%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG159+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n019.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 18:30:47 EDT 2022 % Result : Unsatisfiable 11.34s 11.55s % Output : Proof 11.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : ALG159+1 : TPTP v8.1.0. Released v2.7.0. % 0.10/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n019.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jun 9 01:41:10 EDT 2022 % 0.12/0.33 % CPUTime : % 11.34/11.55 (* PROOF-FOUND *) % 11.34/11.55 % SZS status Unsatisfiable % 11.34/11.55 (* BEGIN-PROOF *) % 11.34/11.55 % SZS output start Proof % 11.34/11.55 Theorem zenon_thm : False. % 11.34/11.55 Proof. % 11.34/11.55 assert (zenon_L1_ : (~((e0) = (e0))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H1d. % 11.34/11.55 apply zenon_H1d. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L1_ *) % 11.34/11.55 assert (zenon_L2_ : (~((op (e0) (op (e0) (e0))) = (op (e0) (e0)))) -> ((op (e0) (e0)) = (e0)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H1e zenon_H1f. % 11.34/11.55 cut (((op (e0) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 11.34/11.55 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_H1d. apply refl_equal. % 11.34/11.55 exact (zenon_H20 zenon_H1f). % 11.34/11.55 (* end of lemma zenon_L2_ *) % 11.34/11.55 assert (zenon_L3_ : (~((op (e0) (op (e0) (e0))) = (e0))) -> ((op (e0) (e0)) = (e0)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H21 zenon_H1f. % 11.34/11.55 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (op (e0) (e0))) = (e0))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H21. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H1f. % 11.34/11.55 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.55 cut (((op (e0) (e0)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.34/11.55 congruence. % 11.34/11.55 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 11.34/11.55 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e0)) = (op (e0) (op (e0) (e0))))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H22. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H23. % 11.34/11.55 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 11.34/11.55 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1e]. % 11.34/11.55 congruence. % 11.34/11.55 apply (zenon_L2_); trivial. % 11.34/11.55 apply zenon_H24. apply refl_equal. % 11.34/11.55 apply zenon_H24. apply refl_equal. % 11.34/11.55 apply zenon_H1d. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L3_ *) % 11.34/11.55 assert (zenon_L4_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3)))))))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H25. % 11.34/11.55 apply (zenon_and_s _ _ zenon_H25). zenon_intro zenon_H1f. zenon_intro zenon_H26. % 11.34/11.55 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H1f. zenon_intro zenon_H27. % 11.34/11.55 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.34/11.55 apply (zenon_L3_); trivial. % 11.34/11.55 (* end of lemma zenon_L4_ *) % 11.34/11.55 assert (zenon_L5_ : (~((e1) = (e1))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H29. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L5_ *) % 11.34/11.55 assert (zenon_L6_ : (~((op (e1) (op (e1) (e0))) = (e0))) -> ((op (e1) (e0)) = (e0)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H2a zenon_H2b. % 11.34/11.55 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (op (e1) (e0))) = (e0))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H2a. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H2b. % 11.34/11.55 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.55 cut (((op (e1) (e0)) = (op (e1) (op (e1) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H2c]. % 11.34/11.55 congruence. % 11.34/11.55 elim (classic ((op (e1) (op (e1) (e0))) = (op (e1) (op (e1) (e0))))); [ zenon_intro zenon_H2d | zenon_intro zenon_H2e ]. % 11.34/11.55 cut (((op (e1) (op (e1) (e0))) = (op (e1) (op (e1) (e0)))) = ((op (e1) (e0)) = (op (e1) (op (e1) (e0))))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H2c. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H2d. % 11.34/11.55 cut (((op (e1) (op (e1) (e0))) = (op (e1) (op (e1) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H2e]. % 11.34/11.55 cut (((op (e1) (op (e1) (e0))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e1) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 exact (zenon_H30 zenon_H2b). % 11.34/11.55 apply zenon_H2e. apply refl_equal. % 11.34/11.55 apply zenon_H2e. apply refl_equal. % 11.34/11.55 apply zenon_H1d. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L6_ *) % 11.34/11.55 assert (zenon_L7_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3)))))))) -> (~((op (e1) (op (e1) (e0))) = (e0))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H31 zenon_H2a. % 11.34/11.55 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32. % 11.34/11.55 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H2b. zenon_intro zenon_H27. % 11.34/11.55 apply (zenon_L6_); trivial. % 11.34/11.55 (* end of lemma zenon_L7_ *) % 11.34/11.55 assert (zenon_L8_ : (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H34 zenon_H33 zenon_H35. % 11.34/11.55 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e2)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H34. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H33. % 11.34/11.55 cut (((e0) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.34/11.55 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_H37. apply refl_equal. % 11.34/11.55 apply zenon_H36. apply sym_equal. exact zenon_H35. % 11.34/11.55 (* end of lemma zenon_L8_ *) % 11.34/11.55 assert (zenon_L9_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H38 zenon_H33 zenon_H39. % 11.34/11.55 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H3a | zenon_intro zenon_H3b ]. % 11.34/11.55 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e1)) = (op (e0) (e3)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H39. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H3a. % 11.34/11.55 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.34/11.55 cut (((op (e0) (e3)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e0) (e1)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H3c. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H38. % 11.34/11.55 cut (((e0) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 11.34/11.55 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_H3b. apply refl_equal. % 11.34/11.55 apply zenon_H3d. apply sym_equal. exact zenon_H33. % 11.34/11.55 apply zenon_H3b. apply refl_equal. % 11.34/11.55 apply zenon_H3b. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L9_ *) % 11.34/11.55 assert (zenon_L10_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H33 zenon_H3e zenon_H3f. % 11.34/11.55 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H40 | zenon_intro zenon_H29 ]. % 11.34/11.55 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H3f. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H40. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e0) (e1)) = (e0)) = ((e1) = (e0))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H41. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H33. % 11.34/11.55 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.55 cut (((op (e0) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_H42 zenon_H3e). % 11.34/11.55 apply zenon_H1d. apply refl_equal. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L10_ *) % 11.34/11.55 assert (zenon_L11_ : (~((op (e1) (op (e1) (e1))) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H43 zenon_H44. % 11.34/11.55 cut (((op (e1) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 exact (zenon_H45 zenon_H44). % 11.34/11.55 (* end of lemma zenon_L11_ *) % 11.34/11.55 assert (zenon_L12_ : (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e1) (e1)) = (e1)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H46 zenon_H44. % 11.34/11.55 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (op (e1) (e1))) = (e1))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H46. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H44. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 cut (((op (e1) (e1)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H47]. % 11.34/11.55 congruence. % 11.34/11.55 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 11.34/11.55 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e1)) = (op (e1) (op (e1) (e1))))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H47. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H48. % 11.34/11.55 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 11.34/11.55 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 11.34/11.55 congruence. % 11.34/11.55 apply (zenon_L11_); trivial. % 11.34/11.55 apply zenon_H49. apply refl_equal. % 11.34/11.55 apply zenon_H49. apply refl_equal. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L12_ *) % 11.34/11.55 assert (zenon_L13_ : (((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3)))))))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H4a. % 11.34/11.55 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H44. zenon_intro zenon_H4b. % 11.34/11.55 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H44. zenon_intro zenon_H4c. % 11.34/11.55 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.34/11.55 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.34/11.55 apply (zenon_L12_); trivial. % 11.34/11.55 (* end of lemma zenon_L13_ *) % 11.34/11.55 assert (zenon_L14_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H33 zenon_H1f zenon_H4f. % 11.34/11.55 elim (classic ((op (e0) (e1)) = (op (e0) (e1)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H37 ]. % 11.34/11.55 cut (((op (e0) (e1)) = (op (e0) (e1))) = ((op (e0) (e0)) = (op (e0) (e1)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H4f. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H50. % 11.34/11.55 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.34/11.55 cut (((op (e0) (e1)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e0)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H51. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H33. % 11.34/11.55 cut (((e0) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 11.34/11.55 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_H37. apply refl_equal. % 11.34/11.55 apply zenon_H52. apply sym_equal. exact zenon_H1f. % 11.34/11.55 apply zenon_H37. apply refl_equal. % 11.34/11.55 apply zenon_H37. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L14_ *) % 11.34/11.55 assert (zenon_L15_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H53 zenon_H54 zenon_H55. % 11.34/11.55 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e1) (e2)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H53. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H54. % 11.34/11.55 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H56]. % 11.34/11.55 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_H57. apply refl_equal. % 11.34/11.55 apply zenon_H56. apply sym_equal. exact zenon_H55. % 11.34/11.55 (* end of lemma zenon_L15_ *) % 11.34/11.55 assert (zenon_L16_ : (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H58 zenon_H59 zenon_H55. % 11.34/11.55 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e1) (e2)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H58. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H59. % 11.34/11.55 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H56]. % 11.34/11.55 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_H5a. apply refl_equal. % 11.34/11.55 apply zenon_H56. apply sym_equal. exact zenon_H55. % 11.34/11.55 (* end of lemma zenon_L16_ *) % 11.34/11.55 assert (zenon_L17_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H5b zenon_H5c zenon_H3f. % 11.34/11.55 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H40 | zenon_intro zenon_H29 ]. % 11.34/11.55 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H3f. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H40. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e2) (e0)) = (e0)) = ((e1) = (e0))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H41. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H5b. % 11.34/11.55 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.55 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H5d]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_H5d zenon_H5c). % 11.34/11.55 apply zenon_H1d. apply refl_equal. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L17_ *) % 11.34/11.55 assert (zenon_L18_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H33 zenon_H5e zenon_H5f. % 11.34/11.55 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.34/11.55 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H5f. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H60. % 11.34/11.55 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.55 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e0) (e1)) = (e0)) = ((e2) = (e0))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H62. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H33. % 11.34/11.55 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.55 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_H63 zenon_H5e). % 11.34/11.55 apply zenon_H1d. apply refl_equal. % 11.34/11.55 apply zenon_H61. apply refl_equal. % 11.34/11.55 apply zenon_H61. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L18_ *) % 11.34/11.55 assert (zenon_L19_ : (~((op (e1) (op (e1) (e1))) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H64 zenon_H65. % 11.34/11.55 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H66]. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 exact (zenon_H66 zenon_H65). % 11.34/11.55 (* end of lemma zenon_L19_ *) % 11.34/11.55 assert (zenon_L20_ : (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H46 zenon_H55 zenon_H65. % 11.34/11.55 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (op (e1) (e1))) = (e1))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H46. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H55. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H67]. % 11.34/11.55 congruence. % 11.34/11.55 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 11.34/11.55 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e1))))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H67. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H48. % 11.34/11.55 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 11.34/11.55 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 11.34/11.55 congruence. % 11.34/11.55 apply (zenon_L19_); trivial. % 11.34/11.55 apply zenon_H49. apply refl_equal. % 11.34/11.55 apply zenon_H49. apply refl_equal. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L20_ *) % 11.34/11.55 assert (zenon_L21_ : (~((e2) = (e2))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H61. % 11.34/11.55 apply zenon_H61. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L21_ *) % 11.34/11.55 assert (zenon_L22_ : (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e1)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H68 zenon_H69 zenon_H6a. % 11.34/11.55 cut (((op (e2) (e1)) = (e2)) = ((e1) = (e2))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H68. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H69. % 11.34/11.55 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.55 cut (((op (e2) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_H6b zenon_H6a). % 11.34/11.55 apply zenon_H61. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L22_ *) % 11.34/11.55 assert (zenon_L23_ : (~((op (op (e0) (e0)) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H6c zenon_H6d. % 11.34/11.55 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.55 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_H6e zenon_H6d). % 11.34/11.55 apply zenon_H1d. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L23_ *) % 11.34/11.55 assert (zenon_L24_ : ((op (e3) (e1)) = (e2)) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> (~((e2) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H6f zenon_H6d zenon_H70 zenon_H71. % 11.34/11.55 elim (classic ((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ]. % 11.34/11.55 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0)))) = ((e2) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H71. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H72. % 11.34/11.55 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 11.34/11.55 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e3) (e1)) = (e2)) = ((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (e2))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H74. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H6f. % 11.34/11.55 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.55 cut (((op (e3) (e1)) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 11.34/11.55 congruence. % 11.34/11.55 elim (classic ((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ]. % 11.34/11.55 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0)))) = ((op (e3) (e1)) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H75. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H72. % 11.34/11.55 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 11.34/11.55 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (op (e0) (e0)) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 11.34/11.55 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_H6e zenon_H6d). % 11.34/11.55 cut (((op (e3) (e0)) = (e1)) = ((op (op (e0) (e0)) (e0)) = (e1))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H77. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H70. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 cut (((op (e3) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H78]. % 11.34/11.55 congruence. % 11.34/11.55 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 11.34/11.55 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e3) (e0)) = (op (op (e0) (e0)) (e0)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H78. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H79. % 11.34/11.55 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 11.34/11.55 cut (((op (op (e0) (e0)) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H6c]. % 11.34/11.55 congruence. % 11.34/11.55 apply (zenon_L23_); trivial. % 11.34/11.55 apply zenon_H7a. apply refl_equal. % 11.34/11.55 apply zenon_H7a. apply refl_equal. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 apply zenon_H73. apply refl_equal. % 11.34/11.55 apply zenon_H73. apply refl_equal. % 11.34/11.55 apply zenon_H61. apply refl_equal. % 11.34/11.55 apply zenon_H73. apply refl_equal. % 11.34/11.55 apply zenon_H73. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L24_ *) % 11.34/11.55 assert (zenon_L25_ : ((op (e3) (e1)) = (e2)) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H6f zenon_H6d zenon_H70. % 11.34/11.55 apply (zenon_notand_s _ _ ax7); [ zenon_intro zenon_H7c | zenon_intro zenon_H7b ]. % 11.34/11.55 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 11.34/11.55 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((e1) = (op (op (e0) (e0)) (e0)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H7c. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H79. % 11.34/11.55 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 11.34/11.55 cut (((op (op (e0) (e0)) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e3) (e0)) = (e1)) = ((op (op (e0) (e0)) (e0)) = (e1))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H77. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H70. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 cut (((op (e3) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H78]. % 11.34/11.55 congruence. % 11.34/11.55 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 11.34/11.55 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e3) (e0)) = (op (op (e0) (e0)) (e0)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H78. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H79. % 11.34/11.55 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 11.34/11.55 cut (((op (op (e0) (e0)) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H6c]. % 11.34/11.55 congruence. % 11.34/11.55 apply (zenon_L23_); trivial. % 11.34/11.55 apply zenon_H7a. apply refl_equal. % 11.34/11.55 apply zenon_H7a. apply refl_equal. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 apply zenon_H7a. apply refl_equal. % 11.34/11.55 apply zenon_H7a. apply refl_equal. % 11.34/11.55 apply (zenon_notand_s _ _ zenon_H7b); [ zenon_intro zenon_H7d | zenon_intro zenon_H71 ]. % 11.34/11.55 apply zenon_H7d. apply sym_equal. exact zenon_H6d. % 11.34/11.55 apply (zenon_L24_); trivial. % 11.34/11.55 (* end of lemma zenon_L25_ *) % 11.34/11.55 assert (zenon_L26_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H7e zenon_H5f zenon_H33 zenon_H55 zenon_H46 zenon_H6a zenon_H68 zenon_H6d zenon_H70. % 11.34/11.55 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.34/11.55 apply (zenon_L18_); trivial. % 11.34/11.55 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.34/11.55 apply (zenon_L20_); trivial. % 11.34/11.55 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.34/11.55 apply (zenon_L22_); trivial. % 11.34/11.55 apply (zenon_L25_); trivial. % 11.34/11.55 (* end of lemma zenon_L26_ *) % 11.34/11.55 assert (zenon_L27_ : ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H2b zenon_H81 zenon_H82. % 11.34/11.55 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.55 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H82. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H83. % 11.34/11.55 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.55 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e1) (e0)) = (e0)) = ((e3) = (e0))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H85. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H2b. % 11.34/11.55 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.55 cut (((op (e1) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_H86 zenon_H81). % 11.34/11.55 apply zenon_H1d. apply refl_equal. % 11.34/11.55 apply zenon_H84. apply refl_equal. % 11.34/11.55 apply zenon_H84. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L27_ *) % 11.34/11.55 assert (zenon_L28_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H87 zenon_H33 zenon_H88. % 11.34/11.55 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e1) (e1)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H87. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H33. % 11.34/11.55 cut (((e0) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H89]. % 11.34/11.55 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_H37. apply refl_equal. % 11.34/11.55 apply zenon_H89. apply sym_equal. exact zenon_H88. % 11.34/11.55 (* end of lemma zenon_L28_ *) % 11.34/11.55 assert (zenon_L29_ : ((op (e1) (e2)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H8a zenon_H55 zenon_H3f. % 11.34/11.55 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H40 | zenon_intro zenon_H29 ]. % 11.34/11.55 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H3f. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H40. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e1) (e2)) = (e0)) = ((e1) = (e0))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H41. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H8a. % 11.34/11.55 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.55 cut (((op (e1) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_H8b zenon_H55). % 11.34/11.55 apply zenon_H1d. apply refl_equal. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L29_ *) % 11.34/11.55 assert (zenon_L30_ : (~((e3) = (e3))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H84. % 11.34/11.55 apply zenon_H84. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L30_ *) % 11.34/11.55 assert (zenon_L31_ : (~((op (e1) (op (e1) (e3))) = (e3))) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e3)) = (e0)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H8c zenon_H81 zenon_H8d. % 11.34/11.55 cut (((op (e1) (e0)) = (e3)) = ((op (e1) (op (e1) (e3))) = (e3))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H8c. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H81. % 11.34/11.55 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.55 cut (((op (e1) (e0)) = (op (e1) (op (e1) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H8e]. % 11.34/11.55 congruence. % 11.34/11.55 elim (classic ((op (e1) (op (e1) (e3))) = (op (e1) (op (e1) (e3))))); [ zenon_intro zenon_H8f | zenon_intro zenon_H90 ]. % 11.34/11.55 cut (((op (e1) (op (e1) (e3))) = (op (e1) (op (e1) (e3)))) = ((op (e1) (e0)) = (op (e1) (op (e1) (e3))))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H8e. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H8f. % 11.34/11.55 cut (((op (e1) (op (e1) (e3))) = (op (e1) (op (e1) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 11.34/11.55 cut (((op (e1) (op (e1) (e3))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H91]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e1) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H92]. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 exact (zenon_H92 zenon_H8d). % 11.34/11.55 apply zenon_H90. apply refl_equal. % 11.34/11.55 apply zenon_H90. apply refl_equal. % 11.34/11.55 apply zenon_H84. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L31_ *) % 11.34/11.55 assert (zenon_L32_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H5b zenon_H93 zenon_H82. % 11.34/11.55 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.55 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H82. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H83. % 11.34/11.55 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.55 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e2) (e0)) = (e0)) = ((e3) = (e0))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H85. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H5b. % 11.34/11.55 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.55 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H94]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_H94 zenon_H93). % 11.34/11.55 apply zenon_H1d. apply refl_equal. % 11.34/11.55 apply zenon_H84. apply refl_equal. % 11.34/11.55 apply zenon_H84. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L32_ *) % 11.34/11.55 assert (zenon_L33_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e1)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H95 zenon_H96 zenon_H70. % 11.34/11.55 cut (((op (e0) (e0)) = (e1)) = ((op (e0) (e0)) = (op (e3) (e0)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H95. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H96. % 11.34/11.55 cut (((e1) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H97]. % 11.34/11.55 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_H98. apply refl_equal. % 11.34/11.55 apply zenon_H97. apply sym_equal. exact zenon_H70. % 11.34/11.55 (* end of lemma zenon_L33_ *) % 11.34/11.55 assert (zenon_L34_ : (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H99 zenon_H6a zenon_H9a. % 11.34/11.55 cut (((op (e2) (e1)) = (e1)) = ((op (e2) (e1)) = (op (e3) (e1)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H99. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H6a. % 11.34/11.55 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 11.34/11.55 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_H9c. apply refl_equal. % 11.34/11.55 apply zenon_H9b. apply sym_equal. exact zenon_H9a. % 11.34/11.55 (* end of lemma zenon_L34_ *) % 11.34/11.55 assert (zenon_L35_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H9d zenon_H55 zenon_H9e. % 11.34/11.55 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e3) (e2)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H9d. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H55. % 11.34/11.55 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9f]. % 11.34/11.55 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_Ha0. apply refl_equal. % 11.34/11.55 apply zenon_H9f. apply sym_equal. exact zenon_H9e. % 11.34/11.55 (* end of lemma zenon_L35_ *) % 11.34/11.55 assert (zenon_L36_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> False). % 11.34/11.55 do 0 intro. intros zenon_Ha1 zenon_Ha2 zenon_Ha3. % 11.34/11.55 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e3) (e3)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Ha1. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_Ha2. % 11.34/11.55 cut (((e1) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 11.34/11.55 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_H3b. apply refl_equal. % 11.34/11.55 apply zenon_Ha4. apply sym_equal. exact zenon_Ha3. % 11.34/11.55 (* end of lemma zenon_L36_ *) % 11.34/11.55 assert (zenon_L37_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.34/11.55 do 0 intro. intros zenon_Ha5 zenon_H96 zenon_H95 zenon_H6a zenon_H99 zenon_H55 zenon_H9d zenon_Ha1 zenon_Ha2. % 11.34/11.55 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.34/11.55 apply (zenon_L33_); trivial. % 11.34/11.55 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.34/11.55 apply (zenon_L34_); trivial. % 11.34/11.55 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.34/11.55 apply (zenon_L35_); trivial. % 11.34/11.55 apply (zenon_L36_); trivial. % 11.34/11.55 (* end of lemma zenon_L37_ *) % 11.34/11.55 assert (zenon_L38_ : (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> False). % 11.34/11.55 do 0 intro. intros zenon_Ha8 zenon_Ha9 zenon_H70. % 11.34/11.55 cut (((op (e3) (e0)) = (e3)) = ((e1) = (e3))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Ha8. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_Ha9. % 11.34/11.55 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.55 cut (((op (e3) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Haa]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_Haa zenon_H70). % 11.34/11.55 apply zenon_H84. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L38_ *) % 11.34/11.55 assert (zenon_L39_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.34/11.55 do 0 intro. intros zenon_Hab zenon_Ha2 zenon_Ha1 zenon_H9d zenon_H99 zenon_H6a zenon_H95 zenon_Ha5 zenon_H55 zenon_H58 zenon_H3f zenon_H5b zenon_Ha8 zenon_Ha9. % 11.34/11.55 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.34/11.55 apply (zenon_L37_); trivial. % 11.34/11.55 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.34/11.55 apply (zenon_L16_); trivial. % 11.34/11.55 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.34/11.55 apply (zenon_L17_); trivial. % 11.34/11.55 apply (zenon_L38_); trivial. % 11.34/11.55 (* end of lemma zenon_L39_ *) % 11.34/11.55 assert (zenon_L40_ : ((op (e2) (e1)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H6a zenon_H3e zenon_Hae. % 11.34/11.55 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_Haf | zenon_intro zenon_H9c ]. % 11.34/11.55 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e0) (e1)) = (op (e2) (e1)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Hae. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_Haf. % 11.34/11.55 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 11.34/11.55 cut (((op (e2) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hb0]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e2) (e1)) = (e1)) = ((op (e2) (e1)) = (op (e0) (e1)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Hb0. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H6a. % 11.34/11.55 cut (((e1) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hb1]. % 11.34/11.55 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_H9c. apply refl_equal. % 11.34/11.55 apply zenon_Hb1. apply sym_equal. exact zenon_H3e. % 11.34/11.55 apply zenon_H9c. apply refl_equal. % 11.34/11.55 apply zenon_H9c. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L40_ *) % 11.34/11.55 assert (zenon_L41_ : ((op (e2) (e1)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H6a zenon_H5c zenon_Hb2. % 11.34/11.55 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_Haf | zenon_intro zenon_H9c ]. % 11.34/11.55 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e2) (e0)) = (op (e2) (e1)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Hb2. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_Haf. % 11.34/11.55 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 11.34/11.55 cut (((op (e2) (e1)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb3]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e2) (e1)) = (e1)) = ((op (e2) (e1)) = (op (e2) (e0)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Hb3. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H6a. % 11.34/11.55 cut (((e1) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb4]. % 11.34/11.55 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_H9c. apply refl_equal. % 11.34/11.55 apply zenon_Hb4. apply sym_equal. exact zenon_H5c. % 11.34/11.55 apply zenon_H9c. apply refl_equal. % 11.34/11.55 apply zenon_H9c. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L41_ *) % 11.34/11.55 assert (zenon_L42_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.34/11.55 do 0 intro. intros zenon_Hb5 zenon_H70 zenon_H3f. % 11.34/11.55 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H40 | zenon_intro zenon_H29 ]. % 11.34/11.55 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H3f. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H40. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e3) (e0)) = (e0)) = ((e1) = (e0))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H41. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_Hb5. % 11.34/11.55 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.55 cut (((op (e3) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Haa]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_Haa zenon_H70). % 11.34/11.55 apply zenon_H1d. apply refl_equal. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L42_ *) % 11.34/11.55 assert (zenon_L43_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (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 (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.34/11.55 do 0 intro. intros zenon_Hab zenon_Ha2 zenon_Ha1 zenon_H9d zenon_H99 zenon_H95 zenon_Ha5 zenon_H55 zenon_H58 zenon_Hb2 zenon_H6a zenon_Hb5 zenon_H3f. % 11.34/11.55 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.34/11.55 apply (zenon_L37_); trivial. % 11.34/11.55 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.34/11.55 apply (zenon_L16_); trivial. % 11.34/11.55 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.34/11.55 apply (zenon_L41_); trivial. % 11.34/11.55 apply (zenon_L42_); trivial. % 11.34/11.55 (* end of lemma zenon_L43_ *) % 11.34/11.55 assert (zenon_L44_ : ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H2b zenon_H59 zenon_H3f. % 11.34/11.55 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H40 | zenon_intro zenon_H29 ]. % 11.34/11.55 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H3f. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H40. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e1) (e0)) = (e0)) = ((e1) = (e0))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H41. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H2b. % 11.34/11.55 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.55 cut (((op (e1) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_Hb6 zenon_H59). % 11.34/11.55 apply zenon_H1d. apply refl_equal. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L44_ *) % 11.34/11.55 assert (zenon_L45_ : (~((op (e1) (op (e1) (e1))) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e0)) -> False). % 11.34/11.55 do 0 intro. intros zenon_Hb7 zenon_H88. % 11.34/11.55 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hb8]. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 exact (zenon_Hb8 zenon_H88). % 11.34/11.55 (* end of lemma zenon_L45_ *) % 11.34/11.55 assert (zenon_L46_ : (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H46 zenon_H59 zenon_H88. % 11.34/11.55 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (op (e1) (e1))) = (e1))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H46. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H59. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 cut (((op (e1) (e0)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hb9]. % 11.34/11.55 congruence. % 11.34/11.55 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 11.34/11.55 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e0)) = (op (e1) (op (e1) (e1))))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Hb9. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H48. % 11.34/11.55 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 11.34/11.55 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb7]. % 11.34/11.55 congruence. % 11.34/11.55 apply (zenon_L45_); trivial. % 11.34/11.55 apply zenon_H49. apply refl_equal. % 11.34/11.55 apply zenon_H49. apply refl_equal. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L46_ *) % 11.34/11.55 assert (zenon_L47_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H59 zenon_H81 zenon_Ha8. % 11.34/11.55 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.55 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Ha8. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H83. % 11.34/11.55 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.55 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hba]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e1) (e0)) = (e1)) = ((e3) = (e1))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Hba. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H59. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 cut (((op (e1) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_H86 zenon_H81). % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 apply zenon_H84. apply refl_equal. % 11.34/11.55 apply zenon_H84. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L47_ *) % 11.34/11.55 assert (zenon_L48_ : (~((op (e1) (op (e1) (e1))) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e3)) -> False). % 11.34/11.55 do 0 intro. intros zenon_Hbb zenon_Hbc. % 11.34/11.55 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hbd]. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 exact (zenon_Hbd zenon_Hbc). % 11.34/11.55 (* end of lemma zenon_L48_ *) % 11.34/11.55 assert (zenon_L49_ : (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H46 zenon_Hbe zenon_Hbc. % 11.34/11.55 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (op (e1) (e1))) = (e1))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H46. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_Hbe. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hbf]. % 11.34/11.55 congruence. % 11.34/11.55 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 11.34/11.55 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e1))))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Hbf. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H48. % 11.34/11.55 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 11.34/11.55 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hbb]. % 11.34/11.55 congruence. % 11.34/11.55 apply (zenon_L48_); trivial. % 11.34/11.55 apply zenon_H49. apply refl_equal. % 11.34/11.55 apply zenon_H49. apply refl_equal. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L49_ *) % 11.34/11.55 assert (zenon_L50_ : ((op (e1) (e2)) = (e0)) -> ((op (e1) (e2)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H8a zenon_Hc0 zenon_H82. % 11.34/11.55 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.55 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H82. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H83. % 11.34/11.55 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.55 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e1) (e2)) = (e0)) = ((e3) = (e0))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H85. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H8a. % 11.34/11.55 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.55 cut (((op (e1) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hc1]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_Hc1 zenon_Hc0). % 11.34/11.55 apply zenon_H1d. apply refl_equal. % 11.34/11.55 apply zenon_H84. apply refl_equal. % 11.34/11.55 apply zenon_H84. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L50_ *) % 11.34/11.55 assert (zenon_L51_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.34/11.55 do 0 intro. intros zenon_Hbe zenon_Hc2 zenon_Ha8. % 11.34/11.55 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.55 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Ha8. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H83. % 11.34/11.55 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.55 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hba]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e1) (e3)) = (e1)) = ((e3) = (e1))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Hba. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_Hbe. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_Hc3 zenon_Hc2). % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 apply zenon_H84. apply refl_equal. % 11.34/11.55 apply zenon_H84. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L51_ *) % 11.34/11.55 assert (zenon_L52_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.34/11.55 do 0 intro. intros zenon_Hc4 zenon_H59 zenon_H46 zenon_H82 zenon_H8a zenon_Hbe zenon_Ha8. % 11.34/11.55 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.34/11.55 apply (zenon_L47_); trivial. % 11.34/11.55 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.34/11.55 apply (zenon_L49_); trivial. % 11.34/11.55 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.34/11.55 apply (zenon_L50_); trivial. % 11.34/11.55 apply (zenon_L51_); trivial. % 11.34/11.55 (* end of lemma zenon_L52_ *) % 11.34/11.55 assert (zenon_L53_ : (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e0)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H3f zenon_Hbe zenon_H8d. % 11.34/11.55 cut (((op (e1) (e3)) = (e1)) = ((e0) = (e1))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H3f. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_Hbe. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 cut (((op (e1) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H92]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_H92 zenon_H8d). % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L53_ *) % 11.34/11.55 assert (zenon_L54_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.34/11.55 do 0 intro. intros zenon_Hc7 zenon_Ha8 zenon_H82 zenon_H46 zenon_H59 zenon_Hc4 zenon_H3f zenon_Hbe. % 11.34/11.55 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.34/11.55 apply (zenon_L44_); trivial. % 11.34/11.55 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.34/11.55 apply (zenon_L46_); trivial. % 11.34/11.55 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.34/11.55 apply (zenon_L52_); trivial. % 11.34/11.55 apply (zenon_L53_); trivial. % 11.34/11.55 (* end of lemma zenon_L54_ *) % 11.34/11.55 assert (zenon_L55_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3)))))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> False). % 11.34/11.55 do 0 intro. intros zenon_Hca zenon_Hc7 zenon_Ha8 zenon_H82 zenon_H59 zenon_Hc4 zenon_H3f. % 11.34/11.55 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbe. zenon_intro zenon_Hcb. % 11.34/11.55 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_H9a. zenon_intro zenon_H4c. % 11.34/11.55 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.34/11.55 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.34/11.55 apply (zenon_L54_); trivial. % 11.34/11.55 (* end of lemma zenon_L55_ *) % 11.34/11.55 assert (zenon_L56_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False). % 11.34/11.55 do 0 intro. intros zenon_Hcc zenon_H70 zenon_H9a. % 11.34/11.55 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e3) (e1)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Hcc. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H70. % 11.34/11.55 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 11.34/11.55 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_Hcd. apply refl_equal. % 11.34/11.55 apply zenon_H9b. apply sym_equal. exact zenon_H9a. % 11.34/11.55 (* end of lemma zenon_L56_ *) % 11.34/11.55 assert (zenon_L57_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False). % 11.34/11.55 do 0 intro. intros zenon_Hbe zenon_H59 zenon_Hce. % 11.34/11.55 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd0 ]. % 11.34/11.55 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e0)) = (op (e1) (e3)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Hce. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_Hcf. % 11.34/11.55 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd0]. % 11.34/11.55 cut (((op (e1) (e3)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hd1]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e0)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Hd1. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_Hbe. % 11.34/11.55 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 11.34/11.55 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd0]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_Hd0. apply refl_equal. % 11.34/11.55 apply zenon_Hd2. apply sym_equal. exact zenon_H59. % 11.34/11.55 apply zenon_Hd0. apply refl_equal. % 11.34/11.55 apply zenon_Hd0. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L57_ *) % 11.34/11.55 assert (zenon_L58_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H33 zenon_Hd3 zenon_H82. % 11.34/11.55 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.55 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H82. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H83. % 11.34/11.55 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.55 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e0) (e1)) = (e0)) = ((e3) = (e0))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H85. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H33. % 11.34/11.55 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.55 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_Hd4 zenon_Hd3). % 11.34/11.55 apply zenon_H1d. apply refl_equal. % 11.34/11.55 apply zenon_H84. apply refl_equal. % 11.34/11.55 apply zenon_H84. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L58_ *) % 11.34/11.55 assert (zenon_L59_ : (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> False). % 11.34/11.55 do 0 intro. intros zenon_Hd5 zenon_H81 zenon_Hbc. % 11.34/11.55 cut (((op (e1) (e0)) = (e3)) = ((op (e1) (e0)) = (op (e1) (e1)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Hd5. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H81. % 11.34/11.55 cut (((e3) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hd6]. % 11.34/11.55 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_H5a. apply refl_equal. % 11.34/11.55 apply zenon_Hd6. apply sym_equal. exact zenon_Hbc. % 11.34/11.55 (* end of lemma zenon_L59_ *) % 11.34/11.55 assert (zenon_L60_ : (~((op (op (e0) (e0)) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> False). % 11.34/11.55 do 0 intro. intros zenon_Hd7 zenon_Hd8. % 11.34/11.55 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.55 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hd9]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_Hd9 zenon_Hd8). % 11.34/11.55 apply zenon_H1d. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L60_ *) % 11.34/11.55 assert (zenon_L61_ : ((op (e2) (e1)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> (~((e3) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))) -> False). % 11.34/11.55 do 0 intro. intros zenon_Hda zenon_Hd8 zenon_H5c zenon_Hdb. % 11.34/11.55 elim (classic ((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ]. % 11.34/11.55 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0)))) = ((e3) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Hdb. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H72. % 11.34/11.55 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 11.34/11.55 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hdc]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e2) (e1)) = (e3)) = ((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (e3))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Hdc. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_Hda. % 11.34/11.55 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.55 cut (((op (e2) (e1)) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hdd]. % 11.34/11.55 congruence. % 11.34/11.55 elim (classic ((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ]. % 11.34/11.55 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0)))) = ((op (e2) (e1)) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Hdd. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H72. % 11.34/11.55 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 11.34/11.55 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hde]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (op (e0) (e0)) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 11.34/11.55 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hd9]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_Hd9 zenon_Hd8). % 11.34/11.55 cut (((op (e2) (e0)) = (e1)) = ((op (op (e0) (e0)) (e0)) = (e1))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H77. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H5c. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 cut (((op (e2) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hdf]. % 11.34/11.55 congruence. % 11.34/11.55 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 11.34/11.55 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e2) (e0)) = (op (op (e0) (e0)) (e0)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Hdf. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H79. % 11.34/11.55 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 11.34/11.55 cut (((op (op (e0) (e0)) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hd7]. % 11.34/11.55 congruence. % 11.34/11.55 apply (zenon_L60_); trivial. % 11.34/11.55 apply zenon_H7a. apply refl_equal. % 11.34/11.55 apply zenon_H7a. apply refl_equal. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 apply zenon_H73. apply refl_equal. % 11.34/11.55 apply zenon_H73. apply refl_equal. % 11.34/11.55 apply zenon_H84. apply refl_equal. % 11.34/11.55 apply zenon_H73. apply refl_equal. % 11.34/11.55 apply zenon_H73. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L61_ *) % 11.34/11.55 assert (zenon_L62_ : ((op (e2) (e1)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> False). % 11.34/11.55 do 0 intro. intros zenon_Hda zenon_Hd8 zenon_H5c. % 11.34/11.55 apply (zenon_notand_s _ _ ax6); [ zenon_intro zenon_H7c | zenon_intro zenon_He0 ]. % 11.34/11.55 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 11.34/11.55 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((e1) = (op (op (e0) (e0)) (e0)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H7c. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H79. % 11.34/11.55 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 11.34/11.55 cut (((op (op (e0) (e0)) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e2) (e0)) = (e1)) = ((op (op (e0) (e0)) (e0)) = (e1))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H77. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H5c. % 11.34/11.55 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.55 cut (((op (e2) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hdf]. % 11.34/11.55 congruence. % 11.34/11.55 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 11.34/11.55 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e2) (e0)) = (op (op (e0) (e0)) (e0)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Hdf. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H79. % 11.34/11.55 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 11.34/11.55 cut (((op (op (e0) (e0)) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hd7]. % 11.34/11.55 congruence. % 11.34/11.55 apply (zenon_L60_); trivial. % 11.34/11.55 apply zenon_H7a. apply refl_equal. % 11.34/11.55 apply zenon_H7a. apply refl_equal. % 11.34/11.55 apply zenon_H29. apply refl_equal. % 11.34/11.55 apply zenon_H7a. apply refl_equal. % 11.34/11.55 apply zenon_H7a. apply refl_equal. % 11.34/11.55 apply (zenon_notand_s _ _ zenon_He0); [ zenon_intro zenon_He1 | zenon_intro zenon_Hdb ]. % 11.34/11.55 apply zenon_He1. apply sym_equal. exact zenon_Hd8. % 11.34/11.55 apply (zenon_L61_); trivial. % 11.34/11.55 (* end of lemma zenon_L62_ *) % 11.34/11.55 assert (zenon_L63_ : (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e1)) -> False). % 11.34/11.55 do 0 intro. intros zenon_Ha8 zenon_He2 zenon_H9a. % 11.34/11.55 cut (((op (e3) (e1)) = (e3)) = ((e1) = (e3))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Ha8. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_He2. % 11.34/11.55 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.55 cut (((op (e3) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_He3 zenon_H9a). % 11.34/11.55 apply zenon_H84. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L63_ *) % 11.34/11.55 assert (zenon_L64_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3)))))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.34/11.55 do 0 intro. intros zenon_Hca zenon_Ha8 zenon_He2. % 11.34/11.55 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbe. zenon_intro zenon_Hcb. % 11.34/11.55 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_H9a. zenon_intro zenon_H4c. % 11.34/11.55 apply (zenon_L63_); trivial. % 11.34/11.55 (* end of lemma zenon_L64_ *) % 11.34/11.55 assert (zenon_L65_ : (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> False). % 11.34/11.55 do 0 intro. intros zenon_He4 zenon_H59 zenon_H5c. % 11.34/11.55 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e2) (e0)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_He4. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H59. % 11.34/11.55 cut (((e1) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb4]. % 11.34/11.55 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_H5a. apply refl_equal. % 11.34/11.55 apply zenon_Hb4. apply sym_equal. exact zenon_H5c. % 11.34/11.55 (* end of lemma zenon_L65_ *) % 11.34/11.55 assert (zenon_L66_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.34/11.55 do 0 intro. intros zenon_He5 zenon_H5c zenon_He4 zenon_H46 zenon_H3f zenon_H8a zenon_Hc2 zenon_Ha8. % 11.34/11.55 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.34/11.55 apply (zenon_L65_); trivial. % 11.34/11.55 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.34/11.55 apply (zenon_L12_); trivial. % 11.34/11.55 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.34/11.55 apply (zenon_L29_); trivial. % 11.34/11.55 apply (zenon_L51_); trivial. % 11.34/11.55 (* end of lemma zenon_L66_ *) % 11.34/11.55 assert (zenon_L67_ : ((op (e3) (e0)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False). % 11.34/11.55 do 0 intro. intros zenon_Hb5 zenon_H2b zenon_He8. % 11.34/11.55 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_He9 | zenon_intro zenon_Hcd ]. % 11.34/11.55 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e1) (e0)) = (op (e3) (e0)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_He8. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_He9. % 11.34/11.55 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.55 cut (((op (e3) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e1) (e0)))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_Hea. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_Hb5. % 11.34/11.55 cut (((e0) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 11.34/11.55 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.55 congruence. % 11.34/11.55 apply zenon_Hcd. apply refl_equal. % 11.34/11.55 apply zenon_Heb. apply sym_equal. exact zenon_H2b. % 11.34/11.55 apply zenon_Hcd. apply refl_equal. % 11.34/11.55 apply zenon_Hcd. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L67_ *) % 11.34/11.55 assert (zenon_L68_ : (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> False). % 11.34/11.55 do 0 intro. intros zenon_H68 zenon_Hec zenon_H5c. % 11.34/11.55 cut (((op (e2) (e0)) = (e2)) = ((e1) = (e2))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H68. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_Hec. % 11.34/11.55 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.55 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H5d]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_H5d zenon_H5c). % 11.34/11.55 apply zenon_H61. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L68_ *) % 11.34/11.55 assert (zenon_L69_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.34/11.55 do 0 intro. intros zenon_Hb5 zenon_Hed zenon_H5f. % 11.34/11.55 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.34/11.55 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H5f. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H60. % 11.34/11.55 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.55 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 11.34/11.55 congruence. % 11.34/11.55 cut (((op (e3) (e0)) = (e0)) = ((e2) = (e0))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H62. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_Hb5. % 11.34/11.55 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.55 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hee]. % 11.34/11.55 congruence. % 11.34/11.55 exact (zenon_Hee zenon_Hed). % 11.34/11.55 apply zenon_H1d. apply refl_equal. % 11.34/11.55 apply zenon_H61. apply refl_equal. % 11.34/11.55 apply zenon_H61. apply refl_equal. % 11.34/11.55 (* end of lemma zenon_L69_ *) % 11.34/11.55 assert (zenon_L70_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.34/11.55 do 0 intro. intros zenon_H5b zenon_Hec zenon_H5f. % 11.34/11.55 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.34/11.55 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.34/11.55 intro zenon_D_pnotp. % 11.34/11.55 apply zenon_H5f. % 11.34/11.55 rewrite <- zenon_D_pnotp. % 11.34/11.55 exact zenon_H60. % 11.34/11.55 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.55 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e2) (e0)) = (e0)) = ((e2) = (e0))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H62. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H5b. % 11.34/11.56 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.56 cut (((op (e2) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 11.34/11.56 congruence. % 11.34/11.56 exact (zenon_Hef zenon_Hec). % 11.34/11.56 apply zenon_H1d. apply refl_equal. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L70_ *) % 11.34/11.56 assert (zenon_L71_ : (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H68 zenon_Hf0 zenon_H54. % 11.34/11.56 cut (((op (e0) (e2)) = (e2)) = ((e1) = (e2))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H68. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Hf0. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 cut (((op (e0) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 11.34/11.56 congruence. % 11.34/11.56 exact (zenon_Hf1 zenon_H54). % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L71_ *) % 11.34/11.56 assert (zenon_L72_ : (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H39 zenon_H3e zenon_Ha2. % 11.34/11.56 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e0) (e3)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H39. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H3e. % 11.34/11.56 cut (((e1) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 11.34/11.56 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H37. apply refl_equal. % 11.34/11.56 apply zenon_Hf2. apply sym_equal. exact zenon_Ha2. % 11.34/11.56 (* end of lemma zenon_L72_ *) % 11.34/11.56 assert (zenon_L73_ : (~((op (e2) (op (e2) (e1))) = (e1))) -> ((op (e2) (e1)) = (e1)) -> False). % 11.34/11.56 do 0 intro. intros zenon_Hf3 zenon_H6a. % 11.34/11.56 cut (((op (e2) (e1)) = (e1)) = ((op (e2) (op (e2) (e1))) = (e1))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Hf3. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H6a. % 11.34/11.56 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.56 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hf4]. % 11.34/11.56 congruence. % 11.34/11.56 elim (classic ((op (e2) (op (e2) (e1))) = (op (e2) (op (e2) (e1))))); [ zenon_intro zenon_Hf5 | zenon_intro zenon_Hf6 ]. % 11.34/11.56 cut (((op (e2) (op (e2) (e1))) = (op (e2) (op (e2) (e1)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e1))))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Hf4. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Hf5. % 11.34/11.56 cut (((op (e2) (op (e2) (e1))) = (op (e2) (op (e2) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hf6]. % 11.34/11.56 cut (((op (e2) (op (e2) (e1))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hf7]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e2) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 exact (zenon_H6b zenon_H6a). % 11.34/11.56 apply zenon_Hf6. apply refl_equal. % 11.34/11.56 apply zenon_Hf6. apply refl_equal. % 11.34/11.56 apply zenon_H29. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L73_ *) % 11.34/11.56 assert (zenon_L74_ : ((op (e2) (e0)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_Hec zenon_Hf8 zenon_He4. % 11.34/11.56 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfa ]. % 11.34/11.56 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e1) (e0)) = (op (e2) (e0)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_He4. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Hf9. % 11.34/11.56 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 11.34/11.56 cut (((op (e2) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hfb]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e1) (e0)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Hfb. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Hec. % 11.34/11.56 cut (((e2) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 11.34/11.56 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_Hfa. apply refl_equal. % 11.34/11.56 apply zenon_Hfc. apply sym_equal. exact zenon_Hf8. % 11.34/11.56 apply zenon_Hfa. apply refl_equal. % 11.34/11.56 apply zenon_Hfa. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L74_ *) % 11.34/11.56 assert (zenon_L75_ : ((op (e0) (e2)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.34/11.56 do 0 intro. intros zenon_Hf0 zenon_Hfd zenon_Hfe. % 11.34/11.56 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.56 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Hfe. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H83. % 11.34/11.56 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.56 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e0) (e2)) = (e2)) = ((e3) = (e2))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Hff. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Hf0. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H100]. % 11.34/11.56 congruence. % 11.34/11.56 exact (zenon_H100 zenon_Hfd). % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L75_ *) % 11.34/11.56 assert (zenon_L76_ : ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H9a zenon_H6f zenon_H68. % 11.34/11.56 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.34/11.56 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H68. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H60. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e3) (e1)) = (e1)) = ((e2) = (e1))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H101. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H9a. % 11.34/11.56 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.56 cut (((op (e3) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H102]. % 11.34/11.56 congruence. % 11.34/11.56 exact (zenon_H102 zenon_H6f). % 11.34/11.56 apply zenon_H29. apply refl_equal. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L76_ *) % 11.34/11.56 assert (zenon_L77_ : ((op (e3) (e2)) = (e2)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H103 zenon_Hf0 zenon_H104. % 11.34/11.56 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ]. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e0) (e2)) = (op (e3) (e2)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H104. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H105. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H107]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e3) (e2)) = (e2)) = ((op (e3) (e2)) = (op (e0) (e2)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H107. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H103. % 11.34/11.56 cut (((e2) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H108]. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H106. apply refl_equal. % 11.34/11.56 apply zenon_H108. apply sym_equal. exact zenon_Hf0. % 11.34/11.56 apply zenon_H106. apply refl_equal. % 11.34/11.56 apply zenon_H106. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L77_ *) % 11.34/11.56 assert (zenon_L78_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H8d zenon_H8a zenon_H109. % 11.34/11.56 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd0 ]. % 11.34/11.56 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e2)) = (op (e1) (e3)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H109. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Hcf. % 11.34/11.56 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd0]. % 11.34/11.56 cut (((op (e1) (e3)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10a]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (e3)) = (op (e1) (e2)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H10a. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H8d. % 11.34/11.56 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 11.34/11.56 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd0]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_Hd0. apply refl_equal. % 11.34/11.56 apply zenon_H10b. apply sym_equal. exact zenon_H8a. % 11.34/11.56 apply zenon_Hd0. apply refl_equal. % 11.34/11.56 apply zenon_Hd0. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L78_ *) % 11.34/11.56 assert (zenon_L79_ : ((op (e1) (e2)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H10c zenon_H65 zenon_H10d. % 11.34/11.56 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H10e | zenon_intro zenon_Ha0 ]. % 11.34/11.56 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e1) (e1)) = (op (e1) (e2)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H10d. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H10e. % 11.34/11.56 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 11.34/11.56 cut (((op (e1) (e2)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H10f]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e1) (e2)) = (e2)) = ((op (e1) (e2)) = (op (e1) (e1)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H10f. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H10c. % 11.34/11.56 cut (((e2) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 11.34/11.56 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_Ha0. apply refl_equal. % 11.34/11.56 apply zenon_H110. apply sym_equal. exact zenon_H65. % 11.34/11.56 apply zenon_Ha0. apply refl_equal. % 11.34/11.56 apply zenon_Ha0. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L79_ *) % 11.34/11.56 assert (zenon_L80_ : (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e3)) -> ((op (e2) (e2)) = (e3)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H111 zenon_Hc0 zenon_H112. % 11.34/11.56 cut (((op (e1) (e2)) = (e3)) = ((op (e1) (e2)) = (op (e2) (e2)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H111. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Hc0. % 11.34/11.56 cut (((e3) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H113]. % 11.34/11.56 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_Ha0. apply refl_equal. % 11.34/11.56 apply zenon_H113. apply sym_equal. exact zenon_H112. % 11.34/11.56 (* end of lemma zenon_L80_ *) % 11.34/11.56 assert (zenon_L81_ : (((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 (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H114 zenon_H109 zenon_H8d zenon_H59 zenon_H58 zenon_H10d zenon_H65 zenon_H111 zenon_H112. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H8a | zenon_intro zenon_H115 ]. % 11.34/11.56 apply (zenon_L78_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H55 | zenon_intro zenon_H116 ]. % 11.34/11.56 apply (zenon_L16_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H10c | zenon_intro zenon_Hc0 ]. % 11.34/11.56 apply (zenon_L79_); trivial. % 11.34/11.56 apply (zenon_L80_); trivial. % 11.34/11.56 (* end of lemma zenon_L81_ *) % 11.34/11.56 assert (zenon_L82_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H117 zenon_Ha2 zenon_Hbe. % 11.34/11.56 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e1) (e3)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H117. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Ha2. % 11.34/11.56 cut (((e1) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H118]. % 11.34/11.56 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H3b. apply refl_equal. % 11.34/11.56 apply zenon_H118. apply sym_equal. exact zenon_Hbe. % 11.34/11.56 (* end of lemma zenon_L82_ *) % 11.34/11.56 assert (zenon_L83_ : (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H119 zenon_H11a zenon_H11b. % 11.34/11.56 cut (((op (e1) (e3)) = (e2)) = ((op (e1) (e3)) = (op (e3) (e3)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H119. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H11a. % 11.34/11.56 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11c]. % 11.34/11.56 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd0]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_Hd0. apply refl_equal. % 11.34/11.56 apply zenon_H11c. apply sym_equal. exact zenon_H11b. % 11.34/11.56 (* end of lemma zenon_L83_ *) % 11.34/11.56 assert (zenon_L84_ : (~((op (e1) (op (e1) (e3))) = (e3))) -> ((op (e1) (e3)) = (e3)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H8c zenon_Hc2. % 11.34/11.56 cut (((op (e1) (e3)) = (e3)) = ((op (e1) (op (e1) (e3))) = (e3))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H8c. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Hc2. % 11.34/11.56 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.56 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H11d]. % 11.34/11.56 congruence. % 11.34/11.56 elim (classic ((op (e1) (op (e1) (e3))) = (op (e1) (op (e1) (e3))))); [ zenon_intro zenon_H8f | zenon_intro zenon_H90 ]. % 11.34/11.56 cut (((op (e1) (op (e1) (e3))) = (op (e1) (op (e1) (e3)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e3))))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H11d. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H8f. % 11.34/11.56 cut (((op (e1) (op (e1) (e3))) = (op (e1) (op (e1) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 11.34/11.56 cut (((op (e1) (op (e1) (e3))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11e]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 11.34/11.56 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H29. apply refl_equal. % 11.34/11.56 exact (zenon_Hc3 zenon_Hc2). % 11.34/11.56 apply zenon_H90. apply refl_equal. % 11.34/11.56 apply zenon_H90. apply refl_equal. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L84_ *) % 11.34/11.56 assert (zenon_L85_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (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) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H11f zenon_H5f zenon_Hb5 zenon_H68 zenon_H9a zenon_H104 zenon_Hf0 zenon_H120 zenon_H112 zenon_H111 zenon_H65 zenon_H10d zenon_H58 zenon_H59 zenon_H109 zenon_H114 zenon_Ha2 zenon_H117 zenon_H119 zenon_H8c. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.34/11.56 apply (zenon_L69_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.34/11.56 apply (zenon_L76_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.34/11.56 apply (zenon_L77_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H8d | zenon_intro zenon_H123 ]. % 11.34/11.56 apply (zenon_L81_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbe | zenon_intro zenon_H124 ]. % 11.34/11.56 apply (zenon_L82_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11a | zenon_intro zenon_Hc2 ]. % 11.34/11.56 apply (zenon_L83_); trivial. % 11.34/11.56 apply (zenon_L84_); trivial. % 11.34/11.56 (* end of lemma zenon_L85_ *) % 11.34/11.56 assert (zenon_L86_ : (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H125 zenon_Hec zenon_Hed. % 11.34/11.56 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e3) (e0)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H125. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Hec. % 11.34/11.56 cut (((e2) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H126]. % 11.34/11.56 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_Hfa. apply refl_equal. % 11.34/11.56 apply zenon_H126. apply sym_equal. exact zenon_Hed. % 11.34/11.56 (* end of lemma zenon_L86_ *) % 11.34/11.56 assert (zenon_L87_ : (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> False). % 11.34/11.56 do 0 intro. intros zenon_Hfe zenon_H127 zenon_H103. % 11.34/11.56 cut (((op (e3) (e2)) = (e3)) = ((e2) = (e3))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Hfe. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H127. % 11.34/11.56 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.56 cut (((op (e3) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H128]. % 11.34/11.56 congruence. % 11.34/11.56 exact (zenon_H128 zenon_H103). % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L87_ *) % 11.34/11.56 assert (zenon_L88_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.34/11.56 do 0 intro. intros zenon_Ha2 zenon_H129 zenon_Ha8. % 11.34/11.56 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.56 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Ha8. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H83. % 11.34/11.56 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.56 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hba]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e0) (e3)) = (e1)) = ((e3) = (e1))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Hba. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Ha2. % 11.34/11.56 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.56 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 11.34/11.56 congruence. % 11.34/11.56 exact (zenon_H12a zenon_H129). % 11.34/11.56 apply zenon_H29. apply refl_equal. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L88_ *) % 11.34/11.56 assert (zenon_L89_ : ((op (e2) (e3)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H12b zenon_Hc2 zenon_H12c. % 11.34/11.56 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H12d | zenon_intro zenon_H12e ]. % 11.34/11.56 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e1) (e3)) = (op (e2) (e3)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H12c. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H12d. % 11.34/11.56 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12e]. % 11.34/11.56 cut (((op (e2) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e2) (e3)) = (e3)) = ((op (e2) (e3)) = (op (e1) (e3)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H12f. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H12b. % 11.34/11.56 cut (((e3) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H130]. % 11.34/11.56 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12e]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H12e. apply refl_equal. % 11.34/11.56 apply zenon_H130. apply sym_equal. exact zenon_Hc2. % 11.34/11.56 apply zenon_H12e. apply refl_equal. % 11.34/11.56 apply zenon_H12e. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L89_ *) % 11.34/11.56 assert (zenon_L90_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H120 zenon_H109 zenon_Ha8 zenon_H8a zenon_H82 zenon_H46 zenon_H59 zenon_Hc4 zenon_H11b zenon_H119 zenon_H12b zenon_H12c. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H8d | zenon_intro zenon_H123 ]. % 11.34/11.56 apply (zenon_L78_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbe | zenon_intro zenon_H124 ]. % 11.34/11.56 apply (zenon_L52_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11a | zenon_intro zenon_Hc2 ]. % 11.34/11.56 apply (zenon_L83_); trivial. % 11.34/11.56 apply (zenon_L89_); trivial. % 11.34/11.56 (* end of lemma zenon_L90_ *) % 11.34/11.56 assert (zenon_L91_ : (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H131 zenon_H127 zenon_H132. % 11.34/11.56 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e3) (e3)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H131. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H127. % 11.34/11.56 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H133]. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H106. apply refl_equal. % 11.34/11.56 apply zenon_H133. apply sym_equal. exact zenon_H132. % 11.34/11.56 (* end of lemma zenon_L91_ *) % 11.34/11.56 assert (zenon_L92_ : ((op (e1) (e2)) = (e2)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H10c zenon_Hf0 zenon_H53. % 11.34/11.56 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H10e | zenon_intro zenon_Ha0 ]. % 11.34/11.56 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e0) (e2)) = (op (e1) (e2)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H53. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H10e. % 11.34/11.56 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 11.34/11.56 cut (((op (e1) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H134]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e1) (e2)) = (e2)) = ((op (e1) (e2)) = (op (e0) (e2)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H134. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H10c. % 11.34/11.56 cut (((e2) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H108]. % 11.34/11.56 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_Ha0. apply refl_equal. % 11.34/11.56 apply zenon_H108. apply sym_equal. exact zenon_Hf0. % 11.34/11.56 apply zenon_Ha0. apply refl_equal. % 11.34/11.56 apply zenon_Ha0. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L92_ *) % 11.34/11.56 assert (zenon_L93_ : ((op (e2) (e0)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.34/11.56 do 0 intro. intros zenon_Hec zenon_H93 zenon_Hfe. % 11.34/11.56 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.56 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Hfe. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H83. % 11.34/11.56 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.56 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e2) (e0)) = (e2)) = ((e3) = (e2))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Hff. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Hec. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H94]. % 11.34/11.56 congruence. % 11.34/11.56 exact (zenon_H94 zenon_H93). % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L93_ *) % 11.34/11.56 assert (zenon_L94_ : (~((op (e2) (op (e2) (e0))) = (e0))) -> ((op (e2) (e0)) = (e0)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H135 zenon_H5b. % 11.34/11.56 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (op (e2) (e0))) = (e0))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H135. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H5b. % 11.34/11.56 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.56 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H136]. % 11.34/11.56 congruence. % 11.34/11.56 elim (classic ((op (e2) (op (e2) (e0))) = (op (e2) (op (e2) (e0))))); [ zenon_intro zenon_H137 | zenon_intro zenon_H138 ]. % 11.34/11.56 cut (((op (e2) (op (e2) (e0))) = (op (e2) (op (e2) (e0)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e0))))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H136. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H137. % 11.34/11.56 cut (((op (e2) (op (e2) (e0))) = (op (e2) (op (e2) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H138]. % 11.34/11.56 cut (((op (e2) (op (e2) (e0))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H139]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e2) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H13a]. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 exact (zenon_H13a zenon_H5b). % 11.34/11.56 apply zenon_H138. apply refl_equal. % 11.34/11.56 apply zenon_H138. apply refl_equal. % 11.34/11.56 apply zenon_H1d. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L94_ *) % 11.34/11.56 assert (zenon_L95_ : ((op (e2) (e1)) = (e0)) -> ((op (e2) (e1)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H13b zenon_Hda zenon_H82. % 11.34/11.56 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.56 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H82. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H83. % 11.34/11.56 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.56 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e2) (e1)) = (e0)) = ((e3) = (e0))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H85. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H13b. % 11.34/11.56 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.56 cut (((op (e2) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H13c]. % 11.34/11.56 congruence. % 11.34/11.56 exact (zenon_H13c zenon_Hda). % 11.34/11.56 apply zenon_H1d. apply refl_equal. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L95_ *) % 11.34/11.56 assert (zenon_L96_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e0)))) -> ((op (e2) (e2)) = (e0)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H13d zenon_H13e. % 11.34/11.56 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H13f]. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 exact (zenon_H13f zenon_H13e). % 11.34/11.56 (* end of lemma zenon_L96_ *) % 11.34/11.56 assert (zenon_L97_ : (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H140 zenon_Hec zenon_H13e. % 11.34/11.56 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (op (e2) (e2))) = (e2))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H140. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Hec. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H141]. % 11.34/11.56 congruence. % 11.34/11.56 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H142 | zenon_intro zenon_H143 ]. % 11.34/11.56 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e2))))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H141. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H142. % 11.34/11.56 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H143]. % 11.34/11.56 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H13d]. % 11.34/11.56 congruence. % 11.34/11.56 apply (zenon_L96_); trivial. % 11.34/11.56 apply zenon_H143. apply refl_equal. % 11.34/11.56 apply zenon_H143. apply refl_equal. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L97_ *) % 11.34/11.56 assert (zenon_L98_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H12c zenon_H8d zenon_H144. % 11.34/11.56 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (e3)) = (op (e2) (e3)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H12c. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H8d. % 11.34/11.56 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H145]. % 11.34/11.56 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd0]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_Hd0. apply refl_equal. % 11.34/11.56 apply zenon_H145. apply sym_equal. exact zenon_H144. % 11.34/11.56 (* end of lemma zenon_L98_ *) % 11.34/11.56 assert (zenon_L99_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e3)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H146 zenon_H135 zenon_H82 zenon_Hda zenon_Hec zenon_H140 zenon_H12c zenon_H8d. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.34/11.56 apply (zenon_L94_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.34/11.56 apply (zenon_L95_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.34/11.56 apply (zenon_L97_); trivial. % 11.34/11.56 apply (zenon_L98_); trivial. % 11.34/11.56 (* end of lemma zenon_L99_ *) % 11.34/11.56 assert (zenon_L100_ : (~((op (e2) (op (e2) (e3))) = (e3))) -> ((op (e2) (e3)) = (e3)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H149 zenon_H12b. % 11.34/11.56 cut (((op (e2) (e3)) = (e3)) = ((op (e2) (op (e2) (e3))) = (e3))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H149. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H12b. % 11.34/11.56 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.56 cut (((op (e2) (e3)) = (op (e2) (op (e2) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H14a]. % 11.34/11.56 congruence. % 11.34/11.56 elim (classic ((op (e2) (op (e2) (e3))) = (op (e2) (op (e2) (e3))))); [ zenon_intro zenon_H14b | zenon_intro zenon_H14c ]. % 11.34/11.56 cut (((op (e2) (op (e2) (e3))) = (op (e2) (op (e2) (e3)))) = ((op (e2) (e3)) = (op (e2) (op (e2) (e3))))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H14a. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H14b. % 11.34/11.56 cut (((op (e2) (op (e2) (e3))) = (op (e2) (op (e2) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 11.34/11.56 cut (((op (e2) (op (e2) (e3))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H14d]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e2) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 exact (zenon_H14e zenon_H12b). % 11.34/11.56 apply zenon_H14c. apply refl_equal. % 11.34/11.56 apply zenon_H14c. apply refl_equal. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L100_ *) % 11.34/11.56 assert (zenon_L101_ : (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e1) (e2)) = (e2)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H14f zenon_H10c. % 11.34/11.56 cut (((op (e1) (e2)) = (e2)) = ((op (e1) (op (e1) (e2))) = (e2))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H14f. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H10c. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H150]. % 11.34/11.56 congruence. % 11.34/11.56 elim (classic ((op (e1) (op (e1) (e2))) = (op (e1) (op (e1) (e2))))); [ zenon_intro zenon_H151 | zenon_intro zenon_H152 ]. % 11.34/11.56 cut (((op (e1) (op (e1) (e2))) = (op (e1) (op (e1) (e2)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e2))))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H150. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H151. % 11.34/11.56 cut (((op (e1) (op (e1) (e2))) = (op (e1) (op (e1) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H152]. % 11.34/11.56 cut (((op (e1) (op (e1) (e2))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e1) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H154]. % 11.34/11.56 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H29. apply refl_equal. % 11.34/11.56 exact (zenon_H154 zenon_H10c). % 11.34/11.56 apply zenon_H152. apply refl_equal. % 11.34/11.56 apply zenon_H152. apply refl_equal. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L101_ *) % 11.34/11.56 assert (zenon_L102_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H8d zenon_H11a zenon_H5f. % 11.34/11.56 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.34/11.56 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H5f. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H60. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e1) (e3)) = (e0)) = ((e2) = (e0))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H62. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H8d. % 11.34/11.56 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.56 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H155]. % 11.34/11.56 congruence. % 11.34/11.56 exact (zenon_H155 zenon_H11a). % 11.34/11.56 apply zenon_H1d. apply refl_equal. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L102_ *) % 11.34/11.56 assert (zenon_L103_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (op (e2) (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) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H156 zenon_He4 zenon_H149 zenon_H114 zenon_H109 zenon_H59 zenon_H58 zenon_H10d zenon_H111 zenon_H146 zenon_H135 zenon_H82 zenon_Hec zenon_H140 zenon_H12c zenon_Hfe zenon_H157 zenon_H14f zenon_H8d zenon_H5f. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.34/11.56 apply (zenon_L74_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.34/11.56 apply (zenon_L93_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.34/11.56 apply (zenon_L99_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.34/11.56 apply (zenon_L81_); trivial. % 11.34/11.56 apply (zenon_L100_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.34/11.56 apply (zenon_L101_); trivial. % 11.34/11.56 apply (zenon_L102_); trivial. % 11.34/11.56 (* end of lemma zenon_L103_ *) % 11.34/11.56 assert (zenon_L104_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3)))))))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H15c zenon_H14f. % 11.34/11.56 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H69. zenon_intro zenon_H15d. % 11.34/11.56 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H10c. zenon_intro zenon_H15e. % 11.34/11.56 apply (zenon_L101_); trivial. % 11.34/11.56 (* end of lemma zenon_L104_ *) % 11.34/11.56 assert (zenon_L105_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H15f zenon_H160. % 11.34/11.56 cut (((op (e2) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H161]. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 exact (zenon_H161 zenon_H160). % 11.34/11.56 (* end of lemma zenon_L105_ *) % 11.34/11.56 assert (zenon_L106_ : (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e2) (e2)) = (e2)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H140 zenon_H160. % 11.34/11.56 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (op (e2) (e2))) = (e2))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H140. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H160. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 cut (((op (e2) (e2)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H162]. % 11.34/11.56 congruence. % 11.34/11.56 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H142 | zenon_intro zenon_H143 ]. % 11.34/11.56 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e2)) = (op (e2) (op (e2) (e2))))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H162. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H142. % 11.34/11.56 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H143]. % 11.34/11.56 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H15f]. % 11.34/11.56 congruence. % 11.34/11.56 apply (zenon_L105_); trivial. % 11.34/11.56 apply zenon_H143. apply refl_equal. % 11.34/11.56 apply zenon_H143. apply refl_equal. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L106_ *) % 11.34/11.56 assert (zenon_L107_ : (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3)))))))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H163. % 11.34/11.56 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H160. zenon_intro zenon_H164. % 11.34/11.56 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 11.34/11.56 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.34/11.56 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.34/11.56 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.34/11.56 apply (zenon_L106_); trivial. % 11.34/11.56 (* end of lemma zenon_L107_ *) % 11.34/11.56 assert (zenon_L108_ : (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3)))))))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H163. % 11.34/11.56 apply (zenon_L107_); trivial. % 11.34/11.56 (* end of lemma zenon_L108_ *) % 11.34/11.56 assert (zenon_L109_ : ((op (e2) (e3)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H144 zenon_H167 zenon_H5f. % 11.34/11.56 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.34/11.56 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H5f. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H60. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e2) (e3)) = (e0)) = ((e2) = (e0))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H62. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H144. % 11.34/11.56 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.56 cut (((op (e2) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H168]. % 11.34/11.56 congruence. % 11.34/11.56 exact (zenon_H168 zenon_H167). % 11.34/11.56 apply zenon_H1d. apply refl_equal. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L109_ *) % 11.34/11.56 assert (zenon_L110_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H169 zenon_Hb5 zenon_H16a. % 11.34/11.56 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e3)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H169. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Hb5. % 11.34/11.56 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H16b]. % 11.34/11.56 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_Hcd. apply refl_equal. % 11.34/11.56 apply zenon_H16b. apply sym_equal. exact zenon_H16a. % 11.34/11.56 (* end of lemma zenon_L110_ *) % 11.34/11.56 assert (zenon_L111_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H16c zenon_H39 zenon_H33 zenon_H109 zenon_H8a zenon_H5f zenon_H167 zenon_H169 zenon_Hb5. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H38 | zenon_intro zenon_H16d ]. % 11.34/11.56 apply (zenon_L9_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8d | zenon_intro zenon_H16e ]. % 11.34/11.56 apply (zenon_L78_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H144 | zenon_intro zenon_H16a ]. % 11.34/11.56 apply (zenon_L109_); trivial. % 11.34/11.56 apply (zenon_L110_); trivial. % 11.34/11.56 (* end of lemma zenon_L111_ *) % 11.34/11.56 assert (zenon_L112_ : (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> False). % 11.34/11.56 do 0 intro. intros zenon_Hd5 zenon_H59 zenon_H44. % 11.34/11.56 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e1) (e1)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Hd5. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H59. % 11.34/11.56 cut (((e1) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 11.34/11.56 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H5a. apply refl_equal. % 11.34/11.56 apply zenon_H16f. apply sym_equal. exact zenon_H44. % 11.34/11.56 (* end of lemma zenon_L112_ *) % 11.34/11.56 assert (zenon_L113_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H59 zenon_Hf8 zenon_H68. % 11.34/11.56 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.34/11.56 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H68. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H60. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e1) (e0)) = (e1)) = ((e2) = (e1))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H101. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H59. % 11.34/11.56 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.56 cut (((op (e1) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H170]. % 11.34/11.56 congruence. % 11.34/11.56 exact (zenon_H170 zenon_Hf8). % 11.34/11.56 apply zenon_H29. apply refl_equal. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L113_ *) % 11.34/11.56 assert (zenon_L114_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False). % 11.34/11.56 do 0 intro. intros zenon_Hae zenon_H33 zenon_H13b. % 11.34/11.56 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e2) (e1)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Hae. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H33. % 11.34/11.56 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H171]. % 11.34/11.56 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H37. apply refl_equal. % 11.34/11.56 apply zenon_H171. apply sym_equal. exact zenon_H13b. % 11.34/11.56 (* end of lemma zenon_L114_ *) % 11.34/11.56 assert (zenon_L115_ : ((op (e3) (e1)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H9a zenon_H3e zenon_H172. % 11.34/11.56 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H173 | zenon_intro zenon_H174 ]. % 11.34/11.56 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e0) (e1)) = (op (e3) (e1)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H172. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H173. % 11.34/11.56 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 11.34/11.56 cut (((op (e3) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H175]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e0) (e1)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H175. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H9a. % 11.34/11.56 cut (((e1) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hb1]. % 11.34/11.56 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H174. apply refl_equal. % 11.34/11.56 apply zenon_Hb1. apply sym_equal. exact zenon_H3e. % 11.34/11.56 apply zenon_H174. apply refl_equal. % 11.34/11.56 apply zenon_H174. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L115_ *) % 11.34/11.56 assert (zenon_L116_ : ((op (e0) (e1)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H5e zenon_Hd8 zenon_H4f. % 11.34/11.56 elim (classic ((op (e0) (e1)) = (op (e0) (e1)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H37 ]. % 11.34/11.56 cut (((op (e0) (e1)) = (op (e0) (e1))) = ((op (e0) (e0)) = (op (e0) (e1)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H4f. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H50. % 11.34/11.56 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.34/11.56 cut (((op (e0) (e1)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e0) (e0)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H51. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H5e. % 11.34/11.56 cut (((e2) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_He1]. % 11.34/11.56 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H37. apply refl_equal. % 11.34/11.56 apply zenon_He1. apply sym_equal. exact zenon_Hd8. % 11.34/11.56 apply zenon_H37. apply refl_equal. % 11.34/11.56 apply zenon_H37. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L116_ *) % 11.34/11.56 assert (zenon_L117_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H87 zenon_Hd3 zenon_Hbc. % 11.34/11.56 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (e1)) = (op (e1) (e1)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H87. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Hd3. % 11.34/11.56 cut (((e3) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hd6]. % 11.34/11.56 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H37. apply refl_equal. % 11.34/11.56 apply zenon_Hd6. apply sym_equal. exact zenon_Hbc. % 11.34/11.56 (* end of lemma zenon_L117_ *) % 11.34/11.56 assert (zenon_L118_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H176 zenon_H13b zenon_Hae zenon_H172 zenon_H9a zenon_H4f zenon_Hd8 zenon_H87 zenon_Hbc. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33 | zenon_intro zenon_H177 ]. % 11.34/11.56 apply (zenon_L114_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H3e | zenon_intro zenon_H178 ]. % 11.34/11.56 apply (zenon_L115_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H5e | zenon_intro zenon_Hd3 ]. % 11.34/11.56 apply (zenon_L116_); trivial. % 11.34/11.56 apply (zenon_L117_); trivial. % 11.34/11.56 (* end of lemma zenon_L118_ *) % 11.34/11.56 assert (zenon_L119_ : ((op (e2) (e0)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H5c zenon_H93 zenon_Ha8. % 11.34/11.56 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.56 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Ha8. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H83. % 11.34/11.56 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.56 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hba]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e2) (e0)) = (e1)) = ((e3) = (e1))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Hba. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H5c. % 11.34/11.56 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.56 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H94]. % 11.34/11.56 congruence. % 11.34/11.56 exact (zenon_H94 zenon_H93). % 11.34/11.56 apply zenon_H29. apply refl_equal. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L119_ *) % 11.34/11.56 assert (zenon_L120_ : (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H111 zenon_H55 zenon_H179. % 11.34/11.56 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e2) (e2)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H111. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H55. % 11.34/11.56 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H17a]. % 11.34/11.56 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_Ha0. apply refl_equal. % 11.34/11.56 apply zenon_H17a. apply sym_equal. exact zenon_H179. % 11.34/11.56 (* end of lemma zenon_L120_ *) % 11.34/11.56 assert (zenon_L121_ : (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e1)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H68 zenon_H167 zenon_H17b. % 11.34/11.56 cut (((op (e2) (e3)) = (e2)) = ((e1) = (e2))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H68. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H167. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 cut (((op (e2) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H17c]. % 11.34/11.56 congruence. % 11.34/11.56 exact (zenon_H17c zenon_H17b). % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L121_ *) % 11.34/11.56 assert (zenon_L122_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H17d zenon_Ha8 zenon_H93 zenon_Hf3 zenon_H55 zenon_H111 zenon_H68 zenon_H167. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.34/11.56 apply (zenon_L119_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.34/11.56 apply (zenon_L73_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.34/11.56 apply (zenon_L120_); trivial. % 11.34/11.56 apply (zenon_L121_); trivial. % 11.34/11.56 (* end of lemma zenon_L122_ *) % 11.34/11.56 assert (zenon_L123_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H180 zenon_H35 zenon_H13e. % 11.34/11.56 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e2) (e2)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H180. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H35. % 11.34/11.56 cut (((e0) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H181]. % 11.34/11.56 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H57. apply refl_equal. % 11.34/11.56 apply zenon_H181. apply sym_equal. exact zenon_H13e. % 11.34/11.56 (* end of lemma zenon_L123_ *) % 11.34/11.56 assert (zenon_L124_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H180 zenon_H54 zenon_H179. % 11.34/11.56 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e2) (e2)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H180. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H54. % 11.34/11.56 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H17a]. % 11.34/11.56 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H57. apply refl_equal. % 11.34/11.56 apply zenon_H17a. apply sym_equal. exact zenon_H179. % 11.34/11.56 (* end of lemma zenon_L124_ *) % 11.34/11.56 assert (zenon_L125_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H53 zenon_Hfd zenon_Hc0. % 11.34/11.56 cut (((op (e0) (e2)) = (e3)) = ((op (e0) (e2)) = (op (e1) (e2)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H53. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Hfd. % 11.34/11.56 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H182]. % 11.34/11.56 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H57. apply refl_equal. % 11.34/11.56 apply zenon_H182. apply sym_equal. exact zenon_Hc0. % 11.34/11.56 (* end of lemma zenon_L125_ *) % 11.34/11.56 assert (zenon_L126_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H183 zenon_H13e zenon_H179 zenon_H180 zenon_H104 zenon_H103 zenon_H53 zenon_Hc0. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H35 | zenon_intro zenon_H184 ]. % 11.34/11.56 apply (zenon_L123_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H54 | zenon_intro zenon_H185 ]. % 11.34/11.56 apply (zenon_L124_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfd ]. % 11.34/11.56 apply (zenon_L77_); trivial. % 11.34/11.56 apply (zenon_L125_); trivial. % 11.34/11.56 (* end of lemma zenon_L126_ *) % 11.34/11.56 assert (zenon_L127_ : (((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 (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (op (e2) (e1))) = (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) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H114 zenon_H109 zenon_H8d zenon_H167 zenon_H68 zenon_H111 zenon_Hf3 zenon_H93 zenon_Ha8 zenon_H17d zenon_H10d zenon_H65 zenon_H183 zenon_H13e zenon_H179 zenon_H180 zenon_H104 zenon_H103 zenon_H53. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H8a | zenon_intro zenon_H115 ]. % 11.34/11.56 apply (zenon_L78_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H55 | zenon_intro zenon_H116 ]. % 11.34/11.56 apply (zenon_L122_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H10c | zenon_intro zenon_Hc0 ]. % 11.34/11.56 apply (zenon_L79_); trivial. % 11.34/11.56 apply (zenon_L126_); trivial. % 11.34/11.56 (* end of lemma zenon_L127_ *) % 11.34/11.56 assert (zenon_L128_ : ((op (e2) (e1)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H6a zenon_Hda zenon_Ha8. % 11.34/11.56 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.56 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Ha8. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H83. % 11.34/11.56 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.56 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hba]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e2) (e1)) = (e1)) = ((e3) = (e1))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Hba. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H6a. % 11.34/11.56 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.56 cut (((op (e2) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H13c]. % 11.34/11.56 congruence. % 11.34/11.56 exact (zenon_H13c zenon_Hda). % 11.34/11.56 apply zenon_H29. apply refl_equal. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L128_ *) % 11.34/11.56 assert (zenon_L129_ : (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H186 zenon_H5c zenon_H17b. % 11.34/11.56 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (e0)) = (op (e2) (e3)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H186. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H5c. % 11.34/11.56 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H187]. % 11.34/11.56 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_Hfa. apply refl_equal. % 11.34/11.56 apply zenon_H187. apply sym_equal. exact zenon_H17b. % 11.34/11.56 (* end of lemma zenon_L129_ *) % 11.34/11.56 assert (zenon_L130_ : ((op (e2) (e3)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H17b zenon_Hd8 zenon_H93 zenon_H188. % 11.34/11.56 elim (classic ((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ]. % 11.34/11.56 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0)))) = ((e1) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H188. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H72. % 11.34/11.56 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 11.34/11.56 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H189]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e2) (e3)) = (e1)) = ((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (e1))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H189. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H17b. % 11.34/11.56 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.56 cut (((op (e2) (e3)) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H18a]. % 11.34/11.56 congruence. % 11.34/11.56 elim (classic ((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ]. % 11.34/11.56 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0)))) = ((op (e2) (e3)) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H18a. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H72. % 11.34/11.56 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 11.34/11.56 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (op (e0) (e0)) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H18c]. % 11.34/11.56 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hd9]. % 11.34/11.56 congruence. % 11.34/11.56 exact (zenon_Hd9 zenon_Hd8). % 11.34/11.56 cut (((op (e2) (e0)) = (e3)) = ((op (op (e0) (e0)) (e0)) = (e3))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H18c. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H93. % 11.34/11.56 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.56 cut (((op (e2) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hdf]. % 11.34/11.56 congruence. % 11.34/11.56 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 11.34/11.56 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e2) (e0)) = (op (op (e0) (e0)) (e0)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Hdf. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H79. % 11.34/11.56 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 11.34/11.56 cut (((op (op (e0) (e0)) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hd7]. % 11.34/11.56 congruence. % 11.34/11.56 apply (zenon_L60_); trivial. % 11.34/11.56 apply zenon_H7a. apply refl_equal. % 11.34/11.56 apply zenon_H7a. apply refl_equal. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 apply zenon_H73. apply refl_equal. % 11.34/11.56 apply zenon_H73. apply refl_equal. % 11.34/11.56 apply zenon_H29. apply refl_equal. % 11.34/11.56 apply zenon_H73. apply refl_equal. % 11.34/11.56 apply zenon_H73. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L130_ *) % 11.34/11.56 assert (zenon_L131_ : ((op (e2) (e3)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H17b zenon_Hd8 zenon_H93. % 11.34/11.56 apply (zenon_notand_s _ _ ax11); [ zenon_intro zenon_H18e | zenon_intro zenon_H18d ]. % 11.34/11.56 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 11.34/11.56 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((e3) = (op (op (e0) (e0)) (e0)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H18e. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H79. % 11.34/11.56 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 11.34/11.56 cut (((op (op (e0) (e0)) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H18c]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e2) (e0)) = (e3)) = ((op (op (e0) (e0)) (e0)) = (e3))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H18c. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H93. % 11.34/11.56 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.56 cut (((op (e2) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hdf]. % 11.34/11.56 congruence. % 11.34/11.56 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 11.34/11.56 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e2) (e0)) = (op (op (e0) (e0)) (e0)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Hdf. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H79. % 11.34/11.56 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 11.34/11.56 cut (((op (op (e0) (e0)) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hd7]. % 11.34/11.56 congruence. % 11.34/11.56 apply (zenon_L60_); trivial. % 11.34/11.56 apply zenon_H7a. apply refl_equal. % 11.34/11.56 apply zenon_H7a. apply refl_equal. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 apply zenon_H7a. apply refl_equal. % 11.34/11.56 apply zenon_H7a. apply refl_equal. % 11.34/11.56 apply (zenon_notand_s _ _ zenon_H18d); [ zenon_intro zenon_He1 | zenon_intro zenon_H188 ]. % 11.34/11.56 apply zenon_He1. apply sym_equal. exact zenon_Hd8. % 11.34/11.56 apply (zenon_L130_); trivial. % 11.34/11.56 (* end of lemma zenon_L131_ *) % 11.34/11.56 assert (zenon_L132_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e2) (e3)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H18f zenon_H135 zenon_H186 zenon_H13e zenon_H140 zenon_H17b zenon_Hd8. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H5b | zenon_intro zenon_H190 ]. % 11.34/11.56 apply (zenon_L94_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H5c | zenon_intro zenon_H191 ]. % 11.34/11.56 apply (zenon_L129_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hec | zenon_intro zenon_H93 ]. % 11.34/11.56 apply (zenon_L97_); trivial. % 11.34/11.56 apply (zenon_L131_); trivial. % 11.34/11.56 (* end of lemma zenon_L132_ *) % 11.34/11.56 assert (zenon_L133_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e0) (e0)) = (e2)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H17d zenon_Ha8 zenon_Hda zenon_H55 zenon_H111 zenon_H18f zenon_H135 zenon_H186 zenon_H13e zenon_H140 zenon_Hd8. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.34/11.56 apply (zenon_L62_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.34/11.56 apply (zenon_L128_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.34/11.56 apply (zenon_L120_); trivial. % 11.34/11.56 apply (zenon_L132_); trivial. % 11.34/11.56 (* end of lemma zenon_L133_ *) % 11.34/11.56 assert (zenon_L134_ : (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H192 zenon_H69 zenon_H167. % 11.34/11.56 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e2) (e3)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H192. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H69. % 11.34/11.56 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193]. % 11.34/11.56 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H9c. apply refl_equal. % 11.34/11.56 apply zenon_H193. apply sym_equal. exact zenon_H167. % 11.34/11.56 (* end of lemma zenon_L134_ *) % 11.34/11.56 assert (zenon_L135_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H7e zenon_H4f zenon_Hd8 zenon_H10d zenon_H10c zenon_H167 zenon_H192 zenon_H9a zenon_H68. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.34/11.56 apply (zenon_L116_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.34/11.56 apply (zenon_L79_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.34/11.56 apply (zenon_L134_); trivial. % 11.34/11.56 apply (zenon_L76_); trivial. % 11.34/11.56 (* end of lemma zenon_L135_ *) % 11.34/11.56 assert (zenon_L136_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H194 zenon_H112. % 11.34/11.56 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H195]. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 exact (zenon_H195 zenon_H112). % 11.34/11.56 (* end of lemma zenon_L136_ *) % 11.34/11.56 assert (zenon_L137_ : (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (e2)) = (e3)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H140 zenon_H167 zenon_H112. % 11.34/11.56 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (op (e2) (e2))) = (e2))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H140. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H167. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 cut (((op (e2) (e3)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H196]. % 11.34/11.56 congruence. % 11.34/11.56 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H142 | zenon_intro zenon_H143 ]. % 11.34/11.56 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e3)) = (op (e2) (op (e2) (e2))))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H196. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H142. % 11.34/11.56 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H143]. % 11.34/11.56 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H194]. % 11.34/11.56 congruence. % 11.34/11.56 apply (zenon_L136_); trivial. % 11.34/11.56 apply zenon_H143. apply refl_equal. % 11.34/11.56 apply zenon_H143. apply refl_equal. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L137_ *) % 11.34/11.56 assert (zenon_L138_ : ((op (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H167 zenon_H12b zenon_Hfe. % 11.34/11.56 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.56 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Hfe. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H83. % 11.34/11.56 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.56 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e2) (e3)) = (e2)) = ((e3) = (e2))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Hff. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H167. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 cut (((op (e2) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 11.34/11.56 congruence. % 11.34/11.56 exact (zenon_H14e zenon_H12b). % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L138_ *) % 11.34/11.56 assert (zenon_L139_ : ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((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 (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H59 zenon_He4 zenon_H99 zenon_Hfe zenon_H140 zenon_H114 zenon_H109 zenon_H8d zenon_H186 zenon_H135 zenon_H18f zenon_H111 zenon_Ha8 zenon_H17d zenon_H9a zenon_H192 zenon_H10d zenon_Hd8 zenon_H4f zenon_H7e zenon_H183 zenon_H13e zenon_H180 zenon_H104 zenon_H103 zenon_H53 zenon_Hf3 zenon_H65 zenon_H157 zenon_H68 zenon_H167. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.34/11.56 apply (zenon_L65_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.34/11.56 apply (zenon_L34_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.34/11.56 apply (zenon_L127_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H8a | zenon_intro zenon_H115 ]. % 11.34/11.56 apply (zenon_L78_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H55 | zenon_intro zenon_H116 ]. % 11.34/11.56 apply (zenon_L133_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H10c | zenon_intro zenon_Hc0 ]. % 11.34/11.56 apply (zenon_L135_); trivial. % 11.34/11.56 apply (zenon_L126_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.34/11.56 apply (zenon_L137_); trivial. % 11.34/11.56 apply (zenon_L138_); trivial. % 11.34/11.56 apply (zenon_L121_); trivial. % 11.34/11.56 (* end of lemma zenon_L139_ *) % 11.34/11.56 assert (zenon_L140_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H146 zenon_Hbc zenon_H87 zenon_H172 zenon_Hae zenon_H176 zenon_H167 zenon_H68 zenon_H157 zenon_H65 zenon_Hf3 zenon_H53 zenon_H103 zenon_H104 zenon_H180 zenon_H183 zenon_H7e zenon_H4f zenon_Hd8 zenon_H10d zenon_H192 zenon_H9a zenon_H17d zenon_Ha8 zenon_H111 zenon_H18f zenon_H135 zenon_H186 zenon_H109 zenon_H114 zenon_H140 zenon_Hfe zenon_H99 zenon_He4 zenon_H59 zenon_H12c zenon_H8d. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.34/11.56 apply (zenon_L94_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.34/11.56 apply (zenon_L118_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.34/11.56 apply (zenon_L139_); trivial. % 11.34/11.56 apply (zenon_L98_); trivial. % 11.34/11.56 (* end of lemma zenon_L140_ *) % 11.34/11.56 assert (zenon_L141_ : ((op (e3) (e0)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_Hb5 zenon_H5b zenon_H125. % 11.34/11.56 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_He9 | zenon_intro zenon_Hcd ]. % 11.34/11.56 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e2) (e0)) = (op (e3) (e0)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H125. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_He9. % 11.34/11.56 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.56 cut (((op (e3) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H197]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e2) (e0)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H197. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Hb5. % 11.34/11.56 cut (((e0) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H198]. % 11.34/11.56 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_Hcd. apply refl_equal. % 11.34/11.56 apply zenon_H198. apply sym_equal. exact zenon_H5b. % 11.34/11.56 apply zenon_Hcd. apply refl_equal. % 11.34/11.56 apply zenon_Hcd. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L141_ *) % 11.34/11.56 assert (zenon_L142_ : (((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)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((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 (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H146 zenon_H125 zenon_Hb5 zenon_H82 zenon_Hda zenon_H68 zenon_H157 zenon_H65 zenon_Hf3 zenon_H53 zenon_H103 zenon_H104 zenon_H180 zenon_H183 zenon_H7e zenon_H4f zenon_Hd8 zenon_H10d zenon_H192 zenon_H9a zenon_H17d zenon_Ha8 zenon_H111 zenon_H18f zenon_H135 zenon_H186 zenon_H8d zenon_H109 zenon_H114 zenon_H140 zenon_Hfe zenon_H99 zenon_He4 zenon_H59 zenon_H167 zenon_H5f. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.34/11.56 apply (zenon_L141_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.34/11.56 apply (zenon_L95_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.34/11.56 apply (zenon_L139_); trivial. % 11.34/11.56 apply (zenon_L109_); trivial. % 11.34/11.56 (* end of lemma zenon_L142_ *) % 11.34/11.56 assert (zenon_L143_ : ((op (e2) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H167 zenon_H11a zenon_H12c. % 11.34/11.56 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H12d | zenon_intro zenon_H12e ]. % 11.34/11.56 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e1) (e3)) = (op (e2) (e3)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H12c. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H12d. % 11.34/11.56 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12e]. % 11.34/11.56 cut (((op (e2) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e1) (e3)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H12f. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H167. % 11.34/11.56 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H199]. % 11.34/11.56 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12e]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H12e. apply refl_equal. % 11.34/11.56 apply zenon_H199. apply sym_equal. exact zenon_H11a. % 11.34/11.56 apply zenon_H12e. apply refl_equal. % 11.34/11.56 apply zenon_H12e. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L143_ *) % 11.34/11.56 assert (zenon_L144_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((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)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((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 (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((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). % 11.34/11.56 do 0 intro. intros zenon_H19a zenon_H3f zenon_Hd5 zenon_H156 zenon_Ha8 zenon_H146 zenon_H125 zenon_Hb5 zenon_H82 zenon_H157 zenon_Hf3 zenon_H53 zenon_H103 zenon_H104 zenon_H180 zenon_H183 zenon_H17d zenon_H111 zenon_H18f zenon_H135 zenon_H186 zenon_H8d zenon_H109 zenon_H114 zenon_H140 zenon_Hfe zenon_H99 zenon_He4 zenon_H59 zenon_H5f zenon_H87 zenon_H172 zenon_Hae zenon_H176 zenon_H33 zenon_H19b zenon_H68 zenon_H192 zenon_H10d zenon_Hd8 zenon_H4f zenon_H7e zenon_H167 zenon_H12c. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.34/11.56 apply (zenon_L10_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.34/11.56 apply (zenon_L112_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.34/11.56 apply (zenon_L73_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.34/11.56 apply (zenon_L113_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.34/11.56 apply (zenon_L58_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.34/11.56 apply (zenon_L140_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.34/11.56 apply (zenon_L142_); trivial. % 11.34/11.56 apply (zenon_L63_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.34/11.56 apply (zenon_L135_); trivial. % 11.34/11.56 apply (zenon_L143_); trivial. % 11.34/11.56 (* end of lemma zenon_L144_ *) % 11.34/11.56 assert (zenon_L145_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (op (e1) (e0))) = (e0))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((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)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((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). % 11.34/11.56 do 0 intro. intros zenon_Hc7 zenon_H2a zenon_H46 zenon_H169 zenon_H39 zenon_H16c zenon_H19a zenon_H3f zenon_Hd5 zenon_H156 zenon_Ha8 zenon_H146 zenon_H125 zenon_Hb5 zenon_H82 zenon_H157 zenon_Hf3 zenon_H53 zenon_H103 zenon_H104 zenon_H180 zenon_H183 zenon_H17d zenon_H111 zenon_H18f zenon_H135 zenon_H186 zenon_H109 zenon_H114 zenon_H140 zenon_Hfe zenon_H99 zenon_He4 zenon_H59 zenon_H5f zenon_H87 zenon_H172 zenon_Hae zenon_H176 zenon_H33 zenon_H19b zenon_H68 zenon_H192 zenon_H10d zenon_Hd8 zenon_H4f zenon_H7e zenon_H167 zenon_H12c. % 11.34/11.56 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.34/11.56 apply (zenon_L6_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.34/11.56 apply (zenon_L46_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.34/11.56 apply (zenon_L111_); trivial. % 11.34/11.56 apply (zenon_L144_); trivial. % 11.34/11.56 (* end of lemma zenon_L145_ *) % 11.34/11.56 assert (zenon_L146_ : (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H186 zenon_Hec zenon_H167. % 11.34/11.56 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e2) (e3)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H186. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Hec. % 11.34/11.56 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193]. % 11.34/11.56 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_Hfa. apply refl_equal. % 11.34/11.56 apply zenon_H193. apply sym_equal. exact zenon_H167. % 11.34/11.56 (* end of lemma zenon_L146_ *) % 11.34/11.56 assert (zenon_L147_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H1a0 zenon_H4f zenon_H5e zenon_H68 zenon_H59 zenon_H167 zenon_H186 zenon_Hb5 zenon_H5f. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.34/11.56 apply (zenon_L116_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.34/11.56 apply (zenon_L113_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.34/11.56 apply (zenon_L146_); trivial. % 11.34/11.56 apply (zenon_L69_); trivial. % 11.34/11.56 (* end of lemma zenon_L147_ *) % 11.34/11.56 assert (zenon_L148_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H1a3 zenon_H1a4 zenon_H167. % 11.34/11.56 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (e3)) = (op (e2) (e3)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1a3. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H1a4. % 11.34/11.56 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193]. % 11.34/11.56 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H3b. apply refl_equal. % 11.34/11.56 apply zenon_H193. apply sym_equal. exact zenon_H167. % 11.34/11.56 (* end of lemma zenon_L148_ *) % 11.34/11.56 assert (zenon_L149_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H157 zenon_Ha8 zenon_H5c zenon_Hd8 zenon_H167 zenon_H140 zenon_H149. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.34/11.56 apply (zenon_L119_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.34/11.56 apply (zenon_L62_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.34/11.56 apply (zenon_L137_); trivial. % 11.34/11.56 apply (zenon_L100_); trivial. % 11.34/11.56 (* end of lemma zenon_L149_ *) % 11.34/11.56 assert (zenon_L150_ : ((op (e3) (e0)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H70 zenon_H5c zenon_H125. % 11.34/11.56 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_He9 | zenon_intro zenon_Hcd ]. % 11.34/11.56 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e2) (e0)) = (op (e3) (e0)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H125. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_He9. % 11.34/11.56 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.56 cut (((op (e3) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H197]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e2) (e0)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H197. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H70. % 11.34/11.56 cut (((e1) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb4]. % 11.34/11.56 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_Hcd. apply refl_equal. % 11.34/11.56 apply zenon_Hb4. apply sym_equal. exact zenon_H5c. % 11.34/11.56 apply zenon_Hcd. apply refl_equal. % 11.34/11.56 apply zenon_Hcd. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L150_ *) % 11.34/11.56 assert (zenon_L151_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H17d zenon_H125 zenon_H70 zenon_Hf3 zenon_H54 zenon_H180 zenon_H68 zenon_H167. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.34/11.56 apply (zenon_L150_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.34/11.56 apply (zenon_L73_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.34/11.56 apply (zenon_L124_); trivial. % 11.34/11.56 apply (zenon_L121_); trivial. % 11.34/11.56 (* end of lemma zenon_L151_ *) % 11.34/11.56 assert (zenon_L152_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.34/11.56 do 0 intro. intros zenon_Ha2 zenon_H1a4 zenon_H68. % 11.34/11.56 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.34/11.56 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H68. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H60. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e0) (e3)) = (e1)) = ((e2) = (e1))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H101. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Ha2. % 11.34/11.56 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.56 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1a5]. % 11.34/11.56 congruence. % 11.34/11.56 exact (zenon_H1a5 zenon_H1a4). % 11.34/11.56 apply zenon_H29. apply refl_equal. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L152_ *) % 11.34/11.56 assert (zenon_L153_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H1a6 zenon_H149 zenon_H140 zenon_H167 zenon_H5c zenon_Ha8 zenon_H157 zenon_H5f zenon_H33 zenon_H104 zenon_H103 zenon_Ha2 zenon_H68. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.34/11.56 apply (zenon_L149_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.34/11.56 apply (zenon_L18_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.34/11.56 apply (zenon_L77_); trivial. % 11.34/11.56 apply (zenon_L152_); trivial. % 11.34/11.56 (* end of lemma zenon_L153_ *) % 11.34/11.56 assert (zenon_L154_ : (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e0)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H82 zenon_Ha9 zenon_Hb5. % 11.34/11.56 cut (((op (e3) (e0)) = (e3)) = ((e0) = (e3))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H82. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Ha9. % 11.34/11.56 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.56 cut (((op (e3) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 11.34/11.56 congruence. % 11.34/11.56 exact (zenon_H1a9 zenon_Hb5). % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L154_ *) % 11.34/11.56 assert (zenon_L155_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H172 zenon_H33 zenon_H1aa. % 11.34/11.56 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e3) (e1)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H172. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H33. % 11.34/11.56 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1ab]. % 11.34/11.56 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H37. apply refl_equal. % 11.34/11.56 apply zenon_H1ab. apply sym_equal. exact zenon_H1aa. % 11.34/11.56 (* end of lemma zenon_L155_ *) % 11.34/11.56 assert (zenon_L156_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H9d zenon_H8a zenon_H1ac. % 11.34/11.56 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (e2)) = (op (e3) (e2)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H9d. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H8a. % 11.34/11.56 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1ad]. % 11.34/11.56 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_Ha0. apply refl_equal. % 11.34/11.56 apply zenon_H1ad. apply sym_equal. exact zenon_H1ac. % 11.34/11.56 (* end of lemma zenon_L156_ *) % 11.34/11.56 assert (zenon_L157_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e0)))) -> ((op (e3) (e3)) = (e0)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H1ae zenon_H16a. % 11.34/11.56 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1af]. % 11.34/11.56 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 exact (zenon_H1af zenon_H16a). % 11.34/11.56 (* end of lemma zenon_L157_ *) % 11.34/11.56 assert (zenon_L158_ : (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e3)) = (e0)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H1b0 zenon_Ha9 zenon_H16a. % 11.34/11.56 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (op (e3) (e3))) = (e3))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1b0. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Ha9. % 11.34/11.56 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.56 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1b1]. % 11.34/11.56 congruence. % 11.34/11.56 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1b3 ]. % 11.34/11.56 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e3))))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1b1. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H1b2. % 11.34/11.56 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1b3]. % 11.34/11.56 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ae]. % 11.34/11.56 congruence. % 11.34/11.56 apply (zenon_L157_); trivial. % 11.34/11.56 apply zenon_H1b3. apply refl_equal. % 11.34/11.56 apply zenon_H1b3. apply refl_equal. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L158_ *) % 11.34/11.56 assert (zenon_L159_ : (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H34 zenon_H3e zenon_H54. % 11.34/11.56 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e0) (e2)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H34. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H3e. % 11.34/11.56 cut (((e1) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1b4]. % 11.34/11.56 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H37. apply refl_equal. % 11.34/11.56 apply zenon_H1b4. apply sym_equal. exact zenon_H54. % 11.34/11.56 (* end of lemma zenon_L159_ *) % 11.34/11.56 assert (zenon_L160_ : ((op (e2) (e3)) = (e3)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H12b zenon_H129 zenon_H1a3. % 11.34/11.56 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H12d | zenon_intro zenon_H12e ]. % 11.34/11.56 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e0) (e3)) = (op (e2) (e3)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1a3. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H12d. % 11.34/11.56 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12e]. % 11.34/11.56 cut (((op (e2) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1b5]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e2) (e3)) = (e3)) = ((op (e2) (e3)) = (op (e0) (e3)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1b5. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H12b. % 11.34/11.56 cut (((e3) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 11.34/11.56 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12e]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H12e. apply refl_equal. % 11.34/11.56 apply zenon_H1b6. apply sym_equal. exact zenon_H129. % 11.34/11.56 apply zenon_H12e. apply refl_equal. % 11.34/11.56 apply zenon_H12e. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L160_ *) % 11.34/11.56 assert (zenon_L161_ : (~((op (e3) (op (e3) (e1))) = (e1))) -> ((op (e3) (e1)) = (e1)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H1b7 zenon_H9a. % 11.34/11.56 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (op (e3) (e1))) = (e1))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1b7. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H9a. % 11.34/11.56 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.56 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1b8]. % 11.34/11.56 congruence. % 11.34/11.56 elim (classic ((op (e3) (op (e3) (e1))) = (op (e3) (op (e3) (e1))))); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H1ba ]. % 11.34/11.56 cut (((op (e3) (op (e3) (e1))) = (op (e3) (op (e3) (e1)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e1))))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1b8. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H1b9. % 11.34/11.56 cut (((op (e3) (op (e3) (e1))) = (op (e3) (op (e3) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1ba]. % 11.34/11.56 cut (((op (e3) (op (e3) (e1))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1bb]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e3) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 11.34/11.56 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 exact (zenon_He3 zenon_H9a). % 11.34/11.56 apply zenon_H1ba. apply refl_equal. % 11.34/11.56 apply zenon_H1ba. apply refl_equal. % 11.34/11.56 apply zenon_H29. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L161_ *) % 11.34/11.56 assert (zenon_L162_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H1bc zenon_H8c. % 11.34/11.56 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_He2. zenon_intro zenon_H1bd. % 11.34/11.56 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_Hc2. zenon_intro zenon_H1be. % 11.34/11.56 apply (zenon_L84_); trivial. % 11.34/11.56 (* end of lemma zenon_L162_ *) % 11.34/11.56 assert (zenon_L163_ : ((op (e3) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H70 zenon_Hed zenon_H68. % 11.34/11.56 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.34/11.56 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H68. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H60. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e3) (e0)) = (e1)) = ((e2) = (e1))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H101. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H70. % 11.34/11.56 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.56 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hee]. % 11.34/11.56 congruence. % 11.34/11.56 exact (zenon_Hee zenon_Hed). % 11.34/11.56 apply zenon_H29. apply refl_equal. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L163_ *) % 11.34/11.56 assert (zenon_L164_ : (~((op (e3) (op (e3) (e2))) = (e2))) -> ((op (e3) (e2)) = (e2)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H1bf zenon_H103. % 11.34/11.56 cut (((op (e3) (e2)) = (e2)) = ((op (e3) (op (e3) (e2))) = (e2))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1bf. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H103. % 11.34/11.56 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1c0]. % 11.34/11.56 congruence. % 11.34/11.56 elim (classic ((op (e3) (op (e3) (e2))) = (op (e3) (op (e3) (e2))))); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c2 ]. % 11.34/11.56 cut (((op (e3) (op (e3) (e2))) = (op (e3) (op (e3) (e2)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e2))))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1c0. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H1c1. % 11.34/11.56 cut (((op (e3) (op (e3) (e2))) = (op (e3) (op (e3) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 11.34/11.56 cut (((op (e3) (op (e3) (e2))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1c3]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e3) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H128]. % 11.34/11.56 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 exact (zenon_H128 zenon_H103). % 11.34/11.56 apply zenon_H1c2. apply refl_equal. % 11.34/11.56 apply zenon_H1c2. apply refl_equal. % 11.34/11.56 apply zenon_H61. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L164_ *) % 11.34/11.56 assert (zenon_L165_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e2)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H1c4 zenon_H11b. % 11.34/11.56 cut (((op (e3) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1c5]. % 11.34/11.56 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 exact (zenon_H1c5 zenon_H11b). % 11.34/11.56 (* end of lemma zenon_L165_ *) % 11.34/11.56 assert (zenon_L166_ : (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e3)) = (e2)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H1b0 zenon_H127 zenon_H11b. % 11.34/11.56 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (op (e3) (e3))) = (e3))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1b0. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H127. % 11.34/11.56 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1c6]. % 11.34/11.56 congruence. % 11.34/11.56 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1b3 ]. % 11.34/11.56 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e3))))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1c6. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H1b2. % 11.34/11.56 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1b3]. % 11.34/11.56 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1c4]. % 11.34/11.56 congruence. % 11.34/11.56 apply (zenon_L165_); trivial. % 11.34/11.56 apply zenon_H1b3. apply refl_equal. % 11.34/11.56 apply zenon_H1b3. apply refl_equal. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L166_ *) % 11.34/11.56 assert (zenon_L167_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H11f zenon_H68 zenon_H70 zenon_H6d zenon_H1bf zenon_H1b0 zenon_H127. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.34/11.56 apply (zenon_L163_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.34/11.56 apply (zenon_L25_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.34/11.56 apply (zenon_L164_); trivial. % 11.34/11.56 apply (zenon_L166_); trivial. % 11.34/11.56 (* end of lemma zenon_L167_ *) % 11.34/11.56 assert (zenon_L168_ : ((op (e3) (e2)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H127 zenon_Hfd zenon_H104. % 11.34/11.56 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ]. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e0) (e2)) = (op (e3) (e2)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H104. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H105. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H107]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e0) (e2)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H107. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H127. % 11.34/11.56 cut (((e3) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1c7]. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H106. apply refl_equal. % 11.34/11.56 apply zenon_H1c7. apply sym_equal. exact zenon_Hfd. % 11.34/11.56 apply zenon_H106. apply refl_equal. % 11.34/11.56 apply zenon_H106. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L168_ *) % 11.34/11.56 assert (zenon_L169_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H1c8 zenon_H1b0 zenon_H1bf zenon_H70 zenon_H68 zenon_H11f zenon_H82 zenon_H33 zenon_H104 zenon_H127 zenon_H12b zenon_H1a3. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.34/11.56 apply (zenon_L167_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.34/11.56 apply (zenon_L58_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.34/11.56 apply (zenon_L168_); trivial. % 11.34/11.56 apply (zenon_L160_); trivial. % 11.34/11.56 (* end of lemma zenon_L169_ *) % 11.34/11.56 assert (zenon_L170_ : (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e1)) -> False). % 11.34/11.56 do 0 intro. intros zenon_Ha8 zenon_H127 zenon_H9e. % 11.34/11.56 cut (((op (e3) (e2)) = (e3)) = ((e1) = (e3))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Ha8. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H127. % 11.34/11.56 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.56 cut (((op (e3) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 11.34/11.56 congruence. % 11.34/11.56 exact (zenon_H1cb zenon_H9e). % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L170_ *) % 11.34/11.56 assert (zenon_L171_ : (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H1cc zenon_H1aa zenon_H16a. % 11.34/11.56 cut (((op (e3) (e1)) = (e0)) = ((op (e3) (e1)) = (op (e3) (e3)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1cc. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H1aa. % 11.34/11.56 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H16b]. % 11.34/11.56 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H174. apply refl_equal. % 11.34/11.56 apply zenon_H16b. apply sym_equal. exact zenon_H16a. % 11.34/11.56 (* end of lemma zenon_L171_ *) % 11.34/11.56 assert (zenon_L172_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H169 zenon_H70 zenon_Ha3. % 11.34/11.56 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e3) (e3)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H169. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H70. % 11.34/11.56 cut (((e1) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 11.34/11.56 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_Hcd. apply refl_equal. % 11.34/11.56 apply zenon_Ha4. apply sym_equal. exact zenon_Ha3. % 11.34/11.56 (* end of lemma zenon_L172_ *) % 11.34/11.56 assert (zenon_L173_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False). % 11.34/11.56 do 0 intro. intros zenon_Hcc zenon_Hed zenon_H6f. % 11.34/11.56 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (e0)) = (op (e3) (e1)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_Hcc. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Hed. % 11.34/11.56 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1cd]. % 11.34/11.56 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_Hcd. apply refl_equal. % 11.34/11.56 apply zenon_H1cd. apply sym_equal. exact zenon_H6f. % 11.34/11.56 (* end of lemma zenon_L173_ *) % 11.34/11.56 assert (zenon_L174_ : ((op (e3) (e2)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H127 zenon_Ha9 zenon_H1ce. % 11.34/11.56 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ]. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (e0)) = (op (e3) (e2)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1ce. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H105. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1cf]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e3) (e0)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1cf. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H127. % 11.34/11.56 cut (((e3) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1d0]. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H106. apply refl_equal. % 11.34/11.56 apply zenon_H1d0. apply sym_equal. exact zenon_Ha9. % 11.34/11.56 apply zenon_H106. apply refl_equal. % 11.34/11.56 apply zenon_H106. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L174_ *) % 11.34/11.56 assert (zenon_L175_ : (((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) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H1d1 zenon_H16a zenon_Ha3 zenon_H169 zenon_H6f zenon_Hcc zenon_H127 zenon_H1ce. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1d2 ]. % 11.34/11.56 apply (zenon_L110_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H70 | zenon_intro zenon_H1d3 ]. % 11.34/11.56 apply (zenon_L172_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_Hed | zenon_intro zenon_Ha9 ]. % 11.34/11.56 apply (zenon_L173_); trivial. % 11.34/11.56 apply (zenon_L174_); trivial. % 11.34/11.56 (* end of lemma zenon_L175_ *) % 11.34/11.56 assert (zenon_L176_ : ((op (e3) (e2)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H127 zenon_He2 zenon_H1d4. % 11.34/11.56 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ]. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (e1)) = (op (e3) (e2)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1d4. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H105. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1d5]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e3) (e1)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1d5. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H127. % 11.34/11.56 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1d6]. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H106. apply refl_equal. % 11.34/11.56 apply zenon_H1d6. apply sym_equal. exact zenon_He2. % 11.34/11.56 apply zenon_H106. apply refl_equal. % 11.34/11.56 apply zenon_H106. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L176_ *) % 11.34/11.56 assert (zenon_L177_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H1d7 zenon_H1cc zenon_H6a zenon_H99 zenon_H1ce zenon_Hcc zenon_H169 zenon_Ha3 zenon_H16a zenon_H1d1 zenon_H127 zenon_H1d4. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1d8 ]. % 11.34/11.56 apply (zenon_L171_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H9a | zenon_intro zenon_H1d9 ]. % 11.34/11.56 apply (zenon_L34_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H6f | zenon_intro zenon_He2 ]. % 11.34/11.56 apply (zenon_L175_); trivial. % 11.34/11.56 apply (zenon_L176_); trivial. % 11.34/11.56 (* end of lemma zenon_L177_ *) % 11.34/11.56 assert (zenon_L178_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((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 (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (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) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H19a zenon_H54 zenon_H34 zenon_H59 zenon_Hd5 zenon_H1d4 zenon_H127 zenon_H1d1 zenon_H169 zenon_Hcc zenon_H1ce zenon_H99 zenon_H1cc zenon_H1d7 zenon_Ha8 zenon_H1c8 zenon_H1b0 zenon_H1bf zenon_H68 zenon_H11f zenon_H82 zenon_H33 zenon_H104 zenon_H12b zenon_H1a3 zenon_Ha5 zenon_H9d zenon_H8a zenon_H172 zenon_H5b zenon_H125 zenon_H1da zenon_H1b7. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.34/11.56 apply (zenon_L159_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.34/11.56 apply (zenon_L112_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.34/11.56 apply (zenon_L141_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.34/11.56 apply (zenon_L155_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.34/11.56 apply (zenon_L156_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.34/11.56 apply (zenon_L169_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.34/11.56 apply (zenon_L161_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.34/11.56 apply (zenon_L170_); trivial. % 11.34/11.56 apply (zenon_L177_); trivial. % 11.34/11.56 apply (zenon_L161_); trivial. % 11.34/11.56 (* end of lemma zenon_L178_ *) % 11.34/11.56 assert (zenon_L179_ : ((op (e3) (e2)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H127 zenon_Hc0 zenon_H9d. % 11.34/11.56 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ]. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e1) (e2)) = (op (e3) (e2)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H9d. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H105. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1dd]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e1) (e2)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1dd. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H127. % 11.34/11.56 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H182]. % 11.34/11.56 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H106. apply refl_equal. % 11.34/11.56 apply zenon_H182. apply sym_equal. exact zenon_Hc0. % 11.34/11.56 apply zenon_H106. apply refl_equal. % 11.34/11.56 apply zenon_H106. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L179_ *) % 11.34/11.56 assert (zenon_L180_ : (((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 (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H114 zenon_H109 zenon_H8d zenon_H59 zenon_H58 zenon_H10d zenon_H65 zenon_H127 zenon_H9d. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H8a | zenon_intro zenon_H115 ]. % 11.34/11.56 apply (zenon_L78_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H55 | zenon_intro zenon_H116 ]. % 11.34/11.56 apply (zenon_L16_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H10c | zenon_intro zenon_Hc0 ]. % 11.34/11.56 apply (zenon_L79_); trivial. % 11.34/11.56 apply (zenon_L179_); trivial. % 11.34/11.56 (* end of lemma zenon_L180_ *) % 11.34/11.56 assert (zenon_L181_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H156 zenon_H68 zenon_H9d zenon_H127 zenon_H10d zenon_H58 zenon_H59 zenon_H109 zenon_H114 zenon_H14f zenon_H8d zenon_H5f. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.34/11.56 apply (zenon_L113_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.34/11.56 apply (zenon_L180_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.34/11.56 apply (zenon_L101_); trivial. % 11.34/11.56 apply (zenon_L102_); trivial. % 11.34/11.56 (* end of lemma zenon_L181_ *) % 11.34/11.56 assert (zenon_L182_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False). % 11.34/11.56 do 0 intro. intros zenon_Ha2 zenon_H54 zenon_H1de. % 11.34/11.56 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H3a | zenon_intro zenon_H3b ]. % 11.34/11.56 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e2)) = (op (e0) (e3)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1de. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H3a. % 11.34/11.56 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.34/11.56 cut (((op (e0) (e3)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1df]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e0) (e2)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1df. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Ha2. % 11.34/11.56 cut (((e1) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1b4]. % 11.34/11.56 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H3b. apply refl_equal. % 11.34/11.56 apply zenon_H1b4. apply sym_equal. exact zenon_H54. % 11.34/11.56 apply zenon_H3b. apply refl_equal. % 11.34/11.56 apply zenon_H3b. apply refl_equal. % 11.34/11.56 (* end of lemma zenon_L182_ *) % 11.34/11.56 assert (zenon_L183_ : (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H1e0 zenon_H6a zenon_H179. % 11.34/11.56 cut (((op (e2) (e1)) = (e1)) = ((op (e2) (e1)) = (op (e2) (e2)))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1e0. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H6a. % 11.34/11.56 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H17a]. % 11.34/11.56 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H9c. apply refl_equal. % 11.34/11.56 apply zenon_H17a. apply sym_equal. exact zenon_H179. % 11.34/11.56 (* end of lemma zenon_L183_ *) % 11.34/11.56 assert (zenon_L184_ : (((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 (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((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 (e3) (op (e3) (e1))) = (e1))) -> False). % 11.34/11.56 do 0 intro. intros zenon_H19a zenon_H39 zenon_Hd5 zenon_H127 zenon_Ha8 zenon_H1e0 zenon_H58 zenon_H59 zenon_Ha2 zenon_H1de zenon_H1e1 zenon_H1b7. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.34/11.56 apply (zenon_L72_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.34/11.56 apply (zenon_L112_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.34/11.56 apply (zenon_L182_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.34/11.56 apply (zenon_L16_); trivial. % 11.34/11.56 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.34/11.56 apply (zenon_L183_); trivial. % 11.34/11.56 apply (zenon_L170_); trivial. % 11.34/11.56 apply (zenon_L161_); trivial. % 11.34/11.56 (* end of lemma zenon_L184_ *) % 11.34/11.56 assert (zenon_L185_ : (~((op (e3) (op (e3) (e0))) = (e0))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.34/11.56 do 0 intro. intros zenon_H1e4 zenon_Hb5. % 11.34/11.56 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (op (e3) (e0))) = (e0))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1e4. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_Hb5. % 11.34/11.56 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.56 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1e5]. % 11.34/11.56 congruence. % 11.34/11.56 elim (classic ((op (e3) (op (e3) (e0))) = (op (e3) (op (e3) (e0))))); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1e7 ]. % 11.34/11.56 cut (((op (e3) (op (e3) (e0))) = (op (e3) (op (e3) (e0)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e0))))). % 11.34/11.56 intro zenon_D_pnotp. % 11.34/11.56 apply zenon_H1e5. % 11.34/11.56 rewrite <- zenon_D_pnotp. % 11.34/11.56 exact zenon_H1e6. % 11.34/11.56 cut (((op (e3) (op (e3) (e0))) = (op (e3) (op (e3) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1e7]. % 11.34/11.56 cut (((op (e3) (op (e3) (e0))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1e8]. % 11.34/11.56 congruence. % 11.34/11.56 cut (((op (e3) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 11.34/11.56 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.56 congruence. % 11.34/11.56 apply zenon_H84. apply refl_equal. % 11.34/11.56 exact (zenon_H1a9 zenon_Hb5). % 11.34/11.56 apply zenon_H1e7. apply refl_equal. % 11.34/11.56 apply zenon_H1e7. apply refl_equal. % 11.34/11.57 apply zenon_H1d. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L185_ *) % 11.34/11.57 assert (zenon_L186_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H1e9 zenon_H132. % 11.34/11.57 cut (((op (e3) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1ea]. % 11.34/11.57 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.57 congruence. % 11.34/11.57 apply zenon_H84. apply refl_equal. % 11.34/11.57 exact (zenon_H1ea zenon_H132). % 11.34/11.57 (* end of lemma zenon_L186_ *) % 11.34/11.57 assert (zenon_L187_ : (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H1b0 zenon_H132. % 11.34/11.57 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (op (e3) (e3))) = (e3))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H1b0. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H132. % 11.34/11.57 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.57 cut (((op (e3) (e3)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1eb]. % 11.34/11.57 congruence. % 11.34/11.57 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1b3 ]. % 11.34/11.57 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e3)) = (op (e3) (op (e3) (e3))))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H1eb. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H1b2. % 11.34/11.57 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1b3]. % 11.34/11.57 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 11.34/11.57 congruence. % 11.34/11.57 apply (zenon_L186_); trivial. % 11.34/11.57 apply zenon_H1b3. apply refl_equal. % 11.34/11.57 apply zenon_H1b3. apply refl_equal. % 11.34/11.57 apply zenon_H84. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L187_ *) % 11.34/11.57 assert (zenon_L188_ : (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H1ec. % 11.34/11.57 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H132. zenon_intro zenon_H1ed. % 11.34/11.57 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H132. zenon_intro zenon_H1be. % 11.34/11.57 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.34/11.57 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.34/11.57 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.34/11.57 apply (zenon_L187_); trivial. % 11.34/11.57 (* end of lemma zenon_L188_ *) % 11.34/11.57 assert (zenon_L189_ : (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H1ec. % 11.34/11.57 apply (zenon_L188_); trivial. % 11.34/11.57 (* end of lemma zenon_L189_ *) % 11.34/11.57 assert (zenon_L190_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3)))))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H1f0 zenon_H135. % 11.34/11.57 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H35. zenon_intro zenon_H1f1. % 11.34/11.57 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H5b. zenon_intro zenon_H27. % 11.34/11.57 apply (zenon_L94_); trivial. % 11.34/11.57 (* end of lemma zenon_L190_ *) % 11.34/11.57 assert (zenon_L191_ : (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e0)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H1de zenon_H35 zenon_H38. % 11.34/11.57 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e0) (e3)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H1de. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H35. % 11.34/11.57 cut (((e0) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1f2]. % 11.34/11.57 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 11.34/11.57 congruence. % 11.34/11.57 apply zenon_H57. apply refl_equal. % 11.34/11.57 apply zenon_H1f2. apply sym_equal. exact zenon_H38. % 11.34/11.57 (* end of lemma zenon_L191_ *) % 11.34/11.57 assert (zenon_L192_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H35 zenon_H1f zenon_H1f3. % 11.34/11.57 elim (classic ((op (e0) (e2)) = (op (e0) (e2)))); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H57 ]. % 11.34/11.57 cut (((op (e0) (e2)) = (op (e0) (e2))) = ((op (e0) (e0)) = (op (e0) (e2)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H1f3. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H1f4. % 11.34/11.57 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 11.34/11.57 cut (((op (e0) (e2)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f5]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e0) (e0)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H1f5. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H35. % 11.34/11.57 cut (((e0) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 11.34/11.57 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 11.34/11.57 congruence. % 11.34/11.57 apply zenon_H57. apply refl_equal. % 11.34/11.57 apply zenon_H52. apply sym_equal. exact zenon_H1f. % 11.34/11.57 apply zenon_H57. apply refl_equal. % 11.34/11.57 apply zenon_H57. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L192_ *) % 11.34/11.57 assert (zenon_L193_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H53 zenon_H35 zenon_H8a. % 11.34/11.57 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e1) (e2)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H53. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H35. % 11.34/11.57 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 11.34/11.57 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 11.34/11.57 congruence. % 11.34/11.57 apply zenon_H57. apply refl_equal. % 11.34/11.57 apply zenon_H10b. apply sym_equal. exact zenon_H8a. % 11.34/11.57 (* end of lemma zenon_L193_ *) % 11.34/11.57 assert (zenon_L194_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3)))))))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H1f6 zenon_Hf3. % 11.34/11.57 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H55. zenon_intro zenon_H1f7. % 11.34/11.57 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H6a. zenon_intro zenon_H4c. % 11.34/11.57 apply (zenon_L73_); trivial. % 11.34/11.57 (* end of lemma zenon_L194_ *) % 11.34/11.57 assert (zenon_L195_ : ((op (e0) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H96 zenon_H6d zenon_Ha8. % 11.34/11.57 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.57 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_Ha8. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H83. % 11.34/11.57 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.57 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hba]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e0) (e0)) = (e1)) = ((e3) = (e1))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_Hba. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H96. % 11.34/11.57 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.57 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 11.34/11.57 congruence. % 11.34/11.57 exact (zenon_H6e zenon_H6d). % 11.34/11.57 apply zenon_H29. apply refl_equal. % 11.34/11.57 apply zenon_H84. apply refl_equal. % 11.34/11.57 apply zenon_H84. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L195_ *) % 11.34/11.57 assert (zenon_L196_ : ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H2b zenon_Hf8 zenon_H5f. % 11.34/11.57 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.34/11.57 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H5f. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H60. % 11.34/11.57 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.57 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e1) (e0)) = (e0)) = ((e2) = (e0))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H62. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H2b. % 11.34/11.57 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.57 cut (((op (e1) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H170]. % 11.34/11.57 congruence. % 11.34/11.57 exact (zenon_H170 zenon_Hf8). % 11.34/11.57 apply zenon_H1d. apply refl_equal. % 11.34/11.57 apply zenon_H61. apply refl_equal. % 11.34/11.57 apply zenon_H61. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L196_ *) % 11.34/11.57 assert (zenon_L197_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H1f8 zenon_H88 zenon_H13b. % 11.34/11.57 cut (((op (e1) (e1)) = (e0)) = ((op (e1) (e1)) = (op (e2) (e1)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H1f8. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H88. % 11.34/11.57 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H171]. % 11.34/11.57 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1f9]. % 11.34/11.57 congruence. % 11.34/11.57 apply zenon_H1f9. apply refl_equal. % 11.34/11.57 apply zenon_H171. apply sym_equal. exact zenon_H13b. % 11.34/11.57 (* end of lemma zenon_L197_ *) % 11.34/11.57 assert (zenon_L198_ : ((op (e2) (e1)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H69 zenon_H5e zenon_Hae. % 11.34/11.57 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_Haf | zenon_intro zenon_H9c ]. % 11.34/11.57 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e0) (e1)) = (op (e2) (e1)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_Hae. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_Haf. % 11.34/11.57 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 11.34/11.57 cut (((op (e2) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hb0]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e0) (e1)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_Hb0. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H69. % 11.34/11.57 cut (((e2) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1fa]. % 11.34/11.57 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 11.34/11.57 congruence. % 11.34/11.57 apply zenon_H9c. apply refl_equal. % 11.34/11.57 apply zenon_H1fa. apply sym_equal. exact zenon_H5e. % 11.34/11.57 apply zenon_H9c. apply refl_equal. % 11.34/11.57 apply zenon_H9c. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L198_ *) % 11.34/11.57 assert (zenon_L199_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> False). % 11.34/11.57 do 0 intro. intros zenon_Hae zenon_Hd3 zenon_Hda. % 11.34/11.57 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (e1)) = (op (e2) (e1)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_Hae. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_Hd3. % 11.34/11.57 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1fb]. % 11.34/11.57 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.34/11.57 congruence. % 11.34/11.57 apply zenon_H37. apply refl_equal. % 11.34/11.57 apply zenon_H1fb. apply sym_equal. exact zenon_Hda. % 11.34/11.57 (* end of lemma zenon_L199_ *) % 11.34/11.57 assert (zenon_L200_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H1fc zenon_H88 zenon_H1f8 zenon_H9a zenon_H99 zenon_H5e zenon_Hae zenon_Hd3. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H13b | zenon_intro zenon_H1fd ]. % 11.34/11.57 apply (zenon_L197_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H6a | zenon_intro zenon_H1fe ]. % 11.34/11.57 apply (zenon_L34_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H69 | zenon_intro zenon_Hda ]. % 11.34/11.57 apply (zenon_L198_); trivial. % 11.34/11.57 apply (zenon_L199_); trivial. % 11.34/11.57 (* end of lemma zenon_L200_ *) % 11.34/11.57 assert (zenon_L201_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H35 zenon_Hfd zenon_H82. % 11.34/11.57 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.57 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H82. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H83. % 11.34/11.57 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.57 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e0) (e2)) = (e0)) = ((e3) = (e0))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H85. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H35. % 11.34/11.57 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.57 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H100]. % 11.34/11.57 congruence. % 11.34/11.57 exact (zenon_H100 zenon_Hfd). % 11.34/11.57 apply zenon_H1d. apply refl_equal. % 11.34/11.57 apply zenon_H84. apply refl_equal. % 11.34/11.57 apply zenon_H84. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L201_ *) % 11.34/11.57 assert (zenon_L202_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H87 zenon_H5e zenon_H65. % 11.34/11.57 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e1) (e1)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H87. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H5e. % 11.34/11.57 cut (((e2) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 11.34/11.57 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.34/11.57 congruence. % 11.34/11.57 apply zenon_H37. apply refl_equal. % 11.34/11.57 apply zenon_H110. apply sym_equal. exact zenon_H65. % 11.34/11.57 (* end of lemma zenon_L202_ *) % 11.34/11.57 assert (zenon_L203_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> False). % 11.34/11.57 do 0 intro. intros zenon_Hce zenon_Hf8 zenon_H11a. % 11.34/11.57 cut (((op (e1) (e0)) = (e2)) = ((op (e1) (e0)) = (op (e1) (e3)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_Hce. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_Hf8. % 11.34/11.57 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H199]. % 11.34/11.57 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 11.34/11.57 congruence. % 11.34/11.57 apply zenon_H5a. apply refl_equal. % 11.34/11.57 apply zenon_H199. apply sym_equal. exact zenon_H11a. % 11.34/11.57 (* end of lemma zenon_L203_ *) % 11.34/11.57 assert (zenon_L204_ : (~((op (op (e0) (e0)) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e1)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H1ff zenon_H96. % 11.34/11.57 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.57 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H200]. % 11.34/11.57 congruence. % 11.34/11.57 exact (zenon_H200 zenon_H96). % 11.34/11.57 apply zenon_H1d. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L204_ *) % 11.34/11.57 assert (zenon_L205_ : ((op (e1) (e3)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((e2) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H11a zenon_H96 zenon_H81 zenon_H71. % 11.34/11.57 elim (classic ((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ]. % 11.34/11.57 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0)))) = ((e2) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H71. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H72. % 11.34/11.57 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 11.34/11.57 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e1) (e3)) = (e2)) = ((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (e2))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H74. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H11a. % 11.34/11.57 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.57 cut (((op (e1) (e3)) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 11.34/11.57 congruence. % 11.34/11.57 elim (classic ((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ]. % 11.34/11.57 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0)))) = ((op (e1) (e3)) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H201. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H72. % 11.34/11.57 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 11.34/11.57 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H202]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H18c]. % 11.34/11.57 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H200]. % 11.34/11.57 congruence. % 11.34/11.57 exact (zenon_H200 zenon_H96). % 11.34/11.57 cut (((op (e1) (e0)) = (e3)) = ((op (op (e0) (e0)) (e0)) = (e3))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H18c. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H81. % 11.34/11.57 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.57 cut (((op (e1) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H203]. % 11.34/11.57 congruence. % 11.34/11.57 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e1) (e0)) = (op (op (e0) (e0)) (e0)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H203. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H79. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ff]. % 11.34/11.57 congruence. % 11.34/11.57 apply (zenon_L204_); trivial. % 11.34/11.57 apply zenon_H7a. apply refl_equal. % 11.34/11.57 apply zenon_H7a. apply refl_equal. % 11.34/11.57 apply zenon_H84. apply refl_equal. % 11.34/11.57 apply zenon_H73. apply refl_equal. % 11.34/11.57 apply zenon_H73. apply refl_equal. % 11.34/11.57 apply zenon_H61. apply refl_equal. % 11.34/11.57 apply zenon_H73. apply refl_equal. % 11.34/11.57 apply zenon_H73. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L205_ *) % 11.34/11.57 assert (zenon_L206_ : ((op (e1) (e3)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H11a zenon_H96 zenon_H81. % 11.34/11.57 apply (zenon_notand_s _ _ ax10); [ zenon_intro zenon_H18e | zenon_intro zenon_H204 ]. % 11.34/11.57 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((e3) = (op (op (e0) (e0)) (e0)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H18e. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H79. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H18c]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e1) (e0)) = (e3)) = ((op (op (e0) (e0)) (e0)) = (e3))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H18c. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H81. % 11.34/11.57 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.57 cut (((op (e1) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H203]. % 11.34/11.57 congruence. % 11.34/11.57 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e1) (e0)) = (op (op (e0) (e0)) (e0)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H203. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H79. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ff]. % 11.34/11.57 congruence. % 11.34/11.57 apply (zenon_L204_); trivial. % 11.34/11.57 apply zenon_H7a. apply refl_equal. % 11.34/11.57 apply zenon_H7a. apply refl_equal. % 11.34/11.57 apply zenon_H84. apply refl_equal. % 11.34/11.57 apply zenon_H7a. apply refl_equal. % 11.34/11.57 apply zenon_H7a. apply refl_equal. % 11.34/11.57 apply (zenon_notand_s _ _ zenon_H204); [ zenon_intro zenon_H205 | zenon_intro zenon_H71 ]. % 11.34/11.57 apply zenon_H205. apply sym_equal. exact zenon_H96. % 11.34/11.57 apply (zenon_L205_); trivial. % 11.34/11.57 (* end of lemma zenon_L206_ *) % 11.34/11.57 assert (zenon_L207_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (op (e1) (e0))) = (e0))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H206 zenon_H2a zenon_H88 zenon_H46 zenon_Hce zenon_H11a zenon_H96. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H2b | zenon_intro zenon_H207 ]. % 11.34/11.57 apply (zenon_L6_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H59 | zenon_intro zenon_H208 ]. % 11.34/11.57 apply (zenon_L46_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H81 ]. % 11.34/11.57 apply (zenon_L203_); trivial. % 11.34/11.57 apply (zenon_L206_); trivial. % 11.34/11.57 (* end of lemma zenon_L207_ *) % 11.34/11.57 assert (zenon_L208_ : (~((e0) = (e2))) -> ((op (e1) (e2)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H5f zenon_H10c zenon_H8a. % 11.34/11.57 cut (((op (e1) (e2)) = (e2)) = ((e0) = (e2))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H5f. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H10c. % 11.34/11.57 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.57 cut (((op (e1) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 11.34/11.57 congruence. % 11.34/11.57 exact (zenon_H209 zenon_H8a). % 11.34/11.57 apply zenon_H61. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L208_ *) % 11.34/11.57 assert (zenon_L209_ : (((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)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H156 zenon_He4 zenon_Hec zenon_H5e zenon_H87 zenon_H8a zenon_H5f zenon_H96 zenon_H81. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.34/11.57 apply (zenon_L74_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.34/11.57 apply (zenon_L202_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.34/11.57 apply (zenon_L208_); trivial. % 11.34/11.57 apply (zenon_L206_); trivial. % 11.34/11.57 (* end of lemma zenon_L209_ *) % 11.34/11.57 assert (zenon_L210_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e1) (op (e1) (e0))) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((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))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> ((op (e1) (e0)) = (e3)) -> False). % 11.34/11.57 do 0 intro. intros zenon_Hc7 zenon_He8 zenon_Hb5 zenon_Hce zenon_H46 zenon_H2a zenon_H206 zenon_H14f zenon_H96 zenon_H5f zenon_H87 zenon_H5e zenon_Hec zenon_He4 zenon_H156 zenon_H8c zenon_H81. % 11.34/11.57 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.34/11.57 apply (zenon_L67_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.34/11.57 apply (zenon_L74_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.34/11.57 apply (zenon_L202_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.34/11.57 apply (zenon_L101_); trivial. % 11.34/11.57 apply (zenon_L207_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.34/11.57 apply (zenon_L209_); trivial. % 11.34/11.57 apply (zenon_L31_); trivial. % 11.34/11.57 (* end of lemma zenon_L210_ *) % 11.34/11.57 assert (zenon_L211_ : ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H69 zenon_Hda zenon_Hfe. % 11.34/11.57 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.57 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_Hfe. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H83. % 11.34/11.57 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.57 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e2) (e1)) = (e2)) = ((e3) = (e2))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_Hff. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H69. % 11.34/11.57 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.57 cut (((op (e2) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H13c]. % 11.34/11.57 congruence. % 11.34/11.57 exact (zenon_H13c zenon_Hda). % 11.34/11.57 apply zenon_H61. apply refl_equal. % 11.34/11.57 apply zenon_H84. apply refl_equal. % 11.34/11.57 apply zenon_H84. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L211_ *) % 11.34/11.57 assert (zenon_L212_ : (((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)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H146 zenon_H125 zenon_Hb5 zenon_H88 zenon_H1f8 zenon_H35 zenon_H180 zenon_H167 zenon_H5f. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.34/11.57 apply (zenon_L141_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.34/11.57 apply (zenon_L197_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.34/11.57 apply (zenon_L123_); trivial. % 11.34/11.57 apply (zenon_L109_); trivial. % 11.34/11.57 (* end of lemma zenon_L212_ *) % 11.34/11.57 assert (zenon_L213_ : ((op (e1) (e2)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H8a zenon_H88 zenon_H10d. % 11.34/11.57 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H10e | zenon_intro zenon_Ha0 ]. % 11.34/11.57 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e1) (e1)) = (op (e1) (e2)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H10d. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H10e. % 11.34/11.57 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 11.34/11.57 cut (((op (e1) (e2)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H10f]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (e2)) = (op (e1) (e1)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H10f. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H8a. % 11.34/11.57 cut (((e0) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H89]. % 11.34/11.57 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 11.34/11.57 congruence. % 11.34/11.57 apply zenon_Ha0. apply refl_equal. % 11.34/11.57 apply zenon_H89. apply sym_equal. exact zenon_H88. % 11.34/11.57 apply zenon_Ha0. apply refl_equal. % 11.34/11.57 apply zenon_Ha0. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L213_ *) % 11.34/11.57 assert (zenon_L214_ : ((op (e3) (e1)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H9a zenon_H44 zenon_H20a. % 11.34/11.57 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H173 | zenon_intro zenon_H174 ]. % 11.34/11.57 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e1) (e1)) = (op (e3) (e1)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H20a. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H173. % 11.34/11.57 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 11.34/11.57 cut (((op (e3) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H20b]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e1) (e1)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H20b. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H9a. % 11.34/11.57 cut (((e1) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 11.34/11.57 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 11.34/11.57 congruence. % 11.34/11.57 apply zenon_H174. apply refl_equal. % 11.34/11.57 apply zenon_H16f. apply sym_equal. exact zenon_H44. % 11.34/11.57 apply zenon_H174. apply refl_equal. % 11.34/11.57 apply zenon_H174. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L214_ *) % 11.34/11.57 assert (zenon_L215_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H20c zenon_Hd3 zenon_Hae zenon_H99 zenon_H1f8 zenon_H1fc zenon_H20a zenon_H9a zenon_H5e zenon_H87 zenon_Hd5 zenon_H81. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H88 | zenon_intro zenon_H20d ]. % 11.34/11.57 apply (zenon_L200_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H44 | zenon_intro zenon_H20e ]. % 11.34/11.57 apply (zenon_L214_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H65 | zenon_intro zenon_Hbc ]. % 11.34/11.57 apply (zenon_L202_); trivial. % 11.34/11.57 apply (zenon_L59_); trivial. % 11.34/11.57 (* end of lemma zenon_L215_ *) % 11.34/11.57 assert (zenon_L216_ : ((op (e3) (e1)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False). % 11.34/11.57 do 0 intro. intros zenon_He2 zenon_Hbc zenon_H20a. % 11.34/11.57 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H173 | zenon_intro zenon_H174 ]. % 11.34/11.57 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e1) (e1)) = (op (e3) (e1)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H20a. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H173. % 11.34/11.57 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 11.34/11.57 cut (((op (e3) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H20b]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e1) (e1)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H20b. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_He2. % 11.34/11.57 cut (((e3) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hd6]. % 11.34/11.57 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 11.34/11.57 congruence. % 11.34/11.57 apply zenon_H174. apply refl_equal. % 11.34/11.57 apply zenon_Hd6. apply sym_equal. exact zenon_Hbc. % 11.34/11.57 apply zenon_H174. apply refl_equal. % 11.34/11.57 apply zenon_H174. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L216_ *) % 11.34/11.57 assert (zenon_L217_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H20c zenon_H13b zenon_H1f8 zenon_H46 zenon_H5e zenon_H87 zenon_He2 zenon_H20a. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H88 | zenon_intro zenon_H20d ]. % 11.34/11.57 apply (zenon_L197_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H44 | zenon_intro zenon_H20e ]. % 11.34/11.57 apply (zenon_L12_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H65 | zenon_intro zenon_Hbc ]. % 11.34/11.57 apply (zenon_L202_); trivial. % 11.34/11.57 apply (zenon_L216_); trivial. % 11.34/11.57 (* end of lemma zenon_L217_ *) % 11.34/11.57 assert (zenon_L218_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (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) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False). % 11.34/11.57 do 0 intro. intros zenon_Hc4 zenon_H20a zenon_H87 zenon_H5e zenon_H1f8 zenon_H13b zenon_H20c zenon_Hd5 zenon_Hae zenon_H99 zenon_H1fc zenon_H9a zenon_H19b zenon_Hbe zenon_H46 zenon_H82 zenon_H8a zenon_H8c. % 11.34/11.57 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.34/11.57 apply (zenon_L215_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.34/11.57 apply (zenon_L59_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.34/11.57 apply (zenon_L95_); trivial. % 11.34/11.57 apply (zenon_L217_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.34/11.57 apply (zenon_L49_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.34/11.57 apply (zenon_L50_); trivial. % 11.34/11.57 apply (zenon_L84_); trivial. % 11.34/11.57 (* end of lemma zenon_L218_ *) % 11.34/11.57 assert (zenon_L219_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False). % 11.34/11.57 do 0 intro. intros zenon_Hcc zenon_Hb5 zenon_H1aa. % 11.34/11.57 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e1)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_Hcc. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_Hb5. % 11.34/11.57 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1ab]. % 11.34/11.57 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.57 congruence. % 11.34/11.57 apply zenon_Hcd. apply refl_equal. % 11.34/11.57 apply zenon_H1ab. apply sym_equal. exact zenon_H1aa. % 11.34/11.57 (* end of lemma zenon_L219_ *) % 11.34/11.57 assert (zenon_L220_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (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) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (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)) = (e0)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H20f zenon_H169 zenon_H167 zenon_H5f zenon_H109 zenon_H39 zenon_H16c zenon_H10d zenon_H8c zenon_H8a zenon_H82 zenon_H46 zenon_Hbe zenon_H19b zenon_H9a zenon_H1fc zenon_H99 zenon_Hae zenon_Hd5 zenon_H20c zenon_H1f8 zenon_H5e zenon_H87 zenon_H20a zenon_Hc4 zenon_Hcc zenon_Hb5. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.34/11.57 apply (zenon_L111_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.34/11.57 apply (zenon_L213_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.34/11.57 apply (zenon_L218_); trivial. % 11.34/11.57 apply (zenon_L219_); trivial. % 11.34/11.57 (* end of lemma zenon_L220_ *) % 11.34/11.57 assert (zenon_L221_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (op (e1) (e1)))) -> ((op (e0) (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)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e0) = (e3))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.34/11.57 do 0 intro. intros zenon_Hc7 zenon_Hf8 zenon_H180 zenon_H35 zenon_H125 zenon_H146 zenon_Hb5 zenon_Hcc zenon_Hc4 zenon_H20a zenon_H87 zenon_H5e zenon_H1f8 zenon_H20c zenon_Hd5 zenon_Hae zenon_H99 zenon_H1fc zenon_H9a zenon_H19b zenon_H46 zenon_H82 zenon_H8c zenon_H10d zenon_H16c zenon_H39 zenon_H109 zenon_H5f zenon_H167 zenon_H169 zenon_H20f zenon_H3f zenon_Hbe. % 11.34/11.57 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.34/11.57 apply (zenon_L196_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.34/11.57 apply (zenon_L212_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.34/11.57 apply (zenon_L220_); trivial. % 11.34/11.57 apply (zenon_L53_); trivial. % 11.34/11.57 (* end of lemma zenon_L221_ *) % 11.34/11.57 assert (zenon_L222_ : (~((op (e2) (op (e2) (e3))) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e3)) = (e0)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H149 zenon_H93 zenon_H144. % 11.34/11.57 cut (((op (e2) (e0)) = (e3)) = ((op (e2) (op (e2) (e3))) = (e3))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H149. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H93. % 11.34/11.57 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.57 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H212]. % 11.34/11.57 congruence. % 11.34/11.57 elim (classic ((op (e2) (op (e2) (e3))) = (op (e2) (op (e2) (e3))))); [ zenon_intro zenon_H14b | zenon_intro zenon_H14c ]. % 11.34/11.57 cut (((op (e2) (op (e2) (e3))) = (op (e2) (op (e2) (e3)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e3))))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H212. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H14b. % 11.34/11.57 cut (((op (e2) (op (e2) (e3))) = (op (e2) (op (e2) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 11.34/11.57 cut (((op (e2) (op (e2) (e3))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H213]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e2) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H214]. % 11.34/11.57 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.57 congruence. % 11.34/11.57 apply zenon_H61. apply refl_equal. % 11.34/11.57 exact (zenon_H214 zenon_H144). % 11.34/11.57 apply zenon_H14c. apply refl_equal. % 11.34/11.57 apply zenon_H14c. apply refl_equal. % 11.34/11.57 apply zenon_H84. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L222_ *) % 11.34/11.57 assert (zenon_L223_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e3)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> ((op (e2) (e0)) = (e3)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H146 zenon_H135 zenon_H82 zenon_Hda zenon_H35 zenon_H180 zenon_H149 zenon_H93. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.34/11.57 apply (zenon_L94_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.34/11.57 apply (zenon_L95_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.34/11.57 apply (zenon_L123_); trivial. % 11.34/11.57 apply (zenon_L222_); trivial. % 11.34/11.57 (* end of lemma zenon_L223_ *) % 11.34/11.57 assert (zenon_L224_ : ((op (e1) (e2)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (~((e3) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))) -> False). % 11.34/11.57 do 0 intro. intros zenon_Hc0 zenon_H96 zenon_Hf8 zenon_Hdb. % 11.34/11.57 elim (classic ((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ]. % 11.34/11.57 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0)))) = ((e3) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_Hdb. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H72. % 11.34/11.57 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 11.34/11.57 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hdc]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e1) (e2)) = (e3)) = ((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (e3))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_Hdc. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_Hc0. % 11.34/11.57 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.57 cut (((op (e1) (e2)) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H215]. % 11.34/11.57 congruence. % 11.34/11.57 elim (classic ((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ]. % 11.34/11.57 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0)))) = ((op (e1) (e2)) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H215. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H72. % 11.34/11.57 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 11.34/11.57 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H216]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H217]. % 11.34/11.57 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H200]. % 11.34/11.57 congruence. % 11.34/11.57 exact (zenon_H200 zenon_H96). % 11.34/11.57 cut (((op (e1) (e0)) = (e2)) = ((op (op (e0) (e0)) (e0)) = (e2))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H217. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_Hf8. % 11.34/11.57 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.57 cut (((op (e1) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H203]. % 11.34/11.57 congruence. % 11.34/11.57 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e1) (e0)) = (op (op (e0) (e0)) (e0)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H203. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H79. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ff]. % 11.34/11.57 congruence. % 11.34/11.57 apply (zenon_L204_); trivial. % 11.34/11.57 apply zenon_H7a. apply refl_equal. % 11.34/11.57 apply zenon_H7a. apply refl_equal. % 11.34/11.57 apply zenon_H61. apply refl_equal. % 11.34/11.57 apply zenon_H73. apply refl_equal. % 11.34/11.57 apply zenon_H73. apply refl_equal. % 11.34/11.57 apply zenon_H84. apply refl_equal. % 11.34/11.57 apply zenon_H73. apply refl_equal. % 11.34/11.57 apply zenon_H73. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L224_ *) % 11.34/11.57 assert (zenon_L225_ : ((op (e1) (e2)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> False). % 11.34/11.57 do 0 intro. intros zenon_Hc0 zenon_H96 zenon_Hf8. % 11.34/11.57 apply (zenon_notand_s _ _ ax8); [ zenon_intro zenon_H219 | zenon_intro zenon_H218 ]. % 11.34/11.57 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((e2) = (op (op (e0) (e0)) (e0)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H219. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H79. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H217]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e1) (e0)) = (e2)) = ((op (op (e0) (e0)) (e0)) = (e2))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H217. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_Hf8. % 11.34/11.57 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.57 cut (((op (e1) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H203]. % 11.34/11.57 congruence. % 11.34/11.57 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e1) (e0)) = (op (op (e0) (e0)) (e0)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H203. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H79. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ff]. % 11.34/11.57 congruence. % 11.34/11.57 apply (zenon_L204_); trivial. % 11.34/11.57 apply zenon_H7a. apply refl_equal. % 11.34/11.57 apply zenon_H7a. apply refl_equal. % 11.34/11.57 apply zenon_H61. apply refl_equal. % 11.34/11.57 apply zenon_H7a. apply refl_equal. % 11.34/11.57 apply zenon_H7a. apply refl_equal. % 11.34/11.57 apply (zenon_notand_s _ _ zenon_H218); [ zenon_intro zenon_H205 | zenon_intro zenon_Hdb ]. % 11.34/11.57 apply zenon_H205. apply sym_equal. exact zenon_H96. % 11.34/11.57 apply (zenon_L224_); trivial. % 11.34/11.57 (* end of lemma zenon_L225_ *) % 11.34/11.57 assert (zenon_L226_ : ((op (e1) (e3)) = (e3)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.34/11.57 do 0 intro. intros zenon_Hc2 zenon_H129 zenon_H117. % 11.34/11.57 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd0 ]. % 11.34/11.57 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e0) (e3)) = (op (e1) (e3)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H117. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_Hcf. % 11.34/11.57 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd0]. % 11.34/11.57 cut (((op (e1) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H21a]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e1) (e3)) = (e3)) = ((op (e1) (e3)) = (op (e0) (e3)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H21a. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_Hc2. % 11.34/11.57 cut (((e3) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 11.34/11.57 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd0]. % 11.34/11.57 congruence. % 11.34/11.57 apply zenon_Hd0. apply refl_equal. % 11.34/11.57 apply zenon_H1b6. apply sym_equal. exact zenon_H129. % 11.34/11.57 apply zenon_Hd0. apply refl_equal. % 11.34/11.57 apply zenon_Hd0. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L226_ *) % 11.34/11.57 assert (zenon_L227_ : ((op (e3) (e0)) = (e3)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False). % 11.34/11.57 do 0 intro. intros zenon_Ha9 zenon_H81 zenon_He8. % 11.34/11.57 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_He9 | zenon_intro zenon_Hcd ]. % 11.34/11.57 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e1) (e0)) = (op (e3) (e0)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_He8. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_He9. % 11.34/11.57 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.57 cut (((op (e3) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e1) (e0)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_Hea. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_Ha9. % 11.34/11.57 cut (((e3) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21b]. % 11.34/11.57 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.57 congruence. % 11.34/11.57 apply zenon_Hcd. apply refl_equal. % 11.34/11.57 apply zenon_H21b. apply sym_equal. exact zenon_H81. % 11.34/11.57 apply zenon_Hcd. apply refl_equal. % 11.34/11.57 apply zenon_Hcd. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L227_ *) % 11.34/11.57 assert (zenon_L228_ : (((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) (op (e1) (e1))) = (e1))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.34/11.57 do 0 intro. intros zenon_Hc4 zenon_He8 zenon_Ha9 zenon_H46 zenon_Hf8 zenon_H96 zenon_Hbe zenon_Ha8. % 11.34/11.57 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.34/11.57 apply (zenon_L227_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.34/11.57 apply (zenon_L49_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.34/11.57 apply (zenon_L225_); trivial. % 11.34/11.57 apply (zenon_L51_); trivial. % 11.34/11.57 (* end of lemma zenon_L228_ *) % 11.34/11.57 assert (zenon_L229_ : (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e2)) = (e0)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H5f zenon_Hf0 zenon_H35. % 11.34/11.57 cut (((op (e0) (e2)) = (e2)) = ((e0) = (e2))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H5f. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_Hf0. % 11.34/11.57 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.57 cut (((op (e0) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H21c]. % 11.34/11.57 congruence. % 11.34/11.57 exact (zenon_H21c zenon_H35). % 11.34/11.57 apply zenon_H61. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L229_ *) % 11.34/11.57 assert (zenon_L230_ : (~((op (op (e1) (e1)) (e1)) = (op (e0) (e1)))) -> ((op (e1) (e1)) = (e0)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H21d zenon_H88. % 11.34/11.57 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.57 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hb8]. % 11.34/11.57 congruence. % 11.34/11.57 exact (zenon_Hb8 zenon_H88). % 11.34/11.57 apply zenon_H29. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L230_ *) % 11.34/11.57 assert (zenon_L231_ : ((op (e0) (e3)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((e2) = (op (op (e1) (e1)) (op (op (e1) (e1)) (e1))))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H1a4 zenon_H88 zenon_Hd3 zenon_H21e. % 11.34/11.57 elim (classic ((op (op (e1) (e1)) (op (op (e1) (e1)) (e1))) = (op (op (e1) (e1)) (op (op (e1) (e1)) (e1))))); [ zenon_intro zenon_H21f | zenon_intro zenon_H220 ]. % 11.34/11.57 cut (((op (op (e1) (e1)) (op (op (e1) (e1)) (e1))) = (op (op (e1) (e1)) (op (op (e1) (e1)) (e1)))) = ((e2) = (op (op (e1) (e1)) (op (op (e1) (e1)) (e1))))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H21e. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H21f. % 11.34/11.57 cut (((op (op (e1) (e1)) (op (op (e1) (e1)) (e1))) = (op (op (e1) (e1)) (op (op (e1) (e1)) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H220]. % 11.34/11.57 cut (((op (op (e1) (e1)) (op (op (e1) (e1)) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H221]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e0) (e3)) = (e2)) = ((op (op (e1) (e1)) (op (op (e1) (e1)) (e1))) = (e2))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H221. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H1a4. % 11.34/11.57 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.57 cut (((op (e0) (e3)) = (op (op (e1) (e1)) (op (op (e1) (e1)) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H222]. % 11.34/11.57 congruence. % 11.34/11.57 elim (classic ((op (op (e1) (e1)) (op (op (e1) (e1)) (e1))) = (op (op (e1) (e1)) (op (op (e1) (e1)) (e1))))); [ zenon_intro zenon_H21f | zenon_intro zenon_H220 ]. % 11.34/11.57 cut (((op (op (e1) (e1)) (op (op (e1) (e1)) (e1))) = (op (op (e1) (e1)) (op (op (e1) (e1)) (e1)))) = ((op (e0) (e3)) = (op (op (e1) (e1)) (op (op (e1) (e1)) (e1))))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H222. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H21f. % 11.34/11.57 cut (((op (op (e1) (e1)) (op (op (e1) (e1)) (e1))) = (op (op (e1) (e1)) (op (op (e1) (e1)) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H220]. % 11.34/11.57 cut (((op (op (e1) (e1)) (op (op (e1) (e1)) (e1))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H223]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (op (e1) (e1)) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H224]. % 11.34/11.57 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hb8]. % 11.34/11.57 congruence. % 11.34/11.57 exact (zenon_Hb8 zenon_H88). % 11.34/11.57 cut (((op (e0) (e1)) = (e3)) = ((op (op (e1) (e1)) (e1)) = (e3))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H224. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_Hd3. % 11.34/11.57 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.57 cut (((op (e0) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H225]. % 11.34/11.57 congruence. % 11.34/11.57 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H226 | zenon_intro zenon_H227 ]. % 11.34/11.57 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((op (e0) (e1)) = (op (op (e1) (e1)) (e1)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H225. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H226. % 11.34/11.57 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H227]. % 11.34/11.57 cut (((op (op (e1) (e1)) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21d]. % 11.34/11.57 congruence. % 11.34/11.57 apply (zenon_L230_); trivial. % 11.34/11.57 apply zenon_H227. apply refl_equal. % 11.34/11.57 apply zenon_H227. apply refl_equal. % 11.34/11.57 apply zenon_H84. apply refl_equal. % 11.34/11.57 apply zenon_H220. apply refl_equal. % 11.34/11.57 apply zenon_H220. apply refl_equal. % 11.34/11.57 apply zenon_H61. apply refl_equal. % 11.34/11.57 apply zenon_H220. apply refl_equal. % 11.34/11.57 apply zenon_H220. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L231_ *) % 11.34/11.57 assert (zenon_L232_ : ((op (e0) (e3)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H1a4 zenon_H88 zenon_Hd3. % 11.34/11.57 apply (zenon_notand_s _ _ ax16); [ zenon_intro zenon_H229 | zenon_intro zenon_H228 ]. % 11.34/11.57 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H226 | zenon_intro zenon_H227 ]. % 11.34/11.57 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((e3) = (op (op (e1) (e1)) (e1)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H229. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H226. % 11.34/11.57 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H227]. % 11.34/11.57 cut (((op (op (e1) (e1)) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H224]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e0) (e1)) = (e3)) = ((op (op (e1) (e1)) (e1)) = (e3))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H224. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_Hd3. % 11.34/11.57 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.57 cut (((op (e0) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H225]. % 11.34/11.57 congruence. % 11.34/11.57 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H226 | zenon_intro zenon_H227 ]. % 11.34/11.57 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((op (e0) (e1)) = (op (op (e1) (e1)) (e1)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H225. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H226. % 11.34/11.57 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H227]. % 11.34/11.57 cut (((op (op (e1) (e1)) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21d]. % 11.34/11.57 congruence. % 11.34/11.57 apply (zenon_L230_); trivial. % 11.34/11.57 apply zenon_H227. apply refl_equal. % 11.34/11.57 apply zenon_H227. apply refl_equal. % 11.34/11.57 apply zenon_H84. apply refl_equal. % 11.34/11.57 apply zenon_H227. apply refl_equal. % 11.34/11.57 apply zenon_H227. apply refl_equal. % 11.34/11.57 apply (zenon_notand_s _ _ zenon_H228); [ zenon_intro zenon_H89 | zenon_intro zenon_H21e ]. % 11.34/11.57 apply zenon_H89. apply sym_equal. exact zenon_H88. % 11.34/11.57 apply (zenon_L231_); trivial. % 11.34/11.57 (* end of lemma zenon_L232_ *) % 11.34/11.57 assert (zenon_L233_ : ((op (e0) (e3)) = (e2)) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H1a4 zenon_H129 zenon_Hfe. % 11.34/11.57 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.57 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_Hfe. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H83. % 11.34/11.57 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.57 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e0) (e3)) = (e2)) = ((e3) = (e2))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_Hff. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H1a4. % 11.34/11.57 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.57 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 11.34/11.57 congruence. % 11.34/11.57 exact (zenon_H12a zenon_H129). % 11.34/11.57 apply zenon_H61. apply refl_equal. % 11.34/11.57 apply zenon_H84. apply refl_equal. % 11.34/11.57 apply zenon_H84. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L233_ *) % 11.34/11.57 assert (zenon_L234_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (op (e1) (e0))) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H1c8 zenon_Ha8 zenon_H96 zenon_Hbe zenon_H3f zenon_H53 zenon_H2a zenon_Hc7 zenon_H82 zenon_H35 zenon_H1a4 zenon_Hfe. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.34/11.57 apply (zenon_L195_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.34/11.57 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.34/11.57 apply (zenon_L6_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.34/11.57 apply (zenon_L232_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.34/11.57 apply (zenon_L193_); trivial. % 11.34/11.57 apply (zenon_L53_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.34/11.57 apply (zenon_L201_); trivial. % 11.34/11.57 apply (zenon_L233_); trivial. % 11.34/11.57 (* end of lemma zenon_L234_ *) % 11.34/11.57 assert (zenon_L235_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H35 zenon_H54 zenon_H3f. % 11.34/11.57 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H40 | zenon_intro zenon_H29 ]. % 11.34/11.57 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H3f. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H40. % 11.34/11.57 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.57 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e0) (e2)) = (e0)) = ((e1) = (e0))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H41. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H35. % 11.34/11.57 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.57 cut (((op (e0) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 11.34/11.57 congruence. % 11.34/11.57 exact (zenon_Hf1 zenon_H54). % 11.34/11.57 apply zenon_H1d. apply refl_equal. % 11.34/11.57 apply zenon_H29. apply refl_equal. % 11.34/11.57 apply zenon_H29. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L235_ *) % 11.34/11.57 assert (zenon_L236_ : (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> False). % 11.34/11.57 do 0 intro. intros zenon_Hb2 zenon_Hec zenon_H69. % 11.34/11.57 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e2) (e1)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_Hb2. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_Hec. % 11.34/11.57 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H22a]. % 11.34/11.57 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 11.34/11.57 congruence. % 11.34/11.57 apply zenon_Hfa. apply refl_equal. % 11.34/11.57 apply zenon_H22a. apply sym_equal. exact zenon_H69. % 11.34/11.57 (* end of lemma zenon_L236_ *) % 11.34/11.57 assert (zenon_L237_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3)))))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H15c zenon_Hb2 zenon_Hec. % 11.34/11.57 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H69. zenon_intro zenon_H15d. % 11.34/11.57 apply (zenon_L236_); trivial. % 11.34/11.57 (* end of lemma zenon_L237_ *) % 11.34/11.57 assert (zenon_L238_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e1)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H22b zenon_H179. % 11.34/11.57 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22c]. % 11.34/11.57 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.57 congruence. % 11.34/11.57 apply zenon_H61. apply refl_equal. % 11.34/11.57 exact (zenon_H22c zenon_H179). % 11.34/11.57 (* end of lemma zenon_L238_ *) % 11.34/11.57 assert (zenon_L239_ : (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H140 zenon_H69 zenon_H179. % 11.34/11.57 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (op (e2) (e2))) = (e2))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H140. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H69. % 11.34/11.57 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.57 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H22d]. % 11.34/11.57 congruence. % 11.34/11.57 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H142 | zenon_intro zenon_H143 ]. % 11.34/11.57 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e2))))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H22d. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H142. % 11.34/11.57 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H143]. % 11.34/11.57 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H22b]. % 11.34/11.57 congruence. % 11.34/11.57 apply (zenon_L238_); trivial. % 11.34/11.57 apply zenon_H143. apply refl_equal. % 11.34/11.57 apply zenon_H143. apply refl_equal. % 11.34/11.57 apply zenon_H61. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L239_ *) % 11.34/11.57 assert (zenon_L240_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e2)) = (e3)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H22e zenon_H93 zenon_H112. % 11.34/11.57 cut (((op (e2) (e0)) = (e3)) = ((op (e2) (e0)) = (op (e2) (e2)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H22e. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H93. % 11.34/11.57 cut (((e3) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H113]. % 11.34/11.57 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 11.34/11.57 congruence. % 11.34/11.57 apply zenon_Hfa. apply refl_equal. % 11.34/11.57 apply zenon_H113. apply sym_equal. exact zenon_H112. % 11.34/11.57 (* end of lemma zenon_L240_ *) % 11.34/11.57 assert (zenon_L241_ : (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e2)) -> False). % 11.34/11.57 do 0 intro. intros zenon_Hfe zenon_Ha9 zenon_Hed. % 11.34/11.57 cut (((op (e3) (e0)) = (e3)) = ((e2) = (e3))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_Hfe. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_Ha9. % 11.34/11.57 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.57 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hee]. % 11.34/11.57 congruence. % 11.34/11.57 exact (zenon_Hee zenon_Hed). % 11.34/11.57 apply zenon_H84. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L241_ *) % 11.34/11.57 assert (zenon_L242_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H3e zenon_H5e zenon_H68. % 11.34/11.57 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.34/11.57 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H68. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H60. % 11.34/11.57 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.57 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e0) (e1)) = (e1)) = ((e2) = (e1))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H101. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H3e. % 11.34/11.57 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.57 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 11.34/11.57 congruence. % 11.34/11.57 exact (zenon_H63 zenon_H5e). % 11.34/11.57 apply zenon_H29. apply refl_equal. % 11.34/11.57 apply zenon_H61. apply refl_equal. % 11.34/11.57 apply zenon_H61. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L242_ *) % 11.34/11.57 assert (zenon_L243_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H3e zenon_Hd3 zenon_Ha8. % 11.34/11.57 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.57 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_Ha8. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H83. % 11.34/11.57 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.57 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hba]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e0) (e1)) = (e1)) = ((e3) = (e1))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_Hba. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H3e. % 11.34/11.57 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.57 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 11.34/11.57 congruence. % 11.34/11.57 exact (zenon_Hd4 zenon_Hd3). % 11.34/11.57 apply zenon_H29. apply refl_equal. % 11.34/11.57 apply zenon_H84. apply refl_equal. % 11.34/11.57 apply zenon_H84. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L243_ *) % 11.34/11.57 assert (zenon_L244_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H1a6 zenon_Hd9 zenon_H68 zenon_H53 zenon_H10c zenon_H1c8 zenon_H96 zenon_Ha8 zenon_H3e zenon_H82 zenon_H35 zenon_Hfe. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.34/11.57 exact (zenon_Hd9 zenon_Hd8). % 11.34/11.57 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.34/11.57 apply (zenon_L242_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.34/11.57 apply (zenon_L92_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.34/11.57 apply (zenon_L195_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.34/11.57 apply (zenon_L243_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.34/11.57 apply (zenon_L201_); trivial. % 11.34/11.57 apply (zenon_L233_); trivial. % 11.34/11.57 (* end of lemma zenon_L244_ *) % 11.34/11.57 assert (zenon_L245_ : (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H68 zenon_H10c zenon_H55. % 11.34/11.57 cut (((op (e1) (e2)) = (e2)) = ((e1) = (e2))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H68. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H10c. % 11.34/11.57 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.57 cut (((op (e1) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 11.34/11.57 congruence. % 11.34/11.57 exact (zenon_H8b zenon_H55). % 11.34/11.57 apply zenon_H61. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L245_ *) % 11.34/11.57 assert (zenon_L246_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3)))))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H15c zenon_H68 zenon_H55. % 11.34/11.57 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H69. zenon_intro zenon_H15d. % 11.34/11.57 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H10c. zenon_intro zenon_H15e. % 11.34/11.57 apply (zenon_L245_); trivial. % 11.34/11.57 (* end of lemma zenon_L246_ *) % 11.34/11.57 assert (zenon_L247_ : ((op (e3) (e2)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H9e zenon_H6d zenon_Hed zenon_H188. % 11.34/11.57 elim (classic ((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ]. % 11.34/11.57 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0)))) = ((e1) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H188. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H72. % 11.34/11.57 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 11.34/11.57 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H189]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e3) (e2)) = (e1)) = ((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (e1))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H189. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H9e. % 11.34/11.57 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.57 cut (((op (e3) (e2)) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H22f]. % 11.34/11.57 congruence. % 11.34/11.57 elim (classic ((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ]. % 11.34/11.57 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0)))) = ((op (e3) (e2)) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H22f. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H72. % 11.34/11.57 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (op (e0) (e0)) (op (op (e0) (e0)) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 11.34/11.57 cut (((op (op (e0) (e0)) (op (op (e0) (e0)) (e0))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H230]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H217]. % 11.34/11.57 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 11.34/11.57 congruence. % 11.34/11.57 exact (zenon_H6e zenon_H6d). % 11.34/11.57 cut (((op (e3) (e0)) = (e2)) = ((op (op (e0) (e0)) (e0)) = (e2))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H217. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_Hed. % 11.34/11.57 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.57 cut (((op (e3) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H78]. % 11.34/11.57 congruence. % 11.34/11.57 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e3) (e0)) = (op (op (e0) (e0)) (e0)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H78. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H79. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H6c]. % 11.34/11.57 congruence. % 11.34/11.57 apply (zenon_L23_); trivial. % 11.34/11.57 apply zenon_H7a. apply refl_equal. % 11.34/11.57 apply zenon_H7a. apply refl_equal. % 11.34/11.57 apply zenon_H61. apply refl_equal. % 11.34/11.57 apply zenon_H73. apply refl_equal. % 11.34/11.57 apply zenon_H73. apply refl_equal. % 11.34/11.57 apply zenon_H29. apply refl_equal. % 11.34/11.57 apply zenon_H73. apply refl_equal. % 11.34/11.57 apply zenon_H73. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L247_ *) % 11.34/11.57 assert (zenon_L248_ : ((op (e3) (e2)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e0)) = (e2)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H9e zenon_H6d zenon_Hed. % 11.34/11.57 apply (zenon_notand_s _ _ ax9); [ zenon_intro zenon_H219 | zenon_intro zenon_H231 ]. % 11.34/11.57 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((e2) = (op (op (e0) (e0)) (e0)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H219. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H79. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H217]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e3) (e0)) = (e2)) = ((op (op (e0) (e0)) (e0)) = (e2))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H217. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_Hed. % 11.34/11.57 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.57 cut (((op (e3) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H78]. % 11.34/11.57 congruence. % 11.34/11.57 elim (classic ((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0))) = ((op (e3) (e0)) = (op (op (e0) (e0)) (e0)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H78. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H79. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (op (e0) (e0)) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 11.34/11.57 cut (((op (op (e0) (e0)) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H6c]. % 11.34/11.57 congruence. % 11.34/11.57 apply (zenon_L23_); trivial. % 11.34/11.57 apply zenon_H7a. apply refl_equal. % 11.34/11.57 apply zenon_H7a. apply refl_equal. % 11.34/11.57 apply zenon_H61. apply refl_equal. % 11.34/11.57 apply zenon_H7a. apply refl_equal. % 11.34/11.57 apply zenon_H7a. apply refl_equal. % 11.34/11.57 apply (zenon_notand_s _ _ zenon_H231); [ zenon_intro zenon_H7d | zenon_intro zenon_H188 ]. % 11.34/11.57 apply zenon_H7d. apply sym_equal. exact zenon_H6d. % 11.34/11.57 apply (zenon_L247_); trivial. % 11.34/11.57 (* end of lemma zenon_L248_ *) % 11.34/11.57 assert (zenon_L249_ : (((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)) = (e0)) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H1a6 zenon_Hd9 zenon_H68 zenon_H3e zenon_H35 zenon_H5f zenon_H129 zenon_Hfe. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.34/11.57 exact (zenon_Hd9 zenon_Hd8). % 11.34/11.57 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.34/11.57 apply (zenon_L242_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.34/11.57 apply (zenon_L229_); trivial. % 11.34/11.57 apply (zenon_L233_); trivial. % 11.34/11.57 (* end of lemma zenon_L249_ *) % 11.34/11.57 assert (zenon_L250_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e3)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H18f zenon_H135 zenon_H125 zenon_H70 zenon_H69 zenon_Hb2 zenon_H17b zenon_Hd8. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H5b | zenon_intro zenon_H190 ]. % 11.34/11.57 apply (zenon_L94_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H5c | zenon_intro zenon_H191 ]. % 11.34/11.57 apply (zenon_L150_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hec | zenon_intro zenon_H93 ]. % 11.34/11.57 apply (zenon_L236_); trivial. % 11.34/11.57 apply (zenon_L131_); trivial. % 11.34/11.57 (* end of lemma zenon_L250_ *) % 11.34/11.57 assert (zenon_L251_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e2)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H17d zenon_Hf3 zenon_H140 zenon_H18f zenon_H135 zenon_H125 zenon_H70 zenon_H69 zenon_Hb2 zenon_Hd8. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.34/11.57 apply (zenon_L150_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.34/11.57 apply (zenon_L73_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.34/11.57 apply (zenon_L239_); trivial. % 11.34/11.57 apply (zenon_L250_); trivial. % 11.34/11.57 (* end of lemma zenon_L251_ *) % 11.34/11.57 assert (zenon_L252_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H1a0 zenon_H125 zenon_H135 zenon_H18f zenon_H140 zenon_Hf3 zenon_H17d zenon_H5f zenon_H2b zenon_H69 zenon_Hb2 zenon_H70 zenon_H68. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.34/11.57 apply (zenon_L251_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.34/11.57 apply (zenon_L196_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.34/11.57 apply (zenon_L236_); trivial. % 11.34/11.57 apply (zenon_L163_); trivial. % 11.34/11.57 (* end of lemma zenon_L252_ *) % 11.34/11.57 assert (zenon_L253_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H1a6 zenon_Hd9 zenon_Hae zenon_H69 zenon_H53 zenon_H10c zenon_Ha2 zenon_H68. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.34/11.57 exact (zenon_Hd9 zenon_Hd8). % 11.34/11.57 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.34/11.57 apply (zenon_L198_); trivial. % 11.34/11.57 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.34/11.57 apply (zenon_L92_); trivial. % 11.34/11.57 apply (zenon_L152_); trivial. % 11.34/11.57 (* end of lemma zenon_L253_ *) % 11.34/11.57 assert (zenon_L254_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H54 zenon_H96 zenon_H1f3. % 11.34/11.57 elim (classic ((op (e0) (e2)) = (op (e0) (e2)))); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H57 ]. % 11.34/11.57 cut (((op (e0) (e2)) = (op (e0) (e2))) = ((op (e0) (e0)) = (op (e0) (e2)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H1f3. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H1f4. % 11.34/11.57 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 11.34/11.57 cut (((op (e0) (e2)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f5]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e0) (e0)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H1f5. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H54. % 11.34/11.57 cut (((e1) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H205]. % 11.34/11.57 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 11.34/11.57 congruence. % 11.34/11.57 apply zenon_H57. apply refl_equal. % 11.34/11.57 apply zenon_H205. apply sym_equal. exact zenon_H96. % 11.34/11.57 apply zenon_H57. apply refl_equal. % 11.34/11.57 apply zenon_H57. apply refl_equal. % 11.34/11.57 (* end of lemma zenon_L254_ *) % 11.34/11.57 assert (zenon_L255_ : (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False). % 11.34/11.57 do 0 intro. intros zenon_H99 zenon_H69 zenon_H6f. % 11.34/11.57 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e3) (e1)))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H99. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H69. % 11.34/11.57 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1cd]. % 11.34/11.57 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 11.34/11.57 congruence. % 11.34/11.57 apply zenon_H9c. apply refl_equal. % 11.34/11.57 apply zenon_H1cd. apply sym_equal. exact zenon_H6f. % 11.34/11.57 (* end of lemma zenon_L255_ *) % 11.34/11.57 assert (zenon_L256_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.34/11.57 do 0 intro. intros zenon_H8d zenon_Hc2 zenon_H82. % 11.34/11.57 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.57 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.34/11.57 intro zenon_D_pnotp. % 11.34/11.57 apply zenon_H82. % 11.34/11.57 rewrite <- zenon_D_pnotp. % 11.34/11.57 exact zenon_H83. % 11.34/11.57 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.57 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 11.34/11.57 congruence. % 11.34/11.57 cut (((op (e1) (e3)) = (e0)) = ((e3) = (e0))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H85. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H8d. % 11.34/11.58 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.58 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 11.34/11.58 congruence. % 11.34/11.58 exact (zenon_Hc3 zenon_Hc2). % 11.34/11.58 apply zenon_H1d. apply refl_equal. % 11.34/11.58 apply zenon_H84. apply refl_equal. % 11.34/11.58 apply zenon_H84. apply refl_equal. % 11.34/11.58 (* end of lemma zenon_L256_ *) % 11.34/11.58 assert (zenon_L257_ : (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H1cc zenon_He2 zenon_H132. % 11.34/11.58 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e3) (e3)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H1cc. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_He2. % 11.34/11.58 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H133]. % 11.34/11.58 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H174. apply refl_equal. % 11.34/11.58 apply zenon_H133. apply sym_equal. exact zenon_H132. % 11.34/11.58 (* end of lemma zenon_L257_ *) % 11.34/11.58 assert (zenon_L258_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H232 zenon_Hfe zenon_H1a4 zenon_H82 zenon_H8d zenon_H149 zenon_H1cc zenon_He2. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H129 | zenon_intro zenon_H233 ]. % 11.34/11.58 apply (zenon_L233_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H234 ]. % 11.34/11.58 apply (zenon_L256_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H12b | zenon_intro zenon_H132 ]. % 11.34/11.58 apply (zenon_L100_); trivial. % 11.34/11.58 apply (zenon_L257_); trivial. % 11.34/11.58 (* end of lemma zenon_L258_ *) % 11.34/11.58 assert (zenon_L259_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H1d4 zenon_H9a zenon_H9e. % 11.34/11.58 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e3) (e2)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H1d4. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H9a. % 11.34/11.58 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9f]. % 11.34/11.58 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H174. apply refl_equal. % 11.34/11.58 apply zenon_H9f. apply sym_equal. exact zenon_H9e. % 11.34/11.58 (* end of lemma zenon_L259_ *) % 11.34/11.58 assert (zenon_L260_ : (((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 (e3) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H1d7 zenon_Hb5 zenon_Hcc zenon_H9e zenon_H1d4 zenon_H69 zenon_H99 zenon_H1cc zenon_H132. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1d8 ]. % 11.34/11.58 apply (zenon_L219_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H9a | zenon_intro zenon_H1d9 ]. % 11.34/11.58 apply (zenon_L259_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H6f | zenon_intro zenon_He2 ]. % 11.34/11.58 apply (zenon_L255_); trivial. % 11.34/11.58 apply (zenon_L257_); trivial. % 11.34/11.58 (* end of lemma zenon_L260_ *) % 11.34/11.58 assert (zenon_L261_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False). % 11.34/11.58 do 0 intro. intros zenon_Ha1 zenon_H1a4 zenon_H11b. % 11.34/11.58 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (e3)) = (op (e3) (e3)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_Ha1. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H1a4. % 11.34/11.58 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11c]. % 11.34/11.58 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H3b. apply refl_equal. % 11.34/11.58 apply zenon_H11c. apply sym_equal. exact zenon_H11b. % 11.34/11.58 (* end of lemma zenon_L261_ *) % 11.34/11.58 assert (zenon_L262_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H232 zenon_Hfe zenon_H1a4 zenon_H82 zenon_H8d zenon_H149 zenon_H131 zenon_H127. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H129 | zenon_intro zenon_H233 ]. % 11.34/11.58 apply (zenon_L233_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H234 ]. % 11.34/11.58 apply (zenon_L256_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H12b | zenon_intro zenon_H132 ]. % 11.34/11.58 apply (zenon_L100_); trivial. % 11.34/11.58 apply (zenon_L91_); trivial. % 11.34/11.58 (* end of lemma zenon_L262_ *) % 11.34/11.58 assert (zenon_L263_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H87 zenon_H3e zenon_H44. % 11.34/11.58 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e1) (e1)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H87. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H3e. % 11.34/11.58 cut (((e1) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 11.34/11.58 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H37. apply refl_equal. % 11.34/11.58 apply zenon_H16f. apply sym_equal. exact zenon_H44. % 11.34/11.58 (* end of lemma zenon_L263_ *) % 11.34/11.58 assert (zenon_L264_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> ((op (e0) (e3)) = (e2)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.34/11.58 do 0 intro. intros zenon_Hc7 zenon_H82 zenon_H81 zenon_Hd3 zenon_H1a4 zenon_H35 zenon_H53 zenon_H3f zenon_Hbe. % 11.34/11.58 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.34/11.58 apply (zenon_L27_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.34/11.58 apply (zenon_L232_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.34/11.58 apply (zenon_L193_); trivial. % 11.34/11.58 apply (zenon_L53_); trivial. % 11.34/11.58 (* end of lemma zenon_L264_ *) % 11.34/11.58 assert (zenon_L265_ : (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H109 zenon_H55 zenon_Hbe. % 11.34/11.58 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e1) (e3)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H109. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H55. % 11.34/11.58 cut (((e1) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H118]. % 11.34/11.58 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_Ha0. apply refl_equal. % 11.34/11.58 apply zenon_H118. apply sym_equal. exact zenon_Hbe. % 11.34/11.58 (* end of lemma zenon_L265_ *) % 11.34/11.58 assert (zenon_L266_ : ((op (e3) (e0)) = (e3)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> False). % 11.34/11.58 do 0 intro. intros zenon_Ha9 zenon_H6d zenon_H95. % 11.34/11.58 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_He9 | zenon_intro zenon_Hcd ]. % 11.34/11.58 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e0) (e0)) = (op (e3) (e0)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H95. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_He9. % 11.34/11.58 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.58 cut (((op (e3) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H235]. % 11.34/11.58 congruence. % 11.34/11.58 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e0) (e0)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H235. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_Ha9. % 11.34/11.58 cut (((e3) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 11.34/11.58 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_Hcd. apply refl_equal. % 11.34/11.58 apply zenon_H7d. apply sym_equal. exact zenon_H6d. % 11.34/11.58 apply zenon_Hcd. apply refl_equal. % 11.34/11.58 apply zenon_Hcd. apply refl_equal. % 11.34/11.58 (* end of lemma zenon_L266_ *) % 11.34/11.58 assert (zenon_L267_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (op (e2) (e2))) = (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 (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> (((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 (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H1e1 zenon_H3f zenon_H35 zenon_Hbe zenon_H109 zenon_H140 zenon_H236 zenon_H95 zenon_H6d zenon_H20a zenon_Hbc zenon_Ha8 zenon_H1d7 zenon_Hb5 zenon_Hcc zenon_H1d4 zenon_H69 zenon_H99 zenon_H1cc. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.34/11.58 apply (zenon_L235_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.34/11.58 apply (zenon_L265_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.34/11.58 apply (zenon_L239_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H237 ]. % 11.34/11.58 apply (zenon_L266_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_He2 | zenon_intro zenon_H238 ]. % 11.34/11.58 apply (zenon_L216_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H127 | zenon_intro zenon_H132 ]. % 11.34/11.58 apply (zenon_L170_); trivial. % 11.34/11.58 apply (zenon_L260_); trivial. % 11.34/11.58 (* end of lemma zenon_L267_ *) % 11.34/11.58 assert (zenon_L268_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H232 zenon_Hfe zenon_H1a4 zenon_Ha8 zenon_Hbe zenon_H149 zenon_H1cc zenon_He2. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H129 | zenon_intro zenon_H233 ]. % 11.34/11.58 apply (zenon_L233_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H234 ]. % 11.34/11.58 apply (zenon_L51_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H12b | zenon_intro zenon_H132 ]. % 11.34/11.58 apply (zenon_L100_); trivial. % 11.34/11.58 apply (zenon_L257_); trivial. % 11.34/11.58 (* end of lemma zenon_L268_ *) % 11.34/11.58 assert (zenon_L269_ : ((op (e2) (e3)) = (e0)) -> ((op (e2) (e3)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H144 zenon_H12b zenon_H82. % 11.34/11.58 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.58 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H82. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H83. % 11.34/11.58 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.58 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 11.34/11.58 congruence. % 11.34/11.58 cut (((op (e2) (e3)) = (e0)) = ((e3) = (e0))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H85. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H144. % 11.34/11.58 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.58 cut (((op (e2) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 11.34/11.58 congruence. % 11.34/11.58 exact (zenon_H14e zenon_H12b). % 11.34/11.58 apply zenon_H1d. apply refl_equal. % 11.34/11.58 apply zenon_H84. apply refl_equal. % 11.34/11.58 apply zenon_H84. apply refl_equal. % 11.34/11.58 (* end of lemma zenon_L269_ *) % 11.34/11.58 assert (zenon_L270_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H157 zenon_H149 zenon_Hfe zenon_H69 zenon_Hc0 zenon_H111 zenon_H144 zenon_H82. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.34/11.58 apply (zenon_L222_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.34/11.58 apply (zenon_L211_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.34/11.58 apply (zenon_L80_); trivial. % 11.34/11.58 apply (zenon_L269_); trivial. % 11.34/11.58 (* end of lemma zenon_L270_ *) % 11.34/11.58 assert (zenon_L271_ : ((op (e3) (e2)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H103 zenon_Hed zenon_H1ce. % 11.34/11.58 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ]. % 11.34/11.58 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (e0)) = (op (e3) (e2)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H1ce. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H105. % 11.34/11.58 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 11.34/11.58 cut (((op (e3) (e2)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1cf]. % 11.34/11.58 congruence. % 11.34/11.58 cut (((op (e3) (e2)) = (e2)) = ((op (e3) (e2)) = (op (e3) (e0)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H1cf. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H103. % 11.34/11.58 cut (((e2) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H126]. % 11.34/11.58 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H106. apply refl_equal. % 11.34/11.58 apply zenon_H126. apply sym_equal. exact zenon_Hed. % 11.34/11.58 apply zenon_H106. apply refl_equal. % 11.34/11.58 apply zenon_H106. apply refl_equal. % 11.34/11.58 (* end of lemma zenon_L271_ *) % 11.34/11.58 assert (zenon_L272_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H1a0 zenon_H4f zenon_H5e zenon_H5f zenon_H2b zenon_H167 zenon_H186 zenon_H103 zenon_H1ce. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.34/11.58 apply (zenon_L116_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.34/11.58 apply (zenon_L196_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.34/11.58 apply (zenon_L146_); trivial. % 11.34/11.58 apply (zenon_L271_); trivial. % 11.34/11.58 (* end of lemma zenon_L272_ *) % 11.34/11.58 assert (zenon_L273_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3)))))))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H239 zenon_Hfe zenon_H127. % 11.34/11.58 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H167. zenon_intro zenon_H23a. % 11.34/11.58 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H103. zenon_intro zenon_H15e. % 11.34/11.58 apply (zenon_L87_); trivial. % 11.34/11.58 (* end of lemma zenon_L273_ *) % 11.34/11.58 assert (zenon_L274_ : (((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)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3)))))))) -> (~((e2) = (e3))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H23b zenon_H82 zenon_H35 zenon_Hf8 zenon_H96 zenon_H93 zenon_H22e zenon_H239 zenon_Hfe. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.34/11.58 apply (zenon_L201_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.34/11.58 apply (zenon_L225_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.34/11.58 apply (zenon_L240_); trivial. % 11.34/11.58 apply (zenon_L273_); trivial. % 11.34/11.58 (* end of lemma zenon_L274_ *) % 11.34/11.58 assert (zenon_L275_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3)))))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H157 zenon_H239 zenon_H22e zenon_H96 zenon_Hf8 zenon_H35 zenon_H82 zenon_H23b zenon_Hd3 zenon_Hae zenon_H140 zenon_H167 zenon_Hfe. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.34/11.58 apply (zenon_L274_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.34/11.58 apply (zenon_L199_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.34/11.58 apply (zenon_L137_); trivial. % 11.34/11.58 apply (zenon_L138_); trivial. % 11.34/11.58 (* end of lemma zenon_L275_ *) % 11.34/11.58 assert (zenon_L276_ : ((op (e3) (e1)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.34/11.58 do 0 intro. intros zenon_He2 zenon_Hda zenon_H99. % 11.34/11.58 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H173 | zenon_intro zenon_H174 ]. % 11.34/11.58 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e2) (e1)) = (op (e3) (e1)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H99. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H173. % 11.34/11.58 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 11.34/11.58 cut (((op (e3) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H23e]. % 11.34/11.58 congruence. % 11.34/11.58 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e2) (e1)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H23e. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_He2. % 11.34/11.58 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1fb]. % 11.34/11.58 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H174. apply refl_equal. % 11.34/11.58 apply zenon_H1fb. apply sym_equal. exact zenon_Hda. % 11.34/11.58 apply zenon_H174. apply refl_equal. % 11.34/11.58 apply zenon_H174. apply refl_equal. % 11.34/11.58 (* end of lemma zenon_L276_ *) % 11.34/11.58 assert (zenon_L277_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3)))))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H239 zenon_H186 zenon_Hec. % 11.34/11.58 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H167. zenon_intro zenon_H23a. % 11.34/11.58 apply (zenon_L146_); trivial. % 11.34/11.58 (* end of lemma zenon_L277_ *) % 11.34/11.58 assert (zenon_L278_ : ((op (e0) (e2)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False). % 11.34/11.58 do 0 intro. intros zenon_Hf0 zenon_Hd8 zenon_H1f3. % 11.34/11.58 elim (classic ((op (e0) (e2)) = (op (e0) (e2)))); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H57 ]. % 11.34/11.58 cut (((op (e0) (e2)) = (op (e0) (e2))) = ((op (e0) (e0)) = (op (e0) (e2)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H1f3. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H1f4. % 11.34/11.58 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 11.34/11.58 cut (((op (e0) (e2)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f5]. % 11.34/11.58 congruence. % 11.34/11.58 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e0) (e0)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H1f5. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_Hf0. % 11.34/11.58 cut (((e2) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_He1]. % 11.34/11.58 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H57. apply refl_equal. % 11.34/11.58 apply zenon_He1. apply sym_equal. exact zenon_Hd8. % 11.34/11.58 apply zenon_H57. apply refl_equal. % 11.34/11.58 apply zenon_H57. apply refl_equal. % 11.34/11.58 (* end of lemma zenon_L278_ *) % 11.34/11.58 assert (zenon_L279_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H1a0 zenon_H1f3 zenon_Hf0 zenon_H68 zenon_H59 zenon_H167 zenon_H186 zenon_Hb5 zenon_H5f. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.34/11.58 apply (zenon_L278_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.34/11.58 apply (zenon_L113_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.34/11.58 apply (zenon_L146_); trivial. % 11.34/11.58 apply (zenon_L69_); trivial. % 11.34/11.58 (* end of lemma zenon_L279_ *) % 11.34/11.58 assert (zenon_L280_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H1a6 zenon_Hd9 zenon_H4f zenon_H5f zenon_Hb5 zenon_H186 zenon_H59 zenon_H68 zenon_H1f3 zenon_H1a0 zenon_H1a3 zenon_H167. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.34/11.58 exact (zenon_Hd9 zenon_Hd8). % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.34/11.58 apply (zenon_L147_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.34/11.58 apply (zenon_L279_); trivial. % 11.34/11.58 apply (zenon_L148_); trivial. % 11.34/11.58 (* end of lemma zenon_L280_ *) % 11.34/11.58 assert (zenon_L281_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H157 zenon_Ha8 zenon_H5c zenon_H82 zenon_H13b zenon_H140 zenon_H167 zenon_Hfe. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.34/11.58 apply (zenon_L119_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.34/11.58 apply (zenon_L95_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.34/11.58 apply (zenon_L137_); trivial. % 11.34/11.58 apply (zenon_L138_); trivial. % 11.34/11.58 (* end of lemma zenon_L281_ *) % 11.34/11.58 assert (zenon_L282_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e0) = (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)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H20f zenon_H34 zenon_H5f zenon_H180 zenon_H35 zenon_H1f8 zenon_H125 zenon_H146 zenon_Hfe zenon_H167 zenon_H140 zenon_H82 zenon_H5c zenon_Ha8 zenon_H157 zenon_Hcc zenon_Hb5. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.34/11.58 apply (zenon_L8_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.34/11.58 apply (zenon_L212_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.34/11.58 apply (zenon_L281_); trivial. % 11.34/11.58 apply (zenon_L219_); trivial. % 11.34/11.58 (* end of lemma zenon_L282_ *) % 11.34/11.58 assert (zenon_L283_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H23f zenon_H96 zenon_H59. % 11.34/11.58 cut (((op (e0) (e0)) = (e1)) = ((op (e0) (e0)) = (op (e1) (e0)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H23f. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H96. % 11.34/11.58 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 11.34/11.58 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H98. apply refl_equal. % 11.34/11.58 apply zenon_Hd2. apply sym_equal. exact zenon_H59. % 11.34/11.58 (* end of lemma zenon_L283_ *) % 11.34/11.58 assert (zenon_L284_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> False). % 11.34/11.58 do 0 intro. intros zenon_Hce zenon_H2b zenon_H8d. % 11.34/11.58 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e3)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_Hce. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H2b. % 11.34/11.58 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H240]. % 11.34/11.58 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H5a. apply refl_equal. % 11.34/11.58 apply zenon_H240. apply sym_equal. exact zenon_H8d. % 11.34/11.58 (* end of lemma zenon_L284_ *) % 11.34/11.58 assert (zenon_L285_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False). % 11.34/11.58 do 0 intro. intros zenon_Hbe zenon_H44 zenon_H241. % 11.34/11.58 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd0 ]. % 11.34/11.58 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e1)) = (op (e1) (e3)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H241. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_Hcf. % 11.34/11.58 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd0]. % 11.34/11.58 cut (((op (e1) (e3)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H242]. % 11.34/11.58 congruence. % 11.34/11.58 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e1)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H242. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_Hbe. % 11.34/11.58 cut (((e1) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 11.34/11.58 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd0]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_Hd0. apply refl_equal. % 11.34/11.58 apply zenon_H16f. apply sym_equal. exact zenon_H44. % 11.34/11.58 apply zenon_Hd0. apply refl_equal. % 11.34/11.58 apply zenon_Hd0. apply refl_equal. % 11.34/11.58 (* end of lemma zenon_L285_ *) % 11.34/11.58 assert (zenon_L286_ : (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H109 zenon_H10c zenon_H11a. % 11.34/11.58 cut (((op (e1) (e2)) = (e2)) = ((op (e1) (e2)) = (op (e1) (e3)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H109. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H10c. % 11.34/11.58 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H199]. % 11.34/11.58 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_Ha0. apply refl_equal. % 11.34/11.58 apply zenon_H199. apply sym_equal. exact zenon_H11a. % 11.34/11.58 (* end of lemma zenon_L286_ *) % 11.34/11.58 assert (zenon_L287_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H169 zenon_Hed zenon_H11b. % 11.34/11.58 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (e0)) = (op (e3) (e3)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H169. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_Hed. % 11.34/11.58 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11c]. % 11.34/11.58 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_Hcd. apply refl_equal. % 11.34/11.58 apply zenon_H11c. apply sym_equal. exact zenon_H11b. % 11.34/11.58 (* end of lemma zenon_L287_ *) % 11.34/11.58 assert (zenon_L288_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H243 zenon_Hfe zenon_H129 zenon_H10c zenon_H109 zenon_H17b zenon_H68 zenon_H169 zenon_Hed. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H244 ]. % 11.34/11.58 apply (zenon_L233_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H11a | zenon_intro zenon_H245 ]. % 11.34/11.58 apply (zenon_L286_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H167 | zenon_intro zenon_H11b ]. % 11.34/11.58 apply (zenon_L121_); trivial. % 11.34/11.58 apply (zenon_L287_); trivial. % 11.34/11.58 (* end of lemma zenon_L288_ *) % 11.34/11.58 assert (zenon_L289_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H172 zenon_H5e zenon_H6f. % 11.34/11.58 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e3) (e1)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H172. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H5e. % 11.34/11.58 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1cd]. % 11.34/11.58 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H37. apply refl_equal. % 11.34/11.58 apply zenon_H1cd. apply sym_equal. exact zenon_H6f. % 11.34/11.58 (* end of lemma zenon_L289_ *) % 11.34/11.58 assert (zenon_L290_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H12c zenon_Hbe zenon_H17b. % 11.34/11.58 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e2) (e3)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H12c. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_Hbe. % 11.34/11.58 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H187]. % 11.34/11.58 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd0]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_Hd0. apply refl_equal. % 11.34/11.58 apply zenon_H187. apply sym_equal. exact zenon_H17b. % 11.34/11.58 (* end of lemma zenon_L290_ *) % 11.34/11.58 assert (zenon_L291_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H11f zenon_H169 zenon_H68 zenon_H109 zenon_H10c zenon_Hfe zenon_H243 zenon_H5e zenon_H172 zenon_H1bf zenon_H120 zenon_H144 zenon_H17b zenon_H12c zenon_H119 zenon_H129 zenon_H117. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.34/11.58 apply (zenon_L288_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.34/11.58 apply (zenon_L289_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.34/11.58 apply (zenon_L164_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H8d | zenon_intro zenon_H123 ]. % 11.34/11.58 apply (zenon_L98_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbe | zenon_intro zenon_H124 ]. % 11.34/11.58 apply (zenon_L290_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11a | zenon_intro zenon_Hc2 ]. % 11.34/11.58 apply (zenon_L83_); trivial. % 11.34/11.58 apply (zenon_L226_); trivial. % 11.34/11.58 (* end of lemma zenon_L291_ *) % 11.34/11.58 assert (zenon_L292_ : ((op (e3) (e1)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H1aa zenon_H6f zenon_H5f. % 11.34/11.58 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.34/11.58 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H5f. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H60. % 11.34/11.58 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.58 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 11.34/11.58 congruence. % 11.34/11.58 cut (((op (e3) (e1)) = (e0)) = ((e2) = (e0))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H62. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H1aa. % 11.34/11.58 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.58 cut (((op (e3) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H102]. % 11.34/11.58 congruence. % 11.34/11.58 exact (zenon_H102 zenon_H6f). % 11.34/11.58 apply zenon_H1d. apply refl_equal. % 11.34/11.58 apply zenon_H61. apply refl_equal. % 11.34/11.58 apply zenon_H61. apply refl_equal. % 11.34/11.58 (* end of lemma zenon_L292_ *) % 11.34/11.58 assert (zenon_L293_ : (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H246 zenon_H17b zenon_Ha3. % 11.34/11.58 cut (((op (e2) (e3)) = (e1)) = ((op (e2) (e3)) = (op (e3) (e3)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H246. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H17b. % 11.34/11.58 cut (((e1) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 11.34/11.58 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12e]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H12e. apply refl_equal. % 11.34/11.58 apply zenon_Ha4. apply sym_equal. exact zenon_Ha3. % 11.34/11.58 (* end of lemma zenon_L293_ *) % 11.34/11.58 assert (zenon_L294_ : (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H246 zenon_H167 zenon_H11b. % 11.34/11.58 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e3) (e3)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H246. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H167. % 11.34/11.58 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11c]. % 11.34/11.58 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12e]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H12e. apply refl_equal. % 11.34/11.58 apply zenon_H11c. apply sym_equal. exact zenon_H11b. % 11.34/11.58 (* end of lemma zenon_L294_ *) % 11.34/11.58 assert (zenon_L295_ : (((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 (e3) (e3)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H247 zenon_H8d zenon_H12c zenon_Ha3 zenon_H11b zenon_H246 zenon_H129 zenon_H1a3. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H144 | zenon_intro zenon_H248 ]. % 11.34/11.58 apply (zenon_L98_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H17b | zenon_intro zenon_H249 ]. % 11.34/11.58 apply (zenon_L293_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H167 | zenon_intro zenon_H12b ]. % 11.34/11.58 apply (zenon_L294_); trivial. % 11.34/11.58 apply (zenon_L160_); trivial. % 11.34/11.58 (* end of lemma zenon_L295_ *) % 11.34/11.58 assert (zenon_L296_ : (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H119 zenon_Hbe zenon_Ha3. % 11.34/11.58 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e3) (e3)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H119. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_Hbe. % 11.34/11.58 cut (((e1) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 11.34/11.58 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd0]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_Hd0. apply refl_equal. % 11.34/11.58 apply zenon_Ha4. apply sym_equal. exact zenon_Ha3. % 11.34/11.58 (* end of lemma zenon_L296_ *) % 11.34/11.58 assert (zenon_L297_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (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 (e3) (e3)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H120 zenon_H1a3 zenon_H246 zenon_H12c zenon_H247 zenon_Ha3 zenon_H11b zenon_H119 zenon_H129 zenon_H117. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H8d | zenon_intro zenon_H123 ]. % 11.34/11.58 apply (zenon_L295_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbe | zenon_intro zenon_H124 ]. % 11.34/11.58 apply (zenon_L296_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11a | zenon_intro zenon_Hc2 ]. % 11.34/11.58 apply (zenon_L83_); trivial. % 11.34/11.58 apply (zenon_L226_); trivial. % 11.34/11.58 (* end of lemma zenon_L297_ *) % 11.34/11.58 assert (zenon_L298_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (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 (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H11f zenon_Ha9 zenon_Hfe zenon_H5f zenon_H1aa zenon_H1bf zenon_H120 zenon_H1a3 zenon_H246 zenon_H12c zenon_H247 zenon_Ha3 zenon_H119 zenon_H129 zenon_H117. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.34/11.58 apply (zenon_L241_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.34/11.58 apply (zenon_L292_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.34/11.58 apply (zenon_L164_); trivial. % 11.34/11.58 apply (zenon_L297_); trivial. % 11.34/11.58 (* end of lemma zenon_L298_ *) % 11.34/11.58 assert (zenon_L299_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (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 (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H24a zenon_Ha8 zenon_H241 zenon_H44 zenon_H144 zenon_H172 zenon_H5e zenon_H243 zenon_H10c zenon_H109 zenon_H68 zenon_H169 zenon_H11f zenon_Ha9 zenon_Hfe zenon_H5f zenon_H1aa zenon_H1bf zenon_H120 zenon_H1a3 zenon_H246 zenon_H12c zenon_H247 zenon_H119 zenon_H129 zenon_H117. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.34/11.58 apply (zenon_L88_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.34/11.58 apply (zenon_L285_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.34/11.58 apply (zenon_L291_); trivial. % 11.34/11.58 apply (zenon_L298_); trivial. % 11.34/11.58 (* end of lemma zenon_L299_ *) % 11.34/11.58 assert (zenon_L300_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e2)) = (e2)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H22e zenon_Hec zenon_H160. % 11.34/11.58 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e2) (e2)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H22e. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_Hec. % 11.34/11.58 cut (((e2) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H24d]. % 11.34/11.58 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_Hfa. apply refl_equal. % 11.34/11.58 apply zenon_H24d. apply sym_equal. exact zenon_H160. % 11.34/11.58 (* end of lemma zenon_L300_ *) % 11.34/11.58 assert (zenon_L301_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H24e zenon_H35 zenon_H5f zenon_H11a zenon_H109 zenon_Hec zenon_H22e zenon_H1bf. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.34/11.58 apply (zenon_L229_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.34/11.58 apply (zenon_L286_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.34/11.58 apply (zenon_L300_); trivial. % 11.34/11.58 apply (zenon_L164_); trivial. % 11.34/11.58 (* end of lemma zenon_L301_ *) % 11.34/11.58 assert (zenon_L302_ : (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H58 zenon_H2b zenon_H8a. % 11.34/11.58 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e2)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H58. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H2b. % 11.34/11.58 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 11.34/11.58 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H5a. apply refl_equal. % 11.34/11.58 apply zenon_H10b. apply sym_equal. exact zenon_H8a. % 11.34/11.58 (* end of lemma zenon_L302_ *) % 11.34/11.58 assert (zenon_L303_ : (~((e0) = (e2))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e2)) = (e0)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H5f zenon_H103 zenon_H1ac. % 11.34/11.58 cut (((op (e3) (e2)) = (e2)) = ((e0) = (e2))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H5f. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H103. % 11.34/11.58 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.58 cut (((op (e3) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H251]. % 11.34/11.58 congruence. % 11.34/11.58 exact (zenon_H251 zenon_H1ac). % 11.34/11.58 apply zenon_H61. apply refl_equal. % 11.34/11.58 (* end of lemma zenon_L303_ *) % 11.34/11.58 assert (zenon_L304_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H252 zenon_H1bf zenon_H22e zenon_H109 zenon_H24e zenon_H2b zenon_H58 zenon_Hec zenon_H140 zenon_H11f zenon_Ha9 zenon_Hfe zenon_H1aa zenon_H5f zenon_H119 zenon_H11a. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.34/11.58 apply (zenon_L301_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.34/11.58 apply (zenon_L302_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.34/11.58 apply (zenon_L97_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.34/11.58 apply (zenon_L241_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.34/11.58 apply (zenon_L292_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.34/11.58 apply (zenon_L303_); trivial. % 11.34/11.58 apply (zenon_L83_); trivial. % 11.34/11.58 (* end of lemma zenon_L304_ *) % 11.34/11.58 assert (zenon_L305_ : (((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 (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H156 zenon_He4 zenon_H5e zenon_H87 zenon_H55 zenon_H68 zenon_H24e zenon_H35 zenon_H5f zenon_H109 zenon_Hec zenon_H22e zenon_H1bf. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.34/11.58 apply (zenon_L74_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.34/11.58 apply (zenon_L202_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.34/11.58 apply (zenon_L245_); trivial. % 11.34/11.58 apply (zenon_L301_); trivial. % 11.34/11.58 (* end of lemma zenon_L305_ *) % 11.34/11.58 assert (zenon_L306_ : (((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 (e2) (op (e2) (e1))) = (e1))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H19a zenon_H68 zenon_H5e zenon_H241 zenon_Hbe zenon_Hf3 zenon_H1b7. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.34/11.58 apply (zenon_L242_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.34/11.58 apply (zenon_L285_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.34/11.58 apply (zenon_L73_); trivial. % 11.34/11.58 apply (zenon_L161_); trivial. % 11.34/11.58 (* end of lemma zenon_L306_ *) % 11.34/11.58 assert (zenon_L307_ : (((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) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((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))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (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 (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((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 (e2) (op (e2) (e1))) = (e1))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> False). % 11.34/11.58 do 0 intro. intros zenon_He5 zenon_H96 zenon_H23f zenon_H119 zenon_H1aa zenon_Hfe zenon_Ha9 zenon_H11f zenon_H140 zenon_H58 zenon_H2b zenon_H252 zenon_H16c zenon_H1de zenon_Hce zenon_H117 zenon_H129 zenon_H247 zenon_H12c zenon_H246 zenon_H1a3 zenon_H120 zenon_H169 zenon_H243 zenon_H172 zenon_Ha8 zenon_H24a zenon_H1b0 zenon_H1bf zenon_H22e zenon_Hec zenon_H109 zenon_H5f zenon_H35 zenon_H24e zenon_H87 zenon_He4 zenon_H156 zenon_H19a zenon_H68 zenon_H5e zenon_H241 zenon_Hf3 zenon_H1b7. % 11.34/11.58 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.34/11.58 apply (zenon_L283_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.34/11.58 apply (zenon_L74_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.34/11.58 apply (zenon_L202_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H38 | zenon_intro zenon_H16d ]. % 11.34/11.58 apply (zenon_L191_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8d | zenon_intro zenon_H16e ]. % 11.34/11.58 apply (zenon_L284_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H144 | zenon_intro zenon_H16a ]. % 11.34/11.58 apply (zenon_L299_); trivial. % 11.34/11.58 apply (zenon_L158_); trivial. % 11.34/11.58 apply (zenon_L304_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.34/11.58 apply (zenon_L305_); trivial. % 11.34/11.58 apply (zenon_L306_); trivial. % 11.34/11.58 (* end of lemma zenon_L307_ *) % 11.34/11.58 assert (zenon_L308_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H104 zenon_H35 zenon_H1ac. % 11.34/11.58 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e3) (e2)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H104. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H35. % 11.34/11.58 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1ad]. % 11.34/11.58 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H57. apply refl_equal. % 11.34/11.58 apply zenon_H1ad. apply sym_equal. exact zenon_H1ac. % 11.34/11.58 (* end of lemma zenon_L308_ *) % 11.34/11.58 assert (zenon_L309_ : ((op (e3) (e1)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False). % 11.34/11.58 do 0 intro. intros zenon_He2 zenon_Hd3 zenon_H172. % 11.34/11.58 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H173 | zenon_intro zenon_H174 ]. % 11.34/11.58 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e0) (e1)) = (op (e3) (e1)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H172. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H173. % 11.34/11.58 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 11.34/11.58 cut (((op (e3) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H175]. % 11.34/11.58 congruence. % 11.34/11.58 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e0) (e1)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H175. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_He2. % 11.34/11.58 cut (((e3) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H255]. % 11.34/11.58 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H174. apply refl_equal. % 11.34/11.58 apply zenon_H255. apply sym_equal. exact zenon_Hd3. % 11.34/11.58 apply zenon_H174. apply refl_equal. % 11.34/11.58 apply zenon_H174. apply refl_equal. % 11.34/11.58 (* end of lemma zenon_L309_ *) % 11.34/11.58 assert (zenon_L310_ : (((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 (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H1c8 zenon_Ha8 zenon_H96 zenon_H172 zenon_He2 zenon_H82 zenon_H35 zenon_H1a4 zenon_Hfe. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.34/11.58 apply (zenon_L195_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.34/11.58 apply (zenon_L309_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.34/11.58 apply (zenon_L201_); trivial. % 11.34/11.58 apply (zenon_L233_); trivial. % 11.34/11.58 (* end of lemma zenon_L310_ *) % 11.34/11.58 assert (zenon_L311_ : ((op (e3) (e0)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False). % 11.34/11.58 do 0 intro. intros zenon_Hed zenon_Hf8 zenon_He8. % 11.34/11.58 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_He9 | zenon_intro zenon_Hcd ]. % 11.34/11.58 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e1) (e0)) = (op (e3) (e0)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_He8. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_He9. % 11.34/11.58 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.58 cut (((op (e3) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 11.34/11.58 congruence. % 11.34/11.58 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (e0)) = (op (e1) (e0)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_Hea. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_Hed. % 11.34/11.58 cut (((e2) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 11.34/11.58 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_Hcd. apply refl_equal. % 11.34/11.58 apply zenon_Hfc. apply sym_equal. exact zenon_Hf8. % 11.34/11.58 apply zenon_Hcd. apply refl_equal. % 11.34/11.58 apply zenon_Hcd. apply refl_equal. % 11.34/11.58 (* end of lemma zenon_L311_ *) % 11.34/11.58 assert (zenon_L312_ : ((op (e2) (e1)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H69 zenon_H65 zenon_H1f8. % 11.34/11.58 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_Haf | zenon_intro zenon_H9c ]. % 11.34/11.58 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e1) (e1)) = (op (e2) (e1)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H1f8. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_Haf. % 11.34/11.58 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 11.34/11.58 cut (((op (e2) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H256]. % 11.34/11.58 congruence. % 11.34/11.58 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e1) (e1)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H256. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H69. % 11.34/11.58 cut (((e2) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 11.34/11.58 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H9c. apply refl_equal. % 11.34/11.58 apply zenon_H110. apply sym_equal. exact zenon_H65. % 11.34/11.58 apply zenon_H9c. apply refl_equal. % 11.34/11.58 apply zenon_H9c. apply refl_equal. % 11.34/11.58 (* end of lemma zenon_L312_ *) % 11.34/11.58 assert (zenon_L313_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e1)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H257 zenon_Ha3. % 11.34/11.58 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H258]. % 11.34/11.58 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H84. apply refl_equal. % 11.34/11.58 exact (zenon_H258 zenon_Ha3). % 11.34/11.58 (* end of lemma zenon_L313_ *) % 11.34/11.58 assert (zenon_L314_ : (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e3)) = (e1)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H1b0 zenon_He2 zenon_Ha3. % 11.34/11.58 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (op (e3) (e3))) = (e3))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H1b0. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_He2. % 11.34/11.58 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.58 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H259]. % 11.34/11.58 congruence. % 11.34/11.58 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1b3 ]. % 11.34/11.58 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e3))))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H259. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H1b2. % 11.34/11.58 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1b3]. % 11.34/11.58 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H257]. % 11.34/11.58 congruence. % 11.34/11.58 apply (zenon_L313_); trivial. % 11.34/11.58 apply zenon_H1b3. apply refl_equal. % 11.34/11.58 apply zenon_H1b3. apply refl_equal. % 11.34/11.58 apply zenon_H84. apply refl_equal. % 11.34/11.58 (* end of lemma zenon_L314_ *) % 11.34/11.58 assert (zenon_L315_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H24a zenon_H3e zenon_H39 zenon_Ha8 zenon_Hc2 zenon_H167 zenon_H68 zenon_H1b0 zenon_He2. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.34/11.58 apply (zenon_L72_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.34/11.58 apply (zenon_L51_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.34/11.58 apply (zenon_L121_); trivial. % 11.34/11.58 apply (zenon_L314_); trivial. % 11.34/11.58 (* end of lemma zenon_L315_ *) % 11.34/11.58 assert (zenon_L316_ : (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e2)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H1de zenon_Hf0 zenon_H1a4. % 11.34/11.58 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e0) (e3)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H1de. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_Hf0. % 11.34/11.58 cut (((e2) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H25a]. % 11.34/11.58 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H57. apply refl_equal. % 11.34/11.58 apply zenon_H25a. apply sym_equal. exact zenon_H1a4. % 11.34/11.58 (* end of lemma zenon_L316_ *) % 11.34/11.58 assert (zenon_L317_ : (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e2)) = (e2)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H1e0 zenon_H69 zenon_H160. % 11.34/11.58 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e2) (e2)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H1e0. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H69. % 11.34/11.58 cut (((e2) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H24d]. % 11.34/11.58 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H9c. apply refl_equal. % 11.34/11.58 apply zenon_H24d. apply sym_equal. exact zenon_H160. % 11.34/11.58 (* end of lemma zenon_L317_ *) % 11.34/11.58 assert (zenon_L318_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H24e zenon_H1a4 zenon_H1de zenon_H11a zenon_H109 zenon_H69 zenon_H1e0 zenon_Hed zenon_H1ce. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.34/11.58 apply (zenon_L316_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.34/11.58 apply (zenon_L286_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.34/11.58 apply (zenon_L317_); trivial. % 11.34/11.58 apply (zenon_L271_); trivial. % 11.34/11.58 (* end of lemma zenon_L318_ *) % 11.34/11.58 assert (zenon_L319_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H11f zenon_H68 zenon_H70 zenon_H6d zenon_H1bf zenon_Ha1 zenon_H1a4. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.34/11.58 apply (zenon_L163_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.34/11.58 apply (zenon_L25_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.34/11.58 apply (zenon_L164_); trivial. % 11.34/11.58 apply (zenon_L261_); trivial. % 11.34/11.58 (* end of lemma zenon_L319_ *) % 11.34/11.58 assert (zenon_L320_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H1c8 zenon_H96 zenon_H172 zenon_He2 zenon_H82 zenon_H35 zenon_Ha2 zenon_Ha8. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.34/11.58 apply (zenon_L195_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.34/11.58 apply (zenon_L309_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.34/11.58 apply (zenon_L201_); trivial. % 11.34/11.58 apply (zenon_L88_); trivial. % 11.34/11.58 (* end of lemma zenon_L320_ *) % 11.34/11.58 assert (zenon_L321_ : (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> False). % 11.34/11.58 do 0 intro. intros zenon_Hd5 zenon_H2b zenon_H88. % 11.34/11.58 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e1)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_Hd5. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H2b. % 11.34/11.58 cut (((e0) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H89]. % 11.34/11.58 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H5a. apply refl_equal. % 11.34/11.58 apply zenon_H89. apply sym_equal. exact zenon_H88. % 11.34/11.58 (* end of lemma zenon_L321_ *) % 11.34/11.58 assert (zenon_L322_ : (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e0)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H82 zenon_He2 zenon_H1aa. % 11.34/11.58 cut (((op (e3) (e1)) = (e3)) = ((e0) = (e3))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H82. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_He2. % 11.34/11.58 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.58 cut (((op (e3) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H25b]. % 11.34/11.58 congruence. % 11.34/11.58 exact (zenon_H25b zenon_H1aa). % 11.34/11.58 apply zenon_H84. apply refl_equal. % 11.34/11.58 (* end of lemma zenon_L322_ *) % 11.34/11.58 assert (zenon_L323_ : (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H246 zenon_H144 zenon_H16a. % 11.34/11.58 cut (((op (e2) (e3)) = (e0)) = ((op (e2) (e3)) = (op (e3) (e3)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H246. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H144. % 11.34/11.58 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H16b]. % 11.34/11.58 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12e]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H12e. apply refl_equal. % 11.34/11.58 apply zenon_H16b. apply sym_equal. exact zenon_H16a. % 11.34/11.58 (* end of lemma zenon_L323_ *) % 11.34/11.58 assert (zenon_L324_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H1a3 zenon_Ha2 zenon_H17b. % 11.34/11.58 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e2) (e3)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H1a3. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_Ha2. % 11.34/11.58 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H187]. % 11.34/11.58 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H3b. apply refl_equal. % 11.34/11.58 apply zenon_H187. apply sym_equal. exact zenon_H17b. % 11.34/11.58 (* end of lemma zenon_L324_ *) % 11.34/11.58 assert (zenon_L325_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((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))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H1da zenon_H3f zenon_He2 zenon_H82 zenon_H35 zenon_H104 zenon_H11f zenon_H68 zenon_H70 zenon_H5e zenon_H172 zenon_H1bf zenon_H247 zenon_Ha2 zenon_H1a3 zenon_H246 zenon_Hc2 zenon_H12c. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.34/11.58 apply (zenon_L42_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.34/11.58 apply (zenon_L322_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.34/11.58 apply (zenon_L308_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.34/11.58 apply (zenon_L163_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.34/11.58 apply (zenon_L289_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.34/11.58 apply (zenon_L164_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H144 | zenon_intro zenon_H248 ]. % 11.34/11.58 apply (zenon_L323_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H17b | zenon_intro zenon_H249 ]. % 11.34/11.58 apply (zenon_L324_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H167 | zenon_intro zenon_H12b ]. % 11.34/11.58 apply (zenon_L294_); trivial. % 11.34/11.58 apply (zenon_L89_); trivial. % 11.34/11.58 (* end of lemma zenon_L325_ *) % 11.34/11.58 assert (zenon_L326_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H25c zenon_H149. % 11.34/11.58 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H127. zenon_intro zenon_H25d. % 11.34/11.58 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H12b. zenon_intro zenon_H1be. % 11.34/11.58 apply (zenon_L100_); trivial. % 11.34/11.58 (* end of lemma zenon_L326_ *) % 11.34/11.58 assert (zenon_L327_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3)))))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H25e zenon_H1e4. % 11.34/11.58 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H38. zenon_intro zenon_H25f. % 11.34/11.58 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_Hb5. zenon_intro zenon_H27. % 11.34/11.58 apply (zenon_L185_); trivial. % 11.34/11.58 (* end of lemma zenon_L327_ *) % 11.34/11.58 assert (zenon_L328_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H38 zenon_H1f zenon_H260. % 11.34/11.58 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H3a | zenon_intro zenon_H3b ]. % 11.34/11.58 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e0)) = (op (e0) (e3)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H260. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H3a. % 11.34/11.58 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.34/11.58 cut (((op (e0) (e3)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H261]. % 11.34/11.58 congruence. % 11.34/11.58 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e0) (e0)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H261. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H38. % 11.34/11.58 cut (((e0) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 11.34/11.58 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H3b. apply refl_equal. % 11.34/11.58 apply zenon_H52. apply sym_equal. exact zenon_H1f. % 11.34/11.58 apply zenon_H3b. apply refl_equal. % 11.34/11.58 apply zenon_H3b. apply refl_equal. % 11.34/11.58 (* end of lemma zenon_L328_ *) % 11.34/11.58 assert (zenon_L329_ : (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False). % 11.34/11.58 do 0 intro. intros zenon_Hb2 zenon_H5b zenon_H13b. % 11.34/11.58 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e1)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_Hb2. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H5b. % 11.34/11.58 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H171]. % 11.34/11.58 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_Hfa. apply refl_equal. % 11.34/11.58 apply zenon_H171. apply sym_equal. exact zenon_H13b. % 11.34/11.58 (* end of lemma zenon_L329_ *) % 11.34/11.58 assert (zenon_L330_ : ((op (e0) (e3)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H129 zenon_Hfd zenon_H1de. % 11.34/11.58 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H3a | zenon_intro zenon_H3b ]. % 11.34/11.58 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e2)) = (op (e0) (e3)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H1de. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H3a. % 11.34/11.58 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.34/11.58 cut (((op (e0) (e3)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1df]. % 11.34/11.58 congruence. % 11.34/11.58 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e0) (e2)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H1df. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H129. % 11.34/11.58 cut (((e3) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1c7]. % 11.34/11.58 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H3b. apply refl_equal. % 11.34/11.58 apply zenon_H1c7. apply sym_equal. exact zenon_Hfd. % 11.34/11.58 apply zenon_H3b. apply refl_equal. % 11.34/11.58 apply zenon_H3b. apply refl_equal. % 11.34/11.58 (* end of lemma zenon_L330_ *) % 11.34/11.58 assert (zenon_L331_ : ((op (e2) (e3)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H17b zenon_H12b zenon_Ha8. % 11.34/11.58 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.58 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_Ha8. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H83. % 11.34/11.58 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.58 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hba]. % 11.34/11.58 congruence. % 11.34/11.58 cut (((op (e2) (e3)) = (e1)) = ((e3) = (e1))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_Hba. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H17b. % 11.34/11.58 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.58 cut (((op (e2) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 11.34/11.58 congruence. % 11.34/11.58 exact (zenon_H14e zenon_H12b). % 11.34/11.58 apply zenon_H29. apply refl_equal. % 11.34/11.58 apply zenon_H84. apply refl_equal. % 11.34/11.58 apply zenon_H84. apply refl_equal. % 11.34/11.58 (* end of lemma zenon_L331_ *) % 11.34/11.58 assert (zenon_L332_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H169 zenon_Ha9 zenon_H132. % 11.34/11.58 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e3) (e3)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H169. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_Ha9. % 11.34/11.58 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H133]. % 11.34/11.58 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_Hcd. apply refl_equal. % 11.34/11.58 apply zenon_H133. apply sym_equal. exact zenon_H132. % 11.34/11.58 (* end of lemma zenon_L332_ *) % 11.34/11.58 assert (zenon_L333_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H232 zenon_H1de zenon_Hfd zenon_H8c zenon_Ha8 zenon_H17b zenon_H169 zenon_Ha9. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H129 | zenon_intro zenon_H233 ]. % 11.34/11.58 apply (zenon_L330_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H234 ]. % 11.34/11.58 apply (zenon_L84_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H12b | zenon_intro zenon_H132 ]. % 11.34/11.58 apply (zenon_L331_); trivial. % 11.34/11.58 apply (zenon_L332_); trivial. % 11.34/11.58 (* end of lemma zenon_L333_ *) % 11.34/11.58 assert (zenon_L334_ : (((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)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H262 zenon_H6e zenon_Ha8 zenon_H59 zenon_H82 zenon_H5b zenon_Hfe zenon_Hed. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.34/11.58 exact (zenon_H6e zenon_H6d). % 11.34/11.58 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.34/11.58 apply (zenon_L47_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.34/11.58 apply (zenon_L32_); trivial. % 11.34/11.58 apply (zenon_L241_); trivial. % 11.34/11.58 (* end of lemma zenon_L334_ *) % 11.34/11.58 assert (zenon_L335_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (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 (e3) (e3)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H120 zenon_H1a3 zenon_H129 zenon_H246 zenon_H12c zenon_H247 zenon_Ha3 zenon_H11b zenon_H119 zenon_H8c. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H8d | zenon_intro zenon_H123 ]. % 11.34/11.58 apply (zenon_L295_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbe | zenon_intro zenon_H124 ]. % 11.34/11.58 apply (zenon_L296_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11a | zenon_intro zenon_Hc2 ]. % 11.34/11.58 apply (zenon_L83_); trivial. % 11.34/11.58 apply (zenon_L84_); trivial. % 11.34/11.58 (* end of lemma zenon_L335_ *) % 11.34/11.58 assert (zenon_L336_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e1)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (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) (e0)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H11f zenon_Hfe zenon_H5b zenon_H6e zenon_H262 zenon_H5f zenon_H1aa zenon_H1bf zenon_H232 zenon_Ha3 zenon_H247 zenon_H246 zenon_H1a3 zenon_H8c zenon_H12c zenon_H119 zenon_Hc4 zenon_H59 zenon_H46 zenon_H82 zenon_H8a zenon_Ha8 zenon_H109 zenon_H120 zenon_H169 zenon_Ha9. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.34/11.58 apply (zenon_L334_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.34/11.58 apply (zenon_L292_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.34/11.58 apply (zenon_L164_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H129 | zenon_intro zenon_H233 ]. % 11.34/11.58 apply (zenon_L335_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H234 ]. % 11.34/11.58 apply (zenon_L84_); trivial. % 11.34/11.58 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H12b | zenon_intro zenon_H132 ]. % 11.34/11.58 apply (zenon_L90_); trivial. % 11.34/11.58 apply (zenon_L332_); trivial. % 11.34/11.58 (* end of lemma zenon_L336_ *) % 11.34/11.58 assert (zenon_L337_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> False). % 11.34/11.58 do 0 intro. intros zenon_H117 zenon_H38 zenon_H8d. % 11.34/11.58 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e1) (e3)))). % 11.34/11.58 intro zenon_D_pnotp. % 11.34/11.58 apply zenon_H117. % 11.34/11.58 rewrite <- zenon_D_pnotp. % 11.34/11.58 exact zenon_H38. % 11.34/11.58 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H240]. % 11.34/11.58 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.34/11.58 congruence. % 11.34/11.58 apply zenon_H3b. apply refl_equal. % 11.34/11.58 apply zenon_H240. apply sym_equal. exact zenon_H8d. % 11.34/11.58 (* end of lemma zenon_L337_ *) % 11.34/11.58 assert (zenon_L338_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.34/11.58 do 0 intro. intros zenon_H38 zenon_H129 zenon_H82. % 11.34/11.58 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.59 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H82. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H83. % 11.34/11.59 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.59 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 11.34/11.59 congruence. % 11.34/11.59 cut (((op (e0) (e3)) = (e0)) = ((e3) = (e0))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H85. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H38. % 11.34/11.59 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.59 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 11.34/11.59 congruence. % 11.34/11.59 exact (zenon_H12a zenon_H129). % 11.34/11.59 apply zenon_H1d. apply refl_equal. % 11.34/11.59 apply zenon_H84. apply refl_equal. % 11.34/11.59 apply zenon_H84. apply refl_equal. % 11.34/11.59 (* end of lemma zenon_L338_ *) % 11.34/11.59 assert (zenon_L339_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H120 zenon_H81 zenon_H55 zenon_H109 zenon_Hf8 zenon_Hce zenon_H8c. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H8d | zenon_intro zenon_H123 ]. % 11.34/11.59 apply (zenon_L31_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbe | zenon_intro zenon_H124 ]. % 11.34/11.59 apply (zenon_L265_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11a | zenon_intro zenon_Hc2 ]. % 11.34/11.59 apply (zenon_L203_); trivial. % 11.34/11.59 apply (zenon_L84_); trivial. % 11.34/11.59 (* end of lemma zenon_L339_ *) % 11.34/11.59 assert (zenon_L340_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H156 zenon_H8c zenon_Hce zenon_H109 zenon_H120 zenon_H46 zenon_H55 zenon_H68 zenon_H96 zenon_H81. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.34/11.59 apply (zenon_L339_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.34/11.59 apply (zenon_L20_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.34/11.59 apply (zenon_L245_); trivial. % 11.34/11.59 apply (zenon_L206_); trivial. % 11.34/11.59 (* end of lemma zenon_L340_ *) % 11.34/11.59 assert (zenon_L341_ : ((op (e1) (e2)) = (e1)) -> ((op (e1) (e2)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H55 zenon_Hc0 zenon_Ha8. % 11.34/11.59 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.59 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_Ha8. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H83. % 11.34/11.59 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.59 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hba]. % 11.34/11.59 congruence. % 11.34/11.59 cut (((op (e1) (e2)) = (e1)) = ((e3) = (e1))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_Hba. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H55. % 11.34/11.59 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.59 cut (((op (e1) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hc1]. % 11.34/11.59 congruence. % 11.34/11.59 exact (zenon_Hc1 zenon_Hc0). % 11.34/11.59 apply zenon_H29. apply refl_equal. % 11.34/11.59 apply zenon_H84. apply refl_equal. % 11.34/11.59 apply zenon_H84. apply refl_equal. % 11.34/11.59 (* end of lemma zenon_L341_ *) % 11.34/11.59 assert (zenon_L342_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False). % 11.34/11.59 do 0 intro. intros zenon_Hc4 zenon_Hce zenon_Hf8 zenon_H109 zenon_H120 zenon_Hd3 zenon_H87 zenon_Ha8 zenon_H55 zenon_H8c. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.34/11.59 apply (zenon_L339_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.34/11.59 apply (zenon_L117_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.34/11.59 apply (zenon_L341_); trivial. % 11.34/11.59 apply (zenon_L84_); trivial. % 11.34/11.59 (* end of lemma zenon_L342_ *) % 11.34/11.59 assert (zenon_L343_ : (((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) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.34/11.59 do 0 intro. intros zenon_Hc4 zenon_He8 zenon_Ha9 zenon_Hd3 zenon_H87 zenon_Ha8 zenon_H55 zenon_H8d zenon_H82. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.34/11.59 apply (zenon_L227_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.34/11.59 apply (zenon_L117_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.34/11.59 apply (zenon_L341_); trivial. % 11.34/11.59 apply (zenon_L256_); trivial. % 11.34/11.59 (* end of lemma zenon_L343_ *) % 11.34/11.59 assert (zenon_L344_ : ((op (e0) (e2)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((e3) = (op (op (e1) (e1)) (op (op (e1) (e1)) (e1))))) -> False). % 11.34/11.59 do 0 intro. intros zenon_Hfd zenon_H88 zenon_H5e zenon_H265. % 11.34/11.59 elim (classic ((op (op (e1) (e1)) (op (op (e1) (e1)) (e1))) = (op (op (e1) (e1)) (op (op (e1) (e1)) (e1))))); [ zenon_intro zenon_H21f | zenon_intro zenon_H220 ]. % 11.34/11.59 cut (((op (op (e1) (e1)) (op (op (e1) (e1)) (e1))) = (op (op (e1) (e1)) (op (op (e1) (e1)) (e1)))) = ((e3) = (op (op (e1) (e1)) (op (op (e1) (e1)) (e1))))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H265. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H21f. % 11.34/11.59 cut (((op (op (e1) (e1)) (op (op (e1) (e1)) (e1))) = (op (op (e1) (e1)) (op (op (e1) (e1)) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H220]. % 11.34/11.59 cut (((op (op (e1) (e1)) (op (op (e1) (e1)) (e1))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H266]. % 11.34/11.59 congruence. % 11.34/11.59 cut (((op (e0) (e2)) = (e3)) = ((op (op (e1) (e1)) (op (op (e1) (e1)) (e1))) = (e3))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H266. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_Hfd. % 11.34/11.59 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.59 cut (((op (e0) (e2)) = (op (op (e1) (e1)) (op (op (e1) (e1)) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H267]. % 11.34/11.59 congruence. % 11.34/11.59 elim (classic ((op (op (e1) (e1)) (op (op (e1) (e1)) (e1))) = (op (op (e1) (e1)) (op (op (e1) (e1)) (e1))))); [ zenon_intro zenon_H21f | zenon_intro zenon_H220 ]. % 11.34/11.59 cut (((op (op (e1) (e1)) (op (op (e1) (e1)) (e1))) = (op (op (e1) (e1)) (op (op (e1) (e1)) (e1)))) = ((op (e0) (e2)) = (op (op (e1) (e1)) (op (op (e1) (e1)) (e1))))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H267. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H21f. % 11.34/11.59 cut (((op (op (e1) (e1)) (op (op (e1) (e1)) (e1))) = (op (op (e1) (e1)) (op (op (e1) (e1)) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H220]. % 11.34/11.59 cut (((op (op (e1) (e1)) (op (op (e1) (e1)) (e1))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H268]. % 11.34/11.59 congruence. % 11.34/11.59 cut (((op (op (e1) (e1)) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H269]. % 11.34/11.59 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hb8]. % 11.34/11.59 congruence. % 11.34/11.59 exact (zenon_Hb8 zenon_H88). % 11.34/11.59 cut (((op (e0) (e1)) = (e2)) = ((op (op (e1) (e1)) (e1)) = (e2))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H269. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H5e. % 11.34/11.59 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.59 cut (((op (e0) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H225]. % 11.34/11.59 congruence. % 11.34/11.59 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H226 | zenon_intro zenon_H227 ]. % 11.34/11.59 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((op (e0) (e1)) = (op (op (e1) (e1)) (e1)))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H225. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H226. % 11.34/11.59 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H227]. % 11.34/11.59 cut (((op (op (e1) (e1)) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21d]. % 11.34/11.59 congruence. % 11.34/11.59 apply (zenon_L230_); trivial. % 11.34/11.59 apply zenon_H227. apply refl_equal. % 11.34/11.59 apply zenon_H227. apply refl_equal. % 11.34/11.59 apply zenon_H61. apply refl_equal. % 11.34/11.59 apply zenon_H220. apply refl_equal. % 11.34/11.59 apply zenon_H220. apply refl_equal. % 11.34/11.59 apply zenon_H84. apply refl_equal. % 11.34/11.59 apply zenon_H220. apply refl_equal. % 11.34/11.59 apply zenon_H220. apply refl_equal. % 11.34/11.59 (* end of lemma zenon_L344_ *) % 11.34/11.59 assert (zenon_L345_ : ((op (e0) (e2)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> False). % 11.34/11.59 do 0 intro. intros zenon_Hfd zenon_H88 zenon_H5e. % 11.34/11.59 apply (zenon_notand_s _ _ ax14); [ zenon_intro zenon_H26b | zenon_intro zenon_H26a ]. % 11.34/11.59 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H226 | zenon_intro zenon_H227 ]. % 11.34/11.59 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((e2) = (op (op (e1) (e1)) (e1)))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H26b. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H226. % 11.34/11.59 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H227]. % 11.34/11.59 cut (((op (op (e1) (e1)) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H269]. % 11.34/11.59 congruence. % 11.34/11.59 cut (((op (e0) (e1)) = (e2)) = ((op (op (e1) (e1)) (e1)) = (e2))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H269. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H5e. % 11.34/11.59 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.59 cut (((op (e0) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H225]. % 11.34/11.59 congruence. % 11.34/11.59 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H226 | zenon_intro zenon_H227 ]. % 11.34/11.59 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((op (e0) (e1)) = (op (op (e1) (e1)) (e1)))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H225. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H226. % 11.34/11.59 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H227]. % 11.34/11.59 cut (((op (op (e1) (e1)) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21d]. % 11.34/11.59 congruence. % 11.34/11.59 apply (zenon_L230_); trivial. % 11.34/11.59 apply zenon_H227. apply refl_equal. % 11.34/11.59 apply zenon_H227. apply refl_equal. % 11.34/11.59 apply zenon_H61. apply refl_equal. % 11.34/11.59 apply zenon_H227. apply refl_equal. % 11.34/11.59 apply zenon_H227. apply refl_equal. % 11.34/11.59 apply (zenon_notand_s _ _ zenon_H26a); [ zenon_intro zenon_H89 | zenon_intro zenon_H265 ]. % 11.34/11.59 apply zenon_H89. apply sym_equal. exact zenon_H88. % 11.34/11.59 apply (zenon_L344_); trivial. % 11.34/11.59 (* end of lemma zenon_L345_ *) % 11.34/11.59 assert (zenon_L346_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.34/11.59 do 0 intro. intros zenon_Hc7 zenon_H5f zenon_Hf8 zenon_H5e zenon_Hfd zenon_H3f zenon_H55 zenon_H117 zenon_H38. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.34/11.59 apply (zenon_L196_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.34/11.59 apply (zenon_L345_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.34/11.59 apply (zenon_L29_); trivial. % 11.34/11.59 apply (zenon_L337_); trivial. % 11.34/11.59 (* end of lemma zenon_L346_ *) % 11.34/11.59 assert (zenon_L347_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H24e zenon_Hfe zenon_Hfd zenon_H55 zenon_H68 zenon_H69 zenon_H1e0 zenon_H1bf. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.34/11.59 apply (zenon_L75_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.34/11.59 apply (zenon_L245_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.34/11.59 apply (zenon_L317_); trivial. % 11.34/11.59 apply (zenon_L164_); trivial. % 11.34/11.59 (* end of lemma zenon_L347_ *) % 11.34/11.59 assert (zenon_L348_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H38 zenon_Ha2 zenon_H3f. % 11.34/11.59 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H40 | zenon_intro zenon_H29 ]. % 11.34/11.59 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H3f. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H40. % 11.34/11.59 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.59 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 11.34/11.59 congruence. % 11.34/11.59 cut (((op (e0) (e3)) = (e0)) = ((e1) = (e0))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H41. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H38. % 11.34/11.59 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.59 cut (((op (e0) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H26c]. % 11.34/11.59 congruence. % 11.34/11.59 exact (zenon_H26c zenon_Ha2). % 11.34/11.59 apply zenon_H1d. apply refl_equal. % 11.34/11.59 apply zenon_H29. apply refl_equal. % 11.34/11.59 apply zenon_H29. apply refl_equal. % 11.34/11.59 (* end of lemma zenon_L348_ *) % 11.34/11.59 assert (zenon_L349_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3)))))))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> False). % 11.34/11.59 do 0 intro. intros zenon_Hca zenon_H1b7. % 11.34/11.59 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbe. zenon_intro zenon_Hcb. % 11.34/11.59 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_H9a. zenon_intro zenon_H4c. % 11.34/11.59 apply (zenon_L161_); trivial. % 11.34/11.59 (* end of lemma zenon_L349_ *) % 11.34/11.59 assert (zenon_L350_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H1f zenon_H96 zenon_H3f. % 11.34/11.59 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H40 | zenon_intro zenon_H29 ]. % 11.34/11.59 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H3f. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H40. % 11.34/11.59 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.59 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 11.34/11.59 congruence. % 11.34/11.59 cut (((op (e0) (e0)) = (e0)) = ((e1) = (e0))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H41. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H1f. % 11.34/11.59 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.59 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H200]. % 11.34/11.59 congruence. % 11.34/11.59 exact (zenon_H200 zenon_H96). % 11.34/11.59 apply zenon_H1d. apply refl_equal. % 11.34/11.59 apply zenon_H29. apply refl_equal. % 11.34/11.59 apply zenon_H29. apply refl_equal. % 11.34/11.59 (* end of lemma zenon_L350_ *) % 11.34/11.59 assert (zenon_L351_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H1f zenon_H6d zenon_H82. % 11.34/11.59 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.59 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H82. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H83. % 11.34/11.59 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.59 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 11.34/11.59 congruence. % 11.34/11.59 cut (((op (e0) (e0)) = (e0)) = ((e3) = (e0))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H85. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H1f. % 11.34/11.59 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.59 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 11.34/11.59 congruence. % 11.34/11.59 exact (zenon_H6e zenon_H6d). % 11.34/11.59 apply zenon_H1d. apply refl_equal. % 11.34/11.59 apply zenon_H84. apply refl_equal. % 11.34/11.59 apply zenon_H84. apply refl_equal. % 11.34/11.59 (* end of lemma zenon_L351_ *) % 11.34/11.59 assert (zenon_L352_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H26d zenon_H82 zenon_Hfe zenon_Ha8 zenon_H1f zenon_H1c8 zenon_Hf0 zenon_H68 zenon_H38 zenon_H3f. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.34/11.59 apply (zenon_L350_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.34/11.59 apply (zenon_L351_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.34/11.59 apply (zenon_L243_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.34/11.59 apply (zenon_L75_); trivial. % 11.34/11.59 apply (zenon_L338_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.34/11.59 apply (zenon_L71_); trivial. % 11.34/11.59 apply (zenon_L348_); trivial. % 11.34/11.59 (* end of lemma zenon_L352_ *) % 11.34/11.59 assert (zenon_L353_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H157 zenon_Hfe zenon_Hec zenon_H82 zenon_H13b zenon_Hc0 zenon_H111 zenon_H149. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.34/11.59 apply (zenon_L93_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.34/11.59 apply (zenon_L95_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.34/11.59 apply (zenon_L80_); trivial. % 11.34/11.59 apply (zenon_L100_); trivial. % 11.34/11.59 (* end of lemma zenon_L353_ *) % 11.34/11.59 assert (zenon_L354_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H1a3 zenon_H38 zenon_H144. % 11.34/11.59 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e2) (e3)))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H1a3. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H38. % 11.34/11.59 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H145]. % 11.34/11.59 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.34/11.59 congruence. % 11.34/11.59 apply zenon_H3b. apply refl_equal. % 11.34/11.59 apply zenon_H145. apply sym_equal. exact zenon_H144. % 11.34/11.59 (* end of lemma zenon_L354_ *) % 11.34/11.59 assert (zenon_L355_ : ((op (e3) (e0)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False). % 11.34/11.59 do 0 intro. intros zenon_Ha9 zenon_H93 zenon_H125. % 11.34/11.59 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_He9 | zenon_intro zenon_Hcd ]. % 11.34/11.59 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e2) (e0)) = (op (e3) (e0)))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H125. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_He9. % 11.34/11.59 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.59 cut (((op (e3) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H197]. % 11.34/11.59 congruence. % 11.34/11.59 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e2) (e0)))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H197. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_Ha9. % 11.34/11.59 cut (((e3) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H270]. % 11.34/11.59 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.59 congruence. % 11.34/11.59 apply zenon_Hcd. apply refl_equal. % 11.34/11.59 apply zenon_H270. apply sym_equal. exact zenon_H93. % 11.34/11.59 apply zenon_Hcd. apply refl_equal. % 11.34/11.59 apply zenon_Hcd. apply refl_equal. % 11.34/11.59 (* end of lemma zenon_L355_ *) % 11.34/11.59 assert (zenon_L356_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e1)) -> False). % 11.34/11.59 do 0 intro. intros zenon_Ha5 zenon_Ha9 zenon_Ha8 zenon_H1b7 zenon_H55 zenon_H9d zenon_H246 zenon_H17b. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.34/11.59 apply (zenon_L38_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.34/11.59 apply (zenon_L161_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.34/11.59 apply (zenon_L35_); trivial. % 11.34/11.59 apply (zenon_L293_); trivial. % 11.34/11.59 (* end of lemma zenon_L356_ *) % 11.34/11.59 assert (zenon_L357_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H17d zenon_Hec zenon_H68 zenon_Hf3 zenon_H111 zenon_Ha5 zenon_Ha9 zenon_Ha8 zenon_H1b7 zenon_H55 zenon_H9d zenon_H246. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.34/11.59 apply (zenon_L68_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.34/11.59 apply (zenon_L73_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.34/11.59 apply (zenon_L120_); trivial. % 11.34/11.59 apply (zenon_L356_); trivial. % 11.34/11.59 (* end of lemma zenon_L357_ *) % 11.34/11.59 assert (zenon_L358_ : (((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 (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H247 zenon_H38 zenon_H1a3 zenon_H5c zenon_H186 zenon_H69 zenon_H192 zenon_H149. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H144 | zenon_intro zenon_H248 ]. % 11.34/11.59 apply (zenon_L354_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H17b | zenon_intro zenon_H249 ]. % 11.34/11.59 apply (zenon_L129_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H167 | zenon_intro zenon_H12b ]. % 11.34/11.59 apply (zenon_L134_); trivial. % 11.34/11.59 apply (zenon_L100_); trivial. % 11.34/11.59 (* end of lemma zenon_L358_ *) % 11.34/11.59 assert (zenon_L359_ : (((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) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e3)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H18f zenon_H13b zenon_H186 zenon_H69 zenon_Hb2 zenon_H17b zenon_Hd8. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H5b | zenon_intro zenon_H190 ]. % 11.34/11.59 apply (zenon_L329_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H5c | zenon_intro zenon_H191 ]. % 11.34/11.59 apply (zenon_L129_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hec | zenon_intro zenon_H93 ]. % 11.34/11.59 apply (zenon_L236_); trivial. % 11.34/11.59 apply (zenon_L131_); trivial. % 11.34/11.59 (* end of lemma zenon_L359_ *) % 11.34/11.59 assert (zenon_L360_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((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) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e2)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H17d zenon_H149 zenon_H192 zenon_H1a3 zenon_H38 zenon_H247 zenon_H68 zenon_H140 zenon_H18f zenon_H13b zenon_H186 zenon_H69 zenon_Hb2 zenon_Hd8. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.34/11.59 apply (zenon_L358_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.34/11.59 apply (zenon_L22_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.34/11.59 apply (zenon_L239_); trivial. % 11.34/11.59 apply (zenon_L359_); trivial. % 11.34/11.59 (* end of lemma zenon_L360_ *) % 11.34/11.59 assert (zenon_L361_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (op (e2) (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). % 11.34/11.59 do 0 intro. intros zenon_H146 zenon_Hb2 zenon_H68 zenon_Hd8 zenon_H140 zenon_H186 zenon_H135 zenon_H18f zenon_H69 zenon_Hf3 zenon_H247 zenon_H192 zenon_H149 zenon_H17d zenon_H1a3 zenon_H38. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.34/11.59 apply (zenon_L94_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.34/11.59 apply (zenon_L360_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.34/11.59 apply (zenon_L358_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.34/11.59 apply (zenon_L73_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.34/11.59 apply (zenon_L239_); trivial. % 11.34/11.59 apply (zenon_L132_); trivial. % 11.34/11.59 apply (zenon_L354_); trivial. % 11.34/11.59 (* end of lemma zenon_L361_ *) % 11.34/11.59 assert (zenon_L362_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H38 zenon_H1a4 zenon_H5f. % 11.34/11.59 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.34/11.59 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H5f. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H60. % 11.34/11.59 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.59 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 11.34/11.59 congruence. % 11.34/11.59 cut (((op (e0) (e3)) = (e0)) = ((e2) = (e0))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H62. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H38. % 11.34/11.59 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.34/11.59 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1a5]. % 11.34/11.59 congruence. % 11.34/11.59 exact (zenon_H1a5 zenon_H1a4). % 11.34/11.59 apply zenon_H1d. apply refl_equal. % 11.34/11.59 apply zenon_H61. apply refl_equal. % 11.34/11.59 apply zenon_H61. apply refl_equal. % 11.34/11.59 (* end of lemma zenon_L362_ *) % 11.34/11.59 assert (zenon_L363_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (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) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H1a6 zenon_H1a3 zenon_H17d zenon_H149 zenon_H192 zenon_H247 zenon_Hf3 zenon_H18f zenon_H135 zenon_H186 zenon_H140 zenon_H68 zenon_Hb2 zenon_H146 zenon_Hae zenon_H69 zenon_H53 zenon_H10c zenon_H38 zenon_H5f. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.34/11.59 apply (zenon_L361_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.34/11.59 apply (zenon_L198_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.34/11.59 apply (zenon_L92_); trivial. % 11.34/11.59 apply (zenon_L362_); trivial. % 11.34/11.59 (* end of lemma zenon_L363_ *) % 11.34/11.59 assert (zenon_L364_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3)))))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H239 zenon_H1bf. % 11.34/11.59 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H167. zenon_intro zenon_H23a. % 11.34/11.59 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H103. zenon_intro zenon_H15e. % 11.34/11.59 apply (zenon_L164_); trivial. % 11.34/11.59 (* end of lemma zenon_L364_ *) % 11.34/11.59 assert (zenon_L365_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H271 zenon_H38 zenon_H82. % 11.34/11.59 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_Ha9. zenon_intro zenon_H272. % 11.34/11.59 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_H129. zenon_intro zenon_H1be. % 11.34/11.59 apply (zenon_L338_); trivial. % 11.34/11.59 (* end of lemma zenon_L365_ *) % 11.34/11.59 assert (zenon_L366_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.34/11.59 do 0 intro. intros zenon_Ha5 zenon_H96 zenon_H95 zenon_Ha8 zenon_Hfd zenon_H53 zenon_H65 zenon_H10d zenon_H9d zenon_H58 zenon_H2b zenon_H114 zenon_H1b0 zenon_He2. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.34/11.59 apply (zenon_L33_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.34/11.59 apply (zenon_L63_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H8a | zenon_intro zenon_H115 ]. % 11.34/11.59 apply (zenon_L302_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H55 | zenon_intro zenon_H116 ]. % 11.34/11.59 apply (zenon_L35_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H10c | zenon_intro zenon_Hc0 ]. % 11.34/11.59 apply (zenon_L79_); trivial. % 11.34/11.59 apply (zenon_L125_); trivial. % 11.34/11.59 apply (zenon_L314_); trivial. % 11.34/11.59 (* end of lemma zenon_L366_ *) % 11.34/11.59 assert (zenon_L367_ : (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e2)) -> False). % 11.34/11.59 do 0 intro. intros zenon_Hfe zenon_He2 zenon_H6f. % 11.34/11.59 cut (((op (e3) (e1)) = (e3)) = ((e2) = (e3))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_Hfe. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_He2. % 11.34/11.59 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.59 cut (((op (e3) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H102]. % 11.34/11.59 congruence. % 11.34/11.59 exact (zenon_H102 zenon_H6f). % 11.34/11.59 apply zenon_H84. apply refl_equal. % 11.34/11.59 (* end of lemma zenon_L367_ *) % 11.34/11.59 assert (zenon_L368_ : ((op (e2) (e3)) = (e2)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H167 zenon_H160 zenon_H273. % 11.34/11.59 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H12d | zenon_intro zenon_H12e ]. % 11.34/11.59 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e2)) = (op (e2) (e3)))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H273. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H12d. % 11.34/11.59 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12e]. % 11.34/11.59 cut (((op (e2) (e3)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 11.34/11.59 congruence. % 11.34/11.59 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e2) (e2)))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H274. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H167. % 11.34/11.59 cut (((e2) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H24d]. % 11.34/11.59 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12e]. % 11.34/11.59 congruence. % 11.34/11.59 apply zenon_H12e. apply refl_equal. % 11.34/11.59 apply zenon_H24d. apply sym_equal. exact zenon_H160. % 11.34/11.59 apply zenon_H12e. apply refl_equal. % 11.34/11.59 apply zenon_H12e. apply refl_equal. % 11.34/11.59 (* end of lemma zenon_L368_ *) % 11.34/11.59 assert (zenon_L369_ : ((op (e2) (e3)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H12b zenon_H93 zenon_H186. % 11.34/11.59 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H12d | zenon_intro zenon_H12e ]. % 11.34/11.59 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e0)) = (op (e2) (e3)))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H186. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H12d. % 11.34/11.59 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12e]. % 11.34/11.59 cut (((op (e2) (e3)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H275]. % 11.34/11.59 congruence. % 11.34/11.59 cut (((op (e2) (e3)) = (e3)) = ((op (e2) (e3)) = (op (e2) (e0)))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H275. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H12b. % 11.34/11.59 cut (((e3) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H270]. % 11.34/11.59 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H12e]. % 11.34/11.59 congruence. % 11.34/11.59 apply zenon_H12e. apply refl_equal. % 11.34/11.59 apply zenon_H270. apply sym_equal. exact zenon_H93. % 11.34/11.59 apply zenon_H12e. apply refl_equal. % 11.34/11.59 apply zenon_H12e. apply refl_equal. % 11.34/11.59 (* end of lemma zenon_L369_ *) % 11.34/11.59 assert (zenon_L370_ : (((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 (e3) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H247 zenon_H38 zenon_H1a3 zenon_Ha3 zenon_H246 zenon_H273 zenon_H160 zenon_H93 zenon_H186. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H144 | zenon_intro zenon_H248 ]. % 11.34/11.59 apply (zenon_L354_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H17b | zenon_intro zenon_H249 ]. % 11.34/11.59 apply (zenon_L293_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H167 | zenon_intro zenon_H12b ]. % 11.34/11.59 apply (zenon_L368_); trivial. % 11.34/11.59 apply (zenon_L369_); trivial. % 11.34/11.59 (* end of lemma zenon_L370_ *) % 11.34/11.59 assert (zenon_L371_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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 (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False). % 11.34/11.59 do 0 intro. intros zenon_Ha5 zenon_H96 zenon_H95 zenon_H1b7 zenon_H55 zenon_H9d zenon_H247 zenon_H38 zenon_H1a3 zenon_H246 zenon_H273 zenon_H160 zenon_H93 zenon_H186. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.34/11.59 apply (zenon_L33_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.34/11.59 apply (zenon_L161_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.34/11.59 apply (zenon_L35_); trivial. % 11.34/11.59 apply (zenon_L370_); trivial. % 11.34/11.59 (* end of lemma zenon_L371_ *) % 11.34/11.59 assert (zenon_L372_ : (((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 (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H114 zenon_H2b zenon_H58 zenon_H186 zenon_H93 zenon_H160 zenon_H273 zenon_H246 zenon_H1a3 zenon_H38 zenon_H247 zenon_H9d zenon_H1b7 zenon_H95 zenon_H96 zenon_Ha5 zenon_H11a zenon_H109 zenon_H53 zenon_Hfd. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H8a | zenon_intro zenon_H115 ]. % 11.34/11.59 apply (zenon_L302_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H55 | zenon_intro zenon_H116 ]. % 11.34/11.59 apply (zenon_L371_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H10c | zenon_intro zenon_Hc0 ]. % 11.34/11.59 apply (zenon_L286_); trivial. % 11.34/11.59 apply (zenon_L125_); trivial. % 11.34/11.59 (* end of lemma zenon_L372_ *) % 11.34/11.59 assert (zenon_L373_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H24a zenon_H3f zenon_H38 zenon_Ha8 zenon_Hc2 zenon_H167 zenon_H68 zenon_H1b0 zenon_He2. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.34/11.59 apply (zenon_L348_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.34/11.59 apply (zenon_L51_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.34/11.59 apply (zenon_L121_); trivial. % 11.34/11.59 apply (zenon_L314_); trivial. % 11.34/11.59 (* end of lemma zenon_L373_ *) % 11.34/11.59 assert (zenon_L374_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H276 zenon_Hfe zenon_Hae zenon_H5e zenon_Hfd zenon_H53 zenon_H109 zenon_H11a zenon_Ha5 zenon_H96 zenon_H95 zenon_H1b7 zenon_H9d zenon_H247 zenon_H1a3 zenon_H246 zenon_H273 zenon_H93 zenon_H186 zenon_H58 zenon_H2b zenon_H114 zenon_H24a zenon_H3f zenon_H38 zenon_Ha8 zenon_Hc2 zenon_H68 zenon_H1b0 zenon_He2. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.34/11.59 apply (zenon_L93_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.34/11.59 apply (zenon_L198_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.34/11.59 apply (zenon_L372_); trivial. % 11.34/11.59 apply (zenon_L373_); trivial. % 11.34/11.59 (* end of lemma zenon_L374_ *) % 11.34/11.59 assert (zenon_L375_ : ((op (e3) (e1)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.34/11.59 do 0 intro. intros zenon_He2 zenon_Ha9 zenon_Hcc. % 11.34/11.59 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H173 | zenon_intro zenon_H174 ]. % 11.34/11.59 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e3) (e0)) = (op (e3) (e1)))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_Hcc. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H173. % 11.34/11.59 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 11.34/11.59 cut (((op (e3) (e1)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H279]. % 11.34/11.59 congruence. % 11.34/11.59 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e3) (e0)))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H279. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_He2. % 11.34/11.59 cut (((e3) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1d0]. % 11.34/11.59 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 11.34/11.59 congruence. % 11.34/11.59 apply zenon_H174. apply refl_equal. % 11.34/11.59 apply zenon_H1d0. apply sym_equal. exact zenon_Ha9. % 11.34/11.59 apply zenon_H174. apply refl_equal. % 11.34/11.59 apply zenon_H174. apply refl_equal. % 11.34/11.59 (* end of lemma zenon_L375_ *) % 11.34/11.59 assert (zenon_L376_ : (((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) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H262 zenon_Ha8 zenon_H96 zenon_H82 zenon_H2b zenon_Hfe zenon_Hec zenon_He2 zenon_Hcc. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.34/11.59 apply (zenon_L195_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.34/11.59 apply (zenon_L27_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.34/11.59 apply (zenon_L93_); trivial. % 11.34/11.59 apply (zenon_L375_); trivial. % 11.34/11.59 (* end of lemma zenon_L376_ *) % 11.34/11.59 assert (zenon_L377_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H156 zenon_He8 zenon_Hed zenon_H5e zenon_H87 zenon_H8a zenon_H5f zenon_H96 zenon_H81. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.34/11.59 apply (zenon_L311_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.34/11.59 apply (zenon_L202_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.34/11.59 apply (zenon_L208_); trivial. % 11.34/11.59 apply (zenon_L206_); trivial. % 11.34/11.59 (* end of lemma zenon_L377_ *) % 11.34/11.59 assert (zenon_L378_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.34/11.59 do 0 intro. intros zenon_Hc7 zenon_Hfd zenon_H81 zenon_H96 zenon_H5f zenon_H87 zenon_H5e zenon_Hed zenon_He8 zenon_H156 zenon_Hc2 zenon_H82. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.34/11.59 apply (zenon_L27_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.34/11.59 apply (zenon_L345_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.34/11.59 apply (zenon_L377_); trivial. % 11.34/11.59 apply (zenon_L256_); trivial. % 11.34/11.59 (* end of lemma zenon_L378_ *) % 11.34/11.59 assert (zenon_L379_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e0)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H24e zenon_Hfe zenon_Hfd zenon_H11a zenon_H109 zenon_Hec zenon_H22e zenon_H5f zenon_H1ac. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.34/11.59 apply (zenon_L75_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.34/11.59 apply (zenon_L286_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.34/11.59 apply (zenon_L300_); trivial. % 11.34/11.59 apply (zenon_L303_); trivial. % 11.34/11.59 (* end of lemma zenon_L379_ *) % 11.34/11.59 assert (zenon_L380_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e0)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H24e zenon_Hfe zenon_Hfd zenon_H11a zenon_H109 zenon_H69 zenon_H1e0 zenon_H5f zenon_H1ac. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.34/11.59 apply (zenon_L75_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.34/11.59 apply (zenon_L286_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.34/11.59 apply (zenon_L317_); trivial. % 11.34/11.59 apply (zenon_L303_); trivial. % 11.34/11.59 (* end of lemma zenon_L380_ *) % 11.34/11.59 assert (zenon_L381_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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 (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e1)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H276 zenon_H22e zenon_H1ac zenon_H5f zenon_H1e0 zenon_Hfe zenon_H24e zenon_Hfd zenon_H53 zenon_H109 zenon_H11a zenon_Ha5 zenon_H96 zenon_H95 zenon_H1b7 zenon_H9d zenon_H247 zenon_H38 zenon_H1a3 zenon_H246 zenon_H273 zenon_H93 zenon_H186 zenon_H58 zenon_H2b zenon_H114 zenon_H68 zenon_H17b. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.34/11.59 apply (zenon_L379_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.34/11.59 apply (zenon_L380_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.34/11.59 apply (zenon_L372_); trivial. % 11.34/11.59 apply (zenon_L121_); trivial. % 11.34/11.59 (* end of lemma zenon_L381_ *) % 11.34/11.59 assert (zenon_L382_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((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 (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H243 zenon_H17b zenon_H68 zenon_H114 zenon_H2b zenon_H58 zenon_H186 zenon_H93 zenon_H246 zenon_H1a3 zenon_H38 zenon_H247 zenon_H9d zenon_H1b7 zenon_H95 zenon_H96 zenon_Ha5 zenon_H109 zenon_H53 zenon_Hfd zenon_H24e zenon_Hfe zenon_H1e0 zenon_H5f zenon_H1ac zenon_H22e zenon_H276 zenon_H273 zenon_H160 zenon_H169 zenon_Hed. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H244 ]. % 11.34/11.59 apply (zenon_L362_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H11a | zenon_intro zenon_H245 ]. % 11.34/11.59 apply (zenon_L381_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H167 | zenon_intro zenon_H11b ]. % 11.34/11.59 apply (zenon_L368_); trivial. % 11.34/11.59 apply (zenon_L287_); trivial. % 11.34/11.59 (* end of lemma zenon_L382_ *) % 11.34/11.59 assert (zenon_L383_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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 (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H24a zenon_H3f zenon_H241 zenon_H44 zenon_Hed zenon_H169 zenon_H160 zenon_H273 zenon_H276 zenon_H22e zenon_H1ac zenon_H5f zenon_H1e0 zenon_Hfe zenon_H24e zenon_Hfd zenon_H53 zenon_H109 zenon_Ha5 zenon_H96 zenon_H95 zenon_H1b7 zenon_H9d zenon_H247 zenon_H38 zenon_H1a3 zenon_H246 zenon_H93 zenon_H186 zenon_H58 zenon_H2b zenon_H114 zenon_H68 zenon_H243 zenon_H1b0 zenon_He2. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.34/11.59 apply (zenon_L348_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.34/11.59 apply (zenon_L285_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.34/11.59 apply (zenon_L382_); trivial. % 11.34/11.59 apply (zenon_L314_); trivial. % 11.34/11.59 (* end of lemma zenon_L383_ *) % 11.34/11.59 assert (zenon_L384_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H1ce zenon_H70 zenon_H9e. % 11.34/11.59 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e3) (e2)))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H1ce. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H70. % 11.34/11.59 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9f]. % 11.34/11.59 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.34/11.59 congruence. % 11.34/11.59 apply zenon_Hcd. apply refl_equal. % 11.34/11.59 apply zenon_H9f. apply sym_equal. exact zenon_H9e. % 11.34/11.59 (* end of lemma zenon_L384_ *) % 11.34/11.59 assert (zenon_L385_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H1d1 zenon_H16a zenon_H9e zenon_H1ce zenon_H11b zenon_H169 zenon_He2 zenon_Hcc. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1d2 ]. % 11.34/11.59 apply (zenon_L110_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H70 | zenon_intro zenon_H1d3 ]. % 11.34/11.59 apply (zenon_L384_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_Hed | zenon_intro zenon_Ha9 ]. % 11.34/11.59 apply (zenon_L287_); trivial. % 11.34/11.59 apply (zenon_L375_); trivial. % 11.34/11.59 (* end of lemma zenon_L385_ *) % 11.34/11.59 assert (zenon_L386_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (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) (e3)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H236 zenon_Hcc zenon_H169 zenon_H1ce zenon_H9e zenon_H16a zenon_H1d1 zenon_H11b zenon_H1b0. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H237 ]. % 11.34/11.59 apply (zenon_L158_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_He2 | zenon_intro zenon_H238 ]. % 11.34/11.59 apply (zenon_L385_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H127 | zenon_intro zenon_H132 ]. % 11.34/11.59 apply (zenon_L166_); trivial. % 11.34/11.59 apply (zenon_L187_); trivial. % 11.34/11.59 (* end of lemma zenon_L386_ *) % 11.34/11.59 assert (zenon_L387_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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 (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (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) (e3)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H243 zenon_H5f zenon_Hfd zenon_H53 zenon_H109 zenon_Ha5 zenon_H96 zenon_H95 zenon_H1b7 zenon_H9d zenon_H247 zenon_H38 zenon_H1a3 zenon_H246 zenon_H93 zenon_H186 zenon_H58 zenon_H2b zenon_H114 zenon_H273 zenon_H160 zenon_H236 zenon_Hcc zenon_H169 zenon_H1ce zenon_H9e zenon_H16a zenon_H1d1 zenon_H1b0. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H244 ]. % 11.34/11.59 apply (zenon_L362_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H11a | zenon_intro zenon_H245 ]. % 11.34/11.59 apply (zenon_L372_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H167 | zenon_intro zenon_H11b ]. % 11.34/11.59 apply (zenon_L368_); trivial. % 11.34/11.59 apply (zenon_L386_); trivial. % 11.34/11.59 (* end of lemma zenon_L387_ *) % 11.34/11.59 assert (zenon_L388_ : (~((e1) = (e2))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (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 (e3) (op (e3) (e1))) = (e1))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (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 (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H68 zenon_Hed zenon_He2 zenon_Ha8 zenon_H1b0 zenon_H1d1 zenon_H16a zenon_H1ce zenon_H169 zenon_Hcc zenon_H236 zenon_H114 zenon_H2b zenon_H58 zenon_H9d zenon_H1b7 zenon_H95 zenon_H96 zenon_Ha5 zenon_H109 zenon_H53 zenon_Hfd zenon_H5f zenon_H243 zenon_H247 zenon_H38 zenon_H1a3 zenon_H246 zenon_H273 zenon_H160 zenon_H93 zenon_H186. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.34/11.59 apply (zenon_L163_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.34/11.59 apply (zenon_L63_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.34/11.59 apply (zenon_L387_); trivial. % 11.34/11.59 apply (zenon_L370_); trivial. % 11.34/11.59 (* end of lemma zenon_L388_ *) % 11.34/11.59 assert (zenon_L389_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H1c8 zenon_H6e zenon_H172 zenon_He2 zenon_Hfe zenon_Hf0 zenon_H38 zenon_H82. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.34/11.59 exact (zenon_H6e zenon_H6d). % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.34/11.59 apply (zenon_L309_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.34/11.59 apply (zenon_L75_); trivial. % 11.34/11.59 apply (zenon_L338_); trivial. % 11.34/11.59 (* end of lemma zenon_L389_ *) % 11.34/11.59 assert (zenon_L390_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H1bc zenon_Hbe zenon_Ha8. % 11.34/11.59 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_He2. zenon_intro zenon_H1bd. % 11.34/11.59 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_Hc2. zenon_intro zenon_H1be. % 11.34/11.59 apply (zenon_L51_); trivial. % 11.34/11.59 (* end of lemma zenon_L390_ *) % 11.34/11.59 assert (zenon_L391_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H1bc zenon_Ha9 zenon_Hcc. % 11.34/11.59 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_He2. zenon_intro zenon_H1bd. % 11.34/11.59 apply (zenon_L375_); trivial. % 11.34/11.59 (* end of lemma zenon_L391_ *) % 11.34/11.59 assert (zenon_L392_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H54 zenon_Hfd zenon_Ha8. % 11.34/11.59 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.34/11.59 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_Ha8. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H83. % 11.34/11.59 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.59 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hba]. % 11.34/11.59 congruence. % 11.34/11.59 cut (((op (e0) (e2)) = (e1)) = ((e3) = (e1))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_Hba. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H54. % 11.34/11.59 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.59 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H100]. % 11.34/11.59 congruence. % 11.34/11.59 exact (zenon_H100 zenon_Hfd). % 11.34/11.59 apply zenon_H29. apply refl_equal. % 11.34/11.59 apply zenon_H84. apply refl_equal. % 11.34/11.59 apply zenon_H84. apply refl_equal. % 11.34/11.59 (* end of lemma zenon_L392_ *) % 11.34/11.59 assert (zenon_L393_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H1c8 zenon_H6e zenon_H172 zenon_He2 zenon_Ha8 zenon_H54 zenon_Hc2 zenon_H117. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.34/11.59 exact (zenon_H6e zenon_H6d). % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.34/11.59 apply (zenon_L309_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.34/11.59 apply (zenon_L392_); trivial. % 11.34/11.59 apply (zenon_L226_); trivial. % 11.34/11.59 (* end of lemma zenon_L393_ *) % 11.34/11.59 assert (zenon_L394_ : (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H192 zenon_H6a zenon_H17b. % 11.34/11.59 cut (((op (e2) (e1)) = (e1)) = ((op (e2) (e1)) = (op (e2) (e3)))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H192. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H6a. % 11.34/11.59 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H187]. % 11.34/11.59 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 11.34/11.59 congruence. % 11.34/11.59 apply zenon_H9c. apply refl_equal. % 11.34/11.59 apply zenon_H187. apply sym_equal. exact zenon_H17b. % 11.34/11.59 (* end of lemma zenon_L394_ *) % 11.34/11.59 assert (zenon_L395_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H1fc zenon_H5b zenon_Hb2 zenon_H17b zenon_H192 zenon_H160 zenon_H1e0 zenon_He2 zenon_H99. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H13b | zenon_intro zenon_H1fd ]. % 11.34/11.59 apply (zenon_L329_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H6a | zenon_intro zenon_H1fe ]. % 11.34/11.59 apply (zenon_L394_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H69 | zenon_intro zenon_Hda ]. % 11.34/11.59 apply (zenon_L317_); trivial. % 11.34/11.59 apply (zenon_L276_); trivial. % 11.34/11.59 (* end of lemma zenon_L395_ *) % 11.34/11.59 assert (zenon_L396_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H276 zenon_H5f zenon_H1f8 zenon_H65 zenon_H1fc zenon_H5b zenon_Hb2 zenon_H192 zenon_H1e0 zenon_H99 zenon_H1bc zenon_H24a zenon_H3f zenon_H38 zenon_Ha8 zenon_Hc2 zenon_H68 zenon_H1b0 zenon_He2. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.34/11.59 apply (zenon_L70_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.34/11.59 apply (zenon_L312_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.34/11.59 apply (zenon_L348_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.34/11.59 apply (zenon_L390_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.34/11.59 apply (zenon_L395_); trivial. % 11.34/11.59 apply (zenon_L314_); trivial. % 11.34/11.59 apply (zenon_L373_); trivial. % 11.34/11.59 (* end of lemma zenon_L396_ *) % 11.34/11.59 assert (zenon_L397_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H22e zenon_H5b zenon_H13e. % 11.34/11.59 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e2)))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H22e. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H5b. % 11.34/11.59 cut (((e0) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H181]. % 11.34/11.59 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 11.34/11.59 congruence. % 11.34/11.59 apply zenon_Hfa. apply refl_equal. % 11.34/11.59 apply zenon_H181. apply sym_equal. exact zenon_H13e. % 11.34/11.59 (* end of lemma zenon_L397_ *) % 11.34/11.59 assert (zenon_L398_ : (((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)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H176 zenon_H39 zenon_H38 zenon_Hae zenon_H6a zenon_H88 zenon_Hfd zenon_He2 zenon_H172. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33 | zenon_intro zenon_H177 ]. % 11.34/11.59 apply (zenon_L9_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H3e | zenon_intro zenon_H178 ]. % 11.34/11.59 apply (zenon_L40_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H5e | zenon_intro zenon_Hd3 ]. % 11.34/11.59 apply (zenon_L345_); trivial. % 11.34/11.59 apply (zenon_L309_); trivial. % 11.34/11.59 (* end of lemma zenon_L398_ *) % 11.34/11.59 assert (zenon_L399_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e0)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H24e zenon_H1f3 zenon_Hd8 zenon_H10d zenon_H65 zenon_Hec zenon_H22e zenon_H5f zenon_H1ac. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.34/11.59 apply (zenon_L278_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.34/11.59 apply (zenon_L79_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.34/11.59 apply (zenon_L300_); trivial. % 11.34/11.59 apply (zenon_L303_); trivial. % 11.34/11.59 (* end of lemma zenon_L399_ *) % 11.34/11.59 assert (zenon_L400_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H276 zenon_H1ac zenon_H5f zenon_H22e zenon_H65 zenon_H10d zenon_Hd8 zenon_H1f3 zenon_H1bf zenon_H55 zenon_Hfd zenon_Hfe zenon_H24e zenon_H99 zenon_H1e0 zenon_H192 zenon_H17b zenon_Hb2 zenon_H5b zenon_H1fc zenon_H24a zenon_H3f zenon_H38 zenon_Ha8 zenon_Hc2 zenon_H68 zenon_H1b0 zenon_He2. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.34/11.59 apply (zenon_L399_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.34/11.59 apply (zenon_L347_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.34/11.59 apply (zenon_L395_); trivial. % 11.34/11.59 apply (zenon_L373_); trivial. % 11.34/11.59 (* end of lemma zenon_L400_ *) % 11.34/11.59 assert (zenon_L401_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (((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)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H252 zenon_H82 zenon_H17d zenon_H172 zenon_H88 zenon_Hae zenon_H39 zenon_H176 zenon_H111 zenon_H276 zenon_H5f zenon_H22e zenon_H65 zenon_H10d zenon_Hd8 zenon_H1f3 zenon_H1bf zenon_H55 zenon_Hfd zenon_Hfe zenon_H24e zenon_H99 zenon_H1e0 zenon_H192 zenon_Hb2 zenon_H5b zenon_H1fc zenon_H24a zenon_H3f zenon_H38 zenon_Ha8 zenon_Hc2 zenon_H68 zenon_H1b0 zenon_He2. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.34/11.59 apply (zenon_L201_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.34/11.59 apply (zenon_L29_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.34/11.59 apply (zenon_L397_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.34/11.59 apply (zenon_L17_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.34/11.59 apply (zenon_L398_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.34/11.59 apply (zenon_L120_); trivial. % 11.34/11.59 apply (zenon_L400_); trivial. % 11.34/11.59 (* end of lemma zenon_L401_ *) % 11.34/11.59 assert (zenon_L402_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H156 zenon_Hc7 zenon_H117 zenon_H7e zenon_He2 zenon_H1b0 zenon_Hc2 zenon_Ha8 zenon_H38 zenon_H3f zenon_H24a zenon_H1fc zenon_H5b zenon_Hb2 zenon_H192 zenon_H1e0 zenon_H99 zenon_H24e zenon_Hfe zenon_Hfd zenon_H1bf zenon_H1f3 zenon_Hd8 zenon_H10d zenon_H22e zenon_H5f zenon_H276 zenon_H111 zenon_H176 zenon_H39 zenon_Hae zenon_H88 zenon_H172 zenon_H17d zenon_H82 zenon_H252 zenon_H55 zenon_H68 zenon_H96 zenon_H81. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.34/11.59 apply (zenon_L346_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.34/11.59 apply (zenon_L401_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.34/11.59 apply (zenon_L347_); trivial. % 11.34/11.59 apply (zenon_L367_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.34/11.59 apply (zenon_L401_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.34/11.59 apply (zenon_L245_); trivial. % 11.34/11.59 apply (zenon_L206_); trivial. % 11.34/11.59 (* end of lemma zenon_L402_ *) % 11.34/11.59 assert (zenon_L403_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (((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)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> ((op (e0) (e2)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> (~((e1) = (e3))) -> False). % 11.34/11.59 do 0 intro. intros zenon_He5 zenon_H3e zenon_H87 zenon_H81 zenon_H96 zenon_H68 zenon_H252 zenon_H82 zenon_H17d zenon_H172 zenon_H88 zenon_Hae zenon_H39 zenon_H176 zenon_H111 zenon_H276 zenon_H5f zenon_H22e zenon_H10d zenon_Hd8 zenon_H1f3 zenon_H1bf zenon_Hfd zenon_Hfe zenon_H24e zenon_H99 zenon_H1e0 zenon_H192 zenon_Hb2 zenon_H5b zenon_H1fc zenon_H24a zenon_H3f zenon_H38 zenon_Hc2 zenon_H1b0 zenon_He2 zenon_H7e zenon_H117 zenon_Hc7 zenon_H156 zenon_H1bc zenon_Ha8. % 11.34/11.59 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.34/11.59 apply (zenon_L47_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.34/11.59 apply (zenon_L263_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.34/11.59 apply (zenon_L402_); trivial. % 11.34/11.59 apply (zenon_L390_); trivial. % 11.34/11.59 (* end of lemma zenon_L403_ *) % 11.34/11.59 assert (zenon_L404_ : (~((e1) = (e3))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False). % 11.34/11.59 do 0 intro. intros zenon_Ha8 zenon_H1bc zenon_H156 zenon_Hc7 zenon_H117 zenon_H7e zenon_H1b0 zenon_Hc2 zenon_H38 zenon_H3f zenon_H24a zenon_H1fc zenon_H5b zenon_Hb2 zenon_H192 zenon_H1e0 zenon_H99 zenon_H24e zenon_Hfe zenon_Hfd zenon_H1bf zenon_H1f3 zenon_Hd8 zenon_H10d zenon_H22e zenon_H5f zenon_H276 zenon_H111 zenon_H176 zenon_H39 zenon_H88 zenon_H17d zenon_H82 zenon_H252 zenon_H68 zenon_H96 zenon_H81 zenon_H87 zenon_He5 zenon_Hae zenon_H69 zenon_He2 zenon_H172. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33 | zenon_intro zenon_H177 ]. % 11.34/11.59 apply (zenon_L9_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H3e | zenon_intro zenon_H178 ]. % 11.34/11.59 apply (zenon_L403_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H5e | zenon_intro zenon_Hd3 ]. % 11.34/11.59 apply (zenon_L198_); trivial. % 11.34/11.59 apply (zenon_L309_); trivial. % 11.34/11.59 (* end of lemma zenon_L404_ *) % 11.34/11.59 assert (zenon_L405_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H20f zenon_H5f zenon_H5e zenon_Hfd zenon_H5b zenon_Hb2 zenon_H82 zenon_He2. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.34/11.59 apply (zenon_L18_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.34/11.59 apply (zenon_L345_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.34/11.59 apply (zenon_L329_); trivial. % 11.34/11.59 apply (zenon_L322_); trivial. % 11.34/11.59 (* end of lemma zenon_L405_ *) % 11.34/11.59 assert (zenon_L406_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H20f zenon_H3f zenon_H3e zenon_H10d zenon_H8a zenon_H5b zenon_Hb2 zenon_H82 zenon_He2. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.34/11.59 apply (zenon_L10_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.34/11.59 apply (zenon_L213_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.34/11.59 apply (zenon_L329_); trivial. % 11.34/11.59 apply (zenon_L322_); trivial. % 11.34/11.59 (* end of lemma zenon_L406_ *) % 11.34/11.59 assert (zenon_L407_ : (((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 (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H1c8 zenon_Ha8 zenon_H96 zenon_H172 zenon_He2 zenon_Hfe zenon_Hf0 zenon_H38 zenon_H82. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.34/11.59 apply (zenon_L195_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.34/11.59 apply (zenon_L309_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.34/11.59 apply (zenon_L75_); trivial. % 11.34/11.59 apply (zenon_L338_); trivial. % 11.34/11.59 (* end of lemma zenon_L407_ *) % 11.34/11.59 assert (zenon_L408_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (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 (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H252 zenon_H1de zenon_H82 zenon_H20f zenon_H17d zenon_H125 zenon_H70 zenon_Hae zenon_H3e zenon_H111 zenon_H276 zenon_H5f zenon_H22e zenon_H65 zenon_H10d zenon_Hd8 zenon_H1f3 zenon_H1bf zenon_H55 zenon_Hfd zenon_Hfe zenon_H24e zenon_H99 zenon_H1e0 zenon_H192 zenon_Hb2 zenon_H5b zenon_H1fc zenon_H24a zenon_H3f zenon_H38 zenon_Ha8 zenon_Hc2 zenon_H68 zenon_H1b0 zenon_He2. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.34/11.59 apply (zenon_L191_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.34/11.59 apply (zenon_L406_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.34/11.59 apply (zenon_L397_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.34/11.59 apply (zenon_L150_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.34/11.59 apply (zenon_L40_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.34/11.59 apply (zenon_L120_); trivial. % 11.34/11.59 apply (zenon_L400_); trivial. % 11.34/11.59 (* end of lemma zenon_L408_ *) % 11.34/11.59 assert (zenon_L409_ : (((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)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H11f zenon_H68 zenon_H70 zenon_He2 zenon_Hfe zenon_H1ac zenon_H5f zenon_H119 zenon_H11a. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.34/11.59 apply (zenon_L163_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.34/11.59 apply (zenon_L367_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.34/11.59 apply (zenon_L303_); trivial. % 11.34/11.59 apply (zenon_L83_); trivial. % 11.34/11.59 (* end of lemma zenon_L409_ *) % 11.34/11.59 assert (zenon_L410_ : (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e0)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H82 zenon_H127 zenon_H1ac. % 11.34/11.59 cut (((op (e3) (e2)) = (e3)) = ((e0) = (e3))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H82. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H127. % 11.34/11.59 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.34/11.59 cut (((op (e3) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H251]. % 11.34/11.59 congruence. % 11.34/11.59 exact (zenon_H251 zenon_H1ac). % 11.34/11.59 apply zenon_H84. apply refl_equal. % 11.34/11.59 (* end of lemma zenon_L410_ *) % 11.34/11.59 assert (zenon_L411_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H252 zenon_H38 zenon_H1de zenon_H10d zenon_H88 zenon_H5b zenon_H22e zenon_H82 zenon_H127. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.34/11.59 apply (zenon_L191_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.34/11.59 apply (zenon_L213_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.34/11.59 apply (zenon_L397_); trivial. % 11.34/11.59 apply (zenon_L410_); trivial. % 11.34/11.59 (* end of lemma zenon_L411_ *) % 11.34/11.59 assert (zenon_L412_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H11f zenon_H81 zenon_H96 zenon_H8a zenon_H87 zenon_H5e zenon_He8 zenon_H156 zenon_H5f zenon_H1aa zenon_Hfe zenon_H1b0 zenon_H127. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.34/11.59 apply (zenon_L377_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.34/11.59 apply (zenon_L292_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.34/11.59 apply (zenon_L87_); trivial. % 11.34/11.59 apply (zenon_L166_); trivial. % 11.34/11.59 (* end of lemma zenon_L412_ *) % 11.34/11.59 assert (zenon_L413_ : (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H131 zenon_H103 zenon_H11b. % 11.34/11.59 cut (((op (e3) (e2)) = (e2)) = ((op (e3) (e2)) = (op (e3) (e3)))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H131. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H103. % 11.34/11.59 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11c]. % 11.34/11.59 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 11.34/11.59 congruence. % 11.34/11.59 apply zenon_H106. apply refl_equal. % 11.34/11.59 apply zenon_H11c. apply sym_equal. exact zenon_H11b. % 11.34/11.59 (* end of lemma zenon_L413_ *) % 11.34/11.59 assert (zenon_L414_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H243 zenon_H5f zenon_H38 zenon_H81 zenon_H96 zenon_Hec zenon_H186 zenon_H131 zenon_H103. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H244 ]. % 11.34/11.59 apply (zenon_L362_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H11a | zenon_intro zenon_H245 ]. % 11.34/11.59 apply (zenon_L206_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H167 | zenon_intro zenon_H11b ]. % 11.34/11.59 apply (zenon_L146_); trivial. % 11.34/11.59 apply (zenon_L413_); trivial. % 11.34/11.59 (* end of lemma zenon_L414_ *) % 11.34/11.59 assert (zenon_L415_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H24e zenon_H1f3 zenon_Hd8 zenon_H8a zenon_H22e zenon_H243 zenon_H5f zenon_H38 zenon_H81 zenon_H96 zenon_Hec zenon_H186 zenon_H131. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.34/11.59 apply (zenon_L278_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.34/11.59 apply (zenon_L208_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.34/11.59 apply (zenon_L300_); trivial. % 11.34/11.59 apply (zenon_L414_); trivial. % 11.34/11.59 (* end of lemma zenon_L415_ *) % 11.34/11.59 assert (zenon_L416_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H11f zenon_H169 zenon_H160 zenon_H273 zenon_H96 zenon_H81 zenon_H38 zenon_H243 zenon_H5f zenon_H1aa zenon_H1bf zenon_H1b0 zenon_H127. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H244 ]. % 11.34/11.59 apply (zenon_L362_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H11a | zenon_intro zenon_H245 ]. % 11.34/11.59 apply (zenon_L206_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H167 | zenon_intro zenon_H11b ]. % 11.34/11.59 apply (zenon_L368_); trivial. % 11.34/11.59 apply (zenon_L287_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.34/11.59 apply (zenon_L292_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.34/11.59 apply (zenon_L164_); trivial. % 11.34/11.59 apply (zenon_L166_); trivial. % 11.34/11.59 (* end of lemma zenon_L416_ *) % 11.34/11.59 assert (zenon_L417_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H24e zenon_H1f3 zenon_Hd8 zenon_H10d zenon_H65 zenon_H273 zenon_H167 zenon_H1bf. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.34/11.59 apply (zenon_L278_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.34/11.59 apply (zenon_L79_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.34/11.59 apply (zenon_L368_); trivial. % 11.34/11.59 apply (zenon_L164_); trivial. % 11.34/11.59 (* end of lemma zenon_L417_ *) % 11.34/11.59 assert (zenon_L418_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> (~((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)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H276 zenon_H131 zenon_H186 zenon_H22e zenon_H8a zenon_H1f8 zenon_H127 zenon_H1b0 zenon_H1aa zenon_H5f zenon_H243 zenon_H38 zenon_H81 zenon_H96 zenon_H169 zenon_H11f zenon_H24e zenon_H1f3 zenon_Hd8 zenon_H10d zenon_H65 zenon_H273 zenon_H1bf. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.34/11.59 apply (zenon_L415_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.34/11.59 apply (zenon_L312_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.34/11.59 apply (zenon_L416_); trivial. % 11.34/11.59 apply (zenon_L417_); trivial. % 11.34/11.59 (* end of lemma zenon_L418_ *) % 11.34/11.59 assert (zenon_L419_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H252 zenon_H38 zenon_H1de zenon_H10c zenon_H5f zenon_H5b zenon_H22e zenon_H82 zenon_H127. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.34/11.59 apply (zenon_L191_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.34/11.59 apply (zenon_L208_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.34/11.59 apply (zenon_L397_); trivial. % 11.34/11.59 apply (zenon_L410_); trivial. % 11.34/11.59 (* end of lemma zenon_L419_ *) % 11.34/11.59 assert (zenon_L420_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H243 zenon_H5f zenon_H38 zenon_Hf8 zenon_Hce zenon_H69 zenon_H192 zenon_H131 zenon_H103. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H244 ]. % 11.34/11.59 apply (zenon_L362_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H11a | zenon_intro zenon_H245 ]. % 11.34/11.59 apply (zenon_L203_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H167 | zenon_intro zenon_H11b ]. % 11.34/11.59 apply (zenon_L134_); trivial. % 11.34/11.59 apply (zenon_L413_); trivial. % 11.34/11.59 (* end of lemma zenon_L420_ *) % 11.34/11.59 assert (zenon_L421_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((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 (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H1da zenon_H1e4 zenon_H5f zenon_H82 zenon_Ha5 zenon_H96 zenon_H95 zenon_H68 zenon_Ha8 zenon_H1d1 zenon_H169 zenon_H6f zenon_Hcc zenon_H127 zenon_H1ce. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.34/11.59 apply (zenon_L185_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.34/11.59 apply (zenon_L292_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.34/11.59 apply (zenon_L410_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.34/11.59 apply (zenon_L33_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.34/11.59 apply (zenon_L76_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.34/11.59 apply (zenon_L170_); trivial. % 11.34/11.59 apply (zenon_L175_); trivial. % 11.34/11.59 (* end of lemma zenon_L421_ *) % 11.34/11.59 assert (zenon_L422_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H25c zenon_Ha9 zenon_H1ce. % 11.34/11.59 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H127. zenon_intro zenon_H25d. % 11.34/11.59 apply (zenon_L174_); trivial. % 11.34/11.59 (* end of lemma zenon_L422_ *) % 11.34/11.59 assert (zenon_L423_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H252 zenon_Hf0 zenon_H5f zenon_H10d zenon_H88 zenon_H5b zenon_H22e zenon_H82 zenon_H127. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.34/11.59 apply (zenon_L229_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.34/11.59 apply (zenon_L213_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.34/11.59 apply (zenon_L397_); trivial. % 11.34/11.59 apply (zenon_L410_); trivial. % 11.34/11.59 (* end of lemma zenon_L423_ *) % 11.34/11.59 assert (zenon_L424_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e2) (e2)) = (e2)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H180 zenon_Hf0 zenon_H160. % 11.34/11.59 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e2) (e2)))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H180. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_Hf0. % 11.34/11.59 cut (((e2) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H24d]. % 11.34/11.59 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 11.34/11.59 congruence. % 11.34/11.59 apply zenon_H57. apply refl_equal. % 11.34/11.59 apply zenon_H24d. apply sym_equal. exact zenon_H160. % 11.34/11.59 (* end of lemma zenon_L424_ *) % 11.34/11.59 assert (zenon_L425_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H25c zenon_H167 zenon_Hfe. % 11.34/11.59 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H127. zenon_intro zenon_H25d. % 11.34/11.59 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H12b. zenon_intro zenon_H1be. % 11.34/11.59 apply (zenon_L138_); trivial. % 11.34/11.59 (* end of lemma zenon_L425_ *) % 11.34/11.59 assert (zenon_L426_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> (~((e2) = (e3))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H276 zenon_H5f zenon_H5b zenon_H1f8 zenon_H65 zenon_Hf0 zenon_H180 zenon_H25c zenon_Hfe. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.34/11.59 apply (zenon_L70_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.34/11.59 apply (zenon_L312_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.34/11.59 apply (zenon_L424_); trivial. % 11.34/11.59 apply (zenon_L425_); trivial. % 11.34/11.59 (* end of lemma zenon_L426_ *) % 11.34/11.59 assert (zenon_L427_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> False). % 11.34/11.59 do 0 intro. intros zenon_H156 zenon_He8 zenon_Hed zenon_Hfe zenon_H25c zenon_H180 zenon_H1f8 zenon_H5b zenon_H5f zenon_H276 zenon_H53 zenon_Hf0 zenon_H96 zenon_H81. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.34/11.59 apply (zenon_L311_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.34/11.59 apply (zenon_L426_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.34/11.59 apply (zenon_L92_); trivial. % 11.34/11.59 apply (zenon_L206_); trivial. % 11.34/11.59 (* end of lemma zenon_L427_ *) % 11.34/11.59 assert (zenon_L428_ : (((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)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.34/11.59 do 0 intro. intros zenon_H1c8 zenon_H6e zenon_Ha8 zenon_H3e zenon_H104 zenon_H127 zenon_H12b zenon_H1a3. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.34/11.59 exact (zenon_H6e zenon_H6d). % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.34/11.59 apply (zenon_L243_); trivial. % 11.34/11.59 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.34/11.59 apply (zenon_L168_); trivial. % 11.34/11.59 apply (zenon_L160_); trivial. % 11.34/11.59 (* end of lemma zenon_L428_ *) % 11.34/11.59 assert (zenon_L429_ : ((op (e2) (e0)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> False). % 11.34/11.59 do 0 intro. intros zenon_Hec zenon_Hd8 zenon_H27a. % 11.34/11.59 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfa ]. % 11.34/11.59 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e0) (e0)) = (op (e2) (e0)))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H27a. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_Hf9. % 11.34/11.59 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 11.34/11.59 cut (((op (e2) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H27b]. % 11.34/11.59 congruence. % 11.34/11.59 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e0) (e0)))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H27b. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_Hec. % 11.34/11.59 cut (((e2) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_He1]. % 11.34/11.59 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 11.34/11.59 congruence. % 11.34/11.59 apply zenon_Hfa. apply refl_equal. % 11.34/11.59 apply zenon_He1. apply sym_equal. exact zenon_Hd8. % 11.34/11.59 apply zenon_Hfa. apply refl_equal. % 11.34/11.59 apply zenon_Hfa. apply refl_equal. % 11.34/11.59 (* end of lemma zenon_L429_ *) % 11.34/11.59 assert (zenon_L430_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.34/11.59 do 0 intro. intros zenon_Hbe zenon_H11a zenon_H68. % 11.34/11.59 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.34/11.59 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H68. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_H60. % 11.34/11.59 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.34/11.59 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 11.34/11.59 congruence. % 11.34/11.59 cut (((op (e1) (e3)) = (e1)) = ((e2) = (e1))). % 11.34/11.59 intro zenon_D_pnotp. % 11.34/11.59 apply zenon_H101. % 11.34/11.59 rewrite <- zenon_D_pnotp. % 11.34/11.59 exact zenon_Hbe. % 11.34/11.59 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.34/11.59 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H155]. % 11.34/11.60 congruence. % 11.34/11.60 exact (zenon_H155 zenon_H11a). % 11.34/11.60 apply zenon_H29. apply refl_equal. % 11.34/11.60 apply zenon_H61. apply refl_equal. % 11.34/11.60 apply zenon_H61. apply refl_equal. % 11.34/11.60 (* end of lemma zenon_L430_ *) % 11.34/11.60 assert (zenon_L431_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> False). % 11.34/11.60 do 0 intro. intros zenon_H243 zenon_H5f zenon_H38 zenon_H68 zenon_Hbe zenon_Hfe zenon_H12b zenon_H131 zenon_H103. % 11.34/11.60 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H244 ]. % 11.34/11.60 apply (zenon_L362_); trivial. % 11.34/11.60 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H11a | zenon_intro zenon_H245 ]. % 11.34/11.60 apply (zenon_L430_); trivial. % 11.34/11.60 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H167 | zenon_intro zenon_H11b ]. % 11.34/11.60 apply (zenon_L138_); trivial. % 11.34/11.60 apply (zenon_L413_); trivial. % 11.34/11.60 (* end of lemma zenon_L431_ *) % 11.34/11.60 assert (zenon_L432_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.34/11.60 do 0 intro. intros zenon_H11f zenon_H70 zenon_H1aa zenon_H131 zenon_H12b zenon_Hfe zenon_Hbe zenon_H68 zenon_H38 zenon_H5f zenon_H243 zenon_H1b0 zenon_H127. % 11.34/11.60 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.34/11.60 apply (zenon_L163_); trivial. % 11.34/11.60 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.34/11.60 apply (zenon_L292_); trivial. % 11.34/11.60 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.34/11.60 apply (zenon_L431_); trivial. % 11.34/11.60 apply (zenon_L166_); trivial. % 11.34/11.60 (* end of lemma zenon_L432_ *) % 11.34/11.60 assert (zenon_L433_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.34/11.60 do 0 intro. intros zenon_Ha5 zenon_H1b0 zenon_H243 zenon_H5f zenon_H38 zenon_H68 zenon_Hfe zenon_H12b zenon_H131 zenon_H1aa zenon_H11f zenon_H1b7 zenon_H127 zenon_Ha8 zenon_H119 zenon_Hbe. % 11.34/11.60 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.34/11.60 apply (zenon_L432_); trivial. % 11.34/11.60 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.34/11.60 apply (zenon_L161_); trivial. % 11.34/11.60 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.34/11.60 apply (zenon_L170_); trivial. % 11.34/11.60 apply (zenon_L296_); trivial. % 11.34/11.60 (* end of lemma zenon_L433_ *) % 11.34/11.60 assert (zenon_L434_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False). % 11.34/11.60 do 0 intro. intros zenon_H1fc zenon_H5b zenon_Hb2 zenon_H17b zenon_H192 zenon_H160 zenon_H1e0 zenon_Hae zenon_Hd3. % 11.34/11.60 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H13b | zenon_intro zenon_H1fd ]. % 11.34/11.60 apply (zenon_L329_); trivial. % 11.34/11.60 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H6a | zenon_intro zenon_H1fe ]. % 11.34/11.60 apply (zenon_L394_); trivial. % 11.34/11.60 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H69 | zenon_intro zenon_Hda ]. % 11.34/11.60 apply (zenon_L317_); trivial. % 11.34/11.60 apply (zenon_L199_); trivial. % 11.34/11.60 (* end of lemma zenon_L434_ *) % 11.34/11.60 assert (zenon_L435_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False). % 11.34/11.60 do 0 intro. intros zenon_H24e zenon_H1f3 zenon_Hd8 zenon_H8a zenon_H5f zenon_H273 zenon_H167 zenon_H1bf. % 11.34/11.60 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.34/11.60 apply (zenon_L278_); trivial. % 11.34/11.60 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.34/11.60 apply (zenon_L208_); trivial. % 11.34/11.60 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.34/11.60 apply (zenon_L368_); trivial. % 11.34/11.60 apply (zenon_L164_); trivial. % 11.34/11.60 (* end of lemma zenon_L435_ *) % 11.34/11.60 assert (zenon_L436_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.34/11.60 do 0 intro. intros zenon_H11f zenon_H68 zenon_H70 zenon_H5e zenon_H172 zenon_Hfe zenon_H1b0 zenon_H127. % 11.34/11.60 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.34/11.60 apply (zenon_L163_); trivial. % 11.34/11.60 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.34/11.60 apply (zenon_L289_); trivial. % 11.34/11.60 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.34/11.60 apply (zenon_L87_); trivial. % 11.34/11.60 apply (zenon_L166_); trivial. % 11.44/11.60 (* end of lemma zenon_L436_ *) % 11.44/11.60 assert (zenon_L437_ : (~((op (e0) (op (e0) (e1))) = (e1))) -> ((op (e0) (e1)) = (e1)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H27c zenon_H3e. % 11.44/11.60 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (op (e0) (e1))) = (e1))). % 11.44/11.60 intro zenon_D_pnotp. % 11.44/11.60 apply zenon_H27c. % 11.44/11.60 rewrite <- zenon_D_pnotp. % 11.44/11.60 exact zenon_H3e. % 11.44/11.60 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.44/11.60 cut (((op (e0) (e1)) = (op (e0) (op (e0) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H27d]. % 11.44/11.60 congruence. % 11.44/11.60 elim (classic ((op (e0) (op (e0) (e1))) = (op (e0) (op (e0) (e1))))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ]. % 11.44/11.60 cut (((op (e0) (op (e0) (e1))) = (op (e0) (op (e0) (e1)))) = ((op (e0) (e1)) = (op (e0) (op (e0) (e1))))). % 11.44/11.60 intro zenon_D_pnotp. % 11.44/11.60 apply zenon_H27d. % 11.44/11.60 rewrite <- zenon_D_pnotp. % 11.44/11.60 exact zenon_H27e. % 11.44/11.60 cut (((op (e0) (op (e0) (e1))) = (op (e0) (op (e0) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H27f]. % 11.44/11.60 cut (((op (e0) (op (e0) (e1))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H280]. % 11.44/11.60 congruence. % 11.44/11.60 cut (((op (e0) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 11.44/11.60 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.44/11.60 congruence. % 11.44/11.60 apply zenon_H1d. apply refl_equal. % 11.44/11.60 exact (zenon_H42 zenon_H3e). % 11.44/11.60 apply zenon_H27f. apply refl_equal. % 11.44/11.60 apply zenon_H27f. apply refl_equal. % 11.44/11.60 apply zenon_H29. apply refl_equal. % 11.44/11.60 (* end of lemma zenon_L437_ *) % 11.44/11.60 assert (zenon_L438_ : (~((op (e0) (op (e0) (e0))) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H281 zenon_Hd8. % 11.44/11.60 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hd9]. % 11.44/11.60 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.44/11.60 congruence. % 11.44/11.60 apply zenon_H1d. apply refl_equal. % 11.44/11.60 exact (zenon_Hd9 zenon_Hd8). % 11.44/11.60 (* end of lemma zenon_L438_ *) % 11.44/11.60 assert (zenon_L439_ : (~((op (e0) (op (e0) (e0))) = (e0))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H21 zenon_H35 zenon_Hd8. % 11.44/11.60 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (op (e0) (e0))) = (e0))). % 11.44/11.60 intro zenon_D_pnotp. % 11.44/11.60 apply zenon_H21. % 11.44/11.60 rewrite <- zenon_D_pnotp. % 11.44/11.60 exact zenon_H35. % 11.44/11.60 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.44/11.60 cut (((op (e0) (e2)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H282]. % 11.44/11.60 congruence. % 11.44/11.60 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 11.44/11.60 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e2)) = (op (e0) (op (e0) (e0))))). % 11.44/11.60 intro zenon_D_pnotp. % 11.44/11.60 apply zenon_H282. % 11.44/11.60 rewrite <- zenon_D_pnotp. % 11.44/11.60 exact zenon_H23. % 11.44/11.60 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 11.44/11.60 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H281]. % 11.44/11.60 congruence. % 11.44/11.60 apply (zenon_L438_); trivial. % 11.44/11.60 apply zenon_H24. apply refl_equal. % 11.44/11.60 apply zenon_H24. apply refl_equal. % 11.44/11.60 apply zenon_H1d. apply refl_equal. % 11.44/11.60 (* end of lemma zenon_L439_ *) % 11.44/11.60 assert (zenon_L440_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3)))))))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H1f0 zenon_Hec zenon_H5f. % 11.44/11.60 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H35. zenon_intro zenon_H1f1. % 11.44/11.60 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H5b. zenon_intro zenon_H27. % 11.44/11.60 apply (zenon_L70_); trivial. % 11.44/11.60 (* end of lemma zenon_L440_ *) % 11.44/11.60 assert (zenon_L441_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H1a6 zenon_H35 zenon_H21 zenon_Hae zenon_H69 zenon_H53 zenon_H10c zenon_Ha2 zenon_H68. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.60 apply (zenon_L439_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.60 apply (zenon_L198_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.60 apply (zenon_L92_); trivial. % 11.44/11.60 apply (zenon_L152_); trivial. % 11.44/11.60 (* end of lemma zenon_L441_ *) % 11.44/11.60 assert (zenon_L442_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H183 zenon_H1ac zenon_H104 zenon_H179 zenon_H180 zenon_H10c zenon_H53 zenon_Hc0. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H35 | zenon_intro zenon_H184 ]. % 11.44/11.60 apply (zenon_L308_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H54 | zenon_intro zenon_H185 ]. % 11.44/11.60 apply (zenon_L124_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfd ]. % 11.44/11.60 apply (zenon_L92_); trivial. % 11.44/11.60 apply (zenon_L125_); trivial. % 11.44/11.60 (* end of lemma zenon_L442_ *) % 11.44/11.60 assert (zenon_L443_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H283 zenon_H53 zenon_H10c zenon_H180 zenon_H179 zenon_H104 zenon_H183 zenon_H6d zenon_H1ce zenon_Hed zenon_Hc0 zenon_H9d. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H1ac | zenon_intro zenon_H284 ]. % 11.44/11.60 apply (zenon_L442_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H9e | zenon_intro zenon_H285 ]. % 11.44/11.60 apply (zenon_L248_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H103 | zenon_intro zenon_H127 ]. % 11.44/11.60 apply (zenon_L271_); trivial. % 11.44/11.60 apply (zenon_L179_); trivial. % 11.44/11.60 (* end of lemma zenon_L443_ *) % 11.44/11.60 assert (zenon_L444_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (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)) = (e1)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H17d zenon_H3f zenon_H5b zenon_Ha8 zenon_Hda zenon_H9d zenon_Hc0 zenon_Hed zenon_H1ce zenon_H6d zenon_H183 zenon_H104 zenon_H180 zenon_H10c zenon_H53 zenon_H283 zenon_H1a3 zenon_Ha2. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.44/11.60 apply (zenon_L17_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.44/11.60 apply (zenon_L128_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.44/11.60 apply (zenon_L443_); trivial. % 11.44/11.60 apply (zenon_L324_); trivial. % 11.44/11.60 (* end of lemma zenon_L444_ *) % 11.44/11.60 assert (zenon_L445_ : (((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) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H232 zenon_Ha8 zenon_Ha2 zenon_H82 zenon_H8d zenon_Hfe zenon_H167 zenon_H169 zenon_Ha9. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H129 | zenon_intro zenon_H233 ]. % 11.44/11.60 apply (zenon_L88_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H234 ]. % 11.44/11.60 apply (zenon_L256_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H12b | zenon_intro zenon_H132 ]. % 11.44/11.60 apply (zenon_L138_); trivial. % 11.44/11.60 apply (zenon_L332_); trivial. % 11.44/11.60 (* end of lemma zenon_L445_ *) % 11.44/11.60 assert (zenon_L446_ : ((op (e3) (e2)) = (e3)) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H127 zenon_H112 zenon_H286. % 11.44/11.60 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ]. % 11.44/11.60 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e2) (e2)) = (op (e3) (e2)))). % 11.44/11.60 intro zenon_D_pnotp. % 11.44/11.60 apply zenon_H286. % 11.44/11.60 rewrite <- zenon_D_pnotp. % 11.44/11.60 exact zenon_H105. % 11.44/11.60 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 11.44/11.60 cut (((op (e3) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H287]. % 11.44/11.60 congruence. % 11.44/11.60 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e2) (e2)))). % 11.44/11.60 intro zenon_D_pnotp. % 11.44/11.60 apply zenon_H287. % 11.44/11.60 rewrite <- zenon_D_pnotp. % 11.44/11.60 exact zenon_H127. % 11.44/11.60 cut (((e3) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H113]. % 11.44/11.60 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 11.44/11.60 congruence. % 11.44/11.60 apply zenon_H106. apply refl_equal. % 11.44/11.60 apply zenon_H113. apply sym_equal. exact zenon_H112. % 11.44/11.60 apply zenon_H106. apply refl_equal. % 11.44/11.60 apply zenon_H106. apply refl_equal. % 11.44/11.60 (* end of lemma zenon_L446_ *) % 11.44/11.60 assert (zenon_L447_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e0)) -> (~((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 (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (((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)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H236 zenon_H169 zenon_H167 zenon_Hfe zenon_H8d zenon_H82 zenon_Ha2 zenon_Ha8 zenon_H232 zenon_H20a zenon_Hbc zenon_H286 zenon_H112 zenon_H283 zenon_H35 zenon_H104 zenon_H9a zenon_H1d4 zenon_H1ce zenon_Hed zenon_H131. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H237 ]. % 11.44/11.60 apply (zenon_L445_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_He2 | zenon_intro zenon_H238 ]. % 11.44/11.60 apply (zenon_L216_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H127 | zenon_intro zenon_H132 ]. % 11.44/11.60 apply (zenon_L446_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H1ac | zenon_intro zenon_H284 ]. % 11.44/11.60 apply (zenon_L308_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H9e | zenon_intro zenon_H285 ]. % 11.44/11.60 apply (zenon_L259_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H103 | zenon_intro zenon_H127 ]. % 11.44/11.60 apply (zenon_L271_); trivial. % 11.44/11.60 apply (zenon_L91_); trivial. % 11.44/11.60 (* end of lemma zenon_L447_ *) % 11.44/11.60 assert (zenon_L448_ : (~((op (e0) (op (e0) (e3))) = (e3))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H288 zenon_H129. % 11.44/11.60 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (op (e0) (e3))) = (e3))). % 11.44/11.60 intro zenon_D_pnotp. % 11.44/11.60 apply zenon_H288. % 11.44/11.60 rewrite <- zenon_D_pnotp. % 11.44/11.60 exact zenon_H129. % 11.44/11.60 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.44/11.60 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H289]. % 11.44/11.60 congruence. % 11.44/11.60 elim (classic ((op (e0) (op (e0) (e3))) = (op (e0) (op (e0) (e3))))); [ zenon_intro zenon_H28a | zenon_intro zenon_H28b ]. % 11.44/11.60 cut (((op (e0) (op (e0) (e3))) = (op (e0) (op (e0) (e3)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e3))))). % 11.44/11.60 intro zenon_D_pnotp. % 11.44/11.60 apply zenon_H289. % 11.44/11.60 rewrite <- zenon_D_pnotp. % 11.44/11.60 exact zenon_H28a. % 11.44/11.60 cut (((op (e0) (op (e0) (e3))) = (op (e0) (op (e0) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H28b]. % 11.44/11.60 cut (((op (e0) (op (e0) (e3))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H28c]. % 11.44/11.60 congruence. % 11.44/11.60 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 11.44/11.60 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.44/11.60 congruence. % 11.44/11.60 apply zenon_H1d. apply refl_equal. % 11.44/11.60 exact (zenon_H12a zenon_H129). % 11.44/11.60 apply zenon_H28b. apply refl_equal. % 11.44/11.60 apply zenon_H28b. apply refl_equal. % 11.44/11.60 apply zenon_H84. apply refl_equal. % 11.44/11.60 (* end of lemma zenon_L448_ *) % 11.44/11.60 assert (zenon_L449_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.44/11.60 do 0 intro. intros zenon_Hc7 zenon_H3f zenon_H59 zenon_Hb8 zenon_H35 zenon_H53 zenon_Hc2 zenon_H82. % 11.44/11.60 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.60 apply (zenon_L44_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.60 exact (zenon_Hb8 zenon_H88). % 11.44/11.60 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.60 apply (zenon_L193_); trivial. % 11.44/11.60 apply (zenon_L256_); trivial. % 11.44/11.60 (* end of lemma zenon_L449_ *) % 11.44/11.60 assert (zenon_L450_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (op (e0) (e3))) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H232 zenon_H288 zenon_H82 zenon_H53 zenon_H35 zenon_Hb8 zenon_H59 zenon_H3f zenon_Hc7 zenon_Hfe zenon_H167 zenon_H131 zenon_H127. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H129 | zenon_intro zenon_H233 ]. % 11.44/11.60 apply (zenon_L448_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H234 ]. % 11.44/11.60 apply (zenon_L449_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H12b | zenon_intro zenon_H132 ]. % 11.44/11.60 apply (zenon_L138_); trivial. % 11.44/11.60 apply (zenon_L91_); trivial. % 11.44/11.60 (* end of lemma zenon_L450_ *) % 11.44/11.60 assert (zenon_L451_ : (~((op (e0) (op (e0) (e1))) = (e1))) -> ((op (e0) (e3)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H27c zenon_Ha2 zenon_Hd3. % 11.44/11.60 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (op (e0) (e1))) = (e1))). % 11.44/11.60 intro zenon_D_pnotp. % 11.44/11.60 apply zenon_H27c. % 11.44/11.60 rewrite <- zenon_D_pnotp. % 11.44/11.60 exact zenon_Ha2. % 11.44/11.60 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.44/11.60 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H28d]. % 11.44/11.60 congruence. % 11.44/11.60 elim (classic ((op (e0) (op (e0) (e1))) = (op (e0) (op (e0) (e1))))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ]. % 11.44/11.60 cut (((op (e0) (op (e0) (e1))) = (op (e0) (op (e0) (e1)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e1))))). % 11.44/11.60 intro zenon_D_pnotp. % 11.44/11.60 apply zenon_H28d. % 11.44/11.60 rewrite <- zenon_D_pnotp. % 11.44/11.60 exact zenon_H27e. % 11.44/11.60 cut (((op (e0) (op (e0) (e1))) = (op (e0) (op (e0) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H27f]. % 11.44/11.60 cut (((op (e0) (op (e0) (e1))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H28e]. % 11.44/11.60 congruence. % 11.44/11.60 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 11.44/11.60 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.44/11.60 congruence. % 11.44/11.60 apply zenon_H1d. apply refl_equal. % 11.44/11.60 exact (zenon_Hd4 zenon_Hd3). % 11.44/11.60 apply zenon_H27f. apply refl_equal. % 11.44/11.60 apply zenon_H27f. apply refl_equal. % 11.44/11.60 apply zenon_H29. apply refl_equal. % 11.44/11.60 (* end of lemma zenon_L451_ *) % 11.44/11.60 assert (zenon_L452_ : (~((op (e0) (op (e0) (e0))) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H28f zenon_H6d. % 11.44/11.60 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 11.44/11.60 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.44/11.60 congruence. % 11.44/11.60 apply zenon_H1d. apply refl_equal. % 11.44/11.60 exact (zenon_H6e zenon_H6d). % 11.44/11.60 (* end of lemma zenon_L452_ *) % 11.44/11.60 assert (zenon_L453_ : (~((op (e0) (op (e0) (e0))) = (e0))) -> ((op (e0) (e3)) = (e0)) -> ((op (e0) (e0)) = (e3)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H21 zenon_H38 zenon_H6d. % 11.44/11.60 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (op (e0) (e0))) = (e0))). % 11.44/11.60 intro zenon_D_pnotp. % 11.44/11.60 apply zenon_H21. % 11.44/11.60 rewrite <- zenon_D_pnotp. % 11.44/11.60 exact zenon_H38. % 11.44/11.60 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.44/11.60 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H290]. % 11.44/11.60 congruence. % 11.44/11.60 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 11.44/11.60 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e0))))). % 11.44/11.60 intro zenon_D_pnotp. % 11.44/11.60 apply zenon_H290. % 11.44/11.60 rewrite <- zenon_D_pnotp. % 11.44/11.60 exact zenon_H23. % 11.44/11.60 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 11.44/11.60 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H28f]. % 11.44/11.60 congruence. % 11.44/11.60 apply (zenon_L452_); trivial. % 11.44/11.60 apply zenon_H24. apply refl_equal. % 11.44/11.60 apply zenon_H24. apply refl_equal. % 11.44/11.60 apply zenon_H1d. apply refl_equal. % 11.44/11.60 (* end of lemma zenon_L453_ *) % 11.44/11.60 assert (zenon_L454_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3)))))))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H25e zenon_H82 zenon_Ha9. % 11.44/11.60 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H38. zenon_intro zenon_H25f. % 11.44/11.60 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_Hb5. zenon_intro zenon_H27. % 11.44/11.60 apply (zenon_L154_); trivial. % 11.44/11.60 (* end of lemma zenon_L454_ *) % 11.44/11.60 assert (zenon_L455_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\((~((op (e0) (op (e0) (e0))) = (e0)))/\((~((op (e0) (op (e0) (e1))) = (e1)))/\((~((op (e0) (op (e0) (e2))) = (e2)))/\(~((op (e0) (op (e0) (e3))) = (e3)))))))) -> (~((e0) = (e3))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H262 zenon_H38 zenon_H21 zenon_Ha8 zenon_H59 zenon_Hfe zenon_Hec zenon_H25e zenon_H82. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.44/11.60 apply (zenon_L453_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.44/11.60 apply (zenon_L47_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.44/11.60 apply (zenon_L93_); trivial. % 11.44/11.60 apply (zenon_L454_); trivial. % 11.44/11.60 (* end of lemma zenon_L455_ *) % 11.44/11.60 assert (zenon_L456_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H17d zenon_Ha8 zenon_H9a zenon_H99 zenon_H54 zenon_H180 zenon_Hd8 zenon_H93. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.44/11.60 apply (zenon_L119_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.44/11.60 apply (zenon_L34_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.44/11.60 apply (zenon_L124_); trivial. % 11.44/11.60 apply (zenon_L131_); trivial. % 11.44/11.60 (* end of lemma zenon_L456_ *) % 11.44/11.60 assert (zenon_L457_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H104 zenon_H54 zenon_H9e. % 11.44/11.60 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e3) (e2)))). % 11.44/11.60 intro zenon_D_pnotp. % 11.44/11.60 apply zenon_H104. % 11.44/11.60 rewrite <- zenon_D_pnotp. % 11.44/11.60 exact zenon_H54. % 11.44/11.60 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9f]. % 11.44/11.60 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 11.44/11.60 congruence. % 11.44/11.60 apply zenon_H57. apply refl_equal. % 11.44/11.60 apply zenon_H9f. apply sym_equal. exact zenon_H9e. % 11.44/11.60 (* end of lemma zenon_L457_ *) % 11.44/11.60 assert (zenon_L458_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False). % 11.44/11.60 do 0 intro. intros zenon_Ha5 zenon_H3f zenon_Hb5 zenon_Hd8 zenon_H180 zenon_H99 zenon_Ha8 zenon_H17d zenon_H54 zenon_H104 zenon_H247 zenon_H38 zenon_H1a3 zenon_H246 zenon_H273 zenon_H160 zenon_H93 zenon_H186. % 11.44/11.60 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.44/11.60 apply (zenon_L42_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.44/11.60 apply (zenon_L456_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.44/11.60 apply (zenon_L457_); trivial. % 11.44/11.60 apply (zenon_L370_); trivial. % 11.44/11.60 (* end of lemma zenon_L458_ *) % 11.44/11.60 assert (zenon_L459_ : (~((op (e0) (op (e0) (e1))) = (e1))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H27c zenon_H54 zenon_H5e. % 11.44/11.60 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (op (e0) (e1))) = (e1))). % 11.44/11.60 intro zenon_D_pnotp. % 11.44/11.60 apply zenon_H27c. % 11.44/11.60 rewrite <- zenon_D_pnotp. % 11.44/11.60 exact zenon_H54. % 11.44/11.60 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.44/11.60 cut (((op (e0) (e2)) = (op (e0) (op (e0) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H291]. % 11.44/11.60 congruence. % 11.44/11.60 elim (classic ((op (e0) (op (e0) (e1))) = (op (e0) (op (e0) (e1))))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ]. % 11.44/11.60 cut (((op (e0) (op (e0) (e1))) = (op (e0) (op (e0) (e1)))) = ((op (e0) (e2)) = (op (e0) (op (e0) (e1))))). % 11.44/11.60 intro zenon_D_pnotp. % 11.44/11.60 apply zenon_H291. % 11.44/11.60 rewrite <- zenon_D_pnotp. % 11.44/11.60 exact zenon_H27e. % 11.44/11.60 cut (((op (e0) (op (e0) (e1))) = (op (e0) (op (e0) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H27f]. % 11.44/11.60 cut (((op (e0) (op (e0) (e1))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H292]. % 11.44/11.60 congruence. % 11.44/11.60 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 11.44/11.60 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.44/11.60 congruence. % 11.44/11.60 apply zenon_H1d. apply refl_equal. % 11.44/11.60 exact (zenon_H63 zenon_H5e). % 11.44/11.60 apply zenon_H27f. apply refl_equal. % 11.44/11.60 apply zenon_H27f. apply refl_equal. % 11.44/11.60 apply zenon_H29. apply refl_equal. % 11.44/11.60 (* end of lemma zenon_L459_ *) % 11.44/11.60 assert (zenon_L460_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3)))))))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H293 zenon_H27c. % 11.44/11.60 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H59. zenon_intro zenon_H294. % 11.44/11.60 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H3e. zenon_intro zenon_H4c. % 11.44/11.60 apply (zenon_L437_); trivial. % 11.44/11.60 (* end of lemma zenon_L460_ *) % 11.44/11.60 assert (zenon_L461_ : (~((op (e0) (op (e0) (e2))) = (e2))) -> ((op (e0) (e2)) = (e2)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H295 zenon_Hf0. % 11.44/11.60 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (op (e0) (e2))) = (e2))). % 11.44/11.60 intro zenon_D_pnotp. % 11.44/11.60 apply zenon_H295. % 11.44/11.60 rewrite <- zenon_D_pnotp. % 11.44/11.60 exact zenon_Hf0. % 11.44/11.60 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.44/11.60 cut (((op (e0) (e2)) = (op (e0) (op (e0) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H296]. % 11.44/11.60 congruence. % 11.44/11.60 elim (classic ((op (e0) (op (e0) (e2))) = (op (e0) (op (e0) (e2))))); [ zenon_intro zenon_H297 | zenon_intro zenon_H298 ]. % 11.44/11.60 cut (((op (e0) (op (e0) (e2))) = (op (e0) (op (e0) (e2)))) = ((op (e0) (e2)) = (op (e0) (op (e0) (e2))))). % 11.44/11.60 intro zenon_D_pnotp. % 11.44/11.60 apply zenon_H296. % 11.44/11.60 rewrite <- zenon_D_pnotp. % 11.44/11.60 exact zenon_H297. % 11.44/11.60 cut (((op (e0) (op (e0) (e2))) = (op (e0) (op (e0) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H298]. % 11.44/11.60 cut (((op (e0) (op (e0) (e2))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H299]. % 11.44/11.60 congruence. % 11.44/11.60 cut (((op (e0) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29a]. % 11.44/11.60 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.44/11.60 congruence. % 11.44/11.60 apply zenon_H1d. apply refl_equal. % 11.44/11.60 exact (zenon_H29a zenon_Hf0). % 11.44/11.60 apply zenon_H298. apply refl_equal. % 11.44/11.60 apply zenon_H298. apply refl_equal. % 11.44/11.60 apply zenon_H61. apply refl_equal. % 11.44/11.60 (* end of lemma zenon_L461_ *) % 11.44/11.60 assert (zenon_L462_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3)))))))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H29b zenon_H295. % 11.44/11.60 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_Hec. zenon_intro zenon_H29c. % 11.44/11.60 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_Hf0. zenon_intro zenon_H15e. % 11.44/11.60 apply (zenon_L461_); trivial. % 11.44/11.60 (* end of lemma zenon_L462_ *) % 11.44/11.60 assert (zenon_L463_ : (((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)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H20c zenon_H20a zenon_H1f8 zenon_H69 zenon_H176 zenon_H13b zenon_Hae zenon_H172 zenon_H9a zenon_H4f zenon_Hd8 zenon_H87. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H88 | zenon_intro zenon_H20d ]. % 11.44/11.60 apply (zenon_L197_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H44 | zenon_intro zenon_H20e ]. % 11.44/11.60 apply (zenon_L214_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H65 | zenon_intro zenon_Hbc ]. % 11.44/11.60 apply (zenon_L312_); trivial. % 11.44/11.60 apply (zenon_L118_); trivial. % 11.44/11.60 (* end of lemma zenon_L463_ *) % 11.44/11.60 assert (zenon_L464_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (((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)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.44/11.60 do 0 intro. intros zenon_Hc7 zenon_He8 zenon_Hb8 zenon_H10c zenon_H5f zenon_H19a zenon_H3f zenon_H33 zenon_Hd5 zenon_Hf3 zenon_H146 zenon_H125 zenon_Hb5 zenon_H87 zenon_H4f zenon_H172 zenon_Hae zenon_H176 zenon_H1f8 zenon_H20a zenon_H20c zenon_Hd8 zenon_H140 zenon_H186 zenon_H135 zenon_H18f zenon_H69 zenon_H99 zenon_He4 zenon_H59 zenon_H17d zenon_H12c. % 11.44/11.60 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.60 apply (zenon_L67_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.60 exact (zenon_Hb8 zenon_H88). % 11.44/11.60 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.60 apply (zenon_L208_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.44/11.60 apply (zenon_L10_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.44/11.60 apply (zenon_L112_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.44/11.60 apply (zenon_L73_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.44/11.60 apply (zenon_L141_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.44/11.60 apply (zenon_L463_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.44/11.60 apply (zenon_L65_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.44/11.60 apply (zenon_L34_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.44/11.60 apply (zenon_L239_); trivial. % 11.44/11.60 apply (zenon_L132_); trivial. % 11.44/11.60 apply (zenon_L98_); trivial. % 11.44/11.60 (* end of lemma zenon_L464_ *) % 11.44/11.60 assert (zenon_L465_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H17d zenon_Ha8 zenon_H93 zenon_Hf3 zenon_H54 zenon_H180 zenon_H68 zenon_H167. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.44/11.60 apply (zenon_L119_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.44/11.60 apply (zenon_L73_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.44/11.60 apply (zenon_L124_); trivial. % 11.44/11.60 apply (zenon_L121_); trivial. % 11.44/11.60 (* end of lemma zenon_L465_ *) % 11.44/11.60 assert (zenon_L466_ : (((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) (e3)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H157 zenon_H125 zenon_Ha9 zenon_Hd3 zenon_Hae zenon_H167 zenon_H140 zenon_H149. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.44/11.60 apply (zenon_L355_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.44/11.60 apply (zenon_L199_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.44/11.60 apply (zenon_L137_); trivial. % 11.44/11.60 apply (zenon_L100_); trivial. % 11.44/11.60 (* end of lemma zenon_L466_ *) % 11.44/11.60 assert (zenon_L467_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> (~((op (e0) (op (e0) (e3))) = (e3))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H271 zenon_H288. % 11.44/11.60 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_Ha9. zenon_intro zenon_H272. % 11.44/11.60 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_H129. zenon_intro zenon_H1be. % 11.44/11.60 apply (zenon_L448_); trivial. % 11.44/11.60 (* end of lemma zenon_L467_ *) % 11.44/11.60 assert (zenon_L468_ : (~((op (e0) (op (e0) (e0))) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e1)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H29d zenon_H96. % 11.44/11.60 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H200]. % 11.44/11.60 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.44/11.60 congruence. % 11.44/11.60 apply zenon_H1d. apply refl_equal. % 11.44/11.60 exact (zenon_H200 zenon_H96). % 11.44/11.60 (* end of lemma zenon_L468_ *) % 11.44/11.60 assert (zenon_L469_ : (~((op (e0) (op (e0) (e0))) = (e0))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e0)) = (e1)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H21 zenon_H33 zenon_H96. % 11.44/11.60 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (op (e0) (e0))) = (e0))). % 11.44/11.60 intro zenon_D_pnotp. % 11.44/11.60 apply zenon_H21. % 11.44/11.60 rewrite <- zenon_D_pnotp. % 11.44/11.60 exact zenon_H33. % 11.44/11.60 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.44/11.60 cut (((op (e0) (e1)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H29e]. % 11.44/11.60 congruence. % 11.44/11.60 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 11.44/11.60 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e1)) = (op (e0) (op (e0) (e0))))). % 11.44/11.60 intro zenon_D_pnotp. % 11.44/11.60 apply zenon_H29e. % 11.44/11.60 rewrite <- zenon_D_pnotp. % 11.44/11.60 exact zenon_H23. % 11.44/11.60 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 11.44/11.60 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H29d]. % 11.44/11.60 congruence. % 11.44/11.60 apply (zenon_L468_); trivial. % 11.44/11.60 apply zenon_H24. apply refl_equal. % 11.44/11.60 apply zenon_H24. apply refl_equal. % 11.44/11.60 apply zenon_H1d. apply refl_equal. % 11.44/11.60 (* end of lemma zenon_L469_ *) % 11.44/11.60 assert (zenon_L470_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (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) (e3)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H11f zenon_H6d zenon_He2 zenon_Hfe zenon_H1bf zenon_H236 zenon_Hcc zenon_H169 zenon_H1ce zenon_H9e zenon_H16a zenon_H1d1 zenon_H1b0. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.44/11.60 apply (zenon_L248_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.44/11.60 apply (zenon_L367_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.44/11.60 apply (zenon_L164_); trivial. % 11.44/11.60 apply (zenon_L386_); trivial. % 11.44/11.60 (* end of lemma zenon_L470_ *) % 11.44/11.60 assert (zenon_L471_ : (((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)) -> (~((e0) = (e1))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (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 (e3) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H1e1 zenon_H1de zenon_Ha2 zenon_H3f zenon_H6a zenon_H1e0 zenon_H1da zenon_H1e4 zenon_H33 zenon_H172 zenon_H8a zenon_H9d zenon_H11f zenon_H6d zenon_He2 zenon_Hfe zenon_H1bf zenon_H236 zenon_Hcc zenon_H169 zenon_H1ce zenon_H1d1 zenon_H1b0. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.44/11.60 apply (zenon_L182_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.44/11.60 apply (zenon_L29_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.44/11.60 apply (zenon_L183_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.44/11.60 apply (zenon_L185_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.44/11.60 apply (zenon_L155_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.44/11.60 apply (zenon_L156_); trivial. % 11.44/11.60 apply (zenon_L470_); trivial. % 11.44/11.60 (* end of lemma zenon_L471_ *) % 11.44/11.60 assert (zenon_L472_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (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) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> False). % 11.44/11.60 do 0 intro. intros zenon_Hc7 zenon_H3f zenon_Hb8 zenon_H1b7 zenon_H1da zenon_H125 zenon_H172 zenon_Ha5 zenon_H1a3 zenon_H12b zenon_H104 zenon_H33 zenon_H11f zenon_H1bf zenon_H1b0 zenon_H1c8 zenon_Ha8 zenon_H1d7 zenon_H1cc zenon_H99 zenon_H1ce zenon_Hcc zenon_H169 zenon_H1d1 zenon_H1d4 zenon_Hd5 zenon_H34 zenon_H54 zenon_H19a zenon_H156 zenon_H68 zenon_H9d zenon_H10d zenon_H58 zenon_H59 zenon_H109 zenon_H114 zenon_H127 zenon_H82 zenon_H22e zenon_H5b zenon_H21 zenon_Hd8 zenon_H252 zenon_H5f. % 11.44/11.60 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.60 apply (zenon_L44_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.60 exact (zenon_Hb8 zenon_H88). % 11.44/11.60 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.60 apply (zenon_L178_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.60 apply (zenon_L113_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.60 apply (zenon_L180_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.44/11.60 apply (zenon_L439_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.44/11.60 apply (zenon_L208_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.44/11.60 apply (zenon_L397_); trivial. % 11.44/11.60 apply (zenon_L410_); trivial. % 11.44/11.60 apply (zenon_L102_); trivial. % 11.44/11.60 (* end of lemma zenon_L472_ *) % 11.44/11.60 assert (zenon_L473_ : (((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) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H262 zenon_Ha8 zenon_H96 zenon_H82 zenon_H2b zenon_Hfe zenon_Hec zenon_H127 zenon_H1ce. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.44/11.60 apply (zenon_L195_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.44/11.60 apply (zenon_L27_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.44/11.60 apply (zenon_L93_); trivial. % 11.44/11.60 apply (zenon_L174_); trivial. % 11.44/11.60 (* end of lemma zenon_L473_ *) % 11.44/11.60 assert (zenon_L474_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H1c8 zenon_H96 zenon_H27c zenon_H82 zenon_H35 zenon_Ha2 zenon_Ha8. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.60 apply (zenon_L195_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.60 apply (zenon_L451_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.60 apply (zenon_L201_); trivial. % 11.44/11.60 apply (zenon_L88_); trivial. % 11.44/11.60 (* end of lemma zenon_L474_ *) % 11.44/11.60 assert (zenon_L475_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((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) (e0)) = (e2)) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H29f zenon_H68 zenon_H35 zenon_H11f zenon_H172 zenon_Hfe zenon_H1b0 zenon_H127 zenon_H21 zenon_H1a6 zenon_H3f zenon_H1c8 zenon_H27c zenon_H82 zenon_Ha8 zenon_Hab zenon_H262 zenon_H1ce zenon_H26d zenon_H5f zenon_Hec zenon_H1e4. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.44/11.60 apply (zenon_L3_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.44/11.60 apply (zenon_L473_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.44/11.60 apply (zenon_L437_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.44/11.60 apply (zenon_L235_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.44/11.60 apply (zenon_L474_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.44/11.60 apply (zenon_L44_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.44/11.60 apply (zenon_L68_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.60 apply (zenon_L439_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.60 apply (zenon_L436_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.60 apply (zenon_L229_); trivial. % 11.44/11.60 apply (zenon_L152_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.44/11.60 apply (zenon_L70_); trivial. % 11.44/11.60 apply (zenon_L185_); trivial. % 11.44/11.60 (* end of lemma zenon_L475_ *) % 11.44/11.60 assert (zenon_L476_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H156 zenon_He8 zenon_Hed zenon_H5e zenon_H87 zenon_H55 zenon_H68 zenon_H8d zenon_H5f. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.60 apply (zenon_L311_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.60 apply (zenon_L202_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.60 apply (zenon_L245_); trivial. % 11.44/11.60 apply (zenon_L102_); trivial. % 11.44/11.60 (* end of lemma zenon_L476_ *) % 11.44/11.60 assert (zenon_L477_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H1e1 zenon_H27c zenon_H5f zenon_H8d zenon_H68 zenon_H87 zenon_H5e zenon_Hed zenon_He8 zenon_H156 zenon_H6a zenon_H1e0 zenon_Ha8 zenon_H127. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.44/11.60 apply (zenon_L459_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.44/11.60 apply (zenon_L476_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.44/11.60 apply (zenon_L183_); trivial. % 11.44/11.60 apply (zenon_L170_); trivial. % 11.44/11.60 (* end of lemma zenon_L477_ *) % 11.44/11.60 assert (zenon_L478_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H262 zenon_H38 zenon_H21 zenon_Ha8 zenon_H59 zenon_H186 zenon_H12b zenon_H127 zenon_H1ce. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.44/11.60 apply (zenon_L453_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.44/11.60 apply (zenon_L47_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.44/11.60 apply (zenon_L369_); trivial. % 11.44/11.60 apply (zenon_L174_); trivial. % 11.44/11.60 (* end of lemma zenon_L478_ *) % 11.44/11.60 assert (zenon_L479_ : (((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 (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H1d7 zenon_H33 zenon_H172 zenon_H44 zenon_H69 zenon_H99 zenon_Hbc zenon_H20a. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1d8 ]. % 11.44/11.60 apply (zenon_L155_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H9a | zenon_intro zenon_H1d9 ]. % 11.44/11.60 apply (zenon_L214_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H6f | zenon_intro zenon_He2 ]. % 11.44/11.60 apply (zenon_L255_); trivial. % 11.44/11.60 apply (zenon_L216_); trivial. % 11.44/11.60 (* end of lemma zenon_L479_ *) % 11.44/11.60 assert (zenon_L480_ : (~((op (e2) (op (e2) (e3))) = (e3))) -> ((op (e2) (e1)) = (e3)) -> ((op (e2) (e3)) = (e1)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H149 zenon_Hda zenon_H17b. % 11.44/11.60 cut (((op (e2) (e1)) = (e3)) = ((op (e2) (op (e2) (e3))) = (e3))). % 11.44/11.60 intro zenon_D_pnotp. % 11.44/11.60 apply zenon_H149. % 11.44/11.60 rewrite <- zenon_D_pnotp. % 11.44/11.60 exact zenon_Hda. % 11.44/11.60 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.44/11.60 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H2a2]. % 11.44/11.60 congruence. % 11.44/11.60 elim (classic ((op (e2) (op (e2) (e3))) = (op (e2) (op (e2) (e3))))); [ zenon_intro zenon_H14b | zenon_intro zenon_H14c ]. % 11.44/11.60 cut (((op (e2) (op (e2) (e3))) = (op (e2) (op (e2) (e3)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e3))))). % 11.44/11.60 intro zenon_D_pnotp. % 11.44/11.60 apply zenon_H2a2. % 11.44/11.60 rewrite <- zenon_D_pnotp. % 11.44/11.60 exact zenon_H14b. % 11.44/11.60 cut (((op (e2) (op (e2) (e3))) = (op (e2) (op (e2) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 11.44/11.60 cut (((op (e2) (op (e2) (e3))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2a3]. % 11.44/11.60 congruence. % 11.44/11.60 cut (((op (e2) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H17c]. % 11.44/11.60 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.44/11.60 congruence. % 11.44/11.60 apply zenon_H61. apply refl_equal. % 11.44/11.60 exact (zenon_H17c zenon_H17b). % 11.44/11.60 apply zenon_H14c. apply refl_equal. % 11.44/11.60 apply zenon_H14c. apply refl_equal. % 11.44/11.60 apply zenon_H84. apply refl_equal. % 11.44/11.60 (* end of lemma zenon_L480_ *) % 11.44/11.60 assert (zenon_L481_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> ((op (e2) (e1)) = (e3)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H17d zenon_H125 zenon_H70 zenon_Ha8 zenon_H55 zenon_H111 zenon_H149 zenon_Hda. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.44/11.60 apply (zenon_L150_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.44/11.60 apply (zenon_L128_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.44/11.60 apply (zenon_L120_); trivial. % 11.44/11.60 apply (zenon_L480_); trivial. % 11.44/11.60 (* end of lemma zenon_L481_ *) % 11.44/11.60 assert (zenon_L482_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.44/11.60 do 0 intro. intros zenon_Ha5 zenon_Hda zenon_H149 zenon_H111 zenon_Ha8 zenon_H125 zenon_H17d zenon_H20a zenon_H44 zenon_H55 zenon_H9d zenon_Ha1 zenon_Ha2. % 11.44/11.60 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.44/11.60 apply (zenon_L481_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.44/11.60 apply (zenon_L214_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.44/11.60 apply (zenon_L35_); trivial. % 11.44/11.60 apply (zenon_L36_); trivial. % 11.44/11.60 (* end of lemma zenon_L482_ *) % 11.44/11.60 assert (zenon_L483_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> False). % 11.44/11.60 do 0 intro. intros zenon_H7e zenon_H33 zenon_H66 zenon_H68 zenon_Hb2 zenon_H2b zenon_H5f zenon_H17d zenon_Hf3 zenon_H140 zenon_H18f zenon_H135 zenon_H125 zenon_H1a0 zenon_H6d zenon_H70. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.44/11.60 apply (zenon_L18_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.44/11.60 exact (zenon_H66 zenon_H65). % 11.44/11.60 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.44/11.60 apply (zenon_L252_); trivial. % 11.44/11.60 apply (zenon_L25_); trivial. % 11.44/11.60 (* end of lemma zenon_L483_ *) % 11.44/11.60 assert (zenon_L484_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H1c8 zenon_Ha1 zenon_Hed zenon_H7e zenon_H33 zenon_H66 zenon_H68 zenon_Hb2 zenon_H2b zenon_H5f zenon_H17d zenon_Hf3 zenon_H140 zenon_H18f zenon_H135 zenon_H125 zenon_H1a0 zenon_Ha5 zenon_H172 zenon_He2 zenon_Hfe zenon_Hf0 zenon_Ha2 zenon_Ha8. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.60 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.44/11.60 apply (zenon_L483_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.44/11.60 apply (zenon_L63_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.44/11.60 apply (zenon_L248_); trivial. % 11.44/11.60 apply (zenon_L36_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.60 apply (zenon_L309_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.60 apply (zenon_L75_); trivial. % 11.44/11.60 apply (zenon_L88_); trivial. % 11.44/11.60 (* end of lemma zenon_L484_ *) % 11.44/11.60 assert (zenon_L485_ : (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H1f3 zenon_H5c zenon_H1c8 zenon_Ha1 zenon_H7e zenon_H33 zenon_H66 zenon_H68 zenon_Hb2 zenon_H2b zenon_H5f zenon_H17d zenon_Hf3 zenon_H140 zenon_H18f zenon_H135 zenon_H125 zenon_H1a0 zenon_Ha5 zenon_H172 zenon_He2 zenon_Hfe zenon_Hf0 zenon_Ha2 zenon_Ha8. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.60 apply (zenon_L278_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.60 apply (zenon_L196_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.60 apply (zenon_L68_); trivial. % 11.44/11.60 apply (zenon_L484_); trivial. % 11.44/11.60 (* end of lemma zenon_L485_ *) % 11.44/11.60 assert (zenon_L486_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((e0) = (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)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False). % 11.44/11.60 do 0 intro. intros zenon_H1da zenon_He8 zenon_H2b zenon_H33 zenon_H172 zenon_H103 zenon_H5f zenon_H247 zenon_H246 zenon_Hd8 zenon_H13e zenon_H186 zenon_H135 zenon_H18f zenon_H112 zenon_H140 zenon_H149. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.44/11.60 apply (zenon_L67_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.44/11.60 apply (zenon_L155_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.44/11.60 apply (zenon_L303_); trivial. % 11.44/11.60 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H144 | zenon_intro zenon_H248 ]. % 11.44/11.61 apply (zenon_L323_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H17b | zenon_intro zenon_H249 ]. % 11.44/11.61 apply (zenon_L132_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H167 | zenon_intro zenon_H12b ]. % 11.44/11.61 apply (zenon_L137_); trivial. % 11.44/11.61 apply (zenon_L100_); trivial. % 11.44/11.61 (* end of lemma zenon_L486_ *) % 11.44/11.61 assert (zenon_L487_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False). % 11.44/11.61 do 0 intro. intros zenon_H157 zenon_H5c zenon_H111 zenon_H55 zenon_Ha8 zenon_H17d zenon_H140 zenon_H18f zenon_H135 zenon_H186 zenon_H13e zenon_Hd8 zenon_H246 zenon_H247 zenon_H5f zenon_H103 zenon_H172 zenon_H33 zenon_H2b zenon_He8 zenon_H1da zenon_H149. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.44/11.61 apply (zenon_L119_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.44/11.61 apply (zenon_L133_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.44/11.61 apply (zenon_L486_); trivial. % 11.44/11.61 apply (zenon_L100_); trivial. % 11.44/11.61 (* end of lemma zenon_L487_ *) % 11.44/11.61 assert (zenon_L488_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e3)) = (e1)) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((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)) = (op (e0) (e2)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False). % 11.44/11.61 do 0 intro. intros zenon_H24e zenon_Ha2 zenon_Hfe zenon_He2 zenon_Ha5 zenon_H1a0 zenon_H125 zenon_Hf3 zenon_Hb2 zenon_H68 zenon_H66 zenon_H7e zenon_Ha1 zenon_H1c8 zenon_H1f3 zenon_H11a zenon_H109 zenon_H69 zenon_H1e0 zenon_H157 zenon_H5c zenon_H111 zenon_H55 zenon_Ha8 zenon_H17d zenon_H140 zenon_H18f zenon_H135 zenon_H186 zenon_H13e zenon_Hd8 zenon_H246 zenon_H247 zenon_H5f zenon_H172 zenon_H33 zenon_H2b zenon_He8 zenon_H1da zenon_H149. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.44/11.61 apply (zenon_L485_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.44/11.61 apply (zenon_L286_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.44/11.61 apply (zenon_L317_); trivial. % 11.44/11.61 apply (zenon_L487_); trivial. % 11.44/11.61 (* end of lemma zenon_L488_ *) % 11.44/11.61 assert (zenon_L489_ : (((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 (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> False). % 11.44/11.61 do 0 intro. intros zenon_H1fc zenon_H33 zenon_Hae zenon_Hb2 zenon_H160 zenon_H1e0 zenon_Hd8 zenon_H5c. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H13b | zenon_intro zenon_H1fd ]. % 11.44/11.61 apply (zenon_L114_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H6a | zenon_intro zenon_H1fe ]. % 11.44/11.61 apply (zenon_L41_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H69 | zenon_intro zenon_Hda ]. % 11.44/11.61 apply (zenon_L317_); trivial. % 11.44/11.61 apply (zenon_L62_); trivial. % 11.44/11.61 (* end of lemma zenon_L489_ *) % 11.44/11.61 assert (zenon_L490_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (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 (e2) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.44/11.61 do 0 intro. intros zenon_H276 zenon_H68 zenon_H6f zenon_H99 zenon_H5c zenon_Hd8 zenon_H1e0 zenon_Hb2 zenon_Hae zenon_H33 zenon_H1fc zenon_H144 zenon_H5f. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.44/11.61 apply (zenon_L68_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.44/11.61 apply (zenon_L255_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.44/11.61 apply (zenon_L489_); trivial. % 11.44/11.61 apply (zenon_L109_); trivial. % 11.44/11.61 (* end of lemma zenon_L490_ *) % 11.44/11.61 assert (zenon_L491_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e1) = (e3))) -> (((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))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (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))))) -> (~((e0) = (e2))) -> False). % 11.44/11.61 do 0 intro. intros zenon_H146 zenon_H135 zenon_H149 zenon_H140 zenon_Ha8 zenon_H157 zenon_H276 zenon_H68 zenon_H6f zenon_H99 zenon_H5c zenon_Hd8 zenon_H1e0 zenon_Hb2 zenon_Hae zenon_H33 zenon_H1fc zenon_H5f. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.44/11.61 apply (zenon_L94_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.44/11.61 apply (zenon_L114_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.44/11.61 apply (zenon_L97_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.44/11.61 apply (zenon_L255_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.44/11.61 apply (zenon_L106_); trivial. % 11.44/11.61 apply (zenon_L149_); trivial. % 11.44/11.61 apply (zenon_L490_); trivial. % 11.44/11.61 (* end of lemma zenon_L491_ *) % 11.44/11.61 assert (zenon_L492_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.44/11.61 do 0 intro. intros zenon_H156 zenon_He8 zenon_Hed zenon_H5e zenon_H87 zenon_H55 zenon_H68 zenon_H167 zenon_H12c. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.61 apply (zenon_L311_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.61 apply (zenon_L202_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.61 apply (zenon_L245_); trivial. % 11.44/11.61 apply (zenon_L143_); trivial. % 11.44/11.61 (* end of lemma zenon_L492_ *) % 11.44/11.61 assert (zenon_L493_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.44/11.61 do 0 intro. intros zenon_H276 zenon_H125 zenon_Hae zenon_H140 zenon_H156 zenon_He8 zenon_Hed zenon_H5e zenon_H87 zenon_H55 zenon_H68 zenon_H12c. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.44/11.61 apply (zenon_L86_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.44/11.61 apply (zenon_L198_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.44/11.61 apply (zenon_L106_); trivial. % 11.44/11.61 apply (zenon_L492_); trivial. % 11.44/11.61 (* end of lemma zenon_L493_ *) % 11.44/11.61 assert (zenon_L494_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.44/11.61 do 0 intro. intros zenon_H1a0 zenon_H4f zenon_H5f zenon_H2b zenon_H5c zenon_H276 zenon_H125 zenon_Hae zenon_H140 zenon_H156 zenon_He8 zenon_H5e zenon_H87 zenon_H55 zenon_H68 zenon_H12c. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.61 apply (zenon_L116_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.61 apply (zenon_L196_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.61 apply (zenon_L68_); trivial. % 11.44/11.61 apply (zenon_L493_); trivial. % 11.44/11.61 (* end of lemma zenon_L494_ *) % 11.44/11.61 assert (zenon_L495_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> False). % 11.44/11.61 do 0 intro. intros zenon_H1fc zenon_Hbc zenon_H87 zenon_H4f zenon_H172 zenon_Hae zenon_H176 zenon_H9a zenon_H99 zenon_H160 zenon_H1e0 zenon_Hd8 zenon_H5c. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H13b | zenon_intro zenon_H1fd ]. % 11.44/11.61 apply (zenon_L118_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H6a | zenon_intro zenon_H1fe ]. % 11.44/11.61 apply (zenon_L34_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H69 | zenon_intro zenon_Hda ]. % 11.44/11.61 apply (zenon_L317_); trivial. % 11.44/11.61 apply (zenon_L62_); trivial. % 11.44/11.61 (* end of lemma zenon_L495_ *) % 11.44/11.61 assert (zenon_L496_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False). % 11.44/11.61 do 0 intro. intros zenon_H24e zenon_H295 zenon_H11a zenon_H109 zenon_H1e0 zenon_H99 zenon_H9a zenon_H176 zenon_Hae zenon_H4f zenon_H87 zenon_Hbc zenon_H1fc zenon_H157 zenon_H5c zenon_H111 zenon_H55 zenon_Ha8 zenon_H17d zenon_H140 zenon_H18f zenon_H135 zenon_H186 zenon_H13e zenon_Hd8 zenon_H246 zenon_H247 zenon_H5f zenon_H172 zenon_H33 zenon_H2b zenon_He8 zenon_H1da zenon_H149. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.44/11.61 apply (zenon_L461_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.44/11.61 apply (zenon_L286_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.44/11.61 apply (zenon_L495_); trivial. % 11.44/11.61 apply (zenon_L487_); trivial. % 11.44/11.61 (* end of lemma zenon_L496_ *) % 11.44/11.61 assert (zenon_L497_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.44/11.61 do 0 intro. intros zenon_H1c8 zenon_H70 zenon_H1a0 zenon_H125 zenon_H135 zenon_H18f zenon_H140 zenon_Hf3 zenon_H17d zenon_H5f zenon_H2b zenon_Hb2 zenon_H68 zenon_H66 zenon_H7e zenon_H82 zenon_H33 zenon_Hfe zenon_Hf0 zenon_Ha2 zenon_Ha8. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.61 apply (zenon_L483_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.61 apply (zenon_L58_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.61 apply (zenon_L75_); trivial. % 11.44/11.61 apply (zenon_L88_); trivial. % 11.44/11.61 (* end of lemma zenon_L497_ *) % 11.44/11.61 assert (zenon_L498_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False). % 11.44/11.61 do 0 intro. intros zenon_H1fc zenon_H88 zenon_H1f8 zenon_Hb2 zenon_H5c zenon_H5e zenon_Hae zenon_Hd3. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H13b | zenon_intro zenon_H1fd ]. % 11.44/11.61 apply (zenon_L197_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H6a | zenon_intro zenon_H1fe ]. % 11.44/11.61 apply (zenon_L41_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H69 | zenon_intro zenon_Hda ]. % 11.44/11.61 apply (zenon_L198_); trivial. % 11.44/11.61 apply (zenon_L199_); trivial. % 11.44/11.61 (* end of lemma zenon_L498_ *) % 11.44/11.61 assert (zenon_L499_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> ((op (e2) (e3)) = (e1)) -> False). % 11.44/11.61 do 0 intro. intros zenon_H1fc zenon_H88 zenon_H1f8 zenon_Hf3 zenon_Hec zenon_Hb2 zenon_H149 zenon_H17b. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H13b | zenon_intro zenon_H1fd ]. % 11.44/11.61 apply (zenon_L197_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H6a | zenon_intro zenon_H1fe ]. % 11.44/11.61 apply (zenon_L73_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H69 | zenon_intro zenon_Hda ]. % 11.44/11.61 apply (zenon_L236_); trivial. % 11.44/11.61 apply (zenon_L480_); trivial. % 11.44/11.61 (* end of lemma zenon_L499_ *) % 11.44/11.61 assert (zenon_L500_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e1)) -> False). % 11.44/11.61 do 0 intro. intros zenon_H276 zenon_H149 zenon_Hb2 zenon_Hf3 zenon_H1f8 zenon_H88 zenon_H1fc zenon_Hae zenon_H5e zenon_H140 zenon_H68 zenon_H17b. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.44/11.61 apply (zenon_L499_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.44/11.61 apply (zenon_L198_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.44/11.61 apply (zenon_L106_); trivial. % 11.44/11.61 apply (zenon_L121_); trivial. % 11.44/11.61 (* end of lemma zenon_L500_ *) % 11.44/11.61 assert (zenon_L501_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False). % 11.44/11.61 do 0 intro. intros zenon_H1fc zenon_H88 zenon_H1f8 zenon_Hf3 zenon_H6f zenon_H99 zenon_Hae zenon_Hd3. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H13b | zenon_intro zenon_H1fd ]. % 11.44/11.61 apply (zenon_L197_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H6a | zenon_intro zenon_H1fe ]. % 11.44/11.61 apply (zenon_L73_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H69 | zenon_intro zenon_Hda ]. % 11.44/11.61 apply (zenon_L255_); trivial. % 11.44/11.61 apply (zenon_L199_); trivial. % 11.44/11.61 (* end of lemma zenon_L501_ *) % 11.44/11.61 assert (zenon_L502_ : (((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) (e1)) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.44/11.61 do 0 intro. intros zenon_H156 zenon_He4 zenon_Hec zenon_H66 zenon_H55 zenon_H68 zenon_H8d zenon_H5f. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.61 apply (zenon_L74_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.61 exact (zenon_H66 zenon_H65). % 11.44/11.61 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.61 apply (zenon_L245_); trivial. % 11.44/11.61 apply (zenon_L102_); trivial. % 11.44/11.61 (* end of lemma zenon_L502_ *) % 11.44/11.61 assert (zenon_L503_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((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 (e2) (e0)) = (e2)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> False). % 11.44/11.61 do 0 intro. intros zenon_Hc7 zenon_H82 zenon_H81 zenon_Hd3 zenon_Hae zenon_H99 zenon_Hf3 zenon_H1f8 zenon_H1fc zenon_Hb2 zenon_H17d zenon_H111 zenon_H149 zenon_H7e zenon_H3f zenon_H156 zenon_He4 zenon_Hec zenon_H66 zenon_H55 zenon_H68 zenon_H5f. % 11.44/11.61 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.61 apply (zenon_L27_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.44/11.61 apply (zenon_L498_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.44/11.61 apply (zenon_L73_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.44/11.61 apply (zenon_L120_); trivial. % 11.44/11.61 apply (zenon_L499_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.44/11.61 exact (zenon_H66 zenon_H65). % 11.44/11.61 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.44/11.61 apply (zenon_L236_); trivial. % 11.44/11.61 apply (zenon_L501_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.61 apply (zenon_L29_); trivial. % 11.44/11.61 apply (zenon_L502_); trivial. % 11.44/11.61 (* end of lemma zenon_L503_ *) % 11.44/11.61 assert (zenon_L504_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False). % 11.44/11.61 do 0 intro. intros zenon_H206 zenon_Hb5 zenon_H96 zenon_H23f zenon_He4 zenon_Hec zenon_Ha9 zenon_He8. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H2b | zenon_intro zenon_H207 ]. % 11.44/11.61 apply (zenon_L67_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H59 | zenon_intro zenon_H208 ]. % 11.44/11.61 apply (zenon_L283_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H81 ]. % 11.44/11.61 apply (zenon_L74_); trivial. % 11.44/11.61 apply (zenon_L227_); trivial. % 11.44/11.61 (* end of lemma zenon_L504_ *) % 11.44/11.61 assert (zenon_L505_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((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)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (((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). % 11.44/11.61 do 0 intro. intros zenon_H262 zenon_Ha8 zenon_H38 zenon_H117 zenon_H156 zenon_He4 zenon_H5e zenon_H87 zenon_H5f zenon_H96 zenon_Hfd zenon_Hc7 zenon_Hfe zenon_Hec zenon_H82 zenon_Hb5. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.44/11.61 apply (zenon_L195_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.44/11.61 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.61 apply (zenon_L27_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.61 apply (zenon_L345_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.61 apply (zenon_L209_); trivial. % 11.44/11.61 apply (zenon_L337_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.44/11.61 apply (zenon_L93_); trivial. % 11.44/11.61 apply (zenon_L154_); trivial. % 11.44/11.61 (* end of lemma zenon_L505_ *) % 11.44/11.61 assert (zenon_L506_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (op (e0) (e3))) = (e3))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((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) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.44/11.61 do 0 intro. intros zenon_H1a0 zenon_H4f zenon_H288 zenon_H140 zenon_H276 zenon_H82 zenon_H38 zenon_H262 zenon_Ha8 zenon_H117 zenon_H156 zenon_He4 zenon_H5e zenon_H87 zenon_H96 zenon_Hc7 zenon_Hfe zenon_H21 zenon_H68 zenon_H55 zenon_H66 zenon_H3f zenon_H7e zenon_H149 zenon_H111 zenon_H17d zenon_Hb2 zenon_H1fc zenon_H1f8 zenon_Hf3 zenon_H99 zenon_Hae zenon_H206 zenon_H23f zenon_He8 zenon_H1c8 zenon_Hb5 zenon_H5f. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.61 apply (zenon_L116_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.61 apply (zenon_L195_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.61 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.61 apply (zenon_L67_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.44/11.61 apply (zenon_L498_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.44/11.61 apply (zenon_L73_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.44/11.61 apply (zenon_L120_); trivial. % 11.44/11.61 apply (zenon_L500_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.61 apply (zenon_L29_); trivial. % 11.44/11.61 apply (zenon_L337_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.61 apply (zenon_L346_); trivial. % 11.44/11.61 apply (zenon_L448_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.61 apply (zenon_L453_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.44/11.61 apply (zenon_L453_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.44/11.61 apply (zenon_L503_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.44/11.61 apply (zenon_L93_); trivial. % 11.44/11.61 apply (zenon_L504_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.61 apply (zenon_L505_); trivial. % 11.44/11.61 apply (zenon_L338_); trivial. % 11.44/11.61 apply (zenon_L69_); trivial. % 11.44/11.61 (* end of lemma zenon_L506_ *) % 11.44/11.61 assert (zenon_L507_ : (((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)) = (e0)) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> False). % 11.44/11.61 do 0 intro. intros zenon_H176 zenon_H39 zenon_H38 zenon_H27c zenon_H4f zenon_Hd8 zenon_H87 zenon_Hbc. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33 | zenon_intro zenon_H177 ]. % 11.44/11.61 apply (zenon_L9_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H3e | zenon_intro zenon_H178 ]. % 11.44/11.61 apply (zenon_L437_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H5e | zenon_intro zenon_Hd3 ]. % 11.44/11.61 apply (zenon_L116_); trivial. % 11.44/11.61 apply (zenon_L117_); trivial. % 11.44/11.61 (* end of lemma zenon_L507_ *) % 11.44/11.61 assert (zenon_L508_ : (((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)) = (e0)) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> False). % 11.44/11.61 do 0 intro. intros zenon_H176 zenon_H39 zenon_H38 zenon_H27c zenon_H4f zenon_Hd8 zenon_Hae zenon_Hda. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33 | zenon_intro zenon_H177 ]. % 11.44/11.61 apply (zenon_L9_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H3e | zenon_intro zenon_H178 ]. % 11.44/11.61 apply (zenon_L437_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H5e | zenon_intro zenon_Hd3 ]. % 11.44/11.61 apply (zenon_L116_); trivial. % 11.44/11.61 apply (zenon_L199_); trivial. % 11.44/11.61 (* end of lemma zenon_L508_ *) % 11.44/11.61 assert (zenon_L509_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3)))))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> False). % 11.44/11.61 do 0 intro. intros zenon_H29b zenon_Hb2 zenon_H69. % 11.44/11.61 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_Hec. zenon_intro zenon_H29c. % 11.44/11.61 apply (zenon_L236_); trivial. % 11.44/11.61 (* end of lemma zenon_L509_ *) % 11.44/11.61 assert (zenon_L510_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> False). % 11.44/11.61 do 0 intro. intros zenon_H11f zenon_Ha9 zenon_Hfe zenon_H68 zenon_H9a zenon_H1ac zenon_H5f zenon_H119 zenon_H11a. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.44/11.61 apply (zenon_L241_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.44/11.61 apply (zenon_L76_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.44/11.61 apply (zenon_L303_); trivial. % 11.44/11.61 apply (zenon_L83_); trivial. % 11.44/11.61 (* end of lemma zenon_L510_ *) % 11.44/11.61 assert (zenon_L511_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e0)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.44/11.61 do 0 intro. intros zenon_H17d zenon_Hec zenon_Hf3 zenon_H111 zenon_Ha5 zenon_Ha8 zenon_H11a zenon_H119 zenon_H5f zenon_H1ac zenon_H68 zenon_Hfe zenon_Ha9 zenon_H11f zenon_H55 zenon_H9d zenon_H246. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.44/11.61 apply (zenon_L68_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.44/11.61 apply (zenon_L73_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.44/11.61 apply (zenon_L120_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.44/11.61 apply (zenon_L38_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.44/11.61 apply (zenon_L510_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.44/11.61 apply (zenon_L35_); trivial. % 11.44/11.61 apply (zenon_L293_); trivial. % 11.44/11.61 (* end of lemma zenon_L511_ *) % 11.44/11.61 assert (zenon_L512_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.44/11.61 do 0 intro. intros zenon_H252 zenon_Hf0 zenon_H2b zenon_H58 zenon_H140 zenon_H17d zenon_Hec zenon_Hf3 zenon_H111 zenon_Ha5 zenon_Ha8 zenon_H11a zenon_H119 zenon_H5f zenon_H68 zenon_Hfe zenon_Ha9 zenon_H11f zenon_H55 zenon_H9d zenon_H246. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.44/11.61 apply (zenon_L229_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.44/11.61 apply (zenon_L302_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.44/11.61 apply (zenon_L97_); trivial. % 11.44/11.61 apply (zenon_L511_); trivial. % 11.44/11.61 (* end of lemma zenon_L512_ *) % 11.44/11.61 assert (zenon_L513_ : (((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) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> False). % 11.44/11.61 do 0 intro. intros zenon_H156 zenon_He4 zenon_Hec zenon_H66 zenon_H53 zenon_Hf0 zenon_H96 zenon_H81. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.61 apply (zenon_L74_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.61 exact (zenon_H66 zenon_H65). % 11.44/11.61 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.61 apply (zenon_L92_); trivial. % 11.44/11.61 apply (zenon_L206_); trivial. % 11.44/11.61 (* end of lemma zenon_L513_ *) % 11.44/11.61 assert (zenon_L514_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.44/11.61 do 0 intro. intros zenon_H262 zenon_Ha8 zenon_H96 zenon_Hf0 zenon_H53 zenon_H66 zenon_He4 zenon_H156 zenon_Hfe zenon_Hec zenon_H82 zenon_Hb5. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.44/11.61 apply (zenon_L195_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.44/11.61 apply (zenon_L513_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.44/11.61 apply (zenon_L93_); trivial. % 11.44/11.61 apply (zenon_L154_); trivial. % 11.44/11.61 (* end of lemma zenon_L514_ *) % 11.44/11.61 assert (zenon_L515_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.44/11.61 do 0 intro. intros zenon_H1c8 zenon_H96 zenon_Ha8 zenon_H3e zenon_Hfe zenon_Hf0 zenon_H38 zenon_H82. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.61 apply (zenon_L195_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.61 apply (zenon_L243_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.61 apply (zenon_L75_); trivial. % 11.44/11.61 apply (zenon_L338_); trivial. % 11.44/11.61 (* end of lemma zenon_L515_ *) % 11.44/11.61 assert (zenon_L516_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (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) (op (e2) (e3))) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.44/11.61 do 0 intro. intros zenon_H1a0 zenon_H1f3 zenon_Hf0 zenon_H5f zenon_H2b zenon_H7e zenon_H68 zenon_H3e zenon_H66 zenon_H149 zenon_H192 zenon_H186 zenon_H5c zenon_H1a3 zenon_H38 zenon_H247 zenon_Hcc. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.61 apply (zenon_L278_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.61 apply (zenon_L196_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.61 apply (zenon_L68_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.44/11.61 apply (zenon_L242_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.44/11.61 exact (zenon_H66 zenon_H65). % 11.44/11.61 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.44/11.61 apply (zenon_L358_); trivial. % 11.44/11.61 apply (zenon_L173_); trivial. % 11.44/11.61 (* end of lemma zenon_L516_ *) % 11.44/11.61 assert (zenon_L517_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> False). % 11.44/11.61 do 0 intro. intros zenon_H7e zenon_H3e zenon_H66 zenon_H68 zenon_Hb2 zenon_H2b zenon_H5f zenon_H17d zenon_Hf3 zenon_H140 zenon_H18f zenon_H135 zenon_H125 zenon_H1a0 zenon_H6d zenon_H70. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.44/11.61 apply (zenon_L242_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.44/11.61 exact (zenon_H66 zenon_H65). % 11.44/11.61 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.44/11.61 apply (zenon_L252_); trivial. % 11.44/11.61 apply (zenon_L25_); trivial. % 11.44/11.61 (* end of lemma zenon_L517_ *) % 11.44/11.61 assert (zenon_L518_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.44/11.61 do 0 intro. intros zenon_H1a6 zenon_H149 zenon_H140 zenon_H5c zenon_Ha8 zenon_H157 zenon_H68 zenon_H3e zenon_H104 zenon_H103 zenon_H1a3 zenon_H167. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.61 apply (zenon_L149_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.61 apply (zenon_L242_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.61 apply (zenon_L77_); trivial. % 11.44/11.61 apply (zenon_L148_); trivial. % 11.44/11.61 (* end of lemma zenon_L518_ *) % 11.44/11.61 assert (zenon_L519_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.44/11.61 do 0 intro. intros zenon_H17d zenon_H125 zenon_H70 zenon_Hf3 zenon_H55 zenon_H111 zenon_H68 zenon_H167. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.44/11.61 apply (zenon_L150_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.44/11.61 apply (zenon_L73_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.44/11.61 apply (zenon_L120_); trivial. % 11.44/11.61 apply (zenon_L121_); trivial. % 11.44/11.61 (* end of lemma zenon_L519_ *) % 11.44/11.61 assert (zenon_L520_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False). % 11.44/11.61 do 0 intro. intros zenon_H157 zenon_Ha8 zenon_H5c zenon_Hd3 zenon_Hae zenon_H167 zenon_H140 zenon_H149. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.44/11.61 apply (zenon_L119_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.44/11.61 apply (zenon_L199_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.44/11.61 apply (zenon_L137_); trivial. % 11.44/11.61 apply (zenon_L100_); trivial. % 11.44/11.61 (* end of lemma zenon_L520_ *) % 11.44/11.61 assert (zenon_L521_ : (((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)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.44/11.61 do 0 intro. intros zenon_H146 zenon_H125 zenon_Hb5 zenon_H82 zenon_Hd8 zenon_H140 zenon_H186 zenon_H135 zenon_H18f zenon_H111 zenon_H55 zenon_Hda zenon_Ha8 zenon_H17d zenon_H167 zenon_H5f. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.44/11.61 apply (zenon_L141_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.44/11.61 apply (zenon_L95_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.44/11.61 apply (zenon_L133_); trivial. % 11.44/11.61 apply (zenon_L109_); trivial. % 11.44/11.61 (* end of lemma zenon_L521_ *) % 11.44/11.61 assert (zenon_L522_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.44/11.61 do 0 intro. intros zenon_H1a6 zenon_Hb5 zenon_H82 zenon_H17d zenon_Ha8 zenon_Hf3 zenon_H55 zenon_H111 zenon_H68 zenon_H7e zenon_H4f zenon_H66 zenon_H192 zenon_H19b zenon_Hd5 zenon_H18f zenon_H135 zenon_H186 zenon_H140 zenon_H125 zenon_H146 zenon_Hfe zenon_H96 zenon_H262 zenon_H5f zenon_H33 zenon_H104 zenon_H103 zenon_H1a3 zenon_H167. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.44/11.61 apply (zenon_L195_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.44/11.61 apply (zenon_L116_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.44/11.61 exact (zenon_H66 zenon_H65). % 11.44/11.61 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.44/11.61 apply (zenon_L134_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.44/11.61 apply (zenon_L58_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.44/11.61 apply (zenon_L59_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.44/11.61 apply (zenon_L521_); trivial. % 11.44/11.61 apply (zenon_L367_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.44/11.61 apply (zenon_L122_); trivial. % 11.44/11.61 apply (zenon_L154_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.61 apply (zenon_L18_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.61 apply (zenon_L77_); trivial. % 11.44/11.61 apply (zenon_L148_); trivial. % 11.44/11.61 (* end of lemma zenon_L522_ *) % 11.44/11.61 assert (zenon_L523_ : (((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)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.44/11.61 do 0 intro. intros zenon_H157 zenon_H125 zenon_Ha9 zenon_H82 zenon_H13b zenon_H140 zenon_H167 zenon_Hfe. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.44/11.61 apply (zenon_L355_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.44/11.61 apply (zenon_L95_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.44/11.61 apply (zenon_L137_); trivial. % 11.44/11.61 apply (zenon_L138_); trivial. % 11.44/11.61 (* end of lemma zenon_L523_ *) % 11.44/11.61 assert (zenon_L524_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.44/11.61 do 0 intro. intros zenon_H7e zenon_H4f zenon_Hd8 zenon_H10d zenon_H10c zenon_H167 zenon_H192 zenon_H1aa zenon_H5f. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.44/11.61 apply (zenon_L116_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.44/11.61 apply (zenon_L79_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.44/11.61 apply (zenon_L134_); trivial. % 11.44/11.61 apply (zenon_L292_); trivial. % 11.44/11.61 (* end of lemma zenon_L524_ *) % 11.44/11.61 assert (zenon_L525_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((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). % 11.44/11.61 do 0 intro. intros zenon_H156 zenon_H2b zenon_H66 zenon_H5f zenon_H1aa zenon_H192 zenon_H10d zenon_Hd8 zenon_H4f zenon_H7e zenon_H167 zenon_H12c. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.61 apply (zenon_L196_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.61 exact (zenon_H66 zenon_H65). % 11.44/11.61 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.61 apply (zenon_L524_); trivial. % 11.44/11.61 apply (zenon_L143_); trivial. % 11.44/11.61 (* end of lemma zenon_L525_ *) % 11.44/11.61 assert (zenon_L526_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.44/11.61 do 0 intro. intros zenon_H1a6 zenon_H149 zenon_Ha8 zenon_H157 zenon_H12c zenon_H68 zenon_H55 zenon_H87 zenon_He8 zenon_H156 zenon_H140 zenon_Hae zenon_H125 zenon_H276 zenon_H5c zenon_H2b zenon_H4f zenon_H1a0 zenon_H35 zenon_H5f zenon_H1a3 zenon_H167. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.61 apply (zenon_L149_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.61 apply (zenon_L494_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.61 apply (zenon_L229_); trivial. % 11.44/11.61 apply (zenon_L148_); trivial. % 11.44/11.61 (* end of lemma zenon_L526_ *) % 11.44/11.61 assert (zenon_L527_ : (((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 (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.44/11.61 do 0 intro. intros zenon_H262 zenon_H1a0 zenon_H125 zenon_H135 zenon_H18f zenon_H140 zenon_H5f zenon_Hb2 zenon_H66 zenon_H3e zenon_H7e zenon_H82 zenon_H2b zenon_H167 zenon_H68 zenon_H111 zenon_H55 zenon_Hf3 zenon_H17d zenon_Ha8 zenon_H70. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.44/11.61 apply (zenon_L517_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.44/11.61 apply (zenon_L27_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.44/11.61 apply (zenon_L122_); trivial. % 11.44/11.61 apply (zenon_L38_); trivial. % 11.44/11.61 (* end of lemma zenon_L527_ *) % 11.44/11.61 assert (zenon_L528_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.44/11.61 do 0 intro. intros zenon_H17d zenon_Hfe zenon_H167 zenon_H140 zenon_H13b zenon_H82 zenon_Ha8 zenon_H157 zenon_Hf3 zenon_H55 zenon_H111 zenon_H1a3 zenon_Ha2. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.44/11.61 apply (zenon_L281_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.44/11.61 apply (zenon_L73_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.44/11.61 apply (zenon_L120_); trivial. % 11.44/11.61 apply (zenon_L324_); trivial. % 11.44/11.61 (* end of lemma zenon_L528_ *) % 11.44/11.61 assert (zenon_L529_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((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). % 11.44/11.61 do 0 intro. intros zenon_H20f zenon_Hd3 zenon_Hd5 zenon_Ha2 zenon_H1a3 zenon_H111 zenon_H55 zenon_Hf3 zenon_H157 zenon_Ha8 zenon_H82 zenon_H140 zenon_Hfe zenon_H17d zenon_H156 zenon_H2b zenon_H66 zenon_H5f zenon_H192 zenon_H10d zenon_Hd8 zenon_H4f zenon_H7e zenon_H167 zenon_H12c. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.44/11.61 apply (zenon_L58_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.44/11.61 apply (zenon_L321_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.44/11.61 apply (zenon_L528_); trivial. % 11.44/11.61 apply (zenon_L525_); trivial. % 11.44/11.61 (* end of lemma zenon_L529_ *) % 11.44/11.61 assert (zenon_L530_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.44/11.61 do 0 intro. intros zenon_H17d zenon_Hfe zenon_H140 zenon_H13b zenon_H82 zenon_Ha8 zenon_H157 zenon_Hf3 zenon_H55 zenon_H111 zenon_H68 zenon_H167. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.44/11.61 apply (zenon_L281_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.44/11.61 apply (zenon_L73_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.44/11.61 apply (zenon_L120_); trivial. % 11.44/11.61 apply (zenon_L121_); trivial. % 11.44/11.61 (* end of lemma zenon_L530_ *) % 11.44/11.61 assert (zenon_L531_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (op (e2) (e0))) = (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)) = (op (e1) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((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). % 11.44/11.61 do 0 intro. intros zenon_H20f zenon_H70 zenon_H6d zenon_H1a0 zenon_H125 zenon_H135 zenon_H18f zenon_Hb2 zenon_Hd5 zenon_H68 zenon_H111 zenon_H55 zenon_Hf3 zenon_H157 zenon_Ha8 zenon_H82 zenon_H140 zenon_Hfe zenon_H17d zenon_H156 zenon_H2b zenon_H66 zenon_H5f zenon_H192 zenon_H10d zenon_Hd8 zenon_H4f zenon_H7e zenon_H167 zenon_H12c. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.44/11.61 apply (zenon_L483_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.44/11.61 apply (zenon_L321_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.44/11.61 apply (zenon_L530_); trivial. % 11.44/11.61 apply (zenon_L525_); trivial. % 11.44/11.61 (* end of lemma zenon_L531_ *) % 11.44/11.61 assert (zenon_L532_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.44/11.61 do 0 intro. intros zenon_H1a0 zenon_H1f3 zenon_Hf0 zenon_H5f zenon_H2b zenon_H167 zenon_H186 zenon_H70 zenon_H68. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.61 apply (zenon_L278_); trivial. % 11.44/11.61 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.61 apply (zenon_L196_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.62 apply (zenon_L146_); trivial. % 11.44/11.62 apply (zenon_L163_); trivial. % 11.44/11.62 (* end of lemma zenon_L532_ *) % 11.44/11.62 assert (zenon_L533_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H1f zenon_Hd8 zenon_H5f. % 11.44/11.62 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.44/11.62 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.44/11.62 intro zenon_D_pnotp. % 11.44/11.62 apply zenon_H5f. % 11.44/11.62 rewrite <- zenon_D_pnotp. % 11.44/11.62 exact zenon_H60. % 11.44/11.62 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.44/11.62 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 11.44/11.62 congruence. % 11.44/11.62 cut (((op (e0) (e0)) = (e0)) = ((e2) = (e0))). % 11.44/11.62 intro zenon_D_pnotp. % 11.44/11.62 apply zenon_H62. % 11.44/11.62 rewrite <- zenon_D_pnotp. % 11.44/11.62 exact zenon_H1f. % 11.44/11.62 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.44/11.62 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hd9]. % 11.44/11.62 congruence. % 11.44/11.62 exact (zenon_Hd9 zenon_Hd8). % 11.44/11.62 apply zenon_H1d. apply refl_equal. % 11.44/11.62 apply zenon_H61. apply refl_equal. % 11.44/11.62 apply zenon_H61. apply refl_equal. % 11.44/11.62 (* end of lemma zenon_L533_ *) % 11.44/11.62 assert (zenon_L534_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((e1) = (e3))) -> (((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) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((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 (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((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). % 11.44/11.62 do 0 intro. intros zenon_H262 zenon_H96 zenon_H68 zenon_H111 zenon_H55 zenon_Hf3 zenon_Ha8 zenon_H17d zenon_H20f zenon_H39 zenon_H38 zenon_Hd5 zenon_Hfe zenon_H140 zenon_H82 zenon_H125 zenon_H157 zenon_H156 zenon_H2b zenon_H66 zenon_H5f zenon_H192 zenon_H10d zenon_Hd8 zenon_H4f zenon_H7e zenon_H167 zenon_H12c. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.44/11.62 apply (zenon_L195_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.44/11.62 apply (zenon_L27_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.44/11.62 apply (zenon_L122_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.44/11.62 apply (zenon_L9_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.44/11.62 apply (zenon_L321_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.44/11.62 apply (zenon_L523_); trivial. % 11.44/11.62 apply (zenon_L525_); trivial. % 11.44/11.62 (* end of lemma zenon_L534_ *) % 11.44/11.62 assert (zenon_L535_ : (((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 (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.44/11.62 do 0 intro. intros zenon_H17d zenon_Hd3 zenon_Hae zenon_H5e zenon_Hb2 zenon_H1f8 zenon_H88 zenon_H1fc zenon_Hf3 zenon_H55 zenon_H111 zenon_H68 zenon_H167. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.44/11.62 apply (zenon_L498_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.44/11.62 apply (zenon_L73_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.44/11.62 apply (zenon_L120_); trivial. % 11.44/11.62 apply (zenon_L121_); trivial. % 11.44/11.62 (* end of lemma zenon_L535_ *) % 11.44/11.62 assert (zenon_L536_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H1c8 zenon_H149 zenon_H140 zenon_H167 zenon_Hae zenon_H125 zenon_H157 zenon_H17d zenon_Ha8 zenon_Hf3 zenon_H111 zenon_H68 zenon_H1fc zenon_H1f8 zenon_Hb2 zenon_H96 zenon_H262 zenon_H117 zenon_H55 zenon_H3f zenon_H5e zenon_Hf8 zenon_H5f zenon_Hc7 zenon_H38 zenon_H82. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.62 apply (zenon_L195_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.44/11.62 apply (zenon_L195_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.44/11.62 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.62 apply (zenon_L27_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.62 apply (zenon_L535_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.62 apply (zenon_L29_); trivial. % 11.44/11.62 apply (zenon_L337_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.44/11.62 apply (zenon_L122_); trivial. % 11.44/11.62 apply (zenon_L466_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.62 apply (zenon_L346_); trivial. % 11.44/11.62 apply (zenon_L338_); trivial. % 11.44/11.62 (* end of lemma zenon_L536_ *) % 11.44/11.62 assert (zenon_L537_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((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)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (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) (op (e2) (e2))) = (e2))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3)))))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H1a0 zenon_H4f zenon_H82 zenon_H38 zenon_Hc7 zenon_H5f zenon_H3f zenon_H117 zenon_H262 zenon_H96 zenon_Hb2 zenon_H1f8 zenon_H1fc zenon_H111 zenon_Hf3 zenon_Ha8 zenon_H17d zenon_H157 zenon_H125 zenon_Hae zenon_H140 zenon_H149 zenon_H1c8 zenon_H186 zenon_H239 zenon_H156 zenon_He8 zenon_H5e zenon_H87 zenon_H55 zenon_H68 zenon_H167 zenon_H12c. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.62 apply (zenon_L116_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.62 apply (zenon_L536_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.62 apply (zenon_L277_); trivial. % 11.44/11.62 apply (zenon_L492_); trivial. % 11.44/11.62 (* end of lemma zenon_L537_ *) % 11.44/11.62 assert (zenon_L538_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H1a6 zenon_H149 zenon_H140 zenon_H167 zenon_H5c zenon_Ha8 zenon_H157 zenon_H68 zenon_H3e zenon_H104 zenon_H103 zenon_H38 zenon_H5f. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.62 apply (zenon_L149_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.62 apply (zenon_L242_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.62 apply (zenon_L77_); trivial. % 11.44/11.62 apply (zenon_L362_); trivial. % 11.44/11.62 (* end of lemma zenon_L538_ *) % 11.44/11.62 assert (zenon_L539_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e0) (e0)) = (e2)) -> False). % 11.44/11.62 do 0 intro. intros zenon_H17d zenon_H5f zenon_H38 zenon_H103 zenon_H104 zenon_H3e zenon_H68 zenon_H157 zenon_Ha8 zenon_H167 zenon_H149 zenon_H1a6 zenon_Hf3 zenon_H55 zenon_H111 zenon_H18f zenon_H135 zenon_H186 zenon_H13e zenon_H140 zenon_Hd8. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.44/11.62 apply (zenon_L538_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.44/11.62 apply (zenon_L73_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.44/11.62 apply (zenon_L120_); trivial. % 11.44/11.62 apply (zenon_L132_); trivial. % 11.44/11.62 (* end of lemma zenon_L539_ *) % 11.44/11.62 assert (zenon_L540_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (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))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.62 do 0 intro. intros zenon_H1a0 zenon_H1f3 zenon_H246 zenon_H9d zenon_H55 zenon_H11f zenon_H68 zenon_H5f zenon_H119 zenon_Ha8 zenon_Ha5 zenon_H111 zenon_Hf3 zenon_H17d zenon_H140 zenon_H3f zenon_H24e zenon_H109 zenon_H22e zenon_H1bf zenon_H252 zenon_Hf0 zenon_H53 zenon_H66 zenon_H2b zenon_H156 zenon_Hfe zenon_Ha9. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.62 apply (zenon_L278_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.62 apply (zenon_L196_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.62 apply (zenon_L196_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.62 exact (zenon_H66 zenon_H65). % 11.44/11.62 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.62 apply (zenon_L92_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.44/11.62 apply (zenon_L301_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.44/11.62 apply (zenon_L29_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.44/11.62 apply (zenon_L97_); trivial. % 11.44/11.62 apply (zenon_L511_); trivial. % 11.44/11.62 apply (zenon_L241_); trivial. % 11.44/11.62 (* end of lemma zenon_L540_ *) % 11.44/11.62 assert (zenon_L541_ : (((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) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> False). % 11.44/11.62 do 0 intro. intros zenon_H243 zenon_Hfe zenon_H129 zenon_H5f zenon_H8d zenon_H69 zenon_H192 zenon_H169 zenon_Hed. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H244 ]. % 11.44/11.62 apply (zenon_L233_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H11a | zenon_intro zenon_H245 ]. % 11.44/11.62 apply (zenon_L102_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H167 | zenon_intro zenon_H11b ]. % 11.44/11.62 apply (zenon_L134_); trivial. % 11.44/11.62 apply (zenon_L287_); trivial. % 11.44/11.62 (* end of lemma zenon_L541_ *) % 11.44/11.62 assert (zenon_L542_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (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 (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((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 (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.44/11.62 do 0 intro. intros zenon_Ha5 zenon_Ha9 zenon_Ha8 zenon_H1b7 zenon_H55 zenon_H9d zenon_H11f zenon_H169 zenon_H192 zenon_H69 zenon_Hfe zenon_H243 zenon_H5f zenon_H1aa zenon_H1bf zenon_H247 zenon_H8d zenon_H12c zenon_H246 zenon_H129 zenon_H1a3. % 11.44/11.62 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.44/11.62 apply (zenon_L38_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.44/11.62 apply (zenon_L161_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.44/11.62 apply (zenon_L35_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.44/11.62 apply (zenon_L541_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.44/11.62 apply (zenon_L292_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.44/11.62 apply (zenon_L164_); trivial. % 11.44/11.62 apply (zenon_L295_); trivial. % 11.44/11.62 (* end of lemma zenon_L542_ *) % 11.44/11.62 assert (zenon_L543_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((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 (e3) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H11f zenon_Ha9 zenon_Hfe zenon_H69 zenon_H99 zenon_H1ac zenon_H5f zenon_H247 zenon_H8d zenon_H12c zenon_Ha3 zenon_H246 zenon_H129 zenon_H1a3. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.44/11.62 apply (zenon_L241_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.44/11.62 apply (zenon_L255_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.44/11.62 apply (zenon_L303_); trivial. % 11.44/11.62 apply (zenon_L295_); trivial. % 11.44/11.62 (* end of lemma zenon_L543_ *) % 11.44/11.62 assert (zenon_L544_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((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 (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.44/11.62 do 0 intro. intros zenon_Ha5 zenon_H125 zenon_H5c zenon_H172 zenon_H3e zenon_H55 zenon_H9d zenon_H11f zenon_Ha9 zenon_Hfe zenon_H69 zenon_H99 zenon_H1ac zenon_H5f zenon_H247 zenon_H8d zenon_H12c zenon_H246 zenon_H129 zenon_H1a3. % 11.44/11.62 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.44/11.62 apply (zenon_L150_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.44/11.62 apply (zenon_L115_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.44/11.62 apply (zenon_L35_); trivial. % 11.44/11.62 apply (zenon_L543_); trivial. % 11.44/11.62 (* end of lemma zenon_L544_ *) % 11.44/11.62 assert (zenon_L545_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((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)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.62 do 0 intro. intros zenon_H1da zenon_H82 zenon_H1bf zenon_H243 zenon_H192 zenon_H169 zenon_H1b7 zenon_Ha8 zenon_H1a3 zenon_H129 zenon_H246 zenon_H12c zenon_H8d zenon_H247 zenon_H5f zenon_H99 zenon_H69 zenon_Hfe zenon_H11f zenon_H9d zenon_H55 zenon_H3e zenon_H172 zenon_H5c zenon_H125 zenon_Ha5 zenon_H1b0 zenon_Ha9. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.44/11.62 apply (zenon_L154_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.44/11.62 apply (zenon_L542_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.44/11.62 apply (zenon_L544_); trivial. % 11.44/11.62 apply (zenon_L158_); trivial. % 11.44/11.62 (* end of lemma zenon_L545_ *) % 11.44/11.62 assert (zenon_L546_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H276 zenon_H5c zenon_H68 zenon_H6f zenon_H99 zenon_Hf0 zenon_H180 zenon_H144 zenon_H5f. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.44/11.62 apply (zenon_L68_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.44/11.62 apply (zenon_L255_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.44/11.62 apply (zenon_L424_); trivial. % 11.44/11.62 apply (zenon_L109_); trivial. % 11.44/11.62 (* end of lemma zenon_L546_ *) % 11.44/11.62 assert (zenon_L547_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (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 (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.44/11.62 do 0 intro. intros zenon_Ha5 zenon_Ha8 zenon_H172 zenon_H3e zenon_H55 zenon_H9d zenon_H11f zenon_Ha9 zenon_Hfe zenon_H5f zenon_H144 zenon_H180 zenon_H99 zenon_H68 zenon_H5c zenon_H276 zenon_H104 zenon_Hf0 zenon_H120 zenon_H1a3 zenon_H246 zenon_H12c zenon_H247 zenon_H119 zenon_H129 zenon_H117. % 11.44/11.62 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.44/11.62 apply (zenon_L38_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.44/11.62 apply (zenon_L115_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.44/11.62 apply (zenon_L35_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.44/11.62 apply (zenon_L241_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.44/11.62 apply (zenon_L546_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.44/11.62 apply (zenon_L77_); trivial. % 11.44/11.62 apply (zenon_L297_); trivial. % 11.44/11.62 (* end of lemma zenon_L547_ *) % 11.44/11.62 assert (zenon_L548_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H271 zenon_H127 zenon_H1ce. % 11.44/11.62 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_Ha9. zenon_intro zenon_H272. % 11.44/11.62 apply (zenon_L174_); trivial. % 11.44/11.62 (* end of lemma zenon_L548_ *) % 11.44/11.62 assert (zenon_L549_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H276 zenon_H13e zenon_H6f zenon_H99 zenon_H23b zenon_H1de zenon_H129 zenon_Ha8 zenon_H55 zenon_H140 zenon_H271 zenon_H1ce. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.44/11.62 apply (zenon_L97_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.44/11.62 apply (zenon_L255_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.44/11.62 apply (zenon_L106_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.44/11.62 apply (zenon_L330_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.44/11.62 apply (zenon_L341_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.44/11.62 apply (zenon_L137_); trivial. % 11.44/11.62 apply (zenon_L548_); trivial. % 11.44/11.62 (* end of lemma zenon_L549_ *) % 11.44/11.62 assert (zenon_L550_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((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 (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e0)) -> False). % 11.44/11.62 do 0 intro. intros zenon_He5 zenon_He4 zenon_H87 zenon_Ha9 zenon_H1b0 zenon_Ha5 zenon_H125 zenon_H5c zenon_H172 zenon_H3e zenon_H9d zenon_H11f zenon_Hfe zenon_H69 zenon_H99 zenon_H5f zenon_H247 zenon_H12c zenon_H246 zenon_H129 zenon_H1a3 zenon_Ha8 zenon_H1b7 zenon_H169 zenon_H192 zenon_H243 zenon_H1bf zenon_H82 zenon_H1da zenon_H3f zenon_H8d. % 11.44/11.62 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.44/11.62 apply (zenon_L65_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.44/11.62 apply (zenon_L263_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.44/11.62 apply (zenon_L545_); trivial. % 11.44/11.62 apply (zenon_L53_); trivial. % 11.44/11.62 (* end of lemma zenon_L550_ *) % 11.44/11.62 assert (zenon_L551_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> (((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 (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (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)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H276 zenon_H68 zenon_H1b0 zenon_Ha5 zenon_H5c zenon_H172 zenon_H3e zenon_H55 zenon_H9d zenon_H11f zenon_H99 zenon_H5f zenon_H247 zenon_H8d zenon_H12c zenon_H246 zenon_H129 zenon_H1a3 zenon_Ha8 zenon_H1b7 zenon_H169 zenon_H192 zenon_H243 zenon_H1bf zenon_H1da zenon_Hf0 zenon_H180 zenon_H157 zenon_H125 zenon_Ha9 zenon_H82 zenon_H13b zenon_H140 zenon_Hfe. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.44/11.62 apply (zenon_L68_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.44/11.62 apply (zenon_L545_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.44/11.62 apply (zenon_L424_); trivial. % 11.44/11.62 apply (zenon_L523_); trivial. % 11.44/11.62 (* end of lemma zenon_L551_ *) % 11.44/11.62 assert (zenon_L552_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H156 zenon_H5f zenon_H2b zenon_H66 zenon_H55 zenon_H68 zenon_H24e zenon_H1f3 zenon_Hd8 zenon_H109 zenon_H140 zenon_H1bf. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.62 apply (zenon_L196_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.62 exact (zenon_H66 zenon_H65). % 11.44/11.62 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.62 apply (zenon_L245_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.44/11.62 apply (zenon_L278_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.44/11.62 apply (zenon_L286_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.44/11.62 apply (zenon_L106_); trivial. % 11.44/11.62 apply (zenon_L164_); trivial. % 11.44/11.62 (* end of lemma zenon_L552_ *) % 11.44/11.62 assert (zenon_L553_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((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 (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H1a0 zenon_H4f zenon_H2b zenon_H1bf zenon_H22e zenon_H109 zenon_H5f zenon_H35 zenon_H24e zenon_He4 zenon_H276 zenon_H125 zenon_Hae zenon_H140 zenon_H156 zenon_He8 zenon_H5e zenon_H87 zenon_H55 zenon_H68 zenon_H12c. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.62 apply (zenon_L116_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.62 apply (zenon_L196_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.62 apply (zenon_L305_); trivial. % 11.44/11.62 apply (zenon_L493_); trivial. % 11.44/11.62 (* end of lemma zenon_L553_ *) % 11.44/11.62 assert (zenon_L554_ : (((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 (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H1c8 zenon_H82 zenon_H1f zenon_H172 zenon_He2 zenon_Hfe zenon_Hf0 zenon_Hc2 zenon_H117. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.62 apply (zenon_L351_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.62 apply (zenon_L309_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.62 apply (zenon_L75_); trivial. % 11.44/11.62 apply (zenon_L226_); trivial. % 11.44/11.62 (* end of lemma zenon_L554_ *) % 11.44/11.62 assert (zenon_L555_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.44/11.62 do 0 intro. intros zenon_H7e zenon_H88 zenon_H66 zenon_H1bf zenon_H1e0 zenon_H68 zenon_H55 zenon_Hfd zenon_H24e zenon_Hfe zenon_He2. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.44/11.62 apply (zenon_L345_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.44/11.62 exact (zenon_H66 zenon_H65). % 11.44/11.62 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.44/11.62 apply (zenon_L347_); trivial. % 11.44/11.62 apply (zenon_L367_); trivial. % 11.44/11.62 (* end of lemma zenon_L555_ *) % 11.44/11.62 assert (zenon_L556_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H24e zenon_Hfe zenon_Hfd zenon_H55 zenon_H68 zenon_Hec zenon_H22e zenon_H1bf. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.44/11.62 apply (zenon_L75_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.44/11.62 apply (zenon_L245_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.44/11.62 apply (zenon_L300_); trivial. % 11.44/11.62 apply (zenon_L164_); trivial. % 11.44/11.62 (* end of lemma zenon_L556_ *) % 11.44/11.62 assert (zenon_L557_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H1c8 zenon_Ha1 zenon_H70 zenon_H11f zenon_Ha8 zenon_H3e zenon_H1bf zenon_H22e zenon_Hec zenon_H68 zenon_H55 zenon_H24e zenon_H1a4 zenon_Hfe. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.62 apply (zenon_L319_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.62 apply (zenon_L243_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.62 apply (zenon_L556_); trivial. % 11.44/11.62 apply (zenon_L233_); trivial. % 11.44/11.62 (* end of lemma zenon_L557_ *) % 11.44/11.62 assert (zenon_L558_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((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)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H1a0 zenon_H140 zenon_H109 zenon_H1f3 zenon_H66 zenon_H156 zenon_H5f zenon_H2b zenon_Hfe zenon_H1a4 zenon_H24e zenon_H55 zenon_H22e zenon_H1bf zenon_H3e zenon_Ha8 zenon_H11f zenon_Ha1 zenon_H1c8 zenon_H70 zenon_H68. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.62 apply (zenon_L552_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.62 apply (zenon_L196_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.62 apply (zenon_L557_); trivial. % 11.44/11.62 apply (zenon_L163_); trivial. % 11.44/11.62 (* end of lemma zenon_L558_ *) % 11.44/11.62 assert (zenon_L559_ : (((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)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.44/11.62 do 0 intro. intros zenon_H232 zenon_Ha8 zenon_Ha2 zenon_H82 zenon_H8d zenon_H149 zenon_H1cc zenon_He2. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H129 | zenon_intro zenon_H233 ]. % 11.44/11.62 apply (zenon_L88_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H234 ]. % 11.44/11.62 apply (zenon_L256_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H12b | zenon_intro zenon_H132 ]. % 11.44/11.62 apply (zenon_L100_); trivial. % 11.44/11.62 apply (zenon_L257_); trivial. % 11.44/11.62 (* end of lemma zenon_L559_ *) % 11.44/11.62 assert (zenon_L560_ : (((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 (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H1c8 zenon_H1f zenon_H172 zenon_He2 zenon_H1cc zenon_H149 zenon_H82 zenon_H232 zenon_H55 zenon_H3f zenon_H5e zenon_Hf8 zenon_H5f zenon_Hc7 zenon_Ha2 zenon_Ha8. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.62 apply (zenon_L351_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.62 apply (zenon_L309_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.62 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.62 apply (zenon_L196_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.62 apply (zenon_L345_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.62 apply (zenon_L29_); trivial. % 11.44/11.62 apply (zenon_L559_); trivial. % 11.44/11.62 apply (zenon_L88_); trivial. % 11.44/11.62 (* end of lemma zenon_L560_ *) % 11.44/11.62 assert (zenon_L561_ : (((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). % 11.44/11.62 do 0 intro. intros zenon_H1c8 zenon_H82 zenon_H1f zenon_H172 zenon_He2 zenon_Hfe zenon_Hf0 zenon_Ha2 zenon_Ha8. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.62 apply (zenon_L351_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.62 apply (zenon_L309_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.62 apply (zenon_L75_); trivial. % 11.44/11.62 apply (zenon_L88_); trivial. % 11.44/11.62 (* end of lemma zenon_L561_ *) % 11.44/11.62 assert (zenon_L562_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H1a0 zenon_H4f zenon_H5f zenon_Hcc zenon_He2 zenon_Hfe zenon_H2b zenon_H82 zenon_H96 zenon_Ha8 zenon_H262 zenon_H276 zenon_H125 zenon_Hae zenon_H140 zenon_H156 zenon_He8 zenon_H5e zenon_H87 zenon_H55 zenon_H68 zenon_H12c. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.62 apply (zenon_L116_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.62 apply (zenon_L196_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.62 apply (zenon_L376_); trivial. % 11.44/11.62 apply (zenon_L493_); trivial. % 11.44/11.62 (* end of lemma zenon_L562_ *) % 11.44/11.62 assert (zenon_L563_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (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)) = (e2)) -> False). % 11.44/11.62 do 0 intro. intros zenon_H7e zenon_H12c zenon_H68 zenon_H55 zenon_H87 zenon_He8 zenon_H156 zenon_H140 zenon_Hae zenon_H125 zenon_H276 zenon_H66 zenon_H1ce zenon_H1e0 zenon_H109 zenon_H1de zenon_H1a4 zenon_H24e zenon_Hcc zenon_Hed. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.62 apply (zenon_L311_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.62 exact (zenon_H66 zenon_H65). % 11.44/11.62 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.62 apply (zenon_L245_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.44/11.62 apply (zenon_L493_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.44/11.62 exact (zenon_H66 zenon_H65). % 11.44/11.62 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.44/11.62 apply (zenon_L318_); trivial. % 11.44/11.62 apply (zenon_L173_); trivial. % 11.44/11.62 (* end of lemma zenon_L563_ *) % 11.44/11.62 assert (zenon_L564_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H1a0 zenon_H1bf zenon_H1f3 zenon_H5f zenon_H2b zenon_H5c zenon_H7e zenon_H12c zenon_H68 zenon_H55 zenon_H87 zenon_He8 zenon_H156 zenon_H140 zenon_Hae zenon_H125 zenon_H276 zenon_H66 zenon_H1ce zenon_H1e0 zenon_H109 zenon_H1de zenon_H1a4 zenon_H24e zenon_Hcc. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.62 apply (zenon_L552_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.62 apply (zenon_L196_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.62 apply (zenon_L68_); trivial. % 11.44/11.62 apply (zenon_L563_); trivial. % 11.44/11.62 (* end of lemma zenon_L564_ *) % 11.44/11.62 assert (zenon_L565_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H1a6 zenon_H3e zenon_H35 zenon_H1a0 zenon_H1bf zenon_H1f3 zenon_H5f zenon_H2b zenon_H5c zenon_H7e zenon_H12c zenon_H68 zenon_H55 zenon_H87 zenon_He8 zenon_H156 zenon_H140 zenon_Hae zenon_H125 zenon_H276 zenon_H66 zenon_H1ce zenon_H1e0 zenon_H109 zenon_H1de zenon_H24e zenon_Hcc. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.62 apply (zenon_L552_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.62 apply (zenon_L242_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.62 apply (zenon_L229_); trivial. % 11.44/11.62 apply (zenon_L564_); trivial. % 11.44/11.62 (* end of lemma zenon_L565_ *) % 11.44/11.62 assert (zenon_L566_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((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)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H1a6 zenon_H35 zenon_H1a0 zenon_H140 zenon_H109 zenon_H1f3 zenon_H66 zenon_H156 zenon_H5f zenon_H2b zenon_Hfe zenon_H24e zenon_H55 zenon_H22e zenon_H1bf zenon_H3e zenon_Ha8 zenon_H11f zenon_Ha1 zenon_H1c8 zenon_H70 zenon_H68. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.62 apply (zenon_L552_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.62 apply (zenon_L242_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.62 apply (zenon_L229_); trivial. % 11.44/11.62 apply (zenon_L558_); trivial. % 11.44/11.62 (* end of lemma zenon_L566_ *) % 11.44/11.62 assert (zenon_L567_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e2) (op (e2) (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) (e1)) = (e2)) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H1a6 zenon_Hb2 zenon_H70 zenon_H125 zenon_H135 zenon_H18f zenon_H140 zenon_Hf3 zenon_H17d zenon_Hae zenon_H69 zenon_H35 zenon_H5f zenon_Ha2 zenon_H68. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.62 apply (zenon_L251_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.62 apply (zenon_L198_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.62 apply (zenon_L229_); trivial. % 11.44/11.62 apply (zenon_L152_); trivial. % 11.44/11.62 (* end of lemma zenon_L567_ *) % 11.44/11.62 assert (zenon_L568_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (op (e2) (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 (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.44/11.62 do 0 intro. intros zenon_H20f zenon_H39 zenon_H2b zenon_Hd5 zenon_Hfe zenon_H17d zenon_H149 zenon_H192 zenon_H1a3 zenon_H38 zenon_H247 zenon_H68 zenon_H140 zenon_H18f zenon_H186 zenon_Hb2 zenon_Hd8 zenon_H66 zenon_H4f zenon_H7e zenon_H82 zenon_He2. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.44/11.62 apply (zenon_L9_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.44/11.62 apply (zenon_L321_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.44/11.62 apply (zenon_L116_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.44/11.62 exact (zenon_H66 zenon_H65). % 11.44/11.62 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.44/11.62 apply (zenon_L360_); trivial. % 11.44/11.62 apply (zenon_L367_); trivial. % 11.44/11.62 apply (zenon_L322_); trivial. % 11.44/11.62 (* end of lemma zenon_L568_ *) % 11.44/11.62 assert (zenon_L569_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H2a4 zenon_H39 zenon_H33 zenon_H1de zenon_H54 zenon_H11b zenon_Ha1 zenon_H12b zenon_H1a3. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H38 | zenon_intro zenon_H2a5 ]. % 11.44/11.62 apply (zenon_L9_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H2a6 ]. % 11.44/11.62 apply (zenon_L182_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H129 ]. % 11.44/11.62 apply (zenon_L261_); trivial. % 11.44/11.62 apply (zenon_L160_); trivial. % 11.44/11.62 (* end of lemma zenon_L569_ *) % 11.44/11.62 assert (zenon_L570_ : (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False). % 11.44/11.62 do 0 intro. intros zenon_H186 zenon_H5b zenon_H144. % 11.44/11.62 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e3)))). % 11.44/11.62 intro zenon_D_pnotp. % 11.44/11.62 apply zenon_H186. % 11.44/11.62 rewrite <- zenon_D_pnotp. % 11.44/11.62 exact zenon_H5b. % 11.44/11.62 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H145]. % 11.44/11.62 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 11.44/11.62 congruence. % 11.44/11.62 apply zenon_Hfa. apply refl_equal. % 11.44/11.62 apply zenon_H145. apply sym_equal. exact zenon_H144. % 11.44/11.62 (* end of lemma zenon_L570_ *) % 11.44/11.62 assert (zenon_L571_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> ((op (e0) (e3)) = (e2)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.44/11.62 do 0 intro. intros zenon_Hc7 zenon_H5f zenon_Hf8 zenon_Hd3 zenon_H1a4 zenon_H35 zenon_H53 zenon_H3f zenon_Hbe. % 11.44/11.62 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.62 apply (zenon_L196_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.62 apply (zenon_L232_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.62 apply (zenon_L193_); trivial. % 11.44/11.62 apply (zenon_L53_); trivial. % 11.44/11.62 (* end of lemma zenon_L571_ *) % 11.44/11.62 assert (zenon_L572_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H1c8 zenon_Ha8 zenon_H96 zenon_Hbe zenon_H3f zenon_H53 zenon_Hf8 zenon_H5f zenon_Hc7 zenon_H82 zenon_H35 zenon_H1a4 zenon_Hfe. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.62 apply (zenon_L195_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.62 apply (zenon_L571_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.62 apply (zenon_L201_); trivial. % 11.44/11.62 apply (zenon_L233_); trivial. % 11.44/11.62 (* end of lemma zenon_L572_ *) % 11.44/11.62 assert (zenon_L573_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False). % 11.44/11.62 do 0 intro. intros zenon_H262 zenon_Ha8 zenon_H96 zenon_Hbe zenon_H3f zenon_H53 zenon_H35 zenon_H1a4 zenon_Hd3 zenon_Hc7 zenon_H82 zenon_H5b zenon_Hfe zenon_Hed. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.44/11.62 apply (zenon_L195_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.44/11.62 apply (zenon_L264_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.44/11.62 apply (zenon_L32_); trivial. % 11.44/11.62 apply (zenon_L241_); trivial. % 11.44/11.62 (* end of lemma zenon_L573_ *) % 11.44/11.62 assert (zenon_L574_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (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) (op (e0) (e3))) = (e3))) -> False). % 11.44/11.62 do 0 intro. intros zenon_H1a0 zenon_H21 zenon_H5f zenon_H1c8 zenon_Hfe zenon_H5b zenon_Hc7 zenon_H1a4 zenon_H53 zenon_H3f zenon_Hbe zenon_H96 zenon_Ha8 zenon_H262 zenon_H82 zenon_H35 zenon_H288. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.62 apply (zenon_L439_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.62 apply (zenon_L572_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.62 apply (zenon_L70_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.62 apply (zenon_L195_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.62 apply (zenon_L573_); trivial. % 11.44/11.62 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.62 apply (zenon_L201_); trivial. % 11.44/11.62 apply (zenon_L448_); trivial. % 11.44/11.62 (* end of lemma zenon_L574_ *) % 11.44/11.62 assert (zenon_L575_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> False). % 11.44/11.63 do 0 intro. intros zenon_H114 zenon_H10d zenon_H88 zenon_Hbe zenon_H11a zenon_H109 zenon_H111 zenon_H112. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H8a | zenon_intro zenon_H115 ]. % 11.44/11.63 apply (zenon_L213_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H55 | zenon_intro zenon_H116 ]. % 11.44/11.63 apply (zenon_L265_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H10c | zenon_intro zenon_Hc0 ]. % 11.44/11.63 apply (zenon_L286_); trivial. % 11.44/11.63 apply (zenon_L80_); trivial. % 11.44/11.63 (* end of lemma zenon_L575_ *) % 11.44/11.63 assert (zenon_L576_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H236 zenon_H16a zenon_H172 zenon_Hd3 zenon_H9d zenon_Hc0 zenon_H1b0. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H237 ]. % 11.44/11.63 apply (zenon_L158_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_He2 | zenon_intro zenon_H238 ]. % 11.44/11.63 apply (zenon_L309_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H127 | zenon_intro zenon_H132 ]. % 11.44/11.63 apply (zenon_L179_); trivial. % 11.44/11.63 apply (zenon_L187_); trivial. % 11.44/11.63 (* end of lemma zenon_L576_ *) % 11.44/11.63 assert (zenon_L577_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> ((op (e0) (e3)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.44/11.63 do 0 intro. intros zenon_Hc7 zenon_H82 zenon_H81 zenon_Hd3 zenon_H1a4 zenon_H10c zenon_H5f zenon_H3f zenon_Hbe. % 11.44/11.63 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.63 apply (zenon_L27_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.63 apply (zenon_L232_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.63 apply (zenon_L208_); trivial. % 11.44/11.63 apply (zenon_L53_); trivial. % 11.44/11.63 (* end of lemma zenon_L577_ *) % 11.44/11.63 assert (zenon_L578_ : (((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) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.44/11.63 do 0 intro. intros zenon_Hc4 zenon_H82 zenon_H2b zenon_Hbd zenon_H9d zenon_H127 zenon_H12b zenon_H12c. % 11.44/11.63 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.44/11.63 apply (zenon_L27_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.44/11.63 exact (zenon_Hbd zenon_Hbc). % 11.44/11.63 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.44/11.63 apply (zenon_L179_); trivial. % 11.44/11.63 apply (zenon_L89_); trivial. % 11.44/11.63 (* end of lemma zenon_L578_ *) % 11.44/11.63 assert (zenon_L579_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.44/11.63 do 0 intro. intros zenon_Ha5 zenon_H96 zenon_H95 zenon_H1b7 zenon_H127 zenon_Ha8 zenon_H119 zenon_Hbe. % 11.44/11.63 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.44/11.63 apply (zenon_L33_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.44/11.63 apply (zenon_L161_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.44/11.63 apply (zenon_L170_); trivial. % 11.44/11.63 apply (zenon_L296_); trivial. % 11.44/11.63 (* end of lemma zenon_L579_ *) % 11.44/11.63 assert (zenon_L580_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H1c8 zenon_H96 zenon_Ha8 zenon_H3e zenon_H104 zenon_H127 zenon_H12b zenon_H1a3. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.63 apply (zenon_L195_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.63 apply (zenon_L243_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.63 apply (zenon_L168_); trivial. % 11.44/11.63 apply (zenon_L160_); trivial. % 11.44/11.63 (* end of lemma zenon_L580_ *) % 11.44/11.63 assert (zenon_L581_ : (((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 (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.44/11.63 do 0 intro. intros zenon_Hc4 zenon_Ha8 zenon_H59 zenon_Hbd zenon_H9d zenon_H127 zenon_H12b zenon_H12c. % 11.44/11.63 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.44/11.63 apply (zenon_L47_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.44/11.63 exact (zenon_Hbd zenon_Hbc). % 11.44/11.63 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.44/11.63 apply (zenon_L179_); trivial. % 11.44/11.63 apply (zenon_L89_); trivial. % 11.44/11.63 (* end of lemma zenon_L581_ *) % 11.44/11.63 assert (zenon_L582_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H1d7 zenon_H16a zenon_H1cc zenon_H172 zenon_H3e zenon_Hed zenon_Hcc zenon_H127 zenon_H1d4. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1d8 ]. % 11.44/11.63 apply (zenon_L171_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H9a | zenon_intro zenon_H1d9 ]. % 11.44/11.63 apply (zenon_L115_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H6f | zenon_intro zenon_He2 ]. % 11.44/11.63 apply (zenon_L173_); trivial. % 11.44/11.63 apply (zenon_L176_); trivial. % 11.44/11.63 (* end of lemma zenon_L582_ *) % 11.44/11.63 assert (zenon_L583_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.44/11.63 do 0 intro. intros zenon_H11f zenon_H1d4 zenon_Hcc zenon_H3e zenon_H172 zenon_H1cc zenon_H16a zenon_H1d7 zenon_H70 zenon_H6d zenon_H1bf zenon_H1b0 zenon_H127. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.44/11.63 apply (zenon_L582_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.44/11.63 apply (zenon_L25_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.44/11.63 apply (zenon_L164_); trivial. % 11.44/11.63 apply (zenon_L166_); trivial. % 11.44/11.63 (* end of lemma zenon_L583_ *) % 11.44/11.63 assert (zenon_L584_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((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 (e3) (e2)) = (e3)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e3) (op (e3) (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H29f zenon_H1f3 zenon_Hbe zenon_H117 zenon_H35 zenon_H3f zenon_Hab zenon_H12c zenon_H9d zenon_Hbd zenon_Hc4 zenon_H1c8 zenon_H127 zenon_H1b0 zenon_H1bf zenon_H1d7 zenon_H1cc zenon_H172 zenon_Hcc zenon_H1d4 zenon_H11f zenon_H104 zenon_H16c zenon_H243 zenon_H5f zenon_H68 zenon_Hfe zenon_H131 zenon_H125 zenon_H1da zenon_Ha8 zenon_H82 zenon_H12b zenon_H1a3 zenon_Ha5 zenon_H95 zenon_H1b7 zenon_H119 zenon_H26d zenon_H1e4. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.44/11.63 apply (zenon_L192_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.44/11.63 apply (zenon_L578_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.44/11.63 apply (zenon_L579_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.44/11.63 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.44/11.63 apply (zenon_L580_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.44/11.63 apply (zenon_L581_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.44/11.63 apply (zenon_L17_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.44/11.63 apply (zenon_L141_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H38 | zenon_intro zenon_H16d ]. % 11.44/11.63 apply (zenon_L432_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8d | zenon_intro zenon_H16e ]. % 11.44/11.63 apply (zenon_L53_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H144 | zenon_intro zenon_H16a ]. % 11.44/11.63 apply (zenon_L269_); trivial. % 11.44/11.63 apply (zenon_L583_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.44/11.63 apply (zenon_L308_); trivial. % 11.44/11.63 apply (zenon_L583_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.63 apply (zenon_L243_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.63 apply (zenon_L201_); trivial. % 11.44/11.63 apply (zenon_L160_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.44/11.63 apply (zenon_L235_); trivial. % 11.44/11.63 apply (zenon_L82_); trivial. % 11.44/11.63 apply (zenon_L185_); trivial. % 11.44/11.63 (* end of lemma zenon_L584_ *) % 11.44/11.63 assert (zenon_L585_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (op (e0) (e3))) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H232 zenon_H288 zenon_Ha8 zenon_Hbe zenon_Hfe zenon_H167 zenon_H1b0. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H129 | zenon_intro zenon_H233 ]. % 11.44/11.63 apply (zenon_L448_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H234 ]. % 11.44/11.63 apply (zenon_L51_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H12b | zenon_intro zenon_H132 ]. % 11.44/11.63 apply (zenon_L138_); trivial. % 11.44/11.63 apply (zenon_L187_); trivial. % 11.44/11.63 (* end of lemma zenon_L585_ *) % 11.44/11.63 assert (zenon_L586_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (op (e0) (e3))) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((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 (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e3)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((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 (e3) (op (e3) (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> False). % 11.44/11.63 do 0 intro. intros zenon_H156 zenon_He8 zenon_H87 zenon_H1b0 zenon_Hfe zenon_Hbe zenon_Ha8 zenon_H288 zenon_H232 zenon_H157 zenon_H6a zenon_H273 zenon_H1a0 zenon_H21 zenon_H5b zenon_H53 zenon_H262 zenon_H23b zenon_H5e zenon_H236 zenon_H1de zenon_Hed zenon_H169 zenon_H114 zenon_H10d zenon_H88 zenon_H109 zenon_H111 zenon_Hc7 zenon_Hd3 zenon_H29f zenon_H1f3 zenon_H117 zenon_H35 zenon_H3f zenon_Hab zenon_H12c zenon_H9d zenon_Hbd zenon_Hc4 zenon_H1c8 zenon_H1bf zenon_H1d7 zenon_H1cc zenon_H172 zenon_Hcc zenon_H1d4 zenon_H11f zenon_H104 zenon_H16c zenon_H243 zenon_H5f zenon_H68 zenon_H131 zenon_H125 zenon_H1da zenon_H82 zenon_H1a3 zenon_Ha5 zenon_H95 zenon_H1b7 zenon_H119 zenon_H26d zenon_H1e4 zenon_H276 zenon_H96 zenon_H81. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.63 apply (zenon_L311_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.63 apply (zenon_L202_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.44/11.63 apply (zenon_L86_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.44/11.63 apply (zenon_L22_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.44/11.63 apply (zenon_L32_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.44/11.63 apply (zenon_L128_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H244 ]. % 11.44/11.63 apply (zenon_L574_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H11a | zenon_intro zenon_H245 ]. % 11.44/11.63 apply (zenon_L575_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H167 | zenon_intro zenon_H11b ]. % 11.44/11.63 apply (zenon_L368_); trivial. % 11.44/11.63 apply (zenon_L287_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.44/11.63 apply (zenon_L345_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H38 | zenon_intro zenon_H16d ]. % 11.44/11.63 apply (zenon_L191_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8d | zenon_intro zenon_H16e ]. % 11.44/11.63 apply (zenon_L53_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H144 | zenon_intro zenon_H16a ]. % 11.44/11.63 apply (zenon_L269_); trivial. % 11.44/11.63 apply (zenon_L576_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H244 ]. % 11.44/11.63 apply (zenon_L577_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H11a | zenon_intro zenon_H245 ]. % 11.44/11.63 apply (zenon_L575_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H167 | zenon_intro zenon_H11b ]. % 11.44/11.63 apply (zenon_L138_); trivial. % 11.44/11.63 apply (zenon_L287_); trivial. % 11.44/11.63 apply (zenon_L584_); trivial. % 11.44/11.63 apply (zenon_L585_); trivial. % 11.44/11.63 apply (zenon_L206_); trivial. % 11.44/11.63 (* end of lemma zenon_L586_ *) % 11.44/11.63 assert (zenon_L587_ : ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (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) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> (((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 (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((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 (e3) (op (e3) (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (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)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (op (e0) (e3))) = (e3))) -> False). % 11.44/11.63 do 0 intro. intros zenon_Hed zenon_Hfe zenon_H5b zenon_Hd5 zenon_H87 zenon_H5e zenon_H20a zenon_H1fc zenon_H1f8 zenon_H99 zenon_Hae zenon_H20c zenon_H156 zenon_He8 zenon_H1b0 zenon_Ha8 zenon_H232 zenon_H157 zenon_H273 zenon_H1a0 zenon_H21 zenon_H262 zenon_H23b zenon_H236 zenon_H1de zenon_H169 zenon_H114 zenon_H10d zenon_H109 zenon_H111 zenon_Hc7 zenon_H29f zenon_H1f3 zenon_H117 zenon_Hab zenon_H12c zenon_H9d zenon_Hbd zenon_Hc4 zenon_H1c8 zenon_H1bf zenon_H1d7 zenon_H1cc zenon_H172 zenon_Hcc zenon_H1d4 zenon_H11f zenon_H104 zenon_H16c zenon_H243 zenon_H5f zenon_H68 zenon_H131 zenon_H125 zenon_H1da zenon_H1a3 zenon_Ha5 zenon_H95 zenon_H1b7 zenon_H119 zenon_H26d zenon_H1e4 zenon_H276 zenon_H96 zenon_H241 zenon_H19a zenon_H53 zenon_H3f zenon_Hbe zenon_H82 zenon_H35 zenon_H288. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.63 apply (zenon_L195_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.44/11.63 apply (zenon_L195_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.44/11.63 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.63 apply (zenon_L27_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.44/11.63 apply (zenon_L243_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.44/11.63 apply (zenon_L285_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.44/11.63 apply (zenon_L586_); trivial. % 11.44/11.63 apply (zenon_L215_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.63 apply (zenon_L193_); trivial. % 11.44/11.63 apply (zenon_L53_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.44/11.63 apply (zenon_L32_); trivial. % 11.44/11.63 apply (zenon_L241_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.63 apply (zenon_L201_); trivial. % 11.44/11.63 apply (zenon_L448_); trivial. % 11.44/11.63 (* end of lemma zenon_L587_ *) % 11.44/11.63 assert (zenon_L588_ : (~((op (e0) (op (e0) (e3))) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (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) (e0)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (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) (e1)) = (op (e3) (e2)))) -> (~((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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (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 (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((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 (e0) (op (e0) (e0))) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (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 (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (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) (e3)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H288 zenon_H35 zenon_H82 zenon_Hbe zenon_H3f zenon_H53 zenon_H19a zenon_H241 zenon_H96 zenon_H276 zenon_H1e4 zenon_H26d zenon_H119 zenon_H1b7 zenon_H95 zenon_Ha5 zenon_H1a3 zenon_H1da zenon_H125 zenon_H131 zenon_H68 zenon_H5f zenon_H243 zenon_H16c zenon_H104 zenon_H11f zenon_H1d4 zenon_H1cc zenon_H1d7 zenon_H1c8 zenon_Hc4 zenon_Hbd zenon_H9d zenon_H12c zenon_Hab zenon_H117 zenon_H1f3 zenon_H29f zenon_Hc7 zenon_H111 zenon_H109 zenon_H10d zenon_H114 zenon_H1de zenon_H23b zenon_H262 zenon_H21 zenon_H1a0 zenon_H273 zenon_H157 zenon_H232 zenon_Ha8 zenon_He8 zenon_H156 zenon_H20c zenon_Hae zenon_H99 zenon_H1f8 zenon_H1fc zenon_H20a zenon_H87 zenon_Hd5 zenon_H5b zenon_Hfe zenon_H5e zenon_H172 zenon_H1bf zenon_H236 zenon_Hcc zenon_H169 zenon_H1ce zenon_H9e zenon_H16a zenon_H1d1 zenon_H1b0. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.44/11.63 apply (zenon_L587_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.44/11.63 apply (zenon_L289_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.44/11.63 apply (zenon_L164_); trivial. % 11.44/11.63 apply (zenon_L386_); trivial. % 11.44/11.63 (* end of lemma zenon_L588_ *) % 11.44/11.63 assert (zenon_L589_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H1fc zenon_H88 zenon_H1f8 zenon_Hf3 zenon_H179 zenon_H140 zenon_He2 zenon_H99. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H13b | zenon_intro zenon_H1fd ]. % 11.44/11.63 apply (zenon_L197_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H6a | zenon_intro zenon_H1fe ]. % 11.44/11.63 apply (zenon_L73_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H69 | zenon_intro zenon_Hda ]. % 11.44/11.63 apply (zenon_L239_); trivial. % 11.44/11.63 apply (zenon_L276_); trivial. % 11.44/11.63 (* end of lemma zenon_L589_ *) % 11.44/11.63 assert (zenon_L590_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> False). % 11.44/11.63 do 0 intro. intros zenon_Ha1 zenon_H129 zenon_H132. % 11.44/11.63 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e3) (e3)))). % 11.44/11.63 intro zenon_D_pnotp. % 11.44/11.63 apply zenon_Ha1. % 11.44/11.63 rewrite <- zenon_D_pnotp. % 11.44/11.63 exact zenon_H129. % 11.44/11.63 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H133]. % 11.44/11.63 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.44/11.63 congruence. % 11.44/11.63 apply zenon_H3b. apply refl_equal. % 11.44/11.63 apply zenon_H133. apply sym_equal. exact zenon_H132. % 11.44/11.63 (* end of lemma zenon_L590_ *) % 11.44/11.63 assert (zenon_L591_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.44/11.63 do 0 intro. intros zenon_H236 zenon_H70 zenon_Ha8 zenon_H99 zenon_H140 zenon_H179 zenon_Hf3 zenon_H1f8 zenon_H88 zenon_H1fc zenon_H11b zenon_H1b0 zenon_Ha1 zenon_H129. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H237 ]. % 11.44/11.63 apply (zenon_L38_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_He2 | zenon_intro zenon_H238 ]. % 11.44/11.63 apply (zenon_L589_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H127 | zenon_intro zenon_H132 ]. % 11.44/11.63 apply (zenon_L166_); trivial. % 11.44/11.63 apply (zenon_L590_); trivial. % 11.44/11.63 (* end of lemma zenon_L591_ *) % 11.44/11.63 assert (zenon_L592_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.44/11.63 do 0 intro. intros zenon_H17d zenon_H125 zenon_H70 zenon_H99 zenon_He2 zenon_H140 zenon_Hf3 zenon_H1f8 zenon_H88 zenon_H1fc zenon_H12c zenon_Hbe. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.44/11.63 apply (zenon_L150_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.44/11.63 apply (zenon_L73_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.44/11.63 apply (zenon_L589_); trivial. % 11.44/11.63 apply (zenon_L290_); trivial. % 11.44/11.63 (* end of lemma zenon_L592_ *) % 11.44/11.63 assert (zenon_L593_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> False). % 11.44/11.63 do 0 intro. intros zenon_H95 zenon_H1f zenon_Hb5. % 11.44/11.63 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e3) (e0)))). % 11.44/11.63 intro zenon_D_pnotp. % 11.44/11.63 apply zenon_H95. % 11.44/11.63 rewrite <- zenon_D_pnotp. % 11.44/11.63 exact zenon_H1f. % 11.44/11.63 cut (((e0) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2a7]. % 11.44/11.63 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 11.44/11.63 congruence. % 11.44/11.63 apply zenon_H98. apply refl_equal. % 11.44/11.63 apply zenon_H2a7. apply sym_equal. exact zenon_Hb5. % 11.44/11.63 (* end of lemma zenon_L593_ *) % 11.44/11.63 assert (zenon_L594_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H283 zenon_H8a zenon_H9d zenon_H70 zenon_H1ce zenon_H11b zenon_H131 zenon_H112 zenon_H286. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H1ac | zenon_intro zenon_H284 ]. % 11.44/11.63 apply (zenon_L156_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H9e | zenon_intro zenon_H285 ]. % 11.44/11.63 apply (zenon_L384_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H103 | zenon_intro zenon_H127 ]. % 11.44/11.63 apply (zenon_L413_); trivial. % 11.44/11.63 apply (zenon_L446_); trivial. % 11.44/11.63 (* end of lemma zenon_L594_ *) % 11.44/11.63 assert (zenon_L595_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H11f zenon_Hfe zenon_H104 zenon_Hf0 zenon_H1d1 zenon_H16a zenon_H169 zenon_H286 zenon_H112 zenon_H131 zenon_H1ce zenon_H9d zenon_H8a zenon_H283 zenon_Hec zenon_H125 zenon_He2 zenon_Hcc. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.44/11.63 apply (zenon_L86_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.44/11.63 apply (zenon_L367_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.44/11.63 apply (zenon_L77_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1d2 ]. % 11.44/11.63 apply (zenon_L110_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H70 | zenon_intro zenon_H1d3 ]. % 11.44/11.63 apply (zenon_L594_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_Hed | zenon_intro zenon_Ha9 ]. % 11.44/11.63 apply (zenon_L86_); trivial. % 11.44/11.63 apply (zenon_L375_); trivial. % 11.44/11.63 (* end of lemma zenon_L595_ *) % 11.44/11.63 assert (zenon_L596_ : (((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)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (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 (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H1da zenon_H1f zenon_H95 zenon_H82 zenon_H11f zenon_Hfe zenon_H104 zenon_Hf0 zenon_H1d1 zenon_H169 zenon_H286 zenon_H112 zenon_H131 zenon_H1ce zenon_H9d zenon_H8a zenon_H283 zenon_Hec zenon_H125 zenon_He2 zenon_Hcc. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.44/11.63 apply (zenon_L593_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.44/11.63 apply (zenon_L322_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.44/11.63 apply (zenon_L156_); trivial. % 11.44/11.63 apply (zenon_L595_); trivial. % 11.44/11.63 (* end of lemma zenon_L596_ *) % 11.44/11.63 assert (zenon_L597_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (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)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (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))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H157 zenon_H99 zenon_Hcc zenon_He2 zenon_H125 zenon_Hec zenon_H283 zenon_H8a zenon_H9d zenon_H1ce zenon_H131 zenon_H286 zenon_H169 zenon_H1d1 zenon_Hf0 zenon_H104 zenon_Hfe zenon_H11f zenon_H82 zenon_H95 zenon_H1f zenon_H1da zenon_H149. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.44/11.63 apply (zenon_L93_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.44/11.63 apply (zenon_L276_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.44/11.63 apply (zenon_L596_); trivial. % 11.44/11.63 apply (zenon_L100_); trivial. % 11.44/11.63 (* end of lemma zenon_L597_ *) % 11.44/11.63 assert (zenon_L598_ : (((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)))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.44/11.63 do 0 intro. intros zenon_H11f zenon_Hec zenon_H125 zenon_H5f zenon_H1aa zenon_H1bf zenon_H1b0 zenon_H127. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.44/11.63 apply (zenon_L86_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.44/11.63 apply (zenon_L292_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.44/11.63 apply (zenon_L164_); trivial. % 11.44/11.63 apply (zenon_L166_); trivial. % 11.44/11.63 (* end of lemma zenon_L598_ *) % 11.44/11.63 assert (zenon_L599_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H19a zenon_H3f zenon_H241 zenon_Hbe zenon_Hcc zenon_Hec zenon_Hfe zenon_H2b zenon_H82 zenon_H96 zenon_Ha8 zenon_H262 zenon_Hbd zenon_H33 zenon_H19b zenon_H1b7. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.44/11.63 apply (zenon_L10_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.44/11.63 apply (zenon_L285_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.44/11.63 apply (zenon_L58_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.44/11.63 exact (zenon_Hbd zenon_Hbc). % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.44/11.63 apply (zenon_L128_); trivial. % 11.44/11.63 apply (zenon_L376_); trivial. % 11.44/11.63 apply (zenon_L161_); trivial. % 11.44/11.63 (* end of lemma zenon_L599_ *) % 11.44/11.63 assert (zenon_L600_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (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))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.44/11.63 do 0 intro. intros zenon_H26d zenon_H1b7 zenon_H19b zenon_Hbd zenon_H262 zenon_Ha8 zenon_H82 zenon_H2b zenon_Hfe zenon_Hec zenon_Hcc zenon_H241 zenon_H19a zenon_H3f zenon_H33 zenon_Hf0 zenon_H68 zenon_H117 zenon_Hbe. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.44/11.63 apply (zenon_L599_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.44/11.63 apply (zenon_L10_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.44/11.63 apply (zenon_L71_); trivial. % 11.44/11.63 apply (zenon_L82_); trivial. % 11.44/11.63 (* end of lemma zenon_L600_ *) % 11.44/11.63 assert (zenon_L601_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H19a zenon_H82 zenon_H38 zenon_Hf0 zenon_Hfe zenon_Ha8 zenon_H96 zenon_H1c8 zenon_H241 zenon_Hbe zenon_Hf3 zenon_H1b7. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.44/11.63 apply (zenon_L515_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.44/11.63 apply (zenon_L285_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.44/11.63 apply (zenon_L73_); trivial. % 11.44/11.63 apply (zenon_L161_); trivial. % 11.44/11.63 (* end of lemma zenon_L601_ *) % 11.44/11.63 assert (zenon_L602_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e3)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.44/11.63 do 0 intro. intros zenon_H146 zenon_H135 zenon_H82 zenon_Hda zenon_Hec zenon_H140 zenon_H1a3 zenon_H38. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.44/11.63 apply (zenon_L94_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.44/11.63 apply (zenon_L95_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.44/11.63 apply (zenon_L97_); trivial. % 11.44/11.63 apply (zenon_L354_); trivial. % 11.44/11.63 (* end of lemma zenon_L602_ *) % 11.44/11.63 assert (zenon_L603_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.44/11.63 do 0 intro. intros zenon_H232 zenon_H82 zenon_H38 zenon_Ha8 zenon_Hbe zenon_H149 zenon_H1cc zenon_He2. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H129 | zenon_intro zenon_H233 ]. % 11.44/11.63 apply (zenon_L338_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H234 ]. % 11.44/11.63 apply (zenon_L51_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H12b | zenon_intro zenon_H132 ]. % 11.44/11.63 apply (zenon_L100_); trivial. % 11.44/11.63 apply (zenon_L257_); trivial. % 11.44/11.63 (* end of lemma zenon_L603_ *) % 11.44/11.63 assert (zenon_L604_ : (((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 (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H19a zenon_H68 zenon_H5e zenon_H241 zenon_Hbe zenon_Hb2 zenon_H5c zenon_H1b7. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.44/11.63 apply (zenon_L242_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.44/11.63 apply (zenon_L285_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.44/11.63 apply (zenon_L41_); trivial. % 11.44/11.63 apply (zenon_L161_); trivial. % 11.44/11.63 (* end of lemma zenon_L604_ *) % 11.44/11.63 assert (zenon_L605_ : (((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) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H20c zenon_H2b zenon_Hd5 zenon_H241 zenon_Hbe zenon_H10d zenon_H10c zenon_Hbd. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H88 | zenon_intro zenon_H20d ]. % 11.44/11.63 apply (zenon_L321_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H44 | zenon_intro zenon_H20e ]. % 11.44/11.63 apply (zenon_L285_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H65 | zenon_intro zenon_Hbc ]. % 11.44/11.63 apply (zenon_L79_); trivial. % 11.44/11.63 exact (zenon_Hbd zenon_Hbc). % 11.44/11.63 (* end of lemma zenon_L605_ *) % 11.44/11.63 assert (zenon_L606_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H19b zenon_H88 zenon_Hbd zenon_H69 zenon_H232 zenon_Hfe zenon_H1a4 zenon_Ha8 zenon_Hbe zenon_H149 zenon_H1cc. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.44/11.63 apply (zenon_L232_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.44/11.63 exact (zenon_Hbd zenon_Hbc). % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.44/11.63 apply (zenon_L211_); trivial. % 11.44/11.63 apply (zenon_L268_); trivial. % 11.44/11.63 (* end of lemma zenon_L606_ *) % 11.44/11.63 assert (zenon_L607_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> (((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). % 11.44/11.63 do 0 intro. intros zenon_H1c8 zenon_H82 zenon_H1f zenon_Hbe zenon_H3f zenon_H5f zenon_H10c zenon_Hf8 zenon_Hc7 zenon_Ha8 zenon_H54 zenon_H1a4 zenon_Hfe. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.63 apply (zenon_L351_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.63 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.63 apply (zenon_L196_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.63 apply (zenon_L232_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.63 apply (zenon_L208_); trivial. % 11.44/11.63 apply (zenon_L53_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.63 apply (zenon_L392_); trivial. % 11.44/11.63 apply (zenon_L233_); trivial. % 11.44/11.63 (* end of lemma zenon_L607_ *) % 11.44/11.63 assert (zenon_L608_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e2)) -> ((op (e0) (e3)) = (e2)) -> ((op (e0) (e1)) = (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))) -> ((op (e3) (e0)) = (e2)) -> False). % 11.44/11.63 do 0 intro. intros zenon_H262 zenon_H1f zenon_Hbe zenon_H3f zenon_H5f zenon_H10c zenon_H1a4 zenon_Hd3 zenon_H82 zenon_Hc7 zenon_Ha8 zenon_H5c zenon_Hfe zenon_Hed. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.44/11.63 apply (zenon_L351_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.44/11.63 apply (zenon_L577_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.44/11.63 apply (zenon_L119_); trivial. % 11.44/11.63 apply (zenon_L241_); trivial. % 11.44/11.63 (* end of lemma zenon_L608_ *) % 11.44/11.63 assert (zenon_L609_ : (((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))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H19b zenon_Ha8 zenon_H3e zenon_Hbd zenon_H5c zenon_Hd8 zenon_Ha9 zenon_Hcc. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.44/11.63 apply (zenon_L243_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.44/11.63 exact (zenon_Hbd zenon_Hbc). % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.44/11.63 apply (zenon_L62_); trivial. % 11.44/11.63 apply (zenon_L375_); trivial. % 11.44/11.63 (* end of lemma zenon_L609_ *) % 11.44/11.63 assert (zenon_L610_ : (((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)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> (~((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)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H19a zenon_Hcc zenon_Ha9 zenon_Hd8 zenon_Hbd zenon_Ha8 zenon_H19b zenon_H241 zenon_Hbe zenon_Hb2 zenon_H5c zenon_H1b7. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.44/11.63 apply (zenon_L609_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.44/11.63 apply (zenon_L285_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.44/11.63 apply (zenon_L41_); trivial. % 11.44/11.63 apply (zenon_L161_); trivial. % 11.44/11.63 (* end of lemma zenon_L610_ *) % 11.44/11.63 assert (zenon_L611_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H271 zenon_He2 zenon_Hcc. % 11.44/11.63 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_Ha9. zenon_intro zenon_H272. % 11.44/11.63 apply (zenon_L375_); trivial. % 11.44/11.63 (* end of lemma zenon_L611_ *) % 11.44/11.63 assert (zenon_L612_ : (((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) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H19b zenon_Ha8 zenon_H3e zenon_Hbd zenon_Hfe zenon_H69 zenon_H271 zenon_Hcc. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.44/11.63 apply (zenon_L243_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.44/11.63 exact (zenon_Hbd zenon_Hbc). % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.44/11.63 apply (zenon_L211_); trivial. % 11.44/11.63 apply (zenon_L611_); trivial. % 11.44/11.63 (* end of lemma zenon_L612_ *) % 11.44/11.63 assert (zenon_L613_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.63 do 0 intro. intros zenon_H16c zenon_H82 zenon_H129 zenon_Hbe zenon_H3f zenon_H5f zenon_H167 zenon_H1b0 zenon_Ha9. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H38 | zenon_intro zenon_H16d ]. % 11.44/11.63 apply (zenon_L338_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8d | zenon_intro zenon_H16e ]. % 11.44/11.63 apply (zenon_L53_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H144 | zenon_intro zenon_H16a ]. % 11.44/11.63 apply (zenon_L109_); trivial. % 11.44/11.63 apply (zenon_L158_); trivial. % 11.44/11.63 (* end of lemma zenon_L613_ *) % 11.44/11.63 assert (zenon_L614_ : (((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) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H157 zenon_H125 zenon_Ha9 zenon_Hd3 zenon_Hae zenon_Hc0 zenon_H111 zenon_H129 zenon_H1a3. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.44/11.63 apply (zenon_L355_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.44/11.63 apply (zenon_L199_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.44/11.63 apply (zenon_L80_); trivial. % 11.44/11.63 apply (zenon_L160_); trivial. % 11.44/11.63 (* end of lemma zenon_L614_ *) % 11.44/11.63 assert (zenon_L615_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H262 zenon_H82 zenon_H1f zenon_Ha8 zenon_H59 zenon_Hfe zenon_Hec zenon_He2 zenon_Hcc. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.44/11.63 apply (zenon_L351_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.44/11.63 apply (zenon_L47_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.44/11.63 apply (zenon_L93_); trivial. % 11.44/11.63 apply (zenon_L375_); trivial. % 11.44/11.63 (* end of lemma zenon_L615_ *) % 11.44/11.63 assert (zenon_L616_ : (((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)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.44/11.63 do 0 intro. intros zenon_H157 zenon_H125 zenon_Ha9 zenon_H82 zenon_H13b zenon_Hc0 zenon_H111 zenon_H129 zenon_H1a3. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.44/11.63 apply (zenon_L355_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.44/11.63 apply (zenon_L95_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.44/11.63 apply (zenon_L80_); trivial. % 11.44/11.63 apply (zenon_L160_); trivial. % 11.44/11.63 (* end of lemma zenon_L616_ *) % 11.44/11.63 assert (zenon_L617_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.63 do 0 intro. intros zenon_H16c zenon_H82 zenon_H129 zenon_Hbe zenon_H3f zenon_H5b zenon_H186 zenon_H1b0 zenon_Ha9. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H38 | zenon_intro zenon_H16d ]. % 11.44/11.63 apply (zenon_L338_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8d | zenon_intro zenon_H16e ]. % 11.44/11.63 apply (zenon_L53_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H144 | zenon_intro zenon_H16a ]. % 11.44/11.63 apply (zenon_L570_); trivial. % 11.44/11.63 apply (zenon_L158_); trivial. % 11.44/11.63 (* end of lemma zenon_L617_ *) % 11.44/11.63 assert (zenon_L618_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> False). % 11.44/11.63 do 0 intro. intros zenon_H176 zenon_H1aa zenon_H172 zenon_H9a zenon_H65 zenon_H87 zenon_Hae zenon_Hda. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33 | zenon_intro zenon_H177 ]. % 11.44/11.63 apply (zenon_L155_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H3e | zenon_intro zenon_H178 ]. % 11.44/11.63 apply (zenon_L115_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H5e | zenon_intro zenon_Hd3 ]. % 11.44/11.63 apply (zenon_L202_); trivial. % 11.44/11.63 apply (zenon_L199_); trivial. % 11.44/11.63 (* end of lemma zenon_L618_ *) % 11.44/11.63 assert (zenon_L619_ : (((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))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e0)) -> False). % 11.44/11.63 do 0 intro. intros zenon_H19b zenon_Ha8 zenon_H3e zenon_Hbd zenon_H5c zenon_Hd8 zenon_H82 zenon_H1aa. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.44/11.63 apply (zenon_L243_); trivial. % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.44/11.63 exact (zenon_Hbd zenon_Hbc). % 11.44/11.63 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.44/11.63 apply (zenon_L62_); trivial. % 11.44/11.64 apply (zenon_L322_); trivial. % 11.44/11.64 (* end of lemma zenon_L619_ *) % 11.44/11.64 assert (zenon_L620_ : (((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 (e3) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H236 zenon_H125 zenon_H93 zenon_H1aa zenon_H82 zenon_H9e zenon_Ha8 zenon_Ha1 zenon_H129. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H237 ]. % 11.44/11.64 apply (zenon_L355_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_He2 | zenon_intro zenon_H238 ]. % 11.44/11.64 apply (zenon_L322_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H127 | zenon_intro zenon_H132 ]. % 11.44/11.64 apply (zenon_L170_); trivial. % 11.44/11.64 apply (zenon_L590_); trivial. % 11.44/11.64 (* end of lemma zenon_L620_ *) % 11.44/11.64 assert (zenon_L621_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((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 (e0) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.44/11.64 do 0 intro. intros zenon_Ha5 zenon_H96 zenon_H95 zenon_Hda zenon_Hae zenon_H87 zenon_H65 zenon_H172 zenon_H176 zenon_H129 zenon_Ha1 zenon_Ha8 zenon_H82 zenon_H1aa zenon_H125 zenon_H236 zenon_H22e zenon_H160 zenon_H19b zenon_H3e zenon_Hbd zenon_Hd8 zenon_H186 zenon_H144 zenon_H18f zenon_H119 zenon_Hbe. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.44/11.64 apply (zenon_L33_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.44/11.64 apply (zenon_L618_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H5b | zenon_intro zenon_H190 ]. % 11.44/11.64 apply (zenon_L570_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H5c | zenon_intro zenon_H191 ]. % 11.44/11.64 apply (zenon_L619_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hec | zenon_intro zenon_H93 ]. % 11.44/11.64 apply (zenon_L300_); trivial. % 11.44/11.64 apply (zenon_L620_); trivial. % 11.44/11.64 apply (zenon_L296_); trivial. % 11.44/11.64 (* end of lemma zenon_L621_ *) % 11.44/11.64 assert (zenon_L622_ : (~((e0) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (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) (e0)) = (op (e2) (e2)))) -> (((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 (e0) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e0)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H5f zenon_Ha5 zenon_H96 zenon_H95 zenon_Hae zenon_H87 zenon_H65 zenon_H172 zenon_H176 zenon_H129 zenon_Ha1 zenon_Ha8 zenon_H125 zenon_H236 zenon_H22e zenon_H19b zenon_H3e zenon_Hbd zenon_Hd8 zenon_H186 zenon_H18f zenon_H119 zenon_Hbe zenon_Hfe zenon_H27a zenon_H276 zenon_H180 zenon_H35 zenon_H16c zenon_H3f zenon_H1b0 zenon_Ha9 zenon_H146 zenon_H82 zenon_H1aa. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.44/11.64 apply (zenon_L243_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.44/11.64 exact (zenon_Hbd zenon_Hbc). % 11.44/11.64 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.44/11.64 apply (zenon_L617_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.44/11.64 apply (zenon_L95_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.44/11.64 apply (zenon_L123_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.44/11.64 apply (zenon_L429_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.44/11.64 apply (zenon_L211_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.44/11.64 apply (zenon_L621_); trivial. % 11.44/11.64 apply (zenon_L109_); trivial. % 11.44/11.64 apply (zenon_L322_); trivial. % 11.44/11.64 (* end of lemma zenon_L622_ *) % 11.44/11.64 assert (zenon_L623_ : ((op (e3) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((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)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H1aa zenon_H82 zenon_H146 zenon_Ha9 zenon_H1b0 zenon_H3f zenon_H16c zenon_H35 zenon_H180 zenon_H276 zenon_H27a zenon_Hfe zenon_Hbe zenon_H119 zenon_H18f zenon_H186 zenon_Hd8 zenon_Hbd zenon_H19b zenon_H22e zenon_H236 zenon_H125 zenon_Ha8 zenon_Ha1 zenon_H129 zenon_H176 zenon_H172 zenon_H95 zenon_H96 zenon_Ha5 zenon_H5f zenon_H65 zenon_H87 zenon_Hae zenon_Hda. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33 | zenon_intro zenon_H177 ]. % 11.44/11.64 apply (zenon_L155_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H3e | zenon_intro zenon_H178 ]. % 11.44/11.64 apply (zenon_L622_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H5e | zenon_intro zenon_Hd3 ]. % 11.44/11.64 apply (zenon_L202_); trivial. % 11.44/11.64 apply (zenon_L199_); trivial. % 11.44/11.64 (* end of lemma zenon_L623_ *) % 11.44/11.64 assert (zenon_L624_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H1da zenon_H180 zenon_H1f8 zenon_H88 zenon_H125 zenon_H146 zenon_H5f zenon_H192 zenon_H167 zenon_H10c zenon_H10d zenon_Hd8 zenon_H4f zenon_H7e zenon_H35 zenon_H104 zenon_H1b0 zenon_Ha9. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.44/11.64 apply (zenon_L212_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.44/11.64 apply (zenon_L524_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.44/11.64 apply (zenon_L308_); trivial. % 11.44/11.64 apply (zenon_L158_); trivial. % 11.44/11.64 (* end of lemma zenon_L624_ *) % 11.44/11.64 assert (zenon_L625_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H11f zenon_Ha9 zenon_Hfe zenon_H5f zenon_H1aa zenon_H1bf zenon_H246 zenon_H167. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.44/11.64 apply (zenon_L241_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.44/11.64 apply (zenon_L292_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.44/11.64 apply (zenon_L164_); trivial. % 11.44/11.64 apply (zenon_L294_); trivial. % 11.44/11.64 (* end of lemma zenon_L625_ *) % 11.44/11.64 assert (zenon_L626_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H183 zenon_H1ac zenon_H104 zenon_H179 zenon_H160 zenon_H180 zenon_H53 zenon_Hc0. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H35 | zenon_intro zenon_H184 ]. % 11.44/11.64 apply (zenon_L308_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H54 | zenon_intro zenon_H185 ]. % 11.44/11.64 apply (zenon_L124_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfd ]. % 11.44/11.64 apply (zenon_L424_); trivial. % 11.44/11.64 apply (zenon_L125_); trivial. % 11.44/11.64 (* end of lemma zenon_L626_ *) % 11.44/11.64 assert (zenon_L627_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H1da zenon_H82 zenon_H167 zenon_H246 zenon_H1bf zenon_H5f zenon_Hfe zenon_H11f zenon_Hc0 zenon_H53 zenon_H180 zenon_H160 zenon_H179 zenon_H104 zenon_H183 zenon_H1b0 zenon_Ha9. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.44/11.64 apply (zenon_L154_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.44/11.64 apply (zenon_L625_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.44/11.64 apply (zenon_L626_); trivial. % 11.44/11.64 apply (zenon_L158_); trivial. % 11.44/11.64 (* end of lemma zenon_L627_ *) % 11.44/11.64 assert (zenon_L628_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False). % 11.44/11.64 do 0 intro. intros zenon_H24e zenon_H1f3 zenon_H35 zenon_H7e zenon_H4f zenon_Hd8 zenon_H10d zenon_H192 zenon_H146 zenon_H125 zenon_H88 zenon_H1f8 zenon_Ha9 zenon_H1b0 zenon_H183 zenon_H104 zenon_H179 zenon_H180 zenon_H53 zenon_Hc0 zenon_H11f zenon_Hfe zenon_H5f zenon_H246 zenon_H167 zenon_H82 zenon_H1da zenon_H1bf. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.44/11.64 apply (zenon_L278_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.44/11.64 apply (zenon_L624_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.44/11.64 apply (zenon_L627_); trivial. % 11.44/11.64 apply (zenon_L164_); trivial. % 11.44/11.64 (* end of lemma zenon_L628_ *) % 11.44/11.64 assert (zenon_L629_ : (((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))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e2)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H19b zenon_Ha8 zenon_H3e zenon_Hbd zenon_H5c zenon_Hd8 zenon_Hfe zenon_H6f. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.44/11.64 apply (zenon_L243_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.44/11.64 exact (zenon_Hbd zenon_Hbc). % 11.44/11.64 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.44/11.64 apply (zenon_L62_); trivial. % 11.44/11.64 apply (zenon_L367_); trivial. % 11.44/11.64 (* end of lemma zenon_L629_ *) % 11.44/11.64 assert (zenon_L630_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e2)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H1da zenon_H1e4 zenon_H5f zenon_H6f zenon_Hc0 zenon_H53 zenon_H180 zenon_H160 zenon_H179 zenon_H104 zenon_H183 zenon_H1b0 zenon_Ha9. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.44/11.64 apply (zenon_L185_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.44/11.64 apply (zenon_L292_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.44/11.64 apply (zenon_L626_); trivial. % 11.44/11.64 apply (zenon_L158_); trivial. % 11.44/11.64 (* end of lemma zenon_L630_ *) % 11.44/11.64 assert (zenon_L631_ : (((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))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.44/11.64 do 0 intro. intros zenon_H19b zenon_Ha8 zenon_H3e zenon_Hbd zenon_H82 zenon_H13b zenon_H271 zenon_Hcc. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.44/11.64 apply (zenon_L243_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.44/11.64 exact (zenon_Hbd zenon_Hbc). % 11.44/11.64 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.44/11.64 apply (zenon_L95_); trivial. % 11.44/11.64 apply (zenon_L611_); trivial. % 11.44/11.64 (* end of lemma zenon_L631_ *) % 11.44/11.64 assert (zenon_L632_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> (~((e2) = (e3))) -> (~((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)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.44/11.64 do 0 intro. intros zenon_H7e zenon_H4f zenon_Hd8 zenon_H10d zenon_H10c zenon_Hcc zenon_H271 zenon_Hfe zenon_Hbd zenon_H3e zenon_Ha8 zenon_H19b zenon_H1aa zenon_H5f. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.44/11.64 apply (zenon_L116_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.44/11.64 apply (zenon_L79_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.44/11.64 apply (zenon_L612_); trivial. % 11.44/11.64 apply (zenon_L292_); trivial. % 11.44/11.64 (* end of lemma zenon_L632_ *) % 11.44/11.64 assert (zenon_L633_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H1a0 zenon_H4f zenon_H5e zenon_H5f zenon_H2b zenon_H5c zenon_H68 zenon_Hfe zenon_Ha9. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.64 apply (zenon_L116_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.64 apply (zenon_L196_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.64 apply (zenon_L68_); trivial. % 11.44/11.64 apply (zenon_L241_); trivial. % 11.44/11.64 (* end of lemma zenon_L633_ *) % 11.44/11.64 assert (zenon_L634_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.44/11.64 do 0 intro. intros zenon_H1c8 zenon_H82 zenon_H1f zenon_Ha8 zenon_H3e zenon_H104 zenon_H127 zenon_H1a4 zenon_Hfe. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.64 apply (zenon_L351_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.64 apply (zenon_L243_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.64 apply (zenon_L168_); trivial. % 11.44/11.64 apply (zenon_L233_); trivial. % 11.44/11.64 (* end of lemma zenon_L634_ *) % 11.44/11.64 assert (zenon_L635_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.44/11.64 do 0 intro. intros zenon_Ha5 zenon_H1b0 zenon_Hfe zenon_H172 zenon_H5e zenon_H68 zenon_H11f zenon_H1b7 zenon_H127 zenon_Ha8 zenon_H119 zenon_Hbe. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.44/11.64 apply (zenon_L436_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.44/11.64 apply (zenon_L161_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.44/11.64 apply (zenon_L170_); trivial. % 11.44/11.64 apply (zenon_L296_); trivial. % 11.44/11.64 (* end of lemma zenon_L635_ *) % 11.44/11.64 assert (zenon_L636_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.44/11.64 do 0 intro. intros zenon_Ha5 zenon_H125 zenon_H5c zenon_H20a zenon_H44 zenon_H127 zenon_Ha8 zenon_H119 zenon_Hbe. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.44/11.64 apply (zenon_L150_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.44/11.64 apply (zenon_L214_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.44/11.64 apply (zenon_L170_); trivial. % 11.44/11.64 apply (zenon_L296_); trivial. % 11.44/11.64 (* end of lemma zenon_L636_ *) % 11.44/11.64 assert (zenon_L637_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H19a zenon_Hbe zenon_H119 zenon_Ha8 zenon_H127 zenon_H125 zenon_Ha5 zenon_Hb2 zenon_H5c zenon_H20c zenon_Hd3 zenon_Hae zenon_H99 zenon_H1f8 zenon_H1fc zenon_H20a zenon_H5e zenon_H87 zenon_Hd5 zenon_H81. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.44/11.64 apply (zenon_L243_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.44/11.64 apply (zenon_L636_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.44/11.64 apply (zenon_L41_); trivial. % 11.44/11.64 apply (zenon_L215_); trivial. % 11.44/11.64 (* end of lemma zenon_L637_ *) % 11.44/11.64 assert (zenon_L638_ : (((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 (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.44/11.64 do 0 intro. intros zenon_H262 zenon_H82 zenon_H1f zenon_Hd5 zenon_H87 zenon_H5e zenon_H20a zenon_H1fc zenon_H1f8 zenon_H99 zenon_Hae zenon_Hd3 zenon_H20c zenon_Hb2 zenon_Ha5 zenon_H125 zenon_H119 zenon_Hbe zenon_H19a zenon_Ha8 zenon_H5c zenon_H127 zenon_H1ce. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.44/11.64 apply (zenon_L351_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.44/11.64 apply (zenon_L637_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.44/11.64 apply (zenon_L119_); trivial. % 11.44/11.64 apply (zenon_L174_); trivial. % 11.44/11.64 (* end of lemma zenon_L638_ *) % 11.44/11.64 assert (zenon_L639_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.44/11.64 do 0 intro. intros zenon_H1a6 zenon_H1f zenon_H127 zenon_H1b0 zenon_Hfe zenon_H172 zenon_H70 zenon_H11f zenon_H54 zenon_H68 zenon_H38 zenon_H5f. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.64 apply (zenon_L533_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.64 apply (zenon_L436_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.64 apply (zenon_L71_); trivial. % 11.44/11.64 apply (zenon_L362_); trivial. % 11.44/11.64 (* end of lemma zenon_L639_ *) % 11.44/11.64 assert (zenon_L640_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((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 (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((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)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.44/11.64 do 0 intro. intros zenon_Hab zenon_H3f zenon_H12c zenon_H12b zenon_H9d zenon_Hbd zenon_Hc4 zenon_H1c8 zenon_H1ce zenon_H19a zenon_Hbe zenon_H119 zenon_H125 zenon_Ha5 zenon_Hb2 zenon_H20c zenon_Hae zenon_H99 zenon_H1f8 zenon_H1fc zenon_H20a zenon_H87 zenon_Hd5 zenon_H262 zenon_Ha8 zenon_H82 zenon_H1a6 zenon_H1f zenon_H127 zenon_H1b0 zenon_Hfe zenon_H172 zenon_H11f zenon_H54 zenon_H68 zenon_H38 zenon_H5f. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.44/11.64 apply (zenon_L350_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.44/11.64 apply (zenon_L581_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.64 apply (zenon_L533_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.64 apply (zenon_L351_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.64 apply (zenon_L638_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.64 apply (zenon_L392_); trivial. % 11.44/11.64 apply (zenon_L338_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.64 apply (zenon_L71_); trivial. % 11.44/11.64 apply (zenon_L362_); trivial. % 11.44/11.64 apply (zenon_L639_); trivial. % 11.44/11.64 (* end of lemma zenon_L640_ *) % 11.44/11.64 assert (zenon_L641_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e0)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H16c zenon_H5f zenon_H68 zenon_H54 zenon_H11f zenon_H172 zenon_Hfe zenon_H1b0 zenon_H127 zenon_H1f zenon_H1a6 zenon_Ha8 zenon_H262 zenon_Hd5 zenon_H87 zenon_H20a zenon_H1fc zenon_H1f8 zenon_H99 zenon_Hae zenon_H20c zenon_Hb2 zenon_Ha5 zenon_H125 zenon_H119 zenon_Hbe zenon_H19a zenon_H1ce zenon_H1c8 zenon_Hc4 zenon_Hbd zenon_H9d zenon_H12c zenon_H3f zenon_Hab zenon_H109 zenon_H8a zenon_H82 zenon_H12b zenon_H1cc zenon_H1aa. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H38 | zenon_intro zenon_H16d ]. % 11.44/11.64 apply (zenon_L640_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8d | zenon_intro zenon_H16e ]. % 11.44/11.64 apply (zenon_L78_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H144 | zenon_intro zenon_H16a ]. % 11.44/11.64 apply (zenon_L269_); trivial. % 11.44/11.64 apply (zenon_L171_); trivial. % 11.44/11.64 (* end of lemma zenon_L641_ *) % 11.44/11.64 assert (zenon_L642_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((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). % 11.44/11.64 do 0 intro. intros zenon_H1d1 zenon_H16a zenon_H169 zenon_H9a zenon_H6f zenon_Hcc zenon_H127 zenon_H1ce. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1d2 ]. % 11.44/11.64 apply (zenon_L110_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H70 | zenon_intro zenon_H1d3 ]. % 11.44/11.64 apply (zenon_L56_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_Hed | zenon_intro zenon_Ha9 ]. % 11.44/11.64 apply (zenon_L173_); trivial. % 11.44/11.64 apply (zenon_L174_); trivial. % 11.44/11.64 (* end of lemma zenon_L642_ *) % 11.44/11.64 assert (zenon_L643_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.44/11.64 do 0 intro. intros zenon_Ha5 zenon_H125 zenon_H5c zenon_H1ce zenon_Hcc zenon_H6f zenon_H169 zenon_H16a zenon_H1d1 zenon_H127 zenon_Ha8 zenon_H119 zenon_Hbe. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.44/11.64 apply (zenon_L150_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.44/11.64 apply (zenon_L642_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.44/11.64 apply (zenon_L170_); trivial. % 11.44/11.64 apply (zenon_L296_); trivial. % 11.44/11.64 (* end of lemma zenon_L643_ *) % 11.44/11.64 assert (zenon_L644_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.44/11.64 do 0 intro. intros zenon_H156 zenon_He4 zenon_H127 zenon_Hfe zenon_H22e zenon_Hec zenon_H10d zenon_H1de zenon_H1a4 zenon_H24e zenon_H8a zenon_H5f zenon_Hbe zenon_H68. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.64 apply (zenon_L74_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.44/11.64 apply (zenon_L316_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.44/11.64 apply (zenon_L79_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.44/11.64 apply (zenon_L300_); trivial. % 11.44/11.64 apply (zenon_L87_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.64 apply (zenon_L208_); trivial. % 11.44/11.64 apply (zenon_L430_); trivial. % 11.44/11.64 (* end of lemma zenon_L644_ *) % 11.44/11.64 assert (zenon_L645_ : (((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) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False). % 11.44/11.64 do 0 intro. intros zenon_H18f zenon_H13b zenon_Hb2 zenon_H119 zenon_Ha8 zenon_H1d1 zenon_H16a zenon_H169 zenon_H6f zenon_Hcc zenon_H1ce zenon_H125 zenon_Ha5 zenon_H68 zenon_Hbe zenon_H5f zenon_H8a zenon_H24e zenon_H1a4 zenon_H1de zenon_H10d zenon_H22e zenon_Hfe zenon_H127 zenon_He4 zenon_H156 zenon_H12b zenon_H186. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H5b | zenon_intro zenon_H190 ]. % 11.44/11.64 apply (zenon_L329_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H5c | zenon_intro zenon_H191 ]. % 11.44/11.64 apply (zenon_L643_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hec | zenon_intro zenon_H93 ]. % 11.44/11.64 apply (zenon_L644_); trivial. % 11.44/11.64 apply (zenon_L369_); trivial. % 11.44/11.64 (* end of lemma zenon_L645_ *) % 11.44/11.64 assert (zenon_L646_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H11f zenon_H68 zenon_H70 zenon_H6d zenon_H127 zenon_Hfe zenon_Ha1 zenon_H1a4. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.44/11.64 apply (zenon_L163_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.44/11.64 apply (zenon_L25_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.44/11.64 apply (zenon_L87_); trivial. % 11.44/11.64 apply (zenon_L261_); trivial. % 11.44/11.64 (* end of lemma zenon_L646_ *) % 11.44/11.64 assert (zenon_L647_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.44/11.64 do 0 intro. intros zenon_H1c8 zenon_H1f zenon_Ha8 zenon_H3e zenon_H104 zenon_H127 zenon_H38 zenon_H82. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.64 apply (zenon_L351_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.64 apply (zenon_L243_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.64 apply (zenon_L168_); trivial. % 11.44/11.64 apply (zenon_L338_); trivial. % 11.44/11.64 (* end of lemma zenon_L647_ *) % 11.44/11.64 assert (zenon_L648_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H20f zenon_H39 zenon_H10d zenon_H8a zenon_H5b zenon_Hb2 zenon_H11f zenon_H70 zenon_H131 zenon_H12b zenon_Hfe zenon_Hbe zenon_H68 zenon_H38 zenon_H5f zenon_H243 zenon_H1b0 zenon_H127. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.44/11.64 apply (zenon_L9_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.44/11.64 apply (zenon_L213_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.44/11.64 apply (zenon_L329_); trivial. % 11.44/11.64 apply (zenon_L432_); trivial. % 11.44/11.64 (* end of lemma zenon_L648_ *) % 11.44/11.64 assert (zenon_L649_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e0)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H24e zenon_H1a4 zenon_H1de zenon_H10d zenon_H65 zenon_Hec zenon_H22e zenon_H5f zenon_H1ac. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.44/11.64 apply (zenon_L316_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.44/11.64 apply (zenon_L79_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.44/11.64 apply (zenon_L300_); trivial. % 11.44/11.64 apply (zenon_L303_); trivial. % 11.44/11.64 (* end of lemma zenon_L649_ *) % 11.44/11.64 assert (zenon_L650_ : (((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 (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> False). % 11.44/11.64 do 0 intro. intros zenon_H252 zenon_H3f zenon_H54 zenon_H2b zenon_H58 zenon_H13f zenon_H24e zenon_H1a4 zenon_H1de zenon_H10d zenon_H65 zenon_Hec zenon_H22e zenon_H5f. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.44/11.64 apply (zenon_L235_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.44/11.64 apply (zenon_L302_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.44/11.64 exact (zenon_H13f zenon_H13e). % 11.44/11.64 apply (zenon_L649_); trivial. % 11.44/11.64 (* end of lemma zenon_L650_ *) % 11.44/11.64 assert (zenon_L651_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e0)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H24e zenon_H54 zenon_H68 zenon_H11a zenon_H109 zenon_Hec zenon_H22e zenon_H5f zenon_H1ac. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.44/11.64 apply (zenon_L71_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.44/11.64 apply (zenon_L286_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.44/11.64 apply (zenon_L300_); trivial. % 11.44/11.64 apply (zenon_L303_); trivial. % 11.44/11.64 (* end of lemma zenon_L651_ *) % 11.44/11.64 assert (zenon_L652_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> False). % 11.44/11.64 do 0 intro. intros zenon_H252 zenon_H3f zenon_H2b zenon_H58 zenon_H13f zenon_H24e zenon_H54 zenon_H68 zenon_H11a zenon_H109 zenon_Hec zenon_H22e zenon_H5f. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.44/11.64 apply (zenon_L235_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.44/11.64 apply (zenon_L302_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.44/11.64 exact (zenon_H13f zenon_H13e). % 11.44/11.64 apply (zenon_L651_); trivial. % 11.44/11.64 (* end of lemma zenon_L652_ *) % 11.44/11.64 assert (zenon_L653_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H252 zenon_H3f zenon_H54 zenon_H82 zenon_H2a8 zenon_H13f zenon_H53 zenon_H10c zenon_H180 zenon_H104 zenon_H183 zenon_Hec zenon_H22e zenon_H111 zenon_Hc0. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.44/11.64 apply (zenon_L235_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.44/11.64 apply (zenon_L50_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.44/11.64 exact (zenon_H13f zenon_H13e). % 11.44/11.64 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H13e | zenon_intro zenon_H2a9 ]. % 11.44/11.64 exact (zenon_H13f zenon_H13e). % 11.44/11.64 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H179 | zenon_intro zenon_H2aa ]. % 11.44/11.64 apply (zenon_L442_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H112 ]. % 11.44/11.64 apply (zenon_L300_); trivial. % 11.44/11.64 apply (zenon_L80_); trivial. % 11.44/11.64 (* end of lemma zenon_L653_ *) % 11.44/11.64 assert (zenon_L654_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H24a zenon_Hd3 zenon_H27c zenon_Ha8 zenon_Hc2 zenon_H6a zenon_H192 zenon_H169 zenon_H70. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.44/11.64 apply (zenon_L451_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.44/11.64 apply (zenon_L51_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.44/11.64 apply (zenon_L394_); trivial. % 11.44/11.64 apply (zenon_L172_); trivial. % 11.44/11.64 (* end of lemma zenon_L654_ *) % 11.44/11.64 assert (zenon_L655_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.44/11.64 do 0 intro. intros zenon_H1a6 zenon_H27a zenon_Hec zenon_H5f zenon_H33 zenon_H295 zenon_Ha2 zenon_H68. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.64 apply (zenon_L429_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.64 apply (zenon_L18_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.64 apply (zenon_L461_); trivial. % 11.44/11.64 apply (zenon_L152_); trivial. % 11.44/11.64 (* end of lemma zenon_L655_ *) % 11.44/11.64 assert (zenon_L656_ : (((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)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H146 zenon_H125 zenon_Hb5 zenon_H88 zenon_H1f8 zenon_H13f zenon_H1a3 zenon_H38. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.44/11.64 apply (zenon_L141_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.44/11.64 apply (zenon_L197_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.44/11.64 exact (zenon_H13f zenon_H13e). % 11.44/11.64 apply (zenon_L354_); trivial. % 11.44/11.64 (* end of lemma zenon_L656_ *) % 11.44/11.64 assert (zenon_L657_ : (((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) (e2)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H156 zenon_He4 zenon_Hec zenon_H55 zenon_H46 zenon_H14f zenon_H96 zenon_H81. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.64 apply (zenon_L74_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.64 apply (zenon_L20_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.64 apply (zenon_L101_); trivial. % 11.44/11.64 apply (zenon_L206_); trivial. % 11.44/11.64 (* end of lemma zenon_L657_ *) % 11.44/11.64 assert (zenon_L658_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (op (e1) (e0))) = (e0))) -> (~((op (e1) (e0)) = (op (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 (e1) (e2)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e0) (e0)) = (e1)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H206 zenon_H2a zenon_H58 zenon_H156 zenon_He4 zenon_Hec zenon_H55 zenon_H46 zenon_H14f zenon_H96. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H2b | zenon_intro zenon_H207 ]. % 11.44/11.64 apply (zenon_L6_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H59 | zenon_intro zenon_H208 ]. % 11.44/11.64 apply (zenon_L16_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H81 ]. % 11.44/11.64 apply (zenon_L74_); trivial. % 11.44/11.64 apply (zenon_L657_); trivial. % 11.44/11.64 (* end of lemma zenon_L658_ *) % 11.44/11.64 assert (zenon_L659_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.44/11.64 do 0 intro. intros zenon_Hab zenon_H1f3 zenon_H54 zenon_H55 zenon_H58 zenon_Hb2 zenon_H6a zenon_Hb5 zenon_H3f. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.44/11.64 apply (zenon_L254_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.44/11.64 apply (zenon_L16_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.44/11.64 apply (zenon_L41_); trivial. % 11.44/11.64 apply (zenon_L42_); trivial. % 11.44/11.64 (* end of lemma zenon_L659_ *) % 11.44/11.64 assert (zenon_L660_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e1) (op (e1) (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))))) -> (~((op (e1) (op (e1) (e0))) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (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 (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.44/11.64 do 0 intro. intros zenon_H26d zenon_H14f zenon_H46 zenon_Hec zenon_He4 zenon_H156 zenon_H2a zenon_H206 zenon_H27c zenon_H1f3 zenon_Hab zenon_Ha1 zenon_H9d zenon_H99 zenon_H95 zenon_Ha5 zenon_H55 zenon_H58 zenon_Hb2 zenon_H6a zenon_Hb5 zenon_H3f. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.44/11.64 apply (zenon_L658_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.44/11.64 apply (zenon_L437_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.44/11.64 apply (zenon_L659_); trivial. % 11.44/11.64 apply (zenon_L43_); trivial. % 11.44/11.64 (* end of lemma zenon_L660_ *) % 11.44/11.64 assert (zenon_L661_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False). % 11.44/11.64 do 0 intro. intros zenon_H262 zenon_Ha8 zenon_Hd5 zenon_H87 zenon_H5e zenon_H9a zenon_H20a zenon_H1fc zenon_H1f8 zenon_H99 zenon_Hae zenon_Hd3 zenon_H20c zenon_Hfe zenon_H206 zenon_Hb5 zenon_H96 zenon_H23f zenon_He4 zenon_Hec zenon_He8. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.44/11.64 apply (zenon_L195_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.44/11.64 apply (zenon_L215_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.44/11.64 apply (zenon_L93_); trivial. % 11.44/11.64 apply (zenon_L504_); trivial. % 11.44/11.64 (* end of lemma zenon_L661_ *) % 11.44/11.64 assert (zenon_L662_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False). % 11.44/11.64 do 0 intro. intros zenon_H24e zenon_H1f3 zenon_Hd8 zenon_H14f zenon_H22e zenon_H243 zenon_H5f zenon_H38 zenon_H81 zenon_H96 zenon_Hec zenon_H186 zenon_H131. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.44/11.64 apply (zenon_L278_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.44/11.64 apply (zenon_L101_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.44/11.64 apply (zenon_L300_); trivial. % 11.44/11.64 apply (zenon_L414_); trivial. % 11.44/11.64 (* end of lemma zenon_L662_ *) % 11.44/11.64 assert (zenon_L663_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.44/11.64 do 0 intro. intros zenon_Hc4 zenon_H59 zenon_Hd3 zenon_H87 zenon_H82 zenon_H8a zenon_Hbe zenon_Ha8. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.44/11.64 apply (zenon_L47_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.44/11.64 apply (zenon_L117_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.44/11.64 apply (zenon_L50_); trivial. % 11.44/11.64 apply (zenon_L51_); trivial. % 11.44/11.64 (* end of lemma zenon_L663_ *) % 11.44/11.64 assert (zenon_L664_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (op (e0) (e3))) = (e3))) -> False). % 11.44/11.64 do 0 intro. intros zenon_H1c8 zenon_H21 zenon_H38 zenon_H117 zenon_Hc4 zenon_H59 zenon_H87 zenon_H82 zenon_Hbe zenon_H46 zenon_H3f zenon_Hc7 zenon_Ha8 zenon_H54 zenon_H288. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.64 apply (zenon_L453_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.64 apply (zenon_L44_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.64 apply (zenon_L46_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.64 apply (zenon_L663_); trivial. % 11.44/11.64 apply (zenon_L337_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.64 apply (zenon_L392_); trivial. % 11.44/11.64 apply (zenon_L448_); trivial. % 11.44/11.64 (* end of lemma zenon_L664_ *) % 11.44/11.64 assert (zenon_L665_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> False). % 11.44/11.64 do 0 intro. intros zenon_H252 zenon_H21 zenon_H2b zenon_H58 zenon_H13f zenon_H24e zenon_H1f3 zenon_Hd8 zenon_H10d zenon_H65 zenon_Hec zenon_H22e zenon_H5f. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.44/11.64 apply (zenon_L439_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.44/11.64 apply (zenon_L302_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.44/11.64 exact (zenon_H13f zenon_H13e). % 11.44/11.64 apply (zenon_L399_); trivial. % 11.44/11.64 (* end of lemma zenon_L665_ *) % 11.44/11.64 assert (zenon_L666_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.44/11.64 do 0 intro. intros zenon_H7e zenon_H5f zenon_H33 zenon_H10d zenon_H10c zenon_Hec zenon_Hb2 zenon_Hfe zenon_He2. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.44/11.64 apply (zenon_L18_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.44/11.64 apply (zenon_L79_); trivial. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.44/11.64 apply (zenon_L236_); trivial. % 11.44/11.64 apply (zenon_L367_); trivial. % 11.44/11.64 (* end of lemma zenon_L666_ *) % 11.44/11.64 assert (zenon_L667_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((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 (e3) (op (e3) (e2))) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.44/11.64 do 0 intro. intros zenon_H1a6 zenon_H21 zenon_H12c zenon_Hc2 zenon_H246 zenon_H1a3 zenon_H247 zenon_H1bf zenon_H172 zenon_H70 zenon_H11f zenon_H104 zenon_H82 zenon_He2 zenon_H3f zenon_H1da zenon_H35 zenon_H5f zenon_Ha2 zenon_H68. % 11.44/11.64 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.65 apply (zenon_L439_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.65 apply (zenon_L325_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.65 apply (zenon_L229_); trivial. % 11.44/11.65 apply (zenon_L152_); trivial. % 11.44/11.65 (* end of lemma zenon_L667_ *) % 11.44/11.65 assert (zenon_L668_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (((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 (e1) (e0)) = (e0)) -> ((op (e2) (e0)) = (e2)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((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 (e3) (op (e3) (e2))) = (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) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> False). % 11.44/11.65 do 0 intro. intros zenon_H26d zenon_Hcc zenon_Hfe zenon_H262 zenon_H27c zenon_Hab zenon_Ha8 zenon_H1c8 zenon_H2b zenon_Hec zenon_H1a6 zenon_H21 zenon_H12c zenon_Hc2 zenon_H246 zenon_H1a3 zenon_H247 zenon_H1bf zenon_H172 zenon_H11f zenon_H104 zenon_H82 zenon_He2 zenon_H3f zenon_H1da zenon_H35 zenon_H5f zenon_H68. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.44/11.65 apply (zenon_L376_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.44/11.65 apply (zenon_L437_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.44/11.65 apply (zenon_L235_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.44/11.65 apply (zenon_L320_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.44/11.65 apply (zenon_L44_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.44/11.65 apply (zenon_L68_); trivial. % 11.44/11.65 apply (zenon_L667_); trivial. % 11.44/11.65 (* end of lemma zenon_L668_ *) % 11.44/11.65 assert (zenon_L669_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> False). % 11.44/11.65 do 0 intro. intros zenon_H252 zenon_H68 zenon_Ha2 zenon_H1da zenon_H3f zenon_He2 zenon_H82 zenon_H104 zenon_H11f zenon_H70 zenon_H172 zenon_H1bf zenon_H247 zenon_H1a3 zenon_H246 zenon_Hc2 zenon_H12c zenon_H21 zenon_H1a6 zenon_H2b zenon_H58 zenon_H13f zenon_H24e zenon_H1f3 zenon_Hd8 zenon_H10d zenon_H65 zenon_Hec zenon_H22e zenon_H5f. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.44/11.65 apply (zenon_L667_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.44/11.65 apply (zenon_L302_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.44/11.65 exact (zenon_H13f zenon_H13e). % 11.44/11.65 apply (zenon_L399_); trivial. % 11.44/11.65 (* end of lemma zenon_L669_ *) % 11.44/11.65 assert (zenon_L670_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> False). % 11.44/11.65 do 0 intro. intros zenon_Hab zenon_H1f3 zenon_H54 zenon_H3f zenon_H68 zenon_H262 zenon_H38 zenon_H21 zenon_H82 zenon_H2b zenon_Hfe zenon_Hec zenon_Ha8. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.44/11.65 apply (zenon_L254_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.44/11.65 apply (zenon_L44_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.44/11.65 apply (zenon_L68_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.44/11.65 apply (zenon_L453_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.44/11.65 apply (zenon_L27_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.44/11.65 apply (zenon_L93_); trivial. % 11.44/11.65 apply (zenon_L38_); trivial. % 11.44/11.65 (* end of lemma zenon_L670_ *) % 11.44/11.65 assert (zenon_L671_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> False). % 11.44/11.65 do 0 intro. intros zenon_H156 zenon_H9a zenon_H1d4 zenon_H22c zenon_H120 zenon_H109 zenon_Hce zenon_H8c zenon_H1f3 zenon_H1e1 zenon_H1f8 zenon_H69 zenon_H14f zenon_H96 zenon_H81. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.44/11.65 apply (zenon_L254_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.44/11.65 apply (zenon_L339_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.44/11.65 exact (zenon_H22c zenon_H179). % 11.44/11.65 apply (zenon_L259_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.65 apply (zenon_L312_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.65 apply (zenon_L101_); trivial. % 11.44/11.65 apply (zenon_L206_); trivial. % 11.44/11.65 (* end of lemma zenon_L671_ *) % 11.44/11.65 assert (zenon_L672_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> False). % 11.44/11.65 do 0 intro. intros zenon_H19a zenon_H27c zenon_H46 zenon_H68 zenon_H156 zenon_H1d4 zenon_H22c zenon_H120 zenon_H109 zenon_Hce zenon_H8c zenon_H1f3 zenon_H1e1 zenon_H1f8 zenon_H69 zenon_H14f zenon_H96 zenon_H81. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.44/11.65 apply (zenon_L437_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.44/11.65 apply (zenon_L12_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.44/11.65 apply (zenon_L22_); trivial. % 11.44/11.65 apply (zenon_L671_); trivial. % 11.44/11.65 (* end of lemma zenon_L672_ *) % 11.44/11.65 assert (zenon_L673_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.65 do 0 intro. intros zenon_H1a0 zenon_H35 zenon_H21 zenon_H5f zenon_H2b zenon_H69 zenon_Hb2 zenon_Hfe zenon_Ha9. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.65 apply (zenon_L439_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.65 apply (zenon_L196_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.65 apply (zenon_L236_); trivial. % 11.44/11.65 apply (zenon_L241_); trivial. % 11.44/11.65 (* end of lemma zenon_L673_ *) % 11.44/11.65 assert (zenon_L674_ : (((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) (e3)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False). % 11.44/11.65 do 0 intro. intros zenon_Hc4 zenon_He8 zenon_Ha9 zenon_Hbe zenon_H46 zenon_H82 zenon_H8a zenon_H8c. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.44/11.65 apply (zenon_L227_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.44/11.65 apply (zenon_L49_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.44/11.65 apply (zenon_L50_); trivial. % 11.44/11.65 apply (zenon_L84_); trivial. % 11.44/11.65 (* end of lemma zenon_L674_ *) % 11.44/11.65 assert (zenon_L675_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e2)) -> (~((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) (op (e1) (e1))) = (e1))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False). % 11.44/11.65 do 0 intro. intros zenon_He5 zenon_H68 zenon_Hf8 zenon_H3f zenon_Hc4 zenon_He8 zenon_Ha9 zenon_H46 zenon_H82 zenon_H8a zenon_H8c. % 11.44/11.65 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.44/11.65 apply (zenon_L113_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.44/11.65 apply (zenon_L12_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.44/11.65 apply (zenon_L29_); trivial. % 11.44/11.65 apply (zenon_L674_); trivial. % 11.44/11.65 (* end of lemma zenon_L675_ *) % 11.44/11.65 assert (zenon_L676_ : (((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) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.44/11.65 do 0 intro. intros zenon_Hc4 zenon_He8 zenon_Ha9 zenon_Hd3 zenon_H87 zenon_Hf8 zenon_H96 zenon_H8d zenon_H82. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.44/11.65 apply (zenon_L227_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.44/11.65 apply (zenon_L117_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.44/11.65 apply (zenon_L225_); trivial. % 11.44/11.65 apply (zenon_L256_); trivial. % 11.44/11.65 (* end of lemma zenon_L676_ *) % 11.44/11.65 assert (zenon_L677_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (op (e1) (e0))) = (e0))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (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)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((e0) = (e2))) -> False). % 11.44/11.65 do 0 intro. intros zenon_Hc7 zenon_H2a zenon_H46 zenon_H35 zenon_H53 zenon_H156 zenon_H68 zenon_H59 zenon_H1f8 zenon_H69 zenon_H14f zenon_H5f. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.65 apply (zenon_L6_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.65 apply (zenon_L46_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.65 apply (zenon_L193_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.65 apply (zenon_L113_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.65 apply (zenon_L312_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.65 apply (zenon_L101_); trivial. % 11.44/11.65 apply (zenon_L102_); trivial. % 11.44/11.65 (* end of lemma zenon_L677_ *) % 11.44/11.65 assert (zenon_L678_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.44/11.65 do 0 intro. intros zenon_H19a zenon_Ha2 zenon_H39 zenon_H46 zenon_H69 zenon_H68 zenon_Hcc zenon_H70. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.44/11.65 apply (zenon_L72_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.44/11.65 apply (zenon_L12_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.44/11.65 apply (zenon_L22_); trivial. % 11.44/11.65 apply (zenon_L56_); trivial. % 11.44/11.65 (* end of lemma zenon_L678_ *) % 11.44/11.65 assert (zenon_L679_ : (((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 (e0) (e0)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> False). % 11.44/11.65 do 0 intro. intros zenon_H17d zenon_Ha8 zenon_H69 zenon_H68 zenon_H22c zenon_Hd8 zenon_H93. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.44/11.65 apply (zenon_L119_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.44/11.65 apply (zenon_L22_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.44/11.65 exact (zenon_H22c zenon_H179). % 11.44/11.65 apply (zenon_L131_); trivial. % 11.44/11.65 (* end of lemma zenon_L679_ *) % 11.44/11.65 assert (zenon_L680_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.44/11.65 do 0 intro. intros zenon_H1a0 zenon_H1f3 zenon_Hf0 zenon_H68 zenon_H59 zenon_H69 zenon_Hb2 zenon_Hb5 zenon_H5f. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.65 apply (zenon_L278_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.65 apply (zenon_L113_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.65 apply (zenon_L236_); trivial. % 11.44/11.65 apply (zenon_L69_); trivial. % 11.44/11.65 (* end of lemma zenon_L680_ *) % 11.44/11.65 assert (zenon_L681_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False). % 11.44/11.65 do 0 intro. intros zenon_H24e zenon_H54 zenon_H68 zenon_H14f zenon_H1e0 zenon_H243 zenon_H5f zenon_H38 zenon_Hf8 zenon_Hce zenon_H69 zenon_H192 zenon_H131. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.44/11.65 apply (zenon_L71_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.44/11.65 apply (zenon_L101_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.44/11.65 apply (zenon_L317_); trivial. % 11.44/11.65 apply (zenon_L420_); trivial. % 11.44/11.65 (* end of lemma zenon_L681_ *) % 11.44/11.65 assert (zenon_L682_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.44/11.65 do 0 intro. intros zenon_H156 zenon_H131 zenon_H192 zenon_Hce zenon_H38 zenon_H5f zenon_H243 zenon_H1e0 zenon_H54 zenon_H24e zenon_H1f8 zenon_H69 zenon_H14f zenon_Hbe zenon_H68. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.65 apply (zenon_L681_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.65 apply (zenon_L312_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.65 apply (zenon_L101_); trivial. % 11.44/11.65 apply (zenon_L430_); trivial. % 11.44/11.65 (* end of lemma zenon_L682_ *) % 11.44/11.65 assert (zenon_L683_ : (((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 (e2) (e1)))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.44/11.65 do 0 intro. intros zenon_H156 zenon_He8 zenon_H1f8 zenon_H8a zenon_H5f zenon_H24e zenon_Hfe zenon_Hfd zenon_H109 zenon_H69 zenon_H1e0 zenon_Hed zenon_H1ce. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.65 apply (zenon_L311_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.65 apply (zenon_L312_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.65 apply (zenon_L208_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.44/11.65 apply (zenon_L75_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.44/11.65 apply (zenon_L286_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.44/11.65 apply (zenon_L317_); trivial. % 11.44/11.65 apply (zenon_L271_); trivial. % 11.44/11.65 (* end of lemma zenon_L683_ *) % 11.44/11.65 assert (zenon_L684_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.44/11.65 do 0 intro. intros zenon_H156 zenon_He8 zenon_Hed zenon_H1f8 zenon_H69 zenon_H14f zenon_H8d zenon_H5f. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.65 apply (zenon_L311_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.65 apply (zenon_L312_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.65 apply (zenon_L101_); trivial. % 11.44/11.65 apply (zenon_L102_); trivial. % 11.44/11.65 (* end of lemma zenon_L684_ *) % 11.44/11.65 assert (zenon_L685_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((e0) = (e2))) -> False). % 11.44/11.65 do 0 intro. intros zenon_Hc7 zenon_H3f zenon_H59 zenon_H46 zenon_H1ce zenon_H1e0 zenon_H109 zenon_Hfd zenon_Hfe zenon_H24e zenon_H156 zenon_He8 zenon_Hed zenon_H1f8 zenon_H69 zenon_H14f zenon_H5f. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.65 apply (zenon_L44_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.65 apply (zenon_L46_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.65 apply (zenon_L683_); trivial. % 11.44/11.65 apply (zenon_L684_); trivial. % 11.44/11.65 (* end of lemma zenon_L685_ *) % 11.44/11.65 assert (zenon_L686_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.65 do 0 intro. intros zenon_H1a0 zenon_H1f3 zenon_Hf0 zenon_H68 zenon_H59 zenon_H69 zenon_Hb2 zenon_Hfe zenon_Ha9. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.65 apply (zenon_L278_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.65 apply (zenon_L113_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.65 apply (zenon_L236_); trivial. % 11.44/11.65 apply (zenon_L241_); trivial. % 11.44/11.65 (* end of lemma zenon_L686_ *) % 11.44/11.65 assert (zenon_L687_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.44/11.65 do 0 intro. intros zenon_H1a6 zenon_H5f zenon_H1f zenon_H3e zenon_Ha9 zenon_Hb2 zenon_H69 zenon_H59 zenon_H68 zenon_H1f3 zenon_H1a0 zenon_H129 zenon_Hfe. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.65 apply (zenon_L533_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.65 apply (zenon_L242_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.65 apply (zenon_L686_); trivial. % 11.44/11.65 apply (zenon_L233_); trivial. % 11.44/11.65 (* end of lemma zenon_L687_ *) % 11.44/11.65 assert (zenon_L688_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.44/11.65 do 0 intro. intros zenon_H1c8 zenon_H117 zenon_H1e1 zenon_H68 zenon_H3f zenon_H22c zenon_Hed zenon_H46 zenon_H59 zenon_Hc7 zenon_Ha8 zenon_H3e zenon_Hfe zenon_Hf0 zenon_H38 zenon_H82. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.65 apply (zenon_L44_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.65 apply (zenon_L46_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.44/11.65 apply (zenon_L71_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.44/11.65 apply (zenon_L29_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.44/11.65 exact (zenon_H22c zenon_H179). % 11.44/11.65 apply (zenon_L248_); trivial. % 11.44/11.65 apply (zenon_L337_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.65 apply (zenon_L243_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.65 apply (zenon_L75_); trivial. % 11.44/11.65 apply (zenon_L338_); trivial. % 11.44/11.65 (* end of lemma zenon_L688_ *) % 11.44/11.65 assert (zenon_L689_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (op (e1) (e0))) = (e0))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False). % 11.44/11.65 do 0 intro. intros zenon_H206 zenon_H2a zenon_H5c zenon_He4 zenon_H11a zenon_Hce zenon_Ha9 zenon_He8. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H2b | zenon_intro zenon_H207 ]. % 11.44/11.65 apply (zenon_L6_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H59 | zenon_intro zenon_H208 ]. % 11.44/11.65 apply (zenon_L65_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H81 ]. % 11.44/11.65 apply (zenon_L203_); trivial. % 11.44/11.65 apply (zenon_L227_); trivial. % 11.44/11.65 (* end of lemma zenon_L689_ *) % 11.44/11.65 assert (zenon_L690_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (op (e1) (e0))) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.65 do 0 intro. intros zenon_H17d zenon_He8 zenon_Hce zenon_H11a zenon_He4 zenon_H2a zenon_H206 zenon_H69 zenon_H68 zenon_H22c zenon_H232 zenon_H1de zenon_Hfd zenon_H8c zenon_Ha8 zenon_H169 zenon_Ha9. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.44/11.65 apply (zenon_L689_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.44/11.65 apply (zenon_L22_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.44/11.65 exact (zenon_H22c zenon_H179). % 11.44/11.65 apply (zenon_L333_); trivial. % 11.44/11.65 (* end of lemma zenon_L690_ *) % 11.44/11.65 assert (zenon_L691_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e2)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (op (e1) (e0))) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.44/11.65 do 0 intro. intros zenon_H1d1 zenon_H1aa zenon_Hcc zenon_H1ce zenon_H6d zenon_H9e zenon_H17d zenon_He8 zenon_Hce zenon_H11a zenon_He4 zenon_H2a zenon_H206 zenon_H69 zenon_H68 zenon_H22c zenon_H232 zenon_H1de zenon_Hfd zenon_H8c zenon_Ha8 zenon_H169. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1d2 ]. % 11.44/11.65 apply (zenon_L219_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H70 | zenon_intro zenon_H1d3 ]. % 11.44/11.65 apply (zenon_L384_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_Hed | zenon_intro zenon_Ha9 ]. % 11.44/11.65 apply (zenon_L248_); trivial. % 11.44/11.65 apply (zenon_L690_); trivial. % 11.44/11.65 (* end of lemma zenon_L691_ *) % 11.44/11.65 assert (zenon_L692_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e2)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (op (e1) (e0))) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.44/11.65 do 0 intro. intros zenon_H183 zenon_H38 zenon_H104 zenon_H103 zenon_H1d1 zenon_H1aa zenon_Hcc zenon_H1ce zenon_H6d zenon_H9e zenon_H17d zenon_He8 zenon_Hce zenon_H11a zenon_He4 zenon_H2a zenon_H206 zenon_H69 zenon_H68 zenon_H22c zenon_H232 zenon_H1de zenon_H8c zenon_Ha8 zenon_H169. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H35 | zenon_intro zenon_H184 ]. % 11.44/11.65 apply (zenon_L191_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H54 | zenon_intro zenon_H185 ]. % 11.44/11.65 apply (zenon_L457_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfd ]. % 11.44/11.65 apply (zenon_L77_); trivial. % 11.44/11.65 apply (zenon_L691_); trivial. % 11.44/11.65 (* end of lemma zenon_L692_ *) % 11.44/11.65 assert (zenon_L693_ : (((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)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (((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) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e2)) -> False). % 11.44/11.65 do 0 intro. intros zenon_H17d zenon_H59 zenon_He4 zenon_Hae zenon_H3e zenon_H22c zenon_H18f zenon_H13b zenon_H186 zenon_H69 zenon_Hb2 zenon_Hd8. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.44/11.65 apply (zenon_L65_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.44/11.65 apply (zenon_L40_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.44/11.65 exact (zenon_H22c zenon_H179). % 11.44/11.65 apply (zenon_L359_); trivial. % 11.44/11.65 (* end of lemma zenon_L693_ *) % 11.44/11.65 assert (zenon_L694_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.44/11.65 do 0 intro. intros zenon_Hc7 zenon_H46 zenon_H68 zenon_H5f zenon_H69 zenon_H1f8 zenon_H59 zenon_H156 zenon_H3f zenon_Hbe. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.65 apply (zenon_L44_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.65 apply (zenon_L46_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.65 apply (zenon_L113_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.65 apply (zenon_L312_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.65 apply (zenon_L208_); trivial. % 11.44/11.65 apply (zenon_L430_); trivial. % 11.44/11.65 apply (zenon_L53_); trivial. % 11.44/11.65 (* end of lemma zenon_L694_ *) % 11.44/11.65 assert (zenon_L695_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e3)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> False). % 11.44/11.65 do 0 intro. intros zenon_H20c zenon_Hd3 zenon_H1a4 zenon_H20a zenon_H9a zenon_H1f8 zenon_H69 zenon_Hd5 zenon_H81. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H88 | zenon_intro zenon_H20d ]. % 11.44/11.65 apply (zenon_L232_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H44 | zenon_intro zenon_H20e ]. % 11.44/11.65 apply (zenon_L214_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H65 | zenon_intro zenon_Hbc ]. % 11.44/11.65 apply (zenon_L312_); trivial. % 11.44/11.65 apply (zenon_L59_); trivial. % 11.44/11.65 (* end of lemma zenon_L695_ *) % 11.44/11.65 assert (zenon_L696_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e3)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (~((e1) = (e3))) -> False). % 11.44/11.65 do 0 intro. intros zenon_Hc4 zenon_Hd5 zenon_H69 zenon_H1f8 zenon_H9a zenon_H20a zenon_H1a4 zenon_H20c zenon_Hd3 zenon_H87 zenon_H82 zenon_He5 zenon_H5c zenon_He4 zenon_H46 zenon_H3f zenon_H8a zenon_Ha8. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.44/11.65 apply (zenon_L695_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.44/11.65 apply (zenon_L117_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.44/11.65 apply (zenon_L50_); trivial. % 11.44/11.65 apply (zenon_L66_); trivial. % 11.44/11.65 (* end of lemma zenon_L696_ *) % 11.44/11.65 assert (zenon_L697_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e3))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.44/11.65 do 0 intro. intros zenon_Hc7 zenon_H5f zenon_Hf8 zenon_Ha8 zenon_H46 zenon_He4 zenon_H5c zenon_He5 zenon_H82 zenon_H87 zenon_Hd3 zenon_H20c zenon_H1a4 zenon_H20a zenon_H9a zenon_H1f8 zenon_H69 zenon_Hd5 zenon_Hc4 zenon_H3f zenon_Hbe. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.65 apply (zenon_L196_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.65 apply (zenon_L232_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.65 apply (zenon_L696_); trivial. % 11.44/11.65 apply (zenon_L53_); trivial. % 11.44/11.65 (* end of lemma zenon_L697_ *) % 11.44/11.65 assert (zenon_L698_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (((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 (e2) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e3)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3)))))))) -> (~((e1) = (e3))) -> False). % 11.44/11.65 do 0 intro. intros zenon_H19b zenon_H3f zenon_Hc4 zenon_Hd5 zenon_H1f8 zenon_H9a zenon_H20a zenon_H1a4 zenon_H20c zenon_H87 zenon_H82 zenon_He5 zenon_H5c zenon_He4 zenon_Hf8 zenon_H5f zenon_Hc7 zenon_Hbe zenon_H46 zenon_Hfe zenon_H69 zenon_Hca zenon_Ha8. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.44/11.65 apply (zenon_L697_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.44/11.65 apply (zenon_L49_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.44/11.65 apply (zenon_L211_); trivial. % 11.44/11.65 apply (zenon_L64_); trivial. % 11.44/11.65 (* end of lemma zenon_L698_ *) % 11.44/11.65 assert (zenon_L699_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3)))))))) -> (~((e2) = (e3))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.44/11.65 do 0 intro. intros zenon_H156 zenon_Ha8 zenon_Hca zenon_Hfe zenon_H46 zenon_Hc7 zenon_H5f zenon_He4 zenon_H5c zenon_He5 zenon_H82 zenon_H87 zenon_H20c zenon_H1a4 zenon_H20a zenon_H9a zenon_Hd5 zenon_Hc4 zenon_H3f zenon_H19b zenon_H1f8 zenon_H69 zenon_H14f zenon_Hbe zenon_H68. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.65 apply (zenon_L698_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.65 apply (zenon_L312_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.65 apply (zenon_L101_); trivial. % 11.44/11.65 apply (zenon_L430_); trivial. % 11.44/11.65 (* end of lemma zenon_L699_ *) % 11.44/11.65 assert (zenon_L700_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e2) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (op (e1) (e0))) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((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) (e3)) = (e1)) -> False). % 11.44/11.65 do 0 intro. intros zenon_H262 zenon_H1e1 zenon_H1f3 zenon_H109 zenon_H120 zenon_H22c zenon_H1d4 zenon_H9a zenon_H5b zenon_Hc7 zenon_H96 zenon_Hce zenon_H2a zenon_H206 zenon_H14f zenon_H69 zenon_H1f8 zenon_Ha8 zenon_H156 zenon_H8c zenon_H82 zenon_H46 zenon_He8 zenon_Hc4 zenon_H3f zenon_Hbe. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.44/11.65 apply (zenon_L195_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.44/11.65 apply (zenon_L671_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.44/11.65 apply (zenon_L32_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.65 apply (zenon_L6_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.65 apply (zenon_L228_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.65 apply (zenon_L312_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.65 apply (zenon_L101_); trivial. % 11.44/11.65 apply (zenon_L207_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.65 apply (zenon_L674_); trivial. % 11.44/11.65 apply (zenon_L53_); trivial. % 11.44/11.65 (* end of lemma zenon_L700_ *) % 11.44/11.65 assert (zenon_L701_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.44/11.65 do 0 intro. intros zenon_H262 zenon_H96 zenon_H14f zenon_H1f8 zenon_H1e1 zenon_H1f3 zenon_H8c zenon_Hce zenon_H109 zenon_H120 zenon_H1d4 zenon_H9a zenon_H156 zenon_Hd8 zenon_H22c zenon_H68 zenon_H69 zenon_Ha8 zenon_H17d zenon_H82 zenon_Hb5. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.44/11.65 apply (zenon_L195_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.44/11.65 apply (zenon_L671_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.44/11.65 apply (zenon_L679_); trivial. % 11.44/11.65 apply (zenon_L154_); trivial. % 11.44/11.65 (* end of lemma zenon_L701_ *) % 11.44/11.65 assert (zenon_L702_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.44/11.65 do 0 intro. intros zenon_H1a0 zenon_H82 zenon_H17d zenon_Ha8 zenon_H68 zenon_H262 zenon_H8c zenon_H96 zenon_H46 zenon_Hbe zenon_H156 zenon_H9a zenon_H1d4 zenon_H22c zenon_H120 zenon_H109 zenon_Hce zenon_H1f3 zenon_H1e1 zenon_H1f8 zenon_H14f zenon_Hc4 zenon_H69 zenon_Hb2 zenon_Hb5 zenon_H5f. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.65 apply (zenon_L701_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.44/11.65 apply (zenon_L671_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.44/11.65 apply (zenon_L49_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.44/11.65 apply (zenon_L225_); trivial. % 11.44/11.65 apply (zenon_L84_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.65 apply (zenon_L236_); trivial. % 11.44/11.65 apply (zenon_L69_); trivial. % 11.44/11.65 (* end of lemma zenon_L702_ *) % 11.44/11.65 assert (zenon_L703_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e2) = (e3))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3)))))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> False). % 11.44/11.65 do 0 intro. intros zenon_H243 zenon_H68 zenon_Hbe zenon_H14f zenon_H69 zenon_H1f8 zenon_H19b zenon_H3f zenon_Hc4 zenon_Hd5 zenon_H9a zenon_H20a zenon_H20c zenon_H87 zenon_H82 zenon_He5 zenon_H5c zenon_He4 zenon_Hc7 zenon_H46 zenon_Hfe zenon_Hca zenon_Ha8 zenon_H156 zenon_Hf8 zenon_Hce zenon_H5f zenon_H144 zenon_H131 zenon_H103. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H244 ]. % 11.44/11.65 apply (zenon_L699_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H11a | zenon_intro zenon_H245 ]. % 11.44/11.65 apply (zenon_L203_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H167 | zenon_intro zenon_H11b ]. % 11.44/11.65 apply (zenon_L109_); trivial. % 11.44/11.65 apply (zenon_L413_); trivial. % 11.44/11.65 (* end of lemma zenon_L703_ *) % 11.44/11.65 assert (zenon_L704_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3)))))))) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> False). % 11.44/11.65 do 0 intro. intros zenon_H156 zenon_Ha8 zenon_Hca zenon_Hfe zenon_Hd5 zenon_H1e1 zenon_H131 zenon_H192 zenon_H38 zenon_H5f zenon_H243 zenon_H1e0 zenon_H68 zenon_H24e zenon_H8c zenon_H87 zenon_H120 zenon_H109 zenon_Hce zenon_Hc4 zenon_H22c zenon_H1d4 zenon_H9a zenon_H19b zenon_H1f8 zenon_H69 zenon_H14f zenon_H96 zenon_H81. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.44/11.65 apply (zenon_L681_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.44/11.65 apply (zenon_L342_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.44/11.65 exact (zenon_H22c zenon_H179). % 11.44/11.65 apply (zenon_L259_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.44/11.65 apply (zenon_L59_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.44/11.65 apply (zenon_L211_); trivial. % 11.44/11.65 apply (zenon_L64_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.65 apply (zenon_L312_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.65 apply (zenon_L101_); trivial. % 11.44/11.65 apply (zenon_L206_); trivial. % 11.44/11.65 (* end of lemma zenon_L704_ *) % 11.44/11.65 assert (zenon_L705_ : (((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 (e1) (e0)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False). % 11.44/11.65 do 0 intro. intros zenon_H120 zenon_H38 zenon_H117 zenon_H17b zenon_H12c zenon_H81 zenon_H96 zenon_H8c. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H8d | zenon_intro zenon_H123 ]. % 11.44/11.65 apply (zenon_L337_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbe | zenon_intro zenon_H124 ]. % 11.44/11.65 apply (zenon_L290_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11a | zenon_intro zenon_Hc2 ]. % 11.44/11.65 apply (zenon_L206_); trivial. % 11.44/11.65 apply (zenon_L84_); trivial. % 11.44/11.65 (* end of lemma zenon_L705_ *) % 11.44/11.65 assert (zenon_L706_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((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) (e0)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False). % 11.44/11.65 do 0 intro. intros zenon_H17d zenon_Ha8 zenon_H93 zenon_H9a zenon_H99 zenon_H22c zenon_H120 zenon_H38 zenon_H117 zenon_H12c zenon_H81 zenon_H96 zenon_H8c. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.44/11.65 apply (zenon_L119_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.44/11.65 apply (zenon_L34_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.44/11.65 exact (zenon_H22c zenon_H179). % 11.44/11.65 apply (zenon_L705_); trivial. % 11.44/11.65 (* end of lemma zenon_L706_ *) % 11.44/11.65 assert (zenon_L707_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (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) (e2)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> (~((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 (e1) (e1)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False). % 11.44/11.65 do 0 intro. intros zenon_Hc4 zenon_H12c zenon_H117 zenon_H38 zenon_H120 zenon_H22c zenon_H99 zenon_H9a zenon_H93 zenon_Ha8 zenon_H17d zenon_Hd3 zenon_H87 zenon_Hf8 zenon_H96 zenon_H8c. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.44/11.65 apply (zenon_L706_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.44/11.65 apply (zenon_L117_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.44/11.65 apply (zenon_L225_); trivial. % 11.44/11.65 apply (zenon_L84_); trivial. % 11.44/11.65 (* end of lemma zenon_L707_ *) % 11.44/11.65 assert (zenon_L708_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((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) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.44/11.65 do 0 intro. intros zenon_H156 zenon_H8c zenon_H96 zenon_H87 zenon_Hd3 zenon_H17d zenon_Ha8 zenon_H93 zenon_H9a zenon_H99 zenon_H22c zenon_H120 zenon_H38 zenon_H117 zenon_H12c zenon_Hc4 zenon_H1f8 zenon_H69 zenon_H14f zenon_Hbe zenon_H68. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.65 apply (zenon_L707_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.65 apply (zenon_L312_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.65 apply (zenon_L101_); trivial. % 11.44/11.65 apply (zenon_L430_); trivial. % 11.44/11.65 (* end of lemma zenon_L708_ *) % 11.44/11.65 assert (zenon_L709_ : (((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) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.44/11.65 do 0 intro. intros zenon_Hc4 zenon_He8 zenon_Ha9 zenon_Hd3 zenon_H87 zenon_Hf8 zenon_H96 zenon_Hbe zenon_Ha8. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.44/11.65 apply (zenon_L227_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.44/11.65 apply (zenon_L117_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.44/11.65 apply (zenon_L225_); trivial. % 11.44/11.65 apply (zenon_L51_); trivial. % 11.44/11.65 (* end of lemma zenon_L709_ *) % 11.44/11.65 assert (zenon_L710_ : (((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) (e3)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False). % 11.44/11.65 do 0 intro. intros zenon_Hc4 zenon_He8 zenon_Ha9 zenon_Hbe zenon_H46 zenon_Hfd zenon_H53 zenon_H8c. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.44/11.65 apply (zenon_L227_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.44/11.65 apply (zenon_L49_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.44/11.65 apply (zenon_L125_); trivial. % 11.44/11.65 apply (zenon_L84_); trivial. % 11.44/11.65 (* end of lemma zenon_L710_ *) % 11.44/11.65 assert (zenon_L711_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\((~((op (e1) (op (e1) (e0))) = (e0)))/\((~((op (e1) (op (e1) (e1))) = (e1)))/\((~((op (e1) (op (e1) (e2))) = (e2)))/\(~((op (e1) (op (e1) (e3))) = (e3)))))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((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 (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 (e1) (e3)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False). % 11.44/11.65 do 0 intro. intros zenon_H262 zenon_H14f zenon_H69 zenon_H1f8 zenon_H19b zenon_H1d4 zenon_Hce zenon_H109 zenon_H87 zenon_H24e zenon_H68 zenon_H1e0 zenon_H243 zenon_H5f zenon_H192 zenon_H131 zenon_H1e1 zenon_Hd5 zenon_Hfe zenon_Hca zenon_H156 zenon_Ha8 zenon_H17d zenon_H9a zenon_H99 zenon_H22c zenon_H120 zenon_H38 zenon_H117 zenon_H12c zenon_H96 zenon_Hc4 zenon_He8 zenon_Hbe zenon_H46 zenon_Hfd zenon_H53 zenon_H8c. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.44/11.65 apply (zenon_L195_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.44/11.65 apply (zenon_L704_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.44/11.65 apply (zenon_L706_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.44/11.65 apply (zenon_L49_); trivial. % 11.44/11.65 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.44/11.65 apply (zenon_L125_); trivial. % 11.44/11.65 apply (zenon_L51_); trivial. % 11.44/11.65 apply (zenon_L710_); trivial. % 11.44/11.65 (* end of lemma zenon_L711_ *) % 11.44/11.65 assert (zenon_L712_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\((~((op (e2) (op (e2) (e0))) = (e0)))/\((~((op (e2) (op (e2) (e1))) = (e1)))/\((~((op (e2) (op (e2) (e2))) = (e2)))/\(~((op (e2) (op (e2) (e3))) = (e3)))))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> False). % 11.44/11.65 do 0 intro. intros zenon_H239 zenon_H192 zenon_H69. % 11.44/11.65 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H167. zenon_intro zenon_H23a. % 11.44/11.65 apply (zenon_L134_); trivial. % 11.44/11.65 (* end of lemma zenon_L712_ *) % 11.44/11.65 assert (zenon_L713_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (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) (op (e1) (e3))) = (e3))) -> False). % 11.44/11.66 do 0 intro. intros zenon_Ha5 zenon_H125 zenon_H5c zenon_H172 zenon_H3e zenon_H55 zenon_H9d zenon_H11f zenon_Ha9 zenon_Hfe zenon_H5f zenon_H1aa zenon_H104 zenon_Hf0 zenon_H120 zenon_H1a3 zenon_H129 zenon_H246 zenon_H12c zenon_H247 zenon_H119 zenon_H8c. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.44/11.66 apply (zenon_L150_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.44/11.66 apply (zenon_L115_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.44/11.66 apply (zenon_L35_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.44/11.66 apply (zenon_L241_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.44/11.66 apply (zenon_L292_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.44/11.66 apply (zenon_L77_); trivial. % 11.44/11.66 apply (zenon_L335_); trivial. % 11.44/11.66 (* end of lemma zenon_L713_ *) % 11.44/11.66 assert (zenon_L714_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False). % 11.44/11.66 do 0 intro. intros zenon_Ha5 zenon_Ha8 zenon_H1b7 zenon_H55 zenon_H9d zenon_He8 zenon_Hf8 zenon_H120 zenon_H1a3 zenon_H129 zenon_H246 zenon_H12c zenon_H247 zenon_H5f zenon_H1ac zenon_H99 zenon_H69 zenon_Hfe zenon_Ha9 zenon_H11f zenon_H119 zenon_H8c. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.44/11.66 apply (zenon_L38_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.44/11.66 apply (zenon_L161_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.44/11.66 apply (zenon_L35_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.44/11.66 apply (zenon_L311_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.44/11.66 apply (zenon_L255_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.44/11.66 apply (zenon_L303_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H8d | zenon_intro zenon_H123 ]. % 11.44/11.66 apply (zenon_L543_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbe | zenon_intro zenon_H124 ]. % 11.44/11.66 apply (zenon_L296_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11a | zenon_intro zenon_Hc2 ]. % 11.44/11.66 apply (zenon_L83_); trivial. % 11.44/11.66 apply (zenon_L84_); trivial. % 11.44/11.66 (* end of lemma zenon_L714_ *) % 11.44/11.66 assert (zenon_L715_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H19a zenon_Ha8 zenon_Hd3 zenon_H46 zenon_H69 zenon_H68 zenon_H1b7. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.44/11.66 apply (zenon_L243_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.44/11.66 apply (zenon_L12_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.44/11.66 apply (zenon_L22_); trivial. % 11.44/11.66 apply (zenon_L161_); trivial. % 11.44/11.66 (* end of lemma zenon_L715_ *) % 11.44/11.66 assert (zenon_L716_ : (((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) (op (e3) (e1))) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (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). % 11.44/11.66 do 0 intro. intros zenon_H1a6 zenon_H5f zenon_Hae zenon_H1c8 zenon_H82 zenon_H1f zenon_H1b7 zenon_H68 zenon_H69 zenon_H46 zenon_H19a zenon_Ha8 zenon_H54 zenon_Hfe. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.66 apply (zenon_L533_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.66 apply (zenon_L198_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.66 apply (zenon_L71_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.66 apply (zenon_L351_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.66 apply (zenon_L715_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.66 apply (zenon_L392_); trivial. % 11.44/11.66 apply (zenon_L233_); trivial. % 11.44/11.66 (* end of lemma zenon_L716_ *) % 11.44/11.66 assert (zenon_L717_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H19a zenon_H3f zenon_H33 zenon_H46 zenon_H69 zenon_H68 zenon_H1b7. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.44/11.66 apply (zenon_L10_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.44/11.66 apply (zenon_L12_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.44/11.66 apply (zenon_L22_); trivial. % 11.44/11.66 apply (zenon_L161_); trivial. % 11.44/11.66 (* end of lemma zenon_L717_ *) % 11.44/11.66 assert (zenon_L718_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H24e zenon_H35 zenon_H5f zenon_H14f zenon_H69 zenon_H1e0 zenon_H1bf. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.44/11.66 apply (zenon_L229_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.44/11.66 apply (zenon_L101_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.44/11.66 apply (zenon_L317_); trivial. % 11.44/11.66 apply (zenon_L164_); trivial. % 11.44/11.66 (* end of lemma zenon_L718_ *) % 11.44/11.66 assert (zenon_L719_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H1c8 zenon_H96 zenon_H1b7 zenon_H68 zenon_H69 zenon_H46 zenon_Ha8 zenon_H19a zenon_H104 zenon_H127 zenon_H38 zenon_H82. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.66 apply (zenon_L195_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.66 apply (zenon_L715_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.66 apply (zenon_L168_); trivial. % 11.44/11.66 apply (zenon_L338_); trivial. % 11.44/11.66 (* end of lemma zenon_L719_ *) % 11.44/11.66 assert (zenon_L720_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H1a6 zenon_H1f zenon_Hae zenon_H69 zenon_H54 zenon_H68 zenon_H38 zenon_H5f. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.66 apply (zenon_L533_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.66 apply (zenon_L198_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.66 apply (zenon_L71_); trivial. % 11.44/11.66 apply (zenon_L362_); trivial. % 11.44/11.66 (* end of lemma zenon_L720_ *) % 11.44/11.66 assert (zenon_L721_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H24e zenon_H54 zenon_H68 zenon_H10d zenon_H65 zenon_H69 zenon_H1e0 zenon_H1bf. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.44/11.66 apply (zenon_L71_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.44/11.66 apply (zenon_L79_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.44/11.66 apply (zenon_L317_); trivial. % 11.44/11.66 apply (zenon_L164_); trivial. % 11.44/11.66 (* end of lemma zenon_L721_ *) % 11.44/11.66 assert (zenon_L722_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.44/11.66 do 0 intro. intros zenon_H1e1 zenon_H1bf zenon_H1e0 zenon_H69 zenon_H10d zenon_H68 zenon_H24e zenon_H65 zenon_H46 zenon_H22c zenon_Ha8 zenon_H127. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.44/11.66 apply (zenon_L721_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.44/11.66 apply (zenon_L20_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.44/11.66 exact (zenon_H22c zenon_H179). % 11.44/11.66 apply (zenon_L170_); trivial. % 11.44/11.66 (* end of lemma zenon_L722_ *) % 11.44/11.66 assert (zenon_L723_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.44/11.66 do 0 intro. intros zenon_H24e zenon_H1f3 zenon_Hd8 zenon_H11a zenon_H109 zenon_H69 zenon_H1e0 zenon_Hfe zenon_H127. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.44/11.66 apply (zenon_L278_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.44/11.66 apply (zenon_L286_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.44/11.66 apply (zenon_L317_); trivial. % 11.44/11.66 apply (zenon_L87_); trivial. % 11.44/11.66 (* end of lemma zenon_L723_ *) % 11.44/11.66 assert (zenon_L724_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.44/11.66 do 0 intro. intros zenon_H156 zenon_H59 zenon_Ha8 zenon_H22c zenon_H46 zenon_H68 zenon_H10d zenon_H1bf zenon_H1e1 zenon_H14f zenon_H24e zenon_H1f3 zenon_Hd8 zenon_H109 zenon_H69 zenon_H1e0 zenon_Hfe zenon_H127. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.66 apply (zenon_L113_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.66 apply (zenon_L722_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.66 apply (zenon_L101_); trivial. % 11.44/11.66 apply (zenon_L723_); trivial. % 11.44/11.66 (* end of lemma zenon_L724_ *) % 11.44/11.66 assert (zenon_L725_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.44/11.66 do 0 intro. intros zenon_H1e1 zenon_Hf0 zenon_H68 zenon_H3f zenon_H8a zenon_H22c zenon_Ha8 zenon_H127. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.44/11.66 apply (zenon_L71_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.44/11.66 apply (zenon_L29_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.44/11.66 exact (zenon_H22c zenon_H179). % 11.44/11.66 apply (zenon_L170_); trivial. % 11.44/11.66 (* end of lemma zenon_L725_ *) % 11.44/11.66 assert (zenon_L726_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (op (e1) (e0))) = (e0))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((e0) = (e2))) -> False). % 11.44/11.66 do 0 intro. intros zenon_Hc7 zenon_H2a zenon_H46 zenon_Ha8 zenon_H22c zenon_H3f zenon_Hf0 zenon_H1e1 zenon_H156 zenon_H68 zenon_H9d zenon_H127 zenon_H10d zenon_H58 zenon_H59 zenon_H109 zenon_H114 zenon_H14f zenon_H5f. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.66 apply (zenon_L6_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.66 apply (zenon_L46_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.66 apply (zenon_L725_); trivial. % 11.44/11.66 apply (zenon_L181_); trivial. % 11.44/11.66 (* end of lemma zenon_L726_ *) % 11.44/11.66 assert (zenon_L727_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.44/11.66 do 0 intro. intros zenon_H252 zenon_H38 zenon_H1de zenon_H3f zenon_H55 zenon_H5b zenon_H22e zenon_H82 zenon_H127. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.44/11.66 apply (zenon_L191_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.44/11.66 apply (zenon_L29_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.44/11.66 apply (zenon_L397_); trivial. % 11.44/11.66 apply (zenon_L410_); trivial. % 11.44/11.66 (* end of lemma zenon_L727_ *) % 11.44/11.66 assert (zenon_L728_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H25c zenon_He2 zenon_H1d4. % 11.44/11.66 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H127. zenon_intro zenon_H25d. % 11.44/11.66 apply (zenon_L176_); trivial. % 11.44/11.66 (* end of lemma zenon_L728_ *) % 11.44/11.66 assert (zenon_L729_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H19b zenon_Ha8 zenon_H3e zenon_H81 zenon_Hd5 zenon_Hfe zenon_H69 zenon_H25c zenon_H1d4. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.44/11.66 apply (zenon_L243_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.44/11.66 apply (zenon_L59_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.44/11.66 apply (zenon_L211_); trivial. % 11.44/11.66 apply (zenon_L728_); trivial. % 11.44/11.66 (* end of lemma zenon_L729_ *) % 11.44/11.66 assert (zenon_L730_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.44/11.66 do 0 intro. intros zenon_Hc4 zenon_H1d4 zenon_H25c zenon_H69 zenon_Hfe zenon_Hd5 zenon_H3e zenon_H19b zenon_H46 zenon_H9d zenon_H127 zenon_Hbe zenon_Ha8. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.44/11.66 apply (zenon_L729_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.44/11.66 apply (zenon_L49_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.44/11.66 apply (zenon_L179_); trivial. % 11.44/11.66 apply (zenon_L51_); trivial. % 11.44/11.66 (* end of lemma zenon_L730_ *) % 11.44/11.66 assert (zenon_L731_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.44/11.66 do 0 intro. intros zenon_H19a zenon_Ha8 zenon_Hbe zenon_H127 zenon_H9d zenon_H19b zenon_Hd5 zenon_Hfe zenon_H25c zenon_H1d4 zenon_Hc4 zenon_H46 zenon_H69 zenon_H68 zenon_Hcc zenon_H70. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.44/11.66 apply (zenon_L730_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.44/11.66 apply (zenon_L12_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.44/11.66 apply (zenon_L22_); trivial. % 11.44/11.66 apply (zenon_L56_); trivial. % 11.44/11.66 (* end of lemma zenon_L731_ *) % 11.44/11.66 assert (zenon_L732_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.44/11.66 do 0 intro. intros zenon_He5 zenon_H88 zenon_H82 zenon_H22e zenon_H5b zenon_H3f zenon_H1de zenon_H38 zenon_H252 zenon_H19a zenon_Ha8 zenon_H127 zenon_H9d zenon_H19b zenon_Hd5 zenon_Hfe zenon_H25c zenon_H1d4 zenon_Hc4 zenon_H46 zenon_H69 zenon_H68 zenon_Hcc zenon_H70. % 11.44/11.66 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.44/11.66 apply (zenon_L46_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.44/11.66 apply (zenon_L12_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.44/11.66 apply (zenon_L727_); trivial. % 11.44/11.66 apply (zenon_L731_); trivial. % 11.44/11.66 (* end of lemma zenon_L732_ *) % 11.44/11.66 assert (zenon_L733_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.44/11.66 do 0 intro. intros zenon_H19a zenon_H8c zenon_H8a zenon_H82 zenon_Hbe zenon_H19b zenon_Ha8 zenon_Hd5 zenon_Hfe zenon_H25c zenon_H1d4 zenon_Hc4 zenon_H46 zenon_H69 zenon_H68 zenon_Hcc zenon_H70. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.44/11.66 apply (zenon_L729_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.44/11.66 apply (zenon_L49_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.44/11.66 apply (zenon_L50_); trivial. % 11.44/11.66 apply (zenon_L84_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.44/11.66 apply (zenon_L12_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.44/11.66 apply (zenon_L22_); trivial. % 11.44/11.66 apply (zenon_L56_); trivial. % 11.44/11.66 (* end of lemma zenon_L733_ *) % 11.44/11.66 assert (zenon_L734_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.44/11.66 do 0 intro. intros zenon_He5 zenon_Hf8 zenon_H3e zenon_H87 zenon_H3f zenon_H19a zenon_H8c zenon_H8a zenon_H82 zenon_H19b zenon_Ha8 zenon_Hd5 zenon_Hfe zenon_H25c zenon_H1d4 zenon_Hc4 zenon_H46 zenon_H69 zenon_H68 zenon_Hcc zenon_H70. % 11.44/11.66 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.44/11.66 apply (zenon_L113_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.44/11.66 apply (zenon_L263_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.44/11.66 apply (zenon_L29_); trivial. % 11.44/11.66 apply (zenon_L733_); trivial. % 11.44/11.66 (* end of lemma zenon_L734_ *) % 11.44/11.66 assert (zenon_L735_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.44/11.66 do 0 intro. intros zenon_H156 zenon_H70 zenon_Hcc zenon_Hc4 zenon_H1d4 zenon_H25c zenon_Hd5 zenon_H19b zenon_H82 zenon_H8c zenon_H19a zenon_H3f zenon_H87 zenon_H3e zenon_He5 zenon_Ha8 zenon_H22c zenon_H46 zenon_H68 zenon_H10d zenon_H1bf zenon_H1e1 zenon_H8a zenon_H5f zenon_H24e zenon_H1f3 zenon_Hd8 zenon_H109 zenon_H69 zenon_H1e0 zenon_Hfe zenon_H127. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.66 apply (zenon_L734_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.66 apply (zenon_L722_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.66 apply (zenon_L208_); trivial. % 11.44/11.66 apply (zenon_L723_); trivial. % 11.44/11.66 (* end of lemma zenon_L735_ *) % 11.44/11.66 assert (zenon_L736_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.44/11.66 do 0 intro. intros zenon_H156 zenon_H59 zenon_H1bf zenon_H10d zenon_H68 zenon_H54 zenon_H8a zenon_H5f zenon_H24e zenon_H1f3 zenon_Hd8 zenon_H109 zenon_H69 zenon_H1e0 zenon_Hfe zenon_H127. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.66 apply (zenon_L113_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.66 apply (zenon_L721_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.66 apply (zenon_L208_); trivial. % 11.44/11.66 apply (zenon_L723_); trivial. % 11.44/11.66 (* end of lemma zenon_L736_ *) % 11.44/11.66 assert (zenon_L737_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H157 zenon_Ha8 zenon_H5c zenon_Hd8 zenon_H195 zenon_H167 zenon_Hfe. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.44/11.66 apply (zenon_L119_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.44/11.66 apply (zenon_L62_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.44/11.66 exact (zenon_H195 zenon_H112). % 11.44/11.66 apply (zenon_L138_); trivial. % 11.44/11.66 (* end of lemma zenon_L737_ *) % 11.44/11.66 assert (zenon_L738_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (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))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.44/11.66 do 0 intro. intros zenon_H1a6 zenon_Hfe zenon_H195 zenon_H5c zenon_Ha8 zenon_H157 zenon_H5f zenon_H33 zenon_H295 zenon_H1a3 zenon_H167. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.66 apply (zenon_L737_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.66 apply (zenon_L18_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.66 apply (zenon_L461_); trivial. % 11.44/11.66 apply (zenon_L148_); trivial. % 11.44/11.66 (* end of lemma zenon_L738_ *) % 11.44/11.66 assert (zenon_L739_ : (((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)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.44/11.66 do 0 intro. intros zenon_H11f zenon_H68 zenon_H70 zenon_He2 zenon_Hfe zenon_H1bf zenon_H246 zenon_H167. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.44/11.66 apply (zenon_L163_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.44/11.66 apply (zenon_L367_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.44/11.66 apply (zenon_L164_); trivial. % 11.44/11.66 apply (zenon_L294_); trivial. % 11.44/11.66 (* end of lemma zenon_L739_ *) % 11.44/11.66 assert (zenon_L740_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((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) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H236 zenon_Ha8 zenon_H167 zenon_H246 zenon_H1bf zenon_Hfe zenon_H70 zenon_H68 zenon_H11f zenon_H1ac zenon_H82 zenon_H1b0. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H237 ]. % 11.44/11.66 apply (zenon_L38_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_He2 | zenon_intro zenon_H238 ]. % 11.44/11.66 apply (zenon_L739_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H127 | zenon_intro zenon_H132 ]. % 11.44/11.66 apply (zenon_L410_); trivial. % 11.44/11.66 apply (zenon_L187_); trivial. % 11.44/11.66 (* end of lemma zenon_L740_ *) % 11.44/11.66 assert (zenon_L741_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H236 zenon_H16a zenon_H20a zenon_Hbc zenon_H104 zenon_Hfd zenon_H1b0. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H237 ]. % 11.44/11.66 apply (zenon_L158_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_He2 | zenon_intro zenon_H238 ]. % 11.44/11.66 apply (zenon_L216_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H127 | zenon_intro zenon_H132 ]. % 11.44/11.66 apply (zenon_L168_); trivial. % 11.44/11.66 apply (zenon_L187_); trivial. % 11.44/11.66 (* end of lemma zenon_L741_ *) % 11.44/11.66 assert (zenon_L742_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e2)) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H1da zenon_He8 zenon_H2b zenon_H5f zenon_H6f zenon_H82 zenon_H11f zenon_H68 zenon_H70 zenon_Hfe zenon_H1bf zenon_H246 zenon_H167 zenon_Ha8 zenon_H236 zenon_H20a zenon_Hbc zenon_H104 zenon_Hfd zenon_H1b0. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.44/11.66 apply (zenon_L67_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.44/11.66 apply (zenon_L292_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.44/11.66 apply (zenon_L740_); trivial. % 11.44/11.66 apply (zenon_L741_); trivial. % 11.44/11.66 (* end of lemma zenon_L742_ *) % 11.44/11.66 assert (zenon_L743_ : (((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). % 11.44/11.66 do 0 intro. intros zenon_H157 zenon_Ha8 zenon_H5c zenon_H99 zenon_He2 zenon_H195 zenon_H167 zenon_Hfe. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.44/11.66 apply (zenon_L119_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.44/11.66 apply (zenon_L276_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.44/11.66 exact (zenon_H195 zenon_H112). % 11.44/11.66 apply (zenon_L138_); trivial. % 11.44/11.66 (* end of lemma zenon_L743_ *) % 11.44/11.66 assert (zenon_L744_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.44/11.66 do 0 intro. intros zenon_Hab zenon_H1f3 zenon_H54 zenon_H3f zenon_H2b zenon_H195 zenon_H99 zenon_Ha8 zenon_H157 zenon_H11f zenon_H68 zenon_He2 zenon_Hfe zenon_H1bf zenon_H246 zenon_H167. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.44/11.66 apply (zenon_L254_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.44/11.66 apply (zenon_L44_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.44/11.66 apply (zenon_L743_); trivial. % 11.44/11.66 apply (zenon_L739_); trivial. % 11.44/11.66 (* end of lemma zenon_L744_ *) % 11.44/11.66 assert (zenon_L745_ : (((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) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((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))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H236 zenon_H95 zenon_H6d zenon_H167 zenon_H246 zenon_H1bf zenon_Hfe zenon_H68 zenon_H11f zenon_H157 zenon_Ha8 zenon_H99 zenon_H195 zenon_H2b zenon_H3f zenon_H54 zenon_H1f3 zenon_Hab zenon_H9d zenon_Hc0 zenon_H1b0. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H237 ]. % 11.44/11.66 apply (zenon_L266_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_He2 | zenon_intro zenon_H238 ]. % 11.44/11.66 apply (zenon_L744_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H127 | zenon_intro zenon_H132 ]. % 11.44/11.66 apply (zenon_L179_); trivial. % 11.44/11.66 apply (zenon_L187_); trivial. % 11.44/11.66 (* end of lemma zenon_L745_ *) % 11.44/11.66 assert (zenon_L746_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H183 zenon_H13e zenon_H180 zenon_H1de zenon_Ha2 zenon_H295 zenon_H127 zenon_H104. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H35 | zenon_intro zenon_H184 ]. % 11.44/11.66 apply (zenon_L123_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H54 | zenon_intro zenon_H185 ]. % 11.44/11.66 apply (zenon_L182_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfd ]. % 11.44/11.66 apply (zenon_L461_); trivial. % 11.44/11.66 apply (zenon_L168_); trivial. % 11.44/11.66 (* end of lemma zenon_L746_ *) % 11.44/11.66 assert (zenon_L747_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.44/11.66 do 0 intro. intros zenon_H252 zenon_H33 zenon_H34 zenon_H10c zenon_H5f zenon_H104 zenon_H295 zenon_Ha2 zenon_H1de zenon_H180 zenon_H183 zenon_H82 zenon_H127. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.44/11.66 apply (zenon_L8_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.44/11.66 apply (zenon_L208_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.44/11.66 apply (zenon_L746_); trivial. % 11.44/11.66 apply (zenon_L410_); trivial. % 11.44/11.66 (* end of lemma zenon_L747_ *) % 11.44/11.66 assert (zenon_L748_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.44/11.66 do 0 intro. intros zenon_H16c zenon_H39 zenon_H33 zenon_H82 zenon_Hc2 zenon_H5f zenon_H167 zenon_H169 zenon_Hb5. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H38 | zenon_intro zenon_H16d ]. % 11.44/11.66 apply (zenon_L9_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8d | zenon_intro zenon_H16e ]. % 11.44/11.66 apply (zenon_L256_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H144 | zenon_intro zenon_H16a ]. % 11.44/11.66 apply (zenon_L109_); trivial. % 11.44/11.66 apply (zenon_L110_); trivial. % 11.44/11.66 (* end of lemma zenon_L748_ *) % 11.44/11.66 assert (zenon_L749_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.44/11.66 do 0 intro. intros zenon_H7e zenon_H4f zenon_Hd8 zenon_H10d zenon_H10c zenon_H167 zenon_H192 zenon_Hfe zenon_He2. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.44/11.66 apply (zenon_L116_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.44/11.66 apply (zenon_L79_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.44/11.66 apply (zenon_L134_); trivial. % 11.44/11.66 apply (zenon_L367_); trivial. % 11.44/11.66 (* end of lemma zenon_L749_ *) % 11.44/11.66 assert (zenon_L750_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (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 (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((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). % 11.44/11.66 do 0 intro. intros zenon_H156 zenon_H5f zenon_H1b0 zenon_H114 zenon_H2b zenon_H58 zenon_H9d zenon_H53 zenon_Hfd zenon_Ha8 zenon_H95 zenon_H96 zenon_Ha5 zenon_He2 zenon_Hfe zenon_H192 zenon_H10d zenon_Hd8 zenon_H4f zenon_H7e zenon_H167 zenon_H12c. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.66 apply (zenon_L196_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.66 apply (zenon_L366_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.66 apply (zenon_L749_); trivial. % 11.44/11.66 apply (zenon_L143_); trivial. % 11.44/11.66 (* end of lemma zenon_L750_ *) % 11.44/11.66 assert (zenon_L751_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.44/11.66 do 0 intro. intros zenon_H24a zenon_H129 zenon_Ha8 zenon_Hc2 zenon_H167 zenon_H68 zenon_H1b0 zenon_He2. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.44/11.66 apply (zenon_L88_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.44/11.66 apply (zenon_L51_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.44/11.66 apply (zenon_L121_); trivial. % 11.44/11.66 apply (zenon_L314_); trivial. % 11.44/11.66 (* end of lemma zenon_L751_ *) % 11.44/11.66 assert (zenon_L752_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.44/11.66 do 0 intro. intros zenon_H1c8 zenon_H96 zenon_H172 zenon_Hfe zenon_Hf0 zenon_H24a zenon_Ha8 zenon_Hc2 zenon_H167 zenon_H68 zenon_H1b0 zenon_He2. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.66 apply (zenon_L195_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.66 apply (zenon_L309_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.66 apply (zenon_L75_); trivial. % 11.44/11.66 apply (zenon_L751_); trivial. % 11.44/11.66 (* end of lemma zenon_L752_ *) % 11.44/11.66 assert (zenon_L753_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((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)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.44/11.66 do 0 intro. intros zenon_Hab zenon_H1a3 zenon_H1c8 zenon_H172 zenon_H24a zenon_Hc2 zenon_H1b0 zenon_H33 zenon_H5f zenon_H12c zenon_H7e zenon_H4f zenon_H10d zenon_H192 zenon_Ha5 zenon_H95 zenon_H53 zenon_H9d zenon_H58 zenon_H114 zenon_H156 zenon_Ha2 zenon_H1a6 zenon_H3f zenon_H2b zenon_H195 zenon_H99 zenon_Ha8 zenon_H157 zenon_H11f zenon_H68 zenon_He2 zenon_Hfe zenon_H1bf zenon_H246 zenon_H167. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.66 apply (zenon_L195_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.66 apply (zenon_L309_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.66 apply (zenon_L750_); trivial. % 11.44/11.66 apply (zenon_L88_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.66 apply (zenon_L18_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.66 apply (zenon_L752_); trivial. % 11.44/11.66 apply (zenon_L148_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.44/11.66 apply (zenon_L44_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.44/11.66 apply (zenon_L743_); trivial. % 11.44/11.66 apply (zenon_L739_); trivial. % 11.44/11.66 (* end of lemma zenon_L753_ *) % 11.44/11.66 assert (zenon_L754_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((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))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H236 zenon_H16a zenon_H167 zenon_H246 zenon_H1bf zenon_Hfe zenon_H68 zenon_H11f zenon_H157 zenon_Ha8 zenon_H99 zenon_H195 zenon_H2b zenon_H3f zenon_H1a6 zenon_H156 zenon_H114 zenon_H58 zenon_H9d zenon_H53 zenon_H95 zenon_Ha5 zenon_H192 zenon_H10d zenon_H4f zenon_H7e zenon_H12c zenon_Hc2 zenon_H24a zenon_H172 zenon_H1c8 zenon_H1a3 zenon_Hab zenon_H82 zenon_H183 zenon_H180 zenon_H1de zenon_Ha2 zenon_H295 zenon_H104 zenon_H5f zenon_H10c zenon_H34 zenon_H33 zenon_H252 zenon_H1b0. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H237 ]. % 11.44/11.66 apply (zenon_L158_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_He2 | zenon_intro zenon_H238 ]. % 11.44/11.66 apply (zenon_L753_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H127 | zenon_intro zenon_H132 ]. % 11.44/11.66 apply (zenon_L747_); trivial. % 11.44/11.66 apply (zenon_L187_); trivial. % 11.44/11.66 (* end of lemma zenon_L754_ *) % 11.44/11.66 assert (zenon_L755_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e0)) = (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (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 (e0) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (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)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (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))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((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 (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H23b zenon_H1f3 zenon_H54 zenon_H6d zenon_H1da zenon_H39 zenon_H16c zenon_H1b0 zenon_H252 zenon_H33 zenon_H34 zenon_H10c zenon_H5f zenon_H104 zenon_H295 zenon_H1de zenon_H180 zenon_H183 zenon_H82 zenon_Hab zenon_H1a3 zenon_H1c8 zenon_H172 zenon_H24a zenon_H12c zenon_H7e zenon_H4f zenon_H10d zenon_Ha5 zenon_H95 zenon_H53 zenon_H9d zenon_H58 zenon_H114 zenon_H156 zenon_H1a6 zenon_H3f zenon_H2b zenon_H195 zenon_H99 zenon_H157 zenon_H11f zenon_H68 zenon_Hfe zenon_H1bf zenon_H246 zenon_H167 zenon_H236 zenon_Ha8 zenon_Hc2 zenon_H6a zenon_H192 zenon_H1d1 zenon_H169 zenon_H6f zenon_Hcc zenon_H1ce. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.44/11.66 apply (zenon_L392_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.44/11.66 apply (zenon_L745_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.44/11.66 exact (zenon_H195 zenon_H112). % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.44/11.66 apply (zenon_L748_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.44/11.66 apply (zenon_L292_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.44/11.66 apply (zenon_L410_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.44/11.66 apply (zenon_L754_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.44/11.66 apply (zenon_L51_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.44/11.66 apply (zenon_L394_); trivial. % 11.44/11.66 apply (zenon_L175_); trivial. % 11.44/11.66 (* end of lemma zenon_L755_ *) % 11.44/11.66 assert (zenon_L756_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.44/11.66 do 0 intro. intros zenon_H11f zenon_H68 zenon_H70 zenon_H5e zenon_H172 zenon_H1bf zenon_H246 zenon_H167. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.44/11.66 apply (zenon_L163_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.44/11.66 apply (zenon_L289_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.44/11.66 apply (zenon_L164_); trivial. % 11.44/11.66 apply (zenon_L294_); trivial. % 11.44/11.66 (* end of lemma zenon_L756_ *) % 11.44/11.66 assert (zenon_L757_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e2)) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H1da zenon_H1e4 zenon_H5f zenon_H6f zenon_H82 zenon_H11f zenon_H68 zenon_H70 zenon_Hfe zenon_H1bf zenon_H246 zenon_H167 zenon_Ha8 zenon_H236 zenon_H172 zenon_Hd3 zenon_H9d zenon_Hc0 zenon_H1b0. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.44/11.66 apply (zenon_L185_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.44/11.66 apply (zenon_L292_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.44/11.66 apply (zenon_L740_); trivial. % 11.44/11.66 apply (zenon_L576_); trivial. % 11.44/11.66 (* end of lemma zenon_L757_ *) % 11.44/11.66 assert (zenon_L758_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.44/11.66 do 0 intro. intros zenon_Hc4 zenon_H2b zenon_H87 zenon_H1b0 zenon_H9d zenon_Hd3 zenon_H172 zenon_H236 zenon_H167 zenon_H246 zenon_H1bf zenon_Hfe zenon_H70 zenon_H68 zenon_H11f zenon_H82 zenon_H6f zenon_H5f zenon_H1e4 zenon_H1da zenon_Hbe zenon_Ha8. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.44/11.66 apply (zenon_L27_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.44/11.66 apply (zenon_L117_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.44/11.66 apply (zenon_L757_); trivial. % 11.44/11.66 apply (zenon_L51_); trivial. % 11.44/11.66 (* end of lemma zenon_L758_ *) % 11.44/11.66 assert (zenon_L759_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((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). % 11.44/11.66 do 0 intro. intros zenon_H156 zenon_H273 zenon_H1f3 zenon_H24e zenon_Ha8 zenon_Hbe zenon_H1da zenon_H1e4 zenon_H5f zenon_H82 zenon_H11f zenon_H68 zenon_H70 zenon_Hfe zenon_H1bf zenon_H246 zenon_H236 zenon_H172 zenon_Hd3 zenon_H9d zenon_H1b0 zenon_H87 zenon_H2b zenon_Hc4 zenon_H6a zenon_H10d zenon_Hd8 zenon_H4f zenon_H7e zenon_H167 zenon_H12c. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.66 apply (zenon_L196_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.66 apply (zenon_L417_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.44/11.66 apply (zenon_L116_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.44/11.66 apply (zenon_L79_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.44/11.66 apply (zenon_L22_); trivial. % 11.44/11.66 apply (zenon_L758_); trivial. % 11.44/11.66 apply (zenon_L143_); trivial. % 11.44/11.66 (* end of lemma zenon_L759_ *) % 11.44/11.66 assert (zenon_L760_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((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)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (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) (op (e3) (e2))) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e0))) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (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 (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H23b zenon_H54 zenon_H195 zenon_Hc2 zenon_H39 zenon_H16c zenon_H24a zenon_H183 zenon_H180 zenon_H1de zenon_H295 zenon_H104 zenon_H10c zenon_H34 zenon_H33 zenon_H252 zenon_H12c zenon_H7e zenon_H4f zenon_Hd8 zenon_H10d zenon_H6a zenon_Hc4 zenon_H2b zenon_H87 zenon_H1b0 zenon_H9d zenon_Hd3 zenon_H172 zenon_H236 zenon_H246 zenon_H1bf zenon_Hfe zenon_H70 zenon_H11f zenon_H82 zenon_H5f zenon_H1e4 zenon_H1da zenon_Ha8 zenon_H24e zenon_H1f3 zenon_H273 zenon_H156 zenon_H167 zenon_H68 zenon_H1d1 zenon_H169 zenon_H6f zenon_Hcc zenon_H1ce. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.44/11.66 apply (zenon_L392_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.44/11.66 apply (zenon_L757_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.44/11.66 exact (zenon_H195 zenon_H112). % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.44/11.66 apply (zenon_L748_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.44/11.66 apply (zenon_L292_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.44/11.66 apply (zenon_L410_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.44/11.66 apply (zenon_L747_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.44/11.66 apply (zenon_L759_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.44/11.66 apply (zenon_L121_); trivial. % 11.44/11.66 apply (zenon_L175_); trivial. % 11.44/11.66 (* end of lemma zenon_L760_ *) % 11.44/11.66 assert (zenon_L761_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H1a0 zenon_H4f zenon_H5e zenon_H5f zenon_H2b zenon_H167 zenon_H186 zenon_H70 zenon_H68. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.66 apply (zenon_L116_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.66 apply (zenon_L196_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.66 apply (zenon_L146_); trivial. % 11.44/11.66 apply (zenon_L163_); trivial. % 11.44/11.66 (* end of lemma zenon_L761_ *) % 11.44/11.66 assert (zenon_L762_ : (((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 (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H157 zenon_H82 zenon_H5b zenon_Hd3 zenon_Hae zenon_H195 zenon_H167 zenon_Hfe. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.44/11.66 apply (zenon_L32_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.44/11.66 apply (zenon_L199_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.44/11.66 exact (zenon_H195 zenon_H112). % 11.44/11.66 apply (zenon_L138_); trivial. % 11.44/11.66 (* end of lemma zenon_L762_ *) % 11.44/11.66 assert (zenon_L763_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.66 do 0 intro. intros zenon_H1a0 zenon_H4f zenon_H5e zenon_H68 zenon_H59 zenon_H5f zenon_H5b zenon_Hfe zenon_Ha9. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.66 apply (zenon_L116_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.66 apply (zenon_L113_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.66 apply (zenon_L70_); trivial. % 11.44/11.66 apply (zenon_L241_); trivial. % 11.44/11.66 (* end of lemma zenon_L763_ *) % 11.44/11.66 assert (zenon_L764_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H1a6 zenon_H21 zenon_Ha9 zenon_Hfe zenon_H5b zenon_H59 zenon_H4f zenon_H1a0 zenon_H35 zenon_H5f zenon_Ha2 zenon_H68. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.66 apply (zenon_L439_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.66 apply (zenon_L763_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.66 apply (zenon_L229_); trivial. % 11.44/11.66 apply (zenon_L152_); trivial. % 11.44/11.66 (* end of lemma zenon_L764_ *) % 11.44/11.66 assert (zenon_L765_ : (((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)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H157 zenon_H82 zenon_H5b zenon_H99 zenon_He2 zenon_H195 zenon_H167 zenon_Hfe. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.44/11.66 apply (zenon_L32_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.44/11.66 apply (zenon_L276_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.44/11.66 exact (zenon_H195 zenon_H112). % 11.44/11.66 apply (zenon_L138_); trivial. % 11.44/11.66 (* end of lemma zenon_L765_ *) % 11.44/11.66 assert (zenon_L766_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H236 zenon_H68 zenon_Ha2 zenon_H5f zenon_H35 zenon_H1a0 zenon_H4f zenon_H59 zenon_H21 zenon_H1a6 zenon_Hfe zenon_H167 zenon_H195 zenon_H99 zenon_H5b zenon_H82 zenon_H157 zenon_H9e zenon_Ha8 zenon_H1b0. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H237 ]. % 11.44/11.66 apply (zenon_L764_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_He2 | zenon_intro zenon_H238 ]. % 11.44/11.66 apply (zenon_L765_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H127 | zenon_intro zenon_H132 ]. % 11.44/11.66 apply (zenon_L170_); trivial. % 11.44/11.66 apply (zenon_L187_); trivial. % 11.44/11.66 (* end of lemma zenon_L766_ *) % 11.44/11.66 assert (zenon_L767_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (op (e0) (e3))) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (op (e0) (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 (e0) (op (e0) (e2))) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((e1) = (e3))) -> (((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 (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (op (e3) (e2))) = (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) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H26d zenon_H288 zenon_Hae zenon_Hab zenon_H27c zenon_H1c8 zenon_H1a3 zenon_H295 zenon_Ha5 zenon_H1b7 zenon_H1b0 zenon_Ha8 zenon_H157 zenon_H82 zenon_H99 zenon_H195 zenon_Hfe zenon_H4f zenon_H1a0 zenon_H236 zenon_Ha1 zenon_H3f zenon_H5b zenon_H1a6 zenon_H21 zenon_H167 zenon_H246 zenon_H1bf zenon_H172 zenon_H11f zenon_H35 zenon_H5f zenon_H68. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.66 apply (zenon_L195_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.66 apply (zenon_L762_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.66 apply (zenon_L201_); trivial. % 11.44/11.66 apply (zenon_L448_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.44/11.66 apply (zenon_L437_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.44/11.66 apply (zenon_L235_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.44/11.66 apply (zenon_L474_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.66 apply (zenon_L439_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.44/11.66 apply (zenon_L756_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.44/11.66 apply (zenon_L161_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.44/11.66 apply (zenon_L766_); trivial. % 11.44/11.66 apply (zenon_L36_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.66 apply (zenon_L461_); trivial. % 11.44/11.66 apply (zenon_L148_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.44/11.66 apply (zenon_L17_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.66 apply (zenon_L439_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.66 apply (zenon_L756_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.66 apply (zenon_L229_); trivial. % 11.44/11.66 apply (zenon_L152_); trivial. % 11.44/11.66 (* end of lemma zenon_L767_ *) % 11.44/11.66 assert (zenon_L768_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H16c zenon_H3f zenon_Ha2 zenon_H82 zenon_Hc2 zenon_H5f zenon_H167 zenon_H236 zenon_H20a zenon_Hbc zenon_H104 zenon_Hfd zenon_H1b0. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H38 | zenon_intro zenon_H16d ]. % 11.44/11.66 apply (zenon_L348_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8d | zenon_intro zenon_H16e ]. % 11.44/11.66 apply (zenon_L256_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H144 | zenon_intro zenon_H16a ]. % 11.44/11.66 apply (zenon_L109_); trivial. % 11.44/11.66 apply (zenon_L741_); trivial. % 11.44/11.66 (* end of lemma zenon_L768_ *) % 11.44/11.66 assert (zenon_L769_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H236 zenon_H16a zenon_H99 zenon_Hda zenon_H104 zenon_H295 zenon_Ha2 zenon_H1de zenon_H180 zenon_H13e zenon_H183 zenon_H1b0. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H237 ]. % 11.44/11.66 apply (zenon_L158_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_He2 | zenon_intro zenon_H238 ]. % 11.44/11.66 apply (zenon_L276_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H127 | zenon_intro zenon_H132 ]. % 11.44/11.66 apply (zenon_L746_); trivial. % 11.44/11.66 apply (zenon_L187_); trivial. % 11.44/11.66 (* end of lemma zenon_L769_ *) % 11.44/11.66 assert (zenon_L770_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e2))) -> ((op (e2) (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)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H16c zenon_H39 zenon_H33 zenon_H82 zenon_Hc2 zenon_H5f zenon_H167 zenon_H236 zenon_H99 zenon_Hda zenon_H104 zenon_H295 zenon_Ha2 zenon_H1de zenon_H180 zenon_H13e zenon_H183 zenon_H1b0. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H38 | zenon_intro zenon_H16d ]. % 11.44/11.66 apply (zenon_L9_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8d | zenon_intro zenon_H16e ]. % 11.44/11.66 apply (zenon_L256_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H144 | zenon_intro zenon_H16a ]. % 11.44/11.66 apply (zenon_L109_); trivial. % 11.44/11.66 apply (zenon_L769_); trivial. % 11.44/11.66 (* end of lemma zenon_L770_ *) % 11.44/11.66 assert (zenon_L771_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (op (e0) (e3))) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (op (e0) (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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((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) (op (e0) (e0))) = (e0))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((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 (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H146 zenon_H11f zenon_H68 zenon_H70 zenon_Hfe zenon_H1bf zenon_H246 zenon_Ha8 zenon_H10c zenon_H26d zenon_H288 zenon_Hae zenon_Hab zenon_H27c zenon_H1c8 zenon_H1a3 zenon_Ha5 zenon_H1b7 zenon_H157 zenon_H195 zenon_H4f zenon_H1a0 zenon_Ha1 zenon_H3f zenon_H1a6 zenon_H21 zenon_H172 zenon_H252 zenon_H1b0 zenon_H183 zenon_H180 zenon_H1de zenon_Ha2 zenon_H295 zenon_H104 zenon_Hda zenon_H99 zenon_H236 zenon_Hc2 zenon_H82 zenon_H33 zenon_H39 zenon_H16c zenon_H167 zenon_H5f. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.44/11.66 apply (zenon_L767_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.44/11.66 apply (zenon_L208_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.44/11.66 apply (zenon_L770_); trivial. % 11.44/11.66 apply (zenon_L740_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.44/11.66 apply (zenon_L95_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.44/11.66 apply (zenon_L770_); trivial. % 11.44/11.66 apply (zenon_L109_); trivial. % 11.44/11.66 (* end of lemma zenon_L771_ *) % 11.44/11.66 assert (zenon_L772_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((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 (e0) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (op (e0) (e3))) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((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)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.44/11.66 do 0 intro. intros zenon_Hc4 zenon_H6f zenon_He8 zenon_H1da zenon_H19b zenon_Hfd zenon_H20a zenon_H16c zenon_H39 zenon_H82 zenon_H236 zenon_H104 zenon_H295 zenon_H1de zenon_H180 zenon_H183 zenon_H252 zenon_H21 zenon_Ha1 zenon_H1a0 zenon_H1b7 zenon_H27c zenon_Hae zenon_H288 zenon_H26d zenon_H10c zenon_H70 zenon_H146 zenon_Hab zenon_H1a3 zenon_H1c8 zenon_H172 zenon_H24a zenon_H1b0 zenon_H33 zenon_H5f zenon_H12c zenon_H7e zenon_H4f zenon_H10d zenon_H192 zenon_Ha5 zenon_H95 zenon_H53 zenon_H9d zenon_H58 zenon_H114 zenon_H156 zenon_Ha2 zenon_H1a6 zenon_H3f zenon_H2b zenon_H195 zenon_H99 zenon_Ha8 zenon_H157 zenon_H11f zenon_H68 zenon_Hfe zenon_H1bf zenon_H246 zenon_H167. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.44/11.66 apply (zenon_L27_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.44/11.66 apply (zenon_L742_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.44/11.66 apply (zenon_L125_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.44/11.66 apply (zenon_L451_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.44/11.66 apply (zenon_L768_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.44/11.66 apply (zenon_L771_); trivial. % 11.44/11.66 apply (zenon_L753_); trivial. % 11.44/11.66 (* end of lemma zenon_L772_ *) % 11.44/11.66 assert (zenon_L773_ : (((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 (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H236 zenon_H125 zenon_H93 zenon_H20a zenon_Hbc zenon_H9d zenon_Hc0 zenon_H1b0. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H237 ]. % 11.44/11.66 apply (zenon_L355_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_He2 | zenon_intro zenon_H238 ]. % 11.44/11.66 apply (zenon_L216_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H127 | zenon_intro zenon_H132 ]. % 11.44/11.66 apply (zenon_L179_); trivial. % 11.44/11.66 apply (zenon_L187_); trivial. % 11.44/11.66 (* end of lemma zenon_L773_ *) % 11.44/11.66 assert (zenon_L774_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (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) (e1)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H1da zenon_He8 zenon_H2b zenon_H33 zenon_H172 zenon_Hc0 zenon_H53 zenon_H10c zenon_H179 zenon_H236 zenon_H99 zenon_Hda zenon_H104 zenon_H295 zenon_Ha2 zenon_H1de zenon_H180 zenon_H13e zenon_H183 zenon_H1b0. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.44/11.66 apply (zenon_L67_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.44/11.66 apply (zenon_L155_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.44/11.66 apply (zenon_L442_); trivial. % 11.44/11.66 apply (zenon_L769_); trivial. % 11.44/11.66 (* end of lemma zenon_L774_ *) % 11.44/11.66 assert (zenon_L775_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.44/11.66 do 0 intro. intros zenon_H157 zenon_H9d zenon_Hbc zenon_H20a zenon_H125 zenon_H1b0 zenon_H183 zenon_H13e zenon_H180 zenon_H1de zenon_Ha2 zenon_H295 zenon_H104 zenon_H99 zenon_H236 zenon_H179 zenon_H10c zenon_H53 zenon_Hc0 zenon_H172 zenon_H33 zenon_H2b zenon_He8 zenon_H1da zenon_H195 zenon_H167 zenon_Hfe. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.44/11.66 apply (zenon_L773_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.44/11.66 apply (zenon_L774_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.44/11.66 exact (zenon_H195 zenon_H112). % 11.44/11.66 apply (zenon_L138_); trivial. % 11.44/11.66 (* end of lemma zenon_L775_ *) % 11.44/11.66 assert (zenon_L776_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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)) = (e1)) -> False). % 11.44/11.66 do 0 intro. intros zenon_H1e1 zenon_H68 zenon_Hfe zenon_H167 zenon_H195 zenon_H1da zenon_He8 zenon_H2b zenon_H33 zenon_H172 zenon_Hc0 zenon_H53 zenon_H10c zenon_H236 zenon_H99 zenon_H104 zenon_H295 zenon_Ha2 zenon_H1de zenon_H180 zenon_H13e zenon_H183 zenon_H1b0 zenon_H125 zenon_H20a zenon_Hbc zenon_H9d zenon_H157 zenon_H1ce zenon_H70. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.44/11.66 apply (zenon_L182_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.44/11.66 apply (zenon_L245_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.44/11.66 apply (zenon_L775_); trivial. % 11.44/11.66 apply (zenon_L384_); trivial. % 11.44/11.66 (* end of lemma zenon_L776_ *) % 11.44/11.66 assert (zenon_L777_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((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 (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.44/11.66 do 0 intro. intros zenon_H1e1 zenon_Ha8 zenon_H1b0 zenon_H183 zenon_H13e zenon_H180 zenon_H1de zenon_Ha2 zenon_H295 zenon_H104 zenon_Hda zenon_H99 zenon_H236 zenon_H10c zenon_H53 zenon_Hc0 zenon_H172 zenon_H33 zenon_H2b zenon_He8 zenon_H1da zenon_H1ce zenon_H70. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.44/11.66 apply (zenon_L182_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.44/11.66 apply (zenon_L341_); trivial. % 11.44/11.66 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.44/11.66 apply (zenon_L774_); trivial. % 11.44/11.66 apply (zenon_L384_); trivial. % 11.44/11.67 (* end of lemma zenon_L777_ *) % 11.44/11.67 assert (zenon_L778_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (op (e0) (e3))) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.44/11.67 do 0 intro. intros zenon_H19b zenon_H125 zenon_H20a zenon_H9d zenon_H5f zenon_H1e1 zenon_Ha8 zenon_H1b0 zenon_H183 zenon_H180 zenon_H1de zenon_Ha2 zenon_H295 zenon_H104 zenon_H99 zenon_H236 zenon_H10c zenon_H53 zenon_Hc0 zenon_H172 zenon_H33 zenon_H2b zenon_He8 zenon_H1da zenon_H1ce zenon_H82 zenon_H252 zenon_H21 zenon_H1a6 zenon_H3f zenon_Ha1 zenon_H1a0 zenon_H4f zenon_H195 zenon_H157 zenon_H1b7 zenon_Ha5 zenon_H1a3 zenon_H1c8 zenon_H27c zenon_Hab zenon_Hae zenon_H288 zenon_H26d zenon_H273 zenon_Hd8 zenon_H1f3 zenon_H24e zenon_H146 zenon_H11f zenon_H68 zenon_H70 zenon_Hfe zenon_H1bf zenon_H246 zenon_H167. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.44/11.67 apply (zenon_L451_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.44/11.67 apply (zenon_L767_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.44/11.67 apply (zenon_L50_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.44/11.67 apply (zenon_L776_); trivial. % 11.44/11.67 apply (zenon_L740_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.44/11.67 apply (zenon_L114_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.44/11.67 apply (zenon_L776_); trivial. % 11.44/11.67 apply (zenon_L109_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.44/11.67 apply (zenon_L767_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.44/11.67 apply (zenon_L435_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.44/11.67 apply (zenon_L777_); trivial. % 11.44/11.67 apply (zenon_L740_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.44/11.67 apply (zenon_L95_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.44/11.67 apply (zenon_L777_); trivial. % 11.44/11.67 apply (zenon_L109_); trivial. % 11.44/11.67 apply (zenon_L739_); trivial. % 11.44/11.67 (* end of lemma zenon_L778_ *) % 11.44/11.67 assert (zenon_L779_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (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) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e1)) = (e2)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((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 (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (op (e0) (e3))) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (op (e0) (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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (op (e3) (e1))) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((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) (op (e0) (e0))) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (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) (op (e3) (e3))) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H23b zenon_H156 zenon_H114 zenon_H58 zenon_H95 zenon_H192 zenon_H10d zenon_H7e zenon_H12c zenon_H24a zenon_H39 zenon_H16c zenon_H6f zenon_Hc4 zenon_H167 zenon_H246 zenon_H1bf zenon_Hfe zenon_H70 zenon_H68 zenon_H11f zenon_H146 zenon_H24e zenon_H1f3 zenon_Hd8 zenon_H273 zenon_H26d zenon_H288 zenon_Hae zenon_Hab zenon_H27c zenon_H1c8 zenon_H1a3 zenon_Ha5 zenon_H1b7 zenon_H157 zenon_H4f zenon_H1a0 zenon_Ha1 zenon_H3f zenon_H1a6 zenon_H21 zenon_H252 zenon_H82 zenon_H1ce zenon_H1da zenon_He8 zenon_H2b zenon_H33 zenon_H172 zenon_H53 zenon_H10c zenon_H236 zenon_H99 zenon_H1b0 zenon_Ha8 zenon_H1e1 zenon_H5f zenon_H9d zenon_H20a zenon_H125 zenon_H19b zenon_H195 zenon_H183 zenon_H13e zenon_H180 zenon_H1de zenon_Ha2 zenon_H295 zenon_H104. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.44/11.67 apply (zenon_L772_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.44/11.67 apply (zenon_L778_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.44/11.67 exact (zenon_H195 zenon_H112). % 11.44/11.67 apply (zenon_L746_); trivial. % 11.44/11.67 (* end of lemma zenon_L779_ *) % 11.44/11.67 assert (zenon_L780_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.44/11.67 do 0 intro. intros zenon_H232 zenon_H82 zenon_H38 zenon_H8c zenon_Hfe zenon_H167 zenon_H131 zenon_H127. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H129 | zenon_intro zenon_H233 ]. % 11.44/11.67 apply (zenon_L338_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H234 ]. % 11.44/11.67 apply (zenon_L84_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H12b | zenon_intro zenon_H132 ]. % 11.44/11.67 apply (zenon_L138_); trivial. % 11.44/11.67 apply (zenon_L91_); trivial. % 11.44/11.67 (* end of lemma zenon_L780_ *) % 11.44/11.67 assert (zenon_L781_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((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) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H236 zenon_H167 zenon_H246 zenon_H1bf zenon_H1aa zenon_H5f zenon_Hfe zenon_H11f zenon_Ha3 zenon_H9d zenon_H65 zenon_H10d zenon_H58 zenon_H59 zenon_H8d zenon_H109 zenon_H114 zenon_H1b0. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H237 ]. % 11.44/11.67 apply (zenon_L625_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_He2 | zenon_intro zenon_H238 ]. % 11.44/11.67 apply (zenon_L314_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H127 | zenon_intro zenon_H132 ]. % 11.44/11.67 apply (zenon_L180_); trivial. % 11.44/11.67 apply (zenon_L187_); trivial. % 11.44/11.67 (* end of lemma zenon_L781_ *) % 11.44/11.67 assert (zenon_L782_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((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) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H24a zenon_Ha8 zenon_H129 zenon_H3f zenon_H68 zenon_H236 zenon_H167 zenon_H246 zenon_H1bf zenon_H1aa zenon_H5f zenon_Hfe zenon_H11f zenon_H9d zenon_H65 zenon_H10d zenon_H58 zenon_H59 zenon_H8d zenon_H109 zenon_H114 zenon_H1b0. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.44/11.67 apply (zenon_L88_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.44/11.67 apply (zenon_L53_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.44/11.67 apply (zenon_L121_); trivial. % 11.44/11.67 apply (zenon_L781_); trivial. % 11.44/11.67 (* end of lemma zenon_L782_ *) % 11.44/11.67 assert (zenon_L783_ : (((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)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H157 zenon_H125 zenon_Ha9 zenon_H82 zenon_H13b zenon_H195 zenon_H167 zenon_Hfe. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.44/11.67 apply (zenon_L355_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.44/11.67 apply (zenon_L95_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.44/11.67 exact (zenon_H195 zenon_H112). % 11.44/11.67 apply (zenon_L138_); trivial. % 11.44/11.67 (* end of lemma zenon_L783_ *) % 11.44/11.67 assert (zenon_L784_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (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 (e3) (e3)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H236 zenon_Hfe zenon_H167 zenon_H195 zenon_H13b zenon_H125 zenon_H157 zenon_Ha3 zenon_H1ac zenon_H82 zenon_H1b0. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H237 ]. % 11.44/11.67 apply (zenon_L783_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_He2 | zenon_intro zenon_H238 ]. % 11.44/11.67 apply (zenon_L314_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H127 | zenon_intro zenon_H132 ]. % 11.44/11.67 apply (zenon_L410_); trivial. % 11.44/11.67 apply (zenon_L187_); trivial. % 11.44/11.67 (* end of lemma zenon_L784_ *) % 11.44/11.67 assert (zenon_L785_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (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 (e3) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H24a zenon_Ha8 zenon_H129 zenon_H8d zenon_H3f zenon_H68 zenon_H236 zenon_Hfe zenon_H167 zenon_H195 zenon_H13b zenon_H125 zenon_H157 zenon_H1ac zenon_H82 zenon_H1b0. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.44/11.67 apply (zenon_L88_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.44/11.67 apply (zenon_L53_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.44/11.67 apply (zenon_L121_); trivial. % 11.44/11.67 apply (zenon_L784_); trivial. % 11.44/11.67 (* end of lemma zenon_L785_ *) % 11.44/11.67 assert (zenon_L786_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H236 zenon_Ha3 zenon_H1d4 zenon_Hcc zenon_Hed zenon_H3e zenon_H172 zenon_H1cc zenon_H16a zenon_H1d7 zenon_H1b0. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H237 ]. % 11.44/11.67 apply (zenon_L158_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_He2 | zenon_intro zenon_H238 ]. % 11.44/11.67 apply (zenon_L314_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H127 | zenon_intro zenon_H132 ]. % 11.44/11.67 apply (zenon_L582_); trivial. % 11.44/11.67 apply (zenon_L187_); trivial. % 11.44/11.67 (* end of lemma zenon_L786_ *) % 11.44/11.67 assert (zenon_L787_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H24e zenon_Hfe zenon_Hfd zenon_H14f zenon_H273 zenon_H167 zenon_H1bf. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.44/11.67 apply (zenon_L75_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.44/11.67 apply (zenon_L101_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.44/11.67 apply (zenon_L368_); trivial. % 11.44/11.67 apply (zenon_L164_); trivial. % 11.44/11.67 (* end of lemma zenon_L787_ *) % 11.44/11.67 assert (zenon_L788_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H24e zenon_H54 zenon_H68 zenon_H14f zenon_H273 zenon_H167 zenon_H1bf. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.44/11.67 apply (zenon_L71_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.44/11.67 apply (zenon_L101_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.44/11.67 apply (zenon_L368_); trivial. % 11.44/11.67 apply (zenon_L164_); trivial. % 11.44/11.67 (* end of lemma zenon_L788_ *) % 11.44/11.67 assert (zenon_L789_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H24e zenon_H1f3 zenon_Hd8 zenon_H55 zenon_H68 zenon_H273 zenon_H167 zenon_H1bf. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.44/11.67 apply (zenon_L278_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.44/11.67 apply (zenon_L245_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.44/11.67 apply (zenon_L368_); trivial. % 11.44/11.67 apply (zenon_L164_); trivial. % 11.44/11.67 (* end of lemma zenon_L789_ *) % 11.44/11.67 assert (zenon_L790_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e0)) -> False). % 11.44/11.67 do 0 intro. intros zenon_H23b zenon_H1bf zenon_H167 zenon_H273 zenon_H14f zenon_Hfe zenon_H24e zenon_Ha8 zenon_H55 zenon_H195 zenon_H82 zenon_H1ac. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.44/11.67 apply (zenon_L787_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.44/11.67 apply (zenon_L341_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.44/11.67 exact (zenon_H195 zenon_H112). % 11.44/11.67 apply (zenon_L410_); trivial. % 11.44/11.67 (* end of lemma zenon_L790_ *) % 11.44/11.67 assert (zenon_L791_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H24e zenon_H35 zenon_H5f zenon_H55 zenon_H68 zenon_H273 zenon_H167 zenon_H1bf. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.44/11.67 apply (zenon_L229_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.44/11.67 apply (zenon_L245_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.44/11.67 apply (zenon_L368_); trivial. % 11.44/11.67 apply (zenon_L164_); trivial. % 11.44/11.67 (* end of lemma zenon_L791_ *) % 11.44/11.67 assert (zenon_L792_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((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))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H1c8 zenon_Ha8 zenon_H96 zenon_H195 zenon_Hae zenon_H5b zenon_H157 zenon_H1bf zenon_H167 zenon_H273 zenon_H14f zenon_Hfe zenon_H24e zenon_H38 zenon_H82. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.67 apply (zenon_L195_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.67 apply (zenon_L762_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.67 apply (zenon_L787_); trivial. % 11.44/11.67 apply (zenon_L338_); trivial. % 11.44/11.67 (* end of lemma zenon_L792_ *) % 11.44/11.67 assert (zenon_L793_ : (((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 (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H2a8 zenon_H5b zenon_H22e zenon_H54 zenon_H180 zenon_H273 zenon_H167 zenon_H195. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H13e | zenon_intro zenon_H2a9 ]. % 11.44/11.67 apply (zenon_L397_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H179 | zenon_intro zenon_H2aa ]. % 11.44/11.67 apply (zenon_L124_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H112 ]. % 11.44/11.67 apply (zenon_L368_); trivial. % 11.44/11.67 exact (zenon_H195 zenon_H112). % 11.44/11.67 (* end of lemma zenon_L793_ *) % 11.44/11.67 assert (zenon_L794_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H1c8 zenon_H96 zenon_H8c zenon_H55 zenon_Ha8 zenon_H87 zenon_H120 zenon_H109 zenon_Hf8 zenon_Hce zenon_Hc4 zenon_Hfe zenon_Hf0 zenon_H38 zenon_H82. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.67 apply (zenon_L195_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.67 apply (zenon_L342_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.67 apply (zenon_L75_); trivial. % 11.44/11.67 apply (zenon_L338_); trivial. % 11.44/11.67 (* end of lemma zenon_L794_ *) % 11.44/11.67 assert (zenon_L795_ : (((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) (op (e3) (e2))) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (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 (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.67 do 0 intro. intros zenon_H1da zenon_H1f zenon_H95 zenon_H1bf zenon_H167 zenon_H246 zenon_H5f zenon_H172 zenon_H5e zenon_Hfe zenon_H11f zenon_H1b0 zenon_Ha9. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.44/11.67 apply (zenon_L593_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.44/11.67 apply (zenon_L625_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.44/11.67 apply (zenon_L241_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.44/11.67 apply (zenon_L289_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.44/11.67 apply (zenon_L303_); trivial. % 11.44/11.67 apply (zenon_L294_); trivial. % 11.44/11.67 apply (zenon_L158_); trivial. % 11.44/11.67 (* end of lemma zenon_L795_ *) % 11.44/11.67 assert (zenon_L796_ : (((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) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H23b zenon_Hfe zenon_Hf0 zenon_Ha8 zenon_H55 zenon_H195 zenon_Ha9 zenon_H1ce. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.44/11.67 apply (zenon_L75_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.44/11.67 apply (zenon_L341_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.44/11.67 exact (zenon_H195 zenon_H112). % 11.44/11.67 apply (zenon_L174_); trivial. % 11.44/11.67 (* end of lemma zenon_L796_ *) % 11.44/11.67 assert (zenon_L797_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (op (e3) (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)) = (op (e3) (e0)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.67 do 0 intro. intros zenon_Hab zenon_H1a3 zenon_H1a0 zenon_H1f3 zenon_H68 zenon_H186 zenon_Hfe zenon_H129 zenon_He5 zenon_He4 zenon_H3e zenon_H87 zenon_H1ce zenon_H195 zenon_H23b zenon_H16c zenon_H82 zenon_H3f zenon_H5f zenon_H167 zenon_H1b0 zenon_H1da zenon_H1f zenon_H95 zenon_H1bf zenon_H246 zenon_H172 zenon_H11f zenon_H157 zenon_H1a6 zenon_Ha8 zenon_Ha9. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.44/11.67 apply (zenon_L350_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.67 apply (zenon_L533_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.67 apply (zenon_L242_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.67 apply (zenon_L278_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.67 apply (zenon_L113_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.67 apply (zenon_L146_); trivial. % 11.44/11.67 apply (zenon_L241_); trivial. % 11.44/11.67 apply (zenon_L148_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.67 apply (zenon_L737_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.67 apply (zenon_L795_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.44/11.67 apply (zenon_L65_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.44/11.67 apply (zenon_L263_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.44/11.67 apply (zenon_L796_); trivial. % 11.44/11.67 apply (zenon_L613_); trivial. % 11.44/11.67 apply (zenon_L233_); trivial. % 11.44/11.67 apply (zenon_L38_); trivial. % 11.44/11.67 (* end of lemma zenon_L797_ *) % 11.44/11.67 assert (zenon_L798_ : (((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)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H23b zenon_Hfe zenon_Hf0 zenon_Hf8 zenon_H96 zenon_H195 zenon_Ha9 zenon_H1ce. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.44/11.67 apply (zenon_L75_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.44/11.67 apply (zenon_L225_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.44/11.67 exact (zenon_H195 zenon_H112). % 11.44/11.67 apply (zenon_L174_); trivial. % 11.44/11.67 (* end of lemma zenon_L798_ *) % 11.44/11.67 assert (zenon_L799_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.67 do 0 intro. intros zenon_H1a0 zenon_H1f3 zenon_H1ce zenon_H195 zenon_H96 zenon_Hf0 zenon_H23b zenon_H167 zenon_H186 zenon_Hfe zenon_Ha9. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.67 apply (zenon_L278_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.67 apply (zenon_L798_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.67 apply (zenon_L146_); trivial. % 11.44/11.67 apply (zenon_L241_); trivial. % 11.44/11.67 (* end of lemma zenon_L799_ *) % 11.44/11.67 assert (zenon_L800_ : (((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 (e1) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H1d7 zenon_H33 zenon_H172 zenon_H20a zenon_H44 zenon_H69 zenon_H99 zenon_Ha9 zenon_Hcc. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1d8 ]. % 11.44/11.67 apply (zenon_L155_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H9a | zenon_intro zenon_H1d9 ]. % 11.44/11.67 apply (zenon_L214_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H6f | zenon_intro zenon_He2 ]. % 11.44/11.67 apply (zenon_L255_); trivial. % 11.44/11.67 apply (zenon_L375_); trivial. % 11.44/11.67 (* end of lemma zenon_L800_ *) % 11.44/11.67 assert (zenon_L801_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e0) = (e1))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.67 do 0 intro. intros zenon_Hab zenon_H1f3 zenon_H3f zenon_Hfe zenon_H129 zenon_H68 zenon_H54 zenon_H1a0 zenon_H4f zenon_H5f zenon_H2b zenon_H157 zenon_H195 zenon_H167 zenon_H1a6 zenon_Ha8 zenon_Ha9. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.44/11.67 apply (zenon_L254_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.44/11.67 apply (zenon_L44_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.67 apply (zenon_L737_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.67 apply (zenon_L633_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.67 apply (zenon_L71_); trivial. % 11.44/11.67 apply (zenon_L233_); trivial. % 11.44/11.67 apply (zenon_L38_); trivial. % 11.44/11.67 (* end of lemma zenon_L801_ *) % 11.44/11.67 assert (zenon_L802_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e0)) -> False). % 11.44/11.67 do 0 intro. intros zenon_H23b zenon_H1de zenon_H129 zenon_H53 zenon_H10c zenon_H180 zenon_H179 zenon_H104 zenon_H183 zenon_H195 zenon_H82 zenon_H1ac. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.44/11.67 apply (zenon_L330_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.44/11.67 apply (zenon_L442_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.44/11.67 exact (zenon_H195 zenon_H112). % 11.44/11.67 apply (zenon_L410_); trivial. % 11.44/11.67 (* end of lemma zenon_L802_ *) % 11.44/11.67 assert (zenon_L803_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e2)) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.67 do 0 intro. intros zenon_H1da zenon_He8 zenon_H2b zenon_H5f zenon_H6f zenon_H82 zenon_H195 zenon_H183 zenon_H104 zenon_H179 zenon_H180 zenon_H10c zenon_H53 zenon_H129 zenon_H1de zenon_H23b zenon_H1b0 zenon_Ha9. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.44/11.67 apply (zenon_L67_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.44/11.67 apply (zenon_L292_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.44/11.67 apply (zenon_L802_); trivial. % 11.44/11.67 apply (zenon_L158_); trivial. % 11.44/11.67 (* end of lemma zenon_L803_ *) % 11.44/11.67 assert (zenon_L804_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False). % 11.44/11.67 do 0 intro. intros zenon_H183 zenon_H1ac zenon_H9e zenon_H104 zenon_H10c zenon_H53 zenon_Hc0. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H35 | zenon_intro zenon_H184 ]. % 11.44/11.67 apply (zenon_L308_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H54 | zenon_intro zenon_H185 ]. % 11.44/11.67 apply (zenon_L457_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfd ]. % 11.44/11.67 apply (zenon_L92_); trivial. % 11.44/11.67 apply (zenon_L125_); trivial. % 11.44/11.67 (* end of lemma zenon_L804_ *) % 11.44/11.67 assert (zenon_L805_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e1)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.67 do 0 intro. intros zenon_H1da zenon_H82 zenon_H33 zenon_H172 zenon_Hc0 zenon_H53 zenon_H10c zenon_H104 zenon_H9e zenon_H183 zenon_H1b0 zenon_Ha9. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.44/11.67 apply (zenon_L154_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.44/11.67 apply (zenon_L155_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.44/11.67 apply (zenon_L804_); trivial. % 11.44/11.67 apply (zenon_L158_); trivial. % 11.44/11.67 (* end of lemma zenon_L805_ *) % 11.44/11.67 assert (zenon_L806_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H7e zenon_H10d zenon_Hcc zenon_H99 zenon_H44 zenon_H20a zenon_H1d7 zenon_H1e1 zenon_Ha8 zenon_H1a6 zenon_H157 zenon_H4f zenon_H1a0 zenon_Hfe zenon_H3f zenon_Hab zenon_H1bf zenon_H167 zenon_H273 zenon_H68 zenon_Hd8 zenon_H1f3 zenon_H24e zenon_H180 zenon_H5f zenon_H2b zenon_He8 zenon_H23b zenon_H1de zenon_H129 zenon_Ha9 zenon_H1b0 zenon_H183 zenon_H104 zenon_H10c zenon_H53 zenon_H172 zenon_H33 zenon_H82 zenon_H1da zenon_H195 zenon_H271 zenon_H1ce. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.44/11.67 apply (zenon_L116_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.44/11.67 apply (zenon_L79_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.44/11.67 apply (zenon_L800_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.44/11.67 apply (zenon_L801_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.44/11.67 apply (zenon_L789_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.44/11.67 apply (zenon_L803_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.44/11.67 apply (zenon_L330_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.44/11.67 apply (zenon_L805_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.44/11.67 exact (zenon_H195 zenon_H112). % 11.44/11.67 apply (zenon_L548_); trivial. % 11.44/11.67 (* end of lemma zenon_L806_ *) % 11.44/11.67 assert (zenon_L807_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.67 do 0 intro. intros zenon_H1a0 zenon_H1f3 zenon_H1ce zenon_H195 zenon_H96 zenon_Hf0 zenon_H23b zenon_H5f zenon_H5b zenon_Hfe zenon_Ha9. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.67 apply (zenon_L278_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.67 apply (zenon_L798_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.67 apply (zenon_L70_); trivial. % 11.44/11.67 apply (zenon_L241_); trivial. % 11.44/11.67 (* end of lemma zenon_L807_ *) % 11.44/11.67 assert (zenon_L808_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H24e zenon_Ha9 zenon_Hfe zenon_H5b zenon_H5f zenon_H23b zenon_H96 zenon_H195 zenon_H1ce zenon_H1f3 zenon_H1a0 zenon_H10d zenon_H65 zenon_H273 zenon_H167 zenon_H1bf. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.44/11.67 apply (zenon_L807_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.44/11.67 apply (zenon_L79_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.44/11.67 apply (zenon_L368_); trivial. % 11.44/11.67 apply (zenon_L164_); trivial. % 11.44/11.67 (* end of lemma zenon_L808_ *) % 11.44/11.67 assert (zenon_L809_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e0) = (e2))) -> (~((e2) = (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) (op (e3) (e3))) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.44/11.67 do 0 intro. intros zenon_H1da zenon_H180 zenon_H1f8 zenon_H88 zenon_H125 zenon_H146 zenon_H167 zenon_H246 zenon_H1bf zenon_H5f zenon_Hfe zenon_H11f zenon_H35 zenon_H104 zenon_H1b0 zenon_Ha9. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.44/11.67 apply (zenon_L212_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.44/11.67 apply (zenon_L625_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.44/11.67 apply (zenon_L308_); trivial. % 11.44/11.67 apply (zenon_L158_); trivial. % 11.44/11.67 (* end of lemma zenon_L809_ *) % 11.44/11.67 assert (zenon_L810_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (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) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.44/11.67 do 0 intro. intros zenon_H20f zenon_H34 zenon_H1b0 zenon_H104 zenon_H35 zenon_H146 zenon_H1f8 zenon_H180 zenon_H1da zenon_H195 zenon_H82 zenon_H125 zenon_H157 zenon_H11f zenon_Ha9 zenon_Hfe zenon_H5f zenon_H1bf zenon_H246 zenon_H167. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.44/11.67 apply (zenon_L8_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.44/11.67 apply (zenon_L809_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.44/11.67 apply (zenon_L783_); trivial. % 11.44/11.67 apply (zenon_L625_); trivial. % 11.44/11.67 (* end of lemma zenon_L810_ *) % 11.44/11.67 assert (zenon_L811_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H23b zenon_H82 zenon_H35 zenon_Ha8 zenon_H55 zenon_H195 zenon_Ha9 zenon_H1ce. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.44/11.67 apply (zenon_L201_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.44/11.67 apply (zenon_L341_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.44/11.67 exact (zenon_H195 zenon_H112). % 11.44/11.67 apply (zenon_L174_); trivial. % 11.44/11.67 (* end of lemma zenon_L811_ *) % 11.44/11.67 assert (zenon_L812_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e0)) -> False). % 11.44/11.67 do 0 intro. intros zenon_H24e zenon_H1f3 zenon_Hd8 zenon_H55 zenon_H68 zenon_H273 zenon_H167 zenon_H5f zenon_H1ac. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.44/11.67 apply (zenon_L278_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.44/11.67 apply (zenon_L245_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.44/11.67 apply (zenon_L368_); trivial. % 11.44/11.67 apply (zenon_L303_); trivial. % 11.44/11.67 (* end of lemma zenon_L812_ *) % 11.44/11.67 assert (zenon_L813_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H252 zenon_H1ce zenon_Ha9 zenon_H195 zenon_Ha8 zenon_H82 zenon_H23b zenon_H3f zenon_H5b zenon_H22e zenon_H24e zenon_H1f3 zenon_Hd8 zenon_H55 zenon_H68 zenon_H273 zenon_H167 zenon_H5f. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.44/11.67 apply (zenon_L811_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.44/11.67 apply (zenon_L29_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.44/11.67 apply (zenon_L397_); trivial. % 11.44/11.67 apply (zenon_L812_); trivial. % 11.44/11.67 (* end of lemma zenon_L813_ *) % 11.44/11.67 assert (zenon_L814_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.44/11.67 do 0 intro. intros zenon_H20f zenon_H34 zenon_H1b0 zenon_H104 zenon_H35 zenon_H146 zenon_H125 zenon_H1f8 zenon_H180 zenon_H1da zenon_H5b zenon_Hb2 zenon_H11f zenon_Ha9 zenon_Hfe zenon_H5f zenon_H1bf zenon_H246 zenon_H167. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.44/11.67 apply (zenon_L8_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.44/11.67 apply (zenon_L809_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.44/11.67 apply (zenon_L329_); trivial. % 11.44/11.67 apply (zenon_L625_); trivial. % 11.44/11.67 (* end of lemma zenon_L814_ *) % 11.44/11.67 assert (zenon_L815_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False). % 11.44/11.67 do 0 intro. intros zenon_H183 zenon_H167 zenon_H246 zenon_H1bf zenon_H5f zenon_Hfe zenon_Ha9 zenon_H11f zenon_Hb2 zenon_H5b zenon_H1da zenon_H180 zenon_H1f8 zenon_H125 zenon_H146 zenon_H1b0 zenon_H34 zenon_H20f zenon_H9e zenon_H104 zenon_H1f3 zenon_Hd8 zenon_H53 zenon_Hc0. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H35 | zenon_intro zenon_H184 ]. % 11.44/11.67 apply (zenon_L814_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H54 | zenon_intro zenon_H185 ]. % 11.44/11.67 apply (zenon_L457_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfd ]. % 11.44/11.67 apply (zenon_L278_); trivial. % 11.44/11.67 apply (zenon_L125_); trivial. % 11.44/11.67 (* end of lemma zenon_L815_ *) % 11.44/11.67 assert (zenon_L816_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e1)) -> False). % 11.44/11.67 do 0 intro. intros zenon_H23b zenon_H1de zenon_H129 zenon_H53 zenon_Hd8 zenon_H1f3 zenon_H104 zenon_H20f zenon_H34 zenon_H1b0 zenon_H146 zenon_H125 zenon_H1f8 zenon_H180 zenon_H1da zenon_H5b zenon_Hb2 zenon_H11f zenon_Ha9 zenon_Hfe zenon_H5f zenon_H1bf zenon_H246 zenon_H167 zenon_H183 zenon_H195 zenon_Ha8 zenon_H9e. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.44/11.67 apply (zenon_L330_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.44/11.67 apply (zenon_L815_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.44/11.67 exact (zenon_H195 zenon_H112). % 11.44/11.67 apply (zenon_L170_); trivial. % 11.44/11.67 (* end of lemma zenon_L816_ *) % 11.44/11.67 assert (zenon_L817_ : (((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) (e2)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H1e1 zenon_H2a8 zenon_H273 zenon_H68 zenon_H24e zenon_H22e zenon_H3f zenon_H1ce zenon_H252 zenon_H1ac zenon_H82 zenon_H10c zenon_H23b zenon_H1de zenon_H129 zenon_H53 zenon_Hd8 zenon_H1f3 zenon_H104 zenon_H20f zenon_H34 zenon_H1b0 zenon_H146 zenon_H125 zenon_H1f8 zenon_H180 zenon_H1da zenon_H5b zenon_Hb2 zenon_H11f zenon_Ha9 zenon_Hfe zenon_H5f zenon_H1bf zenon_H246 zenon_H167 zenon_H183 zenon_H195 zenon_Ha8. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.44/11.67 apply (zenon_L793_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.44/11.67 apply (zenon_L813_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.44/11.67 apply (zenon_L802_); trivial. % 11.44/11.67 apply (zenon_L816_); trivial. % 11.44/11.67 (* end of lemma zenon_L817_ *) % 11.44/11.67 assert (zenon_L818_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H24e zenon_H1f3 zenon_Hd8 zenon_H1ac zenon_H82 zenon_H195 zenon_H183 zenon_H104 zenon_H179 zenon_H180 zenon_H53 zenon_H129 zenon_H1de zenon_H23b zenon_H273 zenon_H167 zenon_H1bf. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.44/11.67 apply (zenon_L278_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.44/11.67 apply (zenon_L802_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.44/11.67 apply (zenon_L368_); trivial. % 11.44/11.67 apply (zenon_L164_); trivial. % 11.44/11.67 (* end of lemma zenon_L818_ *) % 11.44/11.67 assert (zenon_L819_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H1e1 zenon_H22e zenon_H2a8 zenon_H68 zenon_H273 zenon_H82 zenon_H1ac zenon_H24e zenon_H23b zenon_H1de zenon_H129 zenon_H53 zenon_Hd8 zenon_H1f3 zenon_H104 zenon_H20f zenon_H34 zenon_H1b0 zenon_H146 zenon_H125 zenon_H1f8 zenon_H180 zenon_H1da zenon_H5b zenon_Hb2 zenon_H11f zenon_Ha9 zenon_Hfe zenon_H5f zenon_H1bf zenon_H246 zenon_H167 zenon_H183 zenon_H195 zenon_Ha8. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.44/11.67 apply (zenon_L793_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.44/11.67 apply (zenon_L812_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.44/11.67 apply (zenon_L818_); trivial. % 11.44/11.67 apply (zenon_L816_); trivial. % 11.44/11.67 (* end of lemma zenon_L819_ *) % 11.44/11.67 assert (zenon_L820_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> False). % 11.44/11.67 do 0 intro. intros zenon_Hc7 zenon_H12c zenon_H157 zenon_H3f zenon_H1ce zenon_H96 zenon_H1a0 zenon_H156 zenon_H10d zenon_H252 zenon_H109 zenon_H1e1 zenon_H22e zenon_H2a8 zenon_H68 zenon_H273 zenon_H82 zenon_H24e zenon_H23b zenon_H1de zenon_H129 zenon_H53 zenon_Hd8 zenon_H1f3 zenon_H104 zenon_H20f zenon_H34 zenon_H1b0 zenon_H146 zenon_H125 zenon_H1f8 zenon_H180 zenon_H1da zenon_H5b zenon_Hb2 zenon_H11f zenon_Ha9 zenon_Hfe zenon_H5f zenon_H1bf zenon_H246 zenon_H167 zenon_H183 zenon_H195 zenon_Ha8. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.67 apply (zenon_L196_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.67 apply (zenon_L808_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.44/11.67 apply (zenon_L810_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.44/11.67 apply (zenon_L208_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.44/11.67 apply (zenon_L397_); trivial. % 11.44/11.67 apply (zenon_L817_); trivial. % 11.44/11.67 apply (zenon_L143_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.44/11.67 apply (zenon_L814_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.44/11.67 apply (zenon_L213_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.44/11.67 apply (zenon_L397_); trivial. % 11.44/11.67 apply (zenon_L819_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.67 apply (zenon_L435_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.44/11.67 apply (zenon_L814_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.44/11.67 apply (zenon_L78_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.44/11.67 apply (zenon_L397_); trivial. % 11.44/11.67 apply (zenon_L819_); trivial. % 11.44/11.67 (* end of lemma zenon_L820_ *) % 11.44/11.67 assert (zenon_L821_ : (((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)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (op (e3) (e2))) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (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 (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H26d zenon_H1a3 zenon_H1a0 zenon_H1f3 zenon_H1ce zenon_H23b zenon_H5f zenon_Hfe zenon_Ha9 zenon_Hc7 zenon_H12c zenon_H157 zenon_H156 zenon_H10d zenon_H252 zenon_H109 zenon_H1e1 zenon_H68 zenon_H82 zenon_H24e zenon_H1de zenon_H53 zenon_H104 zenon_H20f zenon_H34 zenon_H1b0 zenon_H146 zenon_H125 zenon_H1f8 zenon_H1da zenon_Hb2 zenon_H11f zenon_H1bf zenon_H246 zenon_H183 zenon_H1a6 zenon_H3f zenon_H33 zenon_H195 zenon_H167 zenon_H273 zenon_H180 zenon_H22e zenon_H5b zenon_H2a8 zenon_H129 zenon_Ha8. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.67 apply (zenon_L820_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.67 apply (zenon_L18_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.67 apply (zenon_L807_); trivial. % 11.44/11.67 apply (zenon_L148_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.44/11.67 apply (zenon_L10_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.44/11.67 apply (zenon_L793_); trivial. % 11.44/11.67 apply (zenon_L88_); trivial. % 11.44/11.67 (* end of lemma zenon_L821_ *) % 11.44/11.67 assert (zenon_L822_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H156 zenon_He8 zenon_Hed zenon_H5e zenon_H87 zenon_H8a zenon_H5f zenon_H167 zenon_H12c. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.44/11.67 apply (zenon_L311_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.44/11.67 apply (zenon_L202_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.44/11.67 apply (zenon_L208_); trivial. % 11.44/11.67 apply (zenon_L143_); trivial. % 11.44/11.67 (* end of lemma zenon_L822_ *) % 11.44/11.67 assert (zenon_L823_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.44/11.67 do 0 intro. intros zenon_Hc7 zenon_H3f zenon_H59 zenon_Hfd zenon_H12c zenon_H167 zenon_H5f zenon_H87 zenon_H5e zenon_Hed zenon_He8 zenon_H156 zenon_Hc2 zenon_H82. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.67 apply (zenon_L44_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.67 apply (zenon_L345_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.67 apply (zenon_L822_); trivial. % 11.44/11.67 apply (zenon_L256_); trivial. % 11.44/11.67 (* end of lemma zenon_L823_ *) % 11.44/11.67 assert (zenon_L824_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((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 (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (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) (e3)) = (e2)) -> False). % 11.44/11.67 do 0 intro. intros zenon_H1a6 zenon_H156 zenon_H114 zenon_H2b zenon_H58 zenon_H9d zenon_H53 zenon_H95 zenon_Ha5 zenon_H192 zenon_H10d zenon_H4f zenon_H7e zenon_H12c zenon_H5f zenon_H33 zenon_He2 zenon_H1b0 zenon_H68 zenon_Hc2 zenon_Ha8 zenon_H24a zenon_Hfe zenon_H172 zenon_H96 zenon_H1c8 zenon_H1a3 zenon_H167. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.67 apply (zenon_L195_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.67 apply (zenon_L309_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.67 apply (zenon_L750_); trivial. % 11.44/11.67 apply (zenon_L751_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.67 apply (zenon_L18_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.67 apply (zenon_L752_); trivial. % 11.44/11.67 apply (zenon_L148_); trivial. % 11.44/11.67 (* end of lemma zenon_L824_ *) % 11.44/11.67 assert (zenon_L825_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H176 zenon_H35 zenon_H34 zenon_Ha2 zenon_H39 zenon_H1ce zenon_H103 zenon_H186 zenon_H167 zenon_H2b zenon_H5f zenon_H4f zenon_H1a0 zenon_He2 zenon_H172. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33 | zenon_intro zenon_H177 ]. % 11.44/11.67 apply (zenon_L8_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H3e | zenon_intro zenon_H178 ]. % 11.44/11.67 apply (zenon_L72_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H5e | zenon_intro zenon_Hd3 ]. % 11.44/11.67 apply (zenon_L272_); trivial. % 11.44/11.67 apply (zenon_L309_); trivial. % 11.44/11.67 (* end of lemma zenon_L825_ *) % 11.44/11.67 assert (zenon_L826_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (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 (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (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 (e1) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.44/11.67 do 0 intro. intros zenon_H29f zenon_H1f3 zenon_H246 zenon_H176 zenon_H34 zenon_H39 zenon_H1ce zenon_H186 zenon_H4f zenon_H1a0 zenon_H172 zenon_H68 zenon_H11f zenon_Ha8 zenon_H3f zenon_H1c8 zenon_Hab zenon_H24a zenon_H1b0 zenon_H26d zenon_Hfe zenon_H195 zenon_He2 zenon_H99 zenon_H157 zenon_Hc7 zenon_He8 zenon_H5f zenon_H167 zenon_H180 zenon_H1f8 zenon_H125 zenon_H146 zenon_H35 zenon_H53 zenon_Hc2 zenon_H82. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.44/11.67 apply (zenon_L192_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.67 apply (zenon_L195_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.67 apply (zenon_L309_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.67 apply (zenon_L201_); trivial. % 11.44/11.67 apply (zenon_L751_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.44/11.67 apply (zenon_L315_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.44/11.67 apply (zenon_L235_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.44/11.67 apply (zenon_L320_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.44/11.67 apply (zenon_L44_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.44/11.67 apply (zenon_L743_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.44/11.67 apply (zenon_L163_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.44/11.67 apply (zenon_L367_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.44/11.67 apply (zenon_L825_); trivial. % 11.44/11.67 apply (zenon_L294_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.44/11.67 apply (zenon_L765_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.44/11.67 apply (zenon_L67_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.44/11.67 apply (zenon_L212_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.44/11.67 apply (zenon_L193_); trivial. % 11.44/11.67 apply (zenon_L256_); trivial. % 11.44/11.67 (* end of lemma zenon_L826_ *) % 11.44/11.67 assert (zenon_L827_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (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 (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (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) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (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 (e3) (op (e3) (e2))) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e3) (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 (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((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)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (op (e3) (e3))) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.44/11.67 do 0 intro. intros zenon_H2ab zenon_H87 zenon_H262 zenon_Hcc zenon_H169 zenon_H16c zenon_H1a3 zenon_H12c zenon_H7e zenon_H10d zenon_H192 zenon_Ha5 zenon_H95 zenon_H9d zenon_H58 zenon_H114 zenon_H156 zenon_H1a6 zenon_H1bf zenon_H82 zenon_H53 zenon_H146 zenon_H125 zenon_H1f8 zenon_H180 zenon_H5f zenon_He8 zenon_Hc7 zenon_H157 zenon_H99 zenon_H195 zenon_Hfe zenon_H26d zenon_Hab zenon_H1c8 zenon_H11f zenon_H172 zenon_H1a0 zenon_H4f zenon_H186 zenon_H1ce zenon_H39 zenon_H34 zenon_H176 zenon_H246 zenon_H1f3 zenon_H29f zenon_H24a zenon_H3f zenon_Ha8 zenon_Hc2 zenon_H167 zenon_H68 zenon_H1b0 zenon_He2. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.44/11.67 apply (zenon_L350_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.44/11.67 apply (zenon_L315_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.44/11.67 apply (zenon_L350_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.67 apply (zenon_L533_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.67 apply (zenon_L116_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.67 apply (zenon_L113_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.67 apply (zenon_L146_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.67 apply (zenon_L351_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.67 apply (zenon_L309_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.67 apply (zenon_L823_); trivial. % 11.44/11.67 apply (zenon_L751_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.67 apply (zenon_L71_); trivial. % 11.44/11.67 apply (zenon_L148_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.44/11.67 apply (zenon_L743_); trivial. % 11.44/11.67 apply (zenon_L739_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.44/11.67 apply (zenon_L350_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.44/11.67 apply (zenon_L533_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.44/11.67 apply (zenon_L116_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.44/11.67 apply (zenon_L113_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.44/11.67 apply (zenon_L615_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.44/11.67 apply (zenon_L351_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.44/11.67 apply (zenon_L309_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.44/11.67 apply (zenon_L823_); trivial. % 11.44/11.67 apply (zenon_L88_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.44/11.67 apply (zenon_L561_); trivial. % 11.44/11.67 apply (zenon_L152_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.44/11.67 apply (zenon_L743_); trivial. % 11.44/11.67 apply (zenon_L739_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.44/11.67 apply (zenon_L14_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.44/11.67 apply (zenon_L824_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.44/11.67 apply (zenon_L10_); trivial. % 11.44/11.67 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.44/11.67 apply (zenon_L744_); trivial. % 11.44/11.67 apply (zenon_L753_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.68 apply (zenon_L765_); trivial. % 11.53/11.68 apply (zenon_L748_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.68 apply (zenon_L826_); trivial. % 11.53/11.68 apply (zenon_L373_); trivial. % 11.53/11.68 (* end of lemma zenon_L827_ *) % 11.53/11.68 assert (zenon_L828_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.53/11.68 do 0 intro. intros zenon_H1da zenon_He8 zenon_H2b zenon_H33 zenon_H172 zenon_H103 zenon_H5f zenon_H1af. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.68 apply (zenon_L67_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.68 apply (zenon_L155_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.68 apply (zenon_L303_); trivial. % 11.53/11.68 exact (zenon_H1af zenon_H16a). % 11.53/11.68 (* end of lemma zenon_L828_ *) % 11.53/11.68 assert (zenon_L829_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (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) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.53/11.68 do 0 intro. intros zenon_H24e zenon_H1f3 zenon_H10d zenon_H65 zenon_H5c zenon_Hd8 zenon_H1e0 zenon_Hb2 zenon_Hae zenon_H1fc zenon_H1da zenon_He8 zenon_H2b zenon_H33 zenon_H172 zenon_H5f zenon_H1af. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.68 apply (zenon_L278_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.68 apply (zenon_L79_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.68 apply (zenon_L489_); trivial. % 11.53/11.68 apply (zenon_L828_); trivial. % 11.53/11.68 (* end of lemma zenon_L829_ *) % 11.53/11.68 assert (zenon_L830_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((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) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (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 (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.53/11.68 do 0 intro. intros zenon_H276 zenon_H68 zenon_Hcc zenon_Ha9 zenon_H99 zenon_H44 zenon_H20a zenon_H172 zenon_H1d7 zenon_H5c zenon_Hd8 zenon_H1e0 zenon_Hb2 zenon_Hae zenon_H33 zenon_H1fc zenon_H1a3 zenon_H1a4. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.53/11.68 apply (zenon_L68_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.53/11.68 apply (zenon_L800_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.53/11.68 apply (zenon_L489_); trivial. % 11.53/11.68 apply (zenon_L148_); trivial. % 11.53/11.68 (* end of lemma zenon_L830_ *) % 11.53/11.68 assert (zenon_L831_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (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) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.53/11.68 do 0 intro. intros zenon_He5 zenon_H5c zenon_He4 zenon_Hcc zenon_Ha9 zenon_H99 zenon_H69 zenon_H20a zenon_H172 zenon_H33 zenon_H1d7 zenon_H10c zenon_H68 zenon_H117 zenon_Ha2. % 11.53/11.68 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.68 apply (zenon_L65_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.68 apply (zenon_L800_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.68 apply (zenon_L245_); trivial. % 11.53/11.68 apply (zenon_L82_); trivial. % 11.53/11.68 (* end of lemma zenon_L831_ *) % 11.53/11.68 assert (zenon_L832_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (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) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (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 (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (op (e0) (e3))) = (e3))) -> False). % 11.53/11.68 do 0 intro. intros zenon_H11f zenon_Hfe zenon_H1fc zenon_Hae zenon_Hb2 zenon_H1e0 zenon_Hd8 zenon_H276 zenon_H1ac zenon_H5f zenon_H2a4 zenon_H144 zenon_H1a3 zenon_H117 zenon_H68 zenon_H10c zenon_H1d7 zenon_H33 zenon_H172 zenon_H20a zenon_H69 zenon_H99 zenon_Ha9 zenon_Hcc zenon_He4 zenon_H5c zenon_He5 zenon_Ha1 zenon_H288. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.53/11.68 apply (zenon_L241_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.53/11.68 apply (zenon_L490_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.53/11.68 apply (zenon_L303_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H38 | zenon_intro zenon_H2a5 ]. % 11.53/11.68 apply (zenon_L354_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H2a6 ]. % 11.53/11.68 apply (zenon_L831_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H129 ]. % 11.53/11.68 apply (zenon_L261_); trivial. % 11.53/11.68 apply (zenon_L448_); trivial. % 11.53/11.68 (* end of lemma zenon_L832_ *) % 11.53/11.68 assert (zenon_L833_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (op (e0) (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 (e2) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (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) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (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))))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.53/11.68 do 0 intro. intros zenon_H1da zenon_H82 zenon_H288 zenon_Ha1 zenon_He5 zenon_H5c zenon_He4 zenon_Hcc zenon_Ha9 zenon_H99 zenon_H69 zenon_H20a zenon_H172 zenon_H33 zenon_H1d7 zenon_H10c zenon_H68 zenon_H117 zenon_H1a3 zenon_H144 zenon_H2a4 zenon_H5f zenon_H276 zenon_Hd8 zenon_H1e0 zenon_Hb2 zenon_Hae zenon_H1fc zenon_Hfe zenon_H11f zenon_H1af. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.68 apply (zenon_L154_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.68 apply (zenon_L155_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.68 apply (zenon_L832_); trivial. % 11.53/11.68 exact (zenon_H1af zenon_H16a). % 11.53/11.68 (* end of lemma zenon_L833_ *) % 11.53/11.68 assert (zenon_L834_ : ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (op (e0) (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 (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((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))))) -> (~((e1) = (e2))) -> (~((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 (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (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 (e2) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.53/11.68 do 0 intro. intros zenon_H1ac zenon_H1da zenon_H82 zenon_H288 zenon_Ha1 zenon_He5 zenon_He4 zenon_Hcc zenon_Ha9 zenon_H99 zenon_H20a zenon_H172 zenon_H1d7 zenon_H68 zenon_H117 zenon_H1a3 zenon_H2a4 zenon_H276 zenon_Hfe zenon_H11f zenon_H1af zenon_H1f3 zenon_H24e zenon_H5c zenon_Hd8 zenon_H1e0 zenon_Hb2 zenon_Hae zenon_H33 zenon_H1fc zenon_H144 zenon_H5f. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.53/11.68 apply (zenon_L68_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.68 apply (zenon_L278_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.68 apply (zenon_L833_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.68 apply (zenon_L317_); trivial. % 11.53/11.68 apply (zenon_L303_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.53/11.68 apply (zenon_L489_); trivial. % 11.53/11.68 apply (zenon_L109_); trivial. % 11.53/11.68 (* end of lemma zenon_L834_ *) % 11.53/11.68 assert (zenon_L835_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((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) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (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 (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.53/11.68 do 0 intro. intros zenon_H276 zenon_H68 zenon_Hcc zenon_Ha9 zenon_H99 zenon_H44 zenon_H20a zenon_H172 zenon_H1d7 zenon_H5c zenon_Hd8 zenon_H1e0 zenon_Hb2 zenon_Hae zenon_H33 zenon_H1fc zenon_H11a zenon_H12c. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.53/11.68 apply (zenon_L68_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.53/11.68 apply (zenon_L800_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.53/11.68 apply (zenon_L489_); trivial. % 11.53/11.68 apply (zenon_L143_); trivial. % 11.53/11.68 (* end of lemma zenon_L835_ *) % 11.53/11.68 assert (zenon_L836_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.53/11.68 do 0 intro. intros zenon_H24e zenon_H295 zenon_H55 zenon_H68 zenon_H69 zenon_H1e0 zenon_H1da zenon_He8 zenon_H2b zenon_H33 zenon_H172 zenon_H5f zenon_H1af. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.68 apply (zenon_L461_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.68 apply (zenon_L245_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.68 apply (zenon_L317_); trivial. % 11.53/11.68 apply (zenon_L828_); trivial. % 11.53/11.68 (* end of lemma zenon_L836_ *) % 11.53/11.68 assert (zenon_L837_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False). % 11.53/11.68 do 0 intro. intros zenon_H1fc zenon_Hb2 zenon_H5c zenon_H1af zenon_H5f zenon_H172 zenon_H33 zenon_H2b zenon_He8 zenon_H1da zenon_H1e0 zenon_H68 zenon_H55 zenon_H295 zenon_H24e zenon_Hae zenon_Hd3. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H13b | zenon_intro zenon_H1fd ]. % 11.53/11.68 apply (zenon_L114_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H6a | zenon_intro zenon_H1fe ]. % 11.53/11.68 apply (zenon_L41_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H69 | zenon_intro zenon_Hda ]. % 11.53/11.68 apply (zenon_L836_); trivial. % 11.53/11.68 apply (zenon_L199_); trivial. % 11.53/11.68 (* end of lemma zenon_L837_ *) % 11.53/11.68 assert (zenon_L838_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.53/11.68 do 0 intro. intros zenon_H1da zenon_H82 zenon_H33 zenon_H172 zenon_H11a zenon_H119 zenon_H5f zenon_H9a zenon_H68 zenon_Hfe zenon_Ha9 zenon_H11f zenon_H1af. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.68 apply (zenon_L154_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.68 apply (zenon_L155_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.68 apply (zenon_L510_); trivial. % 11.53/11.68 exact (zenon_H1af zenon_H16a). % 11.53/11.68 (* end of lemma zenon_L838_ *) % 11.53/11.68 assert (zenon_L839_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.53/11.68 do 0 intro. intros zenon_H11f zenon_Ha9 zenon_Hfe zenon_H68 zenon_H9a zenon_H1ac zenon_H5f zenon_Ha1 zenon_H1a4. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.53/11.68 apply (zenon_L241_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.53/11.68 apply (zenon_L76_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.53/11.68 apply (zenon_L303_); trivial. % 11.53/11.68 apply (zenon_L261_); trivial. % 11.53/11.68 (* end of lemma zenon_L839_ *) % 11.53/11.68 assert (zenon_L840_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e0)) -> (~((e1) = (e2))) -> (~((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)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.53/11.68 do 0 intro. intros zenon_Ha5 zenon_Ha8 zenon_H1a4 zenon_Ha1 zenon_H5f zenon_H1ac zenon_H68 zenon_Hfe zenon_Ha9 zenon_H11f zenon_H54 zenon_H104 zenon_H119 zenon_Hbe. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.53/11.68 apply (zenon_L38_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.53/11.68 apply (zenon_L839_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.53/11.68 apply (zenon_L457_); trivial. % 11.53/11.68 apply (zenon_L296_); trivial. % 11.53/11.68 (* end of lemma zenon_L840_ *) % 11.53/11.68 assert (zenon_L841_ : (((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) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.53/11.68 do 0 intro. intros zenon_H2ae zenon_H1af zenon_Ha2 zenon_Ha1 zenon_H103 zenon_H131 zenon_H169 zenon_Ha9. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H16a | zenon_intro zenon_H2af ]. % 11.53/11.68 exact (zenon_H1af zenon_H16a). % 11.53/11.68 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H2b0 ]. % 11.53/11.68 apply (zenon_L36_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H11b | zenon_intro zenon_H132 ]. % 11.53/11.68 apply (zenon_L413_); trivial. % 11.53/11.68 apply (zenon_L332_); trivial. % 11.53/11.68 (* end of lemma zenon_L841_ *) % 11.53/11.68 assert (zenon_L842_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (((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)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (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) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.53/11.68 do 0 intro. intros zenon_H24e zenon_Hfe zenon_Hfd zenon_H10d zenon_H65 zenon_H5c zenon_Hd8 zenon_H1e0 zenon_H99 zenon_H9a zenon_H176 zenon_Hae zenon_H172 zenon_H4f zenon_H87 zenon_Hbc zenon_H1fc zenon_H2ae zenon_H1af zenon_Ha2 zenon_Ha1 zenon_H131 zenon_H169 zenon_Ha9. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.68 apply (zenon_L75_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.68 apply (zenon_L79_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.68 apply (zenon_L495_); trivial. % 11.53/11.68 apply (zenon_L841_); trivial. % 11.53/11.68 (* end of lemma zenon_L842_ *) % 11.53/11.68 assert (zenon_L843_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (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 (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> False). % 11.53/11.68 do 0 intro. intros zenon_H1fc zenon_Hae zenon_Hb2 zenon_Ha2 zenon_H117 zenon_H68 zenon_H10c zenon_H1d7 zenon_H33 zenon_H172 zenon_H20a zenon_H99 zenon_Ha9 zenon_Hcc zenon_He4 zenon_He5 zenon_Hd8 zenon_H5c. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H13b | zenon_intro zenon_H1fd ]. % 11.53/11.68 apply (zenon_L114_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H6a | zenon_intro zenon_H1fe ]. % 11.53/11.68 apply (zenon_L41_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H69 | zenon_intro zenon_Hda ]. % 11.53/11.68 apply (zenon_L831_); trivial. % 11.53/11.68 apply (zenon_L62_); trivial. % 11.53/11.68 (* end of lemma zenon_L843_ *) % 11.53/11.68 assert (zenon_L844_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((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))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e2) (e0)) = (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) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.53/11.68 do 0 intro. intros zenon_H114 zenon_H1ac zenon_H9e zenon_H9d zenon_H5c zenon_Hd8 zenon_He5 zenon_He4 zenon_Hcc zenon_Ha9 zenon_H99 zenon_H20a zenon_H172 zenon_H33 zenon_H1d7 zenon_H68 zenon_H117 zenon_Ha2 zenon_Hb2 zenon_Hae zenon_H1fc zenon_H53 zenon_Hfd. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H8a | zenon_intro zenon_H115 ]. % 11.53/11.68 apply (zenon_L156_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H55 | zenon_intro zenon_H116 ]. % 11.53/11.68 apply (zenon_L35_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H10c | zenon_intro zenon_Hc0 ]. % 11.53/11.68 apply (zenon_L843_); trivial. % 11.53/11.68 apply (zenon_L125_); trivial. % 11.53/11.68 (* end of lemma zenon_L844_ *) % 11.53/11.68 assert (zenon_L845_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((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 (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.53/11.68 do 0 intro. intros zenon_Ha5 zenon_Ha8 zenon_H169 zenon_H131 zenon_H1af zenon_H2ae zenon_Hbc zenon_H87 zenon_H4f zenon_H176 zenon_H1e0 zenon_H65 zenon_H10d zenon_Hfe zenon_H24e zenon_Hfd zenon_H53 zenon_H1fc zenon_Hae zenon_Hb2 zenon_H117 zenon_H68 zenon_H1d7 zenon_H33 zenon_H172 zenon_H20a zenon_H99 zenon_Ha9 zenon_Hcc zenon_He4 zenon_He5 zenon_Hd8 zenon_H5c zenon_H9d zenon_H1ac zenon_H114 zenon_Ha1 zenon_Ha2. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.53/11.68 apply (zenon_L38_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.53/11.68 apply (zenon_L842_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.53/11.68 apply (zenon_L844_); trivial. % 11.53/11.68 apply (zenon_L36_); trivial. % 11.53/11.68 (* end of lemma zenon_L845_ *) % 11.53/11.68 assert (zenon_L846_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e0)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.53/11.68 do 0 intro. intros zenon_Ha5 zenon_Ha8 zenon_H11a zenon_H119 zenon_H5f zenon_H1ac zenon_H68 zenon_Hfe zenon_Ha9 zenon_H11f zenon_H55 zenon_H9d zenon_Ha1 zenon_Ha2. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.53/11.68 apply (zenon_L38_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.53/11.68 apply (zenon_L510_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.53/11.68 apply (zenon_L35_); trivial. % 11.53/11.68 apply (zenon_L36_); trivial. % 11.53/11.68 (* end of lemma zenon_L846_ *) % 11.53/11.68 assert (zenon_L847_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.53/11.68 do 0 intro. intros zenon_H1da zenon_He8 zenon_H2b zenon_H6f zenon_Ha2 zenon_Ha1 zenon_H9d zenon_H55 zenon_H11f zenon_Ha9 zenon_Hfe zenon_H68 zenon_H5f zenon_H119 zenon_H11a zenon_Ha8 zenon_Ha5 zenon_H1af. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.68 apply (zenon_L67_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.68 apply (zenon_L292_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.68 apply (zenon_L846_); trivial. % 11.53/11.68 exact (zenon_H1af zenon_H16a). % 11.53/11.68 (* end of lemma zenon_L847_ *) % 11.53/11.68 assert (zenon_L848_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.53/11.68 do 0 intro. intros zenon_H114 zenon_H58 zenon_H1af zenon_Ha5 zenon_Ha8 zenon_H119 zenon_H5f zenon_H68 zenon_Hfe zenon_Ha9 zenon_H11f zenon_H9d zenon_Ha1 zenon_Ha2 zenon_H6f zenon_H2b zenon_He8 zenon_H1da zenon_H11a zenon_H109 zenon_H53 zenon_Hfd. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H8a | zenon_intro zenon_H115 ]. % 11.53/11.68 apply (zenon_L302_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H55 | zenon_intro zenon_H116 ]. % 11.53/11.68 apply (zenon_L847_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H10c | zenon_intro zenon_Hc0 ]. % 11.53/11.68 apply (zenon_L286_); trivial. % 11.53/11.68 apply (zenon_L125_); trivial. % 11.53/11.68 (* end of lemma zenon_L848_ *) % 11.53/11.68 assert (zenon_L849_ : ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> False). % 11.53/11.68 do 0 intro. intros zenon_Hfd zenon_H53 zenon_H109 zenon_H1da zenon_He8 zenon_H2b zenon_Ha2 zenon_Ha1 zenon_H9d zenon_H11f zenon_Ha9 zenon_Hfe zenon_H68 zenon_Ha8 zenon_Ha5 zenon_H1af zenon_H58 zenon_H114 zenon_H1ac zenon_H5f zenon_H119 zenon_H11a. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.53/11.68 apply (zenon_L241_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.53/11.68 apply (zenon_L848_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.53/11.68 apply (zenon_L303_); trivial. % 11.53/11.68 apply (zenon_L83_); trivial. % 11.53/11.68 (* end of lemma zenon_L849_ *) % 11.53/11.68 assert (zenon_L850_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.53/11.68 do 0 intro. intros zenon_Hab zenon_H1f3 zenon_H54 zenon_H55 zenon_H58 zenon_Hb2 zenon_H6a zenon_Ha8 zenon_Ha9. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.68 apply (zenon_L254_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.68 apply (zenon_L16_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.68 apply (zenon_L41_); trivial. % 11.53/11.68 apply (zenon_L38_); trivial. % 11.53/11.68 (* end of lemma zenon_L850_ *) % 11.53/11.68 assert (zenon_L851_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (op (e0) (e3))) = (e3))) -> False). % 11.53/11.68 do 0 intro. intros zenon_H1c8 zenon_H96 zenon_H8c zenon_H55 zenon_Ha8 zenon_H87 zenon_H120 zenon_H109 zenon_Hf8 zenon_Hce zenon_Hc4 zenon_H82 zenon_H35 zenon_H288. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.68 apply (zenon_L195_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.68 apply (zenon_L342_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.68 apply (zenon_L201_); trivial. % 11.53/11.68 apply (zenon_L448_); trivial. % 11.53/11.68 (* end of lemma zenon_L851_ *) % 11.53/11.68 assert (zenon_L852_ : (((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 (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False). % 11.53/11.68 do 0 intro. intros zenon_H283 zenon_H35 zenon_H104 zenon_H55 zenon_H9d zenon_H11b zenon_H131 zenon_H112 zenon_H286. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H1ac | zenon_intro zenon_H284 ]. % 11.53/11.68 apply (zenon_L308_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H9e | zenon_intro zenon_H285 ]. % 11.53/11.68 apply (zenon_L35_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H103 | zenon_intro zenon_H127 ]. % 11.53/11.68 apply (zenon_L413_); trivial. % 11.53/11.68 apply (zenon_L446_); trivial. % 11.53/11.68 (* end of lemma zenon_L852_ *) % 11.53/11.68 assert (zenon_L853_ : (((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) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False). % 11.53/11.68 do 0 intro. intros zenon_Hc4 zenon_He8 zenon_Ha9 zenon_H87 zenon_Hd8 zenon_H4f zenon_H27c zenon_H38 zenon_H39 zenon_H176 zenon_Ha8 zenon_H55 zenon_H8c. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.68 apply (zenon_L227_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.68 apply (zenon_L507_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.68 apply (zenon_L341_); trivial. % 11.53/11.68 apply (zenon_L84_); trivial. % 11.53/11.68 (* end of lemma zenon_L853_ *) % 11.53/11.68 assert (zenon_L854_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.53/11.68 do 0 intro. intros zenon_H2ae zenon_H1af zenon_Hbe zenon_H119 zenon_H103 zenon_H131 zenon_H169 zenon_Ha9. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H16a | zenon_intro zenon_H2af ]. % 11.53/11.68 exact (zenon_H1af zenon_H16a). % 11.53/11.68 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H2b0 ]. % 11.53/11.68 apply (zenon_L296_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H11b | zenon_intro zenon_H132 ]. % 11.53/11.68 apply (zenon_L413_); trivial. % 11.53/11.68 apply (zenon_L332_); trivial. % 11.53/11.68 (* end of lemma zenon_L854_ *) % 11.53/11.68 assert (zenon_L855_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (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) (e2)))) -> False). % 11.53/11.68 do 0 intro. intros zenon_H283 zenon_Hc0 zenon_H53 zenon_H180 zenon_H160 zenon_H179 zenon_H104 zenon_H183 zenon_H9a zenon_H1d4 zenon_H169 zenon_H131 zenon_H119 zenon_Hbe zenon_H1af zenon_H2ae zenon_Ha9 zenon_H1ce. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H1ac | zenon_intro zenon_H284 ]. % 11.53/11.68 apply (zenon_L626_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H9e | zenon_intro zenon_H285 ]. % 11.53/11.68 apply (zenon_L259_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H103 | zenon_intro zenon_H127 ]. % 11.53/11.68 apply (zenon_L854_); trivial. % 11.53/11.68 apply (zenon_L174_); trivial. % 11.53/11.68 (* end of lemma zenon_L855_ *) % 11.53/11.68 assert (zenon_L856_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.53/11.68 do 0 intro. intros zenon_H24e zenon_H35 zenon_H5f zenon_H14f zenon_H1ce zenon_H1d4 zenon_H9a zenon_H183 zenon_H104 zenon_H179 zenon_H180 zenon_H53 zenon_Hc0 zenon_H283 zenon_H2ae zenon_H1af zenon_Hbe zenon_H119 zenon_H131 zenon_H169 zenon_Ha9. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.68 apply (zenon_L229_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.68 apply (zenon_L101_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.68 apply (zenon_L855_); trivial. % 11.53/11.68 apply (zenon_L854_); trivial. % 11.53/11.68 (* end of lemma zenon_L856_ *) % 11.53/11.68 assert (zenon_L857_ : (((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 (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (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))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False). % 11.53/11.68 do 0 intro. intros zenon_H1e1 zenon_H3f zenon_H109 zenon_Ha9 zenon_H169 zenon_H131 zenon_H119 zenon_Hbe zenon_H1af zenon_H2ae zenon_H283 zenon_Hc0 zenon_H53 zenon_H180 zenon_H104 zenon_H183 zenon_H1ce zenon_H14f zenon_H5f zenon_H35 zenon_H24e zenon_H1d4 zenon_H9a. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.53/11.68 apply (zenon_L235_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.53/11.68 apply (zenon_L265_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.53/11.68 apply (zenon_L856_); trivial. % 11.53/11.68 apply (zenon_L259_); trivial. % 11.53/11.68 (* end of lemma zenon_L857_ *) % 11.53/11.68 assert (zenon_L858_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False). % 11.53/11.68 do 0 intro. intros zenon_H24e zenon_H295 zenon_H14f zenon_H1ce zenon_Ha9 zenon_H2ae zenon_H1af zenon_Hbe zenon_H119 zenon_H131 zenon_H169 zenon_H1d4 zenon_H9a zenon_H283 zenon_H183 zenon_H13e zenon_H179 zenon_H180 zenon_H104 zenon_H53 zenon_Hc0. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.68 apply (zenon_L461_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.68 apply (zenon_L101_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.68 apply (zenon_L855_); trivial. % 11.53/11.68 apply (zenon_L126_); trivial. % 11.53/11.68 (* end of lemma zenon_L858_ *) % 11.53/11.68 assert (zenon_L859_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e0)) -> False). % 11.53/11.68 do 0 intro. intros zenon_H24e zenon_H295 zenon_H14f zenon_Hc0 zenon_H53 zenon_H180 zenon_H179 zenon_H104 zenon_H183 zenon_H5f zenon_H1ac. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.68 apply (zenon_L461_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.68 apply (zenon_L101_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.68 apply (zenon_L626_); trivial. % 11.53/11.68 apply (zenon_L303_); trivial. % 11.53/11.68 (* end of lemma zenon_L859_ *) % 11.53/11.68 assert (zenon_L860_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False). % 11.53/11.68 do 0 intro. intros zenon_H1e1 zenon_H1f3 zenon_H96 zenon_Ha8 zenon_H1ac zenon_H5f zenon_H183 zenon_H104 zenon_H180 zenon_H53 zenon_Hc0 zenon_H14f zenon_H295 zenon_H24e zenon_H1d4 zenon_H9a. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.53/11.68 apply (zenon_L254_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.53/11.68 apply (zenon_L341_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.53/11.68 apply (zenon_L859_); trivial. % 11.53/11.68 apply (zenon_L259_); trivial. % 11.53/11.68 (* end of lemma zenon_L860_ *) % 11.53/11.68 assert (zenon_L861_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (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) (e2)))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False). % 11.53/11.68 do 0 intro. intros zenon_Hc4 zenon_He8 zenon_Hd3 zenon_H87 zenon_H9a zenon_H1d4 zenon_H24e zenon_H295 zenon_H14f zenon_H53 zenon_H180 zenon_H104 zenon_H183 zenon_H5f zenon_Ha8 zenon_H96 zenon_H1f3 zenon_H1e1 zenon_H283 zenon_H169 zenon_H131 zenon_H119 zenon_Hbe zenon_H1af zenon_H2ae zenon_Ha9 zenon_H1ce zenon_H82 zenon_H3f zenon_H109 zenon_H252 zenon_H8c. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.68 apply (zenon_L227_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.68 apply (zenon_L117_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.68 apply (zenon_L857_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.68 apply (zenon_L50_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.53/11.68 apply (zenon_L254_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.53/11.68 apply (zenon_L341_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.53/11.68 apply (zenon_L858_); trivial. % 11.53/11.68 apply (zenon_L259_); trivial. % 11.53/11.68 apply (zenon_L860_); trivial. % 11.53/11.68 apply (zenon_L84_); trivial. % 11.53/11.68 (* end of lemma zenon_L861_ *) % 11.53/11.68 assert (zenon_L862_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((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))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.53/11.68 do 0 intro. intros zenon_Hc7 zenon_H5f zenon_Hf8 zenon_H5e zenon_Hfd zenon_H8c zenon_H82 zenon_H46 zenon_Ha9 zenon_He8 zenon_Hc4 zenon_H3f zenon_Hbe. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.68 apply (zenon_L196_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.68 apply (zenon_L345_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.68 apply (zenon_L674_); trivial. % 11.53/11.68 apply (zenon_L53_); trivial. % 11.53/11.68 (* end of lemma zenon_L862_ *) % 11.53/11.68 assert (zenon_L863_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((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 (e1) (op (e1) (e1))) = (e1))) -> (~((e0) = (e3))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.53/11.68 do 0 intro. intros zenon_H1a0 zenon_H4f zenon_Ha8 zenon_Hbe zenon_H252 zenon_H9a zenon_H1d4 zenon_H1ce zenon_H283 zenon_H2ae zenon_H1af zenon_H119 zenon_H131 zenon_H169 zenon_H109 zenon_H1e1 zenon_H27c zenon_H53 zenon_H24e zenon_H295 zenon_H14f zenon_H3f zenon_Hc4 zenon_He8 zenon_H46 zenon_H82 zenon_H8c zenon_H5e zenon_Hc7 zenon_H180 zenon_H104 zenon_H183 zenon_H5f zenon_H5b zenon_Hfe zenon_Ha9. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.68 apply (zenon_L116_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.68 apply (zenon_L227_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.68 apply (zenon_L49_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.68 apply (zenon_L857_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.68 apply (zenon_L50_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H35 | zenon_intro zenon_H184 ]. % 11.53/11.68 apply (zenon_L123_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H54 | zenon_intro zenon_H185 ]. % 11.53/11.68 apply (zenon_L459_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfd ]. % 11.53/11.68 apply (zenon_L461_); trivial. % 11.53/11.68 apply (zenon_L862_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.53/11.68 apply (zenon_L459_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.53/11.68 apply (zenon_L341_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.53/11.68 apply (zenon_L859_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.68 apply (zenon_L461_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.68 apply (zenon_L101_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H35 | zenon_intro zenon_H184 ]. % 11.53/11.68 apply (zenon_L308_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H54 | zenon_intro zenon_H185 ]. % 11.53/11.68 apply (zenon_L457_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfd ]. % 11.53/11.68 apply (zenon_L424_); trivial. % 11.53/11.68 apply (zenon_L862_); trivial. % 11.53/11.68 apply (zenon_L303_); trivial. % 11.53/11.68 apply (zenon_L51_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.68 apply (zenon_L70_); trivial. % 11.53/11.68 apply (zenon_L241_); trivial. % 11.53/11.68 (* end of lemma zenon_L863_ *) % 11.53/11.68 assert (zenon_L864_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (op (e0) (e3))) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((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)) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> False). % 11.53/11.68 do 0 intro. intros zenon_Hab zenon_H1f3 zenon_H288 zenon_H54 zenon_Ha8 zenon_Hc7 zenon_H46 zenon_Hbe zenon_H82 zenon_H87 zenon_Hc4 zenon_H117 zenon_H38 zenon_H21 zenon_H1c8 zenon_H3f zenon_H5b zenon_Hcc zenon_H9a. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.68 apply (zenon_L254_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.68 apply (zenon_L664_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.68 apply (zenon_L17_); trivial. % 11.53/11.68 apply (zenon_L56_); trivial. % 11.53/11.68 (* end of lemma zenon_L864_ *) % 11.53/11.68 assert (zenon_L865_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (op (e0) (e3))) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.53/11.68 do 0 intro. intros zenon_H232 zenon_H288 zenon_Ha8 zenon_Hbe zenon_H149 zenon_H169 zenon_Ha9. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H129 | zenon_intro zenon_H233 ]. % 11.53/11.68 apply (zenon_L448_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H234 ]. % 11.53/11.68 apply (zenon_L51_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H12b | zenon_intro zenon_H132 ]. % 11.53/11.68 apply (zenon_L100_); trivial. % 11.53/11.68 apply (zenon_L332_); trivial. % 11.53/11.68 (* end of lemma zenon_L865_ *) % 11.53/11.68 assert (zenon_L866_ : (((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 (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (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) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (op (e0) (e3))) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.53/11.68 do 0 intro. intros zenon_He5 zenon_H96 zenon_H23f zenon_Hcc zenon_H99 zenon_H69 zenon_H20a zenon_H172 zenon_H33 zenon_H1d7 zenon_H10c zenon_H68 zenon_H232 zenon_H288 zenon_Ha8 zenon_H149 zenon_H169 zenon_Ha9. % 11.53/11.68 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.68 apply (zenon_L283_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.68 apply (zenon_L800_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.68 apply (zenon_L245_); trivial. % 11.53/11.68 apply (zenon_L865_); trivial. % 11.53/11.68 (* end of lemma zenon_L866_ *) % 11.53/11.68 assert (zenon_L867_ : (((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)) = (op (e1) (e0)))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((op (e0) (op (e0) (e3))) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (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 (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (op (e0) (e0))) = (e0))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (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) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.53/11.68 do 0 intro. intros zenon_H2ab zenon_Hab zenon_H23f zenon_H3f zenon_H169 zenon_Ha8 zenon_H288 zenon_H232 zenon_H1d7 zenon_H172 zenon_H20a zenon_H99 zenon_Hcc zenon_He4 zenon_He5 zenon_H125 zenon_Ha9 zenon_H82 zenon_H1a0 zenon_H21 zenon_Hfe zenon_H1f3 zenon_H29f zenon_H1a6 zenon_H1a3 zenon_H17d zenon_H149 zenon_H192 zenon_H247 zenon_Hf3 zenon_H18f zenon_H135 zenon_H186 zenon_H140 zenon_H68 zenon_Hb2 zenon_H146 zenon_Hae zenon_H69 zenon_H53 zenon_H10c zenon_H5f. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.68 apply (zenon_L3_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.68 apply (zenon_L3_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.68 apply (zenon_L866_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.68 apply (zenon_L44_); trivial. % 11.53/11.68 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.69 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.69 apply (zenon_L65_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.69 apply (zenon_L800_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.69 apply (zenon_L245_); trivial. % 11.53/11.69 apply (zenon_L865_); trivial. % 11.53/11.69 apply (zenon_L252_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.69 apply (zenon_L94_); trivial. % 11.53/11.69 apply (zenon_L154_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.69 apply (zenon_L192_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.69 apply (zenon_L673_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.69 apply (zenon_L94_); trivial. % 11.53/11.69 apply (zenon_L154_); trivial. % 11.53/11.69 apply (zenon_L363_); trivial. % 11.53/11.69 (* end of lemma zenon_L867_ *) % 11.53/11.69 assert (zenon_L868_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> False). % 11.53/11.69 do 0 intro. intros zenon_H176 zenon_H35 zenon_H34 zenon_Ha2 zenon_H39 zenon_H4f zenon_Hd8 zenon_Hae zenon_Hda. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33 | zenon_intro zenon_H177 ]. % 11.53/11.69 apply (zenon_L8_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H3e | zenon_intro zenon_H178 ]. % 11.53/11.69 apply (zenon_L72_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H5e | zenon_intro zenon_Hd3 ]. % 11.53/11.69 apply (zenon_L116_); trivial. % 11.53/11.69 apply (zenon_L199_); trivial. % 11.53/11.69 (* end of lemma zenon_L868_ *) % 11.53/11.69 assert (zenon_L869_ : (((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) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False). % 11.53/11.69 do 0 intro. intros zenon_H157 zenon_H125 zenon_Ha9 zenon_Hae zenon_Hd8 zenon_H4f zenon_H39 zenon_Ha2 zenon_H34 zenon_H35 zenon_H176 zenon_H167 zenon_H140 zenon_H149. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.53/11.69 apply (zenon_L355_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.53/11.69 apply (zenon_L868_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.53/11.69 apply (zenon_L137_); trivial. % 11.53/11.69 apply (zenon_L100_); trivial. % 11.53/11.69 (* end of lemma zenon_L869_ *) % 11.53/11.69 assert (zenon_L870_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> False). % 11.53/11.69 do 0 intro. intros zenon_H156 zenon_He8 zenon_Hed zenon_H5e zenon_H87 zenon_H14f zenon_H96 zenon_H81. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.69 apply (zenon_L311_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.69 apply (zenon_L202_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.69 apply (zenon_L101_); trivial. % 11.53/11.69 apply (zenon_L206_); trivial. % 11.53/11.69 (* end of lemma zenon_L870_ *) % 11.53/11.69 assert (zenon_L871_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.53/11.69 do 0 intro. intros zenon_H262 zenon_Ha8 zenon_H96 zenon_H14f zenon_H87 zenon_H5e zenon_Hed zenon_He8 zenon_H156 zenon_H82 zenon_H5b zenon_He2 zenon_Hcc. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.69 apply (zenon_L195_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.69 apply (zenon_L870_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.69 apply (zenon_L32_); trivial. % 11.53/11.69 apply (zenon_L375_); trivial. % 11.53/11.69 (* end of lemma zenon_L871_ *) % 11.53/11.69 assert (zenon_L872_ : (((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) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.53/11.69 do 0 intro. intros zenon_H2ae zenon_Hb5 zenon_H169 zenon_H258 zenon_H103 zenon_H131 zenon_H1cc zenon_He2. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H16a | zenon_intro zenon_H2af ]. % 11.53/11.69 apply (zenon_L110_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H2b0 ]. % 11.53/11.69 exact (zenon_H258 zenon_Ha3). % 11.53/11.69 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H11b | zenon_intro zenon_H132 ]. % 11.53/11.69 apply (zenon_L413_); trivial. % 11.53/11.69 apply (zenon_L257_); trivial. % 11.53/11.69 (* end of lemma zenon_L872_ *) % 11.53/11.69 assert (zenon_L873_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (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) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.53/11.69 do 0 intro. intros zenon_H1d1 zenon_H1cc zenon_H131 zenon_H258 zenon_H169 zenon_H2ae zenon_H9e zenon_H1ce zenon_H103 zenon_He2 zenon_Hcc. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1d2 ]. % 11.53/11.69 apply (zenon_L872_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H70 | zenon_intro zenon_H1d3 ]. % 11.53/11.69 apply (zenon_L384_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_Hed | zenon_intro zenon_Ha9 ]. % 11.53/11.69 apply (zenon_L271_); trivial. % 11.53/11.69 apply (zenon_L375_); trivial. % 11.53/11.69 (* end of lemma zenon_L873_ *) % 11.53/11.69 assert (zenon_L874_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.53/11.69 do 0 intro. intros zenon_H11f zenon_H172 zenon_H262 zenon_Ha8 zenon_H96 zenon_H14f zenon_H87 zenon_He8 zenon_H156 zenon_H82 zenon_H5b zenon_H27c zenon_H34 zenon_H35 zenon_H176 zenon_Hfe zenon_H2ae zenon_H258 zenon_H131 zenon_H1cc zenon_H1d1 zenon_H16a zenon_H9e zenon_H1ce zenon_H169 zenon_He2 zenon_Hcc. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33 | zenon_intro zenon_H177 ]. % 11.53/11.69 apply (zenon_L8_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H3e | zenon_intro zenon_H178 ]. % 11.53/11.69 apply (zenon_L437_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H5e | zenon_intro zenon_Hd3 ]. % 11.53/11.69 apply (zenon_L871_); trivial. % 11.53/11.69 apply (zenon_L309_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.53/11.69 apply (zenon_L367_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.53/11.69 apply (zenon_L873_); trivial. % 11.53/11.69 apply (zenon_L385_); trivial. % 11.53/11.69 (* end of lemma zenon_L874_ *) % 11.53/11.69 assert (zenon_L875_ : (((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) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (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))))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.53/11.69 do 0 intro. intros zenon_Ha5 zenon_H95 zenon_Hcc zenon_He2 zenon_H169 zenon_H1ce zenon_H16a zenon_H1d1 zenon_H1cc zenon_H131 zenon_H2ae zenon_Hfe zenon_H176 zenon_H35 zenon_H34 zenon_H27c zenon_H5b zenon_H82 zenon_H156 zenon_He8 zenon_H87 zenon_H14f zenon_H96 zenon_Ha8 zenon_H262 zenon_H172 zenon_H11f zenon_H258. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.53/11.69 apply (zenon_L33_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.53/11.69 apply (zenon_L63_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.53/11.69 apply (zenon_L874_); trivial. % 11.53/11.69 exact (zenon_H258 zenon_Ha3). % 11.53/11.69 (* end of lemma zenon_L875_ *) % 11.53/11.69 assert (zenon_L876_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.53/11.69 do 0 intro. intros zenon_H7e zenon_H4f zenon_Hd8 zenon_H55 zenon_H46 zenon_H6a zenon_H68 zenon_Hfe zenon_He2. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.69 apply (zenon_L116_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.69 apply (zenon_L20_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.69 apply (zenon_L22_); trivial. % 11.53/11.69 apply (zenon_L367_); trivial. % 11.53/11.69 (* end of lemma zenon_L876_ *) % 11.53/11.69 assert (zenon_L877_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.53/11.69 do 0 intro. intros zenon_He5 zenon_H88 zenon_He2 zenon_Ha8 zenon_H7e zenon_H4f zenon_Hd8 zenon_H46 zenon_H68 zenon_Hfe zenon_H27c zenon_H19a zenon_H117 zenon_Ha2. % 11.53/11.69 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.69 apply (zenon_L46_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.69 apply (zenon_L12_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.53/11.69 apply (zenon_L437_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.53/11.69 apply (zenon_L12_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.53/11.69 apply (zenon_L876_); trivial. % 11.53/11.69 apply (zenon_L63_); trivial. % 11.53/11.69 apply (zenon_L82_); trivial. % 11.53/11.69 (* end of lemma zenon_L877_ *) % 11.53/11.69 assert (zenon_L878_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.53/11.69 do 0 intro. intros zenon_H19a zenon_H27c zenon_H172 zenon_H20c zenon_H13b zenon_H1f8 zenon_H46 zenon_H87 zenon_H20a zenon_Hae zenon_H176 zenon_Ha8 zenon_He2. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.53/11.69 apply (zenon_L437_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.53/11.69 apply (zenon_L12_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33 | zenon_intro zenon_H177 ]. % 11.53/11.69 apply (zenon_L114_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H3e | zenon_intro zenon_H178 ]. % 11.53/11.69 apply (zenon_L40_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H5e | zenon_intro zenon_Hd3 ]. % 11.53/11.69 apply (zenon_L217_); trivial. % 11.53/11.69 apply (zenon_L309_); trivial. % 11.53/11.69 apply (zenon_L63_); trivial. % 11.53/11.69 (* end of lemma zenon_L878_ *) % 11.53/11.69 assert (zenon_L879_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (op (e1) (e1))) = (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)) = (op (e3) (e1)))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.53/11.69 do 0 intro. intros zenon_H20f zenon_H35 zenon_H34 zenon_H10d zenon_H8a zenon_Ha8 zenon_H176 zenon_Hae zenon_H20a zenon_H87 zenon_H46 zenon_H1f8 zenon_H20c zenon_H172 zenon_H27c zenon_H19a zenon_H82 zenon_He2. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.69 apply (zenon_L8_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.69 apply (zenon_L213_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.69 apply (zenon_L878_); trivial. % 11.53/11.69 apply (zenon_L322_); trivial. % 11.53/11.69 (* end of lemma zenon_L879_ *) % 11.53/11.69 assert (zenon_L880_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.53/11.69 do 0 intro. intros zenon_Hc4 zenon_H8c zenon_H20a zenon_He2 zenon_Ha8 zenon_H55 zenon_H8d zenon_H82. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.69 apply (zenon_L31_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.69 apply (zenon_L216_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.69 apply (zenon_L341_); trivial. % 11.53/11.69 apply (zenon_L256_); trivial. % 11.53/11.69 (* end of lemma zenon_L880_ *) % 11.53/11.69 assert (zenon_L881_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.53/11.69 do 0 intro. intros zenon_H20f zenon_H35 zenon_H34 zenon_H8d zenon_H3f zenon_Hc4 zenon_H8c zenon_H20a zenon_Ha8 zenon_H46 zenon_He5 zenon_H5b zenon_Hb2 zenon_H82 zenon_He2. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.69 apply (zenon_L8_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.69 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.69 apply (zenon_L46_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.69 apply (zenon_L12_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.69 apply (zenon_L880_); trivial. % 11.53/11.69 apply (zenon_L53_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.69 apply (zenon_L329_); trivial. % 11.53/11.69 apply (zenon_L322_); trivial. % 11.53/11.69 (* end of lemma zenon_L881_ *) % 11.53/11.69 assert (zenon_L882_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False). % 11.53/11.69 do 0 intro. intros zenon_Hc4 zenon_Hce zenon_Hf8 zenon_H109 zenon_H120 zenon_H20a zenon_He2 zenon_Ha8 zenon_H55 zenon_H8c. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.69 apply (zenon_L339_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.69 apply (zenon_L216_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.69 apply (zenon_L341_); trivial. % 11.53/11.69 apply (zenon_L84_); trivial. % 11.53/11.69 (* end of lemma zenon_L882_ *) % 11.53/11.69 assert (zenon_L883_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (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)) = (e1)) -> False). % 11.53/11.69 do 0 intro. intros zenon_He5 zenon_H88 zenon_H46 zenon_H8c zenon_Ha8 zenon_He2 zenon_H20a zenon_H120 zenon_H109 zenon_Hf8 zenon_Hce zenon_Hc4 zenon_H117 zenon_Ha2. % 11.53/11.69 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.69 apply (zenon_L46_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.69 apply (zenon_L12_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.69 apply (zenon_L882_); trivial. % 11.53/11.69 apply (zenon_L82_); trivial. % 11.53/11.69 (* end of lemma zenon_L883_ *) % 11.53/11.69 assert (zenon_L884_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (op (e1) (e0))) = (e0))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.53/11.69 do 0 intro. intros zenon_Hc7 zenon_H2a zenon_Ha2 zenon_H117 zenon_Hce zenon_Hf8 zenon_H109 zenon_H120 zenon_H19a zenon_H27c zenon_H172 zenon_H20c zenon_H1f8 zenon_H87 zenon_Hae zenon_H176 zenon_H10d zenon_H20f zenon_H35 zenon_H34 zenon_H3f zenon_Hc4 zenon_H8c zenon_H20a zenon_Ha8 zenon_H46 zenon_He5 zenon_H5b zenon_Hb2 zenon_H82 zenon_He2. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.69 apply (zenon_L6_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.69 apply (zenon_L883_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.69 apply (zenon_L879_); trivial. % 11.53/11.69 apply (zenon_L881_); trivial. % 11.53/11.69 (* end of lemma zenon_L884_ *) % 11.53/11.69 assert (zenon_L885_ : (((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)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.53/11.69 do 0 intro. intros zenon_Ha5 zenon_H68 zenon_Hed zenon_He2 zenon_Ha8 zenon_H55 zenon_H9d zenon_H258. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.53/11.69 apply (zenon_L163_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.53/11.69 apply (zenon_L63_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.53/11.69 apply (zenon_L35_); trivial. % 11.53/11.69 exact (zenon_H258 zenon_Ha3). % 11.53/11.69 (* end of lemma zenon_L885_ *) % 11.53/11.69 assert (zenon_L886_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.53/11.69 do 0 intro. intros zenon_He5 zenon_H88 zenon_H46 zenon_H258 zenon_H9d zenon_Ha8 zenon_He2 zenon_Hed zenon_H68 zenon_Ha5 zenon_H117 zenon_Ha2. % 11.53/11.69 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.69 apply (zenon_L46_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.69 apply (zenon_L12_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.69 apply (zenon_L885_); trivial. % 11.53/11.69 apply (zenon_L82_); trivial. % 11.53/11.69 (* end of lemma zenon_L886_ *) % 11.53/11.69 assert (zenon_L887_ : (((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)) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False). % 11.53/11.69 do 0 intro. intros zenon_Hc4 zenon_Ha8 zenon_H59 zenon_H20a zenon_He2 zenon_H82 zenon_H8a zenon_H8c. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.69 apply (zenon_L47_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.69 apply (zenon_L216_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.69 apply (zenon_L50_); trivial. % 11.53/11.69 apply (zenon_L84_); trivial. % 11.53/11.69 (* end of lemma zenon_L887_ *) % 11.53/11.69 assert (zenon_L888_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.53/11.69 do 0 intro. intros zenon_Hc4 zenon_H8c zenon_H20a zenon_He2 zenon_Hfd zenon_H53 zenon_H8d zenon_H82. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.69 apply (zenon_L31_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.69 apply (zenon_L216_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.69 apply (zenon_L125_); trivial. % 11.53/11.69 apply (zenon_L256_); trivial. % 11.53/11.69 (* end of lemma zenon_L888_ *) % 11.53/11.69 assert (zenon_L889_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> False). % 11.53/11.69 do 0 intro. intros zenon_Hc7 zenon_H3f zenon_H46 zenon_H59 zenon_Ha8 zenon_Hc4 zenon_H8c zenon_H20a zenon_He2 zenon_Hfd zenon_H53 zenon_H82. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.69 apply (zenon_L44_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.69 apply (zenon_L46_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.69 apply (zenon_L887_); trivial. % 11.53/11.69 apply (zenon_L888_); trivial. % 11.53/11.69 (* end of lemma zenon_L889_ *) % 11.53/11.69 assert (zenon_L890_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.53/11.69 do 0 intro. intros zenon_H24a zenon_Ha8 zenon_H129 zenon_H8d zenon_H3f zenon_H167 zenon_H68 zenon_H258. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.53/11.69 apply (zenon_L88_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.53/11.69 apply (zenon_L53_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.53/11.69 apply (zenon_L121_); trivial. % 11.53/11.69 exact (zenon_H258 zenon_Ha3). % 11.53/11.69 (* end of lemma zenon_L890_ *) % 11.53/11.69 assert (zenon_L891_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.53/11.69 do 0 intro. intros zenon_H20f zenon_H35 zenon_H34 zenon_H59 zenon_H46 zenon_H5b zenon_Hb2 zenon_H82 zenon_He2. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.69 apply (zenon_L8_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.69 apply (zenon_L46_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.69 apply (zenon_L329_); trivial. % 11.53/11.69 apply (zenon_L322_); trivial. % 11.53/11.69 (* end of lemma zenon_L891_ *) % 11.53/11.69 assert (zenon_L892_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e3)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> False). % 11.53/11.69 do 0 intro. intros zenon_H18f zenon_H125 zenon_Hb5 zenon_H59 zenon_He4 zenon_H160 zenon_H22e zenon_H17b zenon_Hd8. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H5b | zenon_intro zenon_H190 ]. % 11.53/11.69 apply (zenon_L141_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H5c | zenon_intro zenon_H191 ]. % 11.53/11.69 apply (zenon_L65_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hec | zenon_intro zenon_H93 ]. % 11.53/11.69 apply (zenon_L300_); trivial. % 11.53/11.69 apply (zenon_L131_); trivial. % 11.53/11.69 (* end of lemma zenon_L892_ *) % 11.53/11.69 assert (zenon_L893_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((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 (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.53/11.69 do 0 intro. intros zenon_H11f zenon_H5f zenon_Hfe zenon_He2 zenon_H1cc zenon_H131 zenon_H258 zenon_H169 zenon_Hb5 zenon_H2ae zenon_Ha1 zenon_H1a4. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.53/11.69 apply (zenon_L69_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.53/11.69 apply (zenon_L367_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.53/11.69 apply (zenon_L872_); trivial. % 11.53/11.69 apply (zenon_L261_); trivial. % 11.53/11.69 (* end of lemma zenon_L893_ *) % 11.53/11.69 assert (zenon_L894_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (op (e1) (e0))) = (e0))) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((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). % 11.53/11.69 do 0 intro. intros zenon_Hc7 zenon_H2a zenon_H46 zenon_H8c zenon_H82 zenon_He2 zenon_H20a zenon_H59 zenon_Ha8 zenon_Hc4 zenon_H117 zenon_H38. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.69 apply (zenon_L6_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.69 apply (zenon_L46_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.69 apply (zenon_L887_); trivial. % 11.53/11.69 apply (zenon_L337_); trivial. % 11.53/11.69 (* end of lemma zenon_L894_ *) % 11.53/11.69 assert (zenon_L895_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e2)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.53/11.69 do 0 intro. intros zenon_H1a0 zenon_H4f zenon_H120 zenon_H109 zenon_Hce zenon_Ha2 zenon_H262 zenon_H1f zenon_H82 zenon_H20a zenon_H8c zenon_Hc4 zenon_H3f zenon_H5e zenon_Hc7 zenon_Hfe zenon_Hcc zenon_H172 zenon_H1c8 zenon_Ha5 zenon_H68 zenon_He2 zenon_Ha8 zenon_H55 zenon_H9d zenon_H258. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.69 apply (zenon_L116_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.69 apply (zenon_L882_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.69 apply (zenon_L351_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.69 apply (zenon_L309_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.69 apply (zenon_L351_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.69 apply (zenon_L27_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.69 apply (zenon_L345_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.69 apply (zenon_L29_); trivial. % 11.53/11.69 apply (zenon_L880_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.69 apply (zenon_L93_); trivial. % 11.53/11.69 apply (zenon_L375_); trivial. % 11.53/11.69 apply (zenon_L88_); trivial. % 11.53/11.69 apply (zenon_L885_); trivial. % 11.53/11.69 (* end of lemma zenon_L895_ *) % 11.53/11.69 assert (zenon_L896_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.53/11.69 do 0 intro. intros zenon_Ha5 zenon_H3f zenon_Hb5 zenon_He2 zenon_Ha8 zenon_H55 zenon_H9d zenon_H258. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.53/11.69 apply (zenon_L42_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.53/11.69 apply (zenon_L63_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.53/11.69 apply (zenon_L35_); trivial. % 11.53/11.69 exact (zenon_H258 zenon_Ha3). % 11.53/11.69 (* end of lemma zenon_L896_ *) % 11.53/11.69 assert (zenon_L897_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False). % 11.53/11.69 do 0 intro. intros zenon_H120 zenon_H81 zenon_H55 zenon_H109 zenon_H12c zenon_H167 zenon_H8c. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H8d | zenon_intro zenon_H123 ]. % 11.53/11.69 apply (zenon_L31_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_Hbe | zenon_intro zenon_H124 ]. % 11.53/11.69 apply (zenon_L265_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11a | zenon_intro zenon_Hc2 ]. % 11.53/11.69 apply (zenon_L143_); trivial. % 11.53/11.69 apply (zenon_L84_); trivial. % 11.53/11.69 (* end of lemma zenon_L897_ *) % 11.53/11.69 assert (zenon_L898_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((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)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> False). % 11.53/11.69 do 0 intro. intros zenon_Hc4 zenon_H1d4 zenon_H243 zenon_H68 zenon_Ha2 zenon_Hf8 zenon_Hce zenon_H12c zenon_H109 zenon_H120 zenon_H283 zenon_H35 zenon_H104 zenon_H9d zenon_H131 zenon_H286 zenon_H82 zenon_H23b zenon_H20a zenon_He2 zenon_Ha8 zenon_H55 zenon_H8c. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.53/11.69 apply (zenon_L201_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.53/11.69 apply (zenon_L341_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H244 ]. % 11.53/11.69 apply (zenon_L152_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H11a | zenon_intro zenon_H245 ]. % 11.53/11.69 apply (zenon_L203_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H167 | zenon_intro zenon_H11b ]. % 11.53/11.69 apply (zenon_L897_); trivial. % 11.53/11.69 apply (zenon_L852_); trivial. % 11.53/11.69 apply (zenon_L176_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.69 apply (zenon_L216_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.69 apply (zenon_L341_); trivial. % 11.53/11.69 apply (zenon_L84_); trivial. % 11.53/11.69 (* end of lemma zenon_L898_ *) % 11.53/11.69 assert (zenon_L899_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.53/11.69 do 0 intro. intros zenon_H1a0 zenon_H4f zenon_H5e zenon_H8c zenon_H55 zenon_Ha8 zenon_He2 zenon_H20a zenon_H23b zenon_H82 zenon_H286 zenon_H131 zenon_H9d zenon_H104 zenon_H35 zenon_H283 zenon_H120 zenon_H109 zenon_H12c zenon_Hce zenon_Ha2 zenon_H243 zenon_H1d4 zenon_Hc4 zenon_H5f zenon_H5b zenon_H70 zenon_H68. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.69 apply (zenon_L116_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.69 apply (zenon_L898_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.69 apply (zenon_L70_); trivial. % 11.53/11.69 apply (zenon_L163_); trivial. % 11.53/11.69 (* end of lemma zenon_L899_ *) % 11.53/11.69 assert (zenon_L900_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (op (e1) (e1))) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e2) (e0)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (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 (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.53/11.69 do 0 intro. intros zenon_H1a6 zenon_Hfe zenon_H6a zenon_H46 zenon_H7e zenon_H70 zenon_H5b zenon_Hc4 zenon_H1d4 zenon_H243 zenon_Hce zenon_H12c zenon_H109 zenon_H120 zenon_H283 zenon_H104 zenon_H9d zenon_H131 zenon_H286 zenon_H82 zenon_H23b zenon_H20a zenon_He2 zenon_Ha8 zenon_H55 zenon_H8c zenon_H4f zenon_H1a0 zenon_H35 zenon_H5f zenon_Ha2 zenon_H68. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.69 apply (zenon_L876_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.69 apply (zenon_L899_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.69 apply (zenon_L229_); trivial. % 11.53/11.69 apply (zenon_L152_); trivial. % 11.53/11.69 (* end of lemma zenon_L900_ *) % 11.53/11.69 assert (zenon_L901_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False). % 11.53/11.69 do 0 intro. intros zenon_H17d zenon_H68 zenon_H99 zenon_He2 zenon_H140 zenon_H1fc zenon_H88 zenon_H1f8 zenon_Hf3 zenon_Hec zenon_Hb2 zenon_H149. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.53/11.69 apply (zenon_L68_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.53/11.69 apply (zenon_L73_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.53/11.69 apply (zenon_L589_); trivial. % 11.53/11.69 apply (zenon_L499_); trivial. % 11.53/11.69 (* end of lemma zenon_L901_ *) % 11.53/11.69 assert (zenon_L902_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.53/11.69 do 0 intro. intros zenon_H232 zenon_H82 zenon_H38 zenon_H8c zenon_H149 zenon_H1cc zenon_He2. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H129 | zenon_intro zenon_H233 ]. % 11.53/11.69 apply (zenon_L338_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H234 ]. % 11.53/11.69 apply (zenon_L84_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H12b | zenon_intro zenon_H132 ]. % 11.53/11.69 apply (zenon_L100_); trivial. % 11.53/11.69 apply (zenon_L257_); trivial. % 11.53/11.69 (* end of lemma zenon_L902_ *) % 11.53/11.69 assert (zenon_L903_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.53/11.69 do 0 intro. intros zenon_H232 zenon_Hfe zenon_H1a4 zenon_H8c zenon_H149 zenon_H1cc zenon_He2. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H129 | zenon_intro zenon_H233 ]. % 11.53/11.69 apply (zenon_L233_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H234 ]. % 11.53/11.69 apply (zenon_L84_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H12b | zenon_intro zenon_H132 ]. % 11.53/11.69 apply (zenon_L100_); trivial. % 11.53/11.69 apply (zenon_L257_); trivial. % 11.53/11.69 (* end of lemma zenon_L903_ *) % 11.53/11.69 assert (zenon_L904_ : (((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) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.53/11.69 do 0 intro. intros zenon_H1a6 zenon_H5f zenon_H1f zenon_H68 zenon_H3e zenon_H104 zenon_H103 zenon_H232 zenon_Hfe zenon_H8c zenon_H149 zenon_H1cc zenon_He2. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.69 apply (zenon_L533_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.69 apply (zenon_L242_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.69 apply (zenon_L77_); trivial. % 11.53/11.69 apply (zenon_L903_); trivial. % 11.53/11.69 (* end of lemma zenon_L904_ *) % 11.53/11.69 assert (zenon_L905_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.53/11.69 do 0 intro. intros zenon_H2ae zenon_H1aa zenon_H258 zenon_H103 zenon_H131 zenon_H1cc zenon_He2. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H16a | zenon_intro zenon_H2af ]. % 11.53/11.69 apply (zenon_L171_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H2b0 ]. % 11.53/11.69 exact (zenon_H258 zenon_Ha3). % 11.53/11.69 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H11b | zenon_intro zenon_H132 ]. % 11.53/11.69 apply (zenon_L413_); trivial. % 11.53/11.69 apply (zenon_L257_); trivial. % 11.53/11.69 (* end of lemma zenon_L905_ *) % 11.53/11.69 assert (zenon_L906_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.53/11.69 do 0 intro. intros zenon_H1da zenon_H1cc zenon_H131 zenon_H258 zenon_H2ae zenon_H5f zenon_H1d1 zenon_H169 zenon_H125 zenon_H5c zenon_H1ce zenon_H103 zenon_He2 zenon_Hcc. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.69 apply (zenon_L872_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.69 apply (zenon_L905_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.69 apply (zenon_L303_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1d2 ]. % 11.53/11.69 apply (zenon_L110_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H70 | zenon_intro zenon_H1d3 ]. % 11.53/11.69 apply (zenon_L150_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_Hed | zenon_intro zenon_Ha9 ]. % 11.53/11.69 apply (zenon_L271_); trivial. % 11.53/11.69 apply (zenon_L375_); trivial. % 11.53/11.69 (* end of lemma zenon_L906_ *) % 11.53/11.69 assert (zenon_L907_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (op (e1) (e3))) = (e3))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.53/11.69 do 0 intro. intros zenon_H232 zenon_Ha8 zenon_Ha2 zenon_H8c zenon_H149 zenon_H1cc zenon_He2. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H129 | zenon_intro zenon_H233 ]. % 11.53/11.69 apply (zenon_L88_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H234 ]. % 11.53/11.69 apply (zenon_L84_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H12b | zenon_intro zenon_H132 ]. % 11.53/11.69 apply (zenon_L100_); trivial. % 11.53/11.69 apply (zenon_L257_); trivial. % 11.53/11.69 (* end of lemma zenon_L907_ *) % 11.53/11.69 assert (zenon_L908_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.69 do 0 intro. intros zenon_H24e zenon_H1f3 zenon_Hd8 zenon_H10d zenon_H65 zenon_H140 zenon_Hfe zenon_H127. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.69 apply (zenon_L278_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.69 apply (zenon_L79_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.69 apply (zenon_L106_); trivial. % 11.53/11.69 apply (zenon_L87_); trivial. % 11.53/11.69 (* end of lemma zenon_L908_ *) % 11.53/11.69 assert (zenon_L909_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False). % 11.53/11.69 do 0 intro. intros zenon_H183 zenon_H13e zenon_H180 zenon_H5e zenon_H27c zenon_H53 zenon_H10c zenon_H127 zenon_H104. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H35 | zenon_intro zenon_H184 ]. % 11.53/11.69 apply (zenon_L123_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H54 | zenon_intro zenon_H185 ]. % 11.53/11.69 apply (zenon_L459_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfd ]. % 11.53/11.69 apply (zenon_L92_); trivial. % 11.53/11.69 apply (zenon_L168_); trivial. % 11.53/11.69 (* end of lemma zenon_L909_ *) % 11.53/11.69 assert (zenon_L910_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.69 do 0 intro. intros zenon_H252 zenon_H33 zenon_H34 zenon_H2b zenon_H58 zenon_H104 zenon_H10c zenon_H53 zenon_H27c zenon_H5e zenon_H180 zenon_H183 zenon_H82 zenon_H127. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.69 apply (zenon_L8_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.69 apply (zenon_L302_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.69 apply (zenon_L909_); trivial. % 11.53/11.69 apply (zenon_L410_); trivial. % 11.53/11.69 (* end of lemma zenon_L910_ *) % 11.53/11.69 assert (zenon_L911_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.69 do 0 intro. intros zenon_H1e1 zenon_H1f3 zenon_H96 zenon_H10c zenon_H68 zenon_H69 zenon_H140 zenon_Ha8 zenon_H127. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.53/11.69 apply (zenon_L254_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.53/11.69 apply (zenon_L245_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.53/11.69 apply (zenon_L239_); trivial. % 11.53/11.69 apply (zenon_L170_); trivial. % 11.53/11.69 (* end of lemma zenon_L911_ *) % 11.53/11.69 assert (zenon_L912_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e2)) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.53/11.69 do 0 intro. intros zenon_H1c8 zenon_H1f zenon_H131 zenon_H149 zenon_H82 zenon_H232 zenon_H5f zenon_H10c zenon_H59 zenon_H3f zenon_Hc7 zenon_H104 zenon_H127 zenon_H1a4 zenon_Hfe. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.69 apply (zenon_L351_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.69 apply (zenon_L44_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.69 apply (zenon_L232_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.69 apply (zenon_L208_); trivial. % 11.53/11.69 apply (zenon_L262_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.69 apply (zenon_L168_); trivial. % 11.53/11.69 apply (zenon_L233_); trivial. % 11.53/11.69 (* end of lemma zenon_L912_ *) % 11.53/11.69 assert (zenon_L913_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.53/11.69 do 0 intro. intros zenon_H243 zenon_Hfe zenon_H127 zenon_H104 zenon_Hc7 zenon_H3f zenon_H59 zenon_H5f zenon_H232 zenon_H82 zenon_H149 zenon_H131 zenon_H1f zenon_H1c8 zenon_H10c zenon_H109 zenon_H69 zenon_H192 zenon_H1c5. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H244 ]. % 11.53/11.69 apply (zenon_L912_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H11a | zenon_intro zenon_H245 ]. % 11.53/11.69 apply (zenon_L286_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H167 | zenon_intro zenon_H11b ]. % 11.53/11.69 apply (zenon_L134_); trivial. % 11.53/11.69 exact (zenon_H1c5 zenon_H11b). % 11.53/11.69 (* end of lemma zenon_L913_ *) % 11.53/11.69 assert (zenon_L914_ : (((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)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False). % 11.53/11.69 do 0 intro. intros zenon_H157 zenon_Ha8 zenon_H5c zenon_Hfe zenon_H69 zenon_H286 zenon_H127 zenon_H149. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.53/11.69 apply (zenon_L119_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.53/11.69 apply (zenon_L211_); trivial. % 11.53/11.69 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.53/11.70 apply (zenon_L446_); trivial. % 11.53/11.70 apply (zenon_L100_); trivial. % 11.53/11.70 (* end of lemma zenon_L914_ *) % 11.53/11.70 assert (zenon_L915_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.53/11.70 do 0 intro. intros zenon_H11f zenon_H68 zenon_H70 zenon_H69 zenon_H99 zenon_H127 zenon_Hfe zenon_H1c5. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.53/11.70 apply (zenon_L163_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.53/11.70 apply (zenon_L255_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.53/11.70 apply (zenon_L87_); trivial. % 11.53/11.70 exact (zenon_H1c5 zenon_H11b). % 11.53/11.70 (* end of lemma zenon_L915_ *) % 11.53/11.70 assert (zenon_L916_ : (((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) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.53/11.70 do 0 intro. intros zenon_H1d7 zenon_H33 zenon_H172 zenon_H70 zenon_Hcc zenon_H69 zenon_H99 zenon_H127 zenon_H1d4. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1d8 ]. % 11.53/11.70 apply (zenon_L155_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H9a | zenon_intro zenon_H1d9 ]. % 11.53/11.70 apply (zenon_L56_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H6f | zenon_intro zenon_He2 ]. % 11.53/11.70 apply (zenon_L255_); trivial. % 11.53/11.70 apply (zenon_L176_); trivial. % 11.53/11.70 (* end of lemma zenon_L916_ *) % 11.53/11.70 assert (zenon_L917_ : (((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)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False). % 11.53/11.70 do 0 intro. intros zenon_H2a8 zenon_H35 zenon_H180 zenon_H69 zenon_H140 zenon_H127 zenon_H286. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H13e | zenon_intro zenon_H2a9 ]. % 11.53/11.70 apply (zenon_L123_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H179 | zenon_intro zenon_H2aa ]. % 11.53/11.70 apply (zenon_L239_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H112 ]. % 11.53/11.70 apply (zenon_L106_); trivial. % 11.53/11.70 apply (zenon_L446_); trivial. % 11.53/11.70 (* end of lemma zenon_L917_ *) % 11.53/11.70 assert (zenon_L918_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.53/11.70 do 0 intro. intros zenon_H243 zenon_H5f zenon_H38 zenon_H10c zenon_H109 zenon_H69 zenon_H192 zenon_H1c5. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H244 ]. % 11.53/11.70 apply (zenon_L362_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H11a | zenon_intro zenon_H245 ]. % 11.53/11.70 apply (zenon_L286_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H167 | zenon_intro zenon_H11b ]. % 11.53/11.70 apply (zenon_L134_); trivial. % 11.53/11.70 exact (zenon_H1c5 zenon_H11b). % 11.53/11.70 (* end of lemma zenon_L918_ *) % 11.53/11.70 assert (zenon_L919_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (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) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.53/11.70 do 0 intro. intros zenon_H2ab zenon_H104 zenon_Hc7 zenon_H232 zenon_H82 zenon_H131 zenon_H1c8 zenon_Hfe zenon_H99 zenon_H11f zenon_H135 zenon_Hab zenon_H68 zenon_H1f3 zenon_H1e1 zenon_H3f zenon_H149 zenon_Ha8 zenon_H157 zenon_H1d7 zenon_H172 zenon_Hcc zenon_H1d4 zenon_H4f zenon_H29f zenon_H286 zenon_H127 zenon_H140 zenon_H180 zenon_H2a8 zenon_H243 zenon_H5f zenon_H10c zenon_H109 zenon_H69 zenon_H192 zenon_H1c5. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.70 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.70 apply (zenon_L911_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.70 apply (zenon_L913_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.70 apply (zenon_L914_); trivial. % 11.53/11.70 apply (zenon_L915_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.70 apply (zenon_L14_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.70 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.70 apply (zenon_L911_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.70 apply (zenon_L44_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.70 apply (zenon_L914_); trivial. % 11.53/11.70 apply (zenon_L916_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.70 apply (zenon_L94_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.53/11.70 apply (zenon_L69_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.53/11.70 apply (zenon_L255_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.53/11.70 apply (zenon_L87_); trivial. % 11.53/11.70 exact (zenon_H1c5 zenon_H11b). % 11.53/11.70 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.70 apply (zenon_L917_); trivial. % 11.53/11.70 apply (zenon_L918_); trivial. % 11.53/11.70 (* end of lemma zenon_L919_ *) % 11.53/11.70 assert (zenon_L920_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (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) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.53/11.70 do 0 intro. intros zenon_Hab zenon_H1f3 zenon_H54 zenon_H3f zenon_H2b zenon_H149 zenon_H286 zenon_Hfe zenon_Ha8 zenon_H157 zenon_H1d7 zenon_H33 zenon_H172 zenon_Hcc zenon_H69 zenon_H99 zenon_H127 zenon_H1d4. % 11.53/11.70 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.70 apply (zenon_L254_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.70 apply (zenon_L44_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.70 apply (zenon_L914_); trivial. % 11.53/11.70 apply (zenon_L916_); trivial. % 11.53/11.70 (* end of lemma zenon_L920_ *) % 11.53/11.70 assert (zenon_L921_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (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) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> ((op (e2) (e3)) = (e1)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H1fc zenon_Hae zenon_Hf3 zenon_H1d4 zenon_H127 zenon_H99 zenon_Hcc zenon_H172 zenon_H33 zenon_H1d7 zenon_H157 zenon_Ha8 zenon_Hfe zenon_H286 zenon_H2b zenon_H3f zenon_H54 zenon_H1f3 zenon_Hab zenon_H149 zenon_H17b. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H13b | zenon_intro zenon_H1fd ]. % 11.53/11.70 apply (zenon_L114_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H6a | zenon_intro zenon_H1fe ]. % 11.53/11.70 apply (zenon_L73_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H69 | zenon_intro zenon_Hda ]. % 11.53/11.70 apply (zenon_L920_); trivial. % 11.53/11.70 apply (zenon_L480_); trivial. % 11.53/11.70 (* end of lemma zenon_L921_ *) % 11.53/11.70 assert (zenon_L922_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (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) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False). % 11.53/11.70 do 0 intro. intros zenon_H17d zenon_H125 zenon_H70 zenon_H180 zenon_H1fc zenon_Hae zenon_Hf3 zenon_H1d4 zenon_H127 zenon_H99 zenon_Hcc zenon_H172 zenon_H33 zenon_H1d7 zenon_H157 zenon_Ha8 zenon_Hfe zenon_H286 zenon_H2b zenon_H3f zenon_H54 zenon_H1f3 zenon_Hab zenon_H149. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.53/11.70 apply (zenon_L150_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.53/11.70 apply (zenon_L73_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.53/11.70 apply (zenon_L124_); trivial. % 11.53/11.70 apply (zenon_L921_); trivial. % 11.53/11.70 (* end of lemma zenon_L922_ *) % 11.53/11.70 assert (zenon_L923_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (op (e2) (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 (e0) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False). % 11.53/11.70 do 0 intro. intros zenon_H183 zenon_H13e zenon_H149 zenon_Hab zenon_H3f zenon_H2b zenon_H286 zenon_Hfe zenon_Ha8 zenon_H157 zenon_H1d7 zenon_H33 zenon_H172 zenon_Hcc zenon_H99 zenon_H1d4 zenon_Hf3 zenon_Hae zenon_H1fc zenon_H180 zenon_H70 zenon_H125 zenon_H17d zenon_H1f3 zenon_Hd8 zenon_H127 zenon_H104. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H35 | zenon_intro zenon_H184 ]. % 11.53/11.70 apply (zenon_L123_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H54 | zenon_intro zenon_H185 ]. % 11.53/11.70 apply (zenon_L922_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfd ]. % 11.53/11.70 apply (zenon_L278_); trivial. % 11.53/11.70 apply (zenon_L168_); trivial. % 11.53/11.70 (* end of lemma zenon_L923_ *) % 11.53/11.70 assert (zenon_L924_ : (((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)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (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) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.53/11.70 do 0 intro. intros zenon_Ha5 zenon_H104 zenon_Hd8 zenon_H1f3 zenon_H17d zenon_H125 zenon_H180 zenon_H1fc zenon_Hae zenon_Hf3 zenon_H1d4 zenon_H99 zenon_H172 zenon_H33 zenon_H1d7 zenon_H157 zenon_Hfe zenon_H286 zenon_H2b zenon_H3f zenon_Hab zenon_H149 zenon_H13e zenon_H183 zenon_H20a zenon_H44 zenon_Ha8 zenon_H1d1 zenon_H16a zenon_H169 zenon_H6f zenon_Hcc zenon_H127 zenon_H1ce. % 11.53/11.70 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.53/11.70 apply (zenon_L923_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.53/11.70 apply (zenon_L214_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.53/11.70 apply (zenon_L170_); trivial. % 11.53/11.70 apply (zenon_L175_); trivial. % 11.53/11.70 (* end of lemma zenon_L924_ *) % 11.53/11.70 assert (zenon_L925_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (((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)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (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) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((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 (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.53/11.70 do 0 intro. intros zenon_H1da zenon_He8 zenon_H82 zenon_Ha5 zenon_H104 zenon_Hd8 zenon_H1f3 zenon_H17d zenon_H125 zenon_H180 zenon_H1fc zenon_Hae zenon_Hf3 zenon_H1d4 zenon_H99 zenon_H172 zenon_H33 zenon_H1d7 zenon_H157 zenon_Hfe zenon_H286 zenon_H2b zenon_H3f zenon_Hab zenon_H149 zenon_H13e zenon_H183 zenon_H20a zenon_H44 zenon_Ha8 zenon_H1d1 zenon_H169 zenon_H6f zenon_Hcc zenon_H127 zenon_H1ce. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.70 apply (zenon_L67_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.70 apply (zenon_L155_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.70 apply (zenon_L410_); trivial. % 11.53/11.70 apply (zenon_L924_); trivial. % 11.53/11.70 (* end of lemma zenon_L925_ *) % 11.53/11.70 assert (zenon_L926_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H24e zenon_H1f3 zenon_Hd8 zenon_H11a zenon_H109 zenon_H140 zenon_Hfe zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.70 apply (zenon_L278_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.70 apply (zenon_L286_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.70 apply (zenon_L106_); trivial. % 11.53/11.70 apply (zenon_L87_); trivial. % 11.53/11.70 (* end of lemma zenon_L926_ *) % 11.53/11.70 assert (zenon_L927_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H24e zenon_H295 zenon_H55 zenon_H68 zenon_H140 zenon_Hfe zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.70 apply (zenon_L461_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.70 apply (zenon_L245_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.70 apply (zenon_L106_); trivial. % 11.53/11.70 apply (zenon_L87_); trivial. % 11.53/11.70 (* end of lemma zenon_L927_ *) % 11.53/11.70 assert (zenon_L928_ : (((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 (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H2ae zenon_Hb5 zenon_H169 zenon_Hbe zenon_H119 zenon_H1c5 zenon_H131 zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H16a | zenon_intro zenon_H2af ]. % 11.53/11.70 apply (zenon_L110_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H2b0 ]. % 11.53/11.70 apply (zenon_L296_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H11b | zenon_intro zenon_H132 ]. % 11.53/11.70 exact (zenon_H1c5 zenon_H11b). % 11.53/11.70 apply (zenon_L91_); trivial. % 11.53/11.70 (* end of lemma zenon_L928_ *) % 11.53/11.70 assert (zenon_L929_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H2ae zenon_H1aa zenon_H1cc zenon_Hbe zenon_H119 zenon_H1c5 zenon_H131 zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H16a | zenon_intro zenon_H2af ]. % 11.53/11.70 apply (zenon_L171_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H2b0 ]. % 11.53/11.70 apply (zenon_L296_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H11b | zenon_intro zenon_H132 ]. % 11.53/11.70 exact (zenon_H1c5 zenon_H11b). % 11.53/11.70 apply (zenon_L91_); trivial. % 11.53/11.70 (* end of lemma zenon_L929_ *) % 11.53/11.70 assert (zenon_L930_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((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)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (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) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((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 (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H1da zenon_H131 zenon_H1c5 zenon_H1cc zenon_H2ae zenon_H82 zenon_Ha5 zenon_H104 zenon_Hd8 zenon_H1f3 zenon_H17d zenon_H125 zenon_H180 zenon_H1fc zenon_Hae zenon_Hf3 zenon_H1d4 zenon_H99 zenon_H172 zenon_H33 zenon_H1d7 zenon_H157 zenon_Hfe zenon_H286 zenon_H2b zenon_H3f zenon_Hab zenon_H149 zenon_H13e zenon_H183 zenon_H1ce zenon_Hcc zenon_H6f zenon_H169 zenon_H1d1 zenon_H127 zenon_Ha8 zenon_H119 zenon_Hbe. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.70 apply (zenon_L928_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.70 apply (zenon_L929_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.70 apply (zenon_L410_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.53/11.70 apply (zenon_L923_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.53/11.70 apply (zenon_L642_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.53/11.70 apply (zenon_L170_); trivial. % 11.53/11.70 apply (zenon_L296_); trivial. % 11.53/11.70 (* end of lemma zenon_L930_ *) % 11.53/11.70 assert (zenon_L931_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H24e zenon_H295 zenon_H104 zenon_H53 zenon_H27c zenon_H5e zenon_H180 zenon_H13e zenon_H183 zenon_H140 zenon_Hfe zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.70 apply (zenon_L461_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.70 apply (zenon_L909_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.70 apply (zenon_L106_); trivial. % 11.53/11.70 apply (zenon_L87_); trivial. % 11.53/11.70 (* end of lemma zenon_L931_ *) % 11.53/11.70 assert (zenon_L932_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H24e zenon_H1a4 zenon_H1de zenon_H10d zenon_H65 zenon_H140 zenon_Hfe zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.70 apply (zenon_L316_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.70 apply (zenon_L79_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.70 apply (zenon_L106_); trivial. % 11.53/11.70 apply (zenon_L87_); trivial. % 11.53/11.70 (* end of lemma zenon_L932_ *) % 11.53/11.70 assert (zenon_L933_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H232 zenon_Hfe zenon_H1a4 zenon_Ha8 zenon_Hbe zenon_H149 zenon_H131 zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H129 | zenon_intro zenon_H233 ]. % 11.53/11.70 apply (zenon_L233_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H234 ]. % 11.53/11.70 apply (zenon_L51_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H12b | zenon_intro zenon_H132 ]. % 11.53/11.70 apply (zenon_L100_); trivial. % 11.53/11.70 apply (zenon_L91_); trivial. % 11.53/11.70 (* end of lemma zenon_L933_ *) % 11.53/11.70 assert (zenon_L934_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (op (e2) (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) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H24a zenon_H104 zenon_H295 zenon_H1de zenon_H180 zenon_H13e zenon_H183 zenon_H131 zenon_H1a4 zenon_H232 zenon_H149 zenon_Hab zenon_H1f3 zenon_H54 zenon_H3f zenon_H2b zenon_H286 zenon_Hfe zenon_Ha8 zenon_H157 zenon_H1d7 zenon_H33 zenon_H172 zenon_Hcc zenon_H99 zenon_H127 zenon_H1d4 zenon_Hf3 zenon_Hae zenon_H1fc zenon_H169 zenon_H70. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.53/11.70 apply (zenon_L746_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.53/11.70 apply (zenon_L933_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.53/11.70 apply (zenon_L921_); trivial. % 11.53/11.70 apply (zenon_L172_); trivial. % 11.53/11.70 (* end of lemma zenon_L934_ *) % 11.53/11.70 assert (zenon_L935_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (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 (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (op (e2) (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) (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 (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.53/11.70 do 0 intro. intros zenon_H1da zenon_He8 zenon_H82 zenon_Ha5 zenon_H104 zenon_H1de zenon_H1a4 zenon_H24a zenon_H295 zenon_H180 zenon_H13e zenon_H183 zenon_H131 zenon_H232 zenon_H149 zenon_Hab zenon_H1f3 zenon_H3f zenon_H2b zenon_H286 zenon_Hfe zenon_H157 zenon_H1d7 zenon_H33 zenon_H172 zenon_H99 zenon_H1d4 zenon_Hf3 zenon_Hae zenon_H1fc zenon_Ha8 zenon_H1d1 zenon_H169 zenon_H6f zenon_Hcc zenon_H127 zenon_H1ce. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.70 apply (zenon_L67_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.70 apply (zenon_L155_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.70 apply (zenon_L410_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H35 | zenon_intro zenon_H184 ]. % 11.53/11.70 apply (zenon_L123_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H54 | zenon_intro zenon_H185 ]. % 11.53/11.70 apply (zenon_L934_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfd ]. % 11.53/11.70 apply (zenon_L316_); trivial. % 11.53/11.70 apply (zenon_L168_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.53/11.70 apply (zenon_L642_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.53/11.70 apply (zenon_L170_); trivial. % 11.53/11.70 apply (zenon_L175_); trivial. % 11.53/11.70 (* end of lemma zenon_L935_ *) % 11.53/11.70 assert (zenon_L936_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H252 zenon_H33 zenon_H34 zenon_H10c zenon_H5f zenon_Hec zenon_H140 zenon_H82 zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.70 apply (zenon_L8_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.70 apply (zenon_L208_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.70 apply (zenon_L97_); trivial. % 11.53/11.70 apply (zenon_L410_); trivial. % 11.53/11.70 (* end of lemma zenon_L936_ *) % 11.53/11.70 assert (zenon_L937_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H24e zenon_H35 zenon_H5f zenon_H11a zenon_H109 zenon_H140 zenon_Hfe zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.70 apply (zenon_L229_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.70 apply (zenon_L286_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.70 apply (zenon_L106_); trivial. % 11.53/11.70 apply (zenon_L87_); trivial. % 11.53/11.70 (* end of lemma zenon_L937_ *) % 11.53/11.70 assert (zenon_L938_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H252 zenon_Hfe zenon_H109 zenon_H11a zenon_H5f zenon_H24e zenon_H2b zenon_H58 zenon_Hec zenon_H140 zenon_H82 zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.70 apply (zenon_L937_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.70 apply (zenon_L302_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.70 apply (zenon_L97_); trivial. % 11.53/11.70 apply (zenon_L410_); trivial. % 11.53/11.70 (* end of lemma zenon_L938_ *) % 11.53/11.70 assert (zenon_L939_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H252 zenon_H109 zenon_H11a zenon_H5f zenon_H2b zenon_H58 zenon_Hfe zenon_H140 zenon_H183 zenon_H180 zenon_H5e zenon_H27c zenon_H53 zenon_H104 zenon_H295 zenon_H24e zenon_H82 zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.70 apply (zenon_L937_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.70 apply (zenon_L302_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.70 apply (zenon_L931_); trivial. % 11.53/11.70 apply (zenon_L410_); trivial. % 11.53/11.70 (* end of lemma zenon_L939_ *) % 11.53/11.70 assert (zenon_L940_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H1e1 zenon_H17b zenon_H149 zenon_Hab zenon_H1f3 zenon_H3f zenon_H2b zenon_H286 zenon_H157 zenon_H1d7 zenon_H33 zenon_H172 zenon_Hcc zenon_H99 zenon_H1d4 zenon_Hf3 zenon_Hae zenon_H1fc zenon_Hfe zenon_H68 zenon_H295 zenon_H24e zenon_H69 zenon_H140 zenon_Ha8 zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.53/11.70 apply (zenon_L921_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.53/11.70 apply (zenon_L927_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.53/11.70 apply (zenon_L239_); trivial. % 11.53/11.70 apply (zenon_L170_); trivial. % 11.53/11.70 (* end of lemma zenon_L940_ *) % 11.53/11.70 assert (zenon_L941_ : (((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 (e2) (op (e2) (e3))) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (op (e2) (e1))) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H17d zenon_H1e1 zenon_H149 zenon_Hab zenon_H1f3 zenon_H3f zenon_H2b zenon_H286 zenon_H157 zenon_H1d7 zenon_H33 zenon_H172 zenon_Hcc zenon_H99 zenon_H1d4 zenon_Hf3 zenon_Hae zenon_H1fc zenon_Hfe zenon_H68 zenon_H295 zenon_H24e zenon_H69 zenon_H140 zenon_Ha8 zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.53/11.70 apply (zenon_L914_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.53/11.70 apply (zenon_L22_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.53/11.70 apply (zenon_L239_); trivial. % 11.53/11.70 apply (zenon_L940_); trivial. % 11.53/11.70 (* end of lemma zenon_L941_ *) % 11.53/11.70 assert (zenon_L942_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (op (e0) (e1))) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (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) (op (e2) (e1))) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (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) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (op (e2) (e3))) = (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))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H7e zenon_H82 zenon_H104 zenon_H53 zenon_H27c zenon_H180 zenon_H183 zenon_H58 zenon_H5f zenon_H11a zenon_H109 zenon_H252 zenon_H10d zenon_H1de zenon_H1a4 zenon_H127 zenon_Ha8 zenon_H140 zenon_H24e zenon_H295 zenon_H68 zenon_Hfe zenon_H1fc zenon_Hae zenon_Hf3 zenon_H1d4 zenon_H99 zenon_H172 zenon_H33 zenon_H1d7 zenon_H157 zenon_H286 zenon_H2b zenon_H3f zenon_H1f3 zenon_Hab zenon_H149 zenon_H1e1 zenon_H17d zenon_Hcc zenon_Hed. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.70 apply (zenon_L939_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.70 apply (zenon_L932_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.70 apply (zenon_L941_); trivial. % 11.53/11.70 apply (zenon_L173_); trivial. % 11.53/11.70 (* end of lemma zenon_L942_ *) % 11.53/11.70 assert (zenon_L943_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((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 (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.53/11.70 do 0 intro. intros zenon_H1da zenon_He8 zenon_H2b zenon_H33 zenon_H172 zenon_H82 zenon_Ha5 zenon_H125 zenon_H5c zenon_Ha8 zenon_H1d1 zenon_H169 zenon_H6f zenon_Hcc zenon_H127 zenon_H1ce. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.70 apply (zenon_L67_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.70 apply (zenon_L155_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.70 apply (zenon_L410_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.53/11.70 apply (zenon_L150_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.53/11.70 apply (zenon_L642_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.53/11.70 apply (zenon_L170_); trivial. % 11.53/11.70 apply (zenon_L175_); trivial. % 11.53/11.70 (* end of lemma zenon_L943_ *) % 11.53/11.70 assert (zenon_L944_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H24e zenon_H54 zenon_H68 zenon_H11a zenon_H109 zenon_H140 zenon_Hfe zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.70 apply (zenon_L71_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.70 apply (zenon_L286_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.70 apply (zenon_L106_); trivial. % 11.53/11.70 apply (zenon_L87_); trivial. % 11.53/11.70 (* end of lemma zenon_L944_ *) % 11.53/11.70 assert (zenon_L945_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (op (e2) (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) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H156 zenon_H10d zenon_Hd8 zenon_H82 zenon_H24a zenon_H104 zenon_H295 zenon_H1de zenon_H180 zenon_H183 zenon_H131 zenon_H1a4 zenon_H232 zenon_H149 zenon_Hab zenon_H1f3 zenon_H3f zenon_H2b zenon_H286 zenon_Ha8 zenon_H157 zenon_H1d7 zenon_H33 zenon_H172 zenon_Hcc zenon_H99 zenon_H1d4 zenon_Hf3 zenon_Hae zenon_H1fc zenon_H169 zenon_H70 zenon_H5f zenon_H34 zenon_H252 zenon_H24e zenon_H54 zenon_H68 zenon_H109 zenon_H140 zenon_Hfe zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.70 apply (zenon_L196_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.70 apply (zenon_L908_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.70 apply (zenon_L8_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.70 apply (zenon_L208_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.70 apply (zenon_L934_); trivial. % 11.53/11.70 apply (zenon_L410_); trivial. % 11.53/11.70 apply (zenon_L944_); trivial. % 11.53/11.70 (* end of lemma zenon_L945_ *) % 11.53/11.70 assert (zenon_L946_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H24e zenon_H54 zenon_H55 zenon_H68 zenon_H140 zenon_Hfe zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.70 apply (zenon_L71_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.70 apply (zenon_L245_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.70 apply (zenon_L106_); trivial. % 11.53/11.70 apply (zenon_L87_); trivial. % 11.53/11.70 (* end of lemma zenon_L946_ *) % 11.53/11.70 assert (zenon_L947_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (op (e0) (e2))) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H24e zenon_H295 zenon_H8a zenon_H5f zenon_H140 zenon_Hfe zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.70 apply (zenon_L461_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.70 apply (zenon_L208_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.70 apply (zenon_L106_); trivial. % 11.53/11.70 apply (zenon_L87_); trivial. % 11.53/11.70 (* end of lemma zenon_L947_ *) % 11.53/11.70 assert (zenon_L948_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H252 zenon_Hf0 zenon_H5f zenon_H2b zenon_H58 zenon_Hec zenon_H140 zenon_H82 zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.70 apply (zenon_L229_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.70 apply (zenon_L302_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.70 apply (zenon_L97_); trivial. % 11.53/11.70 apply (zenon_L410_); trivial. % 11.53/11.70 (* end of lemma zenon_L948_ *) % 11.53/11.70 assert (zenon_L949_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H252 zenon_Hf0 zenon_H5f zenon_H10d zenon_H88 zenon_Hec zenon_H140 zenon_H82 zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.70 apply (zenon_L229_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.70 apply (zenon_L213_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.70 apply (zenon_L97_); trivial. % 11.53/11.70 apply (zenon_L410_); trivial. % 11.53/11.70 (* end of lemma zenon_L949_ *) % 11.53/11.70 assert (zenon_L950_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H206 zenon_He8 zenon_Hb5 zenon_H44 zenon_Hd5 zenon_He4 zenon_Hec zenon_H11a zenon_H96. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H2b | zenon_intro zenon_H207 ]. % 11.53/11.70 apply (zenon_L67_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H59 | zenon_intro zenon_H208 ]. % 11.53/11.70 apply (zenon_L112_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H81 ]. % 11.53/11.70 apply (zenon_L74_); trivial. % 11.53/11.70 apply (zenon_L206_); trivial. % 11.53/11.70 (* end of lemma zenon_L950_ *) % 11.53/11.70 assert (zenon_L951_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.53/11.70 do 0 intro. intros zenon_H243 zenon_Hf0 zenon_H1de zenon_H96 zenon_He4 zenon_Hd5 zenon_H44 zenon_Hb5 zenon_He8 zenon_H206 zenon_Hec zenon_H186 zenon_H1c5. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H244 ]. % 11.53/11.70 apply (zenon_L316_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H11a | zenon_intro zenon_H245 ]. % 11.53/11.70 apply (zenon_L950_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H167 | zenon_intro zenon_H11b ]. % 11.53/11.70 apply (zenon_L146_); trivial. % 11.53/11.70 exact (zenon_H1c5 zenon_H11b). % 11.53/11.70 (* end of lemma zenon_L951_ *) % 11.53/11.70 assert (zenon_L952_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H252 zenon_Hf0 zenon_H5f zenon_H3f zenon_H55 zenon_Hec zenon_H140 zenon_H82 zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.70 apply (zenon_L229_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.70 apply (zenon_L29_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.70 apply (zenon_L97_); trivial. % 11.53/11.70 apply (zenon_L410_); trivial. % 11.53/11.70 (* end of lemma zenon_L952_ *) % 11.53/11.70 assert (zenon_L953_ : (((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 (e3) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H2ae zenon_Hb5 zenon_H169 zenon_Ha2 zenon_Ha1 zenon_H1c5 zenon_H131 zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H16a | zenon_intro zenon_H2af ]. % 11.53/11.70 apply (zenon_L110_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H2b0 ]. % 11.53/11.70 apply (zenon_L36_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H11b | zenon_intro zenon_H132 ]. % 11.53/11.70 exact (zenon_H1c5 zenon_H11b). % 11.53/11.70 apply (zenon_L91_); trivial. % 11.53/11.70 (* end of lemma zenon_L953_ *) % 11.53/11.70 assert (zenon_L954_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e2)) = (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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.70 do 0 intro. intros zenon_H29f zenon_H4f zenon_H58 zenon_H135 zenon_H26d zenon_H119 zenon_H252 zenon_H5f zenon_Hec zenon_H140 zenon_H82 zenon_H243 zenon_H1de zenon_He4 zenon_Hd5 zenon_He8 zenon_H206 zenon_H186 zenon_H23f zenon_He5 zenon_H3f zenon_H33 zenon_Hf0 zenon_H68 zenon_H2ae zenon_H169 zenon_Ha1 zenon_H1c5 zenon_H131 zenon_H127. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.70 apply (zenon_L14_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.70 apply (zenon_L948_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.70 apply (zenon_L94_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.70 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.70 apply (zenon_L283_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.70 apply (zenon_L951_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.70 apply (zenon_L952_); trivial. % 11.53/11.70 apply (zenon_L928_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.70 apply (zenon_L10_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.70 apply (zenon_L71_); trivial. % 11.53/11.70 apply (zenon_L953_); trivial. % 11.53/11.70 (* end of lemma zenon_L954_ *) % 11.53/11.70 assert (zenon_L955_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False). % 11.53/11.70 do 0 intro. intros zenon_H157 zenon_Hfe zenon_Hec zenon_H82 zenon_H13b zenon_H286 zenon_H127 zenon_H149. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.53/11.70 apply (zenon_L93_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.53/11.70 apply (zenon_L95_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.53/11.70 apply (zenon_L446_); trivial. % 11.53/11.70 apply (zenon_L100_); trivial. % 11.53/11.70 (* end of lemma zenon_L955_ *) % 11.53/11.70 assert (zenon_L956_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False). % 11.53/11.70 do 0 intro. intros zenon_H157 zenon_H144 zenon_Hd3 zenon_Hae zenon_H286 zenon_H127 zenon_H149. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.53/11.70 apply (zenon_L222_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.53/11.70 apply (zenon_L199_); trivial. % 11.53/11.70 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.53/11.70 apply (zenon_L446_); trivial. % 11.53/11.70 apply (zenon_L100_); trivial. % 11.53/11.70 (* end of lemma zenon_L956_ *) % 11.53/11.70 assert (zenon_L957_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False). % 11.53/11.71 do 0 intro. intros zenon_H146 zenon_H135 zenon_H82 zenon_Hfe zenon_Hec zenon_H140 zenon_H157 zenon_Hd3 zenon_Hae zenon_H286 zenon_H127 zenon_H149. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.53/11.71 apply (zenon_L94_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.53/11.71 apply (zenon_L955_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.53/11.71 apply (zenon_L97_); trivial. % 11.53/11.71 apply (zenon_L956_); trivial. % 11.53/11.71 (* end of lemma zenon_L957_ *) % 11.53/11.71 assert (zenon_L958_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.53/11.71 do 0 intro. intros zenon_H1c8 zenon_H1f zenon_H149 zenon_H286 zenon_Hae zenon_H157 zenon_H140 zenon_Hec zenon_Hfe zenon_H82 zenon_H135 zenon_H146 zenon_H104 zenon_H127 zenon_Ha2 zenon_Ha8. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.71 apply (zenon_L351_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.71 apply (zenon_L957_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.71 apply (zenon_L168_); trivial. % 11.53/11.71 apply (zenon_L88_); trivial. % 11.53/11.71 (* end of lemma zenon_L958_ *) % 11.53/11.71 assert (zenon_L959_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> False). % 11.53/11.71 do 0 intro. intros zenon_H157 zenon_H144 zenon_H17b zenon_H286 zenon_H127 zenon_H149. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.53/11.71 apply (zenon_L222_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.53/11.71 apply (zenon_L480_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.53/11.71 apply (zenon_L446_); trivial. % 11.53/11.71 apply (zenon_L100_); trivial. % 11.53/11.71 (* end of lemma zenon_L959_ *) % 11.53/11.71 assert (zenon_L960_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.53/11.71 do 0 intro. intros zenon_H1d1 zenon_H1aa zenon_Hcc zenon_Ha3 zenon_H169 zenon_Hec zenon_H125 zenon_H127 zenon_H1ce. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1d2 ]. % 11.53/11.71 apply (zenon_L219_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H70 | zenon_intro zenon_H1d3 ]. % 11.53/11.71 apply (zenon_L172_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_Hed | zenon_intro zenon_Ha9 ]. % 11.53/11.71 apply (zenon_L86_); trivial. % 11.53/11.71 apply (zenon_L174_); trivial. % 11.53/11.71 (* end of lemma zenon_L960_ *) % 11.53/11.71 assert (zenon_L961_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((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 (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (op (e2) (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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e2)) = (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) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.53/11.71 do 0 intro. intros zenon_H20f zenon_Ha1 zenon_H68 zenon_Hf0 zenon_H3f zenon_He5 zenon_H23f zenon_H186 zenon_H206 zenon_He8 zenon_He4 zenon_H1de zenon_H243 zenon_H5f zenon_H252 zenon_H26d zenon_H58 zenon_H4f zenon_H29f zenon_H10d zenon_H8a zenon_H19b zenon_H81 zenon_Hd5 zenon_H1ce zenon_H125 zenon_Hec zenon_H169 zenon_Hcc zenon_H1d1 zenon_H157 zenon_H286 zenon_H149 zenon_H2ae zenon_H1cc zenon_H119 zenon_H1c5 zenon_H131 zenon_H1c8 zenon_H1f zenon_Hae zenon_H140 zenon_Hfe zenon_H82 zenon_H135 zenon_H146 zenon_H104 zenon_Ha8 zenon_H24a zenon_H127 zenon_H1d4. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.71 apply (zenon_L954_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.71 apply (zenon_L213_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.71 apply (zenon_L955_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.71 apply (zenon_L957_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.71 apply (zenon_L59_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.53/11.71 apply (zenon_L94_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.53/11.71 apply (zenon_L95_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.53/11.71 apply (zenon_L97_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.53/11.71 apply (zenon_L958_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.53/11.71 apply (zenon_L929_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.53/11.71 apply (zenon_L959_); trivial. % 11.53/11.71 apply (zenon_L960_); trivial. % 11.53/11.71 apply (zenon_L176_); trivial. % 11.53/11.71 (* end of lemma zenon_L961_ *) % 11.53/11.71 assert (zenon_L962_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((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 (e2) (op (e2) (e2))) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False). % 11.53/11.71 do 0 intro. intros zenon_H146 zenon_H135 zenon_H149 zenon_H127 zenon_H286 zenon_H82 zenon_Hfe zenon_H157 zenon_Hec zenon_H140 zenon_H12c zenon_H8d. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.53/11.71 apply (zenon_L94_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.53/11.71 apply (zenon_L955_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.53/11.71 apply (zenon_L97_); trivial. % 11.53/11.71 apply (zenon_L98_); trivial. % 11.53/11.71 (* end of lemma zenon_L962_ *) % 11.53/11.71 assert (zenon_L963_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((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 (e2) (op (e2) (e2))) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.53/11.71 do 0 intro. intros zenon_H146 zenon_H135 zenon_H149 zenon_H127 zenon_H286 zenon_H82 zenon_Hfe zenon_H157 zenon_Hec zenon_H140 zenon_H1a3 zenon_H38. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.53/11.71 apply (zenon_L94_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.53/11.71 apply (zenon_L955_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.53/11.71 apply (zenon_L97_); trivial. % 11.53/11.71 apply (zenon_L354_); trivial. % 11.53/11.71 (* end of lemma zenon_L963_ *) % 11.53/11.71 assert (zenon_L964_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (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))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e0) (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))))) -> (~((op (e1) (e3)) = (op (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) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((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 (e2) (op (e2) (e2))) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.53/11.71 do 0 intro. intros zenon_H2ab zenon_H1ce zenon_Hc7 zenon_H1d4 zenon_H24a zenon_Ha8 zenon_H104 zenon_Hae zenon_H1c8 zenon_H1cc zenon_H1d1 zenon_Hcc zenon_H125 zenon_H19b zenon_H10d zenon_H20f zenon_H12c zenon_H262 zenon_H131 zenon_H1c5 zenon_Ha1 zenon_H169 zenon_H2ae zenon_H68 zenon_H3f zenon_He5 zenon_H23f zenon_H186 zenon_H206 zenon_He8 zenon_Hd5 zenon_He4 zenon_H1de zenon_H243 zenon_H252 zenon_H119 zenon_H26d zenon_H58 zenon_H4f zenon_H29f zenon_Hf0 zenon_H5f zenon_H146 zenon_H135 zenon_H149 zenon_H127 zenon_H286 zenon_H82 zenon_Hfe zenon_H157 zenon_Hec zenon_H140 zenon_H1a3. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.71 apply (zenon_L351_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.71 apply (zenon_L948_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.71 apply (zenon_L949_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.71 apply (zenon_L961_); trivial. % 11.53/11.71 apply (zenon_L962_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.71 apply (zenon_L93_); trivial. % 11.53/11.71 apply (zenon_L174_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.71 apply (zenon_L954_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.71 apply (zenon_L229_); trivial. % 11.53/11.71 apply (zenon_L963_); trivial. % 11.53/11.71 (* end of lemma zenon_L964_ *) % 11.53/11.71 assert (zenon_L965_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (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 (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((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)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (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 (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.53/11.71 do 0 intro. intros zenon_H1a0 zenon_H1f3 zenon_H59 zenon_H1a3 zenon_H140 zenon_H157 zenon_Hfe zenon_H82 zenon_H286 zenon_H127 zenon_H149 zenon_H135 zenon_H146 zenon_Hf0 zenon_H29f zenon_H4f zenon_H58 zenon_H26d zenon_H119 zenon_H252 zenon_H243 zenon_H1de zenon_He4 zenon_Hd5 zenon_He8 zenon_H206 zenon_H186 zenon_H23f zenon_He5 zenon_H3f zenon_H68 zenon_H2ae zenon_H169 zenon_Ha1 zenon_H1c5 zenon_H131 zenon_H262 zenon_H12c zenon_H20f zenon_H10d zenon_H19b zenon_H125 zenon_Hcc zenon_H1d1 zenon_H1cc zenon_H1c8 zenon_Hae zenon_H104 zenon_Ha8 zenon_H24a zenon_H1d4 zenon_Hc7 zenon_H1ce zenon_H2ab zenon_Hb5 zenon_H5f. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.71 apply (zenon_L278_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.71 apply (zenon_L113_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.71 apply (zenon_L964_); trivial. % 11.53/11.71 apply (zenon_L69_); trivial. % 11.53/11.71 (* end of lemma zenon_L965_ *) % 11.53/11.71 assert (zenon_L966_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (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))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e0) (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))))) -> (~((op (e1) (e3)) = (op (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) (e0)) = (op (e0) (e1)))) -> (((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 (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.71 do 0 intro. intros zenon_H24e zenon_H5f zenon_Hb5 zenon_H2ab zenon_H1ce zenon_Hc7 zenon_H1d4 zenon_H24a zenon_Ha8 zenon_H104 zenon_Hae zenon_H1c8 zenon_H1cc zenon_H1d1 zenon_Hcc zenon_H125 zenon_H19b zenon_H10d zenon_H20f zenon_H12c zenon_H262 zenon_H131 zenon_H1c5 zenon_Ha1 zenon_H169 zenon_H2ae zenon_H68 zenon_H3f zenon_He5 zenon_H23f zenon_H186 zenon_H206 zenon_He8 zenon_Hd5 zenon_He4 zenon_H1de zenon_H243 zenon_H252 zenon_H119 zenon_H26d zenon_H58 zenon_H4f zenon_H29f zenon_H146 zenon_H135 zenon_H149 zenon_H286 zenon_H82 zenon_H157 zenon_H1a3 zenon_H59 zenon_H1f3 zenon_H1a0 zenon_H14f zenon_H140 zenon_Hfe zenon_H127. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.71 apply (zenon_L965_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.71 apply (zenon_L101_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.71 apply (zenon_L106_); trivial. % 11.53/11.71 apply (zenon_L87_); trivial. % 11.53/11.71 (* end of lemma zenon_L966_ *) % 11.53/11.71 assert (zenon_L967_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (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))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e0) (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))))) -> (~((op (e1) (e3)) = (op (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) (e0)) = (op (e0) (e1)))) -> (((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 (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.71 do 0 intro. intros zenon_H38 zenon_H3e zenon_H24e zenon_H5f zenon_H2ab zenon_H1ce zenon_Hc7 zenon_H1d4 zenon_H24a zenon_Ha8 zenon_H104 zenon_Hae zenon_H1c8 zenon_H1cc zenon_H1d1 zenon_Hcc zenon_H125 zenon_H19b zenon_H10d zenon_H20f zenon_H12c zenon_H262 zenon_H131 zenon_H1c5 zenon_Ha1 zenon_H169 zenon_H2ae zenon_H68 zenon_H3f zenon_He5 zenon_H23f zenon_H186 zenon_H206 zenon_He8 zenon_Hd5 zenon_He4 zenon_H1de zenon_H243 zenon_H252 zenon_H119 zenon_H26d zenon_H58 zenon_H4f zenon_H29f zenon_H146 zenon_H135 zenon_H149 zenon_H286 zenon_H82 zenon_H157 zenon_H1a3 zenon_H59 zenon_H1f3 zenon_H1a0 zenon_H14f zenon_H140 zenon_Hfe zenon_H127. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.71 apply (zenon_L647_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.71 apply (zenon_L44_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.71 apply (zenon_L94_); trivial. % 11.53/11.71 apply (zenon_L966_); trivial. % 11.53/11.71 (* end of lemma zenon_L967_ *) % 11.53/11.71 assert (zenon_L968_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (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)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (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 (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> ((op (e2) (e3)) = (e0)) -> False). % 11.53/11.71 do 0 intro. intros zenon_H18f zenon_H59 zenon_H1d4 zenon_H127 zenon_H24a zenon_Ha8 zenon_H104 zenon_H146 zenon_H135 zenon_H82 zenon_Hfe zenon_H140 zenon_Hae zenon_H1f zenon_H1c8 zenon_H131 zenon_H1c5 zenon_H119 zenon_H1cc zenon_H2ae zenon_H286 zenon_H157 zenon_H1d1 zenon_Hcc zenon_H169 zenon_H125 zenon_H1ce zenon_Hd5 zenon_H81 zenon_H19b zenon_H8a zenon_H10d zenon_H29f zenon_H4f zenon_H58 zenon_H26d zenon_H252 zenon_H5f zenon_H243 zenon_H1de zenon_He4 zenon_He8 zenon_H206 zenon_H186 zenon_H23f zenon_He5 zenon_H3f zenon_Hf0 zenon_H68 zenon_Ha1 zenon_H20f zenon_H149 zenon_H144. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H5b | zenon_intro zenon_H190 ]. % 11.53/11.71 apply (zenon_L94_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H5c | zenon_intro zenon_H191 ]. % 11.53/11.71 apply (zenon_L65_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hec | zenon_intro zenon_H93 ]. % 11.53/11.71 apply (zenon_L961_); trivial. % 11.53/11.71 apply (zenon_L222_); trivial. % 11.53/11.71 (* end of lemma zenon_L968_ *) % 11.53/11.71 assert (zenon_L969_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((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 (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((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)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e2)) = (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) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False). % 11.53/11.71 do 0 intro. intros zenon_H114 zenon_H144 zenon_H149 zenon_H20f zenon_Ha1 zenon_H68 zenon_H3f zenon_He5 zenon_H23f zenon_H186 zenon_H206 zenon_He8 zenon_He4 zenon_H1de zenon_H243 zenon_H5f zenon_H252 zenon_H26d zenon_H4f zenon_H29f zenon_H10d zenon_H19b zenon_H81 zenon_Hd5 zenon_H1ce zenon_H125 zenon_H169 zenon_Hcc zenon_H1d1 zenon_H157 zenon_H286 zenon_H2ae zenon_H1cc zenon_H119 zenon_H1c5 zenon_H131 zenon_H1c8 zenon_H1f zenon_Hae zenon_H140 zenon_Hfe zenon_H82 zenon_H135 zenon_H146 zenon_H104 zenon_Ha8 zenon_H24a zenon_H1d4 zenon_H18f zenon_H59 zenon_H58 zenon_H53 zenon_Hf0 zenon_H127 zenon_H9d. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H8a | zenon_intro zenon_H115 ]. % 11.53/11.71 apply (zenon_L968_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H55 | zenon_intro zenon_H116 ]. % 11.53/11.71 apply (zenon_L16_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H10c | zenon_intro zenon_Hc0 ]. % 11.53/11.71 apply (zenon_L92_); trivial. % 11.53/11.71 apply (zenon_L179_); trivial. % 11.53/11.71 (* end of lemma zenon_L969_ *) % 11.53/11.71 assert (zenon_L970_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (((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) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (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 (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((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 (e3) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((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)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (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) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e0)) -> False). % 11.53/11.71 do 0 intro. intros zenon_H16c zenon_Hfe zenon_H140 zenon_H1a0 zenon_H1f3 zenon_H1a3 zenon_H157 zenon_H82 zenon_H286 zenon_H135 zenon_H146 zenon_H29f zenon_H4f zenon_H26d zenon_H119 zenon_H252 zenon_H243 zenon_H1de zenon_He4 zenon_Hd5 zenon_He8 zenon_H206 zenon_H186 zenon_H23f zenon_He5 zenon_H3f zenon_H2ae zenon_H169 zenon_Ha1 zenon_H1c5 zenon_H131 zenon_H262 zenon_H12c zenon_H20f zenon_H19b zenon_H125 zenon_Hcc zenon_H1d1 zenon_H1c8 zenon_Hae zenon_H104 zenon_Ha8 zenon_H24a zenon_H1d4 zenon_Hc7 zenon_H1ce zenon_H2ab zenon_H24e zenon_H3e zenon_H5f zenon_H14f zenon_H114 zenon_H109 zenon_H59 zenon_H58 zenon_H10d zenon_H127 zenon_H9d zenon_H68 zenon_H156 zenon_H93 zenon_H149 zenon_H1cc zenon_H1aa. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H38 | zenon_intro zenon_H16d ]. % 11.53/11.71 apply (zenon_L967_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8d | zenon_intro zenon_H16e ]. % 11.53/11.71 apply (zenon_L181_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H144 | zenon_intro zenon_H16a ]. % 11.53/11.71 apply (zenon_L222_); trivial. % 11.53/11.71 apply (zenon_L171_); trivial. % 11.53/11.71 (* end of lemma zenon_L970_ *) % 11.53/11.71 assert (zenon_L971_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((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)) = (e2))) -> (~((op (e0) (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))))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e0) (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))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((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 (e2) (op (e2) (e0))) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((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 (e0) (e1)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.53/11.71 do 0 intro. intros zenon_H1da zenon_Hf0 zenon_H149 zenon_H93 zenon_H156 zenon_H68 zenon_H9d zenon_H10d zenon_H58 zenon_H59 zenon_H109 zenon_H114 zenon_H14f zenon_H5f zenon_H24e zenon_H2ab zenon_H1ce zenon_Hc7 zenon_H24a zenon_Ha8 zenon_H104 zenon_Hae zenon_H1c8 zenon_H1d1 zenon_H125 zenon_H19b zenon_H20f zenon_H12c zenon_H262 zenon_H131 zenon_H1c5 zenon_Ha1 zenon_H169 zenon_H2ae zenon_H3f zenon_He5 zenon_H23f zenon_H186 zenon_H206 zenon_He8 zenon_Hd5 zenon_He4 zenon_H1de zenon_H243 zenon_H252 zenon_H119 zenon_H26d zenon_H4f zenon_H29f zenon_H146 zenon_H135 zenon_H286 zenon_H157 zenon_H1a3 zenon_H1f3 zenon_H1a0 zenon_H140 zenon_Hfe zenon_H16c zenon_H82 zenon_H1d7 zenon_H1cc zenon_H172 zenon_H3e zenon_Hed zenon_Hcc zenon_H127 zenon_H1d4. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.71 apply (zenon_L965_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.71 apply (zenon_L970_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.71 apply (zenon_L410_); trivial. % 11.53/11.71 apply (zenon_L582_); trivial. % 11.53/11.71 (* end of lemma zenon_L971_ *) % 11.53/11.71 assert (zenon_L972_ : ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (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))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (op (e2) (e0))) = (e0))) -> (((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) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (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 (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((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 (e3) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((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)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((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) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.53/11.71 do 0 intro. intros zenon_H1f zenon_H18f zenon_H53 zenon_H1d4 zenon_Hcc zenon_H3e zenon_H172 zenon_H1cc zenon_H1d7 zenon_H82 zenon_H16c zenon_Hfe zenon_H140 zenon_H1a0 zenon_H1f3 zenon_H1a3 zenon_H157 zenon_H286 zenon_H135 zenon_H146 zenon_H29f zenon_H4f zenon_H26d zenon_H119 zenon_H252 zenon_H243 zenon_H1de zenon_He4 zenon_Hd5 zenon_He8 zenon_H206 zenon_H186 zenon_H23f zenon_He5 zenon_H3f zenon_H2ae zenon_H169 zenon_Ha1 zenon_H1c5 zenon_H131 zenon_H262 zenon_H12c zenon_H20f zenon_H19b zenon_H125 zenon_H1d1 zenon_H1c8 zenon_Hae zenon_H104 zenon_Ha8 zenon_H24a zenon_Hc7 zenon_H2ab zenon_H24e zenon_H5f zenon_H14f zenon_H114 zenon_H109 zenon_H59 zenon_H58 zenon_H10d zenon_H9d zenon_H68 zenon_H156 zenon_H149 zenon_Hf0 zenon_H1da zenon_H127 zenon_H1ce. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.71 apply (zenon_L278_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.71 apply (zenon_L113_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.71 apply (zenon_L964_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.71 apply (zenon_L351_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H38 | zenon_intro zenon_H16d ]. % 11.53/11.71 apply (zenon_L967_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8d | zenon_intro zenon_H16e ]. % 11.53/11.71 apply (zenon_L181_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H144 | zenon_intro zenon_H16a ]. % 11.53/11.71 apply (zenon_L969_); trivial. % 11.53/11.71 apply (zenon_L582_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.71 apply (zenon_L971_); trivial. % 11.53/11.71 apply (zenon_L174_); trivial. % 11.53/11.71 (* end of lemma zenon_L972_ *) % 11.53/11.71 assert (zenon_L973_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e1) (op (e1) (e2))) = (e2))) -> (~((op (e2) (op (e2) (e2))) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.71 do 0 intro. intros zenon_H24e zenon_H54 zenon_H68 zenon_H14f zenon_H140 zenon_Hfe zenon_H127. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.71 apply (zenon_L71_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.71 apply (zenon_L101_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.71 apply (zenon_L106_); trivial. % 11.53/11.71 apply (zenon_L87_); trivial. % 11.53/11.71 (* end of lemma zenon_L973_ *) % 11.53/11.71 assert (zenon_L974_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (op (e2) (e3))) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.71 do 0 intro. intros zenon_H232 zenon_H82 zenon_H38 zenon_Ha8 zenon_Hbe zenon_H149 zenon_H131 zenon_H127. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H129 | zenon_intro zenon_H233 ]. % 11.53/11.71 apply (zenon_L338_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H234 ]. % 11.53/11.71 apply (zenon_L51_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H12b | zenon_intro zenon_H132 ]. % 11.53/11.71 apply (zenon_L100_); trivial. % 11.53/11.71 apply (zenon_L91_); trivial. % 11.53/11.71 (* end of lemma zenon_L974_ *) % 11.53/11.71 assert (zenon_L975_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.53/11.71 do 0 intro. intros zenon_H1bc zenon_H127 zenon_H1d4. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_He2. zenon_intro zenon_H1bd. % 11.53/11.71 apply (zenon_L176_); trivial. % 11.53/11.71 (* end of lemma zenon_L975_ *) % 11.53/11.71 assert (zenon_L976_ : (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\((~((op (e3) (op (e3) (e0))) = (e0)))/\((~((op (e3) (op (e3) (e1))) = (e1)))/\((~((op (e3) (op (e3) (e2))) = (e2)))/\(~((op (e3) (op (e3) (e3))) = (e3)))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.53/11.71 do 0 intro. intros zenon_H1ec zenon_H131 zenon_H127. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H132. zenon_intro zenon_H1ed. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H132. zenon_intro zenon_H1be. % 11.53/11.71 apply (zenon_L91_); trivial. % 11.53/11.71 (* end of lemma zenon_L976_ *) % 11.53/11.71 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H2b2. zenon_intro zenon_H2b1. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H176. zenon_intro zenon_H2b3. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H183. zenon_intro zenon_H2b4. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H2a4. zenon_intro zenon_H2b5. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H206. zenon_intro zenon_H2b6. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H20c. zenon_intro zenon_H2b7. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H114. zenon_intro zenon_H2b8. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H120. zenon_intro zenon_H2b9. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H18f. zenon_intro zenon_H2ba. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H1fc. zenon_intro zenon_H2bb. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2a8. zenon_intro zenon_H2bc. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H247. zenon_intro zenon_H2bd. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H1d1. zenon_intro zenon_H2be. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H1d7. zenon_intro zenon_H2bf. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H283. zenon_intro zenon_H2ae. % 11.53/11.71 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H2ab. zenon_intro zenon_H2c0. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H29f. zenon_intro zenon_H2c1. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H26d. zenon_intro zenon_H2c2. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_Hab. zenon_intro zenon_H2c3. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H1a6. zenon_intro zenon_H2c4. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H1a0. zenon_intro zenon_H2c5. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H1c8. zenon_intro zenon_H2c6. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H262. zenon_intro zenon_H2c7. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_Hc7. zenon_intro zenon_H2c8. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_H20f. zenon_intro zenon_H2c9. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_He5. zenon_intro zenon_H2ca. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H19a. zenon_intro zenon_H2cb. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H156. zenon_intro zenon_H2cc. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H7e. zenon_intro zenon_H2cd. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_Hc4. zenon_intro zenon_H2ce. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H19b. zenon_intro zenon_H2cf. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H146. zenon_intro zenon_H2d0. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H252. zenon_intro zenon_H2d1. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H17d. zenon_intro zenon_H2d2. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H1e1. zenon_intro zenon_H2d3. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H276. zenon_intro zenon_H2d4. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H24e. zenon_intro zenon_H2d5. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H157. zenon_intro zenon_H2d6. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H23b. zenon_intro zenon_H2d7. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H1da. zenon_intro zenon_H2d8. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H16c. zenon_intro zenon_H2d9. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha5. zenon_intro zenon_H2da. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H24a. zenon_intro zenon_H2db. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H11f. zenon_intro zenon_H2dc. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H243. zenon_intro zenon_H2dd. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H236. zenon_intro zenon_H232. % 11.53/11.71 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H23f. zenon_intro zenon_H2de. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H27a. zenon_intro zenon_H2df. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H95. zenon_intro zenon_H2e0. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_He4. zenon_intro zenon_H2e1. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_He8. zenon_intro zenon_H2e2. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H125. zenon_intro zenon_H2e3. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H87. zenon_intro zenon_H2e4. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_Hae. zenon_intro zenon_H2e5. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H172. zenon_intro zenon_H2e6. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H1f8. zenon_intro zenon_H2e7. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H20a. zenon_intro zenon_H2e8. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H99. zenon_intro zenon_H2e9. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H53. zenon_intro zenon_H2ea. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H180. zenon_intro zenon_H2eb. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H104. zenon_intro zenon_H2ec. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H111. zenon_intro zenon_H2ed. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H9d. zenon_intro zenon_H2ee. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H286. zenon_intro zenon_H2ef. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H117. zenon_intro zenon_H2f0. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H1a3. zenon_intro zenon_H2f1. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_Ha1. zenon_intro zenon_H2f2. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H12c. zenon_intro zenon_H2f3. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H119. zenon_intro zenon_H2f4. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H246. zenon_intro zenon_H2f5. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H4f. zenon_intro zenon_H2f6. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H1f3. zenon_intro zenon_H2f7. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H260. zenon_intro zenon_H2f8. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H34. zenon_intro zenon_H2f9. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H39. zenon_intro zenon_H2fa. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H1de. zenon_intro zenon_H2fb. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_Hd5. zenon_intro zenon_H2fc. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H58. zenon_intro zenon_H2fd. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_Hce. zenon_intro zenon_H2fe. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H10d. zenon_intro zenon_H2ff. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H241. zenon_intro zenon_H300. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H109. zenon_intro zenon_H301. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_Hb2. zenon_intro zenon_H302. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H22e. zenon_intro zenon_H303. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H186. zenon_intro zenon_H304. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H1e0. zenon_intro zenon_H305. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H192. zenon_intro zenon_H306. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H273. zenon_intro zenon_H307. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_Hcc. zenon_intro zenon_H308. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H1ce. zenon_intro zenon_H309. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H169. zenon_intro zenon_H30a. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H1d4. zenon_intro zenon_H30b. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H1cc. zenon_intro zenon_H131. % 11.53/11.71 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H3f. zenon_intro zenon_H30c. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H5f. zenon_intro zenon_H30d. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H82. zenon_intro zenon_H30e. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H68. zenon_intro zenon_H30f. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Ha8. zenon_intro zenon_Hfe. % 11.53/11.71 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H311. zenon_intro zenon_H310. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H313 | zenon_intro zenon_H312 ]. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H1f. zenon_intro zenon_H314. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H20. zenon_intro zenon_H27. % 11.53/11.71 exact (zenon_H20 zenon_H1f). % 11.53/11.71 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H316 | zenon_intro zenon_H315 ]. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H33. zenon_intro zenon_H317. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H200. zenon_intro zenon_H4c. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H14f. zenon_intro zenon_H8c. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H25 | zenon_intro zenon_H318 ]. % 11.53/11.71 apply (zenon_L4_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H31 | zenon_intro zenon_H319 ]. % 11.53/11.71 apply (zenon_L7_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H31a ]. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H35. zenon_intro zenon_H1f1. % 11.53/11.71 apply (zenon_L8_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H25e | zenon_intro zenon_H31b ]. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H38. zenon_intro zenon_H25f. % 11.53/11.71 apply (zenon_L9_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H293 | zenon_intro zenon_H31c ]. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H59. zenon_intro zenon_H294. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H3e. zenon_intro zenon_H4c. % 11.53/11.71 apply (zenon_L10_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H4a | zenon_intro zenon_H31d ]. % 11.53/11.71 apply (zenon_L13_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H31e ]. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H55. zenon_intro zenon_H1f7. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H6a. zenon_intro zenon_H4c. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H14f. zenon_intro zenon_H8c. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.71 apply (zenon_L14_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.71 apply (zenon_L6_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.71 exact (zenon_H200 zenon_H96). % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.71 apply (zenon_L10_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.71 apply (zenon_L15_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.71 exact (zenon_H200 zenon_H96). % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.71 apply (zenon_L16_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.71 apply (zenon_L17_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.71 apply (zenon_L26_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.71 apply (zenon_L27_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.71 apply (zenon_L28_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.71 apply (zenon_L29_); trivial. % 11.53/11.71 apply (zenon_L31_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.71 apply (zenon_L32_); trivial. % 11.53/11.71 apply (zenon_L39_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.71 exact (zenon_H200 zenon_H96). % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.71 apply (zenon_L40_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.71 apply (zenon_L15_); trivial. % 11.53/11.71 apply (zenon_L43_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_Hca | zenon_intro zenon_H31f ]. % 11.53/11.71 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbe. zenon_intro zenon_Hcb. % 11.53/11.71 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_H9a. zenon_intro zenon_H4c. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H14f. zenon_intro zenon_H8c. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.71 apply (zenon_L14_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.71 apply (zenon_L6_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.71 exact (zenon_H200 zenon_H96). % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.71 apply (zenon_L55_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.71 apply (zenon_L17_); trivial. % 11.53/11.71 apply (zenon_L56_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.71 exact (zenon_H200 zenon_H96). % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.71 apply (zenon_L57_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.71 apply (zenon_L6_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.71 apply (zenon_L28_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.71 apply (zenon_L58_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.71 apply (zenon_L59_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.71 apply (zenon_L62_); trivial. % 11.53/11.71 apply (zenon_L64_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.71 apply (zenon_L49_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.71 apply (zenon_L50_); trivial. % 11.53/11.71 apply (zenon_L66_); trivial. % 11.53/11.71 apply (zenon_L53_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.71 apply (zenon_L67_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.71 apply (zenon_L28_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.71 cut (((op (e1) (e0)) = (e2)) = ((op (e1) (op (e1) (e2))) = (e2))). % 11.53/11.71 intro zenon_D_pnotp. % 11.53/11.71 apply zenon_H14f. % 11.53/11.71 rewrite <- zenon_D_pnotp. % 11.53/11.71 exact zenon_Hf8. % 11.53/11.71 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.53/11.71 cut (((op (e1) (e0)) = (op (e1) (op (e1) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H320]. % 11.53/11.71 congruence. % 11.53/11.71 elim (classic ((op (e1) (op (e1) (e2))) = (op (e1) (op (e1) (e2))))); [ zenon_intro zenon_H151 | zenon_intro zenon_H152 ]. % 11.53/11.71 cut (((op (e1) (op (e1) (e2))) = (op (e1) (op (e1) (e2)))) = ((op (e1) (e0)) = (op (e1) (op (e1) (e2))))). % 11.53/11.71 intro zenon_D_pnotp. % 11.53/11.71 apply zenon_H320. % 11.53/11.71 rewrite <- zenon_D_pnotp. % 11.53/11.71 exact zenon_H151. % 11.53/11.71 cut (((op (e1) (op (e1) (e2))) = (op (e1) (op (e1) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H152]. % 11.53/11.71 cut (((op (e1) (op (e1) (e2))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H321]. % 11.53/11.71 congruence. % 11.53/11.71 cut (((op (e1) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 11.53/11.71 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.53/11.71 congruence. % 11.53/11.71 apply zenon_H29. apply refl_equal. % 11.53/11.71 exact (zenon_H209 zenon_H8a). % 11.53/11.71 apply zenon_H152. apply refl_equal. % 11.53/11.71 apply zenon_H152. apply refl_equal. % 11.53/11.71 apply zenon_H61. apply refl_equal. % 11.53/11.71 apply (zenon_L53_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.71 apply (zenon_L68_); trivial. % 11.53/11.71 apply (zenon_L69_); trivial. % 11.53/11.71 apply (zenon_L56_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H29b | zenon_intro zenon_H322 ]. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_Hec. zenon_intro zenon_H29c. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_Hf0. zenon_intro zenon_H15e. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.71 apply (zenon_L14_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.71 apply (zenon_L6_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.71 apply (zenon_L70_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.71 exact (zenon_H200 zenon_H96). % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.71 apply (zenon_L10_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.71 apply (zenon_L71_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.71 exact (zenon_H200 zenon_H96). % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.71 apply (zenon_L44_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.71 apply (zenon_L46_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.53/11.71 apply (zenon_L72_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.53/11.71 apply (zenon_L12_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.53/11.71 apply (zenon_L73_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.71 apply (zenon_L74_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.53/11.71 apply (zenon_L75_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.53/11.71 apply (zenon_L50_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.53/11.71 apply (zenon_L85_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.53/11.71 apply (zenon_L86_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.53/11.71 apply (zenon_L76_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.53/11.71 apply (zenon_L87_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H129 | zenon_intro zenon_H233 ]. % 11.53/11.71 apply (zenon_L88_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H234 ]. % 11.53/11.71 apply (zenon_L84_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H12b | zenon_intro zenon_H132 ]. % 11.53/11.71 apply (zenon_L90_); trivial. % 11.53/11.71 apply (zenon_L91_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.71 apply (zenon_L92_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.53/11.71 apply (zenon_L86_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.53/11.71 apply (zenon_L76_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.53/11.71 apply (zenon_L77_); trivial. % 11.53/11.71 apply (zenon_L83_); trivial. % 11.53/11.71 apply (zenon_L103_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.71 apply (zenon_L68_); trivial. % 11.53/11.71 apply (zenon_L42_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H15c | zenon_intro zenon_H323 ]. % 11.53/11.71 apply (zenon_L104_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H163 | zenon_intro zenon_H324 ]. % 11.53/11.71 apply (zenon_L108_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H239 | zenon_intro zenon_H325 ]. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H167. zenon_intro zenon_H23a. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H103. zenon_intro zenon_H15e. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.71 apply (zenon_L14_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.71 apply (zenon_L6_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.71 apply (zenon_L94_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.71 exact (zenon_H200 zenon_H96). % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.71 apply (zenon_L10_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.71 exact (zenon_H200 zenon_H96). % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.71 apply (zenon_L145_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.71 apply (zenon_L147_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.71 apply (zenon_L77_); trivial. % 11.53/11.71 apply (zenon_L148_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.71 apply (zenon_L149_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.71 apply (zenon_L18_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.71 apply (zenon_L71_); trivial. % 11.53/11.71 apply (zenon_L148_); trivial. % 11.53/11.71 apply (zenon_L151_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.71 exact (zenon_H200 zenon_H96). % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.71 apply (zenon_L145_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.71 apply (zenon_L147_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.71 apply (zenon_L77_); trivial. % 11.53/11.71 apply (zenon_L152_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.71 apply (zenon_L153_); trivial. % 11.53/11.71 apply (zenon_L42_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H271 | zenon_intro zenon_H326 ]. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_Ha9. zenon_intro zenon_H272. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_H129. zenon_intro zenon_H1be. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.71 apply (zenon_L14_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.71 apply (zenon_L6_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.71 exact (zenon_H200 zenon_H96). % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.71 apply (zenon_L10_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.71 exact (zenon_H200 zenon_H96). % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.71 apply (zenon_L44_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.71 apply (zenon_L46_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.71 apply (zenon_L154_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.71 apply (zenon_L155_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.71 apply (zenon_L156_); trivial. % 11.53/11.71 apply (zenon_L158_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.53/11.71 apply (zenon_L159_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.53/11.71 apply (zenon_L112_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.71 apply (zenon_L113_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.53/11.71 apply (zenon_L32_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.53/11.71 apply (zenon_L128_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.53/11.71 apply (zenon_L81_); trivial. % 11.53/11.71 apply (zenon_L160_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.71 apply (zenon_L101_); trivial. % 11.53/11.71 apply (zenon_L102_); trivial. % 11.53/11.71 apply (zenon_L161_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.71 apply (zenon_L17_); trivial. % 11.53/11.71 apply (zenon_L38_); trivial. % 11.53/11.71 apply (zenon_L88_); trivial. % 11.53/11.71 apply (zenon_L154_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H1bc | zenon_intro zenon_H327 ]. % 11.53/11.71 apply (zenon_L162_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H25c | zenon_intro zenon_H1ec ]. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H127. zenon_intro zenon_H25d. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H12b. zenon_intro zenon_H1be. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.71 apply (zenon_L14_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.71 apply (zenon_L6_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.71 exact (zenon_H200 zenon_H96). % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.71 apply (zenon_L10_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.71 exact (zenon_H200 zenon_H96). % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.71 apply (zenon_L44_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.71 apply (zenon_L46_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.71 apply (zenon_L178_); trivial. % 11.53/11.71 apply (zenon_L181_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.71 apply (zenon_L17_); trivial. % 11.53/11.71 apply (zenon_L169_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.71 exact (zenon_H200 zenon_H96). % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.71 apply (zenon_L184_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.71 apply (zenon_L17_); trivial. % 11.53/11.71 apply (zenon_L169_); trivial. % 11.53/11.71 apply (zenon_L185_); trivial. % 11.53/11.71 apply (zenon_L189_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H329 | zenon_intro zenon_H328 ]. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H35. zenon_intro zenon_H32a. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_Hd9. zenon_intro zenon_H15e. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H25 | zenon_intro zenon_H318 ]. % 11.53/11.71 apply (zenon_L4_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H31 | zenon_intro zenon_H319 ]. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32. % 11.53/11.71 apply (zenon_L8_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H31a ]. % 11.53/11.71 apply (zenon_L190_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H25e | zenon_intro zenon_H31b ]. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H38. zenon_intro zenon_H25f. % 11.53/11.71 apply (zenon_L191_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H293 | zenon_intro zenon_H31c ]. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H59. zenon_intro zenon_H294. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H3e. zenon_intro zenon_H4c. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H14f. zenon_intro zenon_H8c. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.71 apply (zenon_L192_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.71 apply (zenon_L6_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.71 apply (zenon_L94_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.71 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.71 apply (zenon_L113_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.71 apply (zenon_L67_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.71 apply (zenon_L46_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.71 apply (zenon_L193_); trivial. % 11.53/11.71 apply (zenon_L103_); trivial. % 11.53/11.71 apply (zenon_L69_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H4a | zenon_intro zenon_H31d ]. % 11.53/11.71 apply (zenon_L13_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H31e ]. % 11.53/11.71 apply (zenon_L194_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_Hca | zenon_intro zenon_H31f ]. % 11.53/11.71 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbe. zenon_intro zenon_Hcb. % 11.53/11.71 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_H9a. zenon_intro zenon_H4c. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H14f. zenon_intro zenon_H8c. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.71 apply (zenon_L192_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.71 apply (zenon_L6_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.71 apply (zenon_L94_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.71 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.71 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.71 apply (zenon_L195_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.71 apply (zenon_L196_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.71 apply (zenon_L200_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.71 apply (zenon_L193_); trivial. % 11.53/11.71 apply (zenon_L53_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.71 apply (zenon_L201_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.71 apply (zenon_L195_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.71 apply (zenon_L67_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.71 apply (zenon_L200_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.71 apply (zenon_L49_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.53/11.71 apply (zenon_L210_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.53/11.71 apply (zenon_L211_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.53/11.71 apply (zenon_L106_); trivial. % 11.53/11.71 apply (zenon_L221_); trivial. % 11.53/11.71 apply (zenon_L63_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.71 apply (zenon_L193_); trivial. % 11.53/11.71 apply (zenon_L31_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.71 apply (zenon_L196_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.71 apply (zenon_L200_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.71 apply (zenon_L59_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.71 apply (zenon_L223_); trivial. % 11.53/11.71 apply (zenon_L64_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.71 apply (zenon_L49_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.71 apply (zenon_L225_); trivial. % 11.53/11.71 apply (zenon_L226_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.71 apply (zenon_L193_); trivial. % 11.53/11.71 apply (zenon_L53_); trivial. % 11.53/11.71 apply (zenon_L228_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.71 apply (zenon_L195_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.71 apply (zenon_L210_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.71 apply (zenon_L93_); trivial. % 11.53/11.71 apply (zenon_L154_); trivial. % 11.53/11.71 apply (zenon_L69_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.71 apply (zenon_L229_); trivial. % 11.53/11.71 apply (zenon_L234_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.71 apply (zenon_L115_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.71 apply (zenon_L235_); trivial. % 11.53/11.71 apply (zenon_L82_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H29b | zenon_intro zenon_H322 ]. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_Hec. zenon_intro zenon_H29c. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_Hf0. zenon_intro zenon_H15e. % 11.53/11.71 apply (zenon_L229_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H15c | zenon_intro zenon_H323 ]. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H69. zenon_intro zenon_H15d. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H10c. zenon_intro zenon_H15e. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.71 apply (zenon_L192_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.71 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.71 apply (zenon_L196_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.71 apply (zenon_L237_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.71 apply (zenon_L195_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.71 apply (zenon_L27_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H13e | zenon_intro zenon_H2a9 ]. % 11.53/11.71 apply (zenon_L123_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H179 | zenon_intro zenon_H2aa ]. % 11.53/11.71 apply (zenon_L239_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H112 ]. % 11.53/11.71 apply (zenon_L106_); trivial. % 11.53/11.71 apply (zenon_L240_); trivial. % 11.53/11.71 apply (zenon_L241_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.71 apply (zenon_L244_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.71 apply (zenon_L44_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.71 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.71 apply (zenon_L196_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.71 apply (zenon_L68_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.53/11.71 apply (zenon_L159_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.53/11.71 apply (zenon_L246_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.53/11.71 apply (zenon_L239_); trivial. % 11.53/11.71 apply (zenon_L248_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.71 apply (zenon_L243_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.71 apply (zenon_L201_); trivial. % 11.53/11.71 apply (zenon_L249_); trivial. % 11.53/11.71 apply (zenon_L252_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.71 apply (zenon_L235_); trivial. % 11.53/11.71 apply (zenon_L253_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.71 apply (zenon_L94_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.71 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.71 apply (zenon_L198_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.71 apply (zenon_L229_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.71 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.71 apply (zenon_L195_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.71 apply (zenon_L195_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.71 apply (zenon_L67_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.71 apply (zenon_L232_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.71 apply (zenon_L208_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.53/11.71 apply (zenon_L254_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.53/11.71 apply (zenon_L246_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.53/11.71 apply (zenon_L239_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.53/11.71 apply (zenon_L69_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.53/11.71 apply (zenon_L255_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H237 ]. % 11.53/11.71 apply (zenon_L227_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_He2 | zenon_intro zenon_H238 ]. % 11.53/11.71 apply (zenon_L258_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H127 | zenon_intro zenon_H132 ]. % 11.53/11.71 apply (zenon_L87_); trivial. % 11.53/11.71 apply (zenon_L260_); trivial. % 11.53/11.71 apply (zenon_L261_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.71 apply (zenon_L196_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.71 apply (zenon_L232_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.71 apply (zenon_L193_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.53/11.71 apply (zenon_L201_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.53/11.71 apply (zenon_L225_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.53/11.71 apply (zenon_L240_); trivial. % 11.53/11.71 apply (zenon_L262_); trivial. % 11.53/11.71 apply (zenon_L154_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.71 apply (zenon_L201_); trivial. % 11.53/11.71 apply (zenon_L233_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.71 apply (zenon_L237_); trivial. % 11.53/11.71 apply (zenon_L69_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.71 apply (zenon_L244_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.71 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.71 apply (zenon_L113_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.71 apply (zenon_L237_); trivial. % 11.53/11.71 apply (zenon_L69_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.71 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.71 apply (zenon_L198_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.71 apply (zenon_L229_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.71 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.71 apply (zenon_L196_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.71 apply (zenon_L65_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.71 apply (zenon_L263_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.71 apply (zenon_L245_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.71 apply (zenon_L264_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.71 apply (zenon_L267_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.71 apply (zenon_L211_); trivial. % 11.53/11.71 apply (zenon_L268_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.71 apply (zenon_L267_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.53/11.71 apply (zenon_L141_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.53/11.71 apply (zenon_L197_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.53/11.71 apply (zenon_L123_); trivial. % 11.53/11.71 apply (zenon_L270_); trivial. % 11.53/11.71 apply (zenon_L51_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.71 apply (zenon_L208_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.71 apply (zenon_L113_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.71 apply (zenon_L263_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.71 apply (zenon_L245_); trivial. % 11.53/11.71 apply (zenon_L53_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.71 apply (zenon_L243_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.71 apply (zenon_L201_); trivial. % 11.53/11.71 apply (zenon_L249_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.71 apply (zenon_L236_); trivial. % 11.53/11.71 apply (zenon_L69_); trivial. % 11.53/11.71 apply (zenon_L42_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.71 apply (zenon_L235_); trivial. % 11.53/11.71 apply (zenon_L253_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H163 | zenon_intro zenon_H324 ]. % 11.53/11.71 apply (zenon_L107_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H239 | zenon_intro zenon_H325 ]. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H167. zenon_intro zenon_H23a. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H103. zenon_intro zenon_H15e. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.53/11.71 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.71 apply (zenon_L192_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.71 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.71 apply (zenon_L272_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.71 apply (zenon_L229_); trivial. % 11.53/11.71 apply (zenon_L148_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.71 apply (zenon_L94_); trivial. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.71 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.71 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.71 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L195_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L275_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L201_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 apply (zenon_L195_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.72 apply (zenon_L18_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.72 apply (zenon_L212_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.72 apply (zenon_L275_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.72 apply (zenon_L59_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.72 apply (zenon_L95_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.53/11.72 apply (zenon_L274_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.53/11.72 apply (zenon_L276_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.53/11.72 apply (zenon_L137_); trivial. % 11.53/11.72 apply (zenon_L160_); trivial. % 11.53/11.72 apply (zenon_L219_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L274_); trivial. % 11.53/11.72 apply (zenon_L154_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.72 apply (zenon_L277_); trivial. % 11.53/11.72 apply (zenon_L69_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L229_); trivial. % 11.53/11.72 apply (zenon_L148_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L77_); trivial. % 11.53/11.72 apply (zenon_L148_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L235_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.72 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L195_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L275_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L201_); trivial. % 11.53/11.72 apply (zenon_L88_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.72 apply (zenon_L146_); trivial. % 11.53/11.72 apply (zenon_L271_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L280_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_L282_); trivial. % 11.53/11.72 apply (zenon_L42_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H271 | zenon_intro zenon_H326 ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_Ha9. zenon_intro zenon_H272. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_H129. zenon_intro zenon_H1be. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L192_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.72 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.72 apply (zenon_L196_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.72 apply (zenon_L154_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.72 apply (zenon_L307_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.72 apply (zenon_L308_); trivial. % 11.53/11.72 apply (zenon_L158_); trivial. % 11.53/11.72 apply (zenon_L241_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L229_); trivial. % 11.53/11.72 apply (zenon_L233_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_L249_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L235_); trivial. % 11.53/11.72 apply (zenon_L88_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_L94_); trivial. % 11.53/11.72 apply (zenon_L154_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H1bc | zenon_intro zenon_H327 ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_He2. zenon_intro zenon_H1bd. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_Hc2. zenon_intro zenon_H1be. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L192_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L195_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L309_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L201_); trivial. % 11.53/11.72 apply (zenon_L226_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L229_); trivial. % 11.53/11.72 apply (zenon_L310_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L229_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.72 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.72 apply (zenon_L196_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.72 apply (zenon_L68_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.72 apply (zenon_L65_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.72 apply (zenon_L263_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.72 apply (zenon_L311_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.53/11.72 apply (zenon_L68_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.53/11.72 apply (zenon_L312_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.53/11.72 apply (zenon_L106_); trivial. % 11.53/11.72 apply (zenon_L315_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.72 apply (zenon_L245_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.53/11.72 apply (zenon_L301_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.53/11.72 apply (zenon_L318_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.53/11.72 apply (zenon_L106_); trivial. % 11.53/11.72 apply (zenon_L143_); trivial. % 11.53/11.72 apply (zenon_L268_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L229_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L319_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L243_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L201_); trivial. % 11.53/11.72 apply (zenon_L233_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L235_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_L320_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.72 apply (zenon_L18_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.72 apply (zenon_L321_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.53/11.72 apply (zenon_L68_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.53/11.72 apply (zenon_L198_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.53/11.72 apply (zenon_L106_); trivial. % 11.53/11.72 apply (zenon_L281_); trivial. % 11.53/11.72 apply (zenon_L322_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L229_); trivial. % 11.53/11.72 apply (zenon_L152_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 exact (zenon_Hd9 zenon_Hd8). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L325_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L229_); trivial. % 11.53/11.72 apply (zenon_L152_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_L94_); trivial. % 11.53/11.72 apply (zenon_L185_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H25c | zenon_intro zenon_H1ec ]. % 11.53/11.72 apply (zenon_L326_); trivial. % 11.53/11.72 apply (zenon_L189_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H32c | zenon_intro zenon_H32b ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H38. zenon_intro zenon_H32d. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H6e. zenon_intro zenon_H1be. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H25 | zenon_intro zenon_H318 ]. % 11.53/11.72 apply (zenon_L4_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H31 | zenon_intro zenon_H319 ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32. % 11.53/11.72 apply (zenon_L9_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H31a ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H35. zenon_intro zenon_H1f1. % 11.53/11.72 apply (zenon_L191_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H25e | zenon_intro zenon_H31b ]. % 11.53/11.72 apply (zenon_L327_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H293 | zenon_intro zenon_H31c ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H59. zenon_intro zenon_H294. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H3e. zenon_intro zenon_H4c. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H14f. zenon_intro zenon_H8c. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L328_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_L6_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L243_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_L47_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L32_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 apply (zenon_L46_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.72 apply (zenon_L10_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.72 apply (zenon_L213_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.72 apply (zenon_L329_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.72 apply (zenon_L227_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.53/11.72 apply (zenon_L72_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.53/11.72 apply (zenon_L49_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.53/11.72 apply (zenon_L333_); trivial. % 11.53/11.72 apply (zenon_L336_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.72 apply (zenon_L50_); trivial. % 11.53/11.72 apply (zenon_L84_); trivial. % 11.53/11.72 apply (zenon_L337_); trivial. % 11.53/11.72 apply (zenon_L338_); trivial. % 11.53/11.72 apply (zenon_L185_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H4a | zenon_intro zenon_H31d ]. % 11.53/11.72 apply (zenon_L13_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H31e ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H55. zenon_intro zenon_H1f7. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H6a. zenon_intro zenon_H4c. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H14f. zenon_intro zenon_H8c. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L328_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_L6_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_L340_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L32_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L6_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.72 apply (zenon_L342_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.72 apply (zenon_L20_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.72 apply (zenon_L101_); trivial. % 11.53/11.72 apply (zenon_L207_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_L29_); trivial. % 11.53/11.72 apply (zenon_L343_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_L340_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L32_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L6_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.72 apply (zenon_L346_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.72 apply (zenon_L20_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.72 apply (zenon_L347_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.72 apply (zenon_L227_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33 | zenon_intro zenon_H177 ]. % 11.53/11.72 apply (zenon_L9_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H3e | zenon_intro zenon_H178 ]. % 11.53/11.72 apply (zenon_L40_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H5e | zenon_intro zenon_Hd3 ]. % 11.53/11.72 apply (zenon_L289_); trivial. % 11.53/11.72 apply (zenon_L117_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.72 apply (zenon_L225_); trivial. % 11.53/11.72 apply (zenon_L84_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.72 apply (zenon_L20_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.72 apply (zenon_L101_); trivial. % 11.53/11.72 apply (zenon_L207_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_L29_); trivial. % 11.53/11.72 apply (zenon_L337_); trivial. % 11.53/11.72 apply (zenon_L338_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_L40_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L15_); trivial. % 11.53/11.72 apply (zenon_L348_); trivial. % 11.53/11.72 apply (zenon_L185_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_Hca | zenon_intro zenon_H31f ]. % 11.53/11.72 apply (zenon_L349_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H29b | zenon_intro zenon_H322 ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_Hec. zenon_intro zenon_H29c. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_Hf0. zenon_intro zenon_H15e. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L352_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_L27_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L93_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.72 apply (zenon_L27_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.72 apply (zenon_L117_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.53/11.72 apply (zenon_L70_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.53/11.72 apply (zenon_L353_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.53/11.72 apply (zenon_L97_); trivial. % 11.53/11.72 apply (zenon_L354_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.53/11.72 apply (zenon_L355_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.53/11.72 apply (zenon_L199_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H8a | zenon_intro zenon_H115 ]. % 11.53/11.72 apply (zenon_L302_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H55 | zenon_intro zenon_H116 ]. % 11.53/11.72 apply (zenon_L357_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H10c | zenon_intro zenon_Hc0 ]. % 11.53/11.72 apply (zenon_L92_); trivial. % 11.53/11.72 apply (zenon_L80_); trivial. % 11.53/11.72 apply (zenon_L89_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L75_); trivial. % 11.53/11.72 apply (zenon_L338_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_L94_); trivial. % 11.53/11.72 apply (zenon_L185_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H15c | zenon_intro zenon_H323 ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H69. zenon_intro zenon_H15d. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H10c. zenon_intro zenon_H15e. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.53/11.72 apply (zenon_L363_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H163 | zenon_intro zenon_H324 ]. % 11.53/11.72 apply (zenon_L108_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H239 | zenon_intro zenon_H325 ]. % 11.53/11.72 apply (zenon_L364_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H271 | zenon_intro zenon_H326 ]. % 11.53/11.72 apply (zenon_L365_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H1bc | zenon_intro zenon_H327 ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_He2. zenon_intro zenon_H1bd. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_Hc2. zenon_intro zenon_H1be. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L328_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L309_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_L27_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.72 apply (zenon_L9_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.72 apply (zenon_L321_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.72 apply (zenon_L196_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.72 apply (zenon_L366_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.72 apply (zenon_L116_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.72 apply (zenon_L79_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.53/11.72 apply (zenon_L348_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.53/11.72 apply (zenon_L285_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.53/11.72 apply (zenon_L359_); trivial. % 11.53/11.72 apply (zenon_L314_); trivial. % 11.53/11.72 apply (zenon_L367_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.72 apply (zenon_L278_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.72 apply (zenon_L286_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.72 apply (zenon_L372_); trivial. % 11.53/11.72 apply (zenon_L164_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.72 apply (zenon_L196_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.72 apply (zenon_L366_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.72 apply (zenon_L245_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.72 apply (zenon_L374_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.72 apply (zenon_L366_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.72 apply (zenon_L347_); trivial. % 11.53/11.72 apply (zenon_L367_); trivial. % 11.53/11.72 apply (zenon_L51_); trivial. % 11.53/11.72 apply (zenon_L322_); trivial. % 11.53/11.72 apply (zenon_L375_); trivial. % 11.53/11.72 apply (zenon_L226_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.72 apply (zenon_L116_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.72 apply (zenon_L196_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.72 apply (zenon_L376_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L309_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_L378_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.72 apply (zenon_L283_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.53/11.72 apply (zenon_L86_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.53/11.72 apply (zenon_L198_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.72 apply (zenon_L67_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.72 apply (zenon_L322_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.72 apply (zenon_L383_); trivial. % 11.53/11.72 apply (zenon_L388_); trivial. % 11.53/11.72 apply (zenon_L373_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.53/11.72 apply (zenon_L93_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.53/11.72 apply (zenon_L198_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.53/11.72 apply (zenon_L371_); trivial. % 11.53/11.72 apply (zenon_L373_); trivial. % 11.53/11.72 apply (zenon_L51_); trivial. % 11.53/11.72 apply (zenon_L241_); trivial. % 11.53/11.72 apply (zenon_L338_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L389_); trivial. % 11.53/11.72 apply (zenon_L362_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L243_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.72 apply (zenon_L263_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.72 apply (zenon_L366_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.72 apply (zenon_L347_); trivial. % 11.53/11.72 apply (zenon_L367_); trivial. % 11.53/11.72 apply (zenon_L390_); trivial. % 11.53/11.72 apply (zenon_L226_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_L27_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L119_); trivial. % 11.53/11.72 apply (zenon_L391_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_L27_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.72 apply (zenon_L263_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.53/11.72 apply (zenon_L150_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.53/11.72 apply (zenon_L40_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.53/11.72 apply (zenon_L120_); trivial. % 11.53/11.72 apply (zenon_L131_); trivial. % 11.53/11.72 apply (zenon_L51_); trivial. % 11.53/11.72 apply (zenon_L38_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L389_); trivial. % 11.53/11.72 apply (zenon_L362_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L393_); trivial. % 11.53/11.72 apply (zenon_L348_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L309_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L27_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.72 apply (zenon_L116_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.72 apply (zenon_L396_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.72 apply (zenon_L404_); trivial. % 11.53/11.72 apply (zenon_L367_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.72 apply (zenon_L9_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.72 apply (zenon_L213_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.72 apply (zenon_L329_); trivial. % 11.53/11.72 apply (zenon_L322_); trivial. % 11.53/11.72 apply (zenon_L256_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L32_); trivial. % 11.53/11.72 apply (zenon_L391_); trivial. % 11.53/11.72 apply (zenon_L338_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L309_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L405_); trivial. % 11.53/11.72 apply (zenon_L226_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L389_); trivial. % 11.53/11.72 apply (zenon_L362_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L309_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L27_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 apply (zenon_L403_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_L406_); trivial. % 11.53/11.72 apply (zenon_L337_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L32_); trivial. % 11.53/11.72 apply (zenon_L375_); trivial. % 11.53/11.72 apply (zenon_L226_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L407_); trivial. % 11.53/11.72 apply (zenon_L362_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_L47_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L32_); trivial. % 11.53/11.72 apply (zenon_L391_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_L17_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L243_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.72 apply (zenon_L47_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.72 apply (zenon_L263_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.72 apply (zenon_L346_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.72 apply (zenon_L408_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.72 apply (zenon_L347_); trivial. % 11.53/11.72 apply (zenon_L367_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.72 apply (zenon_L408_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.72 apply (zenon_L245_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.72 apply (zenon_L201_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.72 apply (zenon_L29_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.72 apply (zenon_L397_); trivial. % 11.53/11.72 apply (zenon_L409_); trivial. % 11.53/11.72 apply (zenon_L51_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L32_); trivial. % 11.53/11.72 apply (zenon_L38_); trivial. % 11.53/11.72 apply (zenon_L226_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L389_); trivial. % 11.53/11.72 apply (zenon_L362_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L393_); trivial. % 11.53/11.72 apply (zenon_L348_); trivial. % 11.53/11.72 apply (zenon_L185_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H25c | zenon_intro zenon_H1ec ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H127. zenon_intro zenon_H25d. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H12b. zenon_intro zenon_H1be. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L328_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_L27_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L369_); trivial. % 11.53/11.72 apply (zenon_L174_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L27_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 apply (zenon_L411_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.72 apply (zenon_L9_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.72 apply (zenon_L213_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.72 apply (zenon_L329_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.72 apply (zenon_L412_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.72 apply (zenon_L418_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.72 apply (zenon_L278_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.72 apply (zenon_L419_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.72 apply (zenon_L416_); trivial. % 11.53/11.72 apply (zenon_L420_); trivial. % 11.53/11.72 apply (zenon_L421_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.72 apply (zenon_L418_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.72 apply (zenon_L208_); trivial. % 11.53/11.72 apply (zenon_L206_); trivial. % 11.53/11.72 apply (zenon_L337_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L32_); trivial. % 11.53/11.72 apply (zenon_L174_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L27_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 apply (zenon_L411_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.72 apply (zenon_L18_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.72 apply (zenon_L213_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.72 apply (zenon_L329_); trivial. % 11.53/11.72 apply (zenon_L412_); trivial. % 11.53/11.72 apply (zenon_L337_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L369_); trivial. % 11.53/11.72 apply (zenon_L422_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L27_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 apply (zenon_L423_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.72 apply (zenon_L9_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.72 apply (zenon_L213_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.72 apply (zenon_L329_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.53/11.72 apply (zenon_L427_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.53/11.72 apply (zenon_L292_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.53/11.72 apply (zenon_L77_); trivial. % 11.53/11.72 apply (zenon_L166_); trivial. % 11.53/11.72 apply (zenon_L337_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L369_); trivial. % 11.53/11.72 apply (zenon_L422_); trivial. % 11.53/11.72 apply (zenon_L362_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_L428_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_L254_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_L47_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L369_); trivial. % 11.53/11.72 apply (zenon_L422_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_L17_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 exact (zenon_H6e zenon_H6d). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L27_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 apply (zenon_L411_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.72 apply (zenon_L58_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.72 apply (zenon_L411_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.72 apply (zenon_L329_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.53/11.72 apply (zenon_L17_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.53/11.72 apply (zenon_L429_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.53/11.72 apply (zenon_L22_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.53/11.72 apply (zenon_L348_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.53/11.72 apply (zenon_L433_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.53/11.72 apply (zenon_L434_); trivial. % 11.53/11.72 apply (zenon_L172_); trivial. % 11.53/11.72 apply (zenon_L435_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.53/11.72 apply (zenon_L124_); trivial. % 11.53/11.72 apply (zenon_L331_); trivial. % 11.53/11.72 apply (zenon_L337_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L369_); trivial. % 11.53/11.72 apply (zenon_L38_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L392_); trivial. % 11.53/11.72 apply (zenon_L338_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L436_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L71_); trivial. % 11.53/11.72 apply (zenon_L362_); trivial. % 11.53/11.72 apply (zenon_L348_); trivial. % 11.53/11.72 apply (zenon_L185_); trivial. % 11.53/11.72 apply (zenon_L188_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H32f | zenon_intro zenon_H32e ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H59. zenon_intro zenon_H330. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_Hb8. zenon_intro zenon_H27. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H27c. zenon_intro zenon_H331. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H295. zenon_intro zenon_H288. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H25 | zenon_intro zenon_H318 ]. % 11.53/11.72 apply (zenon_L4_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H31 | zenon_intro zenon_H319 ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H2b. zenon_intro zenon_H27. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H31a ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H35. zenon_intro zenon_H1f1. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H5b. zenon_intro zenon_H27. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H27c. zenon_intro zenon_H331. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H295. zenon_intro zenon_H288. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L283_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_L437_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L235_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L439_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.72 apply (zenon_L116_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.72 apply (zenon_L113_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.72 apply (zenon_L440_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 exact (zenon_Hb8 zenon_H88). % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_L193_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.53/11.72 apply (zenon_L112_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.53/11.72 apply (zenon_L235_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.53/11.72 apply (zenon_L16_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.53/11.72 apply (zenon_L183_); trivial. % 11.53/11.72 apply (zenon_L248_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.72 apply (zenon_L311_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.72 apply (zenon_L202_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.72 apply (zenon_L47_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.53/11.72 apply (zenon_L86_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.53/11.72 apply (zenon_L441_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H244 ]. % 11.53/11.72 apply (zenon_L152_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H11a | zenon_intro zenon_H245 ]. % 11.53/11.72 apply (zenon_L102_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H167 | zenon_intro zenon_H11b ]. % 11.53/11.72 apply (zenon_L368_); trivial. % 11.53/11.72 apply (zenon_L287_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.53/11.72 apply (zenon_L32_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.53/11.72 apply (zenon_L201_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.53/11.72 apply (zenon_L444_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.53/11.72 apply (zenon_L447_); trivial. % 11.53/11.72 apply (zenon_L450_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.53/11.72 apply (zenon_L447_); trivial. % 11.53/11.72 apply (zenon_L138_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.53/11.72 apply (zenon_L65_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.53/11.72 apply (zenon_L34_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.53/11.72 apply (zenon_L443_); trivial. % 11.53/11.72 apply (zenon_L324_); trivial. % 11.53/11.72 apply (zenon_L256_); trivial. % 11.53/11.72 apply (zenon_L102_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L451_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L201_); trivial. % 11.53/11.72 apply (zenon_L88_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L229_); trivial. % 11.53/11.72 apply (zenon_L152_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H25e | zenon_intro zenon_H31b ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H38. zenon_intro zenon_H25f. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_Hb5. zenon_intro zenon_H27. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H27c. zenon_intro zenon_H331. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L283_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_L437_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L453_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 apply (zenon_L453_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_L47_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L67_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 exact (zenon_Hb8 zenon_H88). % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.53/11.72 apply (zenon_L243_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.53/11.72 apply (zenon_L112_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.72 apply (zenon_L113_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.53/11.72 apply (zenon_L455_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.53/11.72 apply (zenon_L312_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.53/11.72 apply (zenon_L458_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.72 apply (zenon_L279_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.72 apply (zenon_L208_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.72 apply (zenon_L368_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.53/11.72 apply (zenon_L392_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.53/11.72 apply (zenon_L50_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.53/11.72 apply (zenon_L240_); trivial. % 11.53/11.72 apply (zenon_L87_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.72 apply (zenon_L208_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.53/11.72 apply (zenon_L93_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.53/11.72 apply (zenon_L22_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.53/11.72 apply (zenon_L458_); trivial. % 11.53/11.72 apply (zenon_L143_); trivial. % 11.53/11.72 apply (zenon_L456_); trivial. % 11.53/11.72 apply (zenon_L337_); trivial. % 11.53/11.72 apply (zenon_L454_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L392_); trivial. % 11.53/11.72 apply (zenon_L338_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L459_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L71_); trivial. % 11.53/11.72 apply (zenon_L362_); trivial. % 11.53/11.72 apply (zenon_L348_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H293 | zenon_intro zenon_H31c ]. % 11.53/11.72 apply (zenon_L460_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H4a | zenon_intro zenon_H31d ]. % 11.53/11.72 apply (zenon_L13_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H31e ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H55. zenon_intro zenon_H1f7. % 11.53/11.72 apply (zenon_L16_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_Hca | zenon_intro zenon_H31f ]. % 11.53/11.72 apply (zenon_L55_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H29b | zenon_intro zenon_H322 ]. % 11.53/11.72 apply (zenon_L462_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H15c | zenon_intro zenon_H323 ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H69. zenon_intro zenon_H15d. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H10c. zenon_intro zenon_H15e. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.72 apply (zenon_L3_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L14_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_L94_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.72 apply (zenon_L464_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.72 apply (zenon_L113_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.72 apply (zenon_L237_); trivial. % 11.53/11.72 apply (zenon_L69_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L283_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_L437_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L235_); trivial. % 11.53/11.72 apply (zenon_L441_); trivial. % 11.53/11.72 apply (zenon_L363_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H163 | zenon_intro zenon_H324 ]. % 11.53/11.72 apply (zenon_L108_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H239 | zenon_intro zenon_H325 ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H167. zenon_intro zenon_H23a. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H103. zenon_intro zenon_H15e. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.72 apply (zenon_L3_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L3_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_L94_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L283_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_L10_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 exact (zenon_Hb8 zenon_H88). % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_L111_); trivial. % 11.53/11.72 apply (zenon_L144_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L459_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L71_); trivial. % 11.53/11.72 apply (zenon_L148_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L67_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 exact (zenon_Hb8 zenon_H88). % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_L111_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.53/11.72 apply (zenon_L72_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.53/11.72 apply (zenon_L112_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.53/11.72 apply (zenon_L73_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.72 apply (zenon_L113_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.72 apply (zenon_L451_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.72 apply (zenon_L140_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.72 apply (zenon_L142_); trivial. % 11.53/11.72 apply (zenon_L63_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.72 apply (zenon_L135_); trivial. % 11.53/11.72 apply (zenon_L102_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L147_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L279_); trivial. % 11.53/11.72 apply (zenon_L152_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L192_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_L94_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L283_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_L437_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L235_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L439_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L147_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L229_); trivial. % 11.53/11.72 apply (zenon_L152_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L283_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_L437_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L453_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 apply (zenon_L453_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_L47_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L465_); trivial. % 11.53/11.72 apply (zenon_L466_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L392_); trivial. % 11.53/11.72 apply (zenon_L338_); trivial. % 11.53/11.72 apply (zenon_L348_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H271 | zenon_intro zenon_H326 ]. % 11.53/11.72 apply (zenon_L467_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H1bc | zenon_intro zenon_H327 ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_He2. zenon_intro zenon_H1bd. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_Hc2. zenon_intro zenon_H1be. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.72 apply (zenon_L3_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L14_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L469_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_L437_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 exact (zenon_Hb8 zenon_H88). % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.53/11.72 apply (zenon_L159_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.53/11.72 apply (zenon_L112_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.53/11.72 apply (zenon_L471_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.53/11.72 apply (zenon_L390_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.53/11.72 apply (zenon_L394_); trivial. % 11.53/11.72 apply (zenon_L314_); trivial. % 11.53/11.72 apply (zenon_L63_); trivial. % 11.53/11.72 apply (zenon_L256_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L58_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L392_); trivial. % 11.53/11.72 apply (zenon_L448_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 exact (zenon_Hb8 zenon_H88). % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.53/11.72 apply (zenon_L10_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.53/11.72 apply (zenon_L112_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.53/11.72 apply (zenon_L471_); trivial. % 11.53/11.72 apply (zenon_L63_); trivial. % 11.53/11.72 apply (zenon_L256_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_L47_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L32_); trivial. % 11.53/11.72 apply (zenon_L391_); trivial. % 11.53/11.72 apply (zenon_L185_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.72 apply (zenon_L449_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L283_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_L437_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L453_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L309_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L392_); trivial. % 11.53/11.72 apply (zenon_L338_); trivial. % 11.53/11.72 apply (zenon_L348_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H25c | zenon_intro zenon_H1ec ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H127. zenon_intro zenon_H25d. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H12b. zenon_intro zenon_H1be. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.72 apply (zenon_L3_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L14_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L283_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_L10_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L472_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L18_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L71_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.72 apply (zenon_L472_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.72 apply (zenon_L113_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.72 apply (zenon_L70_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.53/11.72 apply (zenon_L437_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.53/11.72 apply (zenon_L112_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.72 apply (zenon_L69_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.72 apply (zenon_L155_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.72 apply (zenon_L410_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.53/11.72 apply (zenon_L169_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.53/11.72 apply (zenon_L34_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.53/11.72 apply (zenon_L248_); trivial. % 11.53/11.72 apply (zenon_L177_); trivial. % 11.53/11.72 apply (zenon_L161_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L58_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L392_); trivial. % 11.53/11.72 apply (zenon_L233_); trivial. % 11.53/11.72 apply (zenon_L184_); trivial. % 11.53/11.72 apply (zenon_L185_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L283_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_L437_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L235_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L439_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.72 apply (zenon_L116_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.72 apply (zenon_L113_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.72 apply (zenon_L475_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 exact (zenon_Hb8 zenon_H88). % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_L193_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.53/11.72 apply (zenon_L112_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.53/11.72 apply (zenon_L477_); trivial. % 11.53/11.72 apply (zenon_L161_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L229_); trivial. % 11.53/11.72 apply (zenon_L152_); trivial. % 11.53/11.72 apply (zenon_L478_); trivial. % 11.53/11.72 apply (zenon_L189_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H333 | zenon_intro zenon_H332 ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H44. zenon_intro zenon_H334. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H45. zenon_intro zenon_H4c. % 11.53/11.72 exact (zenon_H45 zenon_H44). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H336 | zenon_intro zenon_H335 ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H55. zenon_intro zenon_H337. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H66. zenon_intro zenon_H15e. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H25 | zenon_intro zenon_H318 ]. % 11.53/11.72 apply (zenon_L4_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H31 | zenon_intro zenon_H319 ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H2b. zenon_intro zenon_H27. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H27c. zenon_intro zenon_H331. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H295. zenon_intro zenon_H288. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L469_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_L10_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L15_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_L469_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.53/11.72 apply (zenon_L10_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.72 apply (zenon_L196_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.72 exact (zenon_H66 zenon_H65). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.72 apply (zenon_L245_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.72 apply (zenon_L116_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.72 exact (zenon_H66 zenon_H65). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.72 apply (zenon_L451_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.72 apply (zenon_L479_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.72 apply (zenon_L482_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.72 apply (zenon_L439_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.72 apply (zenon_L29_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.72 apply (zenon_L488_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.72 apply (zenon_L485_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.72 apply (zenon_L286_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.72 apply (zenon_L317_); trivial. % 11.53/11.72 apply (zenon_L303_); trivial. % 11.53/11.72 apply (zenon_L491_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.53/11.72 apply (zenon_L73_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.72 apply (zenon_L196_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.72 exact (zenon_H66 zenon_H65). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.72 apply (zenon_L245_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.72 apply (zenon_L494_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.72 exact (zenon_H66 zenon_H65). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.72 apply (zenon_L58_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.72 apply (zenon_L8_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.72 apply (zenon_L302_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.72 apply (zenon_L496_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.72 apply (zenon_L461_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.72 apply (zenon_L286_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.72 apply (zenon_L495_); trivial. % 11.53/11.72 apply (zenon_L303_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.72 apply (zenon_L211_); trivial. % 11.53/11.72 apply (zenon_L63_); trivial. % 11.53/11.72 apply (zenon_L76_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L494_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L461_); trivial. % 11.53/11.72 apply (zenon_L152_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 apply (zenon_L483_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_L27_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.53/11.72 apply (zenon_L32_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.53/11.72 apply (zenon_L114_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.53/11.72 apply (zenon_L150_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.53/11.72 apply (zenon_L73_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.53/11.72 apply (zenon_L120_); trivial. % 11.53/11.72 apply (zenon_L132_); trivial. % 11.53/11.72 apply (zenon_L222_); trivial. % 11.53/11.72 apply (zenon_L38_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L18_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L497_); trivial. % 11.53/11.72 apply (zenon_L152_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H31a ]. % 11.53/11.72 apply (zenon_L190_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H25e | zenon_intro zenon_H31b ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H38. zenon_intro zenon_H25f. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_Hb5. zenon_intro zenon_H27. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H27c. zenon_intro zenon_H331. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H295. zenon_intro zenon_H288. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L67_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.72 apply (zenon_L506_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.72 exact (zenon_H66 zenon_H65). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.72 apply (zenon_L361_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.72 apply (zenon_L501_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.72 apply (zenon_L507_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.72 apply (zenon_L508_); trivial. % 11.53/11.72 apply (zenon_L367_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_L29_); trivial. % 11.53/11.72 apply (zenon_L337_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L506_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L461_); trivial. % 11.53/11.72 apply (zenon_L362_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_L437_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L15_); trivial. % 11.53/11.72 apply (zenon_L348_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H293 | zenon_intro zenon_H31c ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H59. zenon_intro zenon_H294. % 11.53/11.72 apply (zenon_L16_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H4a | zenon_intro zenon_H31d ]. % 11.53/11.72 apply (zenon_L13_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H31e ]. % 11.53/11.72 apply (zenon_L194_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_Hca | zenon_intro zenon_H31f ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbe. zenon_intro zenon_Hcb. % 11.53/11.72 apply (zenon_L265_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H29b | zenon_intro zenon_H322 ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_Hec. zenon_intro zenon_H29c. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_Hf0. zenon_intro zenon_H15e. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L350_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_L350_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L16_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_L68_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 apply (zenon_L351_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L27_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.72 exact (zenon_H66 zenon_H65). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.72 apply (zenon_L509_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.72 apply (zenon_L501_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.72 apply (zenon_L59_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.72 apply (zenon_L481_); trivial. % 11.53/11.72 apply (zenon_L367_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_L29_); trivial. % 11.53/11.72 apply (zenon_L502_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L93_); trivial. % 11.53/11.72 apply (zenon_L38_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L71_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_L350_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L16_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_L68_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L351_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 apply (zenon_L351_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_L503_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L93_); trivial. % 11.53/11.72 apply (zenon_L38_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L75_); trivial. % 11.53/11.72 apply (zenon_L88_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L14_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 apply (zenon_L195_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_L27_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L93_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.72 apply (zenon_L196_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.72 exact (zenon_H66 zenon_H65). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.72 apply (zenon_L92_); trivial. % 11.53/11.72 apply (zenon_L512_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_L10_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L15_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L195_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L58_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L75_); trivial. % 11.53/11.72 apply (zenon_L88_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_L68_); trivial. % 11.53/11.72 apply (zenon_L497_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_L94_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_L514_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L16_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_L68_); trivial. % 11.53/11.72 apply (zenon_L42_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.72 apply (zenon_L229_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L352_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 apply (zenon_L195_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_L513_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L93_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.72 apply (zenon_L74_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.72 exact (zenon_H66 zenon_H65). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.72 apply (zenon_L245_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.72 apply (zenon_L191_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.72 apply (zenon_L302_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.72 apply (zenon_L97_); trivial. % 11.53/11.72 apply (zenon_L511_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_L515_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_L516_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L517_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L243_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L75_); trivial. % 11.53/11.72 apply (zenon_L338_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L15_); trivial. % 11.53/11.72 apply (zenon_L348_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_L70_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L514_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_L515_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L16_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_L68_); trivial. % 11.53/11.72 apply (zenon_L42_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L71_); trivial. % 11.53/11.72 apply (zenon_L348_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H15c | zenon_intro zenon_H323 ]. % 11.53/11.72 apply (zenon_L246_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H163 | zenon_intro zenon_H324 ]. % 11.53/11.72 apply (zenon_L107_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H239 | zenon_intro zenon_H325 ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H167. zenon_intro zenon_H23a. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H103. zenon_intro zenon_H15e. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L350_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_L350_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L16_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_L518_); trivial. % 11.53/11.72 apply (zenon_L519_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L15_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_L350_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L16_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L149_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L351_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L520_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 apply (zenon_L351_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.72 apply (zenon_L153_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.72 apply (zenon_L345_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.72 apply (zenon_L281_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.72 apply (zenon_L520_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.72 apply (zenon_L59_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.72 apply (zenon_L482_); trivial. % 11.53/11.72 apply (zenon_L322_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.53/11.72 apply (zenon_L41_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H88 | zenon_intro zenon_H20d ]. % 11.53/11.72 apply (zenon_L345_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H44 | zenon_intro zenon_H20e ]. % 11.53/11.72 apply (zenon_L214_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H65 | zenon_intro zenon_Hbc ]. % 11.53/11.72 exact (zenon_H66 zenon_H65). % 11.53/11.72 apply (zenon_L59_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L119_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L494_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 apply (zenon_L345_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_L29_); trivial. % 11.53/11.72 apply (zenon_L445_); trivial. % 11.53/11.72 apply (zenon_L88_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L77_); trivial. % 11.53/11.72 apply (zenon_L148_); trivial. % 11.53/11.72 apply (zenon_L519_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L14_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.72 apply (zenon_L196_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.72 exact (zenon_H66 zenon_H65). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.72 apply (zenon_L245_); trivial. % 11.53/11.72 apply (zenon_L143_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_L94_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L522_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_L10_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L15_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_L522_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L16_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_L153_); trivial. % 11.53/11.72 apply (zenon_L42_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L192_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 apply (zenon_L195_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_L27_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L122_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.72 apply (zenon_L8_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.72 apply (zenon_L321_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.72 apply (zenon_L523_); trivial. % 11.53/11.72 apply (zenon_L525_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L272_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L77_); trivial. % 11.53/11.72 apply (zenon_L148_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 apply (zenon_L195_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_L27_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L122_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.72 apply (zenon_L10_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.72 apply (zenon_L321_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.72 apply (zenon_L523_); trivial. % 11.53/11.72 apply (zenon_L525_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L229_); trivial. % 11.53/11.72 apply (zenon_L148_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L16_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_L526_); trivial. % 11.53/11.72 apply (zenon_L527_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L15_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L195_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L529_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L201_); trivial. % 11.53/11.72 apply (zenon_L88_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L272_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L77_); trivial. % 11.53/11.72 apply (zenon_L152_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_L526_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L531_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L529_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L201_); trivial. % 11.53/11.72 apply (zenon_L88_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L272_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L532_); trivial. % 11.53/11.72 apply (zenon_L152_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_L94_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.72 apply (zenon_L8_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.72 apply (zenon_L212_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.72 apply (zenon_L530_); trivial. % 11.53/11.72 apply (zenon_L219_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L350_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L533_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L77_); trivial. % 11.53/11.72 apply (zenon_L362_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L15_); trivial. % 11.53/11.72 apply (zenon_L348_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L534_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L272_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L77_); trivial. % 11.53/11.72 apply (zenon_L148_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L534_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L537_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L515_); trivial. % 11.53/11.72 apply (zenon_L362_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_L538_); trivial. % 11.53/11.72 apply (zenon_L527_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L15_); trivial. % 11.53/11.72 apply (zenon_L348_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_L94_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 apply (zenon_L195_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L27_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.72 apply (zenon_L536_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.72 exact (zenon_H66 zenon_H65). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.72 apply (zenon_L420_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.72 apply (zenon_L501_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.72 apply (zenon_L59_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.72 apply (zenon_L521_); trivial. % 11.53/11.72 apply (zenon_L367_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.72 exact (zenon_H66 zenon_H65). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.72 apply (zenon_L245_); trivial. % 11.53/11.72 apply (zenon_L206_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_L29_); trivial. % 11.53/11.72 apply (zenon_L337_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L122_); trivial. % 11.53/11.72 apply (zenon_L154_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L537_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L77_); trivial. % 11.53/11.72 apply (zenon_L362_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L195_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L243_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 apply (zenon_L195_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L67_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.72 apply (zenon_L346_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.72 exact (zenon_H66 zenon_H65). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.72 apply (zenon_L420_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.72 apply (zenon_L501_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.72 apply (zenon_L59_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.53/11.72 apply (zenon_L94_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.53/11.72 apply (zenon_L95_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.53/11.72 apply (zenon_L539_); trivial. % 11.53/11.72 apply (zenon_L354_); trivial. % 11.53/11.72 apply (zenon_L367_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.72 exact (zenon_H66 zenon_H65). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.72 apply (zenon_L245_); trivial. % 11.53/11.72 apply (zenon_L206_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_L29_); trivial. % 11.53/11.72 apply (zenon_L337_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L67_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.53/11.72 apply (zenon_L32_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.53/11.72 apply (zenon_L197_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.53/11.72 apply (zenon_L539_); trivial. % 11.53/11.72 apply (zenon_L109_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_L29_); trivial. % 11.53/11.72 apply (zenon_L337_); trivial. % 11.53/11.72 apply (zenon_L154_); trivial. % 11.53/11.72 apply (zenon_L338_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L515_); trivial. % 11.53/11.72 apply (zenon_L148_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L16_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_L538_); trivial. % 11.53/11.72 apply (zenon_L42_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L15_); trivial. % 11.53/11.72 apply (zenon_L348_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H271 | zenon_intro zenon_H326 ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_Ha9. zenon_intro zenon_H272. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_H129. zenon_intro zenon_H1be. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L350_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_L350_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L16_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L533_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L540_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.72 exact (zenon_H66 zenon_H65). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H38 | zenon_intro zenon_H16d ]. % 11.53/11.72 apply (zenon_L338_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8d | zenon_intro zenon_H16e ]. % 11.53/11.72 apply (zenon_L545_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H144 | zenon_intro zenon_H16a ]. % 11.53/11.72 apply (zenon_L547_); trivial. % 11.53/11.72 apply (zenon_L158_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.53/11.72 apply (zenon_L94_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.53/11.72 apply (zenon_L197_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.53/11.72 apply (zenon_L549_); trivial. % 11.53/11.72 apply (zenon_L546_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_L29_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.72 exact (zenon_H66 zenon_H65). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.72 apply (zenon_L550_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.53/11.72 apply (zenon_L17_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.53/11.72 apply (zenon_L551_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.53/11.72 apply (zenon_L549_); trivial. % 11.53/11.72 apply (zenon_L98_); trivial. % 11.53/11.72 apply (zenon_L233_); trivial. % 11.53/11.72 apply (zenon_L38_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L15_); trivial. % 11.53/11.72 apply (zenon_L88_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L14_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L552_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L18_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L540_); trivial. % 11.53/11.72 apply (zenon_L233_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_L94_); trivial. % 11.53/11.72 apply (zenon_L185_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L192_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L552_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L553_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L229_); trivial. % 11.53/11.72 apply (zenon_L233_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_L94_); trivial. % 11.53/11.72 apply (zenon_L154_); trivial. % 11.53/11.72 apply (zenon_L338_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H1bc | zenon_intro zenon_H327 ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_He2. zenon_intro zenon_H1bd. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_Hc2. zenon_intro zenon_H1be. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L350_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_L350_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L16_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L533_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L554_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L351_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L243_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 apply (zenon_L351_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L27_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 apply (zenon_L555_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_L29_); trivial. % 11.53/11.72 apply (zenon_L258_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L119_); trivial. % 11.53/11.72 apply (zenon_L375_); trivial. % 11.53/11.72 apply (zenon_L233_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L533_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L554_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L319_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L243_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L558_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 apply (zenon_L555_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_L29_); trivial. % 11.53/11.72 apply (zenon_L258_); trivial. % 11.53/11.72 apply (zenon_L233_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L15_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_L350_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L16_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L533_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.72 apply (zenon_L116_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.72 apply (zenon_L560_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.72 apply (zenon_L68_); trivial. % 11.53/11.72 apply (zenon_L493_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L561_); trivial. % 11.53/11.72 apply (zenon_L152_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L533_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.72 apply (zenon_L116_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.72 apply (zenon_L560_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L351_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L309_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L556_); trivial. % 11.53/11.72 apply (zenon_L88_); trivial. % 11.53/11.72 apply (zenon_L163_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L561_); trivial. % 11.53/11.72 apply (zenon_L152_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L14_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.72 apply (zenon_L552_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.72 apply (zenon_L196_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.72 apply (zenon_L376_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 apply (zenon_L195_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_L27_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.72 apply (zenon_L493_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.72 exact (zenon_H66 zenon_H65). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.53/11.72 apply (zenon_L119_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.53/11.72 apply (zenon_L22_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.53/11.72 apply (zenon_L239_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.53/11.72 apply (zenon_L252_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.53/11.72 apply (zenon_L63_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.53/11.72 apply (zenon_L35_); trivial. % 11.53/11.72 apply (zenon_L293_); trivial. % 11.53/11.72 apply (zenon_L367_); trivial. % 11.53/11.72 apply (zenon_L391_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_L10_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L15_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L552_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L562_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.72 apply (zenon_L278_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.72 apply (zenon_L196_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.72 apply (zenon_L376_); trivial. % 11.53/11.72 apply (zenon_L484_); trivial. % 11.53/11.72 apply (zenon_L152_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L552_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L18_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L485_); trivial. % 11.53/11.72 apply (zenon_L564_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L552_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L18_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.72 apply (zenon_L278_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.72 apply (zenon_L196_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L483_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L58_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L556_); trivial. % 11.53/11.72 apply (zenon_L88_); trivial. % 11.53/11.72 apply (zenon_L163_); trivial. % 11.53/11.72 apply (zenon_L152_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_L94_); trivial. % 11.53/11.72 apply (zenon_L185_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L192_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L552_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L562_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L229_); trivial. % 11.53/11.72 apply (zenon_L310_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L552_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L229_); trivial. % 11.53/11.72 apply (zenon_L310_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L16_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_L565_); trivial. % 11.53/11.72 apply (zenon_L566_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L235_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_L320_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L552_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L494_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L229_); trivial. % 11.53/11.72 apply (zenon_L152_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.72 apply (zenon_L325_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.72 exact (zenon_H66 zenon_H65). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.72 apply (zenon_L567_); trivial. % 11.53/11.72 apply (zenon_L25_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L309_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L201_); trivial. % 11.53/11.72 apply (zenon_L88_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_L94_); trivial. % 11.53/11.72 apply (zenon_L185_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L350_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L533_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L351_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L309_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L75_); trivial. % 11.53/11.72 apply (zenon_L338_); trivial. % 11.53/11.72 apply (zenon_L362_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L15_); trivial. % 11.53/11.72 apply (zenon_L348_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L568_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.53/11.72 apply (zenon_L376_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.53/11.72 apply (zenon_L198_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.53/11.72 apply (zenon_L106_); trivial. % 11.53/11.72 apply (zenon_L373_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L407_); trivial. % 11.53/11.72 apply (zenon_L362_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L568_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L515_); trivial. % 11.53/11.72 apply (zenon_L362_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L16_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L568_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L516_); trivial. % 11.53/11.72 apply (zenon_L362_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L568_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L517_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L309_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L75_); trivial. % 11.53/11.72 apply (zenon_L338_); trivial. % 11.53/11.72 apply (zenon_L362_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L15_); trivial. % 11.53/11.72 apply (zenon_L348_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_L94_); trivial. % 11.53/11.72 apply (zenon_L185_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H25c | zenon_intro zenon_H1ec ]. % 11.53/11.72 apply (zenon_L326_); trivial. % 11.53/11.72 apply (zenon_L189_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H339 | zenon_intro zenon_H338 ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_Hbe. zenon_intro zenon_H33a. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_Hbd. zenon_intro zenon_H1be. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H25 | zenon_intro zenon_H318 ]. % 11.53/11.72 apply (zenon_L4_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H31 | zenon_intro zenon_H319 ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H2b. zenon_intro zenon_H27. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H27c. zenon_intro zenon_H331. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H295. zenon_intro zenon_H288. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L469_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_L437_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_L469_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L44_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.53/11.72 apply (zenon_L437_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.53/11.72 apply (zenon_L285_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.53/11.72 apply (zenon_L41_); trivial. % 11.53/11.72 apply (zenon_L161_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.53/11.72 apply (zenon_L163_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.53/11.72 apply (zenon_L25_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.53/11.72 apply (zenon_L164_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H129 | zenon_intro zenon_H233 ]. % 11.53/11.72 apply (zenon_L448_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H234 ]. % 11.53/11.72 apply (zenon_L51_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H12b | zenon_intro zenon_H132 ]. % 11.53/11.72 apply (zenon_L569_); trivial. % 11.53/11.72 apply (zenon_L187_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L58_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L392_); trivial. % 11.53/11.72 apply (zenon_L448_); trivial. % 11.53/11.72 apply (zenon_L82_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H31a ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H35. zenon_intro zenon_H1f1. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H5b. zenon_intro zenon_H27. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H27c. zenon_intro zenon_H331. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H295. zenon_intro zenon_H288. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L439_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L195_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.53/11.72 apply (zenon_L243_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.53/11.72 apply (zenon_L285_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.53/11.72 apply (zenon_L459_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.53/11.72 apply (zenon_L265_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.53/11.72 apply (zenon_L183_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H38 | zenon_intro zenon_H16d ]. % 11.53/11.72 apply (zenon_L191_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8d | zenon_intro zenon_H16e ]. % 11.53/11.72 apply (zenon_L53_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H144 | zenon_intro zenon_H16a ]. % 11.53/11.72 apply (zenon_L570_); trivial. % 11.53/11.72 apply (zenon_L588_); trivial. % 11.53/11.72 apply (zenon_L161_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L201_); trivial. % 11.53/11.72 apply (zenon_L448_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L229_); trivial. % 11.53/11.72 apply (zenon_L574_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_L437_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L235_); trivial. % 11.53/11.72 apply (zenon_L82_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H25e | zenon_intro zenon_H31b ]. % 11.53/11.72 apply (zenon_L327_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H293 | zenon_intro zenon_H31c ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H59. zenon_intro zenon_H294. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H3e. zenon_intro zenon_H4c. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.72 apply (zenon_L54_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H4a | zenon_intro zenon_H31d ]. % 11.53/11.72 apply (zenon_L13_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H31e ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H55. zenon_intro zenon_H1f7. % 11.53/11.72 apply (zenon_L265_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_Hca | zenon_intro zenon_H31f ]. % 11.53/11.72 apply (zenon_L349_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H29b | zenon_intro zenon_H322 ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_Hec. zenon_intro zenon_H29c. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_Hf0. zenon_intro zenon_H15e. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L350_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_L350_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L57_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_L68_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L351_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L243_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L75_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.72 apply (zenon_L351_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L27_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.72 apply (zenon_L243_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.72 exact (zenon_Hbd zenon_Hbc). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.53/11.72 apply (zenon_L150_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.53/11.72 apply (zenon_L128_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H244 ]. % 11.53/11.72 apply (zenon_L316_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H11a | zenon_intro zenon_H245 ]. % 11.53/11.72 apply (zenon_L430_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H167 | zenon_intro zenon_H11b ]. % 11.53/11.72 apply (zenon_L146_); trivial. % 11.53/11.72 apply (zenon_L591_); trivial. % 11.53/11.72 apply (zenon_L499_); trivial. % 11.53/11.72 apply (zenon_L592_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.72 apply (zenon_L10_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.72 apply (zenon_L213_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.72 apply (zenon_L243_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.72 exact (zenon_Hbd zenon_Hbc). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.72 apply (zenon_L95_); trivial. % 11.53/11.72 apply (zenon_L597_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.53/11.72 apply (zenon_L330_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.53/11.72 apply (zenon_L50_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.53/11.72 apply (zenon_L163_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.53/11.72 apply (zenon_L292_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.53/11.72 apply (zenon_L77_); trivial. % 11.53/11.72 apply (zenon_L594_); trivial. % 11.53/11.72 apply (zenon_L598_); trivial. % 11.53/11.72 apply (zenon_L53_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.72 apply (zenon_L93_); trivial. % 11.53/11.72 apply (zenon_L38_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L71_); trivial. % 11.53/11.72 apply (zenon_L82_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L14_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_L600_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_L94_); trivial. % 11.53/11.72 apply (zenon_L185_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.72 apply (zenon_L229_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L601_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.72 apply (zenon_L243_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.72 exact (zenon_Hbd zenon_Hbc). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.72 apply (zenon_L602_); trivial. % 11.53/11.72 apply (zenon_L603_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_L71_); trivial. % 11.53/11.72 apply (zenon_L348_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H15c | zenon_intro zenon_H323 ]. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H69. zenon_intro zenon_H15d. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H10c. zenon_intro zenon_H15e. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.53/11.72 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.72 apply (zenon_L350_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_L350_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L57_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L533_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L604_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L92_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L605_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 apply (zenon_L606_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_L208_); trivial. % 11.53/11.72 apply (zenon_L53_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L251_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L242_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L92_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.72 apply (zenon_L252_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.72 apply (zenon_L232_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.72 exact (zenon_Hbd zenon_Hbc). % 11.53/11.72 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.72 apply (zenon_L211_); trivial. % 11.53/11.72 apply (zenon_L592_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.72 apply (zenon_L208_); trivial. % 11.53/11.72 apply (zenon_L53_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.72 apply (zenon_L254_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.72 apply (zenon_L57_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L533_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L604_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L92_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.72 apply (zenon_L533_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.72 apply (zenon_L607_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.72 apply (zenon_L68_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.72 apply (zenon_L351_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.72 apply (zenon_L608_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.72 apply (zenon_L392_); trivial. % 11.53/11.72 apply (zenon_L233_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.72 apply (zenon_L251_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.72 apply (zenon_L198_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.72 apply (zenon_L71_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.72 apply (zenon_L251_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.72 apply (zenon_L607_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.72 apply (zenon_L236_); trivial. % 11.53/11.72 apply (zenon_L163_); trivial. % 11.53/11.72 apply (zenon_L82_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L14_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_L605_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.72 apply (zenon_L94_); trivial. % 11.53/11.72 apply (zenon_L185_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.72 apply (zenon_L192_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.72 apply (zenon_L605_); trivial. % 11.53/11.72 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_L94_); trivial. % 11.53/11.73 apply (zenon_L185_); trivial. % 11.53/11.73 apply (zenon_L363_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H163 | zenon_intro zenon_H324 ]. % 11.53/11.73 apply (zenon_L108_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H239 | zenon_intro zenon_H325 ]. % 11.53/11.73 apply (zenon_L364_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H271 | zenon_intro zenon_H326 ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_Ha9. zenon_intro zenon_H272. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_H129. zenon_intro zenon_H1be. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L350_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L350_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L57_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L610_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L604_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.53/11.73 apply (zenon_L68_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.53/11.73 apply (zenon_L612_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.53/11.73 apply (zenon_L424_); trivial. % 11.53/11.73 apply (zenon_L613_); trivial. % 11.53/11.73 apply (zenon_L233_); trivial. % 11.53/11.73 apply (zenon_L38_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L254_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L533_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L116_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_L113_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.53/11.73 apply (zenon_L242_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.53/11.73 apply (zenon_L285_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.73 apply (zenon_L47_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.73 exact (zenon_Hbd zenon_Hbc). % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.73 apply (zenon_L614_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.73 exact (zenon_Hbd zenon_Hbc). % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.73 apply (zenon_L128_); trivial. % 11.53/11.73 apply (zenon_L615_); trivial. % 11.53/11.73 apply (zenon_L51_); trivial. % 11.53/11.73 apply (zenon_L161_); trivial. % 11.53/11.73 apply (zenon_L241_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L71_); trivial. % 11.53/11.73 apply (zenon_L233_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L610_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L604_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L71_); trivial. % 11.53/11.73 apply (zenon_L233_); trivial. % 11.53/11.73 apply (zenon_L38_); trivial. % 11.53/11.73 apply (zenon_L82_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.53/11.73 apply (zenon_L10_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.53/11.73 apply (zenon_L285_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.73 apply (zenon_L58_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.73 exact (zenon_Hbd zenon_Hbc). % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.73 apply (zenon_L128_); trivial. % 11.53/11.73 apply (zenon_L375_); trivial. % 11.53/11.73 apply (zenon_L161_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L192_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.73 apply (zenon_L8_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.73 apply (zenon_L321_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.73 apply (zenon_L227_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.73 exact (zenon_Hbd zenon_Hbc). % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.73 apply (zenon_L616_); trivial. % 11.53/11.73 apply (zenon_L51_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L196_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.73 apply (zenon_L27_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.73 exact (zenon_Hbd zenon_Hbc). % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H93 | zenon_intro zenon_H15a ]. % 11.53/11.73 apply (zenon_L355_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hda | zenon_intro zenon_H15b ]. % 11.53/11.73 apply (zenon_L623_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H112 | zenon_intro zenon_H12b ]. % 11.53/11.73 apply (zenon_L80_); trivial. % 11.53/11.73 apply (zenon_L160_); trivial. % 11.53/11.73 apply (zenon_L51_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_L605_); trivial. % 11.53/11.73 apply (zenon_L430_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L116_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_L196_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L74_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_L202_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_L605_); trivial. % 11.53/11.73 apply (zenon_L301_); trivial. % 11.53/11.73 apply (zenon_L241_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L229_); trivial. % 11.53/11.73 apply (zenon_L233_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.73 apply (zenon_L8_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L196_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.73 apply (zenon_L227_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.73 exact (zenon_Hbd zenon_Hbc). % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.73 apply (zenon_L243_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.73 exact (zenon_Hbd zenon_Hbc). % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.53/11.73 apply (zenon_L617_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.53/11.73 apply (zenon_L95_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.53/11.73 apply (zenon_L123_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.53/11.73 apply (zenon_L62_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.53/11.73 apply (zenon_L40_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.53/11.73 apply (zenon_L429_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.53/11.73 apply (zenon_L211_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.73 apply (zenon_L67_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.73 apply (zenon_L621_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.73 apply (zenon_L308_); trivial. % 11.53/11.73 apply (zenon_L158_); trivial. % 11.53/11.73 apply (zenon_L628_); trivial. % 11.53/11.73 apply (zenon_L290_); trivial. % 11.53/11.73 apply (zenon_L611_); trivial. % 11.53/11.73 apply (zenon_L51_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.73 apply (zenon_L242_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.73 apply (zenon_L79_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.73 apply (zenon_L612_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.73 apply (zenon_L27_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.73 exact (zenon_Hbd zenon_Hbc). % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.53/11.73 apply (zenon_L629_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.53/11.73 apply (zenon_L40_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.53/11.73 apply (zenon_L429_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.53/11.73 apply (zenon_L255_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.53/11.73 apply (zenon_L630_); trivial. % 11.53/11.73 apply (zenon_L628_); trivial. % 11.53/11.73 apply (zenon_L290_); trivial. % 11.53/11.73 apply (zenon_L51_); trivial. % 11.53/11.73 apply (zenon_L430_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.73 apply (zenon_L631_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L196_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_L622_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_L632_); trivial. % 11.53/11.73 apply (zenon_L430_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L242_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L229_); trivial. % 11.53/11.73 apply (zenon_L233_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L44_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L609_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L633_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L229_); trivial. % 11.53/11.73 apply (zenon_L233_); trivial. % 11.53/11.73 apply (zenon_L38_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L235_); trivial. % 11.53/11.73 apply (zenon_L82_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_L617_); trivial. % 11.53/11.73 apply (zenon_L154_); trivial. % 11.53/11.73 apply (zenon_L338_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H1bc | zenon_intro zenon_H327 ]. % 11.53/11.73 apply (zenon_L390_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H25c | zenon_intro zenon_H1ec ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H127. zenon_intro zenon_H25d. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H12b. zenon_intro zenon_H1be. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L579_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L533_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L242_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L351_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L243_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L75_); trivial. % 11.53/11.73 apply (zenon_L160_); trivial. % 11.53/11.73 apply (zenon_L634_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L254_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L581_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L533_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L635_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L71_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L351_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.53/11.73 apply (zenon_L243_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.53/11.73 apply (zenon_L636_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.53/11.73 apply (zenon_L41_); trivial. % 11.53/11.73 apply (zenon_L161_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L392_); trivial. % 11.53/11.73 apply (zenon_L233_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L533_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L635_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L71_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L533_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L351_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.73 apply (zenon_L351_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L27_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L232_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.73 apply (zenon_L58_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.73 apply (zenon_L213_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.73 apply (zenon_L185_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.73 apply (zenon_L641_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.73 apply (zenon_L410_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.53/11.73 apply (zenon_L311_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.53/11.73 apply (zenon_L645_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.53/11.73 apply (zenon_L164_); trivial. % 11.53/11.73 apply (zenon_L261_); trivial. % 11.53/11.73 apply (zenon_L641_); trivial. % 11.53/11.73 apply (zenon_L53_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.73 apply (zenon_L369_); trivial. % 11.53/11.73 apply (zenon_L38_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L168_); trivial. % 11.53/11.73 apply (zenon_L160_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L646_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.73 apply (zenon_L646_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L27_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L232_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_L644_); trivial. % 11.53/11.73 apply (zenon_L53_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.73 apply (zenon_L93_); trivial. % 11.53/11.73 apply (zenon_L174_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L392_); trivial. % 11.53/11.73 apply (zenon_L233_); trivial. % 11.53/11.73 apply (zenon_L163_); trivial. % 11.53/11.73 apply (zenon_L82_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L14_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L578_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L579_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L10_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L254_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L581_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_L17_); trivial. % 11.53/11.73 apply (zenon_L169_); trivial. % 11.53/11.73 apply (zenon_L82_); trivial. % 11.53/11.73 apply (zenon_L185_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.73 apply (zenon_L584_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L350_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L647_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L640_); trivial. % 11.53/11.73 apply (zenon_L348_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L578_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.73 apply (zenon_L195_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L27_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L411_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.73 apply (zenon_L9_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.73 apply (zenon_L213_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.73 apply (zenon_L329_); trivial. % 11.53/11.73 apply (zenon_L433_); trivial. % 11.53/11.73 apply (zenon_L53_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.73 apply (zenon_L32_); trivial. % 11.53/11.73 apply (zenon_L422_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L580_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L581_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_L17_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.73 apply (zenon_L191_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.73 apply (zenon_L648_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.73 apply (zenon_L397_); trivial. % 11.53/11.73 apply (zenon_L410_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L254_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L581_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_L17_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.73 apply (zenon_L235_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.73 apply (zenon_L648_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.73 apply (zenon_L397_); trivial. % 11.53/11.73 apply (zenon_L410_); trivial. % 11.53/11.73 apply (zenon_L348_); trivial. % 11.53/11.73 apply (zenon_L185_); trivial. % 11.53/11.73 apply (zenon_L188_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H33c | zenon_intro zenon_H33b ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_Hec. zenon_intro zenon_H33d. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H13f. zenon_intro zenon_H27. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H27c. zenon_intro zenon_H331. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H295. zenon_intro zenon_H288. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H25 | zenon_intro zenon_H318 ]. % 11.53/11.73 apply (zenon_L4_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H31 | zenon_intro zenon_H319 ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H2b. zenon_intro zenon_H27. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H27c. zenon_intro zenon_H331. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H295. zenon_intro zenon_H288. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L469_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L10_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L254_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L44_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_L68_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L429_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L18_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L71_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L74_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_L650_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.73 apply (zenon_L459_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.73 apply (zenon_L79_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.73 apply (zenon_L236_); trivial. % 11.53/11.73 apply (zenon_L25_); trivial. % 11.53/11.73 apply (zenon_L652_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L74_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_L650_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.73 apply (zenon_L459_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.73 apply (zenon_L79_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.73 apply (zenon_L236_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.73 apply (zenon_L27_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.73 apply (zenon_L117_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.73 apply (zenon_L653_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.53/11.73 apply (zenon_L150_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.53/11.73 apply (zenon_L654_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.53/11.73 apply (zenon_L124_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H13b | zenon_intro zenon_H1fd ]. % 11.53/11.73 apply (zenon_L114_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H6a | zenon_intro zenon_H1fe ]. % 11.53/11.73 apply (zenon_L394_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H69 | zenon_intro zenon_Hda ]. % 11.53/11.73 apply (zenon_L255_); trivial. % 11.53/11.73 apply (zenon_L199_); trivial. % 11.53/11.73 apply (zenon_L652_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L392_); trivial. % 11.53/11.73 apply (zenon_L233_); trivial. % 11.53/11.73 apply (zenon_L655_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H31a ]. % 11.53/11.73 apply (zenon_L440_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H25e | zenon_intro zenon_H31b ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H38. zenon_intro zenon_H25f. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_Hb5. zenon_intro zenon_H27. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H27c. zenon_intro zenon_H331. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H295. zenon_intro zenon_H288. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.73 apply (zenon_L195_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L27_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L656_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_L415_); trivial. % 11.53/11.73 apply (zenon_L337_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.73 apply (zenon_L93_); trivial. % 11.53/11.73 apply (zenon_L154_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.73 apply (zenon_L453_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L27_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L656_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_L209_); trivial. % 11.53/11.73 apply (zenon_L337_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.73 apply (zenon_L93_); trivial. % 11.53/11.73 apply (zenon_L454_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L461_); trivial. % 11.53/11.73 apply (zenon_L362_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L437_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L254_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L455_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_L68_); trivial. % 11.53/11.73 apply (zenon_L42_); trivial. % 11.53/11.73 apply (zenon_L348_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H293 | zenon_intro zenon_H31c ]. % 11.53/11.73 apply (zenon_L460_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H4a | zenon_intro zenon_H31d ]. % 11.53/11.73 apply (zenon_L13_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H31e ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H55. zenon_intro zenon_H1f7. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H6a. zenon_intro zenon_H4c. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H14f. zenon_intro zenon_H8c. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L3_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_L70_); trivial. % 11.53/11.73 apply (zenon_L660_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_Hca | zenon_intro zenon_H31f ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbe. zenon_intro zenon_Hcb. % 11.53/11.73 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_H9a. zenon_intro zenon_H4c. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H14f. zenon_intro zenon_H8c. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.73 apply (zenon_L3_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L469_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L10_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L254_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L54_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_L68_); trivial. % 11.53/11.73 apply (zenon_L56_); trivial. % 11.53/11.73 apply (zenon_L82_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L3_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_L70_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L439_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L195_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L661_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L201_); trivial. % 11.53/11.73 apply (zenon_L448_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L229_); trivial. % 11.53/11.73 apply (zenon_L234_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L437_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L235_); trivial. % 11.53/11.73 apply (zenon_L82_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L3_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_L70_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.73 apply (zenon_L195_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.73 apply (zenon_L662_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.73 apply (zenon_L93_); trivial. % 11.53/11.73 apply (zenon_L504_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L195_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L661_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.73 apply (zenon_L453_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L27_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L345_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.73 apply (zenon_L18_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.73 apply (zenon_L345_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.73 apply (zenon_L218_); trivial. % 11.53/11.73 apply (zenon_L219_); trivial. % 11.53/11.73 apply (zenon_L31_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.73 apply (zenon_L93_); trivial. % 11.53/11.73 apply (zenon_L154_); trivial. % 11.53/11.73 apply (zenon_L338_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L461_); trivial. % 11.53/11.73 apply (zenon_L362_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L115_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L254_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L664_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_L68_); trivial. % 11.53/11.73 apply (zenon_L42_); trivial. % 11.53/11.73 apply (zenon_L348_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H29b | zenon_intro zenon_H322 ]. % 11.53/11.73 apply (zenon_L462_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H15c | zenon_intro zenon_H323 ]. % 11.53/11.73 apply (zenon_L237_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H163 | zenon_intro zenon_H324 ]. % 11.53/11.73 apply (zenon_L108_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H239 | zenon_intro zenon_H325 ]. % 11.53/11.73 apply (zenon_L277_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H271 | zenon_intro zenon_H326 ]. % 11.53/11.73 apply (zenon_L467_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H1bc | zenon_intro zenon_H327 ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_He2. zenon_intro zenon_H1bd. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_Hc2. zenon_intro zenon_H1be. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.73 apply (zenon_L3_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L3_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L469_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L10_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L196_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_L665_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_L666_); trivial. % 11.53/11.73 apply (zenon_L652_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L459_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L71_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L74_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.73 apply (zenon_L668_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.73 apply (zenon_L302_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.73 exact (zenon_H13f zenon_H13e). % 11.53/11.73 apply (zenon_L649_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_L666_); trivial. % 11.53/11.73 apply (zenon_L652_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L376_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L44_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_L68_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.73 apply (zenon_L18_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.73 apply (zenon_L669_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.73 apply (zenon_L236_); trivial. % 11.53/11.73 apply (zenon_L367_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L18_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L461_); trivial. % 11.53/11.73 apply (zenon_L152_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_L70_); trivial. % 11.53/11.73 apply (zenon_L185_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L3_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L668_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_L70_); trivial. % 11.53/11.73 apply (zenon_L185_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L3_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L376_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L437_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L670_); trivial. % 11.53/11.73 apply (zenon_L348_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_L70_); trivial. % 11.53/11.73 apply (zenon_L185_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H25c | zenon_intro zenon_H1ec ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H127. zenon_intro zenon_H25d. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H12b. zenon_intro zenon_H1be. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.73 apply (zenon_L3_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L3_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.73 apply (zenon_L8_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.73 apply (zenon_L302_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.73 exact (zenon_H13f zenon_H13e). % 11.53/11.73 apply (zenon_L410_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_L70_); trivial. % 11.53/11.73 apply (zenon_L185_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.73 apply (zenon_L475_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L3_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.73 apply (zenon_L453_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.73 apply (zenon_L27_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.73 apply (zenon_L93_); trivial. % 11.53/11.73 apply (zenon_L422_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_L70_); trivial. % 11.53/11.73 apply (zenon_L185_); trivial. % 11.53/11.73 apply (zenon_L189_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H33f | zenon_intro zenon_H33e ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H69. zenon_intro zenon_H340. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H22c. zenon_intro zenon_H4c. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H14f. zenon_intro zenon_H8c. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H25 | zenon_intro zenon_H318 ]. % 11.53/11.73 apply (zenon_L4_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H31 | zenon_intro zenon_H319 ]. % 11.53/11.73 apply (zenon_L7_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H31a ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H35. zenon_intro zenon_H1f1. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H5b. zenon_intro zenon_H27. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H27c. zenon_intro zenon_H331. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H295. zenon_intro zenon_H288. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L439_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L198_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L229_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L439_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L195_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.73 apply (zenon_L195_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.73 apply (zenon_L672_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.73 apply (zenon_L32_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L673_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L232_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_L675_); trivial. % 11.53/11.73 apply (zenon_L676_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L201_); trivial. % 11.53/11.73 apply (zenon_L448_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_L70_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.73 apply (zenon_L195_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.73 apply (zenon_L672_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.73 apply (zenon_L32_); trivial. % 11.53/11.73 apply (zenon_L241_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L437_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L235_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L474_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L677_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_L17_); trivial. % 11.53/11.73 apply (zenon_L678_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H25e | zenon_intro zenon_H31b ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H38. zenon_intro zenon_H25f. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_Hb5. zenon_intro zenon_H27. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H27c. zenon_intro zenon_H331. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H295. zenon_intro zenon_H288. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.73 apply (zenon_L453_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.73 apply (zenon_L672_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.73 apply (zenon_L679_); trivial. % 11.53/11.73 apply (zenon_L154_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L198_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L461_); trivial. % 11.53/11.73 apply (zenon_L362_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L437_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L254_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.73 apply (zenon_L453_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.73 apply (zenon_L47_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.73 apply (zenon_L679_); trivial. % 11.53/11.73 apply (zenon_L454_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L198_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L680_); trivial. % 11.53/11.73 apply (zenon_L362_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.73 apply (zenon_L453_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.73 apply (zenon_L47_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.73 apply (zenon_L12_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.73 apply (zenon_L15_); trivial. % 11.53/11.73 apply (zenon_L682_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.73 apply (zenon_L119_); trivial. % 11.53/11.73 apply (zenon_L154_); trivial. % 11.53/11.73 apply (zenon_L42_); trivial. % 11.53/11.73 apply (zenon_L348_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H293 | zenon_intro zenon_H31c ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H59. zenon_intro zenon_H294. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H3e. zenon_intro zenon_H4c. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H14f. zenon_intro zenon_H8c. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L533_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L242_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L533_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_L113_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_L236_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L351_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L243_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L685_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.73 apply (zenon_L351_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.73 apply (zenon_L47_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L46_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.73 apply (zenon_L47_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.53/11.73 apply (zenon_L159_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.53/11.73 apply (zenon_L29_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.53/11.73 exact (zenon_H22c zenon_H179). % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.73 apply (zenon_L680_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.73 apply (zenon_L620_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.73 apply (zenon_L156_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H237 ]. % 11.53/11.73 apply (zenon_L687_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_He2 | zenon_intro zenon_H238 ]. % 11.53/11.73 apply (zenon_L216_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H127 | zenon_intro zenon_H132 ]. % 11.53/11.73 apply (zenon_L582_); trivial. % 11.53/11.73 apply (zenon_L590_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.73 apply (zenon_L50_); trivial. % 11.53/11.73 apply (zenon_L84_); trivial. % 11.53/11.73 apply (zenon_L541_); trivial. % 11.53/11.73 apply (zenon_L687_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L533_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_L113_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_L236_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L351_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L243_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L685_); trivial. % 11.53/11.73 apply (zenon_L233_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.73 apply (zenon_L10_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.73 apply (zenon_L677_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L533_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L198_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L278_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_L113_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_L236_); trivial. % 11.53/11.73 apply (zenon_L688_); trivial. % 11.53/11.73 apply (zenon_L362_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L46_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.73 apply (zenon_L9_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.73 apply (zenon_L213_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.73 apply (zenon_L329_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L113_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_L312_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_L101_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.53/11.73 apply (zenon_L159_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.53/11.73 apply (zenon_L29_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.53/11.73 exact (zenon_H22c zenon_H179). % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.73 apply (zenon_L278_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.73 apply (zenon_L286_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.73 apply (zenon_L317_); trivial. % 11.53/11.73 apply (zenon_L692_); trivial. % 11.53/11.73 apply (zenon_L337_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L243_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L44_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L46_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.73 apply (zenon_L10_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.73 apply (zenon_L213_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.73 apply (zenon_L693_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L113_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_L312_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_L208_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H54 | zenon_intro zenon_H1e2 ]. % 11.53/11.73 apply (zenon_L392_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H55 | zenon_intro zenon_H1e3 ]. % 11.53/11.73 apply (zenon_L29_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H179 | zenon_intro zenon_H9e ]. % 11.53/11.73 exact (zenon_H22c zenon_H179). % 11.53/11.73 apply (zenon_L691_); trivial. % 11.53/11.73 apply (zenon_L337_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.73 apply (zenon_L47_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.73 apply (zenon_L32_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L46_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L675_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_L312_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_L208_); trivial. % 11.53/11.73 apply (zenon_L690_); trivial. % 11.53/11.73 apply (zenon_L337_); trivial. % 11.53/11.73 apply (zenon_L338_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L242_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L278_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_L113_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_L70_); trivial. % 11.53/11.73 apply (zenon_L688_); trivial. % 11.53/11.73 apply (zenon_L362_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.73 apply (zenon_L9_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.73 apply (zenon_L46_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.73 apply (zenon_L693_); trivial. % 11.53/11.73 apply (zenon_L219_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L198_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L680_); trivial. % 11.53/11.73 apply (zenon_L362_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H4a | zenon_intro zenon_H31d ]. % 11.53/11.73 apply (zenon_L13_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H31e ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H55. zenon_intro zenon_H1f7. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H6a. zenon_intro zenon_H4c. % 11.53/11.73 apply (zenon_L22_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_Hca | zenon_intro zenon_H31f ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbe. zenon_intro zenon_Hcb. % 11.53/11.73 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_H9a. zenon_intro zenon_H4c. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H14f. zenon_intro zenon_H8c. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L350_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L115_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L254_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L694_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L533_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L198_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L71_); trivial. % 11.53/11.73 apply (zenon_L699_); trivial. % 11.53/11.73 apply (zenon_L56_); trivial. % 11.53/11.73 apply (zenon_L82_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L14_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L700_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L115_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L254_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L694_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_L17_); trivial. % 11.53/11.73 apply (zenon_L56_); trivial. % 11.53/11.73 apply (zenon_L82_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L702_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L10_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L254_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L694_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.73 apply (zenon_L71_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.73 apply (zenon_L101_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.73 apply (zenon_L317_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H38 | zenon_intro zenon_H16d ]. % 11.53/11.73 apply (zenon_L420_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8d | zenon_intro zenon_H16e ]. % 11.53/11.73 apply (zenon_L53_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H144 | zenon_intro zenon_H16a ]. % 11.53/11.73 apply (zenon_L703_); trivial. % 11.53/11.73 apply (zenon_L110_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_L312_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_L101_); trivial. % 11.53/11.73 apply (zenon_L430_); trivial. % 11.53/11.73 apply (zenon_L42_); trivial. % 11.53/11.73 apply (zenon_L82_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L192_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L700_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L115_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L235_); trivial. % 11.53/11.73 apply (zenon_L82_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L701_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L198_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L229_); trivial. % 11.53/11.73 apply (zenon_L234_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L115_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L235_); trivial. % 11.53/11.73 apply (zenon_L82_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L195_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.73 apply (zenon_L195_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.73 apply (zenon_L704_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.73 apply (zenon_L708_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L709_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_L312_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_L101_); trivial. % 11.53/11.73 apply (zenon_L207_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_L674_); trivial. % 11.53/11.73 apply (zenon_L337_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L711_); trivial. % 11.53/11.73 apply (zenon_L338_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L115_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L682_); trivial. % 11.53/11.73 apply (zenon_L82_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H29b | zenon_intro zenon_H322 ]. % 11.53/11.73 apply (zenon_L509_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H15c | zenon_intro zenon_H323 ]. % 11.53/11.73 apply (zenon_L104_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H163 | zenon_intro zenon_H324 ]. % 11.53/11.73 apply (zenon_L108_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H239 | zenon_intro zenon_H325 ]. % 11.53/11.73 apply (zenon_L712_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H271 | zenon_intro zenon_H326 ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_Ha9. zenon_intro zenon_H272. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_H129. zenon_intro zenon_H1be. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L350_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L350_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L687_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L533_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L198_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L278_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.73 apply (zenon_L65_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.73 apply (zenon_L263_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.73 apply (zenon_L154_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.73 apply (zenon_L713_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.73 apply (zenon_L714_); trivial. % 11.53/11.73 apply (zenon_L158_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.73 apply (zenon_L243_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.73 apply (zenon_L49_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.73 apply (zenon_L211_); trivial. % 11.53/11.73 apply (zenon_L611_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_L68_); trivial. % 11.53/11.73 apply (zenon_L241_); trivial. % 11.53/11.73 apply (zenon_L233_); trivial. % 11.53/11.73 apply (zenon_L38_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L716_); trivial. % 11.53/11.73 apply (zenon_L88_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.73 apply (zenon_L717_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.73 apply (zenon_L718_); trivial. % 11.53/11.73 apply (zenon_L338_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H1bc | zenon_intro zenon_H327 ]. % 11.53/11.73 apply (zenon_L162_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H25c | zenon_intro zenon_H1ec ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H127. zenon_intro zenon_H25d. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H12b. zenon_intro zenon_H1be. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L351_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L715_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L168_); trivial. % 11.53/11.73 apply (zenon_L160_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.73 apply (zenon_L717_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.73 apply (zenon_L718_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L719_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L647_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L720_); trivial. % 11.53/11.73 apply (zenon_L348_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L719_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L719_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L724_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L198_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L726_); trivial. % 11.53/11.73 apply (zenon_L362_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_L17_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L732_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_L735_); trivial. % 11.53/11.73 apply (zenon_L337_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L242_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L278_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L196_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L732_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_L734_); trivial. % 11.53/11.73 apply (zenon_L337_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_L236_); trivial. % 11.53/11.73 apply (zenon_L163_); trivial. % 11.53/11.73 apply (zenon_L362_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L254_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L44_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L46_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_L736_); trivial. % 11.53/11.73 apply (zenon_L181_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L198_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L71_); trivial. % 11.53/11.73 apply (zenon_L362_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_L17_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L732_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.73 apply (zenon_L736_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.73 apply (zenon_L12_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.73 apply (zenon_L29_); trivial. % 11.53/11.73 apply (zenon_L733_); trivial. % 11.53/11.73 apply (zenon_L337_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L198_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L71_); trivial. % 11.53/11.73 apply (zenon_L362_); trivial. % 11.53/11.73 apply (zenon_L348_); trivial. % 11.53/11.73 apply (zenon_L185_); trivial. % 11.53/11.73 apply (zenon_L189_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H342 | zenon_intro zenon_H341 ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H160. zenon_intro zenon_H343. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H161. zenon_intro zenon_H15e. % 11.53/11.73 exact (zenon_H161 zenon_H160). % 11.53/11.73 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H345 | zenon_intro zenon_H344 ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H167. zenon_intro zenon_H346. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H195. zenon_intro zenon_H1be. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H25 | zenon_intro zenon_H318 ]. % 11.53/11.73 apply (zenon_L4_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H31 | zenon_intro zenon_H319 ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H2b. zenon_intro zenon_H27. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H27c. zenon_intro zenon_H331. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H295. zenon_intro zenon_H288. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L469_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L10_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L469_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L44_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_L738_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L196_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_L417_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.73 apply (zenon_L116_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.73 apply (zenon_L79_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.73 apply (zenon_L134_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.73 apply (zenon_L27_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.53/11.73 apply (zenon_L742_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.53/11.73 apply (zenon_L745_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.53/11.73 exact (zenon_H195 zenon_H112). % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.73 apply (zenon_L185_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.73 apply (zenon_L292_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.73 apply (zenon_L410_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.53/11.73 apply (zenon_L747_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.53/11.73 apply (zenon_L585_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.53/11.73 apply (zenon_L121_); trivial. % 11.53/11.73 apply (zenon_L175_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.73 apply (zenon_L745_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.53/11.73 apply (zenon_L738_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.53/11.73 apply (zenon_L755_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.53/11.73 apply (zenon_L124_); trivial. % 11.53/11.73 apply (zenon_L121_); trivial. % 11.53/11.73 apply (zenon_L143_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L196_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_L417_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.73 apply (zenon_L756_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.73 apply (zenon_L79_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.73 apply (zenon_L134_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H81 | zenon_intro zenon_Hc5 ]. % 11.53/11.73 apply (zenon_L27_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc6 ]. % 11.53/11.73 apply (zenon_L117_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 11.53/11.73 apply (zenon_L757_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.53/11.73 apply (zenon_L738_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.53/11.73 apply (zenon_L760_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.53/11.73 apply (zenon_L124_); trivial. % 11.53/11.73 apply (zenon_L121_); trivial. % 11.53/11.73 apply (zenon_L143_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L392_); trivial. % 11.53/11.73 apply (zenon_L448_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L756_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L532_); trivial. % 11.53/11.73 apply (zenon_L148_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L469_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L44_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_L738_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L196_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_L417_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.73 apply (zenon_L761_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.73 apply (zenon_L79_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.73 apply (zenon_L134_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5b | zenon_intro zenon_H147 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.73 apply (zenon_L767_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.73 apply (zenon_L435_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.73 apply (zenon_L779_); trivial. % 11.53/11.73 apply (zenon_L740_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 11.53/11.73 apply (zenon_L114_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 11.53/11.73 apply (zenon_L779_); trivial. % 11.53/11.73 apply (zenon_L109_); trivial. % 11.53/11.73 apply (zenon_L143_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L756_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L532_); trivial. % 11.53/11.73 apply (zenon_L152_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H31a ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H35. zenon_intro zenon_H1f1. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H5b. zenon_intro zenon_H27. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H27c. zenon_intro zenon_H331. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H295. zenon_intro zenon_H288. % 11.53/11.73 apply (zenon_L767_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H25e | zenon_intro zenon_H31b ]. % 11.53/11.73 apply (zenon_L327_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H293 | zenon_intro zenon_H31c ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H59. zenon_intro zenon_H294. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H3e. zenon_intro zenon_H4c. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H14f. zenon_intro zenon_H8c. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L533_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L242_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L278_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_L113_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_L146_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L351_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L243_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L75_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L44_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L46_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L311_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.53/11.73 apply (zenon_L330_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.53/11.73 apply (zenon_L50_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.53/11.73 exact (zenon_H195 zenon_H112). % 11.53/11.73 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H38 | zenon_intro zenon_H16d ]. % 11.53/11.73 apply (zenon_L780_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8d | zenon_intro zenon_H16e ]. % 11.53/11.73 apply (zenon_L180_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H144 | zenon_intro zenon_H16a ]. % 11.53/11.73 apply (zenon_L109_); trivial. % 11.53/11.73 apply (zenon_L582_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_L208_); trivial. % 11.53/11.73 apply (zenon_L143_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.73 apply (zenon_L10_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.73 apply (zenon_L46_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L113_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.73 apply (zenon_L243_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.73 apply (zenon_L69_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.73 apply (zenon_L782_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.73 apply (zenon_L785_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.53/11.73 apply (zenon_L72_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.53/11.73 apply (zenon_L49_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.53/11.73 apply (zenon_L121_); trivial. % 11.53/11.73 apply (zenon_L786_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.73 apply (zenon_L95_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.53/11.73 apply (zenon_L561_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.53/11.73 apply (zenon_L53_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.53/11.73 apply (zenon_L121_); trivial. % 11.53/11.73 apply (zenon_L314_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_L101_); trivial. % 11.53/11.73 apply (zenon_L143_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L311_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_L782_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_L92_); trivial. % 11.53/11.73 apply (zenon_L102_); trivial. % 11.53/11.73 apply (zenon_L148_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.73 apply (zenon_L10_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L192_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L46_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_L435_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.73 apply (zenon_L10_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.73 apply (zenon_L46_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.73 apply (zenon_L329_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L113_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_L417_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_L524_); trivial. % 11.53/11.73 apply (zenon_L102_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L242_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L229_); trivial. % 11.53/11.73 apply (zenon_L148_); trivial. % 11.53/11.73 apply (zenon_L185_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L44_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L46_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.53/11.73 apply (zenon_L787_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.53/11.73 apply (zenon_L50_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.53/11.73 exact (zenon_H195 zenon_H112). % 11.53/11.73 apply (zenon_L780_); trivial. % 11.53/11.73 apply (zenon_L337_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H4a | zenon_intro zenon_H31d ]. % 11.53/11.73 apply (zenon_L13_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H31e ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H55. zenon_intro zenon_H1f7. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H6a. zenon_intro zenon_H4c. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H14f. zenon_intro zenon_H8c. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L350_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L40_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L788_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L350_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L16_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_L41_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L789_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L789_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L351_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L342_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L787_); trivial. % 11.53/11.73 apply (zenon_L88_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_L146_); trivial. % 11.53/11.73 apply (zenon_L492_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L278_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L351_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L342_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L75_); trivial. % 11.53/11.73 apply (zenon_L88_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_L146_); trivial. % 11.53/11.73 apply (zenon_L163_); trivial. % 11.53/11.73 apply (zenon_L148_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L14_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.73 apply (zenon_L8_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.73 apply (zenon_L29_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.73 apply (zenon_L397_); trivial. % 11.53/11.73 apply (zenon_L790_); trivial. % 11.53/11.73 apply (zenon_L185_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.73 apply (zenon_L791_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L350_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L40_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L788_); trivial. % 11.53/11.73 apply (zenon_L348_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L792_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L40_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L793_); trivial. % 11.53/11.73 apply (zenon_L348_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L789_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L789_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L195_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L342_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L787_); trivial. % 11.53/11.73 apply (zenon_L338_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_L146_); trivial. % 11.53/11.73 apply (zenon_L492_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L789_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_L794_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_L658_); trivial. % 11.53/11.73 apply (zenon_L69_); trivial. % 11.53/11.73 apply (zenon_L362_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L40_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L659_); trivial. % 11.53/11.73 apply (zenon_L348_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_Hca | zenon_intro zenon_H31f ]. % 11.53/11.73 apply (zenon_L349_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H29b | zenon_intro zenon_H322 ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_Hec. zenon_intro zenon_H29c. % 11.53/11.73 apply (zenon_L146_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H15c | zenon_intro zenon_H323 ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H69. zenon_intro zenon_H15d. % 11.53/11.73 apply (zenon_L134_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H163 | zenon_intro zenon_H324 ]. % 11.53/11.73 apply (zenon_L108_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H239 | zenon_intro zenon_H325 ]. % 11.53/11.73 apply (zenon_L364_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H271 | zenon_intro zenon_H326 ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_Ha9. zenon_intro zenon_H272. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_H129. zenon_intro zenon_H1be. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L350_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L797_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L533_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L795_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L71_); trivial. % 11.53/11.73 apply (zenon_L148_); trivial. % 11.53/11.73 apply (zenon_L88_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L14_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.73 apply (zenon_L283_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.73 apply (zenon_L799_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.73 apply (zenon_L806_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.73 apply (zenon_L368_); trivial. % 11.53/11.73 apply (zenon_L164_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.73 apply (zenon_L789_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H38 | zenon_intro zenon_H16d ]. % 11.53/11.73 apply (zenon_L9_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8d | zenon_intro zenon_H16e ]. % 11.53/11.73 apply (zenon_L53_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H144 | zenon_intro zenon_H16a ]. % 11.53/11.73 apply (zenon_L109_); trivial. % 11.53/11.73 apply (zenon_L158_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L18_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L799_); trivial. % 11.53/11.73 apply (zenon_L148_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L10_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L801_); trivial. % 11.53/11.73 apply (zenon_L88_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_L821_); trivial. % 11.53/11.73 apply (zenon_L154_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.73 apply (zenon_L810_); trivial. % 11.53/11.73 apply (zenon_L338_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H1bc | zenon_intro zenon_H327 ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_He2. zenon_intro zenon_H1bd. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_Hc2. zenon_intro zenon_H1be. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1e4. zenon_intro zenon_H1ee. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b7. zenon_intro zenon_H1ef. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1bf. zenon_intro zenon_H1b0. % 11.53/11.73 apply (zenon_L827_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H25c | zenon_intro zenon_H1ec ]. % 11.53/11.73 apply (zenon_L425_); trivial. % 11.53/11.73 apply (zenon_L188_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H348 | zenon_intro zenon_H347 ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_Ha9. zenon_intro zenon_H349. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H1af. zenon_intro zenon_H27. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H27c. zenon_intro zenon_H331. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H295. zenon_intro zenon_H288. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H25 | zenon_intro zenon_H318 ]. % 11.53/11.73 apply (zenon_L4_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H31 | zenon_intro zenon_H319 ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H2b. zenon_intro zenon_H27. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H27c. zenon_intro zenon_H331. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H295. zenon_intro zenon_H288. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L469_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L437_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L469_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L44_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L266_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.73 apply (zenon_L44_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L196_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_L829_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.73 apply (zenon_L459_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.73 apply (zenon_L79_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.73 apply (zenon_L800_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.73 apply (zenon_L154_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.73 apply (zenon_L155_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H38 | zenon_intro zenon_H16d ]. % 11.53/11.73 apply (zenon_L9_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8d | zenon_intro zenon_H16e ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.53/11.73 apply (zenon_L150_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.53/11.73 apply (zenon_L76_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.53/11.73 apply (zenon_L457_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H38 | zenon_intro zenon_H2a5 ]. % 11.53/11.73 apply (zenon_L337_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H2a6 ]. % 11.53/11.73 apply (zenon_L36_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L830_); trivial. % 11.53/11.73 apply (zenon_L448_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H144 | zenon_intro zenon_H16a ]. % 11.53/11.73 apply (zenon_L834_); trivial. % 11.53/11.73 exact (zenon_H1af zenon_H16a). % 11.53/11.73 exact (zenon_H1af zenon_H16a). % 11.53/11.73 apply (zenon_L835_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.73 apply (zenon_L837_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.53/11.73 apply (zenon_L10_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L196_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_L829_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.73 apply (zenon_L633_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.73 apply (zenon_L79_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.73 apply (zenon_L800_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.73 apply (zenon_L154_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.73 apply (zenon_L292_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H38 | zenon_intro zenon_H16d ]. % 11.53/11.73 apply (zenon_L9_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8d | zenon_intro zenon_H16e ]. % 11.53/11.73 apply (zenon_L53_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H144 | zenon_intro zenon_H16a ]. % 11.53/11.73 apply (zenon_L834_); trivial. % 11.53/11.73 exact (zenon_H1af zenon_H16a). % 11.53/11.73 exact (zenon_H1af zenon_H16a). % 11.53/11.73 apply (zenon_L835_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.53/11.73 apply (zenon_L41_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L196_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_L829_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.73 apply (zenon_L459_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.73 apply (zenon_L79_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.73 apply (zenon_L67_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.73 apply (zenon_L155_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H38 | zenon_intro zenon_H16d ]. % 11.53/11.73 apply (zenon_L9_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8d | zenon_intro zenon_H16e ]. % 11.53/11.73 apply (zenon_L53_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H144 | zenon_intro zenon_H16a ]. % 11.53/11.73 apply (zenon_L832_); trivial. % 11.53/11.73 exact (zenon_H1af zenon_H16a). % 11.53/11.73 exact (zenon_H1af zenon_H16a). % 11.53/11.73 apply (zenon_L76_); trivial. % 11.53/11.73 apply (zenon_L838_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L392_); trivial. % 11.53/11.73 apply (zenon_L448_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L633_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L71_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L266_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.73 apply (zenon_L65_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.73 apply (zenon_L830_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.73 apply (zenon_L837_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.73 apply (zenon_L67_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.73 apply (zenon_L155_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.73 apply (zenon_L840_); trivial. % 11.53/11.73 exact (zenon_H1af zenon_H16a). % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L392_); trivial. % 11.53/11.73 apply (zenon_L233_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_L196_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_L68_); trivial. % 11.53/11.73 apply (zenon_L241_); trivial. % 11.53/11.73 apply (zenon_L38_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L469_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L44_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L266_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L451_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.73 apply (zenon_L196_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.73 apply (zenon_L451_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.73 apply (zenon_L67_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.73 apply (zenon_L155_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.73 apply (zenon_L845_); trivial. % 11.53/11.73 exact (zenon_H1af zenon_H16a). % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.73 apply (zenon_L62_); trivial. % 11.53/11.73 apply (zenon_L375_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.73 apply (zenon_L843_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.73 apply (zenon_L67_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.73 apply (zenon_L155_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.73 apply (zenon_L849_); trivial. % 11.53/11.73 exact (zenon_H1af zenon_H16a). % 11.53/11.73 apply (zenon_L88_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L633_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L461_); trivial. % 11.53/11.73 apply (zenon_L152_); trivial. % 11.53/11.73 apply (zenon_L38_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H31a ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H35. zenon_intro zenon_H1f1. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H5b. zenon_intro zenon_H27. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H27c. zenon_intro zenon_H331. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H295. zenon_intro zenon_H288. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L439_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L266_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H38 | zenon_intro zenon_H16d ]. % 11.53/11.73 apply (zenon_L191_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H8d | zenon_intro zenon_H16e ]. % 11.53/11.73 apply (zenon_L676_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H144 | zenon_intro zenon_H16a ]. % 11.53/11.73 apply (zenon_L570_); trivial. % 11.53/11.73 exact (zenon_H1af zenon_H16a). % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L201_); trivial. % 11.53/11.73 apply (zenon_L448_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_L70_); trivial. % 11.53/11.73 apply (zenon_L241_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L437_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L235_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L266_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L451_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L201_); trivial. % 11.53/11.73 apply (zenon_L88_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H25e | zenon_intro zenon_H31b ]. % 11.53/11.73 apply (zenon_L454_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H293 | zenon_intro zenon_H31c ]. % 11.53/11.73 apply (zenon_L460_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H4a | zenon_intro zenon_H31d ]. % 11.53/11.73 apply (zenon_L13_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H31e ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H55. zenon_intro zenon_H1f7. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H6a. zenon_intro zenon_H4c. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H14f. zenon_intro zenon_H8c. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.73 apply (zenon_L3_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L14_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L469_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L10_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L850_); trivial. % 11.53/11.73 apply (zenon_L39_); trivial. % 11.53/11.73 apply (zenon_L154_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L192_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L439_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_L851_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_L70_); trivial. % 11.53/11.73 apply (zenon_L241_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L437_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L235_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L439_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L116_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_L851_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_L658_); trivial. % 11.53/11.73 apply (zenon_L241_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L461_); trivial. % 11.53/11.73 apply (zenon_L152_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L16_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_L41_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hfd | zenon_intro zenon_H23c ]. % 11.53/11.73 apply (zenon_L201_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H23d ]. % 11.53/11.73 apply (zenon_L341_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H112 | zenon_intro zenon_H127 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H16a | zenon_intro zenon_H2af ]. % 11.53/11.73 exact (zenon_H1af zenon_H16a). % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H2b0 ]. % 11.53/11.73 apply (zenon_L172_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H11b | zenon_intro zenon_H132 ]. % 11.53/11.73 apply (zenon_L852_); trivial. % 11.53/11.73 apply (zenon_L332_); trivial. % 11.53/11.73 apply (zenon_L174_); trivial. % 11.53/11.73 apply (zenon_L154_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L853_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L116_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L195_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L342_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L346_); trivial. % 11.53/11.73 apply (zenon_L448_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_L658_); trivial. % 11.53/11.73 apply (zenon_L241_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L461_); trivial. % 11.53/11.73 apply (zenon_L362_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L40_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L853_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L459_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L71_); trivial. % 11.53/11.73 apply (zenon_L362_); trivial. % 11.53/11.73 apply (zenon_L348_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_Hca | zenon_intro zenon_H31f ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbe. zenon_intro zenon_Hcb. % 11.53/11.73 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_H9a. zenon_intro zenon_H4c. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H14f. zenon_intro zenon_H8c. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.73 apply (zenon_L3_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L3_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L195_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L861_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L710_); trivial. % 11.53/11.73 apply (zenon_L448_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L10_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L254_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L46_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_L674_); trivial. % 11.53/11.73 apply (zenon_L53_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_L17_); trivial. % 11.53/11.73 apply (zenon_L56_); trivial. % 11.53/11.73 apply (zenon_L82_); trivial. % 11.53/11.73 apply (zenon_L154_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L3_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L439_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L863_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L229_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L195_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L861_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L201_); trivial. % 11.53/11.73 apply (zenon_L233_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L437_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L235_); trivial. % 11.53/11.73 apply (zenon_L82_); trivial. % 11.53/11.73 apply (zenon_L154_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L3_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L453_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L861_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L710_); trivial. % 11.53/11.73 apply (zenon_L448_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L115_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L864_); trivial. % 11.53/11.73 apply (zenon_L348_); trivial. % 11.53/11.73 apply (zenon_L154_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H29b | zenon_intro zenon_H322 ]. % 11.53/11.73 apply (zenon_L462_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H15c | zenon_intro zenon_H323 ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H69. zenon_intro zenon_H15d. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H10c. zenon_intro zenon_H15e. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.53/11.73 apply (zenon_L867_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H163 | zenon_intro zenon_H324 ]. % 11.53/11.73 apply (zenon_L108_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H239 | zenon_intro zenon_H325 ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H167. zenon_intro zenon_H23a. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H103. zenon_intro zenon_H15e. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.73 apply (zenon_L3_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L3_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L828_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_L94_); trivial. % 11.53/11.73 apply (zenon_L154_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L3_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L195_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L466_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L201_); trivial. % 11.53/11.73 apply (zenon_L448_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L437_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L235_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L869_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L272_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L229_); trivial. % 11.53/11.73 apply (zenon_L152_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_L94_); trivial. % 11.53/11.73 apply (zenon_L154_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L3_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H19e ]. % 11.53/11.73 apply (zenon_L466_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbc | zenon_intro zenon_H19f ]. % 11.53/11.73 apply (zenon_L507_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hda | zenon_intro zenon_He2 ]. % 11.53/11.73 apply (zenon_L508_); trivial. % 11.53/11.73 apply (zenon_L375_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L272_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L461_); trivial. % 11.53/11.73 apply (zenon_L362_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_L94_); trivial. % 11.53/11.73 apply (zenon_L154_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H271 | zenon_intro zenon_H326 ]. % 11.53/11.73 apply (zenon_L467_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H1bc | zenon_intro zenon_H327 ]. % 11.53/11.73 apply (zenon_L391_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H25c | zenon_intro zenon_H1ec ]. % 11.53/11.73 apply (zenon_L422_); trivial. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H132. zenon_intro zenon_H1ed. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H132. zenon_intro zenon_H1be. % 11.53/11.73 apply (zenon_L332_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H34b | zenon_intro zenon_H34a ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_He2. zenon_intro zenon_H34c. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H258. zenon_intro zenon_H4c. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H14f. zenon_intro zenon_H8c. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H25 | zenon_intro zenon_H318 ]. % 11.53/11.73 apply (zenon_L4_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H31 | zenon_intro zenon_H319 ]. % 11.53/11.73 apply (zenon_L7_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H31a ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H35. zenon_intro zenon_H1f1. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H5b. zenon_intro zenon_H27. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H27c. zenon_intro zenon_H331. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.73 apply (zenon_L141_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.73 apply (zenon_L322_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.73 apply (zenon_L308_); trivial. % 11.53/11.73 apply (zenon_L875_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L437_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_L235_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L877_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_L879_); trivial. % 11.53/11.73 apply (zenon_L881_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L116_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_L884_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_L70_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L886_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_L879_); trivial. % 11.53/11.73 apply (zenon_L881_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L229_); trivial. % 11.53/11.73 apply (zenon_L152_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H25e | zenon_intro zenon_H31b ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H38. zenon_intro zenon_H25f. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_Hb5. zenon_intro zenon_H27. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H27c. zenon_intro zenon_H331. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L453_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L309_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.53/11.73 apply (zenon_L437_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.53/11.73 apply (zenon_L12_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.53/11.73 apply (zenon_L398_); trivial. % 11.53/11.73 apply (zenon_L63_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H33 | zenon_intro zenon_H210 ]. % 11.53/11.73 apply (zenon_L9_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H88 | zenon_intro zenon_H211 ]. % 11.53/11.73 apply (zenon_L213_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H13b | zenon_intro zenon_H1aa ]. % 11.53/11.73 apply (zenon_L878_); trivial. % 11.53/11.73 apply (zenon_L219_); trivial. % 11.53/11.73 apply (zenon_L337_); trivial. % 11.53/11.73 apply (zenon_L338_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H293 | zenon_intro zenon_H31c ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H59. zenon_intro zenon_H294. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H3e. zenon_intro zenon_H4c. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H14f. zenon_intro zenon_H8c. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L533_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L242_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L533_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_L113_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_L615_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L351_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L243_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L889_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L46_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_L887_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hec | zenon_intro zenon_H277 ]. % 11.53/11.73 apply (zenon_L86_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H69 | zenon_intro zenon_H278 ]. % 11.53/11.73 apply (zenon_L541_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H160 | zenon_intro zenon_H167 ]. % 11.53/11.73 apply (zenon_L424_); trivial. % 11.53/11.73 apply (zenon_L890_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L351_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L309_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_L889_); trivial. % 11.53/11.73 apply (zenon_L233_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.73 apply (zenon_L10_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L192_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_L891_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L67_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L46_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_L887_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.73 apply (zenon_L229_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.73 apply (zenon_L101_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.53/11.73 apply (zenon_L72_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.53/11.73 apply (zenon_L53_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.53/11.73 apply (zenon_L892_); trivial. % 11.53/11.73 exact (zenon_H258 zenon_Ha3). % 11.53/11.73 apply (zenon_L872_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L242_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L229_); trivial. % 11.53/11.73 apply (zenon_L893_); trivial. % 11.53/11.73 apply (zenon_L894_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H4a | zenon_intro zenon_H31d ]. % 11.53/11.73 apply (zenon_L13_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H31e ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H55. zenon_intro zenon_H1f7. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H6a. zenon_intro zenon_H4c. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H14f. zenon_intro zenon_H8c. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L350_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L40_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.73 apply (zenon_L254_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.73 apply (zenon_L16_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.73 apply (zenon_L41_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L876_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.53/11.73 apply (zenon_L895_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.53/11.73 apply (zenon_L265_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.53/11.73 apply (zenon_L394_); trivial. % 11.53/11.73 exact (zenon_H258 zenon_Ha3). % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L71_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L533_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_L882_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.73 apply (zenon_L351_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.73 apply (zenon_L309_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.73 apply (zenon_L351_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L27_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.73 apply (zenon_L345_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.73 apply (zenon_L20_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.73 apply (zenon_L22_); trivial. % 11.53/11.73 apply (zenon_L367_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_L29_); trivial. % 11.53/11.73 apply (zenon_L31_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.73 apply (zenon_L93_); trivial. % 11.53/11.73 apply (zenon_L375_); trivial. % 11.53/11.73 apply (zenon_L233_); trivial. % 11.53/11.73 apply (zenon_L163_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_L876_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.73 apply (zenon_L895_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.73 apply (zenon_L561_); trivial. % 11.53/11.73 apply (zenon_L152_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L14_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.73 apply (zenon_L876_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.73 apply (zenon_L882_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.73 apply (zenon_L70_); trivial. % 11.53/11.73 apply (zenon_L885_); trivial. % 11.53/11.73 apply (zenon_L896_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L192_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.53/11.73 apply (zenon_L900_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.53/11.73 apply (zenon_L265_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.53/11.73 apply (zenon_L394_); trivial. % 11.53/11.73 exact (zenon_H258 zenon_Ha3). % 11.53/11.73 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.53/11.73 apply (zenon_L63_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.53/11.73 apply (zenon_L35_); trivial. % 11.53/11.73 exact (zenon_H258 zenon_Ha3). % 11.53/11.73 apply (zenon_L896_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H24b ]. % 11.53/11.73 apply (zenon_L348_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hbe | zenon_intro zenon_H24c ]. % 11.53/11.73 apply (zenon_L265_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha3 ]. % 11.53/11.73 apply (zenon_L394_); trivial. % 11.53/11.73 exact (zenon_H258 zenon_Ha3). % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_Hca | zenon_intro zenon_H31f ]. % 11.53/11.73 apply (zenon_L64_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H29b | zenon_intro zenon_H322 ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_Hec. zenon_intro zenon_H29c. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_Hf0. zenon_intro zenon_H15e. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H6d | zenon_intro zenon_H263 ]. % 11.53/11.73 apply (zenon_L351_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H81 | zenon_intro zenon_H264 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.73 apply (zenon_L27_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.73 apply (zenon_L901_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.73 apply (zenon_L597_); trivial. % 11.53/11.73 apply (zenon_L31_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H93 | zenon_intro zenon_Ha9 ]. % 11.53/11.73 apply (zenon_L93_); trivial. % 11.53/11.73 apply (zenon_L375_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H3e | zenon_intro zenon_H19c ]. % 11.53/11.73 apply (zenon_L10_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H44 | zenon_intro zenon_H19d ]. % 11.53/11.73 apply (zenon_L12_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H6a | zenon_intro zenon_H9a ]. % 11.53/11.73 apply (zenon_L73_); trivial. % 11.53/11.73 apply (zenon_L63_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.73 apply (zenon_L229_); trivial. % 11.53/11.73 apply (zenon_L902_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H15c | zenon_intro zenon_H323 ]. % 11.53/11.73 apply (zenon_L104_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H163 | zenon_intro zenon_H324 ]. % 11.53/11.73 apply (zenon_L108_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H239 | zenon_intro zenon_H325 ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H167. zenon_intro zenon_H23a. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H103. zenon_intro zenon_H15e. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_L350_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.73 apply (zenon_L904_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H5c | zenon_intro zenon_H17e ]. % 11.53/11.73 apply (zenon_L906_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H6a | zenon_intro zenon_H17f ]. % 11.53/11.73 apply (zenon_L73_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H179 | zenon_intro zenon_H17b ]. % 11.53/11.73 apply (zenon_L124_); trivial. % 11.53/11.73 apply (zenon_L121_); trivial. % 11.53/11.73 apply (zenon_L907_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L14_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_L94_); trivial. % 11.53/11.73 apply (zenon_L872_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.73 apply (zenon_L192_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.73 apply (zenon_L6_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.73 apply (zenon_L94_); trivial. % 11.53/11.73 apply (zenon_L872_); trivial. % 11.53/11.73 apply (zenon_L902_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H271 | zenon_intro zenon_H326 ]. % 11.53/11.73 apply (zenon_L611_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H1bc | zenon_intro zenon_H327 ]. % 11.53/11.73 apply (zenon_L162_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H25c | zenon_intro zenon_H1ec ]. % 11.53/11.73 apply (zenon_L728_); trivial. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H132. zenon_intro zenon_H1ed. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H132. zenon_intro zenon_H1be. % 11.53/11.73 apply (zenon_L257_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H34e | zenon_intro zenon_H34d ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H127. zenon_intro zenon_H34f. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H1c5. zenon_intro zenon_H15e. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H25 | zenon_intro zenon_H318 ]. % 11.53/11.73 apply (zenon_L4_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H31 | zenon_intro zenon_H319 ]. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H2b. zenon_intro zenon_H27. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H27c. zenon_intro zenon_H331. % 11.53/11.73 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H295. zenon_intro zenon_H288. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.73 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.73 apply (zenon_L283_); trivial. % 11.53/11.73 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.74 apply (zenon_L196_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.74 apply (zenon_L908_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.74 apply (zenon_L910_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.74 apply (zenon_L79_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.74 apply (zenon_L919_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.74 apply (zenon_L8_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.74 apply (zenon_L208_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.74 apply (zenon_L925_); trivial. % 11.53/11.74 apply (zenon_L410_); trivial. % 11.53/11.74 apply (zenon_L926_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.74 apply (zenon_L927_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.74 apply (zenon_L196_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.74 apply (zenon_L908_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.74 apply (zenon_L910_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.74 apply (zenon_L79_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.74 apply (zenon_L919_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.74 apply (zenon_L8_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.74 apply (zenon_L208_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.74 apply (zenon_L930_); trivial. % 11.53/11.74 apply (zenon_L410_); trivial. % 11.53/11.74 apply (zenon_L926_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.74 apply (zenon_L8_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.74 apply (zenon_L302_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.74 apply (zenon_L931_); trivial. % 11.53/11.74 apply (zenon_L410_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.74 apply (zenon_L461_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.74 apply (zenon_L196_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.74 apply (zenon_L932_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.74 apply (zenon_L910_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.74 apply (zenon_L79_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.74 apply (zenon_L919_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.74 apply (zenon_L8_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.74 apply (zenon_L208_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.74 apply (zenon_L935_); trivial. % 11.53/11.74 apply (zenon_L410_); trivial. % 11.53/11.74 apply (zenon_L926_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.74 apply (zenon_L196_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.74 apply (zenon_L196_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.74 apply (zenon_L932_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.74 apply (zenon_L936_); trivial. % 11.53/11.74 apply (zenon_L938_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.74 apply (zenon_L196_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.74 apply (zenon_L932_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.74 apply (zenon_L910_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.74 apply (zenon_L79_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.74 apply (zenon_L919_); trivial. % 11.53/11.74 apply (zenon_L173_); trivial. % 11.53/11.74 apply (zenon_L942_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.74 apply (zenon_L10_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H96 | zenon_intro zenon_Hac ]. % 11.53/11.74 apply (zenon_L254_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H59 | zenon_intro zenon_Had ]. % 11.53/11.74 apply (zenon_L44_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.74 apply (zenon_L196_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.74 apply (zenon_L908_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.74 apply (zenon_L910_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.74 apply (zenon_L79_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.74 apply (zenon_L919_); trivial. % 11.53/11.74 apply (zenon_L943_); trivial. % 11.53/11.74 apply (zenon_L944_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a8 ]. % 11.53/11.74 apply (zenon_L459_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a4 ]. % 11.53/11.74 apply (zenon_L71_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a1 ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H59 | zenon_intro zenon_He6 ]. % 11.53/11.74 apply (zenon_L65_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H44 | zenon_intro zenon_He7 ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.74 apply (zenon_L196_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.74 apply (zenon_L932_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.74 apply (zenon_L910_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.74 apply (zenon_L79_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.74 apply (zenon_L919_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1db ]. % 11.53/11.74 apply (zenon_L67_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1dc ]. % 11.53/11.74 apply (zenon_L155_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H16a ]. % 11.53/11.74 apply (zenon_L410_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha6 ]. % 11.53/11.74 apply (zenon_L945_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha7 ]. % 11.53/11.74 apply (zenon_L214_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha3 ]. % 11.53/11.74 apply (zenon_L170_); trivial. % 11.53/11.74 apply (zenon_L175_); trivial. % 11.53/11.74 apply (zenon_L926_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H55 | zenon_intro zenon_Hbe ]. % 11.53/11.74 apply (zenon_L946_); trivial. % 11.53/11.74 apply (zenon_L933_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1a2 ]. % 11.53/11.74 apply (zenon_L196_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.53/11.74 apply (zenon_L68_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H158 ]. % 11.53/11.74 apply (zenon_L196_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H65 | zenon_intro zenon_H159 ]. % 11.53/11.74 apply (zenon_L932_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H10c | zenon_intro zenon_H11a ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 11.53/11.74 apply (zenon_L910_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 11.53/11.74 apply (zenon_L79_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H69 | zenon_intro zenon_H6f ]. % 11.53/11.74 apply (zenon_L914_); trivial. % 11.53/11.74 apply (zenon_L173_); trivial. % 11.53/11.74 apply (zenon_L944_); trivial. % 11.53/11.74 apply (zenon_L922_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H35 | zenon_intro zenon_H253 ]. % 11.53/11.74 apply (zenon_L8_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8a | zenon_intro zenon_H254 ]. % 11.53/11.74 apply (zenon_L947_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H13e | zenon_intro zenon_H1ac ]. % 11.53/11.74 apply (zenon_L746_); trivial. % 11.53/11.74 apply (zenon_L410_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H31a ]. % 11.53/11.74 apply (zenon_L190_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H25e | zenon_intro zenon_H31b ]. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H38. zenon_intro zenon_H25f. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_Hb5. zenon_intro zenon_H27. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H21. zenon_intro zenon_H28. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H27c. zenon_intro zenon_H331. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H295. zenon_intro zenon_H288. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1c9 ]. % 11.53/11.74 apply (zenon_L453_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1ca ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc8 ]. % 11.53/11.74 apply (zenon_L67_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc9 ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hed | zenon_intro zenon_H121 ]. % 11.53/11.74 apply (zenon_L69_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H6f | zenon_intro zenon_H122 ]. % 11.53/11.74 apply (zenon_L501_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H103 | zenon_intro zenon_H11b ]. % 11.53/11.74 apply (zenon_L87_); trivial. % 11.53/11.74 exact (zenon_H1c5 zenon_H11b). % 11.53/11.74 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H8a | zenon_intro zenon_H8d ]. % 11.53/11.74 apply (zenon_L947_); trivial. % 11.53/11.74 apply (zenon_L337_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfd | zenon_intro zenon_H129 ]. % 11.53/11.74 apply (zenon_L168_); trivial. % 11.53/11.74 apply (zenon_L338_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H293 | zenon_intro zenon_H31c ]. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H59. zenon_intro zenon_H294. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H3e. zenon_intro zenon_H4c. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H14f. zenon_intro zenon_H8c. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H24f ]. % 11.53/11.74 apply (zenon_L972_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H10c | zenon_intro zenon_H250 ]. % 11.53/11.74 apply (zenon_L101_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H160 | zenon_intro zenon_H103 ]. % 11.53/11.74 apply (zenon_L106_); trivial. % 11.53/11.74 apply (zenon_L87_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.74 apply (zenon_L10_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.74 apply (zenon_L192_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.74 apply (zenon_L6_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.74 apply (zenon_L94_); trivial. % 11.53/11.74 apply (zenon_L966_); trivial. % 11.53/11.74 apply (zenon_L967_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H4a | zenon_intro zenon_H31d ]. % 11.53/11.74 apply (zenon_L13_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H31e ]. % 11.53/11.74 apply (zenon_L194_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_Hca | zenon_intro zenon_H31f ]. % 11.53/11.74 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbe. zenon_intro zenon_Hcb. % 11.53/11.74 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_H9a. zenon_intro zenon_H4c. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H46. zenon_intro zenon_H4e. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H14f. zenon_intro zenon_H8c. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H96 | zenon_intro zenon_H26e ]. % 11.53/11.74 apply (zenon_L350_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H3e | zenon_intro zenon_H26f ]. % 11.53/11.74 apply (zenon_L115_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha2 ]. % 11.53/11.74 apply (zenon_L973_); trivial. % 11.53/11.74 apply (zenon_L82_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H33 | zenon_intro zenon_H2ad ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.74 apply (zenon_L14_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.74 apply (zenon_L6_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.74 apply (zenon_L94_); trivial. % 11.53/11.74 apply (zenon_L928_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a0 ]. % 11.53/11.74 apply (zenon_L192_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a1 ]. % 11.53/11.74 apply (zenon_L6_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 11.53/11.74 apply (zenon_L94_); trivial. % 11.53/11.74 apply (zenon_L928_); trivial. % 11.53/11.74 apply (zenon_L974_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H29b | zenon_intro zenon_H322 ]. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_Hec. zenon_intro zenon_H29c. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_Hf0. zenon_intro zenon_H15e. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.53/11.74 apply (zenon_L964_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H15c | zenon_intro zenon_H323 ]. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H69. zenon_intro zenon_H15d. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H10c. zenon_intro zenon_H15e. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H135. zenon_intro zenon_H165. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf3. zenon_intro zenon_H166. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H140. zenon_intro zenon_H149. % 11.53/11.74 apply (zenon_L919_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H163 | zenon_intro zenon_H324 ]. % 11.53/11.74 apply (zenon_L107_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H239 | zenon_intro zenon_H325 ]. % 11.53/11.74 apply (zenon_L273_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H271 | zenon_intro zenon_H326 ]. % 11.53/11.74 apply (zenon_L548_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H1bc | zenon_intro zenon_H327 ]. % 11.53/11.74 apply (zenon_L975_); trivial. % 11.53/11.74 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H25c | zenon_intro zenon_H1ec ]. % 11.53/11.74 apply (zenon_L326_); trivial. % 11.53/11.74 apply (zenon_L976_); trivial. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H132. zenon_intro zenon_H350. % 11.53/11.74 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H1ea. zenon_intro zenon_H1be. % 11.53/11.74 exact (zenon_H1ea zenon_H132). % 11.53/11.74 Qed. % 11.53/11.74 % SZS output end Proof % 11.53/11.74 (* END-PROOF *) % 11.53/11.74 nodes searched: 202784 % 11.53/11.74 max branch formulas: 359 % 11.53/11.74 proof nodes created: 9992 % 11.53/11.74 formulas created: 86747 % 11.53/11.74 %------------------------------------------------------------------------------