%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG161+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 18:30:48 EDT 2022 % Result : Unsatisfiable 10.95s 11.18s % Output : Proof 11.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : ALG161+1 : TPTP v8.1.0. Released v2.7.0. % 0.06/0.12 % 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 : Wed Jun 8 06:35:10 EDT 2022 % 0.12/0.33 % CPUTime : % 10.95/11.18 (* PROOF-FOUND *) % 10.95/11.18 % SZS status Unsatisfiable % 10.95/11.18 (* BEGIN-PROOF *) % 10.95/11.18 % SZS output start Proof % 10.95/11.18 Theorem zenon_thm : False. % 10.95/11.18 Proof. % 10.95/11.18 assert (zenon_L1_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> False). % 10.95/11.18 do 0 intro. intros zenon_H1d zenon_H1e zenon_H1f. % 10.95/11.18 cut (((op (e0) (e0)) = (e1)) = ((op (e0) (e0)) = (op (e1) (e0)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H1d. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H1e. % 10.95/11.18 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 10.95/11.18 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 10.95/11.18 congruence. % 10.95/11.18 apply zenon_H21. apply refl_equal. % 10.95/11.18 apply zenon_H20. apply sym_equal. exact zenon_H1f. % 10.95/11.18 (* end of lemma zenon_L1_ *) % 10.95/11.18 assert (zenon_L2_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> False). % 10.95/11.18 do 0 intro. intros zenon_H22 zenon_H23 zenon_H24. % 10.95/11.18 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e1) (e1)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H22. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H23. % 10.95/11.18 cut (((e0) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H25]. % 10.95/11.18 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 10.95/11.18 congruence. % 10.95/11.18 apply zenon_H26. apply refl_equal. % 10.95/11.18 apply zenon_H25. apply sym_equal. exact zenon_H24. % 10.95/11.18 (* end of lemma zenon_L2_ *) % 10.95/11.18 assert (zenon_L3_ : (((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\(((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))/\(((~((op (e0) (e1)) = (e0)))\/((op (e0) (e0)) = (e1)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e1)) = (e2)))\/((op (e2) (e2)) = (e1)))/\((~((op (e3) (e1)) = (e3)))\/((op (e3) (e3)) = (e1)))))))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e0)) = (e1)) -> False). % 10.95/11.18 do 0 intro. intros zenon_H27 zenon_H24 zenon_H22 zenon_H1e. % 10.95/11.18 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28. % 10.95/11.18 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2a | zenon_intro zenon_H23 ]. % 10.95/11.18 exact (zenon_H2a zenon_H1e). % 10.95/11.18 apply (zenon_L2_); trivial. % 10.95/11.18 (* end of lemma zenon_L3_ *) % 10.95/11.18 assert (zenon_L4_ : (~((e0) = (e0))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H2b. % 10.95/11.18 apply zenon_H2b. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L4_ *) % 10.95/11.18 assert (zenon_L5_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e1))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H2c zenon_H1e zenon_H2d. % 10.95/11.18 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ]. % 10.95/11.18 cut (((e1) = (e1)) = ((e0) = (e1))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H2d. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H2e. % 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 10.95/11.18 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e0) (e0)) = (e0)) = ((e1) = (e0))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H30. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H2c. % 10.95/11.18 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 10.95/11.18 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 10.95/11.18 congruence. % 10.95/11.18 exact (zenon_H2a zenon_H1e). % 10.95/11.18 apply zenon_H2b. apply refl_equal. % 10.95/11.18 apply zenon_H2f. apply refl_equal. % 10.95/11.18 apply zenon_H2f. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L5_ *) % 10.95/11.18 assert (zenon_L6_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H31 zenon_H2c zenon_H32. % 10.95/11.18 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H33 | zenon_intro zenon_H34 ]. % 10.95/11.18 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e0)) = (op (e0) (e3)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H32. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H33. % 10.95/11.18 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34]. % 10.95/11.18 cut (((op (e0) (e3)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H35]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e0) (e0)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H35. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H31. % 10.95/11.18 cut (((e0) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 10.95/11.18 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34]. % 10.95/11.18 congruence. % 10.95/11.18 apply zenon_H34. apply refl_equal. % 10.95/11.18 apply zenon_H36. apply sym_equal. exact zenon_H2c. % 10.95/11.18 apply zenon_H34. apply refl_equal. % 10.95/11.18 apply zenon_H34. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L6_ *) % 10.95/11.18 assert (zenon_L7_ : (~((e1) = (e1))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H2f. % 10.95/11.18 apply zenon_H2f. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L7_ *) % 10.95/11.18 assert (zenon_L8_ : ((op (e0) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (e3))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H1e zenon_H37 zenon_H38. % 10.95/11.18 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 10.95/11.18 cut (((e3) = (e3)) = ((e1) = (e3))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H38. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H39. % 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.18 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e0) (e0)) = (e1)) = ((e3) = (e1))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H3b. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H1e. % 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 10.95/11.18 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 10.95/11.18 congruence. % 10.95/11.18 exact (zenon_H3c zenon_H37). % 10.95/11.18 apply zenon_H2f. apply refl_equal. % 10.95/11.18 apply zenon_H3a. apply refl_equal. % 10.95/11.18 apply zenon_H3a. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L8_ *) % 10.95/11.18 assert (zenon_L9_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((e1) = (e3))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H1f zenon_H3d zenon_H38. % 10.95/11.18 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 10.95/11.18 cut (((e3) = (e3)) = ((e1) = (e3))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H38. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H39. % 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.18 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e1) (e0)) = (e1)) = ((e3) = (e1))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H3b. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H1f. % 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 10.95/11.18 cut (((op (e1) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 10.95/11.18 congruence. % 10.95/11.18 exact (zenon_H3e zenon_H3d). % 10.95/11.18 apply zenon_H2f. apply refl_equal. % 10.95/11.18 apply zenon_H3a. apply refl_equal. % 10.95/11.18 apply zenon_H3a. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L9_ *) % 10.95/11.18 assert (zenon_L10_ : ((op (e1) (e1)) = (e0)) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H24 zenon_H3f zenon_H2d. % 10.95/11.18 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ]. % 10.95/11.18 cut (((e1) = (e1)) = ((e0) = (e1))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H2d. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H2e. % 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 10.95/11.18 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e1) (e1)) = (e0)) = ((e1) = (e0))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H30. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H24. % 10.95/11.18 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 10.95/11.18 cut (((op (e1) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 10.95/11.18 congruence. % 10.95/11.18 exact (zenon_H40 zenon_H3f). % 10.95/11.18 apply zenon_H2b. apply refl_equal. % 10.95/11.18 apply zenon_H2f. apply refl_equal. % 10.95/11.18 apply zenon_H2f. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L10_ *) % 10.95/11.18 assert (zenon_L11_ : (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> False). % 10.95/11.18 do 0 intro. intros zenon_H41 zenon_H1e zenon_H42. % 10.95/11.18 cut (((op (e0) (e0)) = (e1)) = ((op (e0) (e0)) = (op (e0) (e2)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H41. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H1e. % 10.95/11.18 cut (((e1) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 10.95/11.18 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 10.95/11.18 congruence. % 10.95/11.18 apply zenon_H21. apply refl_equal. % 10.95/11.18 apply zenon_H43. apply sym_equal. exact zenon_H42. % 10.95/11.18 (* end of lemma zenon_L11_ *) % 10.95/11.18 assert (zenon_L12_ : (~((op (e0) (op (e0) (e0))) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e1)) -> False). % 10.95/11.18 do 0 intro. intros zenon_H44 zenon_H1e. % 10.95/11.18 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 10.95/11.18 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 10.95/11.18 congruence. % 10.95/11.18 apply zenon_H2b. apply refl_equal. % 10.95/11.18 exact (zenon_H2a zenon_H1e). % 10.95/11.18 (* end of lemma zenon_L12_ *) % 10.95/11.18 assert (zenon_L13_ : (~((e2) = (e2))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H45. % 10.95/11.18 apply zenon_H45. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L13_ *) % 10.95/11.18 assert (zenon_L14_ : (~((e3) = (e3))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H3a. % 10.95/11.18 apply zenon_H3a. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L14_ *) % 10.95/11.18 assert (zenon_L15_ : ((op (e0) (e1)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> (~((e2) = (op (e0) (op (e0) (e0))))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H46 zenon_H1e zenon_H47. % 10.95/11.18 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e2) = (op (e0) (op (e0) (e0))))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H47. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H48. % 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (op (e0) (e0))) = (e2))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H4a. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H46. % 10.95/11.18 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.18 cut (((op (e0) (e1)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H4b]. % 10.95/11.18 congruence. % 10.95/11.18 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e1)) = (op (e0) (op (e0) (e0))))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H4b. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H48. % 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 10.95/11.18 congruence. % 10.95/11.18 apply (zenon_L12_); trivial. % 10.95/11.18 apply zenon_H49. apply refl_equal. % 10.95/11.18 apply zenon_H49. apply refl_equal. % 10.95/11.18 apply zenon_H45. apply refl_equal. % 10.95/11.18 apply zenon_H49. apply refl_equal. % 10.95/11.18 apply zenon_H49. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L15_ *) % 10.95/11.18 assert (zenon_L16_ : ((op (e2) (e0)) = (e3)) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> False). % 10.95/11.18 do 0 intro. intros zenon_H4c zenon_H46 zenon_H1e. % 10.95/11.18 apply (zenon_notand_s _ _ ax7); [ zenon_intro zenon_H4e | zenon_intro zenon_H4d ]. % 10.95/11.18 apply zenon_H4e. apply sym_equal. exact zenon_H1e. % 10.95/11.18 apply (zenon_notand_s _ _ zenon_H4d); [ zenon_intro zenon_H4f | zenon_intro zenon_H47 ]. % 10.95/11.18 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H4f. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H50. % 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e2) (e0)) = (e3)) = ((op (op (e0) (op (e0) (e0))) (e0)) = (e3))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H52. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H4c. % 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.18 cut (((op (e2) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H53]. % 10.95/11.18 congruence. % 10.95/11.18 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((op (e2) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H53. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H50. % 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (op (e0) (e0))) = (e2))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H4a. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H46. % 10.95/11.18 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.18 cut (((op (e0) (e1)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H4b]. % 10.95/11.18 congruence. % 10.95/11.18 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e1)) = (op (e0) (op (e0) (e0))))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H4b. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H48. % 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 10.95/11.18 congruence. % 10.95/11.18 apply (zenon_L12_); trivial. % 10.95/11.18 apply zenon_H49. apply refl_equal. % 10.95/11.18 apply zenon_H49. apply refl_equal. % 10.95/11.18 apply zenon_H45. apply refl_equal. % 10.95/11.18 apply zenon_H2b. apply refl_equal. % 10.95/11.18 apply zenon_H51. apply refl_equal. % 10.95/11.18 apply zenon_H51. apply refl_equal. % 10.95/11.18 apply zenon_H3a. apply refl_equal. % 10.95/11.18 apply zenon_H51. apply refl_equal. % 10.95/11.18 apply zenon_H51. apply refl_equal. % 10.95/11.18 apply (zenon_L15_); trivial. % 10.95/11.18 (* end of lemma zenon_L16_ *) % 10.95/11.18 assert (zenon_L17_ : (~((op (e1) (op (e1) (e1))) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e0)) -> False). % 10.95/11.18 do 0 intro. intros zenon_H55 zenon_H24. % 10.95/11.18 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H56]. % 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 10.95/11.18 congruence. % 10.95/11.18 apply zenon_H2f. apply refl_equal. % 10.95/11.18 exact (zenon_H56 zenon_H24). % 10.95/11.18 (* end of lemma zenon_L17_ *) % 10.95/11.18 assert (zenon_L18_ : ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (~((e2) = (op (e1) (op (e1) (e1))))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H57 zenon_H24 zenon_H58. % 10.95/11.18 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ]. % 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e2) = (op (e1) (op (e1) (e1))))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H58. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H59. % 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e1) (e0)) = (e2)) = ((op (e1) (op (e1) (e1))) = (e2))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H5b. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H57. % 10.95/11.18 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.18 cut (((op (e1) (e0)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 10.95/11.18 congruence. % 10.95/11.18 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ]. % 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e0)) = (op (e1) (op (e1) (e1))))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H5c. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H59. % 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 10.95/11.18 congruence. % 10.95/11.18 apply (zenon_L17_); trivial. % 10.95/11.18 apply zenon_H5a. apply refl_equal. % 10.95/11.18 apply zenon_H5a. apply refl_equal. % 10.95/11.18 apply zenon_H45. apply refl_equal. % 10.95/11.18 apply zenon_H5a. apply refl_equal. % 10.95/11.18 apply zenon_H5a. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L18_ *) % 10.95/11.18 assert (zenon_L19_ : ((op (e2) (e1)) = (e3)) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> False). % 10.95/11.18 do 0 intro. intros zenon_H5d zenon_H57 zenon_H24. % 10.95/11.18 apply (zenon_notand_s _ _ ax13); [ zenon_intro zenon_H25 | zenon_intro zenon_H5e ]. % 10.95/11.18 apply zenon_H25. apply sym_equal. exact zenon_H24. % 10.95/11.18 apply (zenon_notand_s _ _ zenon_H5e); [ zenon_intro zenon_H5f | zenon_intro zenon_H58 ]. % 10.95/11.18 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H5f. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H60. % 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e2) (e1)) = (e3)) = ((op (op (e1) (op (e1) (e1))) (e1)) = (e3))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H62. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H5d. % 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.18 cut (((op (e2) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 10.95/11.18 congruence. % 10.95/11.18 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((op (e2) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H63. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H60. % 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e1) (e0)) = (e2)) = ((op (e1) (op (e1) (e1))) = (e2))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H5b. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H57. % 10.95/11.18 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.18 cut (((op (e1) (e0)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 10.95/11.18 congruence. % 10.95/11.18 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ]. % 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e0)) = (op (e1) (op (e1) (e1))))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H5c. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H59. % 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 10.95/11.18 congruence. % 10.95/11.18 apply (zenon_L17_); trivial. % 10.95/11.18 apply zenon_H5a. apply refl_equal. % 10.95/11.18 apply zenon_H5a. apply refl_equal. % 10.95/11.18 apply zenon_H45. apply refl_equal. % 10.95/11.18 apply zenon_H2f. apply refl_equal. % 10.95/11.18 apply zenon_H61. apply refl_equal. % 10.95/11.18 apply zenon_H61. apply refl_equal. % 10.95/11.18 apply zenon_H3a. apply refl_equal. % 10.95/11.18 apply zenon_H61. apply refl_equal. % 10.95/11.18 apply zenon_H61. apply refl_equal. % 10.95/11.18 apply (zenon_L18_); trivial. % 10.95/11.18 (* end of lemma zenon_L19_ *) % 10.95/11.18 assert (zenon_L20_ : (~((e1) = (e3))) -> ((op (e2) (e2)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> False). % 10.95/11.18 do 0 intro. intros zenon_H38 zenon_H65 zenon_H66. % 10.95/11.18 cut (((op (e2) (e2)) = (e3)) = ((e1) = (e3))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H38. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H65. % 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.18 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H67]. % 10.95/11.18 congruence. % 10.95/11.18 exact (zenon_H67 zenon_H66). % 10.95/11.18 apply zenon_H3a. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L20_ *) % 10.95/11.18 assert (zenon_L21_ : ((op (e3) (e3)) = (e0)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H68 zenon_H31 zenon_H69. % 10.95/11.18 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ]. % 10.95/11.18 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e0) (e3)) = (op (e3) (e3)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H69. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H6a. % 10.95/11.18 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 10.95/11.18 cut (((op (e3) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6c]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e3) (e3)) = (e0)) = ((op (e3) (e3)) = (op (e0) (e3)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H6c. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H68. % 10.95/11.18 cut (((e0) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6d]. % 10.95/11.18 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 10.95/11.18 congruence. % 10.95/11.18 apply zenon_H6b. apply refl_equal. % 10.95/11.18 apply zenon_H6d. apply sym_equal. exact zenon_H31. % 10.95/11.18 apply zenon_H6b. apply refl_equal. % 10.95/11.18 apply zenon_H6b. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L21_ *) % 10.95/11.18 assert (zenon_L22_ : ((op (e3) (e3)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H6e zenon_H6f zenon_H70. % 10.95/11.18 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ]. % 10.95/11.18 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e1) (e3)) = (op (e3) (e3)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H70. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H6a. % 10.95/11.18 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 10.95/11.18 cut (((op (e3) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H71]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e3) (e3)) = (e1)) = ((op (e3) (e3)) = (op (e1) (e3)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H71. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H6e. % 10.95/11.18 cut (((e1) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 10.95/11.18 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 10.95/11.18 congruence. % 10.95/11.18 apply zenon_H6b. apply refl_equal. % 10.95/11.18 apply zenon_H72. apply sym_equal. exact zenon_H6f. % 10.95/11.18 apply zenon_H6b. apply refl_equal. % 10.95/11.18 apply zenon_H6b. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L22_ *) % 10.95/11.18 assert (zenon_L23_ : ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H73 zenon_H74 zenon_H75. % 10.95/11.18 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ]. % 10.95/11.18 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e2) (e3)) = (op (e3) (e3)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H75. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H6a. % 10.95/11.18 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 10.95/11.18 cut (((op (e3) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e2) (e3)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H76. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H73. % 10.95/11.18 cut (((e3) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 10.95/11.18 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 10.95/11.18 congruence. % 10.95/11.18 apply zenon_H6b. apply refl_equal. % 10.95/11.18 apply zenon_H77. apply sym_equal. exact zenon_H74. % 10.95/11.18 apply zenon_H6b. apply refl_equal. % 10.95/11.18 apply zenon_H6b. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L23_ *) % 10.95/11.18 assert (zenon_L24_ : (((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)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H74 zenon_H75. % 10.95/11.18 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H68 | zenon_intro zenon_H7a ]. % 10.95/11.18 apply (zenon_L21_); trivial. % 10.95/11.18 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H6e | zenon_intro zenon_H7b ]. % 10.95/11.18 apply (zenon_L22_); trivial. % 10.95/11.18 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7c | zenon_intro zenon_H73 ]. % 10.95/11.18 exact (zenon_H79 zenon_H7c). % 10.95/11.18 apply (zenon_L23_); trivial. % 10.95/11.18 (* end of lemma zenon_L24_ *) % 10.95/11.18 assert (zenon_L25_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((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)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H7d zenon_H1e zenon_H46 zenon_H24 zenon_H57 zenon_H66 zenon_H38 zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H75. % 10.95/11.18 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 10.95/11.18 apply (zenon_L16_); trivial. % 10.95/11.18 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 10.95/11.18 apply (zenon_L19_); trivial. % 10.95/11.18 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 10.95/11.18 apply (zenon_L20_); trivial. % 10.95/11.18 apply (zenon_L24_); trivial. % 10.95/11.18 (* end of lemma zenon_L25_ *) % 10.95/11.18 assert (zenon_L26_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (~((e0) = (e3))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H80 zenon_H4c zenon_H81. % 10.95/11.18 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 10.95/11.18 cut (((e3) = (e3)) = ((e0) = (e3))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H81. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H39. % 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.18 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e2) (e0)) = (e0)) = ((e3) = (e0))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H82. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H80. % 10.95/11.18 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 10.95/11.18 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H83]. % 10.95/11.18 congruence. % 10.95/11.18 exact (zenon_H83 zenon_H4c). % 10.95/11.18 apply zenon_H2b. apply refl_equal. % 10.95/11.18 apply zenon_H3a. apply refl_equal. % 10.95/11.18 apply zenon_H3a. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L26_ *) % 10.95/11.18 assert (zenon_L27_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False). % 10.95/11.18 do 0 intro. intros zenon_H84 zenon_H42 zenon_H85. % 10.95/11.18 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e3) (e2)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H84. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H42. % 10.95/11.18 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 10.95/11.18 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 10.95/11.18 congruence. % 10.95/11.18 apply zenon_H87. apply refl_equal. % 10.95/11.18 apply zenon_H86. apply sym_equal. exact zenon_H85. % 10.95/11.18 (* end of lemma zenon_L27_ *) % 10.95/11.18 assert (zenon_L28_ : (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> False). % 10.95/11.18 do 0 intro. intros zenon_H88 zenon_H37 zenon_H89. % 10.95/11.18 cut (((op (e0) (e0)) = (e3)) = ((op (e0) (e0)) = (op (e0) (e1)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H88. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H37. % 10.95/11.18 cut (((e3) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8a]. % 10.95/11.18 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 10.95/11.18 congruence. % 10.95/11.18 apply zenon_H21. apply refl_equal. % 10.95/11.18 apply zenon_H8a. apply sym_equal. exact zenon_H89. % 10.95/11.18 (* end of lemma zenon_L28_ *) % 10.95/11.18 assert (zenon_L29_ : ((op (e0) (e1)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> (~((e3) = (op (e0) (op (e0) (e0))))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H89 zenon_H1e zenon_H8b. % 10.95/11.18 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e3) = (op (e0) (op (e0) (e0))))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H8b. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H48. % 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (op (e0) (e0))) = (e3))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H8c. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H89. % 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.18 cut (((op (e0) (e1)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H4b]. % 10.95/11.18 congruence. % 10.95/11.18 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e1)) = (op (e0) (op (e0) (e0))))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H4b. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H48. % 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 10.95/11.18 congruence. % 10.95/11.18 apply (zenon_L12_); trivial. % 10.95/11.18 apply zenon_H49. apply refl_equal. % 10.95/11.18 apply zenon_H49. apply refl_equal. % 10.95/11.18 apply zenon_H3a. apply refl_equal. % 10.95/11.18 apply zenon_H49. apply refl_equal. % 10.95/11.18 apply zenon_H49. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L29_ *) % 10.95/11.18 assert (zenon_L30_ : ((op (e3) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> False). % 10.95/11.18 do 0 intro. intros zenon_H8d zenon_H89 zenon_H1e. % 10.95/11.18 apply (zenon_notand_s _ _ ax6); [ zenon_intro zenon_H4e | zenon_intro zenon_H8e ]. % 10.95/11.18 apply zenon_H4e. apply sym_equal. exact zenon_H1e. % 10.95/11.18 apply (zenon_notand_s _ _ zenon_H8e); [ zenon_intro zenon_H8f | zenon_intro zenon_H8b ]. % 10.95/11.18 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H8f. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H50. % 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e3) (e0)) = (e2)) = ((op (op (e0) (op (e0) (e0))) (e0)) = (e2))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H90. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H8d. % 10.95/11.18 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.18 cut (((op (e3) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H91]. % 10.95/11.18 congruence. % 10.95/11.18 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((op (e3) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H91. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H50. % 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 10.95/11.18 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H92]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (op (e0) (e0))) = (e3))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H8c. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H89. % 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.18 cut (((op (e0) (e1)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H4b]. % 10.95/11.18 congruence. % 10.95/11.18 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e1)) = (op (e0) (op (e0) (e0))))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H4b. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H48. % 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 10.95/11.18 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 10.95/11.18 congruence. % 10.95/11.18 apply (zenon_L12_); trivial. % 10.95/11.18 apply zenon_H49. apply refl_equal. % 10.95/11.18 apply zenon_H49. apply refl_equal. % 10.95/11.18 apply zenon_H3a. apply refl_equal. % 10.95/11.18 apply zenon_H2b. apply refl_equal. % 10.95/11.18 apply zenon_H51. apply refl_equal. % 10.95/11.18 apply zenon_H51. apply refl_equal. % 10.95/11.18 apply zenon_H45. apply refl_equal. % 10.95/11.18 apply zenon_H51. apply refl_equal. % 10.95/11.18 apply zenon_H51. apply refl_equal. % 10.95/11.18 apply (zenon_L29_); trivial. % 10.95/11.18 (* end of lemma zenon_L30_ *) % 10.95/11.18 assert (zenon_L31_ : ((op (e1) (e0)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> (~((e3) = (op (e1) (op (e1) (e1))))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H3d zenon_H24 zenon_H93. % 10.95/11.18 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ]. % 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e3) = (op (e1) (op (e1) (e1))))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H93. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H59. % 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H94]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e1) (e0)) = (e3)) = ((op (e1) (op (e1) (e1))) = (e3))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H94. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H3d. % 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.18 cut (((op (e1) (e0)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 10.95/11.18 congruence. % 10.95/11.18 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ]. % 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e0)) = (op (e1) (op (e1) (e1))))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H5c. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H59. % 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 10.95/11.18 congruence. % 10.95/11.18 apply (zenon_L17_); trivial. % 10.95/11.18 apply zenon_H5a. apply refl_equal. % 10.95/11.18 apply zenon_H5a. apply refl_equal. % 10.95/11.18 apply zenon_H3a. apply refl_equal. % 10.95/11.18 apply zenon_H5a. apply refl_equal. % 10.95/11.18 apply zenon_H5a. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L31_ *) % 10.95/11.18 assert (zenon_L32_ : ((op (e3) (e1)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> False). % 10.95/11.18 do 0 intro. intros zenon_H95 zenon_H3d zenon_H24. % 10.95/11.18 apply (zenon_notand_s _ _ ax12); [ zenon_intro zenon_H25 | zenon_intro zenon_H96 ]. % 10.95/11.18 apply zenon_H25. apply sym_equal. exact zenon_H24. % 10.95/11.18 apply (zenon_notand_s _ _ zenon_H96); [ zenon_intro zenon_H97 | zenon_intro zenon_H93 ]. % 10.95/11.18 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H97. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H60. % 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e3) (e1)) = (e2)) = ((op (op (e1) (op (e1) (e1))) (e1)) = (e2))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H98. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H95. % 10.95/11.18 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.18 cut (((op (e3) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 10.95/11.18 congruence. % 10.95/11.18 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((op (e3) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H99. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H60. % 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 10.95/11.18 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H94]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e1) (e0)) = (e3)) = ((op (e1) (op (e1) (e1))) = (e3))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H94. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H3d. % 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.18 cut (((op (e1) (e0)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 10.95/11.18 congruence. % 10.95/11.18 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ]. % 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e0)) = (op (e1) (op (e1) (e1))))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H5c. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H59. % 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 10.95/11.18 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 10.95/11.18 congruence. % 10.95/11.18 apply (zenon_L17_); trivial. % 10.95/11.18 apply zenon_H5a. apply refl_equal. % 10.95/11.18 apply zenon_H5a. apply refl_equal. % 10.95/11.18 apply zenon_H3a. apply refl_equal. % 10.95/11.18 apply zenon_H2f. apply refl_equal. % 10.95/11.18 apply zenon_H61. apply refl_equal. % 10.95/11.18 apply zenon_H61. apply refl_equal. % 10.95/11.18 apply zenon_H45. apply refl_equal. % 10.95/11.18 apply zenon_H61. apply refl_equal. % 10.95/11.18 apply zenon_H61. apply refl_equal. % 10.95/11.18 apply (zenon_L31_); trivial. % 10.95/11.18 (* end of lemma zenon_L32_ *) % 10.95/11.18 assert (zenon_L33_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> False). % 10.95/11.18 do 0 intro. intros zenon_H84 zenon_H9b zenon_H9c. % 10.95/11.18 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e3) (e2)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H84. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H9b. % 10.95/11.18 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 10.95/11.18 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 10.95/11.18 congruence. % 10.95/11.18 apply zenon_H87. apply refl_equal. % 10.95/11.18 apply zenon_H9d. apply sym_equal. exact zenon_H9c. % 10.95/11.18 (* end of lemma zenon_L33_ *) % 10.95/11.18 assert (zenon_L34_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H9e zenon_H1e zenon_H89 zenon_H24 zenon_H3d zenon_H9b zenon_H84 zenon_H79. % 10.95/11.18 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 10.95/11.18 apply (zenon_L30_); trivial. % 10.95/11.18 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 10.95/11.18 apply (zenon_L32_); trivial. % 10.95/11.18 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 10.95/11.18 apply (zenon_L33_); trivial. % 10.95/11.18 exact (zenon_H79 zenon_H7c). % 10.95/11.18 (* end of lemma zenon_L34_ *) % 10.95/11.18 assert (zenon_L35_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False). % 10.95/11.18 do 0 intro. intros zenon_Ha1 zenon_H24 zenon_Ha2. % 10.95/11.18 cut (((op (e1) (e1)) = (e0)) = ((op (e1) (e1)) = (op (e2) (e1)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_Ha1. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H24. % 10.95/11.18 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 10.95/11.18 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 10.95/11.18 congruence. % 10.95/11.18 apply zenon_Ha4. apply refl_equal. % 10.95/11.18 apply zenon_Ha3. apply sym_equal. exact zenon_Ha2. % 10.95/11.18 (* end of lemma zenon_L35_ *) % 10.95/11.18 assert (zenon_L36_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H42 zenon_H9b zenon_Ha5. % 10.95/11.18 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ]. % 10.95/11.18 cut (((e2) = (e2)) = ((e1) = (e2))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_Ha5. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_Ha6. % 10.95/11.18 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.18 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e0) (e2)) = (e1)) = ((e2) = (e1))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_Ha7. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H42. % 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 10.95/11.18 cut (((op (e0) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 10.95/11.18 congruence. % 10.95/11.18 exact (zenon_Ha8 zenon_H9b). % 10.95/11.18 apply zenon_H2f. apply refl_equal. % 10.95/11.18 apply zenon_H45. apply refl_equal. % 10.95/11.18 apply zenon_H45. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L36_ *) % 10.95/11.18 assert (zenon_L37_ : (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> False). % 10.95/11.18 do 0 intro. intros zenon_H2d zenon_H66 zenon_Ha9. % 10.95/11.18 cut (((op (e2) (e2)) = (e1)) = ((e0) = (e1))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H2d. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H66. % 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 10.95/11.18 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Haa]. % 10.95/11.18 congruence. % 10.95/11.18 exact (zenon_Haa zenon_Ha9). % 10.95/11.18 apply zenon_H2f. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L37_ *) % 10.95/11.18 assert (zenon_L38_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e0)))) -> ((op (e2) (e2)) = (e0)) -> False). % 10.95/11.18 do 0 intro. intros zenon_Hab zenon_Ha9. % 10.95/11.18 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Haa]. % 10.95/11.18 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.18 congruence. % 10.95/11.18 apply zenon_H45. apply refl_equal. % 10.95/11.18 exact (zenon_Haa zenon_Ha9). % 10.95/11.18 (* end of lemma zenon_L38_ *) % 10.95/11.18 assert (zenon_L39_ : ((op (e2) (e0)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> (~((e3) = (op (e2) (op (e2) (e2))))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H4c zenon_Ha9 zenon_Hac. % 10.95/11.18 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 10.95/11.18 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e3) = (op (e2) (op (e2) (e2))))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_Hac. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_Had. % 10.95/11.18 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 10.95/11.18 cut (((op (e2) (op (e2) (e2))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e2) (e0)) = (e3)) = ((op (e2) (op (e2) (e2))) = (e3))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_Haf. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H4c. % 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.18 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hb0]. % 10.95/11.18 congruence. % 10.95/11.18 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 10.95/11.18 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e2))))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_Hb0. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_Had. % 10.95/11.18 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 10.95/11.18 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hab]. % 10.95/11.18 congruence. % 10.95/11.18 apply (zenon_L38_); trivial. % 10.95/11.18 apply zenon_Hae. apply refl_equal. % 10.95/11.18 apply zenon_Hae. apply refl_equal. % 10.95/11.18 apply zenon_H3a. apply refl_equal. % 10.95/11.18 apply zenon_Hae. apply refl_equal. % 10.95/11.18 apply zenon_Hae. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L39_ *) % 10.95/11.18 assert (zenon_L40_ : ((op (e3) (e2)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> False). % 10.95/11.18 do 0 intro. intros zenon_H85 zenon_H4c zenon_Ha9. % 10.95/11.18 apply (zenon_notand_s _ _ ax18); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb1 ]. % 10.95/11.18 apply zenon_Hb2. apply sym_equal. exact zenon_Ha9. % 10.95/11.18 apply (zenon_notand_s _ _ zenon_Hb1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hac ]. % 10.95/11.18 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ]. % 10.95/11.18 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_Hb3. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_Hb4. % 10.95/11.18 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5]. % 10.95/11.18 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e3) (e2)) = (e1)) = ((op (op (e2) (op (e2) (e2))) (e2)) = (e1))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_Hb6. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H85. % 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 10.95/11.18 cut (((op (e3) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb7]. % 10.95/11.18 congruence. % 10.95/11.18 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ]. % 10.95/11.18 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((op (e3) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_Hb7. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_Hb4. % 10.95/11.18 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5]. % 10.95/11.18 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb8]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.18 cut (((op (e2) (op (e2) (e2))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e2) (e0)) = (e3)) = ((op (e2) (op (e2) (e2))) = (e3))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_Haf. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H4c. % 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.18 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hb0]. % 10.95/11.18 congruence. % 10.95/11.18 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 10.95/11.18 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e2))))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_Hb0. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_Had. % 10.95/11.18 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 10.95/11.18 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hab]. % 10.95/11.18 congruence. % 10.95/11.18 apply (zenon_L38_); trivial. % 10.95/11.18 apply zenon_Hae. apply refl_equal. % 10.95/11.18 apply zenon_Hae. apply refl_equal. % 10.95/11.18 apply zenon_H3a. apply refl_equal. % 10.95/11.18 apply zenon_H45. apply refl_equal. % 10.95/11.18 apply zenon_Hb5. apply refl_equal. % 10.95/11.18 apply zenon_Hb5. apply refl_equal. % 10.95/11.18 apply zenon_H2f. apply refl_equal. % 10.95/11.18 apply zenon_Hb5. apply refl_equal. % 10.95/11.18 apply zenon_Hb5. apply refl_equal. % 10.95/11.18 apply (zenon_L39_); trivial. % 10.95/11.18 (* end of lemma zenon_L40_ *) % 10.95/11.18 assert (zenon_L41_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False). % 10.95/11.18 do 0 intro. intros zenon_Hb9 zenon_H31 zenon_Hba. % 10.95/11.18 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e2) (e3)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_Hb9. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H31. % 10.95/11.18 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hbb]. % 10.95/11.18 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34]. % 10.95/11.18 congruence. % 10.95/11.18 apply zenon_H34. apply refl_equal. % 10.95/11.18 apply zenon_Hbb. apply sym_equal. exact zenon_Hba. % 10.95/11.18 (* end of lemma zenon_L41_ *) % 10.95/11.18 assert (zenon_L42_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 10.95/11.18 do 0 intro. intros zenon_Hbc zenon_H81 zenon_H24 zenon_Ha1 zenon_H4c zenon_H2d zenon_Hbd zenon_H9b zenon_Ha5 zenon_Hbe zenon_Hb9 zenon_H31. % 10.95/11.18 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 10.95/11.18 apply (zenon_L26_); trivial. % 10.95/11.18 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 10.95/11.18 apply (zenon_L35_); trivial. % 10.95/11.18 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 10.95/11.18 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 10.95/11.18 apply (zenon_L36_); trivial. % 10.95/11.18 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 10.95/11.18 exact (zenon_Hbd zenon_Hc3). % 10.95/11.18 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 10.95/11.18 apply (zenon_L37_); trivial. % 10.95/11.18 apply (zenon_L40_); trivial. % 10.95/11.18 apply (zenon_L41_); trivial. % 10.95/11.18 (* end of lemma zenon_L42_ *) % 10.95/11.18 assert (zenon_L43_ : ((op (e3) (e0)) = (e3)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False). % 10.95/11.18 do 0 intro. intros zenon_Hc4 zenon_H3d zenon_Hc5. % 10.95/11.18 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 10.95/11.18 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e1) (e0)) = (op (e3) (e0)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_Hc5. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_Hc6. % 10.95/11.18 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7]. % 10.95/11.18 cut (((op (e3) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc8]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e1) (e0)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_Hc8. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_Hc4. % 10.95/11.18 cut (((e3) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc9]. % 10.95/11.18 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7]. % 10.95/11.18 congruence. % 10.95/11.18 apply zenon_Hc7. apply refl_equal. % 10.95/11.18 apply zenon_Hc9. apply sym_equal. exact zenon_H3d. % 10.95/11.18 apply zenon_Hc7. apply refl_equal. % 10.95/11.18 apply zenon_Hc7. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L43_ *) % 10.95/11.18 assert (zenon_L44_ : (~((e0) = (e3))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> False). % 10.95/11.18 do 0 intro. intros zenon_H81 zenon_Hca zenon_H24. % 10.95/11.18 cut (((op (e1) (e1)) = (e3)) = ((e0) = (e3))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H81. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_Hca. % 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.18 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H56]. % 10.95/11.18 congruence. % 10.95/11.18 exact (zenon_H56 zenon_H24). % 10.95/11.18 apply zenon_H3a. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L44_ *) % 10.95/11.18 assert (zenon_L45_ : ((op (e2) (e2)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H65 zenon_Hcb zenon_Hcc. % 10.95/11.18 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hce ]. % 10.95/11.18 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e1) (e2)) = (op (e2) (e2)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_Hcc. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_Hcd. % 10.95/11.18 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce]. % 10.95/11.18 cut (((op (e2) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e2) (e2)) = (e3)) = ((op (e2) (e2)) = (op (e1) (e2)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_Hcf. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H65. % 10.95/11.18 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hd0]. % 10.95/11.18 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce]. % 10.95/11.18 congruence. % 10.95/11.18 apply zenon_Hce. apply refl_equal. % 10.95/11.18 apply zenon_Hd0. apply sym_equal. exact zenon_Hcb. % 10.95/11.18 apply zenon_Hce. apply refl_equal. % 10.95/11.18 apply zenon_Hce. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L45_ *) % 10.95/11.18 assert (zenon_L46_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (((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)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H7d zenon_H81 zenon_H80 zenon_H24 zenon_H57 zenon_Hcc zenon_Hcb zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H75. % 10.95/11.18 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 10.95/11.18 apply (zenon_L26_); trivial. % 10.95/11.18 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 10.95/11.18 apply (zenon_L19_); trivial. % 10.95/11.18 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 10.95/11.18 apply (zenon_L45_); trivial. % 10.95/11.18 apply (zenon_L24_); trivial. % 10.95/11.18 (* end of lemma zenon_L46_ *) % 10.95/11.18 assert (zenon_L47_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e3))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H6f zenon_Hd1 zenon_H38. % 10.95/11.18 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 10.95/11.18 cut (((e3) = (e3)) = ((e1) = (e3))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H38. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H39. % 10.95/11.18 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.18 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e1) (e3)) = (e1)) = ((e3) = (e1))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_H3b. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H6f. % 10.95/11.18 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 10.95/11.18 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 10.95/11.18 congruence. % 10.95/11.18 exact (zenon_Hd2 zenon_Hd1). % 10.95/11.18 apply zenon_H2f. apply refl_equal. % 10.95/11.18 apply zenon_H3a. apply refl_equal. % 10.95/11.18 apply zenon_H3a. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L47_ *) % 10.95/11.18 assert (zenon_L48_ : (((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 (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 10.95/11.18 do 0 intro. intros zenon_Hd3 zenon_Hc5 zenon_Hc4 zenon_H75 zenon_H79 zenon_H70 zenon_H31 zenon_H69 zenon_H78 zenon_Hcc zenon_H57 zenon_H24 zenon_H80 zenon_H81 zenon_H7d zenon_H6f zenon_H38. % 10.95/11.18 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 10.95/11.18 apply (zenon_L43_); trivial. % 10.95/11.18 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 10.95/11.18 apply (zenon_L44_); trivial. % 10.95/11.18 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 10.95/11.18 apply (zenon_L46_); trivial. % 10.95/11.18 apply (zenon_L47_); trivial. % 10.95/11.18 (* end of lemma zenon_L48_ *) % 10.95/11.18 assert (zenon_L49_ : (((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)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> False). % 10.95/11.18 do 0 intro. intros zenon_Hd6 zenon_H1e zenon_H1d zenon_H2d zenon_Hbd zenon_Hd3 zenon_Hc5 zenon_Hc4 zenon_H75 zenon_H79 zenon_H70 zenon_H31 zenon_H69 zenon_H78 zenon_Hcc zenon_H57 zenon_H24 zenon_H80 zenon_H81 zenon_H7d zenon_H38. % 10.95/11.18 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 10.95/11.18 apply (zenon_L1_); trivial. % 10.95/11.18 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 10.95/11.18 apply (zenon_L10_); trivial. % 10.95/11.18 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 10.95/11.18 exact (zenon_Hbd zenon_Hc3). % 10.95/11.18 apply (zenon_L48_); trivial. % 10.95/11.18 (* end of lemma zenon_L49_ *) % 10.95/11.18 assert (zenon_L50_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> False). % 10.95/11.18 do 0 intro. intros zenon_Hd9 zenon_H88 zenon_H84 zenon_H89 zenon_H9e zenon_Hb9 zenon_Hbe zenon_Ha5 zenon_H9b zenon_Ha1 zenon_Hbc zenon_Hd6 zenon_H1e zenon_H1d zenon_H2d zenon_Hbd zenon_Hd3 zenon_Hc5 zenon_H75 zenon_H79 zenon_H70 zenon_H31 zenon_H69 zenon_H78 zenon_Hcc zenon_H57 zenon_H24 zenon_H80 zenon_H81 zenon_H7d zenon_H38. % 10.95/11.18 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 10.95/11.18 apply (zenon_L28_); trivial. % 10.95/11.18 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 10.95/11.18 apply (zenon_L34_); trivial. % 10.95/11.18 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 10.95/11.18 apply (zenon_L42_); trivial. % 10.95/11.18 apply (zenon_L49_); trivial. % 10.95/11.18 (* end of lemma zenon_L50_ *) % 10.95/11.18 assert (zenon_L51_ : ((op (e2) (e2)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False). % 10.95/11.18 do 0 intro. intros zenon_H65 zenon_Hdc zenon_Hdd. % 10.95/11.18 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hce ]. % 10.95/11.18 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e0) (e2)) = (op (e2) (e2)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_Hdd. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_Hcd. % 10.95/11.18 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce]. % 10.95/11.18 cut (((op (e2) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hde]. % 10.95/11.18 congruence. % 10.95/11.18 cut (((op (e2) (e2)) = (e3)) = ((op (e2) (e2)) = (op (e0) (e2)))). % 10.95/11.18 intro zenon_D_pnotp. % 10.95/11.18 apply zenon_Hde. % 10.95/11.18 rewrite <- zenon_D_pnotp. % 10.95/11.18 exact zenon_H65. % 10.95/11.18 cut (((e3) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hdf]. % 10.95/11.18 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce]. % 10.95/11.18 congruence. % 10.95/11.18 apply zenon_Hce. apply refl_equal. % 10.95/11.18 apply zenon_Hdf. apply sym_equal. exact zenon_Hdc. % 10.95/11.18 apply zenon_Hce. apply refl_equal. % 10.95/11.18 apply zenon_Hce. apply refl_equal. % 10.95/11.18 (* end of lemma zenon_L51_ *) % 10.95/11.18 assert (zenon_L52_ : (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((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)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H41 zenon_H46 zenon_Hdd zenon_Hd9 zenon_H88 zenon_H84 zenon_H89 zenon_H9e zenon_Hb9 zenon_Hbe zenon_Ha5 zenon_Ha1 zenon_Hbc zenon_Hd6 zenon_H1e zenon_H1d zenon_H2d zenon_Hbd zenon_Hd3 zenon_Hc5 zenon_Hcc zenon_H57 zenon_H24 zenon_H80 zenon_H81 zenon_H7d zenon_H38 zenon_He0 zenon_He1 zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H75. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 10.95/11.19 apply (zenon_L11_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 10.95/11.19 exact (zenon_Hbd zenon_Hc3). % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 10.95/11.19 apply (zenon_L25_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 10.95/11.19 apply (zenon_L26_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 10.95/11.19 apply (zenon_L19_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 10.95/11.19 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 10.95/11.19 exact (zenon_He0 zenon_He3). % 10.95/11.19 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ]. % 10.95/11.19 apply (zenon_L27_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ]. % 10.95/11.19 apply (zenon_L50_); trivial. % 10.95/11.19 apply (zenon_L51_); trivial. % 10.95/11.19 apply (zenon_L24_); trivial. % 10.95/11.19 (* end of lemma zenon_L52_ *) % 10.95/11.19 assert (zenon_L53_ : (~((e0) = (e3))) -> ((op (e2) (e2)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H81 zenon_H65 zenon_Ha9. % 10.95/11.19 cut (((op (e2) (e2)) = (e3)) = ((e0) = (e3))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H81. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H65. % 10.95/11.19 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.19 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Haa]. % 10.95/11.19 congruence. % 10.95/11.19 exact (zenon_Haa zenon_Ha9). % 10.95/11.19 apply zenon_H3a. apply refl_equal. % 10.95/11.19 (* end of lemma zenon_L53_ *) % 10.95/11.19 assert (zenon_L54_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((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)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H7d zenon_H85 zenon_H24 zenon_H57 zenon_Ha9 zenon_H81 zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H75. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 10.95/11.19 apply (zenon_L40_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 10.95/11.19 apply (zenon_L19_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 10.95/11.19 apply (zenon_L53_); trivial. % 10.95/11.19 apply (zenon_L24_); trivial. % 10.95/11.19 (* end of lemma zenon_L54_ *) % 10.95/11.19 assert (zenon_L55_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((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)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hbe zenon_H1e zenon_H41 zenon_Hbd zenon_H2d zenon_H7d zenon_H24 zenon_H57 zenon_Ha9 zenon_H81 zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H75. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 10.95/11.19 apply (zenon_L11_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 10.95/11.19 exact (zenon_Hbd zenon_Hc3). % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 10.95/11.19 apply (zenon_L37_); trivial. % 10.95/11.19 apply (zenon_L54_); trivial. % 10.95/11.19 (* end of lemma zenon_L55_ *) % 10.95/11.19 assert (zenon_L56_ : ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> False). % 10.95/11.19 do 0 intro. intros zenon_He5 zenon_H1f zenon_H2d. % 10.95/11.19 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ]. % 10.95/11.19 cut (((e1) = (e1)) = ((e0) = (e1))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H2d. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H2e. % 10.95/11.19 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 10.95/11.19 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 10.95/11.19 congruence. % 10.95/11.19 cut (((op (e1) (e0)) = (e0)) = ((e1) = (e0))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H30. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_He5. % 10.95/11.19 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 10.95/11.19 cut (((op (e1) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_He6]. % 10.95/11.19 congruence. % 10.95/11.19 exact (zenon_He6 zenon_H1f). % 10.95/11.19 apply zenon_H2b. apply refl_equal. % 10.95/11.19 apply zenon_H2f. apply refl_equal. % 10.95/11.19 apply zenon_H2f. apply refl_equal. % 10.95/11.19 (* end of lemma zenon_L56_ *) % 10.95/11.19 assert (zenon_L57_ : ((op (e1) (e1)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hca zenon_H89 zenon_H22. % 10.95/11.19 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_He7 | zenon_intro zenon_Ha4 ]. % 10.95/11.19 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e0) (e1)) = (op (e1) (e1)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H22. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_He7. % 10.95/11.19 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 10.95/11.19 cut (((op (e1) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He8]. % 10.95/11.19 congruence. % 10.95/11.19 cut (((op (e1) (e1)) = (e3)) = ((op (e1) (e1)) = (op (e0) (e1)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_He8. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_Hca. % 10.95/11.19 cut (((e3) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H8a]. % 10.95/11.19 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_Ha4. apply refl_equal. % 10.95/11.19 apply zenon_H8a. apply sym_equal. exact zenon_H89. % 10.95/11.19 apply zenon_Ha4. apply refl_equal. % 10.95/11.19 apply zenon_Ha4. apply refl_equal. % 10.95/11.19 (* end of lemma zenon_L57_ *) % 10.95/11.19 assert (zenon_L58_ : (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H41 zenon_H37 zenon_Hdc. % 10.95/11.19 cut (((op (e0) (e0)) = (e3)) = ((op (e0) (e0)) = (op (e0) (e2)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H41. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H37. % 10.95/11.19 cut (((e3) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hdf]. % 10.95/11.19 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_H21. apply refl_equal. % 10.95/11.19 apply zenon_Hdf. apply sym_equal. exact zenon_Hdc. % 10.95/11.19 (* end of lemma zenon_L58_ *) % 10.95/11.19 assert (zenon_L59_ : (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> False). % 10.95/11.19 do 0 intro. intros zenon_He9 zenon_H24 zenon_Hea. % 10.95/11.19 cut (((op (e1) (e1)) = (e0)) = ((op (e1) (e1)) = (op (e1) (e2)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_He9. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H24. % 10.95/11.19 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 10.95/11.19 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_Ha4. apply refl_equal. % 10.95/11.19 apply zenon_Heb. apply sym_equal. exact zenon_Hea. % 10.95/11.19 (* end of lemma zenon_L59_ *) % 10.95/11.19 assert (zenon_L60_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hec zenon_H80 zenon_Ha9. % 10.95/11.19 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e2)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_Hec. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H80. % 10.95/11.19 cut (((e0) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb2]. % 10.95/11.19 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_Hed. apply refl_equal. % 10.95/11.19 apply zenon_Hb2. apply sym_equal. exact zenon_Ha9. % 10.95/11.19 (* end of lemma zenon_L60_ *) % 10.95/11.19 assert (zenon_L61_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e1)) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hee zenon_H66. % 10.95/11.19 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H67]. % 10.95/11.19 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_H45. apply refl_equal. % 10.95/11.19 exact (zenon_H67 zenon_H66). % 10.95/11.19 (* end of lemma zenon_L61_ *) % 10.95/11.19 assert (zenon_L62_ : ((op (e2) (e1)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> (~((e3) = (op (e2) (op (e2) (e2))))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H5d zenon_H66 zenon_Hac. % 10.95/11.19 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 10.95/11.19 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e3) = (op (e2) (op (e2) (e2))))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_Hac. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_Had. % 10.95/11.19 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 10.95/11.19 cut (((op (e2) (op (e2) (e2))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 10.95/11.19 congruence. % 10.95/11.19 cut (((op (e2) (e1)) = (e3)) = ((op (e2) (op (e2) (e2))) = (e3))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_Haf. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H5d. % 10.95/11.19 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.19 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 10.95/11.19 congruence. % 10.95/11.19 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 10.95/11.19 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e2))))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_Hef. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_Had. % 10.95/11.19 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 10.95/11.19 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hee]. % 10.95/11.19 congruence. % 10.95/11.19 apply (zenon_L61_); trivial. % 10.95/11.19 apply zenon_Hae. apply refl_equal. % 10.95/11.19 apply zenon_Hae. apply refl_equal. % 10.95/11.19 apply zenon_H3a. apply refl_equal. % 10.95/11.19 apply zenon_Hae. apply refl_equal. % 10.95/11.19 apply zenon_Hae. apply refl_equal. % 10.95/11.19 (* end of lemma zenon_L62_ *) % 10.95/11.19 assert (zenon_L63_ : ((op (e3) (e2)) = (e0)) -> ((op (e2) (e1)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hf0 zenon_H5d zenon_H66. % 10.95/11.19 apply (zenon_notand_s _ _ ax20); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf1 ]. % 10.95/11.19 apply zenon_Hf2. apply sym_equal. exact zenon_H66. % 10.95/11.19 apply (zenon_notand_s _ _ zenon_Hf1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hac ]. % 10.95/11.19 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ]. % 10.95/11.19 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_Hf3. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_Hb4. % 10.95/11.19 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5]. % 10.95/11.19 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hf4]. % 10.95/11.19 congruence. % 10.95/11.19 cut (((op (e3) (e2)) = (e0)) = ((op (op (e2) (op (e2) (e2))) (e2)) = (e0))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_Hf4. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_Hf0. % 10.95/11.19 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 10.95/11.19 cut (((op (e3) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb7]. % 10.95/11.19 congruence. % 10.95/11.19 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ]. % 10.95/11.19 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((op (e3) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_Hb7. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_Hb4. % 10.95/11.19 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5]. % 10.95/11.19 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb8]. % 10.95/11.19 congruence. % 10.95/11.19 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.19 cut (((op (e2) (op (e2) (e2))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 10.95/11.19 congruence. % 10.95/11.19 cut (((op (e2) (e1)) = (e3)) = ((op (e2) (op (e2) (e2))) = (e3))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_Haf. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H5d. % 10.95/11.19 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.19 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 10.95/11.19 congruence. % 10.95/11.19 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 10.95/11.19 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e2))))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_Hef. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_Had. % 10.95/11.19 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 10.95/11.19 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hee]. % 10.95/11.19 congruence. % 10.95/11.19 apply (zenon_L61_); trivial. % 10.95/11.19 apply zenon_Hae. apply refl_equal. % 10.95/11.19 apply zenon_Hae. apply refl_equal. % 10.95/11.19 apply zenon_H3a. apply refl_equal. % 10.95/11.19 apply zenon_H45. apply refl_equal. % 10.95/11.19 apply zenon_Hb5. apply refl_equal. % 10.95/11.19 apply zenon_Hb5. apply refl_equal. % 10.95/11.19 apply zenon_H2b. apply refl_equal. % 10.95/11.19 apply zenon_Hb5. apply refl_equal. % 10.95/11.19 apply zenon_Hb5. apply refl_equal. % 10.95/11.19 apply (zenon_L62_); trivial. % 10.95/11.19 (* end of lemma zenon_L63_ *) % 10.95/11.19 assert (zenon_L64_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((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)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H7d zenon_H1e zenon_H46 zenon_H66 zenon_Hf0 zenon_Hdd zenon_Hdc zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H75. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 10.95/11.19 apply (zenon_L16_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 10.95/11.19 apply (zenon_L63_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 10.95/11.19 apply (zenon_L51_); trivial. % 10.95/11.19 apply (zenon_L24_); trivial. % 10.95/11.19 (* end of lemma zenon_L64_ *) % 10.95/11.19 assert (zenon_L65_ : (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hf5 zenon_Ha9 zenon_Hf0. % 10.95/11.19 cut (((op (e2) (e2)) = (e0)) = ((op (e2) (e2)) = (op (e3) (e2)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_Hf5. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_Ha9. % 10.95/11.19 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf6]. % 10.95/11.19 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_Hce. apply refl_equal. % 10.95/11.19 apply zenon_Hf6. apply sym_equal. exact zenon_Hf0. % 10.95/11.19 (* end of lemma zenon_L65_ *) % 10.95/11.19 assert (zenon_L66_ : (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hf5 zenon_H66 zenon_H85. % 10.95/11.19 cut (((op (e2) (e2)) = (e1)) = ((op (e2) (e2)) = (op (e3) (e2)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_Hf5. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H66. % 10.95/11.19 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 10.95/11.19 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_Hce. apply refl_equal. % 10.95/11.19 apply zenon_H86. apply sym_equal. exact zenon_H85. % 10.95/11.19 (* end of lemma zenon_L66_ *) % 10.95/11.19 assert (zenon_L67_ : (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hf7 zenon_H65 zenon_H74. % 10.95/11.19 cut (((op (e2) (e2)) = (e3)) = ((op (e2) (e2)) = (op (e2) (e3)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_Hf7. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H65. % 10.95/11.19 cut (((e3) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 10.95/11.19 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_Hce. apply refl_equal. % 10.95/11.19 apply zenon_H77. apply sym_equal. exact zenon_H74. % 10.95/11.19 (* end of lemma zenon_L67_ *) % 10.95/11.19 assert (zenon_L68_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hf8 zenon_Hf0 zenon_H85 zenon_Hf5 zenon_Hf9 zenon_Hf7 zenon_H74. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ]. % 10.95/11.19 apply (zenon_L65_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ]. % 10.95/11.19 apply (zenon_L66_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ]. % 10.95/11.19 exact (zenon_Hf9 zenon_Hfc). % 10.95/11.19 apply (zenon_L67_); trivial. % 10.95/11.19 (* end of lemma zenon_L68_ *) % 10.95/11.19 assert (zenon_L69_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H7d zenon_H1e zenon_H46 zenon_H24 zenon_H57 zenon_Hdd zenon_Hdc zenon_Hf8 zenon_Hf0 zenon_H85 zenon_Hf5 zenon_Hf9 zenon_Hf7. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 10.95/11.19 apply (zenon_L16_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 10.95/11.19 apply (zenon_L19_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 10.95/11.19 apply (zenon_L51_); trivial. % 10.95/11.19 apply (zenon_L68_); trivial. % 10.95/11.19 (* end of lemma zenon_L69_ *) % 10.95/11.19 assert (zenon_L70_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((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)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hfd zenon_He0 zenon_He9 zenon_H80 zenon_Hec zenon_Hbe zenon_H41 zenon_Hbd zenon_H75 zenon_H79 zenon_H6f zenon_H70 zenon_H31 zenon_H69 zenon_H78 zenon_H7d zenon_H1e zenon_H46 zenon_H24 zenon_H57 zenon_Hdd zenon_Hdc zenon_Hf8 zenon_Hf5 zenon_Hf9 zenon_Hf7. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ]. % 10.95/11.19 exact (zenon_He0 zenon_He3). % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ]. % 10.95/11.19 apply (zenon_L59_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ]. % 10.95/11.19 apply (zenon_L60_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 10.95/11.19 apply (zenon_L11_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 10.95/11.19 exact (zenon_Hbd zenon_Hc3). % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 10.95/11.19 apply (zenon_L64_); trivial. % 10.95/11.19 apply (zenon_L69_); trivial. % 10.95/11.19 (* end of lemma zenon_L70_ *) % 10.95/11.19 assert (zenon_L71_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e3))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H42 zenon_Hdc zenon_H38. % 10.95/11.19 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 10.95/11.19 cut (((e3) = (e3)) = ((e1) = (e3))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H38. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H39. % 10.95/11.19 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.19 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 10.95/11.19 congruence. % 10.95/11.19 cut (((op (e0) (e2)) = (e1)) = ((e3) = (e1))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H3b. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H42. % 10.95/11.19 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 10.95/11.19 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H100]. % 10.95/11.19 congruence. % 10.95/11.19 exact (zenon_H100 zenon_Hdc). % 10.95/11.19 apply zenon_H2f. apply refl_equal. % 10.95/11.19 apply zenon_H3a. apply refl_equal. % 10.95/11.19 apply zenon_H3a. apply refl_equal. % 10.95/11.19 (* end of lemma zenon_L71_ *) % 10.95/11.19 assert (zenon_L72_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((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)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hbe zenon_H38 zenon_Hdc zenon_Hbd zenon_H2d zenon_H7d zenon_H24 zenon_H57 zenon_Ha9 zenon_H81 zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H75. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 10.95/11.19 apply (zenon_L71_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 10.95/11.19 exact (zenon_Hbd zenon_Hc3). % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 10.95/11.19 apply (zenon_L37_); trivial. % 10.95/11.19 apply (zenon_L54_); trivial. % 10.95/11.19 (* end of lemma zenon_L72_ *) % 10.95/11.19 assert (zenon_L73_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H31 zenon_H101 zenon_H81. % 10.95/11.19 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 10.95/11.19 cut (((e3) = (e3)) = ((e0) = (e3))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H81. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H39. % 10.95/11.19 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.19 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 10.95/11.19 congruence. % 10.95/11.19 cut (((op (e0) (e3)) = (e0)) = ((e3) = (e0))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H82. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H31. % 10.95/11.19 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 10.95/11.19 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H102]. % 10.95/11.19 congruence. % 10.95/11.19 exact (zenon_H102 zenon_H101). % 10.95/11.19 apply zenon_H2b. apply refl_equal. % 10.95/11.19 apply zenon_H3a. apply refl_equal. % 10.95/11.19 apply zenon_H3a. apply refl_equal. % 10.95/11.19 (* end of lemma zenon_L73_ *) % 10.95/11.19 assert (zenon_L74_ : ((op (e2) (e0)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H103 zenon_H57 zenon_H104. % 10.95/11.19 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H105 | zenon_intro zenon_Hed ]. % 10.95/11.19 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e1) (e0)) = (op (e2) (e0)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H104. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H105. % 10.95/11.19 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed]. % 10.95/11.19 cut (((op (e2) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 10.95/11.19 congruence. % 10.95/11.19 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e1) (e0)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H106. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H103. % 10.95/11.19 cut (((e2) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H107]. % 10.95/11.19 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_Hed. apply refl_equal. % 10.95/11.19 apply zenon_H107. apply sym_equal. exact zenon_H57. % 10.95/11.19 apply zenon_Hed. apply refl_equal. % 10.95/11.19 apply zenon_Hed. apply refl_equal. % 10.95/11.19 (* end of lemma zenon_L74_ *) % 10.95/11.19 assert (zenon_L75_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e0) = (e2))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H31 zenon_H108 zenon_H109. % 10.95/11.19 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ]. % 10.95/11.19 cut (((e2) = (e2)) = ((e0) = (e2))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H109. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_Ha6. % 10.95/11.19 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.19 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H10a]. % 10.95/11.19 congruence. % 10.95/11.19 cut (((op (e0) (e3)) = (e0)) = ((e2) = (e0))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H10a. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H31. % 10.95/11.19 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 10.95/11.19 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 10.95/11.19 congruence. % 10.95/11.19 exact (zenon_H10b zenon_H108). % 10.95/11.19 apply zenon_H2b. apply refl_equal. % 10.95/11.19 apply zenon_H45. apply refl_equal. % 10.95/11.19 apply zenon_H45. apply refl_equal. % 10.95/11.19 (* end of lemma zenon_L75_ *) % 10.95/11.19 assert (zenon_L76_ : ((op (e1) (e3)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H10c zenon_H10d zenon_H10e. % 10.95/11.19 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H10f | zenon_intro zenon_H110 ]. % 10.95/11.19 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e2)) = (op (e1) (e3)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H10e. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H10f. % 10.95/11.19 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 10.95/11.19 cut (((op (e1) (e3)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H111]. % 10.95/11.19 congruence. % 10.95/11.19 cut (((op (e1) (e3)) = (e2)) = ((op (e1) (e3)) = (op (e1) (e2)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H111. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H10c. % 10.95/11.19 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H112]. % 10.95/11.19 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_H110. apply refl_equal. % 10.95/11.19 apply zenon_H112. apply sym_equal. exact zenon_H10d. % 10.95/11.19 apply zenon_H110. apply refl_equal. % 10.95/11.19 apply zenon_H110. apply refl_equal. % 10.95/11.19 (* end of lemma zenon_L76_ *) % 10.95/11.19 assert (zenon_L77_ : (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H113 zenon_H103 zenon_H114. % 10.95/11.19 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e2) (e3)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H113. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H103. % 10.95/11.19 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 10.95/11.19 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_Hed. apply refl_equal. % 10.95/11.19 apply zenon_H115. apply sym_equal. exact zenon_H114. % 10.95/11.19 (* end of lemma zenon_L77_ *) % 10.95/11.19 assert (zenon_L78_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e2)) -> (~((e1) = (e2))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H6f zenon_H10c zenon_Ha5. % 10.95/11.19 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ]. % 10.95/11.19 cut (((e2) = (e2)) = ((e1) = (e2))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_Ha5. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_Ha6. % 10.95/11.19 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.19 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 10.95/11.19 congruence. % 10.95/11.19 cut (((op (e1) (e3)) = (e1)) = ((e2) = (e1))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_Ha7. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H6f. % 10.95/11.19 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 10.95/11.19 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 10.95/11.19 congruence. % 10.95/11.19 exact (zenon_H116 zenon_H10c). % 10.95/11.19 apply zenon_H2f. apply refl_equal. % 10.95/11.19 apply zenon_H45. apply refl_equal. % 10.95/11.19 apply zenon_H45. apply refl_equal. % 10.95/11.19 (* end of lemma zenon_L78_ *) % 10.95/11.19 assert (zenon_L79_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e2)) = (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 (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H117 zenon_H104 zenon_H118 zenon_H79 zenon_H113 zenon_H103 zenon_H10e zenon_H31 zenon_H109 zenon_H119 zenon_H6f zenon_Ha5. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 10.95/11.19 apply (zenon_L74_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 10.95/11.19 exact (zenon_H118 zenon_H11c). % 10.95/11.19 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ]. % 10.95/11.19 apply (zenon_L75_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ]. % 10.95/11.19 apply (zenon_L76_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ]. % 10.95/11.19 apply (zenon_L77_); trivial. % 10.95/11.19 exact (zenon_H79 zenon_H7c). % 10.95/11.19 apply (zenon_L78_); trivial. % 10.95/11.19 (* end of lemma zenon_L79_ *) % 10.95/11.19 assert (zenon_L80_ : (((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)))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e2)) = (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))))) -> (~((e1) = (e2))) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hd6 zenon_H1e zenon_H1d zenon_H2d zenon_H24 zenon_Hbd zenon_H117 zenon_H104 zenon_H118 zenon_H79 zenon_H113 zenon_H103 zenon_H10e zenon_H31 zenon_H109 zenon_H119 zenon_Ha5. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 10.95/11.19 apply (zenon_L1_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 10.95/11.19 apply (zenon_L10_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 10.95/11.19 exact (zenon_Hbd zenon_Hc3). % 10.95/11.19 apply (zenon_L79_); trivial. % 10.95/11.19 (* end of lemma zenon_L80_ *) % 10.95/11.19 assert (zenon_L81_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e2))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H11f zenon_H46 zenon_Ha5. % 10.95/11.19 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ]. % 10.95/11.19 cut (((e2) = (e2)) = ((e1) = (e2))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_Ha5. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_Ha6. % 10.95/11.19 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.19 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 10.95/11.19 congruence. % 10.95/11.19 cut (((op (e0) (e1)) = (e1)) = ((e2) = (e1))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_Ha7. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H11f. % 10.95/11.19 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 10.95/11.19 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H120]. % 10.95/11.19 congruence. % 10.95/11.19 exact (zenon_H120 zenon_H46). % 10.95/11.19 apply zenon_H2f. apply refl_equal. % 10.95/11.19 apply zenon_H45. apply refl_equal. % 10.95/11.19 apply zenon_H45. apply refl_equal. % 10.95/11.19 (* end of lemma zenon_L81_ *) % 10.95/11.19 assert (zenon_L82_ : (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H121 zenon_H3f zenon_H6f. % 10.95/11.19 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e1) (e3)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H121. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H3f. % 10.95/11.19 cut (((e1) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 10.95/11.19 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_Ha4. apply refl_equal. % 10.95/11.19 apply zenon_H72. apply sym_equal. exact zenon_H6f. % 10.95/11.19 (* end of lemma zenon_L82_ *) % 10.95/11.19 assert (zenon_L83_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H122 zenon_H1e zenon_H123. % 10.95/11.19 cut (((op (e0) (e0)) = (e1)) = ((op (e0) (e0)) = (op (e2) (e0)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H122. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H1e. % 10.95/11.19 cut (((e1) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H124]. % 10.95/11.19 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_H21. apply refl_equal. % 10.95/11.19 apply zenon_H124. apply sym_equal. exact zenon_H123. % 10.95/11.19 (* end of lemma zenon_L83_ *) % 10.95/11.19 assert (zenon_L84_ : (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H125 zenon_H103 zenon_H8d. % 10.95/11.19 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e3) (e0)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H125. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H103. % 10.95/11.19 cut (((e2) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H126]. % 10.95/11.19 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_Hed. apply refl_equal. % 10.95/11.19 apply zenon_H126. apply sym_equal. exact zenon_H8d. % 10.95/11.19 (* end of lemma zenon_L84_ *) % 10.95/11.19 assert (zenon_L85_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e2)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H127 zenon_Hec zenon_H1e zenon_H122 zenon_H8d zenon_H125 zenon_H85 zenon_Ha9. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ]. % 10.95/11.19 apply (zenon_L60_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ]. % 10.95/11.19 apply (zenon_L83_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ]. % 10.95/11.19 apply (zenon_L84_); trivial. % 10.95/11.19 apply (zenon_L40_); trivial. % 10.95/11.19 (* end of lemma zenon_L85_ *) % 10.95/11.19 assert (zenon_L86_ : (((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)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e2)) = (e0)) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hbe zenon_H41 zenon_Hbd zenon_H2d zenon_H127 zenon_Hec zenon_H1e zenon_H122 zenon_H8d zenon_H125 zenon_Ha9. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 10.95/11.19 apply (zenon_L11_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 10.95/11.19 exact (zenon_Hbd zenon_Hc3). % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 10.95/11.19 apply (zenon_L37_); trivial. % 10.95/11.19 apply (zenon_L85_); trivial. % 10.95/11.19 (* end of lemma zenon_L86_ *) % 10.95/11.19 assert (zenon_L87_ : (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H12a zenon_H4c zenon_H5d. % 10.95/11.19 cut (((op (e2) (e0)) = (e3)) = ((op (e2) (e0)) = (op (e2) (e1)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H12a. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H4c. % 10.95/11.19 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H12b]. % 10.95/11.19 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_Hed. apply refl_equal. % 10.95/11.19 apply zenon_H12b. apply sym_equal. exact zenon_H5d. % 10.95/11.19 (* end of lemma zenon_L87_ *) % 10.95/11.19 assert (zenon_L88_ : (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e3)) = (e0)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H12c zenon_H23 zenon_H31. % 10.95/11.19 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e3)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H12c. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H23. % 10.95/11.19 cut (((e0) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6d]. % 10.95/11.19 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_H26. apply refl_equal. % 10.95/11.19 apply zenon_H6d. apply sym_equal. exact zenon_H31. % 10.95/11.19 (* end of lemma zenon_L88_ *) % 10.95/11.19 assert (zenon_L89_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H12d zenon_H11f zenon_H12e. % 10.95/11.19 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e2) (e1)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H12d. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H11f. % 10.95/11.19 cut (((e1) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 10.95/11.19 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_H26. apply refl_equal. % 10.95/11.19 apply zenon_H12f. apply sym_equal. exact zenon_H12e. % 10.95/11.19 (* end of lemma zenon_L89_ *) % 10.95/11.19 assert (zenon_L90_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H12d zenon_H46 zenon_H130. % 10.95/11.19 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e2) (e1)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H12d. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H46. % 10.95/11.19 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H131]. % 10.95/11.19 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_H26. apply refl_equal. % 10.95/11.19 apply zenon_H131. apply sym_equal. exact zenon_H130. % 10.95/11.19 (* end of lemma zenon_L90_ *) % 10.95/11.19 assert (zenon_L91_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H132 zenon_H89 zenon_H133. % 10.95/11.19 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (e1)) = (op (e3) (e1)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H132. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H89. % 10.95/11.19 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H134]. % 10.95/11.19 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_H26. apply refl_equal. % 10.95/11.19 apply zenon_H134. apply sym_equal. exact zenon_H133. % 10.95/11.19 (* end of lemma zenon_L91_ *) % 10.95/11.19 assert (zenon_L92_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H135 zenon_H31 zenon_H12c zenon_H12e zenon_H130 zenon_H12d zenon_H132 zenon_H133. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H23 | zenon_intro zenon_H136 ]. % 10.95/11.19 apply (zenon_L88_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H11f | zenon_intro zenon_H137 ]. % 10.95/11.19 apply (zenon_L89_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H46 | zenon_intro zenon_H89 ]. % 10.95/11.19 apply (zenon_L90_); trivial. % 10.95/11.19 apply (zenon_L91_); trivial. % 10.95/11.19 (* end of lemma zenon_L92_ *) % 10.95/11.19 assert (zenon_L93_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H138 zenon_H8d zenon_H95. % 10.95/11.19 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (e0)) = (op (e3) (e1)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H138. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H8d. % 10.95/11.19 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H139]. % 10.95/11.19 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_Hc7. apply refl_equal. % 10.95/11.19 apply zenon_H139. apply sym_equal. exact zenon_H95. % 10.95/11.19 (* end of lemma zenon_L93_ *) % 10.95/11.19 assert (zenon_L94_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e0)) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H13a zenon_H118 zenon_H132 zenon_H12d zenon_H12e zenon_H12c zenon_H31 zenon_H135 zenon_H12a zenon_H4c zenon_H81 zenon_H24 zenon_H1e zenon_H13b zenon_H138 zenon_H8d. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 10.95/11.19 apply (zenon_L16_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 10.95/11.19 exact (zenon_H118 zenon_H11c). % 10.95/11.19 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 10.95/11.19 apply (zenon_L30_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 10.95/11.19 apply (zenon_L44_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 10.95/11.19 apply (zenon_L87_); trivial. % 10.95/11.19 apply (zenon_L92_); trivial. % 10.95/11.19 apply (zenon_L93_); trivial. % 10.95/11.19 (* end of lemma zenon_L94_ *) % 10.95/11.19 assert (zenon_L95_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (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) (e2)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hfd zenon_He0 zenon_He9 zenon_H2d zenon_Hbe zenon_H41 zenon_Hbd zenon_H75 zenon_H79 zenon_H6f zenon_H70 zenon_H69 zenon_H78 zenon_H46 zenon_H7d zenon_H138 zenon_H13b zenon_H24 zenon_H81 zenon_H12a zenon_H135 zenon_H31 zenon_H12c zenon_H12e zenon_H12d zenon_H132 zenon_H118 zenon_H13a zenon_H127 zenon_Hec zenon_H1e zenon_H122 zenon_H8d zenon_H125 zenon_Hdd zenon_Hdc zenon_Hf8 zenon_Hf5 zenon_Hf9 zenon_Hf7. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ]. % 10.95/11.19 exact (zenon_He0 zenon_He3). % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ]. % 10.95/11.19 apply (zenon_L59_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ]. % 10.95/11.19 apply (zenon_L86_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 10.95/11.19 apply (zenon_L11_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 10.95/11.19 exact (zenon_Hbd zenon_Hc3). % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 10.95/11.19 apply (zenon_L64_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 10.95/11.19 apply (zenon_L94_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ]. % 10.95/11.19 apply (zenon_L85_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ]. % 10.95/11.19 apply (zenon_L63_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ]. % 10.95/11.19 exact (zenon_Hf9 zenon_Hfc). % 10.95/11.19 apply (zenon_L51_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 10.95/11.19 apply (zenon_L51_); trivial. % 10.95/11.19 apply (zenon_L68_); trivial. % 10.95/11.19 (* end of lemma zenon_L95_ *) % 10.95/11.19 assert (zenon_L96_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H140 zenon_H141 zenon_H85. % 10.95/11.19 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e3) (e2)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H140. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H141. % 10.95/11.19 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 10.95/11.19 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H142]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_H142. apply refl_equal. % 10.95/11.19 apply zenon_H86. apply sym_equal. exact zenon_H85. % 10.95/11.19 (* end of lemma zenon_L96_ *) % 10.95/11.19 assert (zenon_L97_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e2)) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hbe zenon_H38 zenon_Hdc zenon_Hbd zenon_Ha9 zenon_H2d zenon_H140 zenon_H141. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 10.95/11.19 apply (zenon_L71_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 10.95/11.19 exact (zenon_Hbd zenon_Hc3). % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 10.95/11.19 apply (zenon_L37_); trivial. % 10.95/11.19 apply (zenon_L96_); trivial. % 10.95/11.19 (* end of lemma zenon_L97_ *) % 10.95/11.19 assert (zenon_L98_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hdd zenon_H42 zenon_H66. % 10.95/11.19 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e2) (e2)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_Hdd. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H42. % 10.95/11.19 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 10.95/11.19 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_H87. apply refl_equal. % 10.95/11.19 apply zenon_Hf2. apply sym_equal. exact zenon_H66. % 10.95/11.19 (* end of lemma zenon_L98_ *) % 10.95/11.19 assert (zenon_L99_ : ((op (e2) (e2)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H65 zenon_H5d zenon_H143. % 10.95/11.19 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hce ]. % 10.95/11.19 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e2) (e1)) = (op (e2) (e2)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H143. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_Hcd. % 10.95/11.19 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce]. % 10.95/11.19 cut (((op (e2) (e2)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H144]. % 10.95/11.19 congruence. % 10.95/11.19 cut (((op (e2) (e2)) = (e3)) = ((op (e2) (e2)) = (op (e2) (e1)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H144. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H65. % 10.95/11.19 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H12b]. % 10.95/11.19 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_Hce. apply refl_equal. % 10.95/11.19 apply zenon_H12b. apply sym_equal. exact zenon_H5d. % 10.95/11.19 apply zenon_Hce. apply refl_equal. % 10.95/11.19 apply zenon_Hce. apply refl_equal. % 10.95/11.19 (* end of lemma zenon_L99_ *) % 10.95/11.19 assert (zenon_L100_ : (((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)) = (e2))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hf8 zenon_H80 zenon_Hec zenon_H42 zenon_Hdd zenon_Hf9 zenon_H5d zenon_H143. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ]. % 10.95/11.19 apply (zenon_L60_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ]. % 10.95/11.19 apply (zenon_L98_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ]. % 10.95/11.19 exact (zenon_Hf9 zenon_Hfc). % 10.95/11.19 apply (zenon_L99_); trivial. % 10.95/11.19 (* end of lemma zenon_L100_ *) % 10.95/11.19 assert (zenon_L101_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((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 (e1) (e2)) = (e1))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hfd zenon_He0 zenon_H24 zenon_He9 zenon_H2d zenon_Hdc zenon_H38 zenon_Hbe zenon_H143 zenon_Hf9 zenon_Hdd zenon_Hec zenon_H80 zenon_Hf8 zenon_Hbd zenon_H5d zenon_H140 zenon_H141. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ]. % 10.95/11.19 exact (zenon_He0 zenon_He3). % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ]. % 10.95/11.19 apply (zenon_L59_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ]. % 10.95/11.19 apply (zenon_L97_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 10.95/11.19 apply (zenon_L100_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 10.95/11.19 exact (zenon_Hbd zenon_Hc3). % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 10.95/11.19 apply (zenon_L63_); trivial. % 10.95/11.19 apply (zenon_L96_); trivial. % 10.95/11.19 (* end of lemma zenon_L101_ *) % 10.95/11.19 assert (zenon_L102_ : ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H141 zenon_H133 zenon_H38. % 10.95/11.19 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 10.95/11.19 cut (((e3) = (e3)) = ((e1) = (e3))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H38. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H39. % 10.95/11.19 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.19 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 10.95/11.19 congruence. % 10.95/11.19 cut (((op (e3) (e1)) = (e1)) = ((e3) = (e1))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H3b. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H141. % 10.95/11.19 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 10.95/11.19 cut (((op (e3) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H145]. % 10.95/11.19 congruence. % 10.95/11.19 exact (zenon_H145 zenon_H133). % 10.95/11.19 apply zenon_H2f. apply refl_equal. % 10.95/11.19 apply zenon_H3a. apply refl_equal. % 10.95/11.19 apply zenon_H3a. apply refl_equal. % 10.95/11.19 (* end of lemma zenon_L102_ *) % 10.95/11.19 assert (zenon_L103_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((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 (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H146 zenon_Ha5 zenon_H121 zenon_Hf7 zenon_Hf5 zenon_H125 zenon_H122 zenon_H127 zenon_H13a zenon_H118 zenon_H132 zenon_H12d zenon_H12c zenon_H135 zenon_H12a zenon_H138 zenon_H7d zenon_H46 zenon_H78 zenon_H69 zenon_H70 zenon_H6f zenon_H79 zenon_H75 zenon_H41 zenon_H13b zenon_H1e zenon_H8d zenon_H81 zenon_H31 zenon_Hb9 zenon_Hbe zenon_Hdc zenon_Hbd zenon_H2d zenon_H140 zenon_Ha1 zenon_H24 zenon_Hfd zenon_He0 zenon_He9 zenon_H143 zenon_Hf9 zenon_Hdd zenon_Hec zenon_Hf8 zenon_Hbc zenon_H38. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H11f | zenon_intro zenon_H147 ]. % 10.95/11.19 apply (zenon_L81_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H3f | zenon_intro zenon_H148 ]. % 10.95/11.19 apply (zenon_L82_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H12e | zenon_intro zenon_H141 ]. % 10.95/11.19 apply (zenon_L95_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 10.95/11.19 apply (zenon_L30_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 10.95/11.19 apply (zenon_L44_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 10.95/11.19 apply (zenon_L101_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 10.95/11.19 apply (zenon_L35_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 10.95/11.19 apply (zenon_L97_); trivial. % 10.95/11.19 apply (zenon_L41_); trivial. % 10.95/11.19 apply (zenon_L102_); trivial. % 10.95/11.19 (* end of lemma zenon_L103_ *) % 10.95/11.19 assert (zenon_L104_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((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)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hbe zenon_Ha5 zenon_H9b zenon_Hbd zenon_H2d zenon_H7d zenon_H24 zenon_H57 zenon_Ha9 zenon_H81 zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H75. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 10.95/11.19 apply (zenon_L36_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 10.95/11.19 exact (zenon_Hbd zenon_Hc3). % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 10.95/11.19 apply (zenon_L37_); trivial. % 10.95/11.19 apply (zenon_L54_); trivial. % 10.95/11.19 (* end of lemma zenon_L104_ *) % 10.95/11.19 assert (zenon_L105_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hbc zenon_Hcb zenon_Hcc zenon_Ha1 zenon_H75 zenon_H79 zenon_H6f zenon_H70 zenon_H69 zenon_H78 zenon_H81 zenon_H57 zenon_H24 zenon_H7d zenon_H2d zenon_Hbd zenon_H9b zenon_Ha5 zenon_Hbe zenon_Hb9 zenon_H31. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 10.95/11.19 apply (zenon_L46_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 10.95/11.19 apply (zenon_L35_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 10.95/11.19 apply (zenon_L104_); trivial. % 10.95/11.19 apply (zenon_L41_); trivial. % 10.95/11.19 (* end of lemma zenon_L105_ *) % 10.95/11.19 assert (zenon_L106_ : (((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) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((e0) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hd3 zenon_Hc5 zenon_Hc4 zenon_H31 zenon_Hb9 zenon_Hbe zenon_Ha5 zenon_H9b zenon_Hbd zenon_H2d zenon_H7d zenon_H24 zenon_H57 zenon_H81 zenon_H78 zenon_H69 zenon_H70 zenon_H79 zenon_H75 zenon_Ha1 zenon_Hcc zenon_Hbc zenon_H6f zenon_H38. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 10.95/11.19 apply (zenon_L43_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 10.95/11.19 apply (zenon_L44_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 10.95/11.19 apply (zenon_L105_); trivial. % 10.95/11.19 apply (zenon_L47_); trivial. % 10.95/11.19 (* end of lemma zenon_L106_ *) % 10.95/11.19 assert (zenon_L107_ : ((op (e0) (e2)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (~((e2) = (e3))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H9b zenon_Hdc zenon_H149. % 10.95/11.19 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 10.95/11.19 cut (((e3) = (e3)) = ((e2) = (e3))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H149. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H39. % 10.95/11.19 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.19 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H14a]. % 10.95/11.19 congruence. % 10.95/11.19 cut (((op (e0) (e2)) = (e2)) = ((e3) = (e2))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H14a. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H9b. % 10.95/11.19 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.19 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H100]. % 10.95/11.19 congruence. % 10.95/11.19 exact (zenon_H100 zenon_Hdc). % 10.95/11.19 apply zenon_H45. apply refl_equal. % 10.95/11.19 apply zenon_H3a. apply refl_equal. % 10.95/11.19 apply zenon_H3a. apply refl_equal. % 10.95/11.19 (* end of lemma zenon_L107_ *) % 10.95/11.19 assert (zenon_L108_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H14b zenon_H38 zenon_H1e zenon_H8d zenon_H149 zenon_H9b zenon_H31 zenon_H81. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 10.95/11.19 apply (zenon_L8_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 10.95/11.19 apply (zenon_L30_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 10.95/11.19 apply (zenon_L107_); trivial. % 10.95/11.19 apply (zenon_L73_); trivial. % 10.95/11.19 (* end of lemma zenon_L108_ *) % 10.95/11.19 assert (zenon_L109_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H80 zenon_H103 zenon_H109. % 10.95/11.19 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ]. % 10.95/11.19 cut (((e2) = (e2)) = ((e0) = (e2))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H109. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_Ha6. % 10.95/11.19 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.19 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H10a]. % 10.95/11.19 congruence. % 10.95/11.19 cut (((op (e2) (e0)) = (e0)) = ((e2) = (e0))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H10a. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H80. % 10.95/11.19 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 10.95/11.19 cut (((op (e2) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 10.95/11.19 congruence. % 10.95/11.19 exact (zenon_H14e zenon_H103). % 10.95/11.19 apply zenon_H2b. apply refl_equal. % 10.95/11.19 apply zenon_H45. apply refl_equal. % 10.95/11.19 apply zenon_H45. apply refl_equal. % 10.95/11.19 (* end of lemma zenon_L109_ *) % 10.95/11.19 assert (zenon_L110_ : ((op (e3) (e0)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H8d zenon_Hc4 zenon_H149. % 10.95/11.19 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 10.95/11.19 cut (((e3) = (e3)) = ((e2) = (e3))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H149. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H39. % 10.95/11.19 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.19 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H14a]. % 10.95/11.19 congruence. % 10.95/11.19 cut (((op (e3) (e0)) = (e2)) = ((e3) = (e2))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H14a. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H8d. % 10.95/11.19 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.19 cut (((op (e3) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H14f]. % 10.95/11.19 congruence. % 10.95/11.19 exact (zenon_H14f zenon_Hc4). % 10.95/11.19 apply zenon_H45. apply refl_equal. % 10.95/11.19 apply zenon_H3a. apply refl_equal. % 10.95/11.19 apply zenon_H3a. apply refl_equal. % 10.95/11.19 (* end of lemma zenon_L110_ *) % 10.95/11.19 assert (zenon_L111_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hd9 zenon_Hdc zenon_H41 zenon_H38 zenon_H1f zenon_H81 zenon_H80 zenon_H8d zenon_H149. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 10.95/11.19 apply (zenon_L58_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 10.95/11.19 apply (zenon_L9_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 10.95/11.19 apply (zenon_L26_); trivial. % 10.95/11.19 apply (zenon_L110_); trivial. % 10.95/11.19 (* end of lemma zenon_L111_ *) % 10.95/11.19 assert (zenon_L112_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (((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)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e3))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H146 zenon_Ha5 zenon_H121 zenon_Hf7 zenon_Hf5 zenon_H125 zenon_H122 zenon_H127 zenon_H13a zenon_H118 zenon_H132 zenon_H12d zenon_H12c zenon_H31 zenon_H135 zenon_H12a zenon_H138 zenon_H7d zenon_H46 zenon_H78 zenon_H69 zenon_H70 zenon_H6f zenon_H79 zenon_H75 zenon_H41 zenon_H13b zenon_H1e zenon_H8d zenon_H81 zenon_H140 zenon_Hbd zenon_Hf8 zenon_H80 zenon_Hec zenon_Hdd zenon_Hf9 zenon_H143 zenon_Hbe zenon_Hdc zenon_H2d zenon_He9 zenon_H24 zenon_He0 zenon_Hfd zenon_H38. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H11f | zenon_intro zenon_H147 ]. % 10.95/11.19 apply (zenon_L81_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H3f | zenon_intro zenon_H148 ]. % 10.95/11.19 apply (zenon_L82_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H12e | zenon_intro zenon_H141 ]. % 10.95/11.19 apply (zenon_L95_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 10.95/11.19 apply (zenon_L30_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 10.95/11.19 apply (zenon_L44_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 10.95/11.19 apply (zenon_L101_); trivial. % 10.95/11.19 apply (zenon_L102_); trivial. % 10.95/11.19 (* end of lemma zenon_L112_ *) % 10.95/11.19 assert (zenon_L113_ : ((op (e3) (e0)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H150 zenon_H80 zenon_H125. % 10.95/11.19 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 10.95/11.19 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e2) (e0)) = (op (e3) (e0)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H125. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_Hc6. % 10.95/11.19 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7]. % 10.95/11.19 cut (((op (e3) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H151]. % 10.95/11.19 congruence. % 10.95/11.19 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e2) (e0)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H151. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H150. % 10.95/11.19 cut (((e0) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H152]. % 10.95/11.19 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_Hc7. apply refl_equal. % 10.95/11.19 apply zenon_H152. apply sym_equal. exact zenon_H80. % 10.95/11.19 apply zenon_Hc7. apply refl_equal. % 10.95/11.19 apply zenon_Hc7. apply refl_equal. % 10.95/11.19 (* end of lemma zenon_L113_ *) % 10.95/11.19 assert (zenon_L114_ : (((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)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hbc zenon_H125 zenon_H150 zenon_Ha1 zenon_H75 zenon_H79 zenon_H6f zenon_H70 zenon_H69 zenon_H78 zenon_H81 zenon_H57 zenon_H24 zenon_H7d zenon_H2d zenon_Hbd zenon_H41 zenon_H1e zenon_Hbe zenon_Hb9 zenon_H31. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 10.95/11.19 apply (zenon_L113_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 10.95/11.19 apply (zenon_L35_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 10.95/11.19 apply (zenon_L55_); trivial. % 10.95/11.19 apply (zenon_L41_); trivial. % 10.95/11.19 (* end of lemma zenon_L114_ *) % 10.95/11.19 assert (zenon_L115_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (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)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hd6 zenon_H38 zenon_H3d zenon_Hbc zenon_H125 zenon_H150 zenon_Ha1 zenon_H75 zenon_H79 zenon_H70 zenon_H69 zenon_H78 zenon_H81 zenon_H57 zenon_H24 zenon_H7d zenon_H2d zenon_Hbd zenon_H41 zenon_H1e zenon_Hbe zenon_Hb9 zenon_H31. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 10.95/11.19 apply (zenon_L9_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 10.95/11.19 apply (zenon_L10_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 10.95/11.19 exact (zenon_Hbd zenon_Hc3). % 10.95/11.19 apply (zenon_L114_); trivial. % 10.95/11.19 (* end of lemma zenon_L115_ *) % 10.95/11.19 assert (zenon_L116_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e3))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H150 zenon_Hc4 zenon_H81. % 10.95/11.19 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 10.95/11.19 cut (((e3) = (e3)) = ((e0) = (e3))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H81. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H39. % 10.95/11.19 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.19 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 10.95/11.19 congruence. % 10.95/11.19 cut (((op (e3) (e0)) = (e0)) = ((e3) = (e0))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H82. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H150. % 10.95/11.19 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 10.95/11.19 cut (((op (e3) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H14f]. % 10.95/11.19 congruence. % 10.95/11.19 exact (zenon_H14f zenon_Hc4). % 10.95/11.19 apply zenon_H2b. apply refl_equal. % 10.95/11.19 apply zenon_H3a. apply refl_equal. % 10.95/11.19 apply zenon_H3a. apply refl_equal. % 10.95/11.19 (* end of lemma zenon_L116_ *) % 10.95/11.19 assert (zenon_L117_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e2)) = (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))))) -> (~((e1) = (e2))) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hd6 zenon_H38 zenon_H3d zenon_H2d zenon_H24 zenon_Hbd zenon_H117 zenon_H104 zenon_H118 zenon_H79 zenon_H113 zenon_H103 zenon_H10e zenon_H31 zenon_H109 zenon_H119 zenon_Ha5. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 10.95/11.19 apply (zenon_L9_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 10.95/11.19 apply (zenon_L10_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 10.95/11.19 exact (zenon_Hbd zenon_Hc3). % 10.95/11.19 apply (zenon_L79_); trivial. % 10.95/11.19 (* end of lemma zenon_L117_ *) % 10.95/11.19 assert (zenon_L118_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hbc zenon_H150 zenon_H24 zenon_Ha1 zenon_H125 zenon_H8d zenon_H122 zenon_H1e zenon_Hec zenon_H127 zenon_H2d zenon_Hbd zenon_H41 zenon_Hbe zenon_Hb9 zenon_H31. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 10.95/11.19 apply (zenon_L113_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 10.95/11.19 apply (zenon_L35_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 10.95/11.19 apply (zenon_L86_); trivial. % 10.95/11.19 apply (zenon_L41_); trivial. % 10.95/11.19 (* end of lemma zenon_L118_ *) % 10.95/11.19 assert (zenon_L119_ : (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hf5 zenon_H65 zenon_H153. % 10.95/11.19 cut (((op (e2) (e2)) = (e3)) = ((op (e2) (e2)) = (op (e3) (e2)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_Hf5. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H65. % 10.95/11.19 cut (((e3) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H154]. % 10.95/11.19 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_Hce. apply refl_equal. % 10.95/11.19 apply zenon_H154. apply sym_equal. exact zenon_H153. % 10.95/11.19 (* end of lemma zenon_L119_ *) % 10.95/11.19 assert (zenon_L120_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e1)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H155 zenon_H1e zenon_H156. % 10.95/11.19 cut (((op (e0) (e0)) = (e1)) = ((op (e0) (e0)) = (op (e3) (e0)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H155. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H1e. % 10.95/11.19 cut (((e1) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H157]. % 10.95/11.19 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_H21. apply refl_equal. % 10.95/11.19 apply zenon_H157. apply sym_equal. exact zenon_H156. % 10.95/11.19 (* end of lemma zenon_L120_ *) % 10.95/11.19 assert (zenon_L121_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H158 zenon_H150 zenon_Hf0. % 10.95/11.19 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e2)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H158. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H150. % 10.95/11.19 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf6]. % 10.95/11.19 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_Hc7. apply refl_equal. % 10.95/11.19 apply zenon_Hf6. apply sym_equal. exact zenon_Hf0. % 10.95/11.19 (* end of lemma zenon_L121_ *) % 10.95/11.19 assert (zenon_L122_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H138 zenon_H156 zenon_H141. % 10.95/11.19 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e3) (e1)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H138. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H156. % 10.95/11.19 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 10.95/11.19 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_Hc7. apply refl_equal. % 10.95/11.19 apply zenon_H159. apply sym_equal. exact zenon_H141. % 10.95/11.19 (* end of lemma zenon_L122_ *) % 10.95/11.19 assert (zenon_L123_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H158 zenon_Hc4 zenon_H153. % 10.95/11.19 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e3) (e2)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H158. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_Hc4. % 10.95/11.19 cut (((e3) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H154]. % 10.95/11.19 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_Hc7. apply refl_equal. % 10.95/11.19 apply zenon_H154. apply sym_equal. exact zenon_H153. % 10.95/11.19 (* end of lemma zenon_L123_ *) % 10.95/11.19 assert (zenon_L124_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H15a zenon_Hf0 zenon_H141 zenon_H138 zenon_H1e zenon_H89 zenon_H158 zenon_H153. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ]. % 10.95/11.19 apply (zenon_L121_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ]. % 10.95/11.19 apply (zenon_L122_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ]. % 10.95/11.19 apply (zenon_L30_); trivial. % 10.95/11.19 apply (zenon_L123_); trivial. % 10.95/11.19 (* end of lemma zenon_L124_ *) % 10.95/11.19 assert (zenon_L125_ : (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> False). % 10.95/11.19 do 0 intro. intros zenon_Ha5 zenon_H7c zenon_H6e. % 10.95/11.19 cut (((op (e3) (e3)) = (e2)) = ((e1) = (e2))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_Ha5. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H7c. % 10.95/11.19 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.19 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H15d]. % 10.95/11.19 congruence. % 10.95/11.19 exact (zenon_H15d zenon_H6e). % 10.95/11.19 apply zenon_H45. apply refl_equal. % 10.95/11.19 (* end of lemma zenon_L125_ *) % 10.95/11.19 assert (zenon_L126_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False). % 10.95/11.19 do 0 intro. intros zenon_Hfd zenon_He0 zenon_He9 zenon_Hec zenon_H7d zenon_H81 zenon_H80 zenon_H24 zenon_H57 zenon_H15e zenon_H155 zenon_H153 zenon_H158 zenon_H89 zenon_H1e zenon_H138 zenon_H15a zenon_Hf7 zenon_Hf9 zenon_Hf5 zenon_Hf8 zenon_Ha5 zenon_H7c. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ]. % 10.95/11.19 exact (zenon_He0 zenon_He3). % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ]. % 10.95/11.19 apply (zenon_L59_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ]. % 10.95/11.19 apply (zenon_L60_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 10.95/11.19 apply (zenon_L26_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 10.95/11.19 apply (zenon_L19_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 10.95/11.19 apply (zenon_L119_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 10.95/11.19 apply (zenon_L120_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 10.95/11.19 apply (zenon_L124_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 10.95/11.19 apply (zenon_L68_); trivial. % 10.95/11.19 apply (zenon_L125_); trivial. % 10.95/11.19 (* end of lemma zenon_L126_ *) % 10.95/11.19 assert (zenon_L127_ : ((op (e3) (e0)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False). % 10.95/11.19 do 0 intro. intros zenon_H150 zenon_He5 zenon_Hc5. % 10.95/11.19 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 10.95/11.19 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e1) (e0)) = (op (e3) (e0)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_Hc5. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_Hc6. % 10.95/11.19 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7]. % 10.95/11.19 cut (((op (e3) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc8]. % 10.95/11.19 congruence. % 10.95/11.19 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e1) (e0)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_Hc8. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H150. % 10.95/11.19 cut (((e0) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H161]. % 10.95/11.19 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_Hc7. apply refl_equal. % 10.95/11.19 apply zenon_H161. apply sym_equal. exact zenon_He5. % 10.95/11.19 apply zenon_Hc7. apply refl_equal. % 10.95/11.19 apply zenon_Hc7. apply refl_equal. % 10.95/11.19 (* end of lemma zenon_L127_ *) % 10.95/11.19 assert (zenon_L128_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H162 zenon_H24 zenon_H163. % 10.95/11.19 cut (((op (e1) (e1)) = (e0)) = ((op (e1) (e1)) = (op (e3) (e1)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H162. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H24. % 10.95/11.19 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H164]. % 10.95/11.19 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_Ha4. apply refl_equal. % 10.95/11.19 apply zenon_H164. apply sym_equal. exact zenon_H163. % 10.95/11.19 (* end of lemma zenon_L128_ *) % 10.95/11.19 assert (zenon_L129_ : (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H109 zenon_H7c zenon_H68. % 10.95/11.19 cut (((op (e3) (e3)) = (e2)) = ((e0) = (e2))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H109. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_H7c. % 10.95/11.19 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.19 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 10.95/11.19 congruence. % 10.95/11.19 exact (zenon_H165 zenon_H68). % 10.95/11.19 apply zenon_H45. apply refl_equal. % 10.95/11.19 (* end of lemma zenon_L129_ *) % 10.95/11.19 assert (zenon_L130_ : (((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 (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H166 zenon_Hc5 zenon_He5 zenon_H24 zenon_H162 zenon_Ha9 zenon_Hf5 zenon_H109 zenon_H7c. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 10.95/11.19 apply (zenon_L127_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 10.95/11.19 apply (zenon_L128_); trivial. % 10.95/11.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 10.95/11.19 apply (zenon_L65_); trivial. % 10.95/11.19 apply (zenon_L129_); trivial. % 10.95/11.19 (* end of lemma zenon_L130_ *) % 10.95/11.19 assert (zenon_L131_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> False). % 10.95/11.19 do 0 intro. intros zenon_H84 zenon_Hdc zenon_H153. % 10.95/11.19 cut (((op (e0) (e2)) = (e3)) = ((op (e0) (e2)) = (op (e3) (e2)))). % 10.95/11.19 intro zenon_D_pnotp. % 10.95/11.19 apply zenon_H84. % 10.95/11.19 rewrite <- zenon_D_pnotp. % 10.95/11.19 exact zenon_Hdc. % 10.95/11.19 cut (((e3) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H154]. % 10.95/11.19 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 10.95/11.19 congruence. % 10.95/11.19 apply zenon_H87. apply refl_equal. % 10.95/11.19 apply zenon_H154. apply sym_equal. exact zenon_H153. % 10.95/11.19 (* end of lemma zenon_L131_ *) % 10.95/11.19 assert (zenon_L132_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (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 (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 10.95/11.20 do 0 intro. intros zenon_H14b zenon_H38 zenon_Hb9 zenon_H166 zenon_Hc5 zenon_He5 zenon_H24 zenon_H162 zenon_Hf5 zenon_H109 zenon_H7c zenon_Ha1 zenon_Hfd zenon_He0 zenon_He9 zenon_Hec zenon_H7d zenon_H57 zenon_H15e zenon_H155 zenon_H158 zenon_H1e zenon_H138 zenon_H15a zenon_Hf7 zenon_Hf9 zenon_Hf8 zenon_Ha5 zenon_Hbc zenon_H153 zenon_H84 zenon_H31 zenon_H81. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 10.95/11.20 apply (zenon_L8_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 10.95/11.20 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 10.95/11.20 apply (zenon_L126_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 10.95/11.20 apply (zenon_L35_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 10.95/11.20 apply (zenon_L130_); trivial. % 10.95/11.20 apply (zenon_L41_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 10.95/11.20 apply (zenon_L131_); trivial. % 10.95/11.20 apply (zenon_L73_); trivial. % 10.95/11.20 (* end of lemma zenon_L132_ *) % 10.95/11.20 assert (zenon_L133_ : ((op (e3) (e3)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 10.95/11.20 do 0 intro. intros zenon_H7c zenon_H8d zenon_H169. % 10.95/11.20 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ]. % 10.95/11.20 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e0)) = (op (e3) (e3)))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H169. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H6a. % 10.95/11.20 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 10.95/11.20 cut (((op (e3) (e3)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H16a]. % 10.95/11.20 congruence. % 10.95/11.20 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e3) (e0)))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H16a. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H7c. % 10.95/11.20 cut (((e2) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H126]. % 10.95/11.20 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 10.95/11.20 congruence. % 10.95/11.20 apply zenon_H6b. apply refl_equal. % 10.95/11.20 apply zenon_H126. apply sym_equal. exact zenon_H8d. % 10.95/11.20 apply zenon_H6b. apply refl_equal. % 10.95/11.20 apply zenon_H6b. apply refl_equal. % 10.95/11.20 (* end of lemma zenon_L133_ *) % 10.95/11.20 assert (zenon_L134_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False). % 10.95/11.20 do 0 intro. intros zenon_H138 zenon_H150 zenon_H163. % 10.95/11.20 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e1)))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H138. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H150. % 10.95/11.20 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H164]. % 10.95/11.20 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7]. % 10.95/11.20 congruence. % 10.95/11.20 apply zenon_Hc7. apply refl_equal. % 10.95/11.20 apply zenon_H164. apply sym_equal. exact zenon_H163. % 10.95/11.20 (* end of lemma zenon_L134_ *) % 10.95/11.20 assert (zenon_L135_ : ((op (e3) (e3)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False). % 10.95/11.20 do 0 intro. intros zenon_H7c zenon_H95 zenon_H16b. % 10.95/11.20 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ]. % 10.95/11.20 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e1)) = (op (e3) (e3)))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H16b. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H6a. % 10.95/11.20 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 10.95/11.20 cut (((op (e3) (e3)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16c]. % 10.95/11.20 congruence. % 10.95/11.20 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e3) (e1)))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H16c. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H7c. % 10.95/11.20 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H139]. % 10.95/11.20 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 10.95/11.20 congruence. % 10.95/11.20 apply zenon_H6b. apply refl_equal. % 10.95/11.20 apply zenon_H139. apply sym_equal. exact zenon_H95. % 10.95/11.20 apply zenon_H6b. apply refl_equal. % 10.95/11.20 apply zenon_H6b. apply refl_equal. % 10.95/11.20 (* end of lemma zenon_L135_ *) % 10.95/11.20 assert (zenon_L136_ : ((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2))) -> ((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> ((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2))) -> False). % 10.95/11.20 do 0 intro. intros zenon_H16d zenon_H16e zenon_H2d zenon_H1e zenon_H22 zenon_H24 zenon_H16f zenon_H41 zenon_H170 zenon_H132 zenon_H16b zenon_H140 zenon_Hbe zenon_H125 zenon_H171 zenon_H14b zenon_H84 zenon_Hfd zenon_H81 zenon_Hf5 zenon_H15e zenon_Ha5 zenon_Hf9 zenon_Hf7 zenon_Hf8 zenon_H158 zenon_H138 zenon_H15a zenon_H155 zenon_H7d zenon_Hec zenon_He9 zenon_Ha1 zenon_H166 zenon_H109 zenon_H162 zenon_Hc5 zenon_Hb9 zenon_Hbc zenon_H38 zenon_H169 zenon_H172 zenon_H32 zenon_H173 zenon_H153 zenon_H118 zenon_H174. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ]. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ]. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H176 | zenon_intro zenon_H7c ]. % 10.95/11.20 exact (zenon_H176 zenon_H153). % 10.95/11.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 10.95/11.20 apply (zenon_L5_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 10.95/11.20 apply (zenon_L2_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 10.95/11.20 exact (zenon_He0 zenon_He3). % 10.95/11.20 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 10.95/11.20 apply (zenon_L6_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 10.95/11.20 exact (zenon_H171 zenon_H175). % 10.95/11.20 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 10.95/11.20 apply (zenon_L132_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 10.95/11.20 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 10.95/11.20 apply (zenon_L109_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 10.95/11.20 apply (zenon_L35_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 10.95/11.20 apply (zenon_L130_); trivial. % 10.95/11.20 apply (zenon_L41_); trivial. % 10.95/11.20 apply (zenon_L133_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 10.95/11.20 exact (zenon_H171 zenon_H175). % 10.95/11.20 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 10.95/11.20 apply (zenon_L8_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 10.95/11.20 apply (zenon_L126_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 10.95/11.20 apply (zenon_L131_); trivial. % 10.95/11.20 apply (zenon_L73_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 10.95/11.20 apply (zenon_L109_); trivial. % 10.95/11.20 apply (zenon_L133_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 10.95/11.20 apply (zenon_L8_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 10.95/11.20 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 10.95/11.20 apply (zenon_L113_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 10.95/11.20 apply (zenon_L35_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 10.95/11.20 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 10.95/11.20 apply (zenon_L11_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 10.95/11.20 exact (zenon_Hbd zenon_Hc3). % 10.95/11.20 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 10.95/11.20 apply (zenon_L37_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H163 | zenon_intro zenon_H17d ]. % 10.95/11.20 apply (zenon_L134_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H141 | zenon_intro zenon_H17e ]. % 10.95/11.20 apply (zenon_L96_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H95 | zenon_intro zenon_H133 ]. % 10.95/11.20 apply (zenon_L135_); trivial. % 10.95/11.20 apply (zenon_L91_); trivial. % 10.95/11.20 apply (zenon_L41_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 10.95/11.20 apply (zenon_L131_); trivial. % 10.95/11.20 apply (zenon_L73_); trivial. % 10.95/11.20 exact (zenon_H118 zenon_H11c). % 10.95/11.20 exact (zenon_H171 zenon_H175). % 10.95/11.20 (* end of lemma zenon_L136_ *) % 10.95/11.20 assert (zenon_L137_ : (~((e2) = (e3))) -> ((op (e2) (e2)) = (e3)) -> ((op (e2) (e2)) = (e2)) -> False). % 10.95/11.20 do 0 intro. intros zenon_H149 zenon_H65 zenon_Hfc. % 10.95/11.20 cut (((op (e2) (e2)) = (e3)) = ((e2) = (e3))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H149. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H65. % 10.95/11.20 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.20 cut (((op (e2) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 10.95/11.20 congruence. % 10.95/11.20 exact (zenon_Hf9 zenon_Hfc). % 10.95/11.20 apply zenon_H3a. apply refl_equal. % 10.95/11.20 (* end of lemma zenon_L137_ *) % 10.95/11.20 assert (zenon_L138_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((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)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 10.95/11.20 do 0 intro. intros zenon_H7d zenon_H81 zenon_H80 zenon_H24 zenon_H57 zenon_Hfc zenon_H149 zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H75. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 10.95/11.20 apply (zenon_L26_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 10.95/11.20 apply (zenon_L19_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 10.95/11.20 apply (zenon_L137_); trivial. % 10.95/11.20 apply (zenon_L24_); trivial. % 10.95/11.20 (* end of lemma zenon_L138_ *) % 10.95/11.20 assert (zenon_L139_ : ((op (e2) (e2)) = (e0)) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> False). % 10.95/11.20 do 0 intro. intros zenon_Ha9 zenon_Hfc zenon_H109. % 10.95/11.20 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ]. % 10.95/11.20 cut (((e2) = (e2)) = ((e0) = (e2))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H109. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_Ha6. % 10.95/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.20 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H10a]. % 10.95/11.20 congruence. % 10.95/11.20 cut (((op (e2) (e2)) = (e0)) = ((e2) = (e0))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H10a. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_Ha9. % 10.95/11.20 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 10.95/11.20 cut (((op (e2) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 10.95/11.20 congruence. % 10.95/11.20 exact (zenon_Hf9 zenon_Hfc). % 10.95/11.20 apply zenon_H2b. apply refl_equal. % 10.95/11.20 apply zenon_H45. apply refl_equal. % 10.95/11.20 apply zenon_H45. apply refl_equal. % 10.95/11.20 (* end of lemma zenon_L139_ *) % 10.95/11.20 assert (zenon_L140_ : ((op (e2) (e2)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False). % 10.95/11.20 do 0 intro. intros zenon_Hfc zenon_H10d zenon_Hcc. % 10.95/11.20 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hce ]. % 10.95/11.20 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e1) (e2)) = (op (e2) (e2)))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_Hcc. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_Hcd. % 10.95/11.20 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce]. % 10.95/11.20 cut (((op (e2) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 10.95/11.20 congruence. % 10.95/11.20 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e1) (e2)))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_Hcf. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_Hfc. % 10.95/11.20 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H112]. % 10.95/11.20 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce]. % 10.95/11.20 congruence. % 10.95/11.20 apply zenon_Hce. apply refl_equal. % 10.95/11.20 apply zenon_H112. apply sym_equal. exact zenon_H10d. % 10.95/11.20 apply zenon_Hce. apply refl_equal. % 10.95/11.20 apply zenon_Hce. apply refl_equal. % 10.95/11.20 (* end of lemma zenon_L140_ *) % 10.95/11.20 assert (zenon_L141_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 10.95/11.20 do 0 intro. intros zenon_H117 zenon_H31 zenon_Hb9 zenon_H109 zenon_Ha1 zenon_H24 zenon_H7d zenon_H81 zenon_H149 zenon_H78 zenon_H69 zenon_H70 zenon_H79 zenon_H75 zenon_Hbc zenon_H118 zenon_Hcc zenon_Hfc zenon_H6f zenon_Ha5. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 10.95/11.20 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 10.95/11.20 apply (zenon_L138_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 10.95/11.20 apply (zenon_L35_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 10.95/11.20 apply (zenon_L139_); trivial. % 10.95/11.20 apply (zenon_L41_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 10.95/11.20 exact (zenon_H118 zenon_H11c). % 10.95/11.20 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 10.95/11.20 apply (zenon_L140_); trivial. % 10.95/11.20 apply (zenon_L78_); trivial. % 10.95/11.20 (* end of lemma zenon_L141_ *) % 10.95/11.20 assert (zenon_L142_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> False). % 10.95/11.20 do 0 intro. intros zenon_Hd6 zenon_H38 zenon_H3d zenon_H2d zenon_Hbd zenon_H117 zenon_H31 zenon_Hb9 zenon_H109 zenon_Ha1 zenon_H24 zenon_H7d zenon_H81 zenon_H149 zenon_H78 zenon_H69 zenon_H70 zenon_H79 zenon_H75 zenon_Hbc zenon_H118 zenon_Hcc zenon_Hfc zenon_Ha5. % 10.95/11.20 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 10.95/11.20 apply (zenon_L9_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 10.95/11.20 apply (zenon_L10_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 10.95/11.20 exact (zenon_Hbd zenon_Hc3). % 10.95/11.20 apply (zenon_L141_); trivial. % 10.95/11.20 (* end of lemma zenon_L142_ *) % 10.95/11.20 assert (zenon_L143_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e2)) = (e2)) -> False). % 10.95/11.20 do 0 intro. intros zenon_Hec zenon_H103 zenon_Hfc. % 10.95/11.20 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e2) (e2)))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_Hec. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H103. % 10.95/11.20 cut (((e2) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H17f]. % 10.95/11.20 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed]. % 10.95/11.20 congruence. % 10.95/11.20 apply zenon_Hed. apply refl_equal. % 10.95/11.20 apply zenon_H17f. apply sym_equal. exact zenon_Hfc. % 10.95/11.20 (* end of lemma zenon_L143_ *) % 10.95/11.20 assert (zenon_L144_ : (((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 (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> False). % 10.95/11.20 do 0 intro. intros zenon_H127 zenon_H125 zenon_H150 zenon_H122 zenon_Hfc zenon_Hec zenon_H46 zenon_H1e. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ]. % 10.95/11.20 apply (zenon_L113_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ]. % 10.95/11.20 apply (zenon_L83_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ]. % 10.95/11.20 apply (zenon_L143_); trivial. % 10.95/11.20 apply (zenon_L16_); trivial. % 10.95/11.20 (* end of lemma zenon_L144_ *) % 10.95/11.20 assert (zenon_L145_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e2) (e2)) = (e2)) -> False). % 10.95/11.20 do 0 intro. intros zenon_Hdd zenon_H9b zenon_Hfc. % 10.95/11.20 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e2) (e2)))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_Hdd. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H9b. % 10.95/11.20 cut (((e2) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H17f]. % 10.95/11.20 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 10.95/11.20 congruence. % 10.95/11.20 apply zenon_H87. apply refl_equal. % 10.95/11.20 apply zenon_H17f. apply sym_equal. exact zenon_Hfc. % 10.95/11.20 (* end of lemma zenon_L145_ *) % 10.95/11.20 assert (zenon_L146_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 10.95/11.20 do 0 intro. intros zenon_H180 zenon_H171 zenon_H1e zenon_Hec zenon_H122 zenon_H150 zenon_H125 zenon_H127 zenon_Hfc zenon_Hdd zenon_H31 zenon_H109. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 10.95/11.20 exact (zenon_H171 zenon_H175). % 10.95/11.20 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 10.95/11.20 apply (zenon_L144_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 10.95/11.20 apply (zenon_L145_); trivial. % 10.95/11.20 apply (zenon_L75_); trivial. % 10.95/11.20 (* end of lemma zenon_L146_ *) % 10.95/11.20 assert (zenon_L147_ : ((op (e2) (e2)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> False). % 10.95/11.20 do 0 intro. intros zenon_H66 zenon_Hfc zenon_Ha5. % 10.95/11.20 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ]. % 10.95/11.20 cut (((e2) = (e2)) = ((e1) = (e2))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_Ha5. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_Ha6. % 10.95/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.20 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 10.95/11.20 congruence. % 10.95/11.20 cut (((op (e2) (e2)) = (e1)) = ((e2) = (e1))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_Ha7. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H66. % 10.95/11.20 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 10.95/11.20 cut (((op (e2) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 10.95/11.20 congruence. % 10.95/11.20 exact (zenon_Hf9 zenon_Hfc). % 10.95/11.20 apply zenon_H2f. apply refl_equal. % 10.95/11.20 apply zenon_H45. apply refl_equal. % 10.95/11.20 apply zenon_H45. apply refl_equal. % 10.95/11.20 (* end of lemma zenon_L147_ *) % 10.95/11.20 assert (zenon_L148_ : ((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (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)) = (e2)) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> ((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2))) -> False). % 10.95/11.20 do 0 intro. intros zenon_H16d zenon_H171 zenon_Hbe zenon_H84 zenon_Hdd zenon_H153 zenon_He1 zenon_Hfc zenon_Ha5 zenon_H1e zenon_H41 zenon_H118 zenon_H174. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ]. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ]. % 10.95/11.20 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 10.95/11.20 apply (zenon_L11_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 10.95/11.20 exact (zenon_Hbd zenon_Hc3). % 10.95/11.20 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 10.95/11.20 apply (zenon_L147_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 10.95/11.20 exact (zenon_He0 zenon_He3). % 10.95/11.20 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ]. % 10.95/11.20 apply (zenon_L27_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ]. % 10.95/11.20 apply (zenon_L145_); trivial. % 10.95/11.20 apply (zenon_L131_); trivial. % 10.95/11.20 exact (zenon_H118 zenon_H11c). % 10.95/11.20 exact (zenon_H171 zenon_H175). % 10.95/11.20 (* end of lemma zenon_L148_ *) % 10.95/11.20 assert (zenon_L149_ : (~((e0) = (e2))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> False). % 10.95/11.20 do 0 intro. intros zenon_H109 zenon_H11c zenon_H24. % 10.95/11.20 cut (((op (e1) (e1)) = (e2)) = ((e0) = (e2))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H109. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H11c. % 10.95/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.20 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H56]. % 10.95/11.20 congruence. % 10.95/11.20 exact (zenon_H56 zenon_H24). % 10.95/11.20 apply zenon_H45. apply refl_equal. % 10.95/11.20 (* end of lemma zenon_L149_ *) % 10.95/11.20 assert (zenon_L150_ : ((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e1)) -> False). % 10.95/11.20 do 0 intro. intros zenon_H174 zenon_H24 zenon_H109 zenon_Hc3. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ]. % 10.95/11.20 exact (zenon_Hbd zenon_Hc3). % 10.95/11.20 apply (zenon_L149_); trivial. % 10.95/11.20 (* end of lemma zenon_L150_ *) % 10.95/11.20 assert (zenon_L151_ : ((op (e0) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (e2))) -> False). % 10.95/11.20 do 0 intro. intros zenon_H1e zenon_H175 zenon_Ha5. % 10.95/11.20 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ]. % 10.95/11.20 cut (((e2) = (e2)) = ((e1) = (e2))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_Ha5. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_Ha6. % 10.95/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.20 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 10.95/11.20 congruence. % 10.95/11.20 cut (((op (e0) (e0)) = (e1)) = ((e2) = (e1))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_Ha7. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H1e. % 10.95/11.20 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 10.95/11.20 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H171]. % 10.95/11.20 congruence. % 10.95/11.20 exact (zenon_H171 zenon_H175). % 10.95/11.20 apply zenon_H2f. apply refl_equal. % 10.95/11.20 apply zenon_H45. apply refl_equal. % 10.95/11.20 apply zenon_H45. apply refl_equal. % 10.95/11.20 (* end of lemma zenon_L151_ *) % 10.95/11.20 assert (zenon_L152_ : ((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e0)) -> False). % 10.95/11.20 do 0 intro. intros zenon_H16d zenon_H1e zenon_Ha5 zenon_He3. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ]. % 10.95/11.20 exact (zenon_He0 zenon_He3). % 10.95/11.20 apply (zenon_L151_); trivial. % 10.95/11.20 (* end of lemma zenon_L152_ *) % 10.95/11.20 assert (zenon_L153_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False). % 10.95/11.20 do 0 intro. intros zenon_He3 zenon_H2c zenon_H41. % 10.95/11.20 elim (classic ((op (e0) (e2)) = (op (e0) (e2)))); [ zenon_intro zenon_H183 | zenon_intro zenon_H87 ]. % 10.95/11.20 cut (((op (e0) (e2)) = (op (e0) (e2))) = ((op (e0) (e0)) = (op (e0) (e2)))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H41. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H183. % 10.95/11.20 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 10.95/11.20 cut (((op (e0) (e2)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H184]. % 10.95/11.20 congruence. % 10.95/11.20 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e0) (e0)))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H184. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_He3. % 10.95/11.20 cut (((e0) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 10.95/11.20 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 10.95/11.20 congruence. % 10.95/11.20 apply zenon_H87. apply refl_equal. % 10.95/11.20 apply zenon_H36. apply sym_equal. exact zenon_H2c. % 10.95/11.20 apply zenon_H87. apply refl_equal. % 10.95/11.20 apply zenon_H87. apply refl_equal. % 10.95/11.20 (* end of lemma zenon_L153_ *) % 10.95/11.20 assert (zenon_L154_ : ((op (e2) (e0)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> False). % 10.95/11.20 do 0 intro. intros zenon_H80 zenon_He5 zenon_H104. % 10.95/11.20 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H105 | zenon_intro zenon_Hed ]. % 10.95/11.20 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e1) (e0)) = (op (e2) (e0)))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H104. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H105. % 10.95/11.20 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed]. % 10.95/11.20 cut (((op (e2) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 10.95/11.20 congruence. % 10.95/11.20 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e1) (e0)))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H106. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H80. % 10.95/11.20 cut (((e0) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H161]. % 10.95/11.20 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed]. % 10.95/11.20 congruence. % 10.95/11.20 apply zenon_Hed. apply refl_equal. % 10.95/11.20 apply zenon_H161. apply sym_equal. exact zenon_He5. % 10.95/11.20 apply zenon_Hed. apply refl_equal. % 10.95/11.20 apply zenon_Hed. apply refl_equal. % 10.95/11.20 (* end of lemma zenon_L154_ *) % 10.95/11.20 assert (zenon_L155_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> False). % 10.95/11.20 do 0 intro. intros zenon_Hdd zenon_He3 zenon_Ha9. % 10.95/11.20 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e2) (e2)))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_Hdd. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_He3. % 10.95/11.20 cut (((e0) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb2]. % 10.95/11.20 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 10.95/11.20 congruence. % 10.95/11.20 apply zenon_H87. apply refl_equal. % 10.95/11.20 apply zenon_Hb2. apply sym_equal. exact zenon_Ha9. % 10.95/11.20 (* end of lemma zenon_L155_ *) % 10.95/11.20 assert (zenon_L156_ : (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> False). % 10.95/11.20 do 0 intro. intros zenon_H88 zenon_H175 zenon_H46. % 10.95/11.20 cut (((op (e0) (e0)) = (e2)) = ((op (e0) (e0)) = (op (e0) (e1)))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H88. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H175. % 10.95/11.20 cut (((e2) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H185]. % 10.95/11.20 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 10.95/11.20 congruence. % 10.95/11.20 apply zenon_H21. apply refl_equal. % 10.95/11.20 apply zenon_H185. apply sym_equal. exact zenon_H46. % 10.95/11.20 (* end of lemma zenon_L156_ *) % 10.95/11.20 assert (zenon_L157_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False). % 10.95/11.20 do 0 intro. intros zenon_H84 zenon_He3 zenon_Hf0. % 10.95/11.20 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e3) (e2)))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H84. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_He3. % 10.95/11.20 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf6]. % 10.95/11.20 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 10.95/11.20 congruence. % 10.95/11.20 apply zenon_H87. apply refl_equal. % 10.95/11.20 apply zenon_Hf6. apply sym_equal. exact zenon_Hf0. % 10.95/11.20 (* end of lemma zenon_L157_ *) % 10.95/11.20 assert (zenon_L158_ : (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> False). % 10.95/11.20 do 0 intro. intros zenon_H32 zenon_H1e zenon_H186. % 10.95/11.20 cut (((op (e0) (e0)) = (e1)) = ((op (e0) (e0)) = (op (e0) (e3)))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H32. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H1e. % 10.95/11.20 cut (((e1) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H187]. % 10.95/11.20 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 10.95/11.20 congruence. % 10.95/11.20 apply zenon_H21. apply refl_equal. % 10.95/11.20 apply zenon_H187. apply sym_equal. exact zenon_H186. % 10.95/11.20 (* end of lemma zenon_L158_ *) % 10.95/11.20 assert (zenon_L159_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e0)))) -> ((op (e3) (e3)) = (e0)) -> False). % 10.95/11.20 do 0 intro. intros zenon_H188 zenon_H68. % 10.95/11.20 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 10.95/11.20 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.20 congruence. % 10.95/11.20 apply zenon_H3a. apply refl_equal. % 10.95/11.20 exact (zenon_H165 zenon_H68). % 10.95/11.20 (* end of lemma zenon_L159_ *) % 10.95/11.20 assert (zenon_L160_ : ((op (e3) (e0)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> (~((e2) = (op (e3) (op (e3) (e3))))) -> False). % 10.95/11.20 do 0 intro. intros zenon_H8d zenon_H68 zenon_H189. % 10.95/11.20 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ]. % 10.95/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e2) = (op (e3) (op (e3) (e3))))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H189. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H18a. % 10.95/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 10.95/11.20 cut (((op (e3) (op (e3) (e3))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H18c]. % 10.95/11.20 congruence. % 10.95/11.20 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (op (e3) (e3))) = (e2))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H18c. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H8d. % 10.95/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.20 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18d]. % 10.95/11.20 congruence. % 10.95/11.20 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ]. % 10.95/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e3))))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H18d. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H18a. % 10.95/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 10.95/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H188]. % 10.95/11.20 congruence. % 10.95/11.20 apply (zenon_L159_); trivial. % 10.95/11.20 apply zenon_H18b. apply refl_equal. % 10.95/11.20 apply zenon_H18b. apply refl_equal. % 10.95/11.20 apply zenon_H45. apply refl_equal. % 10.95/11.20 apply zenon_H18b. apply refl_equal. % 10.95/11.20 apply zenon_H18b. apply refl_equal. % 10.95/11.20 (* end of lemma zenon_L160_ *) % 10.95/11.20 assert (zenon_L161_ : ((op (e2) (e3)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> False). % 10.95/11.20 do 0 intro. intros zenon_H18e zenon_H8d zenon_H68. % 10.95/11.20 apply (zenon_notand_s _ _ ax24); [ zenon_intro zenon_H190 | zenon_intro zenon_H18f ]. % 10.95/11.20 apply zenon_H190. apply sym_equal. exact zenon_H68. % 10.95/11.20 apply (zenon_notand_s _ _ zenon_H18f); [ zenon_intro zenon_H191 | zenon_intro zenon_H189 ]. % 10.95/11.20 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ]. % 10.95/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H191. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H192. % 10.95/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193]. % 10.95/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H194]. % 10.95/11.20 congruence. % 10.95/11.20 cut (((op (e2) (e3)) = (e1)) = ((op (op (e3) (op (e3) (e3))) (e3)) = (e1))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H194. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H18e. % 10.95/11.20 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 10.95/11.20 cut (((op (e2) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H195]. % 10.95/11.20 congruence. % 10.95/11.20 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ]. % 10.95/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((op (e2) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H195. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H192. % 10.95/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193]. % 10.95/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H196]. % 10.95/11.20 congruence. % 10.95/11.20 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 10.95/11.20 cut (((op (e3) (op (e3) (e3))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H18c]. % 10.95/11.20 congruence. % 10.95/11.20 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (op (e3) (e3))) = (e2))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H18c. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H8d. % 10.95/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.20 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18d]. % 10.95/11.20 congruence. % 10.95/11.20 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ]. % 10.95/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e3))))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_H18d. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H18a. % 10.95/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 10.95/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H188]. % 10.95/11.20 congruence. % 10.95/11.20 apply (zenon_L159_); trivial. % 10.95/11.20 apply zenon_H18b. apply refl_equal. % 10.95/11.20 apply zenon_H18b. apply refl_equal. % 10.95/11.20 apply zenon_H45. apply refl_equal. % 10.95/11.20 apply zenon_H3a. apply refl_equal. % 10.95/11.20 apply zenon_H193. apply refl_equal. % 10.95/11.20 apply zenon_H193. apply refl_equal. % 10.95/11.20 apply zenon_H2f. apply refl_equal. % 10.95/11.20 apply zenon_H193. apply refl_equal. % 10.95/11.20 apply zenon_H193. apply refl_equal. % 10.95/11.20 apply (zenon_L160_); trivial. % 10.95/11.20 (* end of lemma zenon_L161_ *) % 10.95/11.20 assert (zenon_L162_ : ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((e1) = (e2))) -> False). % 10.95/11.20 do 0 intro. intros zenon_H141 zenon_H95 zenon_Ha5. % 10.95/11.20 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ]. % 10.95/11.20 cut (((e2) = (e2)) = ((e1) = (e2))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_Ha5. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_Ha6. % 10.95/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 10.95/11.20 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 10.95/11.20 congruence. % 10.95/11.20 cut (((op (e3) (e1)) = (e1)) = ((e2) = (e1))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_Ha7. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_H141. % 10.95/11.20 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 10.95/11.20 cut (((op (e3) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H197]. % 10.95/11.20 congruence. % 10.95/11.20 exact (zenon_H197 zenon_H95). % 10.95/11.20 apply zenon_H2f. apply refl_equal. % 10.95/11.20 apply zenon_H45. apply refl_equal. % 10.95/11.20 apply zenon_H45. apply refl_equal. % 10.95/11.20 (* end of lemma zenon_L162_ *) % 10.95/11.20 assert (zenon_L163_ : (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> False). % 10.95/11.20 do 0 intro. intros zenon_Hf5 zenon_Hfc zenon_H9c. % 10.95/11.20 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e3) (e2)))). % 10.95/11.20 intro zenon_D_pnotp. % 10.95/11.20 apply zenon_Hf5. % 10.95/11.20 rewrite <- zenon_D_pnotp. % 10.95/11.20 exact zenon_Hfc. % 10.95/11.20 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 10.95/11.20 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce]. % 10.95/11.20 congruence. % 10.95/11.20 apply zenon_Hce. apply refl_equal. % 10.95/11.20 apply zenon_H9d. apply sym_equal. exact zenon_H9c. % 10.95/11.20 (* end of lemma zenon_L163_ *) % 10.95/11.20 assert (zenon_L164_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False). % 10.95/11.20 do 0 intro. intros zenon_H9e zenon_H18e zenon_Ha5 zenon_H141 zenon_Hfc zenon_Hf5 zenon_H109 zenon_H68. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 10.95/11.20 apply (zenon_L161_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 10.95/11.20 apply (zenon_L162_); trivial. % 10.95/11.20 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.04/11.20 apply (zenon_L163_); trivial. % 11.04/11.20 apply (zenon_L129_); trivial. % 11.04/11.20 (* end of lemma zenon_L164_ *) % 11.04/11.20 assert (zenon_L165_ : (~((e0) = (e1))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> False). % 11.04/11.20 do 0 intro. intros zenon_H2d zenon_H6e zenon_H68. % 11.04/11.20 cut (((op (e3) (e3)) = (e1)) = ((e0) = (e1))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H2d. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H6e. % 11.04/11.20 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.20 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 11.04/11.20 congruence. % 11.04/11.20 exact (zenon_H165 zenon_H68). % 11.04/11.20 apply zenon_H2f. apply refl_equal. % 11.04/11.20 (* end of lemma zenon_L165_ *) % 11.04/11.20 assert (zenon_L166_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e0)) -> False). % 11.04/11.20 do 0 intro. intros zenon_H198 zenon_H1e zenon_H32 zenon_H199 zenon_H109 zenon_Hf5 zenon_Hfc zenon_H141 zenon_Ha5 zenon_H9e zenon_H2d zenon_H68. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ]. % 11.04/11.20 apply (zenon_L158_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ]. % 11.04/11.20 exact (zenon_H199 zenon_H6f). % 11.04/11.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ]. % 11.04/11.20 apply (zenon_L164_); trivial. % 11.04/11.20 apply (zenon_L165_); trivial. % 11.04/11.20 (* end of lemma zenon_L166_ *) % 11.04/11.20 assert (zenon_L167_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False). % 11.04/11.20 do 0 intro. intros zenon_H19c zenon_Hc3 zenon_H85. % 11.04/11.20 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e3) (e2)))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H19c. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_Hc3. % 11.04/11.20 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 11.04/11.20 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H19d]. % 11.04/11.20 congruence. % 11.04/11.20 apply zenon_H19d. apply refl_equal. % 11.04/11.20 apply zenon_H86. apply sym_equal. exact zenon_H85. % 11.04/11.20 (* end of lemma zenon_L167_ *) % 11.04/11.20 assert (zenon_L168_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((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)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (e2))) -> False). % 11.04/11.20 do 0 intro. intros zenon_H19e zenon_H80 zenon_H12d zenon_H2d zenon_H19c zenon_Hc3 zenon_H198 zenon_H1e zenon_H32 zenon_H199 zenon_H109 zenon_Hf5 zenon_Ha5 zenon_H9e zenon_H155 zenon_H15e zenon_H84 zenon_He3 zenon_H162 zenon_H24 zenon_H127 zenon_H125 zenon_H122 zenon_Hec zenon_H46 zenon_H166 zenon_H19f. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.04/11.20 apply (zenon_L109_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.04/11.20 apply (zenon_L90_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.04/11.20 apply (zenon_L144_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.04/11.20 apply (zenon_L128_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.04/11.20 apply (zenon_L157_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.20 apply (zenon_L120_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.20 apply (zenon_L166_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.20 apply (zenon_L167_); trivial. % 11.04/11.20 apply (zenon_L165_); trivial. % 11.04/11.20 exact (zenon_H19f zenon_H114). % 11.04/11.20 (* end of lemma zenon_L168_ *) % 11.04/11.20 assert (zenon_L169_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.04/11.20 do 0 intro. intros zenon_H150 zenon_H156 zenon_H2d. % 11.04/11.20 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ]. % 11.04/11.20 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H2d. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H2e. % 11.04/11.20 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.20 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 11.04/11.20 congruence. % 11.04/11.20 cut (((op (e3) (e0)) = (e0)) = ((e1) = (e0))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H30. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H150. % 11.04/11.20 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.20 cut (((op (e3) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1a2]. % 11.04/11.20 congruence. % 11.04/11.20 exact (zenon_H1a2 zenon_H156). % 11.04/11.20 apply zenon_H2b. apply refl_equal. % 11.04/11.20 apply zenon_H2f. apply refl_equal. % 11.04/11.20 apply zenon_H2f. apply refl_equal. % 11.04/11.20 (* end of lemma zenon_L169_ *) % 11.04/11.20 assert (zenon_L170_ : (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False). % 11.04/11.20 do 0 intro. intros zenon_H113 zenon_H123 zenon_H18e. % 11.04/11.20 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (e0)) = (op (e2) (e3)))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H113. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H123. % 11.04/11.20 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a3]. % 11.04/11.20 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed]. % 11.04/11.20 congruence. % 11.04/11.20 apply zenon_Hed. apply refl_equal. % 11.04/11.20 apply zenon_H1a3. apply sym_equal. exact zenon_H18e. % 11.04/11.20 (* end of lemma zenon_L170_ *) % 11.04/11.20 assert (zenon_L171_ : (((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 (e2) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> False). % 11.04/11.20 do 0 intro. intros zenon_H127 zenon_H125 zenon_H150 zenon_H18e zenon_H113 zenon_Hfc zenon_Hec zenon_H46 zenon_H1e. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ]. % 11.04/11.20 apply (zenon_L113_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ]. % 11.04/11.20 apply (zenon_L170_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ]. % 11.04/11.20 apply (zenon_L143_); trivial. % 11.04/11.20 apply (zenon_L16_); trivial. % 11.04/11.20 (* end of lemma zenon_L171_ *) % 11.04/11.20 assert (zenon_L172_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> False). % 11.04/11.20 do 0 intro. intros zenon_H19e zenon_H8d zenon_H12d zenon_H1e zenon_H46 zenon_Hec zenon_H113 zenon_H18e zenon_H150 zenon_H125 zenon_H127 zenon_H19f. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.04/11.20 apply (zenon_L84_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.04/11.20 apply (zenon_L90_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.04/11.20 apply (zenon_L171_); trivial. % 11.04/11.20 exact (zenon_H19f zenon_H114). % 11.04/11.20 (* end of lemma zenon_L172_ *) % 11.04/11.20 assert (zenon_L173_ : (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False). % 11.04/11.20 do 0 intro. intros zenon_Hf7 zenon_Ha9 zenon_Hba. % 11.04/11.20 cut (((op (e2) (e2)) = (e0)) = ((op (e2) (e2)) = (op (e2) (e3)))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_Hf7. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_Ha9. % 11.04/11.20 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hbb]. % 11.04/11.20 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce]. % 11.04/11.20 congruence. % 11.04/11.20 apply zenon_Hce. apply refl_equal. % 11.04/11.20 apply zenon_Hbb. apply sym_equal. exact zenon_Hba. % 11.04/11.20 (* end of lemma zenon_L173_ *) % 11.04/11.20 assert (zenon_L174_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> False). % 11.04/11.20 do 0 intro. intros zenon_H140 zenon_H95 zenon_H9c. % 11.04/11.20 cut (((op (e3) (e1)) = (e2)) = ((op (e3) (e1)) = (op (e3) (e2)))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H140. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H95. % 11.04/11.20 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 11.04/11.20 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H142]. % 11.04/11.20 congruence. % 11.04/11.20 apply zenon_H142. apply refl_equal. % 11.04/11.20 apply zenon_H9d. apply sym_equal. exact zenon_H9c. % 11.04/11.20 (* end of lemma zenon_L174_ *) % 11.04/11.20 assert (zenon_L175_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False). % 11.04/11.20 do 0 intro. intros zenon_H170 zenon_H150 zenon_H156 zenon_H138 zenon_H9c zenon_H140 zenon_H132 zenon_H89. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H163 | zenon_intro zenon_H17d ]. % 11.04/11.20 apply (zenon_L134_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H141 | zenon_intro zenon_H17e ]. % 11.04/11.20 apply (zenon_L122_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H95 | zenon_intro zenon_H133 ]. % 11.04/11.20 apply (zenon_L174_); trivial. % 11.04/11.20 apply (zenon_L91_); trivial. % 11.04/11.20 (* end of lemma zenon_L175_ *) % 11.04/11.20 assert (zenon_L176_ : (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False). % 11.04/11.20 do 0 intro. intros zenon_Hf7 zenon_H66 zenon_H18e. % 11.04/11.20 cut (((op (e2) (e2)) = (e1)) = ((op (e2) (e2)) = (op (e2) (e3)))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_Hf7. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H66. % 11.04/11.20 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a3]. % 11.04/11.20 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce]. % 11.04/11.20 congruence. % 11.04/11.20 apply zenon_Hce. apply refl_equal. % 11.04/11.20 apply zenon_H1a3. apply sym_equal. exact zenon_H18e. % 11.04/11.20 (* end of lemma zenon_L176_ *) % 11.04/11.20 assert (zenon_L177_ : ((op (e3) (e3)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False). % 11.04/11.20 do 0 intro. intros zenon_H6e zenon_H141 zenon_H16b. % 11.04/11.20 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ]. % 11.04/11.20 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e1)) = (op (e3) (e3)))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H16b. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H6a. % 11.04/11.20 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.20 cut (((op (e3) (e3)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16c]. % 11.04/11.20 congruence. % 11.04/11.20 cut (((op (e3) (e3)) = (e1)) = ((op (e3) (e3)) = (op (e3) (e1)))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H16c. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H6e. % 11.04/11.20 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 11.04/11.20 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.20 congruence. % 11.04/11.20 apply zenon_H6b. apply refl_equal. % 11.04/11.20 apply zenon_H159. apply sym_equal. exact zenon_H141. % 11.04/11.20 apply zenon_H6b. apply refl_equal. % 11.04/11.20 apply zenon_H6b. apply refl_equal. % 11.04/11.20 (* end of lemma zenon_L177_ *) % 11.04/11.20 assert (zenon_L178_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False). % 11.04/11.20 do 0 intro. intros zenon_H198 zenon_H1e zenon_H32 zenon_H199 zenon_H66 zenon_Hf7 zenon_H141 zenon_H16b. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ]. % 11.04/11.20 apply (zenon_L158_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ]. % 11.04/11.20 exact (zenon_H199 zenon_H6f). % 11.04/11.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ]. % 11.04/11.20 apply (zenon_L176_); trivial. % 11.04/11.20 apply (zenon_L177_); trivial. % 11.04/11.20 (* end of lemma zenon_L178_ *) % 11.04/11.20 assert (zenon_L179_ : (((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) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False). % 11.04/11.20 do 0 intro. intros zenon_H170 zenon_H150 zenon_H138 zenon_H16b zenon_H6e zenon_H9c zenon_H140 zenon_H132 zenon_H89. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H163 | zenon_intro zenon_H17d ]. % 11.04/11.20 apply (zenon_L134_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H141 | zenon_intro zenon_H17e ]. % 11.04/11.20 apply (zenon_L177_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H95 | zenon_intro zenon_H133 ]. % 11.04/11.20 apply (zenon_L174_); trivial. % 11.04/11.20 apply (zenon_L91_); trivial. % 11.04/11.20 (* end of lemma zenon_L179_ *) % 11.04/11.20 assert (zenon_L180_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False). % 11.04/11.20 do 0 intro. intros zenon_H15e zenon_Hf7 zenon_H66 zenon_H199 zenon_H32 zenon_H1e zenon_H198 zenon_Hc3 zenon_H19c zenon_H170 zenon_H150 zenon_H138 zenon_H16b zenon_H9c zenon_H140 zenon_H132 zenon_H89. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.20 apply (zenon_L175_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.20 apply (zenon_L178_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.20 apply (zenon_L167_); trivial. % 11.04/11.20 apply (zenon_L179_); trivial. % 11.04/11.20 (* end of lemma zenon_L180_ *) % 11.04/11.20 assert (zenon_L181_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> False). % 11.04/11.20 do 0 intro. intros zenon_Hf8 zenon_Hba zenon_H89 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H150 zenon_H170 zenon_H19c zenon_Hc3 zenon_H198 zenon_H1e zenon_H32 zenon_H199 zenon_Hf7 zenon_H15e zenon_H9c zenon_Hf5 zenon_H1a4. % 11.04/11.20 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ]. % 11.04/11.20 apply (zenon_L173_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ]. % 11.04/11.20 apply (zenon_L180_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ]. % 11.04/11.20 apply (zenon_L163_); trivial. % 11.04/11.20 exact (zenon_H1a4 zenon_H65). % 11.04/11.20 (* end of lemma zenon_L181_ *) % 11.04/11.20 assert (zenon_L182_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False). % 11.04/11.20 do 0 intro. intros zenon_Hb9 zenon_H186 zenon_H18e. % 11.04/11.20 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e2) (e3)))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_Hb9. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H186. % 11.04/11.20 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a3]. % 11.04/11.20 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34]. % 11.04/11.20 congruence. % 11.04/11.20 apply zenon_H34. apply refl_equal. % 11.04/11.20 apply zenon_H1a3. apply sym_equal. exact zenon_H18e. % 11.04/11.20 (* end of lemma zenon_L182_ *) % 11.04/11.20 assert (zenon_L183_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.04/11.20 do 0 intro. intros zenon_He3 zenon_Hdc zenon_H81. % 11.04/11.20 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 11.04/11.20 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H81. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H39. % 11.04/11.20 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.20 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 11.04/11.20 congruence. % 11.04/11.20 cut (((op (e0) (e2)) = (e0)) = ((e3) = (e0))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H82. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_He3. % 11.04/11.20 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.20 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H100]. % 11.04/11.20 congruence. % 11.04/11.20 exact (zenon_H100 zenon_Hdc). % 11.04/11.20 apply zenon_H2b. apply refl_equal. % 11.04/11.20 apply zenon_H3a. apply refl_equal. % 11.04/11.20 apply zenon_H3a. apply refl_equal. % 11.04/11.20 (* end of lemma zenon_L183_ *) % 11.04/11.20 assert (zenon_L184_ : ((op (e0) (e3)) = (e2)) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.04/11.20 do 0 intro. intros zenon_H108 zenon_H101 zenon_H149. % 11.04/11.20 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 11.04/11.20 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H149. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H39. % 11.04/11.20 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.20 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H14a]. % 11.04/11.20 congruence. % 11.04/11.20 cut (((op (e0) (e3)) = (e2)) = ((e3) = (e2))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H14a. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H108. % 11.04/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.20 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H102]. % 11.04/11.20 congruence. % 11.04/11.20 exact (zenon_H102 zenon_H101). % 11.04/11.20 apply zenon_H45. apply refl_equal. % 11.04/11.20 apply zenon_H3a. apply refl_equal. % 11.04/11.20 apply zenon_H3a. apply refl_equal. % 11.04/11.20 (* end of lemma zenon_L184_ *) % 11.04/11.20 assert (zenon_L185_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.04/11.20 do 0 intro. intros zenon_H14b zenon_H38 zenon_H1e zenon_H8d zenon_H81 zenon_He3 zenon_H108 zenon_H149. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.20 apply (zenon_L8_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.20 apply (zenon_L30_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.20 apply (zenon_L183_); trivial. % 11.04/11.20 apply (zenon_L184_); trivial. % 11.04/11.20 (* end of lemma zenon_L185_ *) % 11.04/11.20 assert (zenon_L186_ : ((op (e3) (e3)) = (e2)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.20 do 0 intro. intros zenon_H7c zenon_H108 zenon_H69. % 11.04/11.20 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ]. % 11.04/11.20 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e0) (e3)) = (op (e3) (e3)))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H69. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H6a. % 11.04/11.20 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.20 cut (((op (e3) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6c]. % 11.04/11.20 congruence. % 11.04/11.20 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e0) (e3)))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H6c. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H7c. % 11.04/11.20 cut (((e2) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a5]. % 11.04/11.20 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.20 congruence. % 11.04/11.20 apply zenon_H6b. apply refl_equal. % 11.04/11.20 apply zenon_H1a5. apply sym_equal. exact zenon_H108. % 11.04/11.20 apply zenon_H6b. apply refl_equal. % 11.04/11.20 apply zenon_H6b. apply refl_equal. % 11.04/11.20 (* end of lemma zenon_L186_ *) % 11.04/11.20 assert (zenon_L187_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.20 do 0 intro. intros zenon_H9e zenon_H149 zenon_He3 zenon_H81 zenon_H38 zenon_H14b zenon_Ha5 zenon_H141 zenon_H1a4 zenon_Hf5 zenon_H15e zenon_Hf7 zenon_H199 zenon_H32 zenon_H1e zenon_H198 zenon_Hc3 zenon_H19c zenon_H170 zenon_H150 zenon_H138 zenon_H16b zenon_H140 zenon_H132 zenon_H89 zenon_Hba zenon_Hf8 zenon_H108 zenon_H69. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.04/11.20 apply (zenon_L185_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.04/11.20 apply (zenon_L162_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.04/11.20 apply (zenon_L181_); trivial. % 11.04/11.20 apply (zenon_L186_); trivial. % 11.04/11.20 (* end of lemma zenon_L187_ *) % 11.04/11.20 assert (zenon_L188_ : (((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 (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.20 do 0 intro. intros zenon_Hbc zenon_H125 zenon_H24 zenon_Ha1 zenon_Hdd zenon_H9e zenon_H149 zenon_He3 zenon_H81 zenon_H38 zenon_H14b zenon_Ha5 zenon_H141 zenon_H1a4 zenon_Hf5 zenon_H15e zenon_Hf7 zenon_H199 zenon_H32 zenon_H1e zenon_H198 zenon_Hc3 zenon_H19c zenon_H170 zenon_H150 zenon_H138 zenon_H16b zenon_H140 zenon_H132 zenon_H89 zenon_Hf8 zenon_H108 zenon_H69. % 11.04/11.20 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.04/11.20 apply (zenon_L113_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.04/11.20 apply (zenon_L35_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.04/11.20 apply (zenon_L155_); trivial. % 11.04/11.20 apply (zenon_L187_); trivial. % 11.04/11.20 (* end of lemma zenon_L188_ *) % 11.04/11.20 assert (zenon_L189_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False). % 11.04/11.20 do 0 intro. intros zenon_H1a6 zenon_H1a7 zenon_Hba. % 11.04/11.20 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (e3)) = (op (e2) (e3)))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H1a6. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H1a7. % 11.04/11.20 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hbb]. % 11.04/11.20 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 11.04/11.20 congruence. % 11.04/11.20 apply zenon_H110. apply refl_equal. % 11.04/11.20 apply zenon_Hbb. apply sym_equal. exact zenon_Hba. % 11.04/11.20 (* end of lemma zenon_L189_ *) % 11.04/11.20 assert (zenon_L190_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False). % 11.04/11.20 do 0 intro. intros zenon_H1a6 zenon_H6f zenon_H18e. % 11.04/11.20 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e2) (e3)))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H1a6. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H6f. % 11.04/11.20 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a3]. % 11.04/11.20 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 11.04/11.20 congruence. % 11.04/11.20 apply zenon_H110. apply refl_equal. % 11.04/11.20 apply zenon_H1a3. apply sym_equal. exact zenon_H18e. % 11.04/11.20 (* end of lemma zenon_L190_ *) % 11.04/11.20 assert (zenon_L191_ : ((op (e3) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.20 do 0 intro. intros zenon_H7c zenon_H10c zenon_H70. % 11.04/11.20 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ]. % 11.04/11.20 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e1) (e3)) = (op (e3) (e3)))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H70. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H6a. % 11.04/11.20 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.20 cut (((op (e3) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H71]. % 11.04/11.20 congruence. % 11.04/11.20 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e1) (e3)))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H71. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H7c. % 11.04/11.20 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a8]. % 11.04/11.20 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.20 congruence. % 11.04/11.20 apply zenon_H6b. apply refl_equal. % 11.04/11.20 apply zenon_H1a8. apply sym_equal. exact zenon_H10c. % 11.04/11.20 apply zenon_H6b. apply refl_equal. % 11.04/11.20 apply zenon_H6b. apply refl_equal. % 11.04/11.20 (* end of lemma zenon_L191_ *) % 11.04/11.20 assert (zenon_L192_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> False). % 11.04/11.20 do 0 intro. intros zenon_H1a9 zenon_H101 zenon_Hd1. % 11.04/11.20 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e1) (e3)))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H1a9. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H101. % 11.04/11.20 cut (((e3) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1aa]. % 11.04/11.20 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34]. % 11.04/11.20 congruence. % 11.04/11.20 apply zenon_H34. apply refl_equal. % 11.04/11.20 apply zenon_H1aa. apply sym_equal. exact zenon_Hd1. % 11.04/11.20 (* end of lemma zenon_L192_ *) % 11.04/11.20 assert (zenon_L193_ : (((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 (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.04/11.20 do 0 intro. intros zenon_H1ab zenon_Hba zenon_H18e zenon_H1a6 zenon_H70 zenon_H7c zenon_H1a9 zenon_H101. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ]. % 11.04/11.20 apply (zenon_L189_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ]. % 11.04/11.20 apply (zenon_L190_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ]. % 11.04/11.20 apply (zenon_L191_); trivial. % 11.04/11.20 apply (zenon_L192_); trivial. % 11.04/11.20 (* end of lemma zenon_L193_ *) % 11.04/11.20 assert (zenon_L194_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((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 (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 (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.04/11.20 do 0 intro. intros zenon_H1ae zenon_H1af zenon_Hb9 zenon_H69 zenon_Hf8 zenon_H89 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H150 zenon_H170 zenon_H19c zenon_Hc3 zenon_H198 zenon_H1e zenon_H32 zenon_H199 zenon_Hf7 zenon_H15e zenon_Hf5 zenon_H1a4 zenon_H141 zenon_Ha5 zenon_H14b zenon_H38 zenon_H81 zenon_He3 zenon_H149 zenon_H9e zenon_Hdd zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H1ab zenon_Hba zenon_H18e zenon_H1a6 zenon_H70 zenon_H7c zenon_H1a9. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ]. % 11.04/11.20 exact (zenon_H1af zenon_H31). % 11.04/11.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ]. % 11.04/11.20 apply (zenon_L182_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ]. % 11.04/11.20 apply (zenon_L188_); trivial. % 11.04/11.20 apply (zenon_L193_); trivial. % 11.04/11.20 (* end of lemma zenon_L194_ *) % 11.04/11.20 assert (zenon_L195_ : (~((op (e2) (e3)) = (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) (e2)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((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 (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)) = (op (e1) (e3)))) -> False). % 11.04/11.20 do 0 intro. intros zenon_H19f zenon_H127 zenon_H113 zenon_Hec zenon_H46 zenon_H12d zenon_H19e zenon_H1ae zenon_H1af zenon_Hb9 zenon_H69 zenon_Hf8 zenon_H89 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H150 zenon_H170 zenon_H19c zenon_Hc3 zenon_H198 zenon_H1e zenon_H32 zenon_H199 zenon_Hf7 zenon_H15e zenon_Hf5 zenon_H1a4 zenon_H141 zenon_Ha5 zenon_H14b zenon_H38 zenon_H81 zenon_He3 zenon_H149 zenon_H9e zenon_Hdd zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H1ab zenon_Hba zenon_H18e zenon_H1a6 zenon_H70 zenon_H1a9. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.04/11.20 apply (zenon_L172_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.04/11.20 apply (zenon_L162_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.04/11.20 apply (zenon_L181_); trivial. % 11.04/11.20 apply (zenon_L194_); trivial. % 11.04/11.20 (* end of lemma zenon_L195_ *) % 11.04/11.20 assert (zenon_L196_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e1)) -> False). % 11.04/11.20 do 0 intro. intros zenon_H1b2 zenon_H6e. % 11.04/11.20 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H15d]. % 11.04/11.20 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.20 congruence. % 11.04/11.20 apply zenon_H3a. apply refl_equal. % 11.04/11.20 exact (zenon_H15d zenon_H6e). % 11.04/11.20 (* end of lemma zenon_L196_ *) % 11.04/11.20 assert (zenon_L197_ : ((op (e3) (e1)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> (~((e2) = (op (e3) (op (e3) (e3))))) -> False). % 11.04/11.20 do 0 intro. intros zenon_H95 zenon_H6e zenon_H189. % 11.04/11.20 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ]. % 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e2) = (op (e3) (op (e3) (e3))))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H189. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H18a. % 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H18c]. % 11.04/11.20 congruence. % 11.04/11.20 cut (((op (e3) (e1)) = (e2)) = ((op (e3) (op (e3) (e3))) = (e2))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H18c. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H95. % 11.04/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.20 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1b3]. % 11.04/11.20 congruence. % 11.04/11.20 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ]. % 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e3))))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H1b3. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H18a. % 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1b2]. % 11.04/11.20 congruence. % 11.04/11.20 apply (zenon_L196_); trivial. % 11.04/11.20 apply zenon_H18b. apply refl_equal. % 11.04/11.20 apply zenon_H18b. apply refl_equal. % 11.04/11.20 apply zenon_H45. apply refl_equal. % 11.04/11.20 apply zenon_H18b. apply refl_equal. % 11.04/11.20 apply zenon_H18b. apply refl_equal. % 11.04/11.20 (* end of lemma zenon_L197_ *) % 11.04/11.20 assert (zenon_L198_ : ((op (e2) (e3)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> False). % 11.04/11.20 do 0 intro. intros zenon_Hba zenon_H95 zenon_H6e. % 11.04/11.20 apply (zenon_notand_s _ _ ax26); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b4 ]. % 11.04/11.20 apply zenon_H1b5. apply sym_equal. exact zenon_H6e. % 11.04/11.20 apply (zenon_notand_s _ _ zenon_H1b4); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H189 ]. % 11.04/11.20 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ]. % 11.04/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H1b6. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H192. % 11.04/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193]. % 11.04/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1b7]. % 11.04/11.20 congruence. % 11.04/11.20 cut (((op (e2) (e3)) = (e0)) = ((op (op (e3) (op (e3) (e3))) (e3)) = (e0))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H1b7. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_Hba. % 11.04/11.20 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.20 cut (((op (e2) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H195]. % 11.04/11.20 congruence. % 11.04/11.20 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ]. % 11.04/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((op (e2) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H195. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H192. % 11.04/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193]. % 11.04/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H196]. % 11.04/11.20 congruence. % 11.04/11.20 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H18c]. % 11.04/11.20 congruence. % 11.04/11.20 cut (((op (e3) (e1)) = (e2)) = ((op (e3) (op (e3) (e3))) = (e2))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H18c. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H95. % 11.04/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.20 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1b3]. % 11.04/11.20 congruence. % 11.04/11.20 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ]. % 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e3))))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H1b3. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H18a. % 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1b2]. % 11.04/11.20 congruence. % 11.04/11.20 apply (zenon_L196_); trivial. % 11.04/11.20 apply zenon_H18b. apply refl_equal. % 11.04/11.20 apply zenon_H18b. apply refl_equal. % 11.04/11.20 apply zenon_H45. apply refl_equal. % 11.04/11.20 apply zenon_H3a. apply refl_equal. % 11.04/11.20 apply zenon_H193. apply refl_equal. % 11.04/11.20 apply zenon_H193. apply refl_equal. % 11.04/11.20 apply zenon_H2b. apply refl_equal. % 11.04/11.20 apply zenon_H193. apply refl_equal. % 11.04/11.20 apply zenon_H193. apply refl_equal. % 11.04/11.20 apply (zenon_L197_); trivial. % 11.04/11.20 (* end of lemma zenon_L198_ *) % 11.04/11.20 assert (zenon_L199_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False). % 11.04/11.20 do 0 intro. intros zenon_H9e zenon_H1e zenon_Hba zenon_H89 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H150 zenon_H170 zenon_Ha5 zenon_H6e. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.04/11.20 apply (zenon_L30_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.04/11.20 apply (zenon_L198_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.04/11.20 apply (zenon_L179_); trivial. % 11.04/11.20 apply (zenon_L125_); trivial. % 11.04/11.20 (* end of lemma zenon_L199_ *) % 11.04/11.20 assert (zenon_L200_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (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)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((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))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> False). % 11.04/11.20 do 0 intro. intros zenon_H1a9 zenon_H70 zenon_H1a6 zenon_H1ab zenon_Hbc zenon_H125 zenon_H24 zenon_Ha1 zenon_Hdd zenon_H149 zenon_He3 zenon_H81 zenon_H38 zenon_H14b zenon_H141 zenon_H1a4 zenon_Hf5 zenon_H15e zenon_Hf7 zenon_H199 zenon_H32 zenon_H198 zenon_Hc3 zenon_H19c zenon_Hf8 zenon_H69 zenon_Hb9 zenon_H1af zenon_H1ae zenon_H19e zenon_H12d zenon_H46 zenon_Hec zenon_H113 zenon_H127 zenon_H19f zenon_H9e zenon_H1e zenon_Hba zenon_H89 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H150 zenon_H170 zenon_Ha5. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ]. % 11.04/11.20 apply (zenon_L158_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ]. % 11.04/11.20 exact (zenon_H199 zenon_H6f). % 11.04/11.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ]. % 11.04/11.20 apply (zenon_L195_); trivial. % 11.04/11.20 apply (zenon_L199_); trivial. % 11.04/11.20 (* end of lemma zenon_L200_ *) % 11.04/11.20 assert (zenon_L201_ : (~((e0) = (e1))) -> (~((op (e2) (e3)) = (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) (e2)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> (~((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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((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 (e0) (e0)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> False). % 11.04/11.20 do 0 intro. intros zenon_H2d zenon_H19f zenon_H127 zenon_H113 zenon_Hec zenon_H46 zenon_H12d zenon_H19e zenon_H1ae zenon_H1af zenon_Hb9 zenon_H69 zenon_Hf8 zenon_H198 zenon_H32 zenon_H199 zenon_Hf7 zenon_H15e zenon_Hf5 zenon_H1a4 zenon_H14b zenon_H38 zenon_H81 zenon_He3 zenon_H149 zenon_Hdd zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H1ab zenon_H1a6 zenon_H70 zenon_H1a9 zenon_Hc3 zenon_H19c zenon_H9e zenon_H1e zenon_Hba zenon_H89 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H150 zenon_H170 zenon_Ha5. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.20 apply (zenon_L169_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.20 apply (zenon_L200_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.20 apply (zenon_L167_); trivial. % 11.04/11.20 apply (zenon_L199_); trivial. % 11.04/11.20 (* end of lemma zenon_L201_ *) % 11.04/11.20 assert (zenon_L202_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> False). % 11.04/11.20 do 0 intro. intros zenon_Hb9 zenon_H101 zenon_H74. % 11.04/11.20 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e2) (e3)))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_Hb9. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H101. % 11.04/11.20 cut (((e3) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 11.04/11.20 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34]. % 11.04/11.20 congruence. % 11.04/11.20 apply zenon_H34. apply refl_equal. % 11.04/11.20 apply zenon_H77. apply sym_equal. exact zenon_H74. % 11.04/11.20 (* end of lemma zenon_L202_ *) % 11.04/11.20 assert (zenon_L203_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.04/11.20 do 0 intro. intros zenon_H7d zenon_H1e zenon_H46 zenon_H24 zenon_H57 zenon_H1a4 zenon_Hb9 zenon_H101. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 11.04/11.20 apply (zenon_L16_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 11.04/11.20 apply (zenon_L19_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 11.04/11.20 exact (zenon_H1a4 zenon_H65). % 11.04/11.20 apply (zenon_L202_); trivial. % 11.04/11.20 (* end of lemma zenon_L203_ *) % 11.04/11.20 assert (zenon_L204_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.04/11.20 do 0 intro. intros zenon_H1ab zenon_Hba zenon_H1a6 zenon_H199 zenon_H10e zenon_H10d zenon_H1a9 zenon_H101. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ]. % 11.04/11.20 apply (zenon_L189_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ]. % 11.04/11.20 exact (zenon_H199 zenon_H6f). % 11.04/11.20 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ]. % 11.04/11.20 apply (zenon_L76_); trivial. % 11.04/11.20 apply (zenon_L192_); trivial. % 11.04/11.20 (* end of lemma zenon_L204_ *) % 11.04/11.20 assert (zenon_L205_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.04/11.20 do 0 intro. intros zenon_Hbc zenon_H19f zenon_H166 zenon_H46 zenon_Hec zenon_H122 zenon_H125 zenon_H127 zenon_H162 zenon_H84 zenon_H15e zenon_H155 zenon_H9e zenon_Ha5 zenon_Hf5 zenon_H109 zenon_H32 zenon_H1e zenon_H198 zenon_Hc3 zenon_H19c zenon_H2d zenon_H12d zenon_H19e zenon_H24 zenon_Ha1 zenon_He3 zenon_Hdd zenon_H1ab zenon_H1a6 zenon_H199 zenon_H10e zenon_H10d zenon_H1a9 zenon_H101. % 11.04/11.20 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.04/11.20 apply (zenon_L168_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.04/11.20 apply (zenon_L35_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.04/11.20 apply (zenon_L155_); trivial. % 11.04/11.20 apply (zenon_L204_); trivial. % 11.04/11.20 (* end of lemma zenon_L205_ *) % 11.04/11.20 assert (zenon_L206_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.04/11.20 do 0 intro. intros zenon_He3 zenon_H9b zenon_H109. % 11.04/11.20 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ]. % 11.04/11.20 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H109. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_Ha6. % 11.04/11.20 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.20 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H10a]. % 11.04/11.20 congruence. % 11.04/11.20 cut (((op (e0) (e2)) = (e0)) = ((e2) = (e0))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H10a. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_He3. % 11.04/11.20 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.20 cut (((op (e0) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 11.04/11.20 congruence. % 11.04/11.20 exact (zenon_Ha8 zenon_H9b). % 11.04/11.20 apply zenon_H2b. apply refl_equal. % 11.04/11.20 apply zenon_H45. apply refl_equal. % 11.04/11.20 apply zenon_H45. apply refl_equal. % 11.04/11.20 (* end of lemma zenon_L206_ *) % 11.04/11.20 assert (zenon_L207_ : ((op (e2) (e2)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False). % 11.04/11.20 do 0 intro. intros zenon_H66 zenon_Hc3 zenon_Hcc. % 11.04/11.20 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hce ]. % 11.04/11.20 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e1) (e2)) = (op (e2) (e2)))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_Hcc. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_Hcd. % 11.04/11.20 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce]. % 11.04/11.20 cut (((op (e2) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 11.04/11.20 congruence. % 11.04/11.20 cut (((op (e2) (e2)) = (e1)) = ((op (e2) (e2)) = (op (e1) (e2)))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_Hcf. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H66. % 11.04/11.20 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1b8]. % 11.04/11.20 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce]. % 11.04/11.20 congruence. % 11.04/11.20 apply zenon_Hce. apply refl_equal. % 11.04/11.20 apply zenon_H1b8. apply sym_equal. exact zenon_Hc3. % 11.04/11.20 apply zenon_Hce. apply refl_equal. % 11.04/11.20 apply zenon_Hce. apply refl_equal. % 11.04/11.20 (* end of lemma zenon_L207_ *) % 11.04/11.20 assert (zenon_L208_ : (((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 (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> False). % 11.04/11.20 do 0 intro. intros zenon_Hf8 zenon_He3 zenon_Hdd zenon_Hcc zenon_Hc3 zenon_H9c zenon_Hf5 zenon_H1a4. % 11.04/11.20 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ]. % 11.04/11.20 apply (zenon_L155_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ]. % 11.04/11.20 apply (zenon_L207_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ]. % 11.04/11.20 apply (zenon_L163_); trivial. % 11.04/11.20 exact (zenon_H1a4 zenon_H65). % 11.04/11.20 (* end of lemma zenon_L208_ *) % 11.04/11.20 assert (zenon_L209_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((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 (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> False). % 11.04/11.20 do 0 intro. intros zenon_H1b9 zenon_H109 zenon_H10e zenon_H10c zenon_H103 zenon_Hec zenon_Hf8 zenon_He3 zenon_Hdd zenon_Hcc zenon_Hc3 zenon_Hf5 zenon_H1a4. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.04/11.20 apply (zenon_L206_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.04/11.20 apply (zenon_L76_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.04/11.20 apply (zenon_L143_); trivial. % 11.04/11.20 apply (zenon_L208_); trivial. % 11.04/11.20 (* end of lemma zenon_L209_ *) % 11.04/11.20 assert (zenon_L210_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (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))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((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 (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> False). % 11.04/11.20 do 0 intro. intros zenon_H117 zenon_H104 zenon_H101 zenon_H1a9 zenon_H199 zenon_H1a6 zenon_H1ab zenon_Ha1 zenon_H24 zenon_H19e zenon_H12d zenon_H2d zenon_H19c zenon_H198 zenon_H1e zenon_H32 zenon_Ha5 zenon_H9e zenon_H155 zenon_H15e zenon_H84 zenon_H162 zenon_H127 zenon_H125 zenon_H122 zenon_H46 zenon_H166 zenon_H19f zenon_Hbc zenon_H1b9 zenon_H109 zenon_H10e zenon_H103 zenon_Hec zenon_Hf8 zenon_He3 zenon_Hdd zenon_Hcc zenon_Hc3 zenon_Hf5 zenon_H1a4. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.20 apply (zenon_L74_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.20 apply (zenon_L149_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.20 apply (zenon_L205_); trivial. % 11.04/11.20 apply (zenon_L209_); trivial. % 11.04/11.20 (* end of lemma zenon_L210_ *) % 11.04/11.20 assert (zenon_L211_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> False). % 11.04/11.20 do 0 intro. intros zenon_H19e zenon_H8d zenon_H12d zenon_H1e zenon_H46 zenon_Hec zenon_H122 zenon_H150 zenon_H125 zenon_H127 zenon_H19f. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.04/11.20 apply (zenon_L84_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.04/11.20 apply (zenon_L90_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.04/11.20 apply (zenon_L144_); trivial. % 11.04/11.20 exact (zenon_H19f zenon_H114). % 11.04/11.20 (* end of lemma zenon_L211_ *) % 11.04/11.20 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 (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((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 (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> False). % 11.04/11.20 do 0 intro. intros zenon_Hbc zenon_H125 zenon_H24 zenon_Ha1 zenon_Hdd zenon_H2d zenon_H69 zenon_H108 zenon_Hf8 zenon_H198 zenon_H32 zenon_H199 zenon_Hf7 zenon_H15e zenon_Hf5 zenon_H1a4 zenon_H14b zenon_H38 zenon_H81 zenon_He3 zenon_H149 zenon_Hc3 zenon_H19c zenon_H9e zenon_H1e zenon_H89 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H150 zenon_H170 zenon_Ha5. % 11.04/11.20 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.04/11.20 apply (zenon_L113_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.04/11.20 apply (zenon_L35_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.04/11.20 apply (zenon_L155_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.20 apply (zenon_L169_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.20 apply (zenon_L187_); trivial. % 11.04/11.20 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.20 apply (zenon_L167_); trivial. % 11.04/11.20 apply (zenon_L199_); trivial. % 11.04/11.20 (* end of lemma zenon_L212_ *) % 11.04/11.20 assert (zenon_L213_ : ((op (e3) (e1)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.04/11.20 do 0 intro. intros zenon_H163 zenon_H141 zenon_H2d. % 11.04/11.20 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ]. % 11.04/11.20 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H2d. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H2e. % 11.04/11.20 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.20 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 11.04/11.20 congruence. % 11.04/11.20 cut (((op (e3) (e1)) = (e0)) = ((e1) = (e0))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H30. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H163. % 11.04/11.20 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.20 cut (((op (e3) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1bc]. % 11.04/11.20 congruence. % 11.04/11.20 exact (zenon_H1bc zenon_H141). % 11.04/11.20 apply zenon_H2b. apply refl_equal. % 11.04/11.20 apply zenon_H2f. apply refl_equal. % 11.04/11.20 apply zenon_H2f. apply refl_equal. % 11.04/11.20 (* end of lemma zenon_L213_ *) % 11.04/11.20 assert (zenon_L214_ : ((op (e3) (e1)) = (e0)) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (op (e3) (op (e3) (e3))))) -> False). % 11.04/11.20 do 0 intro. intros zenon_H163 zenon_H6e zenon_H1bd. % 11.04/11.20 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ]. % 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e0) = (op (e3) (op (e3) (e3))))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H1bd. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H18a. % 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1be]. % 11.04/11.20 congruence. % 11.04/11.20 cut (((op (e3) (e1)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H1be. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H163. % 11.04/11.20 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.20 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1b3]. % 11.04/11.20 congruence. % 11.04/11.20 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ]. % 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e3))))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H1b3. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H18a. % 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 11.04/11.20 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1b2]. % 11.04/11.20 congruence. % 11.04/11.20 apply (zenon_L196_); trivial. % 11.04/11.20 apply zenon_H18b. apply refl_equal. % 11.04/11.20 apply zenon_H18b. apply refl_equal. % 11.04/11.20 apply zenon_H2b. apply refl_equal. % 11.04/11.20 apply zenon_H18b. apply refl_equal. % 11.04/11.20 apply zenon_H18b. apply refl_equal. % 11.04/11.20 (* end of lemma zenon_L214_ *) % 11.04/11.20 assert (zenon_L215_ : ((op (e0) (e3)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e3)) = (e1)) -> False). % 11.04/11.20 do 0 intro. intros zenon_H108 zenon_H163 zenon_H6e. % 11.04/11.20 apply (zenon_notand_s _ _ ax27); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1bf ]. % 11.04/11.20 apply zenon_H1b5. apply sym_equal. exact zenon_H6e. % 11.04/11.20 apply (zenon_notand_s _ _ zenon_H1bf); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1bd ]. % 11.04/11.20 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ]. % 11.04/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))). % 11.04/11.20 intro zenon_D_pnotp. % 11.04/11.20 apply zenon_H1c0. % 11.04/11.20 rewrite <- zenon_D_pnotp. % 11.04/11.20 exact zenon_H192. % 11.04/11.20 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193]. % 11.04/11.21 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1c1]. % 11.04/11.21 congruence. % 11.04/11.21 cut (((op (e0) (e3)) = (e2)) = ((op (op (e3) (op (e3) (e3))) (e3)) = (e2))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_H1c1. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H108. % 11.04/11.21 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.21 cut (((op (e0) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 11.04/11.21 congruence. % 11.04/11.21 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ]. % 11.04/11.21 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((op (e0) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_H1c2. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H192. % 11.04/11.21 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193]. % 11.04/11.21 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1c3]. % 11.04/11.21 congruence. % 11.04/11.21 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.21 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1be]. % 11.04/11.21 congruence. % 11.04/11.21 cut (((op (e3) (e1)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_H1be. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H163. % 11.04/11.21 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.21 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1b3]. % 11.04/11.21 congruence. % 11.04/11.21 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ]. % 11.04/11.21 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e3))))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_H1b3. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H18a. % 11.04/11.21 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 11.04/11.21 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1b2]. % 11.04/11.21 congruence. % 11.04/11.21 apply (zenon_L196_); trivial. % 11.04/11.21 apply zenon_H18b. apply refl_equal. % 11.04/11.21 apply zenon_H18b. apply refl_equal. % 11.04/11.21 apply zenon_H2b. apply refl_equal. % 11.04/11.21 apply zenon_H3a. apply refl_equal. % 11.04/11.21 apply zenon_H193. apply refl_equal. % 11.04/11.21 apply zenon_H193. apply refl_equal. % 11.04/11.21 apply zenon_H45. apply refl_equal. % 11.04/11.21 apply zenon_H193. apply refl_equal. % 11.04/11.21 apply zenon_H193. apply refl_equal. % 11.04/11.21 apply (zenon_L214_); trivial. % 11.04/11.21 (* end of lemma zenon_L215_ *) % 11.04/11.21 assert (zenon_L216_ : (((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)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> False). % 11.04/11.21 do 0 intro. intros zenon_H15e zenon_H1e zenon_H155 zenon_H2d zenon_Hc3 zenon_H19c zenon_H108 zenon_H163. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.21 apply (zenon_L120_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.21 apply (zenon_L213_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.21 apply (zenon_L167_); trivial. % 11.04/11.21 apply (zenon_L215_); trivial. % 11.04/11.21 (* end of lemma zenon_L216_ *) % 11.04/11.21 assert (zenon_L217_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False). % 11.04/11.21 do 0 intro. intros zenon_H9e zenon_H149 zenon_H108 zenon_H81 zenon_H1e zenon_H38 zenon_H14b zenon_Ha5 zenon_H141 zenon_H1a4 zenon_Hf5 zenon_Hc3 zenon_Hcc zenon_Hdd zenon_He3 zenon_Hf8 zenon_H109 zenon_H68. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.04/11.21 apply (zenon_L185_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.04/11.21 apply (zenon_L162_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.04/11.21 apply (zenon_L208_); trivial. % 11.04/11.21 apply (zenon_L129_); trivial. % 11.04/11.21 (* end of lemma zenon_L217_ *) % 11.04/11.21 assert (zenon_L218_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((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 (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (((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 (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (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)))) -> (~((e0) = (e1))) -> False). % 11.04/11.21 do 0 intro. intros zenon_H166 zenon_H170 zenon_H138 zenon_H16b zenon_H140 zenon_H132 zenon_H89 zenon_Hf7 zenon_H199 zenon_H32 zenon_H198 zenon_H69 zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H84 zenon_H15e zenon_H155 zenon_H109 zenon_Hf8 zenon_He3 zenon_Hdd zenon_Hcc zenon_Hf5 zenon_H1a4 zenon_Ha5 zenon_H14b zenon_H38 zenon_H1e zenon_H81 zenon_H108 zenon_H149 zenon_H9e zenon_Hc3 zenon_H19c zenon_H2d. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.04/11.21 apply (zenon_L212_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.04/11.21 apply (zenon_L216_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.04/11.21 apply (zenon_L157_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.21 apply (zenon_L120_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.21 apply (zenon_L217_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.21 apply (zenon_L167_); trivial. % 11.04/11.21 apply (zenon_L165_); trivial. % 11.04/11.21 (* end of lemma zenon_L218_ *) % 11.04/11.21 assert (zenon_L219_ : (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((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 (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.04/11.21 do 0 intro. intros zenon_H3c zenon_H199 zenon_H166 zenon_H170 zenon_H138 zenon_H16b zenon_H140 zenon_H132 zenon_Hf7 zenon_H32 zenon_H198 zenon_H69 zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H84 zenon_H15e zenon_H155 zenon_H109 zenon_Hf8 zenon_Hdd zenon_Hcc zenon_Hf5 zenon_H1a4 zenon_Ha5 zenon_H14b zenon_H38 zenon_H1e zenon_H9e zenon_H19c zenon_H2d zenon_H1d zenon_Hd6 zenon_H81 zenon_He3 zenon_H108 zenon_H149. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.21 exact (zenon_H3c zenon_H37). % 11.04/11.21 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.21 apply (zenon_L1_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.21 apply (zenon_L10_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.21 apply (zenon_L218_); trivial. % 11.04/11.21 exact (zenon_H199 zenon_H6f). % 11.04/11.21 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.21 apply (zenon_L183_); trivial. % 11.04/11.21 apply (zenon_L184_); trivial. % 11.04/11.21 (* end of lemma zenon_L219_ *) % 11.04/11.21 assert (zenon_L220_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (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)) = (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) (e0)) = (e3))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((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 (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False). % 11.04/11.21 do 0 intro. intros zenon_H180 zenon_H19f zenon_H127 zenon_H150 zenon_H122 zenon_Hec zenon_H12d zenon_H19e zenon_H70 zenon_Hb9 zenon_H1af zenon_H1ae zenon_H113 zenon_Hd9 zenon_H117 zenon_H104 zenon_H1a9 zenon_H1a6 zenon_H1ab zenon_H162 zenon_H1b9 zenon_H10e zenon_H7d zenon_H88 zenon_H172 zenon_H3c zenon_H199 zenon_H166 zenon_H170 zenon_H138 zenon_H16b zenon_H140 zenon_H132 zenon_Hf7 zenon_H32 zenon_H198 zenon_H69 zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H84 zenon_H15e zenon_H155 zenon_H109 zenon_Hf8 zenon_Hdd zenon_Hcc zenon_Hf5 zenon_H1a4 zenon_Ha5 zenon_H14b zenon_H38 zenon_H1e zenon_H9e zenon_H19c zenon_H2d zenon_H1d zenon_Hd6 zenon_H81 zenon_He3 zenon_H149. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.04/11.21 apply (zenon_L151_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.04/11.21 apply (zenon_L156_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.21 exact (zenon_H3c zenon_H37). % 11.04/11.21 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.04/11.21 exact (zenon_H3c zenon_H37). % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.21 apply (zenon_L9_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.21 apply (zenon_L10_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.04/11.21 apply (zenon_L168_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.04/11.21 apply (zenon_L35_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.04/11.21 apply (zenon_L155_); trivial. % 11.04/11.21 apply (zenon_L201_); trivial. % 11.04/11.21 exact (zenon_H199 zenon_H6f). % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.04/11.21 apply (zenon_L16_); trivial. % 11.04/11.21 apply (zenon_L116_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.21 apply (zenon_L183_); trivial. % 11.04/11.21 apply (zenon_L203_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.21 exact (zenon_H3c zenon_H37). % 11.04/11.21 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.04/11.21 exact (zenon_H3c zenon_H37). % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.21 apply (zenon_L9_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.21 apply (zenon_L10_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.04/11.21 apply (zenon_L109_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.04/11.21 apply (zenon_L35_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.04/11.21 apply (zenon_L155_); trivial. % 11.04/11.21 apply (zenon_L201_); trivial. % 11.04/11.21 exact (zenon_H199 zenon_H6f). % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.04/11.21 apply (zenon_L16_); trivial. % 11.04/11.21 apply (zenon_L116_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.21 apply (zenon_L183_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.04/11.21 exact (zenon_H3c zenon_H37). % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.21 apply (zenon_L9_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.21 apply (zenon_L10_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.21 apply (zenon_L210_); trivial. % 11.04/11.21 exact (zenon_H199 zenon_H6f). % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.04/11.21 apply (zenon_L16_); trivial. % 11.04/11.21 apply (zenon_L116_); trivial. % 11.04/11.21 apply (zenon_L211_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.04/11.21 apply (zenon_L206_); trivial. % 11.04/11.21 apply (zenon_L219_); trivial. % 11.04/11.21 (* end of lemma zenon_L220_ *) % 11.04/11.21 assert (zenon_L221_ : ((op (e3) (e3)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.21 do 0 intro. intros zenon_H68 zenon_Hba zenon_H75. % 11.04/11.21 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ]. % 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e2) (e3)) = (op (e3) (e3)))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_H75. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H6a. % 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.21 cut (((op (e3) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 11.04/11.21 congruence. % 11.04/11.21 cut (((op (e3) (e3)) = (e0)) = ((op (e3) (e3)) = (op (e2) (e3)))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_H76. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H68. % 11.04/11.21 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hbb]. % 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.21 congruence. % 11.04/11.21 apply zenon_H6b. apply refl_equal. % 11.04/11.21 apply zenon_Hbb. apply sym_equal. exact zenon_Hba. % 11.04/11.21 apply zenon_H6b. apply refl_equal. % 11.04/11.21 apply zenon_H6b. apply refl_equal. % 11.04/11.21 (* end of lemma zenon_L221_ *) % 11.04/11.21 assert (zenon_L222_ : (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e1))) -> (~((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)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (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) (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) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (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) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.21 do 0 intro. intros zenon_H149 zenon_H81 zenon_Hd6 zenon_H1d zenon_H2d zenon_H19c zenon_H9e zenon_H1e zenon_H38 zenon_H14b zenon_Ha5 zenon_H1a4 zenon_Hf5 zenon_Hcc zenon_Hdd zenon_Hf8 zenon_H109 zenon_H155 zenon_H15e zenon_Hbc zenon_H125 zenon_Ha1 zenon_H69 zenon_H198 zenon_H32 zenon_Hf7 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H170 zenon_H166 zenon_H199 zenon_H3c zenon_H172 zenon_H88 zenon_H7d zenon_H10e zenon_H1b9 zenon_H1ab zenon_H1a6 zenon_H1a9 zenon_H104 zenon_H117 zenon_Hd9 zenon_H113 zenon_H1ae zenon_H1af zenon_Hb9 zenon_H70 zenon_H19e zenon_H12d zenon_Hec zenon_H122 zenon_H127 zenon_H19f zenon_H180 zenon_H24 zenon_H162 zenon_He3 zenon_H84 zenon_Hba zenon_H75. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.04/11.21 apply (zenon_L220_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.04/11.21 apply (zenon_L128_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.04/11.21 apply (zenon_L157_); trivial. % 11.04/11.21 apply (zenon_L221_); trivial. % 11.04/11.21 (* end of lemma zenon_L222_ *) % 11.04/11.21 assert (zenon_L223_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.04/11.21 do 0 intro. intros zenon_H1c4 zenon_Hc5 zenon_H3d zenon_H89 zenon_H132 zenon_H65 zenon_Hf5 zenon_H1c5. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ]. % 11.04/11.21 apply (zenon_L43_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ]. % 11.04/11.21 apply (zenon_L91_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ]. % 11.04/11.21 apply (zenon_L119_); trivial. % 11.04/11.21 exact (zenon_H1c5 zenon_H73). % 11.04/11.21 (* end of lemma zenon_L223_ *) % 11.04/11.21 assert (zenon_L224_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.04/11.21 do 0 intro. intros zenon_H1f zenon_H57 zenon_Ha5. % 11.04/11.21 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ]. % 11.04/11.21 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_Ha5. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_Ha6. % 11.04/11.21 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.21 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 11.04/11.21 congruence. % 11.04/11.21 cut (((op (e1) (e0)) = (e1)) = ((e2) = (e1))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_Ha7. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H1f. % 11.04/11.21 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.21 cut (((op (e1) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1c8]. % 11.04/11.21 congruence. % 11.04/11.21 exact (zenon_H1c8 zenon_H57). % 11.04/11.21 apply zenon_H2f. apply refl_equal. % 11.04/11.21 apply zenon_H45. apply refl_equal. % 11.04/11.21 apply zenon_H45. apply refl_equal. % 11.04/11.21 (* end of lemma zenon_L224_ *) % 11.04/11.21 assert (zenon_L225_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.04/11.21 do 0 intro. intros zenon_H1a7 zenon_Hd1 zenon_H81. % 11.04/11.21 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 11.04/11.21 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_H81. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H39. % 11.04/11.21 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.21 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 11.04/11.21 congruence. % 11.04/11.21 cut (((op (e1) (e3)) = (e0)) = ((e3) = (e0))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_H82. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H1a7. % 11.04/11.21 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.21 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 11.04/11.21 congruence. % 11.04/11.21 exact (zenon_Hd2 zenon_Hd1). % 11.04/11.21 apply zenon_H2b. apply refl_equal. % 11.04/11.21 apply zenon_H3a. apply refl_equal. % 11.04/11.21 apply zenon_H3a. apply refl_equal. % 11.04/11.21 (* end of lemma zenon_L225_ *) % 11.04/11.21 assert (zenon_L226_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.04/11.21 do 0 intro. intros zenon_Hd9 zenon_H3c zenon_H1c5 zenon_Hf5 zenon_H65 zenon_H132 zenon_H89 zenon_Hc5 zenon_H1c4 zenon_H1e zenon_H46 zenon_H150 zenon_H81. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.04/11.21 exact (zenon_H3c zenon_H37). % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.04/11.21 apply (zenon_L223_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.04/11.21 apply (zenon_L16_); trivial. % 11.04/11.21 apply (zenon_L116_); trivial. % 11.04/11.21 (* end of lemma zenon_L226_ *) % 11.04/11.21 assert (zenon_L227_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> False). % 11.04/11.21 do 0 intro. intros zenon_Hb9 zenon_H108 zenon_H114. % 11.04/11.21 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (e3)) = (op (e2) (e3)))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_Hb9. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H108. % 11.04/11.21 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 11.04/11.21 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34]. % 11.04/11.21 congruence. % 11.04/11.21 apply zenon_H34. apply refl_equal. % 11.04/11.21 apply zenon_H115. apply sym_equal. exact zenon_H114. % 11.04/11.21 (* end of lemma zenon_L227_ *) % 11.04/11.21 assert (zenon_L228_ : ((op (e3) (e3)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.21 do 0 intro. intros zenon_H68 zenon_H1a7 zenon_H70. % 11.04/11.21 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ]. % 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e1) (e3)) = (op (e3) (e3)))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_H70. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H6a. % 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.21 cut (((op (e3) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H71]. % 11.04/11.21 congruence. % 11.04/11.21 cut (((op (e3) (e3)) = (e0)) = ((op (e3) (e3)) = (op (e1) (e3)))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_H71. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H68. % 11.04/11.21 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1c9]. % 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.21 congruence. % 11.04/11.21 apply zenon_H6b. apply refl_equal. % 11.04/11.21 apply zenon_H1c9. apply sym_equal. exact zenon_H1a7. % 11.04/11.21 apply zenon_H6b. apply refl_equal. % 11.04/11.21 apply zenon_H6b. apply refl_equal. % 11.04/11.21 (* end of lemma zenon_L228_ *) % 11.04/11.21 assert (zenon_L229_ : ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False). % 11.04/11.21 do 0 intro. intros zenon_H7c zenon_H9c zenon_H1ca. % 11.04/11.21 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ]. % 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e2)) = (op (e3) (e3)))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_H1ca. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H6a. % 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 11.04/11.21 congruence. % 11.04/11.21 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e3) (e2)))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_H1cb. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H7c. % 11.04/11.21 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.21 congruence. % 11.04/11.21 apply zenon_H6b. apply refl_equal. % 11.04/11.21 apply zenon_H9d. apply sym_equal. exact zenon_H9c. % 11.04/11.21 apply zenon_H6b. apply refl_equal. % 11.04/11.21 apply zenon_H6b. apply refl_equal. % 11.04/11.21 (* end of lemma zenon_L229_ *) % 11.04/11.21 assert (zenon_L230_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.04/11.21 do 0 intro. intros zenon_H78 zenon_H70 zenon_H1a7 zenon_H16b zenon_H141 zenon_H1ca zenon_H9c zenon_H1c5. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H68 | zenon_intro zenon_H7a ]. % 11.04/11.21 apply (zenon_L228_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H6e | zenon_intro zenon_H7b ]. % 11.04/11.21 apply (zenon_L177_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7c | zenon_intro zenon_H73 ]. % 11.04/11.21 apply (zenon_L229_); trivial. % 11.04/11.21 exact (zenon_H1c5 zenon_H73). % 11.04/11.21 (* end of lemma zenon_L230_ *) % 11.04/11.21 assert (zenon_L231_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> False). % 11.04/11.21 do 0 intro. intros zenon_H1a6 zenon_H10c zenon_H114. % 11.04/11.21 cut (((op (e1) (e3)) = (e2)) = ((op (e1) (e3)) = (op (e2) (e3)))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_H1a6. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H10c. % 11.04/11.21 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 11.04/11.21 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 11.04/11.21 congruence. % 11.04/11.21 apply zenon_H110. apply refl_equal. % 11.04/11.21 apply zenon_H115. apply sym_equal. exact zenon_H114. % 11.04/11.21 (* end of lemma zenon_L231_ *) % 11.04/11.21 assert (zenon_L232_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.04/11.21 do 0 intro. intros zenon_H1ab zenon_H1c5 zenon_H9c zenon_H1ca zenon_H141 zenon_H16b zenon_H70 zenon_H78 zenon_H199 zenon_H114 zenon_H1a6 zenon_H1a9 zenon_H101. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ]. % 11.04/11.21 apply (zenon_L230_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ]. % 11.04/11.21 exact (zenon_H199 zenon_H6f). % 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ]. % 11.04/11.21 apply (zenon_L231_); trivial. % 11.04/11.21 apply (zenon_L192_); trivial. % 11.04/11.21 (* end of lemma zenon_L232_ *) % 11.04/11.21 assert (zenon_L233_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.04/11.21 do 0 intro. intros zenon_H1ae zenon_H1af zenon_H18e zenon_Hb9 zenon_H1ab zenon_H1c5 zenon_H9c zenon_H1ca zenon_H141 zenon_H16b zenon_H70 zenon_H78 zenon_H199 zenon_H114 zenon_H1a6 zenon_H1a9. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ]. % 11.04/11.21 exact (zenon_H1af zenon_H31). % 11.04/11.21 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ]. % 11.04/11.21 apply (zenon_L182_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ]. % 11.04/11.21 apply (zenon_L227_); trivial. % 11.04/11.21 apply (zenon_L232_); trivial. % 11.04/11.21 (* end of lemma zenon_L233_ *) % 11.04/11.21 assert (zenon_L234_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False). % 11.04/11.21 do 0 intro. intros zenon_H9e zenon_H149 zenon_Hc4 zenon_Ha5 zenon_H1a9 zenon_H1a6 zenon_H114 zenon_H199 zenon_H78 zenon_H70 zenon_H16b zenon_H141 zenon_H1ca zenon_H1c5 zenon_H1ab zenon_Hb9 zenon_H18e zenon_H1af zenon_H1ae zenon_H109 zenon_H68. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.04/11.21 apply (zenon_L110_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.04/11.21 apply (zenon_L162_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.04/11.21 apply (zenon_L233_); trivial. % 11.04/11.21 apply (zenon_L129_); trivial. % 11.04/11.21 (* end of lemma zenon_L234_ *) % 11.04/11.21 assert (zenon_L235_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e0)) -> False). % 11.04/11.21 do 0 intro. intros zenon_H198 zenon_H1e zenon_H32 zenon_H109 zenon_H1ae zenon_H1af zenon_Hb9 zenon_H1ab zenon_H1c5 zenon_H1ca zenon_H141 zenon_H16b zenon_H70 zenon_H78 zenon_H199 zenon_H114 zenon_H1a6 zenon_H1a9 zenon_Ha5 zenon_Hc4 zenon_H149 zenon_H9e zenon_H2d zenon_H68. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ]. % 11.04/11.21 apply (zenon_L158_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ]. % 11.04/11.21 exact (zenon_H199 zenon_H6f). % 11.04/11.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ]. % 11.04/11.21 apply (zenon_L234_); trivial. % 11.04/11.21 apply (zenon_L165_); trivial. % 11.04/11.21 (* end of lemma zenon_L235_ *) % 11.04/11.21 assert (zenon_L236_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> False). % 11.04/11.21 do 0 intro. intros zenon_H166 zenon_H81 zenon_H46 zenon_H1c4 zenon_Hc5 zenon_H89 zenon_H132 zenon_H65 zenon_Hf5 zenon_H3c zenon_Hd9 zenon_He3 zenon_H84 zenon_H198 zenon_H1e zenon_H32 zenon_H109 zenon_H1ae zenon_H1af zenon_Hb9 zenon_H1ab zenon_H1c5 zenon_H1ca zenon_H141 zenon_H16b zenon_H70 zenon_H78 zenon_H199 zenon_H114 zenon_H1a6 zenon_H1a9 zenon_Ha5 zenon_Hc4 zenon_H149 zenon_H9e zenon_H2d. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.04/11.21 apply (zenon_L226_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.04/11.21 apply (zenon_L213_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.04/11.21 apply (zenon_L157_); trivial. % 11.04/11.21 apply (zenon_L235_); trivial. % 11.04/11.21 (* end of lemma zenon_L236_ *) % 11.04/11.21 assert (zenon_L237_ : ((op (e3) (e3)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.21 do 0 intro. intros zenon_H6e zenon_H186 zenon_H69. % 11.04/11.21 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ]. % 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e0) (e3)) = (op (e3) (e3)))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_H69. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H6a. % 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.21 cut (((op (e3) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6c]. % 11.04/11.21 congruence. % 11.04/11.21 cut (((op (e3) (e3)) = (e1)) = ((op (e3) (e3)) = (op (e0) (e3)))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_H6c. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H6e. % 11.04/11.21 cut (((e1) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H187]. % 11.04/11.21 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.21 congruence. % 11.04/11.21 apply zenon_H6b. apply refl_equal. % 11.04/11.21 apply zenon_H187. apply sym_equal. exact zenon_H186. % 11.04/11.21 apply zenon_H6b. apply refl_equal. % 11.04/11.21 apply zenon_H6b. apply refl_equal. % 11.04/11.21 (* end of lemma zenon_L237_ *) % 11.04/11.21 assert (zenon_L238_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.04/11.21 do 0 intro. intros zenon_H1ab zenon_Hba zenon_H199 zenon_H114 zenon_H1a6 zenon_H1a9 zenon_H101. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ]. % 11.04/11.21 apply (zenon_L189_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ]. % 11.04/11.21 exact (zenon_H199 zenon_H6f). % 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ]. % 11.04/11.21 apply (zenon_L231_); trivial. % 11.04/11.21 apply (zenon_L192_); trivial. % 11.04/11.21 (* end of lemma zenon_L238_ *) % 11.04/11.21 assert (zenon_L239_ : ((op (e3) (e0)) = (e1)) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.04/11.21 do 0 intro. intros zenon_H156 zenon_Hc4 zenon_H38. % 11.04/11.21 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 11.04/11.21 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_H38. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H39. % 11.04/11.21 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.21 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.04/11.21 congruence. % 11.04/11.21 cut (((op (e3) (e0)) = (e1)) = ((e3) = (e1))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_H3b. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H156. % 11.04/11.21 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.21 cut (((op (e3) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H14f]. % 11.04/11.21 congruence. % 11.04/11.21 exact (zenon_H14f zenon_Hc4). % 11.04/11.21 apply zenon_H2f. apply refl_equal. % 11.04/11.21 apply zenon_H3a. apply refl_equal. % 11.04/11.21 apply zenon_H3a. apply refl_equal. % 11.04/11.21 (* end of lemma zenon_L239_ *) % 11.04/11.21 assert (zenon_L240_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e0)) -> False). % 11.04/11.21 do 0 intro. intros zenon_H15e zenon_H38 zenon_H9e zenon_H149 zenon_Hc4 zenon_Ha5 zenon_H1a9 zenon_H1a6 zenon_H114 zenon_H199 zenon_H78 zenon_H70 zenon_H16b zenon_H1ca zenon_H1c5 zenon_H1ab zenon_Hb9 zenon_H1af zenon_H1ae zenon_H109 zenon_H32 zenon_H1e zenon_H198 zenon_Hc3 zenon_H19c zenon_H2d zenon_H68. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.21 apply (zenon_L239_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.21 apply (zenon_L235_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.21 apply (zenon_L167_); trivial. % 11.04/11.21 apply (zenon_L165_); trivial. % 11.04/11.21 (* end of lemma zenon_L240_ *) % 11.04/11.21 assert (zenon_L241_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> False). % 11.04/11.21 do 0 intro. intros zenon_Hd3 zenon_H1cc zenon_Hcc zenon_H155 zenon_Hd9 zenon_H3c zenon_Hf5 zenon_H65 zenon_H132 zenon_H89 zenon_Hc5 zenon_H1c4 zenon_H46 zenon_H81 zenon_H166 zenon_H69 zenon_H1cd zenon_He3 zenon_H84 zenon_H15e zenon_H38 zenon_H9e zenon_H149 zenon_Hc4 zenon_Ha5 zenon_H1a9 zenon_H1a6 zenon_H114 zenon_H199 zenon_H78 zenon_H70 zenon_H16b zenon_H1ca zenon_H1c5 zenon_H1ab zenon_Hb9 zenon_H1af zenon_H1ae zenon_H109 zenon_H32 zenon_H1e zenon_H198 zenon_Hc3 zenon_H19c zenon_H2d. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.21 apply (zenon_L43_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.21 exact (zenon_H1cc zenon_Hca). % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.21 apply (zenon_L45_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.04/11.21 apply (zenon_L116_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H31 | zenon_intro zenon_H1ce ]. % 11.04/11.21 exact (zenon_H1af zenon_H31). % 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1cf ]. % 11.04/11.21 apply (zenon_L225_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hba | zenon_intro zenon_H68 ]. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.21 apply (zenon_L120_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.21 apply (zenon_L236_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.21 apply (zenon_L167_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ]. % 11.04/11.21 exact (zenon_H1af zenon_H31). % 11.04/11.21 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ]. % 11.04/11.21 apply (zenon_L237_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ]. % 11.04/11.21 apply (zenon_L215_); trivial. % 11.04/11.21 apply (zenon_L238_); trivial. % 11.04/11.21 apply (zenon_L240_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.04/11.21 apply (zenon_L157_); trivial. % 11.04/11.21 apply (zenon_L240_); trivial. % 11.04/11.21 (* end of lemma zenon_L241_ *) % 11.04/11.21 assert (zenon_L242_ : (((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)) = (e3)) -> (~((e0) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.04/11.21 do 0 intro. intros zenon_Hbc zenon_H125 zenon_H150 zenon_H24 zenon_Ha1 zenon_H65 zenon_H81 zenon_H1ab zenon_H199 zenon_H114 zenon_H1a6 zenon_H1a9 zenon_H101. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.04/11.21 apply (zenon_L113_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.04/11.21 apply (zenon_L35_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.04/11.21 apply (zenon_L53_); trivial. % 11.04/11.21 apply (zenon_L238_); trivial. % 11.04/11.21 (* end of lemma zenon_L242_ *) % 11.04/11.21 assert (zenon_L243_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> (~((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)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.04/11.21 do 0 intro. intros zenon_H180 zenon_Ha5 zenon_H1a9 zenon_H1a6 zenon_H199 zenon_H1ab zenon_H81 zenon_H65 zenon_Ha1 zenon_H24 zenon_H150 zenon_H125 zenon_Hbc zenon_Hdd zenon_Hd9 zenon_H3c zenon_H1c5 zenon_Hf5 zenon_H132 zenon_Hc5 zenon_H1c4 zenon_H1e zenon_H14b zenon_H109 zenon_He3 zenon_Hb9 zenon_H114. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.04/11.21 apply (zenon_L151_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.21 exact (zenon_H3c zenon_H37). % 11.04/11.21 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.21 apply (zenon_L226_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.21 apply (zenon_L51_); trivial. % 11.04/11.21 apply (zenon_L242_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.04/11.21 apply (zenon_L206_); trivial. % 11.04/11.21 apply (zenon_L227_); trivial. % 11.04/11.21 (* end of lemma zenon_L243_ *) % 11.04/11.21 assert (zenon_L244_ : ((op (e3) (e1)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.04/11.21 do 0 intro. intros zenon_H163 zenon_H133 zenon_H81. % 11.04/11.21 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 11.04/11.21 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_H81. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H39. % 11.04/11.21 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.21 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 11.04/11.21 congruence. % 11.04/11.21 cut (((op (e3) (e1)) = (e0)) = ((e3) = (e0))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_H82. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H163. % 11.04/11.21 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.21 cut (((op (e3) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H145]. % 11.04/11.21 congruence. % 11.04/11.21 exact (zenon_H145 zenon_H133). % 11.04/11.21 apply zenon_H2b. apply refl_equal. % 11.04/11.21 apply zenon_H3a. apply refl_equal. % 11.04/11.21 apply zenon_H3a. apply refl_equal. % 11.04/11.21 (* end of lemma zenon_L244_ *) % 11.04/11.21 assert (zenon_L245_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.04/11.21 do 0 intro. intros zenon_H1ab zenon_H70 zenon_H68 zenon_H199 zenon_H114 zenon_H1a6 zenon_H1a9 zenon_H101. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ]. % 11.04/11.21 apply (zenon_L228_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ]. % 11.04/11.21 exact (zenon_H199 zenon_H6f). % 11.04/11.21 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ]. % 11.04/11.21 apply (zenon_L231_); trivial. % 11.04/11.21 apply (zenon_L192_); trivial. % 11.04/11.21 (* end of lemma zenon_L245_ *) % 11.04/11.21 assert (zenon_L246_ : ((op (e2) (e2)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False). % 11.04/11.21 do 0 intro. intros zenon_H65 zenon_H4c zenon_Hec. % 11.04/11.21 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hce ]. % 11.04/11.21 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e2) (e0)) = (op (e2) (e2)))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_Hec. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_Hcd. % 11.04/11.21 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce]. % 11.04/11.21 cut (((op (e2) (e2)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1d0]. % 11.04/11.21 congruence. % 11.04/11.21 cut (((op (e2) (e2)) = (e3)) = ((op (e2) (e2)) = (op (e2) (e0)))). % 11.04/11.21 intro zenon_D_pnotp. % 11.04/11.21 apply zenon_H1d0. % 11.04/11.21 rewrite <- zenon_D_pnotp. % 11.04/11.21 exact zenon_H65. % 11.04/11.21 cut (((e3) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1d1]. % 11.04/11.21 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hce]. % 11.04/11.21 congruence. % 11.04/11.21 apply zenon_Hce. apply refl_equal. % 11.04/11.21 apply zenon_H1d1. apply sym_equal. exact zenon_H4c. % 11.04/11.21 apply zenon_Hce. apply refl_equal. % 11.04/11.21 apply zenon_Hce. apply refl_equal. % 11.04/11.21 (* end of lemma zenon_L246_ *) % 11.04/11.21 assert (zenon_L247_ : (((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) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.04/11.21 do 0 intro. intros zenon_Hd3 zenon_Hc5 zenon_Hc4 zenon_H1cc zenon_Hcc zenon_H65 zenon_H1a9 zenon_H101. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.21 apply (zenon_L43_); trivial. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.21 exact (zenon_H1cc zenon_Hca). % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.21 apply (zenon_L45_); trivial. % 11.04/11.21 apply (zenon_L192_); trivial. % 11.04/11.21 (* end of lemma zenon_L247_ *) % 11.04/11.21 assert (zenon_L248_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (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 (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.04/11.21 do 0 intro. intros zenon_H1a6 zenon_H114 zenon_H199 zenon_H70 zenon_H1ab zenon_H84 zenon_He3 zenon_H81 zenon_H180 zenon_Ha5 zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_Hdd zenon_Hd9 zenon_H3c zenon_H1c5 zenon_Hf5 zenon_H132 zenon_H1c4 zenon_H1e zenon_H14b zenon_H109 zenon_Hb9 zenon_H166 zenon_H57 zenon_H13b zenon_Hec zenon_Hd3 zenon_Hc5 zenon_H1cc zenon_Hcc zenon_H65 zenon_H1a9 zenon_H101. % 11.04/11.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.04/11.22 exact (zenon_H3c zenon_H37). % 11.04/11.22 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.22 apply (zenon_L223_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.22 exact (zenon_H1cc zenon_Hca). % 11.04/11.22 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.22 apply (zenon_L19_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.04/11.22 apply (zenon_L243_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.04/11.22 apply (zenon_L244_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.04/11.22 apply (zenon_L157_); trivial. % 11.04/11.22 apply (zenon_L245_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.04/11.22 apply (zenon_L246_); trivial. % 11.04/11.22 apply (zenon_L247_); trivial. % 11.04/11.22 (* end of lemma zenon_L248_ *) % 11.04/11.22 assert (zenon_L249_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (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 (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.04/11.22 do 0 intro. intros zenon_H155 zenon_H46 zenon_H69 zenon_H1cd zenon_H15e zenon_H38 zenon_H9e zenon_H149 zenon_H78 zenon_H16b zenon_H1ca zenon_H1af zenon_H1ae zenon_H32 zenon_H198 zenon_H19c zenon_H2d zenon_Hd6 zenon_H1a6 zenon_H114 zenon_H199 zenon_H70 zenon_H1ab zenon_H84 zenon_He3 zenon_H81 zenon_H180 zenon_Ha5 zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_Hdd zenon_Hd9 zenon_H3c zenon_H1c5 zenon_Hf5 zenon_H132 zenon_H1c4 zenon_H1e zenon_H14b zenon_H109 zenon_Hb9 zenon_H166 zenon_H57 zenon_H13b zenon_Hec zenon_Hd3 zenon_Hc5 zenon_H1cc zenon_Hcc zenon_H65 zenon_H1a9. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.22 exact (zenon_H3c zenon_H37). % 11.04/11.22 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.04/11.22 exact (zenon_H3c zenon_H37). % 11.04/11.22 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.04/11.22 apply (zenon_L223_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.04/11.22 apply (zenon_L16_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.22 apply (zenon_L224_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.22 apply (zenon_L10_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.22 apply (zenon_L241_); trivial. % 11.04/11.22 exact (zenon_H199 zenon_H6f). % 11.04/11.22 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.22 apply (zenon_L183_); trivial. % 11.04/11.22 apply (zenon_L248_); trivial. % 11.04/11.22 (* end of lemma zenon_L249_ *) % 11.04/11.22 assert (zenon_L250_ : (((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)) = (e3)) -> (~((e0) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.04/11.22 do 0 intro. intros zenon_Hbc zenon_H125 zenon_H150 zenon_H24 zenon_Ha1 zenon_H65 zenon_H81 zenon_H1ab zenon_H1a6 zenon_H199 zenon_H10e zenon_H10d zenon_H1a9 zenon_H101. % 11.04/11.22 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.04/11.22 apply (zenon_L113_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.04/11.22 apply (zenon_L35_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.04/11.22 apply (zenon_L53_); trivial. % 11.04/11.22 apply (zenon_L204_); trivial. % 11.04/11.22 (* end of lemma zenon_L250_ *) % 11.04/11.22 assert (zenon_L251_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e3)) -> (~((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) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H166 zenon_H10d zenon_H10e zenon_H65 zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H81 zenon_H133 zenon_He3 zenon_H84 zenon_H1ab zenon_H70 zenon_H199 zenon_H114 zenon_H1a6 zenon_H1a9 zenon_H101. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.04/11.22 apply (zenon_L250_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.04/11.22 apply (zenon_L244_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.04/11.22 apply (zenon_L157_); trivial. % 11.04/11.22 apply (zenon_L245_); trivial. % 11.04/11.22 (* end of lemma zenon_L251_ *) % 11.04/11.22 assert (zenon_L252_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H158 zenon_H8d zenon_H9c. % 11.04/11.22 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (e0)) = (op (e3) (e2)))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H158. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H8d. % 11.04/11.22 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 11.04/11.22 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7]. % 11.04/11.22 congruence. % 11.04/11.22 apply zenon_Hc7. apply refl_equal. % 11.04/11.22 apply zenon_H9d. apply sym_equal. exact zenon_H9c. % 11.04/11.22 (* end of lemma zenon_L252_ *) % 11.04/11.22 assert (zenon_L253_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H22 zenon_H46 zenon_H11c. % 11.04/11.22 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e1) (e1)))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H22. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H46. % 11.04/11.22 cut (((e2) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1d2]. % 11.04/11.22 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 11.04/11.22 congruence. % 11.04/11.22 apply zenon_H26. apply refl_equal. % 11.04/11.22 apply zenon_H1d2. apply sym_equal. exact zenon_H11c. % 11.04/11.22 (* end of lemma zenon_L253_ *) % 11.04/11.22 assert (zenon_L254_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e3)) -> (~((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) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H13b zenon_H1c5 zenon_Hf5 zenon_H132 zenon_H3d zenon_Hc5 zenon_H1c4 zenon_H1cc zenon_H143 zenon_H166 zenon_H10d zenon_H10e zenon_H65 zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H81 zenon_He3 zenon_H84 zenon_H1ab zenon_H70 zenon_H199 zenon_H114 zenon_H1a6 zenon_H1a9 zenon_H101. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.22 apply (zenon_L223_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.22 exact (zenon_H1cc zenon_Hca). % 11.04/11.22 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.22 apply (zenon_L99_); trivial. % 11.04/11.22 apply (zenon_L251_); trivial. % 11.04/11.22 (* end of lemma zenon_L254_ *) % 11.04/11.22 assert (zenon_L255_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (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 (e2) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H117 zenon_H8d zenon_H158 zenon_H149 zenon_H109 zenon_H1b9 zenon_H46 zenon_H22 zenon_H101 zenon_H1a9 zenon_H199 zenon_H70 zenon_H1ab zenon_H84 zenon_He3 zenon_H81 zenon_Hbc zenon_H125 zenon_H24 zenon_Ha1 zenon_H65 zenon_H10e zenon_H166 zenon_H143 zenon_H1cc zenon_H1c4 zenon_Hc5 zenon_H3d zenon_H132 zenon_Hf5 zenon_H1c5 zenon_H13b zenon_H1a6 zenon_H114. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.22 apply (zenon_L223_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.22 exact (zenon_H1cc zenon_Hca). % 11.04/11.22 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.22 apply (zenon_L19_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.04/11.22 apply (zenon_L206_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.04/11.22 apply (zenon_L251_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.04/11.22 apply (zenon_L137_); trivial. % 11.04/11.22 apply (zenon_L252_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.22 apply (zenon_L253_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.22 apply (zenon_L254_); trivial. % 11.04/11.22 apply (zenon_L231_); trivial. % 11.04/11.22 (* end of lemma zenon_L255_ *) % 11.04/11.22 assert (zenon_L256_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((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) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.04/11.22 do 0 intro. intros zenon_H14b zenon_H1e zenon_Hd9 zenon_H3c zenon_H114 zenon_H1a6 zenon_H13b zenon_H1c5 zenon_Hf5 zenon_H132 zenon_Hc5 zenon_H1c4 zenon_H1cc zenon_H143 zenon_H166 zenon_H10e zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H81 zenon_He3 zenon_H84 zenon_H1ab zenon_H70 zenon_H199 zenon_H1a9 zenon_H22 zenon_H46 zenon_H1b9 zenon_H109 zenon_H158 zenon_H117 zenon_Hec zenon_H65 zenon_H8d zenon_H149. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.22 exact (zenon_H3c zenon_H37). % 11.04/11.22 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.22 apply (zenon_L30_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.22 apply (zenon_L183_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.04/11.22 exact (zenon_H3c zenon_H37). % 11.04/11.22 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.04/11.22 apply (zenon_L255_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.04/11.22 apply (zenon_L246_); trivial. % 11.04/11.22 apply (zenon_L110_); trivial. % 11.04/11.22 (* end of lemma zenon_L256_ *) % 11.04/11.22 assert (zenon_L257_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> False). % 11.04/11.22 do 0 intro. intros zenon_Ha1 zenon_H3f zenon_H12e. % 11.04/11.22 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e2) (e1)))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_Ha1. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H3f. % 11.04/11.22 cut (((e1) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 11.04/11.22 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 11.04/11.22 congruence. % 11.04/11.22 apply zenon_Ha4. apply refl_equal. % 11.04/11.22 apply zenon_H12f. apply sym_equal. exact zenon_H12e. % 11.04/11.22 (* end of lemma zenon_L257_ *) % 11.04/11.22 assert (zenon_L258_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H69 zenon_H101 zenon_H73. % 11.04/11.22 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e3) (e3)))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H69. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H101. % 11.04/11.22 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1d3]. % 11.04/11.22 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34]. % 11.04/11.22 congruence. % 11.04/11.22 apply zenon_H34. apply refl_equal. % 11.04/11.22 apply zenon_H1d3. apply sym_equal. exact zenon_H73. % 11.04/11.22 (* end of lemma zenon_L258_ *) % 11.04/11.22 assert (zenon_L259_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e2) (e3)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H1ae zenon_H1af zenon_H18e zenon_H114 zenon_Hb9 zenon_H69 zenon_H73. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ]. % 11.04/11.22 exact (zenon_H1af zenon_H31). % 11.04/11.22 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ]. % 11.04/11.22 apply (zenon_L182_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ]. % 11.04/11.22 apply (zenon_L227_); trivial. % 11.04/11.22 apply (zenon_L258_); trivial. % 11.04/11.22 (* end of lemma zenon_L259_ *) % 11.04/11.22 assert (zenon_L260_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H1d4 zenon_H1e zenon_H122 zenon_H3f zenon_Ha1 zenon_H65 zenon_H38 zenon_H1ae zenon_H1af zenon_H114 zenon_Hb9 zenon_H69 zenon_H73. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ]. % 11.04/11.22 apply (zenon_L83_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ]. % 11.04/11.22 apply (zenon_L257_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ]. % 11.04/11.22 apply (zenon_L20_); trivial. % 11.04/11.22 apply (zenon_L259_); trivial. % 11.04/11.22 (* end of lemma zenon_L260_ *) % 11.04/11.22 assert (zenon_L261_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False). % 11.04/11.22 do 0 intro. intros zenon_H198 zenon_H1e zenon_H32 zenon_H199 zenon_H73 zenon_H69 zenon_Hb9 zenon_H114 zenon_H1af zenon_H1ae zenon_H141 zenon_H16b. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ]. % 11.04/11.22 apply (zenon_L158_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ]. % 11.04/11.22 exact (zenon_H199 zenon_H6f). % 11.04/11.22 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ]. % 11.04/11.22 apply (zenon_L259_); trivial. % 11.04/11.22 apply (zenon_L177_); trivial. % 11.04/11.22 (* end of lemma zenon_L261_ *) % 11.04/11.22 assert (zenon_L262_ : ((op (e3) (e3)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.04/11.22 do 0 intro. intros zenon_H6e zenon_H73 zenon_H38. % 11.04/11.22 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 11.04/11.22 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H38. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H39. % 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.22 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.04/11.22 congruence. % 11.04/11.22 cut (((op (e3) (e3)) = (e1)) = ((e3) = (e1))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H3b. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H6e. % 11.04/11.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.22 cut (((op (e3) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1c5]. % 11.04/11.22 congruence. % 11.04/11.22 exact (zenon_H1c5 zenon_H73). % 11.04/11.22 apply zenon_H2f. apply refl_equal. % 11.04/11.22 apply zenon_H3a. apply refl_equal. % 11.04/11.22 apply zenon_H3a. apply refl_equal. % 11.04/11.22 (* end of lemma zenon_L262_ *) % 11.04/11.22 assert (zenon_L263_ : (((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)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.04/11.22 do 0 intro. intros zenon_H15e zenon_H2d zenon_H150 zenon_H16b zenon_H1ae zenon_H1af zenon_H114 zenon_Hb9 zenon_H69 zenon_H199 zenon_H32 zenon_H1e zenon_H198 zenon_Hc3 zenon_H19c zenon_H73 zenon_H38. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.22 apply (zenon_L169_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.22 apply (zenon_L261_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.22 apply (zenon_L167_); trivial. % 11.04/11.22 apply (zenon_L262_); trivial. % 11.04/11.22 (* end of lemma zenon_L263_ *) % 11.04/11.22 assert (zenon_L264_ : (((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)))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.04/11.22 do 0 intro. intros zenon_H15e zenon_H1e zenon_H155 zenon_H2d zenon_H163 zenon_Hc3 zenon_H19c zenon_H73 zenon_H38. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.22 apply (zenon_L120_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.22 apply (zenon_L213_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.22 apply (zenon_L167_); trivial. % 11.04/11.22 apply (zenon_L262_); trivial. % 11.04/11.22 (* end of lemma zenon_L264_ *) % 11.04/11.22 assert (zenon_L265_ : ((op (e3) (e3)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.04/11.22 do 0 intro. intros zenon_H68 zenon_H73 zenon_H81. % 11.04/11.22 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 11.04/11.22 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H81. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H39. % 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.22 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 11.04/11.22 congruence. % 11.04/11.22 cut (((op (e3) (e3)) = (e0)) = ((e3) = (e0))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H82. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H68. % 11.04/11.22 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.22 cut (((op (e3) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1c5]. % 11.04/11.22 congruence. % 11.04/11.22 exact (zenon_H1c5 zenon_H73). % 11.04/11.22 apply zenon_H2b. apply refl_equal. % 11.04/11.22 apply zenon_H3a. apply refl_equal. % 11.04/11.22 apply zenon_H3a. apply refl_equal. % 11.04/11.22 (* end of lemma zenon_L265_ *) % 11.04/11.22 assert (zenon_L266_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (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 (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.04/11.22 do 0 intro. intros zenon_H166 zenon_H198 zenon_H32 zenon_H199 zenon_H69 zenon_Hb9 zenon_H114 zenon_H1af zenon_H1ae zenon_H16b zenon_H38 zenon_H19c zenon_Hc3 zenon_H2d zenon_H155 zenon_H1e zenon_H15e zenon_He3 zenon_H84 zenon_H73 zenon_H81. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.04/11.22 apply (zenon_L263_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.04/11.22 apply (zenon_L264_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.04/11.22 apply (zenon_L157_); trivial. % 11.04/11.22 apply (zenon_L265_); trivial. % 11.04/11.22 (* end of lemma zenon_L266_ *) % 11.04/11.22 assert (zenon_L267_ : ((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H1d7 zenon_H24 zenon_H81 zenon_H6f. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ]. % 11.04/11.22 exact (zenon_H199 zenon_H6f). % 11.04/11.22 apply (zenon_L44_); trivial. % 11.04/11.22 (* end of lemma zenon_L267_ *) % 11.04/11.22 assert (zenon_L268_ : ((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H1d8 zenon_H1e zenon_H38 zenon_H31. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ]. % 11.04/11.22 exact (zenon_H1af zenon_H31). % 11.04/11.22 apply (zenon_L8_); trivial. % 11.04/11.22 (* end of lemma zenon_L268_ *) % 11.04/11.22 assert (zenon_L269_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.04/11.22 do 0 intro. intros zenon_H23 zenon_H11f zenon_H2d. % 11.04/11.22 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ]. % 11.04/11.22 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H2d. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H2e. % 11.04/11.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.22 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 11.04/11.22 congruence. % 11.04/11.22 cut (((op (e0) (e1)) = (e0)) = ((e1) = (e0))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H30. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H23. % 11.04/11.22 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.22 cut (((op (e0) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1d9]. % 11.04/11.22 congruence. % 11.04/11.22 exact (zenon_H1d9 zenon_H11f). % 11.04/11.22 apply zenon_H2b. apply refl_equal. % 11.04/11.22 apply zenon_H2f. apply refl_equal. % 11.04/11.22 apply zenon_H2f. apply refl_equal. % 11.04/11.22 (* end of lemma zenon_L269_ *) % 11.04/11.22 assert (zenon_L270_ : ((op (e2) (e0)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.04/11.22 do 0 intro. intros zenon_H123 zenon_H103 zenon_Ha5. % 11.04/11.22 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ]. % 11.04/11.22 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_Ha5. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_Ha6. % 11.04/11.22 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.22 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 11.04/11.22 congruence. % 11.04/11.22 cut (((op (e2) (e0)) = (e1)) = ((e2) = (e1))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_Ha7. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H123. % 11.04/11.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.22 cut (((op (e2) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 11.04/11.22 congruence. % 11.04/11.22 exact (zenon_H14e zenon_H103). % 11.04/11.22 apply zenon_H2f. apply refl_equal. % 11.04/11.22 apply zenon_H45. apply refl_equal. % 11.04/11.22 apply zenon_H45. apply refl_equal. % 11.04/11.22 (* end of lemma zenon_L270_ *) % 11.04/11.22 assert (zenon_L271_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.04/11.22 do 0 intro. intros zenon_H1da zenon_H175 zenon_He6 zenon_Ha5 zenon_H103 zenon_H150 zenon_H2d. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.22 apply (zenon_L151_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.22 exact (zenon_He6 zenon_H1f). % 11.04/11.22 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.22 apply (zenon_L270_); trivial. % 11.04/11.22 apply (zenon_L169_); trivial. % 11.04/11.22 (* end of lemma zenon_L271_ *) % 11.04/11.22 assert (zenon_L272_ : (~((e1) = (e2))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e1)) = (e1)) -> False). % 11.04/11.22 do 0 intro. intros zenon_Ha5 zenon_H11c zenon_H3f. % 11.04/11.22 cut (((op (e1) (e1)) = (e2)) = ((e1) = (e2))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_Ha5. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H11c. % 11.04/11.22 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.22 cut (((op (e1) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 11.04/11.22 congruence. % 11.04/11.22 exact (zenon_H40 zenon_H3f). % 11.04/11.22 apply zenon_H45. apply refl_equal. % 11.04/11.22 (* end of lemma zenon_L272_ *) % 11.04/11.22 assert (zenon_L273_ : (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> False). % 11.04/11.22 do 0 intro. intros zenon_He9 zenon_H11c zenon_H10d. % 11.04/11.22 cut (((op (e1) (e1)) = (e2)) = ((op (e1) (e1)) = (op (e1) (e2)))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_He9. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H11c. % 11.04/11.22 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H112]. % 11.04/11.22 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 11.04/11.22 congruence. % 11.04/11.22 apply zenon_Ha4. apply refl_equal. % 11.04/11.22 apply zenon_H112. apply sym_equal. exact zenon_H10d. % 11.04/11.22 (* end of lemma zenon_L273_ *) % 11.04/11.22 assert (zenon_L274_ : (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H12a zenon_H103 zenon_H130. % 11.04/11.22 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e2) (e1)))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H12a. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H103. % 11.04/11.22 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H131]. % 11.04/11.22 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed]. % 11.04/11.22 congruence. % 11.04/11.22 apply zenon_Hed. apply refl_equal. % 11.04/11.22 apply zenon_H131. apply sym_equal. exact zenon_H130. % 11.04/11.22 (* end of lemma zenon_L274_ *) % 11.04/11.22 assert (zenon_L275_ : ((op (e3) (e1)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.04/11.22 do 0 intro. intros zenon_H163 zenon_H95 zenon_H109. % 11.04/11.22 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ]. % 11.04/11.22 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H109. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_Ha6. % 11.04/11.22 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.22 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H10a]. % 11.04/11.22 congruence. % 11.04/11.22 cut (((op (e3) (e1)) = (e0)) = ((e2) = (e0))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H10a. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H163. % 11.04/11.22 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.22 cut (((op (e3) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H197]. % 11.04/11.22 congruence. % 11.04/11.22 exact (zenon_H197 zenon_H95). % 11.04/11.22 apply zenon_H2b. apply refl_equal. % 11.04/11.22 apply zenon_H45. apply refl_equal. % 11.04/11.22 apply zenon_H45. apply refl_equal. % 11.04/11.22 (* end of lemma zenon_L275_ *) % 11.04/11.22 assert (zenon_L276_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.04/11.22 do 0 intro. intros zenon_H13a zenon_H175 zenon_H88 zenon_H10d zenon_He9 zenon_H103 zenon_H12a zenon_H163 zenon_H109. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.22 apply (zenon_L156_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.22 apply (zenon_L273_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.22 apply (zenon_L274_); trivial. % 11.04/11.22 apply (zenon_L275_); trivial. % 11.04/11.22 (* end of lemma zenon_L276_ *) % 11.04/11.22 assert (zenon_L277_ : (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H121 zenon_H11c zenon_H10c. % 11.04/11.22 cut (((op (e1) (e1)) = (e2)) = ((op (e1) (e1)) = (op (e1) (e3)))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H121. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H11c. % 11.04/11.22 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a8]. % 11.04/11.22 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 11.04/11.22 congruence. % 11.04/11.22 apply zenon_Ha4. apply refl_equal. % 11.04/11.22 apply zenon_H1a8. apply sym_equal. exact zenon_H10c. % 11.04/11.22 (* end of lemma zenon_L277_ *) % 11.04/11.22 assert (zenon_L278_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H1b9 zenon_Ha5 zenon_H42 zenon_H10e zenon_H10c zenon_H109 zenon_Ha9 zenon_H140 zenon_H95. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.04/11.22 apply (zenon_L36_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.04/11.22 apply (zenon_L76_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.04/11.22 apply (zenon_L139_); trivial. % 11.04/11.22 apply (zenon_L174_); trivial. % 11.04/11.22 (* end of lemma zenon_L278_ *) % 11.04/11.22 assert (zenon_L279_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.04/11.22 do 0 intro. intros zenon_H13a zenon_H175 zenon_H88 zenon_H121 zenon_H103 zenon_H12a zenon_H1b9 zenon_Ha5 zenon_H42 zenon_H10e zenon_H10c zenon_H109 zenon_Ha9 zenon_H140. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.22 apply (zenon_L156_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.22 apply (zenon_L277_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.22 apply (zenon_L274_); trivial. % 11.04/11.22 apply (zenon_L278_); trivial. % 11.04/11.22 (* end of lemma zenon_L279_ *) % 11.04/11.22 assert (zenon_L280_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H1dd zenon_H42 zenon_Hc3. % 11.04/11.22 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e1) (e2)))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H1dd. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H42. % 11.04/11.22 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1b8]. % 11.04/11.22 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 11.04/11.22 congruence. % 11.04/11.22 apply zenon_H87. apply refl_equal. % 11.04/11.22 apply zenon_H1b8. apply sym_equal. exact zenon_Hc3. % 11.04/11.22 (* end of lemma zenon_L280_ *) % 11.04/11.22 assert (zenon_L281_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H1d zenon_H175 zenon_H57. % 11.04/11.22 cut (((op (e0) (e0)) = (e2)) = ((op (e0) (e0)) = (op (e1) (e0)))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H1d. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H175. % 11.04/11.22 cut (((e2) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H107]. % 11.04/11.22 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 11.04/11.22 congruence. % 11.04/11.22 apply zenon_H21. apply refl_equal. % 11.04/11.22 apply zenon_H107. apply sym_equal. exact zenon_H57. % 11.04/11.22 (* end of lemma zenon_L281_ *) % 11.04/11.22 assert (zenon_L282_ : (~((op (e0) (op (e0) (e0))) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H1de zenon_H175. % 11.04/11.22 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H171]. % 11.04/11.22 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.22 congruence. % 11.04/11.22 apply zenon_H2b. apply refl_equal. % 11.04/11.22 exact (zenon_H171 zenon_H175). % 11.04/11.22 (* end of lemma zenon_L282_ *) % 11.04/11.22 assert (zenon_L283_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (op (e0) (op (e0) (e0))))) -> False). % 11.04/11.22 do 0 intro. intros zenon_H42 zenon_H175 zenon_H1df. % 11.04/11.22 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e1) = (op (e0) (op (e0) (e0))))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H1df. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H48. % 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1e0]. % 11.04/11.22 congruence. % 11.04/11.22 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (op (e0) (e0))) = (e1))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H1e0. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H42. % 11.04/11.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.22 cut (((op (e0) (e2)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1e1]. % 11.04/11.22 congruence. % 11.04/11.22 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e2)) = (op (e0) (op (e0) (e0))))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H1e1. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H48. % 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1de]. % 11.04/11.22 congruence. % 11.04/11.22 apply (zenon_L282_); trivial. % 11.04/11.22 apply zenon_H49. apply refl_equal. % 11.04/11.22 apply zenon_H49. apply refl_equal. % 11.04/11.22 apply zenon_H2f. apply refl_equal. % 11.04/11.22 apply zenon_H49. apply refl_equal. % 11.04/11.22 apply zenon_H49. apply refl_equal. % 11.04/11.22 (* end of lemma zenon_L283_ *) % 11.04/11.22 assert (zenon_L284_ : ((op (e1) (e0)) = (e3)) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H3d zenon_H42 zenon_H175. % 11.04/11.22 apply (zenon_notand_s _ _ ax9); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e2 ]. % 11.04/11.22 apply zenon_H1e3. apply sym_equal. exact zenon_H175. % 11.04/11.22 apply (zenon_notand_s _ _ zenon_H1e2); [ zenon_intro zenon_H4f | zenon_intro zenon_H1df ]. % 11.04/11.22 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H4f. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H50. % 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 11.04/11.22 congruence. % 11.04/11.22 cut (((op (e1) (e0)) = (e3)) = ((op (op (e0) (op (e0) (e0))) (e0)) = (e3))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H52. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H3d. % 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.22 cut (((op (e1) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1e4]. % 11.04/11.22 congruence. % 11.04/11.22 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((op (e1) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H1e4. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H50. % 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1e5]. % 11.04/11.22 congruence. % 11.04/11.22 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1e0]. % 11.04/11.22 congruence. % 11.04/11.22 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (op (e0) (e0))) = (e1))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H1e0. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H42. % 11.04/11.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.22 cut (((op (e0) (e2)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1e1]. % 11.04/11.22 congruence. % 11.04/11.22 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e2)) = (op (e0) (op (e0) (e0))))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H1e1. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H48. % 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1de]. % 11.04/11.22 congruence. % 11.04/11.22 apply (zenon_L282_); trivial. % 11.04/11.22 apply zenon_H49. apply refl_equal. % 11.04/11.22 apply zenon_H49. apply refl_equal. % 11.04/11.22 apply zenon_H2f. apply refl_equal. % 11.04/11.22 apply zenon_H2b. apply refl_equal. % 11.04/11.22 apply zenon_H51. apply refl_equal. % 11.04/11.22 apply zenon_H51. apply refl_equal. % 11.04/11.22 apply zenon_H3a. apply refl_equal. % 11.04/11.22 apply zenon_H51. apply refl_equal. % 11.04/11.22 apply zenon_H51. apply refl_equal. % 11.04/11.22 apply (zenon_L283_); trivial. % 11.04/11.22 (* end of lemma zenon_L284_ *) % 11.04/11.22 assert (zenon_L285_ : (~((e2) = (e3))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H149 zenon_Hca zenon_H11c. % 11.04/11.22 cut (((op (e1) (e1)) = (e3)) = ((e2) = (e3))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H149. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_Hca. % 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.22 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H118]. % 11.04/11.22 congruence. % 11.04/11.22 exact (zenon_H118 zenon_H11c). % 11.04/11.22 apply zenon_H3a. apply refl_equal. % 11.04/11.22 (* end of lemma zenon_L285_ *) % 11.04/11.22 assert (zenon_L286_ : (~((op (e1) (op (e1) (e1))) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H1e6 zenon_H11c. % 11.04/11.22 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H118]. % 11.04/11.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.22 congruence. % 11.04/11.22 apply zenon_H2f. apply refl_equal. % 11.04/11.22 exact (zenon_H118 zenon_H11c). % 11.04/11.22 (* end of lemma zenon_L286_ *) % 11.04/11.22 assert (zenon_L287_ : ((op (e1) (e2)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((e3) = (op (e1) (op (e1) (e1))))) -> False). % 11.04/11.22 do 0 intro. intros zenon_Hcb zenon_H11c zenon_H93. % 11.04/11.22 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ]. % 11.04/11.22 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e3) = (op (e1) (op (e1) (e1))))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H93. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H59. % 11.04/11.22 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 11.04/11.22 cut (((op (e1) (op (e1) (e1))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H94]. % 11.04/11.22 congruence. % 11.04/11.22 cut (((op (e1) (e2)) = (e3)) = ((op (e1) (op (e1) (e1))) = (e3))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H94. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_Hcb. % 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.22 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1e7]. % 11.04/11.22 congruence. % 11.04/11.22 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ]. % 11.04/11.22 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e1))))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H1e7. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H59. % 11.04/11.22 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 11.04/11.22 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1e6]. % 11.04/11.22 congruence. % 11.04/11.22 apply (zenon_L286_); trivial. % 11.04/11.22 apply zenon_H5a. apply refl_equal. % 11.04/11.22 apply zenon_H5a. apply refl_equal. % 11.04/11.22 apply zenon_H3a. apply refl_equal. % 11.04/11.22 apply zenon_H5a. apply refl_equal. % 11.04/11.22 apply zenon_H5a. apply refl_equal. % 11.04/11.22 (* end of lemma zenon_L287_ *) % 11.04/11.22 assert (zenon_L288_ : ((op (e3) (e1)) = (e0)) -> ((op (e1) (e2)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H163 zenon_Hcb zenon_H11c. % 11.04/11.22 apply (zenon_notand_s _ _ ax14); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e8 ]. % 11.04/11.22 apply zenon_H1d2. apply sym_equal. exact zenon_H11c. % 11.04/11.22 apply (zenon_notand_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H93 ]. % 11.04/11.22 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.04/11.22 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H1e9. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H60. % 11.04/11.22 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.04/11.22 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1ea]. % 11.04/11.22 congruence. % 11.04/11.22 cut (((op (e3) (e1)) = (e0)) = ((op (op (e1) (op (e1) (e1))) (e1)) = (e0))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H1ea. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H163. % 11.04/11.22 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.22 cut (((op (e3) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 11.04/11.22 congruence. % 11.04/11.22 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.04/11.22 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((op (e3) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H99. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H60. % 11.04/11.22 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.04/11.22 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 11.04/11.22 congruence. % 11.04/11.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.22 cut (((op (e1) (op (e1) (e1))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H94]. % 11.04/11.22 congruence. % 11.04/11.22 cut (((op (e1) (e2)) = (e3)) = ((op (e1) (op (e1) (e1))) = (e3))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H94. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_Hcb. % 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.22 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1e7]. % 11.04/11.22 congruence. % 11.04/11.22 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ]. % 11.04/11.22 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e1))))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H1e7. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H59. % 11.04/11.22 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 11.04/11.22 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1e6]. % 11.04/11.22 congruence. % 11.04/11.22 apply (zenon_L286_); trivial. % 11.04/11.22 apply zenon_H5a. apply refl_equal. % 11.04/11.22 apply zenon_H5a. apply refl_equal. % 11.04/11.22 apply zenon_H3a. apply refl_equal. % 11.04/11.22 apply zenon_H2f. apply refl_equal. % 11.04/11.22 apply zenon_H61. apply refl_equal. % 11.04/11.22 apply zenon_H61. apply refl_equal. % 11.04/11.22 apply zenon_H2b. apply refl_equal. % 11.04/11.22 apply zenon_H61. apply refl_equal. % 11.04/11.22 apply zenon_H61. apply refl_equal. % 11.04/11.22 apply (zenon_L287_); trivial. % 11.04/11.22 (* end of lemma zenon_L288_ *) % 11.04/11.22 assert (zenon_L289_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.04/11.22 do 0 intro. intros zenon_Hd3 zenon_H175 zenon_H42 zenon_H149 zenon_H11c zenon_H163 zenon_H6f zenon_H38. % 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.22 apply (zenon_L284_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.22 apply (zenon_L285_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.22 apply (zenon_L288_); trivial. % 11.04/11.22 apply (zenon_L47_); trivial. % 11.04/11.22 (* end of lemma zenon_L289_ *) % 11.04/11.22 assert (zenon_L290_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> False). % 11.04/11.22 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_H140 zenon_Ha9 zenon_H10e zenon_H1b9 zenon_H121 zenon_H104 zenon_H1dd zenon_H117 zenon_H1d zenon_H38 zenon_H149 zenon_H42 zenon_Hd3 zenon_H109 zenon_H163 zenon_H12a zenon_H103 zenon_He9 zenon_H88 zenon_H175 zenon_H13a zenon_Ha5. % 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.22 exact (zenon_He6 zenon_H1f). % 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.22 apply (zenon_L74_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.22 apply (zenon_L272_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.22 apply (zenon_L276_); trivial. % 11.04/11.22 apply (zenon_L279_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.22 apply (zenon_L280_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.22 apply (zenon_L281_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.22 apply (zenon_L289_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.22 apply (zenon_L276_); trivial. % 11.04/11.22 apply (zenon_L78_); trivial. % 11.04/11.22 (* end of lemma zenon_L290_ *) % 11.04/11.22 assert (zenon_L291_ : (~((e2) = (e3))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H149 zenon_H37 zenon_H175. % 11.04/11.22 cut (((op (e0) (e0)) = (e3)) = ((e2) = (e3))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H149. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H37. % 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.22 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H171]. % 11.04/11.22 congruence. % 11.04/11.22 exact (zenon_H171 zenon_H175). % 11.04/11.22 apply zenon_H3a. apply refl_equal. % 11.04/11.22 (* end of lemma zenon_L291_ *) % 11.04/11.22 assert (zenon_L292_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.04/11.22 do 0 intro. intros zenon_H23 zenon_H89 zenon_H81. % 11.04/11.22 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 11.04/11.22 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H81. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H39. % 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.22 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 11.04/11.22 congruence. % 11.04/11.22 cut (((op (e0) (e1)) = (e0)) = ((e3) = (e0))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H82. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H23. % 11.04/11.22 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.22 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1eb]. % 11.04/11.22 congruence. % 11.04/11.22 exact (zenon_H1eb zenon_H89). % 11.04/11.22 apply zenon_H2b. apply refl_equal. % 11.04/11.22 apply zenon_H3a. apply refl_equal. % 11.04/11.22 apply zenon_H3a. apply refl_equal. % 11.04/11.22 (* end of lemma zenon_L292_ *) % 11.04/11.22 assert (zenon_L293_ : ((op (e0) (e2)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> (~((e3) = (op (e0) (op (e0) (e0))))) -> False). % 11.04/11.22 do 0 intro. intros zenon_Hdc zenon_H175 zenon_H8b. % 11.04/11.22 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e3) = (op (e0) (op (e0) (e0))))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H8b. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H48. % 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 11.04/11.22 congruence. % 11.04/11.22 cut (((op (e0) (e2)) = (e3)) = ((op (e0) (op (e0) (e0))) = (e3))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H8c. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_Hdc. % 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.22 cut (((op (e0) (e2)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1e1]. % 11.04/11.22 congruence. % 11.04/11.22 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e2)) = (op (e0) (op (e0) (e0))))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H1e1. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H48. % 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1de]. % 11.04/11.22 congruence. % 11.04/11.22 apply (zenon_L282_); trivial. % 11.04/11.22 apply zenon_H49. apply refl_equal. % 11.04/11.22 apply zenon_H49. apply refl_equal. % 11.04/11.22 apply zenon_H3a. apply refl_equal. % 11.04/11.22 apply zenon_H49. apply refl_equal. % 11.04/11.22 apply zenon_H49. apply refl_equal. % 11.04/11.22 (* end of lemma zenon_L293_ *) % 11.04/11.22 assert (zenon_L294_ : ((op (e3) (e0)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> False). % 11.04/11.22 do 0 intro. intros zenon_H156 zenon_Hdc zenon_H175. % 11.04/11.22 apply (zenon_notand_s _ _ ax8); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1ec ]. % 11.04/11.22 apply zenon_H1e3. apply sym_equal. exact zenon_H175. % 11.04/11.22 apply (zenon_notand_s _ _ zenon_H1ec); [ zenon_intro zenon_H1ed | zenon_intro zenon_H8b ]. % 11.04/11.22 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H1ed. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H50. % 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1ee]. % 11.04/11.22 congruence. % 11.04/11.22 cut (((op (e3) (e0)) = (e1)) = ((op (op (e0) (op (e0) (e0))) (e0)) = (e1))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H1ee. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H156. % 11.04/11.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.22 cut (((op (e3) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H91]. % 11.04/11.22 congruence. % 11.04/11.22 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((op (e3) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H91. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H50. % 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 11.04/11.22 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H92]. % 11.04/11.22 congruence. % 11.04/11.22 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 11.04/11.22 congruence. % 11.04/11.22 cut (((op (e0) (e2)) = (e3)) = ((op (e0) (op (e0) (e0))) = (e3))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H8c. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_Hdc. % 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.22 cut (((op (e0) (e2)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1e1]. % 11.04/11.22 congruence. % 11.04/11.22 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e2)) = (op (e0) (op (e0) (e0))))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H1e1. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H48. % 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 11.04/11.22 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1de]. % 11.04/11.22 congruence. % 11.04/11.22 apply (zenon_L282_); trivial. % 11.04/11.22 apply zenon_H49. apply refl_equal. % 11.04/11.22 apply zenon_H49. apply refl_equal. % 11.04/11.22 apply zenon_H3a. apply refl_equal. % 11.04/11.22 apply zenon_H2b. apply refl_equal. % 11.04/11.22 apply zenon_H51. apply refl_equal. % 11.04/11.22 apply zenon_H51. apply refl_equal. % 11.04/11.22 apply zenon_H2f. apply refl_equal. % 11.04/11.22 apply zenon_H51. apply refl_equal. % 11.04/11.22 apply zenon_H51. apply refl_equal. % 11.04/11.22 apply (zenon_L293_); trivial. % 11.04/11.22 (* end of lemma zenon_L294_ *) % 11.04/11.22 assert (zenon_L295_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.04/11.22 do 0 intro. intros zenon_H186 zenon_H101 zenon_H38. % 11.04/11.22 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 11.04/11.22 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H38. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H39. % 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.22 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.04/11.22 congruence. % 11.04/11.22 cut (((op (e0) (e3)) = (e1)) = ((e3) = (e1))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H3b. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H186. % 11.04/11.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.22 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H102]. % 11.04/11.22 congruence. % 11.04/11.22 exact (zenon_H102 zenon_H101). % 11.04/11.22 apply zenon_H2f. apply refl_equal. % 11.04/11.22 apply zenon_H3a. apply refl_equal. % 11.04/11.22 apply zenon_H3a. apply refl_equal. % 11.04/11.22 (* end of lemma zenon_L295_ *) % 11.04/11.22 assert (zenon_L296_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.04/11.22 do 0 intro. intros zenon_H11f zenon_H89 zenon_H38. % 11.04/11.22 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 11.04/11.22 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H38. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H39. % 11.04/11.22 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.22 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.04/11.22 congruence. % 11.04/11.22 cut (((op (e0) (e1)) = (e1)) = ((e3) = (e1))). % 11.04/11.22 intro zenon_D_pnotp. % 11.04/11.22 apply zenon_H3b. % 11.04/11.22 rewrite <- zenon_D_pnotp. % 11.04/11.22 exact zenon_H11f. % 11.04/11.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.22 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1eb]. % 11.04/11.22 congruence. % 11.04/11.22 exact (zenon_H1eb zenon_H89). % 11.04/11.22 apply zenon_H2f. apply refl_equal. % 11.04/11.22 apply zenon_H3a. apply refl_equal. % 11.04/11.22 apply zenon_H3a. apply refl_equal. % 11.04/11.22 (* end of lemma zenon_L296_ *) % 11.04/11.22 assert (zenon_L297_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.04/11.22 do 0 intro. intros zenon_H14b zenon_H149 zenon_H38 zenon_H11f zenon_H175 zenon_H156 zenon_H31 zenon_H81. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.22 apply (zenon_L291_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.22 apply (zenon_L296_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.22 apply (zenon_L294_); trivial. % 11.04/11.22 apply (zenon_L73_); trivial. % 11.04/11.22 (* end of lemma zenon_L297_ *) % 11.04/11.22 assert (zenon_L298_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.22 do 0 intro. intros zenon_H166 zenon_H2d zenon_H156 zenon_H109 zenon_H95 zenon_Ha9 zenon_Hf5 zenon_H31 zenon_H69. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.04/11.22 apply (zenon_L169_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.04/11.22 apply (zenon_L275_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.04/11.22 apply (zenon_L65_); trivial. % 11.04/11.22 apply (zenon_L21_); trivial. % 11.04/11.22 (* end of lemma zenon_L298_ *) % 11.04/11.22 assert (zenon_L299_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.22 do 0 intro. intros zenon_H13a zenon_H175 zenon_H88 zenon_H10d zenon_He9 zenon_H103 zenon_H12a zenon_H166 zenon_H2d zenon_H156 zenon_H109 zenon_Ha9 zenon_Hf5 zenon_H31 zenon_H69. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.22 apply (zenon_L156_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.22 apply (zenon_L273_); trivial. % 11.04/11.22 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.22 apply (zenon_L274_); trivial. % 11.04/11.23 apply (zenon_L298_); trivial. % 11.04/11.23 (* end of lemma zenon_L299_ *) % 11.04/11.23 assert (zenon_L300_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.04/11.23 do 0 intro. intros zenon_Hd3 zenon_H175 zenon_H42 zenon_H149 zenon_H69 zenon_H31 zenon_Hf5 zenon_Ha9 zenon_H11c zenon_H156 zenon_H2d zenon_H166 zenon_H6f zenon_H38. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.23 apply (zenon_L284_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.23 apply (zenon_L285_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.04/11.23 apply (zenon_L169_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.04/11.23 apply (zenon_L288_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.04/11.23 apply (zenon_L65_); trivial. % 11.04/11.23 apply (zenon_L21_); trivial. % 11.04/11.23 apply (zenon_L47_); trivial. % 11.04/11.23 (* end of lemma zenon_L300_ *) % 11.04/11.23 assert (zenon_L301_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H31 zenon_H186 zenon_H2d. % 11.04/11.23 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ]. % 11.04/11.23 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H2d. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H2e. % 11.04/11.23 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.23 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 11.04/11.23 congruence. % 11.04/11.23 cut (((op (e0) (e3)) = (e0)) = ((e1) = (e0))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H30. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H31. % 11.04/11.23 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.23 cut (((op (e0) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1ef]. % 11.04/11.23 congruence. % 11.04/11.23 exact (zenon_H1ef zenon_H186). % 11.04/11.23 apply zenon_H2b. apply refl_equal. % 11.04/11.23 apply zenon_H2f. apply refl_equal. % 11.04/11.23 apply zenon_H2f. apply refl_equal. % 11.04/11.23 (* end of lemma zenon_L301_ *) % 11.04/11.23 assert (zenon_L302_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H1da zenon_H186 zenon_H32 zenon_He6 zenon_Ha5 zenon_H103 zenon_Hc4 zenon_H38. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.23 apply (zenon_L158_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.23 exact (zenon_He6 zenon_H1f). % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.23 apply (zenon_L270_); trivial. % 11.04/11.23 apply (zenon_L239_); trivial. % 11.04/11.23 (* end of lemma zenon_L302_ *) % 11.04/11.23 assert (zenon_L303_ : (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> False). % 11.04/11.23 do 0 intro. intros zenon_He9 zenon_Hca zenon_Hcb. % 11.04/11.23 cut (((op (e1) (e1)) = (e3)) = ((op (e1) (e1)) = (op (e1) (e2)))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_He9. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_Hca. % 11.04/11.23 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hd0]. % 11.04/11.23 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 11.04/11.23 congruence. % 11.04/11.23 apply zenon_Ha4. apply refl_equal. % 11.04/11.23 apply zenon_Hd0. apply sym_equal. exact zenon_Hcb. % 11.04/11.23 (* end of lemma zenon_L303_ *) % 11.04/11.23 assert (zenon_L304_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H14b zenon_H175 zenon_H149 zenon_H133 zenon_H132 zenon_H38 zenon_H42 zenon_H31 zenon_H81. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.23 apply (zenon_L291_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.23 apply (zenon_L91_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.23 apply (zenon_L71_); trivial. % 11.04/11.23 apply (zenon_L73_); trivial. % 11.04/11.23 (* end of lemma zenon_L304_ *) % 11.04/11.23 assert (zenon_L305_ : (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> False). % 11.04/11.23 do 0 intro. intros zenon_H1f0 zenon_H1f zenon_Hc3. % 11.04/11.23 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e1) (e2)))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H1f0. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H1f. % 11.04/11.23 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1b8]. % 11.04/11.23 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f1]. % 11.04/11.23 congruence. % 11.04/11.23 apply zenon_H1f1. apply refl_equal. % 11.04/11.23 apply zenon_H1b8. apply sym_equal. exact zenon_Hc3. % 11.04/11.23 (* end of lemma zenon_L305_ *) % 11.04/11.23 assert (zenon_L306_ : ((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e2)) -> False). % 11.04/11.23 do 0 intro. intros zenon_H1f2 zenon_H66 zenon_H2d zenon_H103. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ]. % 11.04/11.23 exact (zenon_H14e zenon_H103). % 11.04/11.23 apply (zenon_L37_); trivial. % 11.04/11.23 (* end of lemma zenon_L306_ *) % 11.04/11.23 assert (zenon_L307_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e1))) -> ((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> False). % 11.04/11.23 do 0 intro. intros zenon_H13b zenon_H11f zenon_Hcb zenon_He9 zenon_H12a zenon_Hbe zenon_H81 zenon_H31 zenon_H38 zenon_H132 zenon_H149 zenon_H175 zenon_H14b zenon_H1f zenon_H1f0 zenon_H103 zenon_H2d zenon_H1f2 zenon_H4c zenon_Ha9. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.23 apply (zenon_L296_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.23 apply (zenon_L303_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.23 apply (zenon_L87_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.04/11.23 apply (zenon_L304_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.04/11.23 apply (zenon_L305_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.04/11.23 apply (zenon_L306_); trivial. % 11.04/11.23 apply (zenon_L40_); trivial. % 11.04/11.23 (* end of lemma zenon_L307_ *) % 11.04/11.23 assert (zenon_L308_ : ((op (e1) (e3)) = (e2)) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H10c zenon_Hd1 zenon_H149. % 11.04/11.23 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 11.04/11.23 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H149. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H39. % 11.04/11.23 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.23 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H14a]. % 11.04/11.23 congruence. % 11.04/11.23 cut (((op (e1) (e3)) = (e2)) = ((e3) = (e2))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H14a. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H10c. % 11.04/11.23 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.23 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 11.04/11.23 congruence. % 11.04/11.23 exact (zenon_Hd2 zenon_Hd1). % 11.04/11.23 apply zenon_H45. apply refl_equal. % 11.04/11.23 apply zenon_H3a. apply refl_equal. % 11.04/11.23 apply zenon_H3a. apply refl_equal. % 11.04/11.23 (* end of lemma zenon_L308_ *) % 11.04/11.23 assert (zenon_L309_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e1)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H15e zenon_H69 zenon_Hf5 zenon_H2d zenon_H166 zenon_H95 zenon_Ha9 zenon_H4c zenon_H119 zenon_H109 zenon_H31 zenon_H149 zenon_Hd1 zenon_H103 zenon_H113 zenon_Ha5. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.23 apply (zenon_L298_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.23 apply (zenon_L162_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.23 apply (zenon_L40_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ]. % 11.04/11.23 apply (zenon_L75_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ]. % 11.04/11.23 apply (zenon_L308_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ]. % 11.04/11.23 apply (zenon_L77_); trivial. % 11.04/11.23 apply (zenon_L125_); trivial. % 11.04/11.23 (* end of lemma zenon_L309_ *) % 11.04/11.23 assert (zenon_L310_ : (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e3) (e0)) = (e1)) -> False). % 11.04/11.23 do 0 intro. intros zenon_Hc5 zenon_H1f zenon_H156. % 11.04/11.23 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e3) (e0)))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_Hc5. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H1f. % 11.04/11.23 cut (((e1) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H157]. % 11.04/11.23 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f1]. % 11.04/11.23 congruence. % 11.04/11.23 apply zenon_H1f1. apply refl_equal. % 11.04/11.23 apply zenon_H157. apply sym_equal. exact zenon_H156. % 11.04/11.23 (* end of lemma zenon_L310_ *) % 11.04/11.23 assert (zenon_L311_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H13a zenon_H175 zenon_H88 zenon_H24 zenon_H109 zenon_H103 zenon_H12a zenon_H141 zenon_Ha5. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.23 apply (zenon_L156_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.23 apply (zenon_L149_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.23 apply (zenon_L274_); trivial. % 11.04/11.23 apply (zenon_L162_); trivial. % 11.04/11.23 (* end of lemma zenon_L311_ *) % 11.04/11.23 assert (zenon_L312_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H2c zenon_H175 zenon_H109. % 11.04/11.23 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ]. % 11.04/11.23 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H109. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_Ha6. % 11.04/11.23 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.23 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H10a]. % 11.04/11.23 congruence. % 11.04/11.23 cut (((op (e0) (e0)) = (e0)) = ((e2) = (e0))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H10a. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H2c. % 11.04/11.23 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.23 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H171]. % 11.04/11.23 congruence. % 11.04/11.23 exact (zenon_H171 zenon_H175). % 11.04/11.23 apply zenon_H2b. apply refl_equal. % 11.04/11.23 apply zenon_H45. apply refl_equal. % 11.04/11.23 apply zenon_H45. apply refl_equal. % 11.04/11.23 (* end of lemma zenon_L312_ *) % 11.04/11.23 assert (zenon_L313_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> False). % 11.04/11.23 do 0 intro. intros zenon_H13a zenon_H175 zenon_H88 zenon_H10d zenon_He9 zenon_H1f3 zenon_H3d zenon_H24. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.23 apply (zenon_L156_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.23 apply (zenon_L273_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.23 exact (zenon_H1f3 zenon_H130). % 11.04/11.23 apply (zenon_L32_); trivial. % 11.04/11.23 (* end of lemma zenon_L313_ *) % 11.04/11.23 assert (zenon_L314_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> False). % 11.04/11.23 do 0 intro. intros zenon_H117 zenon_H1d zenon_H109 zenon_He9 zenon_H13a zenon_H175 zenon_H88 zenon_H121 zenon_H1f3 zenon_H3d zenon_H24. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.23 apply (zenon_L281_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.23 apply (zenon_L149_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.23 apply (zenon_L313_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.23 apply (zenon_L156_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.23 apply (zenon_L277_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.23 exact (zenon_H1f3 zenon_H130). % 11.04/11.23 apply (zenon_L32_); trivial. % 11.04/11.23 (* end of lemma zenon_L314_ *) % 11.04/11.23 assert (zenon_L315_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.04/11.23 do 0 intro. intros zenon_H1f4 zenon_Ha9 zenon_Hc3 zenon_H19c zenon_Hfc zenon_Hf5 zenon_H84 zenon_Hdc. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ]. % 11.04/11.23 apply (zenon_L65_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ]. % 11.04/11.23 apply (zenon_L167_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ]. % 11.04/11.23 apply (zenon_L163_); trivial. % 11.04/11.23 apply (zenon_L131_); trivial. % 11.04/11.23 (* end of lemma zenon_L315_ *) % 11.04/11.23 assert (zenon_L316_ : ((op (e1) (e2)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.04/11.23 do 0 intro. intros zenon_Hea zenon_Hc3 zenon_H2d. % 11.04/11.23 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ]. % 11.04/11.23 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H2d. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H2e. % 11.04/11.23 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.23 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 11.04/11.23 congruence. % 11.04/11.23 cut (((op (e1) (e2)) = (e0)) = ((e1) = (e0))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H30. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_Hea. % 11.04/11.23 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.23 cut (((op (e1) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hbd]. % 11.04/11.23 congruence. % 11.04/11.23 exact (zenon_Hbd zenon_Hc3). % 11.04/11.23 apply zenon_H2b. apply refl_equal. % 11.04/11.23 apply zenon_H2f. apply refl_equal. % 11.04/11.23 apply zenon_H2f. apply refl_equal. % 11.04/11.23 (* end of lemma zenon_L316_ *) % 11.04/11.23 assert (zenon_L317_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H6f zenon_Hc3 zenon_H10e. % 11.04/11.23 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H10f | zenon_intro zenon_H110 ]. % 11.04/11.23 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e2)) = (op (e1) (e3)))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H10e. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H10f. % 11.04/11.23 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 11.04/11.23 cut (((op (e1) (e3)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H111]. % 11.04/11.23 congruence. % 11.04/11.23 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e2)))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H111. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H6f. % 11.04/11.23 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1b8]. % 11.04/11.23 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 11.04/11.23 congruence. % 11.04/11.23 apply zenon_H110. apply refl_equal. % 11.04/11.23 apply zenon_H1b8. apply sym_equal. exact zenon_Hc3. % 11.04/11.23 apply zenon_H110. apply refl_equal. % 11.04/11.23 apply zenon_H110. apply refl_equal. % 11.04/11.23 (* end of lemma zenon_L317_ *) % 11.04/11.23 assert (zenon_L318_ : ((op (e0) (e2)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H9b zenon_H175 zenon_H41. % 11.04/11.23 elim (classic ((op (e0) (e2)) = (op (e0) (e2)))); [ zenon_intro zenon_H183 | zenon_intro zenon_H87 ]. % 11.04/11.23 cut (((op (e0) (e2)) = (op (e0) (e2))) = ((op (e0) (e0)) = (op (e0) (e2)))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H41. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H183. % 11.04/11.23 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 11.04/11.23 cut (((op (e0) (e2)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H184]. % 11.04/11.23 congruence. % 11.04/11.23 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e0) (e0)))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H184. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H9b. % 11.04/11.23 cut (((e2) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1e3]. % 11.04/11.23 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 11.04/11.23 congruence. % 11.04/11.23 apply zenon_H87. apply refl_equal. % 11.04/11.23 apply zenon_H1e3. apply sym_equal. exact zenon_H175. % 11.04/11.23 apply zenon_H87. apply refl_equal. % 11.04/11.23 apply zenon_H87. apply refl_equal. % 11.04/11.23 (* end of lemma zenon_L318_ *) % 11.04/11.23 assert (zenon_L319_ : (((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) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H170 zenon_H150 zenon_H138 zenon_H85 zenon_H9c zenon_H140 zenon_H145. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H163 | zenon_intro zenon_H17d ]. % 11.04/11.23 apply (zenon_L134_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H141 | zenon_intro zenon_H17e ]. % 11.04/11.23 apply (zenon_L96_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H95 | zenon_intro zenon_H133 ]. % 11.04/11.23 apply (zenon_L174_); trivial. % 11.04/11.23 exact (zenon_H145 zenon_H133). % 11.04/11.23 (* end of lemma zenon_L319_ *) % 11.04/11.23 assert (zenon_L320_ : (((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)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (((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 (e3) (e1)) = (e3))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H1b9 zenon_H41 zenon_H175 zenon_H11c zenon_He9 zenon_H109 zenon_Ha9 zenon_H170 zenon_H150 zenon_H138 zenon_H85 zenon_H140 zenon_H145. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.04/11.23 apply (zenon_L318_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.04/11.23 apply (zenon_L273_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.04/11.23 apply (zenon_L139_); trivial. % 11.04/11.23 apply (zenon_L319_); trivial. % 11.04/11.23 (* end of lemma zenon_L320_ *) % 11.04/11.23 assert (zenon_L321_ : ((op (e1) (e1)) = (e3)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False). % 11.04/11.23 do 0 intro. intros zenon_Hca zenon_H3d zenon_H1f7. % 11.04/11.23 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_He7 | zenon_intro zenon_Ha4 ]. % 11.04/11.23 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e1) (e0)) = (op (e1) (e1)))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H1f7. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_He7. % 11.04/11.23 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 11.04/11.23 cut (((op (e1) (e1)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f8]. % 11.04/11.23 congruence. % 11.04/11.23 cut (((op (e1) (e1)) = (e3)) = ((op (e1) (e1)) = (op (e1) (e0)))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H1f8. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_Hca. % 11.04/11.23 cut (((e3) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc9]. % 11.04/11.23 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 11.04/11.23 congruence. % 11.04/11.23 apply zenon_Ha4. apply refl_equal. % 11.04/11.23 apply zenon_Hc9. apply sym_equal. exact zenon_H3d. % 11.04/11.23 apply zenon_Ha4. apply refl_equal. % 11.04/11.23 apply zenon_Ha4. apply refl_equal. % 11.04/11.23 (* end of lemma zenon_L321_ *) % 11.04/11.23 assert (zenon_L322_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False). % 11.04/11.23 do 0 intro. intros zenon_H162 zenon_H11c zenon_H95. % 11.04/11.23 cut (((op (e1) (e1)) = (e2)) = ((op (e1) (e1)) = (op (e3) (e1)))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H162. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H11c. % 11.04/11.23 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H139]. % 11.04/11.23 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 11.04/11.23 congruence. % 11.04/11.23 apply zenon_Ha4. apply refl_equal. % 11.04/11.23 apply zenon_H139. apply sym_equal. exact zenon_H95. % 11.04/11.23 (* end of lemma zenon_L322_ *) % 11.04/11.23 assert (zenon_L323_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> False). % 11.04/11.23 do 0 intro. intros zenon_Ha1 zenon_Hca zenon_H5d. % 11.04/11.23 cut (((op (e1) (e1)) = (e3)) = ((op (e1) (e1)) = (op (e2) (e1)))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_Ha1. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_Hca. % 11.04/11.23 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H12b]. % 11.04/11.23 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 11.04/11.23 congruence. % 11.04/11.23 apply zenon_Ha4. apply refl_equal. % 11.04/11.23 apply zenon_H12b. apply sym_equal. exact zenon_H5d. % 11.04/11.23 (* end of lemma zenon_L323_ *) % 11.04/11.23 assert (zenon_L324_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> False). % 11.04/11.23 do 0 intro. intros zenon_H1f9 zenon_Ha2 zenon_H40 zenon_H95 zenon_H162 zenon_Ha1 zenon_H5d. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ]. % 11.04/11.23 apply (zenon_L35_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ]. % 11.04/11.23 exact (zenon_H40 zenon_H3f). % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ]. % 11.04/11.23 apply (zenon_L322_); trivial. % 11.04/11.23 apply (zenon_L323_); trivial. % 11.04/11.23 (* end of lemma zenon_L324_ *) % 11.04/11.23 assert (zenon_L325_ : (((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)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H13b zenon_H38 zenon_H11f zenon_H1f7 zenon_H3d zenon_Ha1 zenon_H162 zenon_H95 zenon_H40 zenon_Ha2 zenon_H1f9 zenon_H145. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.23 apply (zenon_L296_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.23 apply (zenon_L321_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.23 apply (zenon_L324_); trivial. % 11.04/11.23 exact (zenon_H145 zenon_H133). % 11.04/11.23 (* end of lemma zenon_L325_ *) % 11.04/11.23 assert (zenon_L326_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (((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)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H13a zenon_Ha5 zenon_H10d zenon_He9 zenon_H1f3 zenon_H13b zenon_H38 zenon_H11f zenon_H1f7 zenon_H3d zenon_Ha1 zenon_H162 zenon_H40 zenon_Ha2 zenon_H1f9 zenon_H145. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.23 apply (zenon_L81_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.23 apply (zenon_L273_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.23 exact (zenon_H1f3 zenon_H130). % 11.04/11.23 apply (zenon_L325_); trivial. % 11.04/11.23 (* end of lemma zenon_L326_ *) % 11.04/11.23 assert (zenon_L327_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((e1) = (e2))) -> (((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)) = (e2))) -> (((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)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((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)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.04/11.23 do 0 intro. intros zenon_H1fc zenon_H1fd zenon_Ha5 zenon_H13a zenon_He9 zenon_H1f3 zenon_H13b zenon_H38 zenon_H11f zenon_H1f7 zenon_H3d zenon_Ha1 zenon_H162 zenon_H40 zenon_H1f9 zenon_H145 zenon_Hbe zenon_H10e zenon_H67 zenon_H1b9 zenon_H41 zenon_H175 zenon_H109 zenon_Ha9 zenon_H170 zenon_H140 zenon_H1d zenon_H117 zenon_Hea zenon_H2d zenon_Hd6 zenon_H138 zenon_H150. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.04/11.23 exact (zenon_H1fd zenon_H23). % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.04/11.23 apply (zenon_L59_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.23 apply (zenon_L9_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.23 exact (zenon_H40 zenon_H3f). % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.23 apply (zenon_L316_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.23 apply (zenon_L281_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.04/11.23 apply (zenon_L284_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.04/11.23 apply (zenon_L317_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.04/11.23 exact (zenon_H67 zenon_H66). % 11.04/11.23 apply (zenon_L320_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.23 apply (zenon_L326_); trivial. % 11.04/11.23 apply (zenon_L78_); trivial. % 11.04/11.23 apply (zenon_L134_); trivial. % 11.04/11.23 (* end of lemma zenon_L327_ *) % 11.04/11.23 assert (zenon_L328_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> False). % 11.04/11.23 do 0 intro. intros zenon_H1a9 zenon_H31 zenon_H1a7. % 11.04/11.23 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e1) (e3)))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H1a9. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H31. % 11.04/11.23 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1c9]. % 11.04/11.23 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34]. % 11.04/11.23 congruence. % 11.04/11.23 apply zenon_H34. apply refl_equal. % 11.04/11.23 apply zenon_H1c9. apply sym_equal. exact zenon_H1a7. % 11.04/11.23 (* end of lemma zenon_L328_ *) % 11.04/11.23 assert (zenon_L329_ : (((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)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (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 (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.04/11.23 do 0 intro. intros zenon_H200 zenon_Hc5 zenon_H121 zenon_H88 zenon_H150 zenon_H138 zenon_Hd6 zenon_H2d zenon_H117 zenon_H1d zenon_H140 zenon_H170 zenon_Ha9 zenon_H109 zenon_H175 zenon_H41 zenon_H1b9 zenon_H67 zenon_H10e zenon_Hbe zenon_H145 zenon_H1f9 zenon_H40 zenon_H162 zenon_Ha1 zenon_H3d zenon_H1f7 zenon_H11f zenon_H38 zenon_H13b zenon_H1f3 zenon_He9 zenon_H13a zenon_Ha5 zenon_H1fd zenon_H1fc zenon_H1a9 zenon_H31. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.04/11.23 apply (zenon_L127_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.04/11.23 apply (zenon_L314_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.04/11.23 apply (zenon_L327_); trivial. % 11.04/11.23 apply (zenon_L328_); trivial. % 11.04/11.23 (* end of lemma zenon_L329_ *) % 11.04/11.23 assert (zenon_L330_ : (((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)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H13b zenon_H38 zenon_H11f zenon_H24 zenon_H81 zenon_H4c zenon_H12a zenon_H145. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.23 apply (zenon_L296_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.23 apply (zenon_L44_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.23 apply (zenon_L87_); trivial. % 11.04/11.23 exact (zenon_H145 zenon_H133). % 11.04/11.23 (* end of lemma zenon_L330_ *) % 11.04/11.23 assert (zenon_L331_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H13a zenon_H175 zenon_H88 zenon_H10d zenon_He9 zenon_H1f3 zenon_H141 zenon_Ha5. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.23 apply (zenon_L156_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.23 apply (zenon_L273_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.23 exact (zenon_H1f3 zenon_H130). % 11.04/11.23 apply (zenon_L162_); trivial. % 11.04/11.23 (* end of lemma zenon_L331_ *) % 11.04/11.23 assert (zenon_L332_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H15e zenon_H69 zenon_H31 zenon_Hf5 zenon_Ha9 zenon_H95 zenon_H109 zenon_H2d zenon_H166 zenon_Ha5 zenon_H1f3 zenon_He9 zenon_H10d zenon_H88 zenon_H175 zenon_H13a zenon_H42 zenon_H84 zenon_H15d. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.23 apply (zenon_L298_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.23 apply (zenon_L331_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.23 apply (zenon_L27_); trivial. % 11.04/11.23 exact (zenon_H15d zenon_H6e). % 11.04/11.23 (* end of lemma zenon_L332_ *) % 11.04/11.23 assert (zenon_L333_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H15e zenon_H69 zenon_H31 zenon_Hf5 zenon_Ha9 zenon_H109 zenon_H2d zenon_H166 zenon_Ha5 zenon_H1f3 zenon_He9 zenon_H10d zenon_H88 zenon_H175 zenon_H13a zenon_H42 zenon_H84 zenon_H15d. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.23 apply (zenon_L156_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.23 apply (zenon_L273_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.23 exact (zenon_H1f3 zenon_H130). % 11.04/11.23 apply (zenon_L332_); trivial. % 11.04/11.23 (* end of lemma zenon_L333_ *) % 11.04/11.23 assert (zenon_L334_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H13a zenon_H175 zenon_H88 zenon_H121 zenon_H1f3 zenon_H1b9 zenon_Ha5 zenon_H42 zenon_H10e zenon_H10c zenon_H109 zenon_Ha9 zenon_H140. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.23 apply (zenon_L156_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.23 apply (zenon_L277_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.23 exact (zenon_H1f3 zenon_H130). % 11.04/11.23 apply (zenon_L278_); trivial. % 11.04/11.23 (* end of lemma zenon_L334_ *) % 11.04/11.23 assert (zenon_L335_ : ((op (e1) (e2)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((e0) = (op (e1) (op (e1) (e1))))) -> False). % 11.04/11.23 do 0 intro. intros zenon_Hea zenon_H11c zenon_H203. % 11.04/11.23 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ]. % 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e0) = (op (e1) (op (e1) (e1))))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H203. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H59. % 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H204]. % 11.04/11.23 congruence. % 11.04/11.23 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (op (e1) (e1))) = (e0))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H204. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_Hea. % 11.04/11.23 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.23 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1e7]. % 11.04/11.23 congruence. % 11.04/11.23 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ]. % 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e1))))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H1e7. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H59. % 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1e6]. % 11.04/11.23 congruence. % 11.04/11.23 apply (zenon_L286_); trivial. % 11.04/11.23 apply zenon_H5a. apply refl_equal. % 11.04/11.23 apply zenon_H5a. apply refl_equal. % 11.04/11.23 apply zenon_H2b. apply refl_equal. % 11.04/11.23 apply zenon_H5a. apply refl_equal. % 11.04/11.23 apply zenon_H5a. apply refl_equal. % 11.04/11.23 (* end of lemma zenon_L335_ *) % 11.04/11.23 assert (zenon_L336_ : ((op (e0) (e1)) = (e3)) -> ((op (e1) (e2)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> False). % 11.04/11.23 do 0 intro. intros zenon_H89 zenon_Hea zenon_H11c. % 11.04/11.23 apply (zenon_notand_s _ _ ax15); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H205 ]. % 11.04/11.23 apply zenon_H1d2. apply sym_equal. exact zenon_H11c. % 11.04/11.23 apply (zenon_notand_s _ _ zenon_H205); [ zenon_intro zenon_H5f | zenon_intro zenon_H203 ]. % 11.04/11.23 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H5f. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H60. % 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 11.04/11.23 congruence. % 11.04/11.23 cut (((op (e0) (e1)) = (e3)) = ((op (op (e1) (op (e1) (e1))) (e1)) = (e3))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H62. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H89. % 11.04/11.23 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.23 cut (((op (e0) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 11.04/11.23 congruence. % 11.04/11.23 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((op (e0) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H206. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H60. % 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H207]. % 11.04/11.23 congruence. % 11.04/11.23 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H204]. % 11.04/11.23 congruence. % 11.04/11.23 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (op (e1) (e1))) = (e0))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H204. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_Hea. % 11.04/11.23 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.23 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H1e7]. % 11.04/11.23 congruence. % 11.04/11.23 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ]. % 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e1))))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H1e7. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H59. % 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1e6]. % 11.04/11.23 congruence. % 11.04/11.23 apply (zenon_L286_); trivial. % 11.04/11.23 apply zenon_H5a. apply refl_equal. % 11.04/11.23 apply zenon_H5a. apply refl_equal. % 11.04/11.23 apply zenon_H2b. apply refl_equal. % 11.04/11.23 apply zenon_H2f. apply refl_equal. % 11.04/11.23 apply zenon_H61. apply refl_equal. % 11.04/11.23 apply zenon_H61. apply refl_equal. % 11.04/11.23 apply zenon_H3a. apply refl_equal. % 11.04/11.23 apply zenon_H61. apply refl_equal. % 11.04/11.23 apply zenon_H61. apply refl_equal. % 11.04/11.23 apply (zenon_L335_); trivial. % 11.04/11.23 (* end of lemma zenon_L336_ *) % 11.04/11.23 assert (zenon_L337_ : (((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) (e1)) = (e1))) -> ((op (e1) (e2)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False). % 11.04/11.23 do 0 intro. intros zenon_H1f9 zenon_Ha2 zenon_Ha1 zenon_H40 zenon_Hea zenon_H89 zenon_He9 zenon_Hcb. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ]. % 11.04/11.23 apply (zenon_L35_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ]. % 11.04/11.23 exact (zenon_H40 zenon_H3f). % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ]. % 11.04/11.23 apply (zenon_L336_); trivial. % 11.04/11.23 apply (zenon_L303_); trivial. % 11.04/11.23 (* end of lemma zenon_L337_ *) % 11.04/11.23 assert (zenon_L338_ : (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> False). % 11.04/11.23 do 0 intro. intros zenon_H121 zenon_Hca zenon_Hd1. % 11.04/11.23 cut (((op (e1) (e1)) = (e3)) = ((op (e1) (e1)) = (op (e1) (e3)))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H121. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_Hca. % 11.04/11.23 cut (((e3) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1aa]. % 11.04/11.23 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 11.04/11.23 congruence. % 11.04/11.23 apply zenon_Ha4. apply refl_equal. % 11.04/11.23 apply zenon_H1aa. apply sym_equal. exact zenon_Hd1. % 11.04/11.23 (* end of lemma zenon_L338_ *) % 11.04/11.23 assert (zenon_L339_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False). % 11.04/11.23 do 0 intro. intros zenon_H1f9 zenon_Hea zenon_He9 zenon_H40 zenon_H95 zenon_H162 zenon_H121 zenon_Hd1. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ]. % 11.04/11.23 apply (zenon_L59_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ]. % 11.04/11.23 exact (zenon_H40 zenon_H3f). % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ]. % 11.04/11.23 apply (zenon_L322_); trivial. % 11.04/11.23 apply (zenon_L338_); trivial. % 11.04/11.23 (* end of lemma zenon_L339_ *) % 11.04/11.23 assert (zenon_L340_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (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 (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (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) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H14b zenon_H149 zenon_H1a9 zenon_H1fc zenon_H1fd zenon_H140 zenon_Ha9 zenon_H109 zenon_H10e zenon_Ha5 zenon_H1b9 zenon_H1f3 zenon_H121 zenon_H88 zenon_H175 zenon_H13a zenon_Hd3 zenon_H22 zenon_Ha1 zenon_H1f9 zenon_He9 zenon_H40 zenon_H162 zenon_H1f zenon_H117 zenon_H138 zenon_H150 zenon_H15d zenon_H84 zenon_H166 zenon_H2d zenon_Hf5 zenon_H69 zenon_H15e zenon_H200 zenon_H38 zenon_H42 zenon_H31 zenon_H81. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.23 apply (zenon_L291_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.04/11.23 apply (zenon_L56_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.23 apply (zenon_L224_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.23 apply (zenon_L149_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.23 apply (zenon_L333_); trivial. % 11.04/11.23 apply (zenon_L334_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.04/11.23 exact (zenon_H1fd zenon_H23). % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.04/11.23 apply (zenon_L59_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.23 apply (zenon_L224_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.23 apply (zenon_L336_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.23 apply (zenon_L156_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.23 apply (zenon_L273_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.23 exact (zenon_H1f3 zenon_H130). % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.23 apply (zenon_L284_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.23 apply (zenon_L57_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.23 apply (zenon_L337_); trivial. % 11.04/11.23 apply (zenon_L339_); trivial. % 11.04/11.23 apply (zenon_L334_); trivial. % 11.04/11.23 apply (zenon_L134_); trivial. % 11.04/11.23 apply (zenon_L328_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.23 apply (zenon_L71_); trivial. % 11.04/11.23 apply (zenon_L73_); trivial. % 11.04/11.23 (* end of lemma zenon_L340_ *) % 11.04/11.23 assert (zenon_L341_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (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)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e2) (e2)) = (e1))) -> (((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)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (((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 (e3) (e1)) = (e3))) -> False). % 11.04/11.23 do 0 intro. intros zenon_Hbe zenon_H81 zenon_H31 zenon_H38 zenon_H200 zenon_H15e zenon_H69 zenon_Hf5 zenon_H166 zenon_H84 zenon_H15d zenon_H117 zenon_H1f zenon_H162 zenon_H40 zenon_H1f9 zenon_Ha1 zenon_H22 zenon_Hd3 zenon_H13a zenon_H88 zenon_H121 zenon_H1f3 zenon_Ha5 zenon_H10e zenon_H1fd zenon_H1fc zenon_H1a9 zenon_H149 zenon_H14b zenon_H2d zenon_Hea zenon_H67 zenon_H1b9 zenon_H41 zenon_H175 zenon_H11c zenon_He9 zenon_H109 zenon_Ha9 zenon_H170 zenon_H150 zenon_H138 zenon_H140 zenon_H145. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.04/11.23 apply (zenon_L340_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.04/11.23 apply (zenon_L316_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.04/11.23 exact (zenon_H67 zenon_H66). % 11.04/11.23 apply (zenon_L320_); trivial. % 11.04/11.23 (* end of lemma zenon_L341_ *) % 11.04/11.23 assert (zenon_L342_ : (~((op (e1) (op (e1) (e1))) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e3)) -> False). % 11.04/11.23 do 0 intro. intros zenon_H208 zenon_Hca. % 11.04/11.23 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1cc]. % 11.04/11.23 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.23 congruence. % 11.04/11.23 apply zenon_H2f. apply refl_equal. % 11.04/11.23 exact (zenon_H1cc zenon_Hca). % 11.04/11.23 (* end of lemma zenon_L342_ *) % 11.04/11.23 assert (zenon_L343_ : ((op (e1) (e3)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (op (e1) (op (e1) (e1))))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H10c zenon_Hca zenon_H58. % 11.04/11.23 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ]. % 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e2) = (op (e1) (op (e1) (e1))))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H58. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H59. % 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 11.04/11.23 congruence. % 11.04/11.23 cut (((op (e1) (e3)) = (e2)) = ((op (e1) (op (e1) (e1))) = (e2))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H5b. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H10c. % 11.04/11.23 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.23 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 11.04/11.23 congruence. % 11.04/11.23 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ]. % 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e1))))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H209. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H59. % 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H208]. % 11.04/11.23 congruence. % 11.04/11.23 apply (zenon_L342_); trivial. % 11.04/11.23 apply zenon_H5a. apply refl_equal. % 11.04/11.23 apply zenon_H5a. apply refl_equal. % 11.04/11.23 apply zenon_H45. apply refl_equal. % 11.04/11.23 apply zenon_H5a. apply refl_equal. % 11.04/11.23 apply zenon_H5a. apply refl_equal. % 11.04/11.23 (* end of lemma zenon_L343_ *) % 11.04/11.23 assert (zenon_L344_ : ((op (e2) (e1)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> False). % 11.04/11.23 do 0 intro. intros zenon_Ha2 zenon_H10c zenon_Hca. % 11.04/11.23 apply (zenon_notand_s _ _ ax16); [ zenon_intro zenon_H20b | zenon_intro zenon_H20a ]. % 11.04/11.23 apply zenon_H20b. apply sym_equal. exact zenon_Hca. % 11.04/11.23 apply (zenon_notand_s _ _ zenon_H20a); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H58 ]. % 11.04/11.23 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H1e9. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H60. % 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1ea]. % 11.04/11.23 congruence. % 11.04/11.23 cut (((op (e2) (e1)) = (e0)) = ((op (op (e1) (op (e1) (e1))) (e1)) = (e0))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H1ea. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_Ha2. % 11.04/11.23 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.23 cut (((op (e2) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 11.04/11.23 congruence. % 11.04/11.23 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((op (e2) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H63. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H60. % 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.04/11.23 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 11.04/11.23 congruence. % 11.04/11.23 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 11.04/11.23 congruence. % 11.04/11.23 cut (((op (e1) (e3)) = (e2)) = ((op (e1) (op (e1) (e1))) = (e2))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H5b. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H10c. % 11.04/11.23 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.23 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 11.04/11.23 congruence. % 11.04/11.23 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ]. % 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e1))))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H209. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H59. % 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 11.04/11.23 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H208]. % 11.04/11.23 congruence. % 11.04/11.23 apply (zenon_L342_); trivial. % 11.04/11.23 apply zenon_H5a. apply refl_equal. % 11.04/11.23 apply zenon_H5a. apply refl_equal. % 11.04/11.23 apply zenon_H45. apply refl_equal. % 11.04/11.23 apply zenon_H2f. apply refl_equal. % 11.04/11.23 apply zenon_H61. apply refl_equal. % 11.04/11.23 apply zenon_H61. apply refl_equal. % 11.04/11.23 apply zenon_H2b. apply refl_equal. % 11.04/11.23 apply zenon_H61. apply refl_equal. % 11.04/11.23 apply zenon_H61. apply refl_equal. % 11.04/11.23 apply (zenon_L343_); trivial. % 11.04/11.23 (* end of lemma zenon_L344_ *) % 11.04/11.23 assert (zenon_L345_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H13b zenon_Hea zenon_Hcb zenon_He9 zenon_Ha1 zenon_H162 zenon_H95 zenon_H40 zenon_Ha2 zenon_H1f9 zenon_H145. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.23 apply (zenon_L337_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.23 apply (zenon_L303_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.23 apply (zenon_L324_); trivial. % 11.04/11.23 exact (zenon_H145 zenon_H133). % 11.04/11.23 (* end of lemma zenon_L345_ *) % 11.04/11.23 assert (zenon_L346_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((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) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H13a zenon_Ha5 zenon_H121 zenon_H1f3 zenon_Hd3 zenon_H1f7 zenon_H11f zenon_H38 zenon_H145 zenon_H1f9 zenon_Ha2 zenon_H40 zenon_H162 zenon_Ha1 zenon_He9 zenon_Hea zenon_H13b zenon_H10c zenon_H149. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.23 apply (zenon_L81_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.23 apply (zenon_L277_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.23 exact (zenon_H1f3 zenon_H130). % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.23 apply (zenon_L325_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.23 apply (zenon_L344_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.23 apply (zenon_L345_); trivial. % 11.04/11.23 apply (zenon_L308_); trivial. % 11.04/11.23 (* end of lemma zenon_L346_ *) % 11.04/11.23 assert (zenon_L347_ : (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> False). % 11.04/11.23 do 0 intro. intros zenon_H104 zenon_H1f zenon_H123. % 11.04/11.23 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e2) (e0)))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H104. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H1f. % 11.04/11.23 cut (((e1) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H124]. % 11.04/11.23 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f1]. % 11.04/11.23 congruence. % 11.04/11.23 apply zenon_H1f1. apply refl_equal. % 11.04/11.23 apply zenon_H124. apply sym_equal. exact zenon_H123. % 11.04/11.23 (* end of lemma zenon_L347_ *) % 11.04/11.23 assert (zenon_L348_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e1) (e0)) = (e3)) -> False). % 11.04/11.23 do 0 intro. intros zenon_H1d zenon_H37 zenon_H3d. % 11.04/11.23 cut (((op (e0) (e0)) = (e3)) = ((op (e0) (e0)) = (op (e1) (e0)))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H1d. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H37. % 11.04/11.23 cut (((e3) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc9]. % 11.04/11.23 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 11.04/11.23 congruence. % 11.04/11.23 apply zenon_H21. apply refl_equal. % 11.04/11.23 apply zenon_Hc9. apply sym_equal. exact zenon_H3d. % 11.04/11.23 (* end of lemma zenon_L348_ *) % 11.04/11.23 assert (zenon_L349_ : (((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 (e2) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.23 do 0 intro. intros zenon_H20c zenon_Hc5 zenon_H150 zenon_H123 zenon_H104 zenon_H175 zenon_H1d zenon_H37. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ]. % 11.04/11.23 apply (zenon_L127_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ]. % 11.04/11.23 apply (zenon_L347_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ]. % 11.04/11.23 apply (zenon_L281_); trivial. % 11.04/11.23 apply (zenon_L348_); trivial. % 11.04/11.23 (* end of lemma zenon_L349_ *) % 11.04/11.23 assert (zenon_L350_ : ((op (e2) (e0)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H123 zenon_H4c zenon_H38. % 11.04/11.23 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 11.04/11.23 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H38. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H39. % 11.04/11.23 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.23 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.04/11.23 congruence. % 11.04/11.23 cut (((op (e2) (e0)) = (e1)) = ((e3) = (e1))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H3b. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H123. % 11.04/11.23 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.23 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H83]. % 11.04/11.23 congruence. % 11.04/11.23 exact (zenon_H83 zenon_H4c). % 11.04/11.23 apply zenon_H2f. apply refl_equal. % 11.04/11.23 apply zenon_H3a. apply refl_equal. % 11.04/11.23 apply zenon_H3a. apply refl_equal. % 11.04/11.23 (* end of lemma zenon_L350_ *) % 11.04/11.23 assert (zenon_L351_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((e1) = (e2))) -> (((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)) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((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)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H1da zenon_H2a zenon_H149 zenon_Hd3 zenon_H15d zenon_H84 zenon_H166 zenon_Hf5 zenon_H69 zenon_H15e zenon_H22 zenon_H12a zenon_H81 zenon_H31 zenon_Hd9 zenon_H1a9 zenon_H1fc zenon_H1fd zenon_Ha5 zenon_H13a zenon_He9 zenon_H1f3 zenon_H13b zenon_H11f zenon_H1f7 zenon_Ha1 zenon_H162 zenon_H40 zenon_H1f9 zenon_H145 zenon_Hbe zenon_H10e zenon_H67 zenon_H1b9 zenon_H41 zenon_H175 zenon_H109 zenon_Ha9 zenon_H170 zenon_H140 zenon_H1d zenon_H117 zenon_Hd6 zenon_H138 zenon_H88 zenon_H121 zenon_Hc5 zenon_H200 zenon_H38 zenon_H20c zenon_H104 zenon_H14b zenon_H150 zenon_H2d. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.23 exact (zenon_H2a zenon_H1e). % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.23 apply (zenon_L291_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.23 apply (zenon_L296_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.04/11.23 apply (zenon_L58_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.04/11.23 apply (zenon_L329_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.04/11.23 apply (zenon_L56_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.04/11.23 apply (zenon_L330_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.04/11.23 exact (zenon_H1fd zenon_H23). % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.04/11.23 apply (zenon_L59_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.23 apply (zenon_L281_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.23 apply (zenon_L341_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.23 apply (zenon_L81_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.23 apply (zenon_L273_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.23 exact (zenon_H1f3 zenon_H130). % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.04/11.23 apply (zenon_L332_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.04/11.23 apply (zenon_L316_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.04/11.23 exact (zenon_H67 zenon_H66). % 11.04/11.23 apply (zenon_L40_); trivial. % 11.04/11.23 apply (zenon_L346_); trivial. % 11.04/11.23 apply (zenon_L134_); trivial. % 11.04/11.23 apply (zenon_L328_); trivial. % 11.04/11.23 apply (zenon_L116_); trivial. % 11.04/11.23 apply (zenon_L73_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.23 apply (zenon_L349_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.23 apply (zenon_L296_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.04/11.23 apply (zenon_L58_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.04/11.23 apply (zenon_L329_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.04/11.23 apply (zenon_L350_); trivial. % 11.04/11.23 apply (zenon_L116_); trivial. % 11.04/11.23 apply (zenon_L73_); trivial. % 11.04/11.23 apply (zenon_L169_); trivial. % 11.04/11.23 (* end of lemma zenon_L351_ *) % 11.04/11.23 assert (zenon_L352_ : (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> False). % 11.04/11.23 do 0 intro. intros zenon_H1f0 zenon_He5 zenon_Hea. % 11.04/11.23 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e2)))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H1f0. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_He5. % 11.04/11.23 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 11.04/11.23 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f1]. % 11.04/11.23 congruence. % 11.04/11.23 apply zenon_H1f1. apply refl_equal. % 11.04/11.23 apply zenon_Heb. apply sym_equal. exact zenon_Hea. % 11.04/11.23 (* end of lemma zenon_L352_ *) % 11.04/11.23 assert (zenon_L353_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e3) (e1)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> False). % 11.04/11.23 do 0 intro. intros zenon_H20f zenon_He5 zenon_H1f0 zenon_H85 zenon_H19c zenon_He9 zenon_H163 zenon_H11c. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_Hea | zenon_intro zenon_H210 ]. % 11.04/11.23 apply (zenon_L352_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H211 ]. % 11.04/11.23 apply (zenon_L167_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H10d | zenon_intro zenon_Hcb ]. % 11.04/11.23 apply (zenon_L273_); trivial. % 11.04/11.23 apply (zenon_L288_); trivial. % 11.04/11.23 (* end of lemma zenon_L353_ *) % 11.04/11.23 assert (zenon_L354_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e1)) -> (~((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)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H166 zenon_H145 zenon_H140 zenon_H9c zenon_H138 zenon_H170 zenon_H11c zenon_He9 zenon_H19c zenon_H85 zenon_H1f0 zenon_He5 zenon_H20f zenon_Ha9 zenon_Hf5 zenon_H31 zenon_H69. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.04/11.23 apply (zenon_L319_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.04/11.23 apply (zenon_L353_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.04/11.23 apply (zenon_L65_); trivial. % 11.04/11.23 apply (zenon_L21_); trivial. % 11.04/11.23 (* end of lemma zenon_L354_ *) % 11.04/11.23 assert (zenon_L355_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H15e zenon_H81 zenon_H175 zenon_H11f zenon_H38 zenon_H149 zenon_H14b zenon_H2d zenon_H163 zenon_H69 zenon_H31 zenon_Hf5 zenon_Ha9 zenon_H20f zenon_He5 zenon_H1f0 zenon_H19c zenon_He9 zenon_H11c zenon_H170 zenon_H138 zenon_H9c zenon_H140 zenon_H145 zenon_H166 zenon_H15d. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.23 apply (zenon_L297_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.23 apply (zenon_L213_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.23 apply (zenon_L354_); trivial. % 11.04/11.23 exact (zenon_H15d zenon_H6e). % 11.04/11.23 (* end of lemma zenon_L355_ *) % 11.04/11.23 assert (zenon_L356_ : (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (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) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((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 (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H2d zenon_H14b zenon_H104 zenon_H20c zenon_H38 zenon_H200 zenon_Hc5 zenon_H121 zenon_H88 zenon_H138 zenon_Hd6 zenon_H117 zenon_H1d zenon_H140 zenon_H170 zenon_H175 zenon_H41 zenon_H1b9 zenon_H67 zenon_H10e zenon_Hbe zenon_H145 zenon_H1f9 zenon_H40 zenon_H162 zenon_Ha1 zenon_H1f7 zenon_H11f zenon_H13b zenon_H1f3 zenon_He9 zenon_H13a zenon_Ha5 zenon_H1fd zenon_H1fc zenon_H1a9 zenon_Hd9 zenon_H81 zenon_H12a zenon_H22 zenon_H15e zenon_H166 zenon_H84 zenon_H15d zenon_Hd3 zenon_H149 zenon_H2a zenon_H1da zenon_H109 zenon_H95 zenon_Ha9 zenon_Hf5 zenon_H31 zenon_H69. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.04/11.23 apply (zenon_L351_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.04/11.23 apply (zenon_L275_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.04/11.23 apply (zenon_L65_); trivial. % 11.04/11.23 apply (zenon_L21_); trivial. % 11.04/11.23 (* end of lemma zenon_L356_ *) % 11.04/11.23 assert (zenon_L357_ : ((op (e1) (e3)) = (e2)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (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) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((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 (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H10c zenon_H2d zenon_H14b zenon_H104 zenon_H20c zenon_H38 zenon_H200 zenon_Hc5 zenon_H121 zenon_H88 zenon_H138 zenon_Hd6 zenon_H117 zenon_H1d zenon_H140 zenon_H170 zenon_H175 zenon_H41 zenon_H1b9 zenon_H67 zenon_H10e zenon_Hbe zenon_H145 zenon_H1f9 zenon_H40 zenon_H162 zenon_Ha1 zenon_H1f7 zenon_H11f zenon_H13b zenon_H1f3 zenon_He9 zenon_H13a zenon_Ha5 zenon_H1fd zenon_H1fc zenon_H1a9 zenon_Hd9 zenon_H81 zenon_H12a zenon_H22 zenon_H15e zenon_H166 zenon_H84 zenon_H15d zenon_Hd3 zenon_H149 zenon_H2a zenon_H1da zenon_H109 zenon_Ha9 zenon_Hf5 zenon_H31 zenon_H69. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.23 apply (zenon_L156_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.23 apply (zenon_L277_); trivial. % 11.04/11.23 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.23 exact (zenon_H1f3 zenon_H130). % 11.04/11.23 apply (zenon_L356_); trivial. % 11.04/11.23 (* end of lemma zenon_L357_ *) % 11.04/11.23 assert (zenon_L358_ : ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (~((e1) = (op (e2) (op (e2) (e2))))) -> False). % 11.04/11.23 do 0 intro. intros zenon_H123 zenon_Ha9 zenon_H212. % 11.04/11.23 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 11.04/11.23 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e1) = (op (e2) (op (e2) (e2))))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H212. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_Had. % 11.04/11.23 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.04/11.23 cut (((op (e2) (op (e2) (e2))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H213]. % 11.04/11.23 congruence. % 11.04/11.23 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (op (e2) (e2))) = (e1))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_H213. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_H123. % 11.04/11.23 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.23 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hb0]. % 11.04/11.23 congruence. % 11.04/11.23 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 11.04/11.23 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e2))))). % 11.04/11.23 intro zenon_D_pnotp. % 11.04/11.23 apply zenon_Hb0. % 11.04/11.23 rewrite <- zenon_D_pnotp. % 11.04/11.23 exact zenon_Had. % 11.04/11.23 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.04/11.23 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hab]. % 11.04/11.23 congruence. % 11.04/11.23 apply (zenon_L38_); trivial. % 11.04/11.23 apply zenon_Hae. apply refl_equal. % 11.04/11.23 apply zenon_Hae. apply refl_equal. % 11.04/11.23 apply zenon_H2f. apply refl_equal. % 11.04/11.23 apply zenon_Hae. apply refl_equal. % 11.04/11.23 apply zenon_Hae. apply refl_equal. % 11.04/11.23 (* end of lemma zenon_L358_ *) % 11.04/11.23 assert (zenon_L359_ : ((op (e1) (e2)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> False). % 11.04/11.23 do 0 intro. intros zenon_Hcb zenon_H123 zenon_Ha9. % 11.04/11.24 apply (zenon_notand_s _ _ ax19); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H214 ]. % 11.04/11.24 apply zenon_Hb2. apply sym_equal. exact zenon_Ha9. % 11.04/11.24 apply (zenon_notand_s _ _ zenon_H214); [ zenon_intro zenon_H215 | zenon_intro zenon_H212 ]. % 11.04/11.24 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ]. % 11.04/11.24 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H215. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_Hb4. % 11.04/11.24 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5]. % 11.04/11.24 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H216]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((op (e1) (e2)) = (e3)) = ((op (op (e2) (op (e2) (e2))) (e2)) = (e3))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H216. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_Hcb. % 11.04/11.24 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.24 cut (((op (e1) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H217]. % 11.04/11.24 congruence. % 11.04/11.24 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ]. % 11.04/11.24 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((op (e1) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H217. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_Hb4. % 11.04/11.24 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5]. % 11.04/11.24 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H218]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.24 cut (((op (e2) (op (e2) (e2))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H213]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (op (e2) (e2))) = (e1))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H213. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H123. % 11.04/11.24 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.24 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hb0]. % 11.04/11.24 congruence. % 11.04/11.24 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 11.04/11.24 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e2))))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_Hb0. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_Had. % 11.04/11.24 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.04/11.24 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hab]. % 11.04/11.24 congruence. % 11.04/11.24 apply (zenon_L38_); trivial. % 11.04/11.24 apply zenon_Hae. apply refl_equal. % 11.04/11.24 apply zenon_Hae. apply refl_equal. % 11.04/11.24 apply zenon_H2f. apply refl_equal. % 11.04/11.24 apply zenon_H45. apply refl_equal. % 11.04/11.24 apply zenon_Hb5. apply refl_equal. % 11.04/11.24 apply zenon_Hb5. apply refl_equal. % 11.04/11.24 apply zenon_H3a. apply refl_equal. % 11.04/11.24 apply zenon_Hb5. apply refl_equal. % 11.04/11.24 apply zenon_Hb5. apply refl_equal. % 11.04/11.24 apply (zenon_L358_); trivial. % 11.04/11.24 (* end of lemma zenon_L359_ *) % 11.04/11.24 assert (zenon_L360_ : (((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) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.04/11.24 do 0 intro. intros zenon_Hd3 zenon_Hc5 zenon_Hc4 zenon_H11c zenon_H149 zenon_Ha9 zenon_H123 zenon_H6f zenon_H38. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.24 apply (zenon_L43_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.24 apply (zenon_L285_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.24 apply (zenon_L359_); trivial. % 11.04/11.24 apply (zenon_L47_); trivial. % 11.04/11.24 (* end of lemma zenon_L360_ *) % 11.04/11.24 assert (zenon_L361_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (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 (e3) (e0)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H1da zenon_H2a zenon_H81 zenon_Hd9 zenon_He5 zenon_H14b zenon_Hd6 zenon_Hc5 zenon_H40 zenon_H1dd zenon_H117 zenon_H1d zenon_H38 zenon_H149 zenon_Hd3 zenon_H15d zenon_H84 zenon_H42 zenon_H13a zenon_H175 zenon_H88 zenon_He9 zenon_H1f3 zenon_H166 zenon_H2d zenon_H109 zenon_Ha9 zenon_Hf5 zenon_H31 zenon_H69 zenon_H15e zenon_Ha5. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.24 exact (zenon_H2a zenon_H1e). % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.24 apply (zenon_L56_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.24 apply (zenon_L291_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.04/11.24 apply (zenon_L28_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.04/11.24 apply (zenon_L284_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.04/11.24 apply (zenon_L350_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.24 apply (zenon_L56_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.24 exact (zenon_H40 zenon_H3f). % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.24 apply (zenon_L280_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.24 apply (zenon_L281_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.24 apply (zenon_L360_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.24 apply (zenon_L333_); trivial. % 11.04/11.24 apply (zenon_L78_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.24 apply (zenon_L71_); trivial. % 11.04/11.24 apply (zenon_L73_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.24 apply (zenon_L310_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.24 exact (zenon_H40 zenon_H3f). % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.24 apply (zenon_L280_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.24 apply (zenon_L281_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.24 apply (zenon_L300_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.24 apply (zenon_L333_); trivial. % 11.04/11.24 apply (zenon_L78_); trivial. % 11.04/11.24 (* end of lemma zenon_L361_ *) % 11.04/11.24 assert (zenon_L362_ : (((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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e1)) -> (~((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)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H1b9 zenon_H41 zenon_H175 zenon_H1f9 zenon_Ha2 zenon_H40 zenon_H162 zenon_Ha1 zenon_H3d zenon_H1f7 zenon_H11f zenon_H38 zenon_H13b zenon_H1f3 zenon_Ha5 zenon_H13a zenon_H109 zenon_H166 zenon_H145 zenon_H140 zenon_H138 zenon_H170 zenon_H11c zenon_He9 zenon_H19c zenon_H85 zenon_H1f0 zenon_He5 zenon_H20f zenon_Ha9 zenon_Hf5 zenon_H31 zenon_H69. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.04/11.24 apply (zenon_L318_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.04/11.24 apply (zenon_L326_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.04/11.24 apply (zenon_L139_); trivial. % 11.04/11.24 apply (zenon_L354_); trivial. % 11.04/11.24 (* end of lemma zenon_L362_ *) % 11.04/11.24 assert (zenon_L363_ : ((op (e1) (e2)) = (e2)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (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) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((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 (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H10d zenon_H2d zenon_H14b zenon_H104 zenon_H20c zenon_H38 zenon_H200 zenon_Hc5 zenon_H121 zenon_H88 zenon_H138 zenon_Hd6 zenon_H117 zenon_H1d zenon_H140 zenon_H170 zenon_H175 zenon_H41 zenon_H1b9 zenon_H67 zenon_H10e zenon_Hbe zenon_H145 zenon_H1f9 zenon_H40 zenon_H162 zenon_Ha1 zenon_H1f7 zenon_H11f zenon_H13b zenon_H1f3 zenon_He9 zenon_H13a zenon_Ha5 zenon_H1fd zenon_H1fc zenon_H1a9 zenon_Hd9 zenon_H81 zenon_H12a zenon_H22 zenon_H15e zenon_H166 zenon_H84 zenon_H15d zenon_Hd3 zenon_H149 zenon_H2a zenon_H1da zenon_H109 zenon_Ha9 zenon_Hf5 zenon_H31 zenon_H69. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.24 apply (zenon_L81_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.24 apply (zenon_L273_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.24 exact (zenon_H1f3 zenon_H130). % 11.04/11.24 apply (zenon_L356_); trivial. % 11.04/11.24 (* end of lemma zenon_L363_ *) % 11.04/11.24 assert (zenon_L364_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H13a zenon_H175 zenon_H88 zenon_H10d zenon_He9 zenon_H1f3 zenon_H163 zenon_H109. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.24 apply (zenon_L156_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.24 apply (zenon_L273_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.24 exact (zenon_H1f3 zenon_H130). % 11.04/11.24 apply (zenon_L275_); trivial. % 11.04/11.24 (* end of lemma zenon_L364_ *) % 11.04/11.24 assert (zenon_L365_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((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 (e3) (e0)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H14b zenon_H1d zenon_H104 zenon_Hc5 zenon_H20c zenon_H150 zenon_H123 zenon_H175 zenon_H88 zenon_Hd9 zenon_H38 zenon_H42 zenon_H31 zenon_H81. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.24 apply (zenon_L349_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.04/11.24 apply (zenon_L28_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.04/11.24 apply (zenon_L284_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.04/11.24 apply (zenon_L350_); trivial. % 11.04/11.24 apply (zenon_L116_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.24 apply (zenon_L71_); trivial. % 11.04/11.24 apply (zenon_L73_); trivial. % 11.04/11.24 (* end of lemma zenon_L365_ *) % 11.04/11.24 assert (zenon_L366_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((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 (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((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) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H1da zenon_H2a zenon_H200 zenon_H15e zenon_H69 zenon_Hf5 zenon_H166 zenon_H84 zenon_H15d zenon_H138 zenon_H117 zenon_H162 zenon_H40 zenon_He9 zenon_H1f9 zenon_Ha1 zenon_H22 zenon_Hd3 zenon_H13a zenon_H121 zenon_H1f3 zenon_H1b9 zenon_Ha5 zenon_H10e zenon_H109 zenon_Ha9 zenon_H140 zenon_H1fd zenon_H1fc zenon_H1a9 zenon_H149 zenon_H81 zenon_H31 zenon_H42 zenon_H38 zenon_Hd9 zenon_H88 zenon_H175 zenon_H20c zenon_Hc5 zenon_H104 zenon_H1d zenon_H14b zenon_H150 zenon_H2d. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.24 exact (zenon_H2a zenon_H1e). % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.24 apply (zenon_L340_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.24 apply (zenon_L365_); trivial. % 11.04/11.24 apply (zenon_L169_); trivial. % 11.04/11.24 (* end of lemma zenon_L366_ *) % 11.04/11.24 assert (zenon_L367_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((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 (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (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 (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H219 zenon_Hd6 zenon_H170 zenon_H41 zenon_H67 zenon_Hbe zenon_H145 zenon_H1f7 zenon_H13b zenon_H12a zenon_H150 zenon_H14b zenon_H1d zenon_H104 zenon_Hc5 zenon_H20c zenon_H175 zenon_H88 zenon_Hd9 zenon_H38 zenon_H81 zenon_H149 zenon_H1a9 zenon_H1fc zenon_H1fd zenon_H140 zenon_Ha9 zenon_H109 zenon_H10e zenon_Ha5 zenon_H1b9 zenon_H1f3 zenon_H121 zenon_H13a zenon_Hd3 zenon_H22 zenon_Ha1 zenon_H1f9 zenon_He9 zenon_H40 zenon_H162 zenon_H117 zenon_H138 zenon_H15d zenon_H84 zenon_H166 zenon_Hf5 zenon_H69 zenon_H15e zenon_H200 zenon_H2a zenon_H1da zenon_H31 zenon_H2d. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.04/11.24 exact (zenon_H2a zenon_H1e). % 11.04/11.24 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.04/11.24 apply (zenon_L351_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.04/11.24 apply (zenon_L366_); trivial. % 11.04/11.24 apply (zenon_L301_); trivial. % 11.04/11.24 (* end of lemma zenon_L367_ *) % 11.04/11.24 assert (zenon_L368_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e3)) = (e1))) -> (((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)))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H117 zenon_H1d zenon_H15d zenon_H20f zenon_He5 zenon_H1f0 zenon_H19c zenon_H2d zenon_Hc4 zenon_H38 zenon_H15e zenon_He9 zenon_H13a zenon_H175 zenon_H88 zenon_H121 zenon_H1f3 zenon_H163 zenon_H109. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.24 apply (zenon_L281_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.24 apply (zenon_L239_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.24 apply (zenon_L213_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.24 apply (zenon_L353_); trivial. % 11.04/11.24 exact (zenon_H15d zenon_H6e). % 11.04/11.24 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.24 apply (zenon_L364_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.24 apply (zenon_L156_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.24 apply (zenon_L277_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.24 exact (zenon_H1f3 zenon_H130). % 11.04/11.24 apply (zenon_L275_); trivial. % 11.04/11.24 (* end of lemma zenon_L368_ *) % 11.04/11.24 assert (zenon_L369_ : ((op (e3) (e3)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H6e zenon_H85 zenon_H1ca. % 11.04/11.24 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ]. % 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e2)) = (op (e3) (e3)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H1ca. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H6a. % 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((op (e3) (e3)) = (e1)) = ((op (e3) (e3)) = (op (e3) (e2)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H1cb. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H6e. % 11.04/11.24 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.24 congruence. % 11.04/11.24 apply zenon_H6b. apply refl_equal. % 11.04/11.24 apply zenon_H86. apply sym_equal. exact zenon_H85. % 11.04/11.24 apply zenon_H6b. apply refl_equal. % 11.04/11.24 apply zenon_H6b. apply refl_equal. % 11.04/11.24 (* end of lemma zenon_L369_ *) % 11.04/11.24 assert (zenon_L370_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.04/11.24 do 0 intro. intros zenon_H1f4 zenon_H150 zenon_H158 zenon_H1ca zenon_H6e zenon_H95 zenon_H140 zenon_H84 zenon_Hdc. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ]. % 11.04/11.24 apply (zenon_L121_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ]. % 11.04/11.24 apply (zenon_L369_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ]. % 11.04/11.24 apply (zenon_L174_); trivial. % 11.04/11.24 apply (zenon_L131_); trivial. % 11.04/11.24 (* end of lemma zenon_L370_ *) % 11.04/11.24 assert (zenon_L371_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.04/11.24 do 0 intro. intros zenon_H13a zenon_Ha5 zenon_H11f zenon_H10d zenon_He9 zenon_H1f3 zenon_H1f4 zenon_H150 zenon_H158 zenon_H1ca zenon_H6e zenon_H140 zenon_H84 zenon_Hdc. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.24 apply (zenon_L81_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.24 apply (zenon_L273_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.24 exact (zenon_H1f3 zenon_H130). % 11.04/11.24 apply (zenon_L370_); trivial. % 11.04/11.24 (* end of lemma zenon_L371_ *) % 11.04/11.24 assert (zenon_L372_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.04/11.24 do 0 intro. intros zenon_H13a zenon_H175 zenon_H88 zenon_H10c zenon_H121 zenon_H1f3 zenon_H1f4 zenon_H150 zenon_H158 zenon_H1ca zenon_H6e zenon_H140 zenon_H84 zenon_Hdc. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.24 apply (zenon_L156_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.24 apply (zenon_L277_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.24 exact (zenon_H1f3 zenon_H130). % 11.04/11.24 apply (zenon_L370_); trivial. % 11.04/11.24 (* end of lemma zenon_L372_ *) % 11.04/11.24 assert (zenon_L373_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.04/11.24 do 0 intro. intros zenon_H117 zenon_H1d zenon_H24 zenon_H109 zenon_He9 zenon_H11f zenon_Ha5 zenon_H13a zenon_H175 zenon_H88 zenon_H121 zenon_H1f3 zenon_H1f4 zenon_H150 zenon_H158 zenon_H1ca zenon_H6e zenon_H140 zenon_H84 zenon_Hdc. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.24 apply (zenon_L281_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.24 apply (zenon_L149_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.24 apply (zenon_L371_); trivial. % 11.04/11.24 apply (zenon_L372_); trivial. % 11.04/11.24 (* end of lemma zenon_L373_ *) % 11.04/11.24 assert (zenon_L374_ : (((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) (e1)) = (e1))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.24 do 0 intro. intros zenon_Hd6 zenon_H123 zenon_H104 zenon_H40 zenon_H2d zenon_Hea zenon_H6e zenon_H70. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.24 apply (zenon_L347_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.24 exact (zenon_H40 zenon_H3f). % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.24 apply (zenon_L316_); trivial. % 11.04/11.24 apply (zenon_L22_); trivial. % 11.04/11.24 (* end of lemma zenon_L374_ *) % 11.04/11.24 assert (zenon_L375_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (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))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.04/11.24 do 0 intro. intros zenon_H200 zenon_Hc5 zenon_Hdc zenon_H84 zenon_H140 zenon_H1ca zenon_H158 zenon_H150 zenon_H1f4 zenon_H1f3 zenon_H121 zenon_H88 zenon_H175 zenon_H13a zenon_Ha5 zenon_H11f zenon_He9 zenon_H109 zenon_H1d zenon_H117 zenon_H70 zenon_H6e zenon_H2d zenon_H40 zenon_H104 zenon_H123 zenon_Hd6 zenon_H1a9 zenon_H31. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.04/11.24 apply (zenon_L127_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.04/11.24 apply (zenon_L373_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.04/11.24 apply (zenon_L374_); trivial. % 11.04/11.24 apply (zenon_L328_); trivial. % 11.04/11.24 (* end of lemma zenon_L375_ *) % 11.04/11.24 assert (zenon_L376_ : ((op (e3) (e3)) = (e1)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H6e zenon_H156 zenon_H169. % 11.04/11.24 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ]. % 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e0)) = (op (e3) (e3)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H169. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H6a. % 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H16a]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((op (e3) (e3)) = (e1)) = ((op (e3) (e3)) = (op (e3) (e0)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H16a. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H6e. % 11.04/11.24 cut (((e1) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H157]. % 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.24 congruence. % 11.04/11.24 apply zenon_H6b. apply refl_equal. % 11.04/11.24 apply zenon_H157. apply sym_equal. exact zenon_H156. % 11.04/11.24 apply zenon_H6b. apply refl_equal. % 11.04/11.24 apply zenon_H6b. apply refl_equal. % 11.04/11.24 (* end of lemma zenon_L376_ *) % 11.04/11.24 assert (zenon_L377_ : ((op (e3) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H6e zenon_H18e zenon_H75. % 11.04/11.24 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ]. % 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e2) (e3)) = (op (e3) (e3)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H75. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H6a. % 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.24 cut (((op (e3) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((op (e3) (e3)) = (e1)) = ((op (e3) (e3)) = (op (e2) (e3)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H76. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H6e. % 11.04/11.24 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a3]. % 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.24 congruence. % 11.04/11.24 apply zenon_H6b. apply refl_equal. % 11.04/11.24 apply zenon_H1a3. apply sym_equal. exact zenon_H18e. % 11.04/11.24 apply zenon_H6b. apply refl_equal. % 11.04/11.24 apply zenon_H6b. apply refl_equal. % 11.04/11.24 (* end of lemma zenon_L377_ *) % 11.04/11.24 assert (zenon_L378_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (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) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H14b zenon_H149 zenon_H38 zenon_H1a9 zenon_H1d4 zenon_H70 zenon_H2d zenon_H40 zenon_H104 zenon_Hd6 zenon_H11f zenon_H12d zenon_H67 zenon_H6e zenon_H75 zenon_H117 zenon_H1d zenon_H109 zenon_He9 zenon_Ha5 zenon_H13a zenon_H175 zenon_H88 zenon_H121 zenon_H1f3 zenon_H1f4 zenon_H150 zenon_H158 zenon_H1ca zenon_H140 zenon_H84 zenon_H1f zenon_H200 zenon_H31 zenon_H81. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.24 apply (zenon_L291_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.24 apply (zenon_L296_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.04/11.24 apply (zenon_L56_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.04/11.24 apply (zenon_L373_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ]. % 11.04/11.24 apply (zenon_L374_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ]. % 11.04/11.24 apply (zenon_L89_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ]. % 11.04/11.24 exact (zenon_H67 zenon_H66). % 11.04/11.24 apply (zenon_L377_); trivial. % 11.04/11.24 apply (zenon_L328_); trivial. % 11.04/11.24 apply (zenon_L73_); trivial. % 11.04/11.24 (* end of lemma zenon_L378_ *) % 11.04/11.24 assert (zenon_L379_ : ((~((op (e2) (e1)) = (e2)))\/((op (e2) (e2)) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e1))) -> ((op (e2) (e1)) = (e2)) -> False). % 11.04/11.24 do 0 intro. intros zenon_H21c zenon_Ha9 zenon_H2d zenon_H130. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ]. % 11.04/11.24 exact (zenon_H1f3 zenon_H130). % 11.04/11.24 apply (zenon_L37_); trivial. % 11.04/11.24 (* end of lemma zenon_L379_ *) % 11.04/11.24 assert (zenon_L380_ : ((op (e1) (e1)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H3f zenon_H11f zenon_H22. % 11.04/11.24 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_He7 | zenon_intro zenon_Ha4 ]. % 11.04/11.24 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e0) (e1)) = (op (e1) (e1)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H22. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_He7. % 11.04/11.24 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 11.04/11.24 cut (((op (e1) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He8]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e0) (e1)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_He8. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H3f. % 11.04/11.24 cut (((e1) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21d]. % 11.04/11.24 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 11.04/11.24 congruence. % 11.04/11.24 apply zenon_Ha4. apply refl_equal. % 11.04/11.24 apply zenon_H21d. apply sym_equal. exact zenon_H11f. % 11.04/11.24 apply zenon_Ha4. apply refl_equal. % 11.04/11.24 apply zenon_Ha4. apply refl_equal. % 11.04/11.24 (* end of lemma zenon_L380_ *) % 11.04/11.24 assert (zenon_L381_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False). % 11.04/11.24 do 0 intro. intros zenon_H162 zenon_H3f zenon_H141. % 11.04/11.24 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e3) (e1)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H162. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H3f. % 11.04/11.24 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 11.04/11.24 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 11.04/11.24 congruence. % 11.04/11.24 apply zenon_Ha4. apply refl_equal. % 11.04/11.24 apply zenon_H159. apply sym_equal. exact zenon_H141. % 11.04/11.24 (* end of lemma zenon_L381_ *) % 11.04/11.24 assert (zenon_L382_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H15e zenon_H38 zenon_Hc4 zenon_H3f zenon_H162 zenon_H42 zenon_H84 zenon_H15d. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.24 apply (zenon_L239_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.24 apply (zenon_L381_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.24 apply (zenon_L27_); trivial. % 11.04/11.24 exact (zenon_H15d zenon_H6e). % 11.04/11.24 (* end of lemma zenon_L382_ *) % 11.04/11.24 assert (zenon_L383_ : ((op (e1) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H3f zenon_H1f zenon_H1f7. % 11.04/11.24 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_He7 | zenon_intro zenon_Ha4 ]. % 11.04/11.24 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e1) (e0)) = (op (e1) (e1)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H1f7. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_He7. % 11.04/11.24 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 11.04/11.24 cut (((op (e1) (e1)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f8]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e1) (e0)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H1f8. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H3f. % 11.04/11.24 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 11.04/11.24 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 11.04/11.24 congruence. % 11.04/11.24 apply zenon_Ha4. apply refl_equal. % 11.04/11.24 apply zenon_H20. apply sym_equal. exact zenon_H1f. % 11.04/11.24 apply zenon_Ha4. apply refl_equal. % 11.04/11.24 apply zenon_Ha4. apply refl_equal. % 11.04/11.24 (* end of lemma zenon_L383_ *) % 11.04/11.24 assert (zenon_L384_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e0) (e1)) = (e0)))\/((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((~((op (e2) (e1)) = (e2)))\/((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((~((op (e3) (e1)) = (e3)))\/((op (e3) (e3)) = (e1))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H21e zenon_H21f zenon_H173 zenon_H32 zenon_H219 zenon_H2d zenon_H14b zenon_H81 zenon_H88 zenon_H38 zenon_H15e zenon_H84 zenon_H162 zenon_Hd9 zenon_H149 zenon_H13a zenon_Hf5 zenon_H69 zenon_H166 zenon_Ha5 zenon_H1da zenon_H3f zenon_H22 zenon_H2a zenon_Hec zenon_H1f7 zenon_Hc5 zenon_H104 zenon_H1d zenon_H20c zenon_H16f zenon_Ha9 zenon_Hdd zenon_H175 zenon_H109 zenon_H21c zenon_H132 zenon_H220 zenon_H221. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ]. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ]. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ]. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ]. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.04/11.24 apply (zenon_L312_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.04/11.24 exact (zenon_H1fd zenon_H23). % 11.04/11.24 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.04/11.24 apply (zenon_L155_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.04/11.24 apply (zenon_L6_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.04/11.24 exact (zenon_H2a zenon_H1e). % 11.04/11.24 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.04/11.24 apply (zenon_L380_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.24 exact (zenon_H2a zenon_H1e). % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.24 apply (zenon_L56_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.24 apply (zenon_L291_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.04/11.24 apply (zenon_L28_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.04/11.24 apply (zenon_L284_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.04/11.24 apply (zenon_L350_); trivial. % 11.04/11.24 apply (zenon_L382_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.24 apply (zenon_L71_); trivial. % 11.04/11.24 apply (zenon_L73_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.24 apply (zenon_L156_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.24 apply (zenon_L272_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.24 exact (zenon_H1f3 zenon_H130). % 11.04/11.24 apply (zenon_L298_); trivial. % 11.04/11.24 apply (zenon_L301_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.04/11.24 apply (zenon_L60_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.04/11.24 exact (zenon_H2a zenon_H1e). % 11.04/11.24 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.04/11.24 apply (zenon_L380_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.24 exact (zenon_H2a zenon_H1e). % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.24 apply (zenon_L383_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.04/11.24 apply (zenon_L349_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.04/11.24 apply (zenon_L284_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.04/11.24 apply (zenon_L350_); trivial. % 11.04/11.24 apply (zenon_L382_); trivial. % 11.04/11.24 apply (zenon_L169_); trivial. % 11.04/11.24 apply (zenon_L301_); trivial. % 11.04/11.24 exact (zenon_H67 zenon_H66). % 11.04/11.24 exact (zenon_H2a zenon_H1e). % 11.04/11.24 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ]. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ]. % 11.04/11.24 exact (zenon_H145 zenon_H133). % 11.04/11.24 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.04/11.24 apply (zenon_L312_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.04/11.24 exact (zenon_H1fd zenon_H23). % 11.04/11.24 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.04/11.24 apply (zenon_L155_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.04/11.24 exact (zenon_H2a zenon_H1e). % 11.04/11.24 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.04/11.24 apply (zenon_L380_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.04/11.24 apply (zenon_L304_); trivial. % 11.04/11.24 apply (zenon_L237_); trivial. % 11.04/11.24 exact (zenon_H2a zenon_H1e). % 11.04/11.24 apply (zenon_L379_); trivial. % 11.04/11.24 (* end of lemma zenon_L384_ *) % 11.04/11.24 assert (zenon_L385_ : ((~((op (e0) (e1)) = (e0)))\/((op (e0) (e0)) = (e1))) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e0)) -> False). % 11.04/11.24 do 0 intro. intros zenon_H21f zenon_H175 zenon_Ha5 zenon_H23. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ]. % 11.04/11.24 exact (zenon_H1fd zenon_H23). % 11.04/11.24 apply (zenon_L151_); trivial. % 11.04/11.24 (* end of lemma zenon_L385_ *) % 11.04/11.24 assert (zenon_L386_ : (((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\(((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2)))))))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e2)) -> False). % 11.04/11.24 do 0 intro. intros zenon_H222 zenon_Ha9 zenon_Hdd zenon_H175. % 11.04/11.24 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H224. zenon_intro zenon_H223. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H171 | zenon_intro zenon_He3 ]. % 11.04/11.24 exact (zenon_H171 zenon_H175). % 11.04/11.24 apply (zenon_L155_); trivial. % 11.04/11.24 (* end of lemma zenon_L386_ *) % 11.04/11.24 assert (zenon_L387_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.04/11.24 do 0 intro. intros zenon_Hd9 zenon_H3c zenon_H175 zenon_H225 zenon_H38 zenon_H42 zenon_Ha9 zenon_H123 zenon_H1a4 zenon_H158. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.04/11.24 exact (zenon_H3c zenon_H37). % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.04/11.24 apply (zenon_L284_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.04/11.24 apply (zenon_L350_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ]. % 11.04/11.24 apply (zenon_L71_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ]. % 11.04/11.24 apply (zenon_L359_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ]. % 11.04/11.24 exact (zenon_H1a4 zenon_H65). % 11.04/11.24 apply (zenon_L123_); trivial. % 11.04/11.24 (* end of lemma zenon_L387_ *) % 11.04/11.24 assert (zenon_L388_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H23 zenon_H46 zenon_H109. % 11.04/11.24 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ]. % 11.04/11.24 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H109. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_Ha6. % 11.04/11.24 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.24 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H10a]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((op (e0) (e1)) = (e0)) = ((e2) = (e0))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H10a. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H23. % 11.04/11.24 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.24 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H120]. % 11.04/11.24 congruence. % 11.04/11.24 exact (zenon_H120 zenon_H46). % 11.04/11.24 apply zenon_H2b. apply refl_equal. % 11.04/11.24 apply zenon_H45. apply refl_equal. % 11.04/11.24 apply zenon_H45. apply refl_equal. % 11.04/11.24 (* end of lemma zenon_L388_ *) % 11.04/11.24 assert (zenon_L389_ : ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H130 zenon_H5d zenon_H149. % 11.04/11.24 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 11.04/11.24 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H149. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H39. % 11.04/11.24 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.24 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H14a]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((op (e2) (e1)) = (e2)) = ((e3) = (e2))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H14a. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H130. % 11.04/11.24 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.24 cut (((op (e2) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H228]. % 11.04/11.24 congruence. % 11.04/11.24 exact (zenon_H228 zenon_H5d). % 11.04/11.24 apply zenon_H45. apply refl_equal. % 11.04/11.24 apply zenon_H3a. apply refl_equal. % 11.04/11.24 apply zenon_H3a. apply refl_equal. % 11.04/11.24 (* end of lemma zenon_L389_ *) % 11.04/11.24 assert (zenon_L390_ : ((op (e3) (e0)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> (~((e1) = (op (e3) (op (e3) (e3))))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H156 zenon_H68 zenon_H229. % 11.04/11.24 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ]. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e1) = (op (e3) (op (e3) (e3))))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H229. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H18a. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22a]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (op (e3) (e3))) = (e1))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H22a. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H156. % 11.04/11.24 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.24 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18d]. % 11.04/11.24 congruence. % 11.04/11.24 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ]. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e3))))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H18d. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H18a. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H188]. % 11.04/11.24 congruence. % 11.04/11.24 apply (zenon_L159_); trivial. % 11.04/11.24 apply zenon_H18b. apply refl_equal. % 11.04/11.24 apply zenon_H18b. apply refl_equal. % 11.04/11.24 apply zenon_H2f. apply refl_equal. % 11.04/11.24 apply zenon_H18b. apply refl_equal. % 11.04/11.24 apply zenon_H18b. apply refl_equal. % 11.04/11.24 (* end of lemma zenon_L390_ *) % 11.04/11.24 assert (zenon_L391_ : ((op (e1) (e3)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> False). % 11.04/11.24 do 0 intro. intros zenon_H10c zenon_H156 zenon_H68. % 11.04/11.24 apply (zenon_notand_s _ _ ax25); [ zenon_intro zenon_H190 | zenon_intro zenon_H22b ]. % 11.04/11.24 apply zenon_H190. apply sym_equal. exact zenon_H68. % 11.04/11.24 apply (zenon_notand_s _ _ zenon_H22b); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H229 ]. % 11.04/11.24 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ]. % 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H1c0. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H192. % 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193]. % 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1c1]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((op (e1) (e3)) = (e2)) = ((op (op (e3) (op (e3) (e3))) (e3)) = (e2))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H1c1. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H10c. % 11.04/11.24 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.24 cut (((op (e1) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H22c]. % 11.04/11.24 congruence. % 11.04/11.24 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ]. % 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((op (e1) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H22c. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H192. % 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193]. % 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H22d]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22a]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (op (e3) (e3))) = (e1))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H22a. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H156. % 11.04/11.24 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.24 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18d]. % 11.04/11.24 congruence. % 11.04/11.24 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ]. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e3))))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H18d. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H18a. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H188]. % 11.04/11.24 congruence. % 11.04/11.24 apply (zenon_L159_); trivial. % 11.04/11.24 apply zenon_H18b. apply refl_equal. % 11.04/11.24 apply zenon_H18b. apply refl_equal. % 11.04/11.24 apply zenon_H2f. apply refl_equal. % 11.04/11.24 apply zenon_H3a. apply refl_equal. % 11.04/11.24 apply zenon_H193. apply refl_equal. % 11.04/11.24 apply zenon_H193. apply refl_equal. % 11.04/11.24 apply zenon_H45. apply refl_equal. % 11.04/11.24 apply zenon_H193. apply refl_equal. % 11.04/11.24 apply zenon_H193. apply refl_equal. % 11.04/11.24 apply (zenon_L390_); trivial. % 11.04/11.24 (* end of lemma zenon_L391_ *) % 11.04/11.24 assert (zenon_L392_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> False). % 11.04/11.24 do 0 intro. intros zenon_H22e zenon_He5 zenon_H1a7. % 11.04/11.24 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e3)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H22e. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_He5. % 11.04/11.24 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1c9]. % 11.04/11.24 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f1]. % 11.04/11.24 congruence. % 11.04/11.24 apply zenon_H1f1. apply refl_equal. % 11.04/11.24 apply zenon_H1c9. apply sym_equal. exact zenon_H1a7. % 11.04/11.24 (* end of lemma zenon_L392_ *) % 11.04/11.24 assert (zenon_L393_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.04/11.24 do 0 intro. intros zenon_H1ab zenon_He5 zenon_H22e zenon_H3f zenon_H121 zenon_H70 zenon_H7c zenon_H1a9 zenon_H101. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ]. % 11.04/11.24 apply (zenon_L392_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ]. % 11.04/11.24 apply (zenon_L82_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ]. % 11.04/11.24 apply (zenon_L191_); trivial. % 11.04/11.24 apply (zenon_L192_); trivial. % 11.04/11.24 (* end of lemma zenon_L393_ *) % 11.04/11.24 assert (zenon_L394_ : (((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)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H198 zenon_H38 zenon_H101 zenon_H199 zenon_H66 zenon_Hf7 zenon_H156 zenon_H169. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ]. % 11.04/11.24 apply (zenon_L295_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ]. % 11.04/11.24 exact (zenon_H199 zenon_H6f). % 11.04/11.24 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ]. % 11.04/11.24 apply (zenon_L176_); trivial. % 11.04/11.24 apply (zenon_L376_); trivial. % 11.04/11.24 (* end of lemma zenon_L394_ *) % 11.04/11.24 assert (zenon_L395_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.04/11.24 do 0 intro. intros zenon_H1ab zenon_He5 zenon_H22e zenon_H18e zenon_H1a6 zenon_H70 zenon_H7c zenon_H1a9 zenon_H101. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ]. % 11.04/11.24 apply (zenon_L392_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ]. % 11.04/11.24 apply (zenon_L190_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ]. % 11.04/11.24 apply (zenon_L191_); trivial. % 11.04/11.24 apply (zenon_L192_); trivial. % 11.04/11.24 (* end of lemma zenon_L395_ *) % 11.04/11.24 assert (zenon_L396_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (((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 (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (e1))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H1da zenon_H2d zenon_H158 zenon_H1a4 zenon_H225 zenon_Hd9 zenon_H14b zenon_H3c zenon_Hd6 zenon_H1a9 zenon_H1d4 zenon_Ha1 zenon_H169 zenon_Hf7 zenon_H38 zenon_H198 zenon_H119 zenon_H149 zenon_H140 zenon_Ha9 zenon_H109 zenon_H10e zenon_Ha5 zenon_H1b9 zenon_H19f zenon_H1ab zenon_He5 zenon_H22e zenon_H1a6 zenon_H70 zenon_H1cc zenon_H175 zenon_Hd3 zenon_H13b zenon_H23 zenon_H166 zenon_Hc5 zenon_H81 zenon_Hf5 zenon_H121 zenon_H13a zenon_H42 zenon_H1dd zenon_H199. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.24 apply (zenon_L151_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.24 apply (zenon_L56_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.24 apply (zenon_L387_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.24 exact (zenon_H3c zenon_H37). % 11.04/11.24 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.24 apply (zenon_L292_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.24 apply (zenon_L294_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.24 apply (zenon_L310_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.24 apply (zenon_L388_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.24 apply (zenon_L272_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.24 apply (zenon_L292_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.24 exact (zenon_H1cc zenon_Hca). % 11.04/11.24 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.24 apply (zenon_L389_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.04/11.24 apply (zenon_L127_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.04/11.24 apply (zenon_L244_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.04/11.24 apply (zenon_L65_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ]. % 11.04/11.24 apply (zenon_L184_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ]. % 11.04/11.24 apply (zenon_L391_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ]. % 11.04/11.24 exact (zenon_H19f zenon_H114). % 11.04/11.24 apply (zenon_L393_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.24 apply (zenon_L284_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.24 exact (zenon_H1cc zenon_Hca). % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ]. % 11.04/11.24 apply (zenon_L359_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ]. % 11.04/11.24 apply (zenon_L257_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ]. % 11.04/11.24 apply (zenon_L394_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ]. % 11.04/11.24 apply (zenon_L184_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ]. % 11.04/11.24 apply (zenon_L278_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ]. % 11.04/11.24 exact (zenon_H19f zenon_H114). % 11.04/11.24 apply (zenon_L395_); trivial. % 11.04/11.24 apply (zenon_L192_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.24 apply (zenon_L280_); trivial. % 11.04/11.24 exact (zenon_H199 zenon_H6f). % 11.04/11.24 (* end of lemma zenon_L396_ *) % 11.04/11.24 assert (zenon_L397_ : (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> False). % 11.04/11.24 do 0 intro. intros zenon_He9 zenon_H3f zenon_Hc3. % 11.04/11.24 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e1) (e2)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_He9. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H3f. % 11.04/11.24 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1b8]. % 11.04/11.24 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 11.04/11.24 congruence. % 11.04/11.24 apply zenon_Ha4. apply refl_equal. % 11.04/11.24 apply zenon_H1b8. apply sym_equal. exact zenon_Hc3. % 11.04/11.24 (* end of lemma zenon_L397_ *) % 11.04/11.24 assert (zenon_L398_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False). % 11.04/11.24 do 0 intro. intros zenon_Hec zenon_H123 zenon_H66. % 11.04/11.24 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (e0)) = (op (e2) (e2)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_Hec. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H123. % 11.04/11.24 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 11.04/11.24 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed]. % 11.04/11.24 congruence. % 11.04/11.24 apply zenon_Hed. apply refl_equal. % 11.04/11.24 apply zenon_Hf2. apply sym_equal. exact zenon_H66. % 11.04/11.24 (* end of lemma zenon_L398_ *) % 11.04/11.24 assert (zenon_L399_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H1f9 zenon_H23 zenon_H22 zenon_H141 zenon_H162 zenon_H10d zenon_He9 zenon_H1cc. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ]. % 11.04/11.24 apply (zenon_L2_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ]. % 11.04/11.24 apply (zenon_L381_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ]. % 11.04/11.24 apply (zenon_L273_); trivial. % 11.04/11.24 exact (zenon_H1cc zenon_Hca). % 11.04/11.24 (* end of lemma zenon_L399_ *) % 11.04/11.24 assert (zenon_L400_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False). % 11.04/11.24 do 0 intro. intros zenon_H119 zenon_H149 zenon_H101 zenon_H11c zenon_H121 zenon_H19f zenon_Ha5 zenon_H6e. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ]. % 11.04/11.24 apply (zenon_L184_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ]. % 11.04/11.24 apply (zenon_L277_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ]. % 11.04/11.24 exact (zenon_H19f zenon_H114). % 11.04/11.24 apply (zenon_L125_); trivial. % 11.04/11.24 (* end of lemma zenon_L400_ *) % 11.04/11.24 assert (zenon_L401_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H1f9 zenon_H23 zenon_H22 zenon_H12e zenon_Ha1 zenon_H6e zenon_Ha5 zenon_H19f zenon_H121 zenon_H101 zenon_H149 zenon_H119 zenon_H1cc. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ]. % 11.04/11.24 apply (zenon_L2_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ]. % 11.04/11.24 apply (zenon_L257_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ]. % 11.04/11.24 apply (zenon_L400_); trivial. % 11.04/11.24 exact (zenon_H1cc zenon_Hca). % 11.04/11.24 (* end of lemma zenon_L401_ *) % 11.04/11.24 assert (zenon_L402_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H15e zenon_H1f zenon_Hc5 zenon_He9 zenon_H10d zenon_H162 zenon_H42 zenon_H84 zenon_H1f9 zenon_H23 zenon_H22 zenon_H12e zenon_Ha1 zenon_Ha5 zenon_H19f zenon_H121 zenon_H101 zenon_H149 zenon_H119 zenon_H1cc. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.24 apply (zenon_L310_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.24 apply (zenon_L399_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.24 apply (zenon_L27_); trivial. % 11.04/11.24 apply (zenon_L401_); trivial. % 11.04/11.24 (* end of lemma zenon_L402_ *) % 11.04/11.24 assert (zenon_L403_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H15e zenon_H1f zenon_Hc5 zenon_H1c5 zenon_H9c zenon_H1ca zenon_H16b zenon_H1a7 zenon_H70 zenon_H78 zenon_H42 zenon_H84 zenon_H1f9 zenon_H23 zenon_H22 zenon_H12e zenon_Ha1 zenon_Ha5 zenon_H19f zenon_H121 zenon_H101 zenon_H149 zenon_H119 zenon_H1cc. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.24 apply (zenon_L310_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.24 apply (zenon_L230_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.24 apply (zenon_L27_); trivial. % 11.04/11.24 apply (zenon_L401_); trivial. % 11.04/11.24 (* end of lemma zenon_L403_ *) % 11.04/11.24 assert (zenon_L404_ : ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H68 zenon_H150 zenon_H169. % 11.04/11.24 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ]. % 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e0)) = (op (e3) (e3)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H169. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H6a. % 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H16a]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((op (e3) (e3)) = (e0)) = ((op (e3) (e3)) = (op (e3) (e0)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H16a. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H68. % 11.04/11.24 cut (((e0) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H22f]. % 11.04/11.24 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.24 congruence. % 11.04/11.24 apply zenon_H6b. apply refl_equal. % 11.04/11.24 apply zenon_H22f. apply sym_equal. exact zenon_H150. % 11.04/11.24 apply zenon_H6b. apply refl_equal. % 11.04/11.24 apply zenon_H6b. apply refl_equal. % 11.04/11.24 (* end of lemma zenon_L404_ *) % 11.04/11.24 assert (zenon_L405_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H1cd zenon_H1af zenon_H1c5 zenon_H9c zenon_H1ca zenon_H141 zenon_H16b zenon_H70 zenon_H78 zenon_Ha9 zenon_Hf7 zenon_H150 zenon_H169. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H31 | zenon_intro zenon_H1ce ]. % 11.04/11.24 exact (zenon_H1af zenon_H31). % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1cf ]. % 11.04/11.24 apply (zenon_L230_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hba | zenon_intro zenon_H68 ]. % 11.04/11.24 apply (zenon_L173_); trivial. % 11.04/11.24 apply (zenon_L404_); trivial. % 11.04/11.24 (* end of lemma zenon_L405_ *) % 11.04/11.24 assert (zenon_L406_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H186 zenon_H108 zenon_Ha5. % 11.04/11.24 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ]. % 11.04/11.24 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_Ha5. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_Ha6. % 11.04/11.24 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.24 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((op (e0) (e3)) = (e1)) = ((e2) = (e1))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_Ha7. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H186. % 11.04/11.24 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.24 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 11.04/11.24 congruence. % 11.04/11.24 exact (zenon_H10b zenon_H108). % 11.04/11.24 apply zenon_H2f. apply refl_equal. % 11.04/11.24 apply zenon_H45. apply refl_equal. % 11.04/11.24 apply zenon_H45. apply refl_equal. % 11.04/11.24 (* end of lemma zenon_L406_ *) % 11.04/11.24 assert (zenon_L407_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H78 zenon_H169 zenon_H150 zenon_H69 zenon_H186 zenon_H70 zenon_H10c zenon_H1c5. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H68 | zenon_intro zenon_H7a ]. % 11.04/11.24 apply (zenon_L404_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H6e | zenon_intro zenon_H7b ]. % 11.04/11.24 apply (zenon_L237_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7c | zenon_intro zenon_H73 ]. % 11.04/11.24 apply (zenon_L191_); trivial. % 11.04/11.24 exact (zenon_H1c5 zenon_H73). % 11.04/11.24 (* end of lemma zenon_L407_ *) % 11.04/11.24 assert (zenon_L408_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e2)) -> False). % 11.04/11.24 do 0 intro. intros zenon_H230 zenon_H7c. % 11.04/11.24 cut (((op (e3) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 11.04/11.24 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.24 congruence. % 11.04/11.24 apply zenon_H3a. apply refl_equal. % 11.04/11.24 exact (zenon_H79 zenon_H7c). % 11.04/11.24 (* end of lemma zenon_L408_ *) % 11.04/11.24 assert (zenon_L409_ : ((op (e3) (e2)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((e1) = (op (e3) (op (e3) (e3))))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H85 zenon_H7c zenon_H229. % 11.04/11.24 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ]. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e1) = (op (e3) (op (e3) (e3))))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H229. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H18a. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22a]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((op (e3) (e2)) = (e1)) = ((op (e3) (op (e3) (e3))) = (e1))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H22a. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H85. % 11.04/11.24 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.24 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H231]. % 11.04/11.24 congruence. % 11.04/11.24 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ]. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e3))))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H231. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H18a. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H230]. % 11.04/11.24 congruence. % 11.04/11.24 apply (zenon_L408_); trivial. % 11.04/11.24 apply zenon_H18b. apply refl_equal. % 11.04/11.24 apply zenon_H18b. apply refl_equal. % 11.04/11.24 apply zenon_H2f. apply refl_equal. % 11.04/11.24 apply zenon_H18b. apply refl_equal. % 11.04/11.24 apply zenon_H18b. apply refl_equal. % 11.04/11.24 (* end of lemma zenon_L409_ *) % 11.04/11.24 assert (zenon_L410_ : ((op (e1) (e3)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> False). % 11.04/11.24 do 0 intro. intros zenon_H1a7 zenon_H85 zenon_H7c. % 11.04/11.24 apply (zenon_notand_s _ _ ax28); [ zenon_intro zenon_H233 | zenon_intro zenon_H232 ]. % 11.04/11.24 apply zenon_H233. apply sym_equal. exact zenon_H7c. % 11.04/11.24 apply (zenon_notand_s _ _ zenon_H232); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H229 ]. % 11.04/11.24 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ]. % 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H1b6. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H192. % 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193]. % 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1b7]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((op (e1) (e3)) = (e0)) = ((op (op (e3) (op (e3) (e3))) (e3)) = (e0))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H1b7. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H1a7. % 11.04/11.24 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.24 cut (((op (e1) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H22c]. % 11.04/11.24 congruence. % 11.04/11.24 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ]. % 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((op (e1) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H22c. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H192. % 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193]. % 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H22d]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22a]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((op (e3) (e2)) = (e1)) = ((op (e3) (op (e3) (e3))) = (e1))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H22a. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H85. % 11.04/11.24 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.24 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H231]. % 11.04/11.24 congruence. % 11.04/11.24 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ]. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e3))))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H231. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H18a. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H230]. % 11.04/11.24 congruence. % 11.04/11.24 apply (zenon_L408_); trivial. % 11.04/11.24 apply zenon_H18b. apply refl_equal. % 11.04/11.24 apply zenon_H18b. apply refl_equal. % 11.04/11.24 apply zenon_H2f. apply refl_equal. % 11.04/11.24 apply zenon_H3a. apply refl_equal. % 11.04/11.24 apply zenon_H193. apply refl_equal. % 11.04/11.24 apply zenon_H193. apply refl_equal. % 11.04/11.24 apply zenon_H2b. apply refl_equal. % 11.04/11.24 apply zenon_H193. apply refl_equal. % 11.04/11.24 apply zenon_H193. apply refl_equal. % 11.04/11.24 apply (zenon_L409_); trivial. % 11.04/11.24 (* end of lemma zenon_L410_ *) % 11.04/11.24 assert (zenon_L411_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e1) (e3)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> False). % 11.04/11.24 do 0 intro. intros zenon_H119 zenon_Ha5 zenon_H1c5 zenon_H70 zenon_H186 zenon_H69 zenon_H150 zenon_H169 zenon_H78 zenon_H19f zenon_H1a7 zenon_H85. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ]. % 11.04/11.24 apply (zenon_L406_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ]. % 11.04/11.24 apply (zenon_L407_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ]. % 11.04/11.24 exact (zenon_H19f zenon_H114). % 11.04/11.24 apply (zenon_L410_); trivial. % 11.04/11.24 (* end of lemma zenon_L411_ *) % 11.04/11.24 assert (zenon_L412_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> (((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)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H1cd zenon_H1af zenon_H85 zenon_H19f zenon_H78 zenon_H69 zenon_H186 zenon_H70 zenon_H1c5 zenon_Ha5 zenon_H119 zenon_Ha9 zenon_Hf7 zenon_H150 zenon_H169. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H31 | zenon_intro zenon_H1ce ]. % 11.04/11.24 exact (zenon_H1af zenon_H31). % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1cf ]. % 11.04/11.24 apply (zenon_L411_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hba | zenon_intro zenon_H68 ]. % 11.04/11.24 apply (zenon_L173_); trivial. % 11.04/11.24 apply (zenon_L404_); trivial. % 11.04/11.24 (* end of lemma zenon_L412_ *) % 11.04/11.24 assert (zenon_L413_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H14b zenon_H3c zenon_H81 zenon_H23 zenon_H169 zenon_H150 zenon_Hf7 zenon_Ha9 zenon_H119 zenon_Ha5 zenon_H1c5 zenon_H70 zenon_H69 zenon_H78 zenon_H19f zenon_H1af zenon_H1cd zenon_H2d zenon_H1f0 zenon_H1f zenon_Hbe zenon_H186 zenon_H38. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.24 exact (zenon_H3c zenon_H37). % 11.04/11.24 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.24 apply (zenon_L292_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.04/11.24 apply (zenon_L71_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.04/11.24 apply (zenon_L305_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.04/11.24 apply (zenon_L37_); trivial. % 11.04/11.24 apply (zenon_L412_); trivial. % 11.04/11.24 apply (zenon_L295_); trivial. % 11.04/11.24 (* end of lemma zenon_L413_ *) % 11.04/11.24 assert (zenon_L414_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> False). % 11.04/11.24 do 0 intro. intros zenon_H155 zenon_H175 zenon_H8d. % 11.04/11.24 cut (((op (e0) (e0)) = (e2)) = ((op (e0) (e0)) = (op (e3) (e0)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H155. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H175. % 11.04/11.24 cut (((e2) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H126]. % 11.04/11.24 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 11.04/11.24 congruence. % 11.04/11.24 apply zenon_H21. apply refl_equal. % 11.04/11.24 apply zenon_H126. apply sym_equal. exact zenon_H8d. % 11.04/11.24 (* end of lemma zenon_L414_ *) % 11.04/11.24 assert (zenon_L415_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.04/11.24 do 0 intro. intros zenon_H1f4 zenon_H150 zenon_H158 zenon_H141 zenon_H95 zenon_H140 zenon_H84 zenon_Hdc. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ]. % 11.04/11.24 apply (zenon_L121_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ]. % 11.04/11.24 apply (zenon_L96_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ]. % 11.04/11.24 apply (zenon_L174_); trivial. % 11.04/11.24 apply (zenon_L131_); trivial. % 11.04/11.24 (* end of lemma zenon_L415_ *) % 11.04/11.24 assert (zenon_L416_ : ((op (e3) (e2)) = (e0)) -> ((op (e3) (e3)) = (e2)) -> (~((e0) = (op (e3) (op (e3) (e3))))) -> False). % 11.04/11.24 do 0 intro. intros zenon_Hf0 zenon_H7c zenon_H1bd. % 11.04/11.24 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ]. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e0) = (op (e3) (op (e3) (e3))))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H1bd. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H18a. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1be]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((op (e3) (e2)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H1be. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_Hf0. % 11.04/11.24 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.24 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H231]. % 11.04/11.24 congruence. % 11.04/11.24 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ]. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e3))))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H231. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H18a. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H230]. % 11.04/11.24 congruence. % 11.04/11.24 apply (zenon_L408_); trivial. % 11.04/11.24 apply zenon_H18b. apply refl_equal. % 11.04/11.24 apply zenon_H18b. apply refl_equal. % 11.04/11.24 apply zenon_H2b. apply refl_equal. % 11.04/11.24 apply zenon_H18b. apply refl_equal. % 11.04/11.24 apply zenon_H18b. apply refl_equal. % 11.04/11.24 (* end of lemma zenon_L416_ *) % 11.04/11.24 assert (zenon_L417_ : ((op (e0) (e3)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e3)) = (e2)) -> False). % 11.04/11.24 do 0 intro. intros zenon_H186 zenon_Hf0 zenon_H7c. % 11.04/11.24 apply (zenon_notand_s _ _ ax29); [ zenon_intro zenon_H233 | zenon_intro zenon_H234 ]. % 11.04/11.24 apply zenon_H233. apply sym_equal. exact zenon_H7c. % 11.04/11.24 apply (zenon_notand_s _ _ zenon_H234); [ zenon_intro zenon_H191 | zenon_intro zenon_H1bd ]. % 11.04/11.24 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ]. % 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H191. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H192. % 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193]. % 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H194]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((op (e0) (e3)) = (e1)) = ((op (op (e3) (op (e3) (e3))) (e3)) = (e1))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H194. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H186. % 11.04/11.24 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.24 cut (((op (e0) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 11.04/11.24 congruence. % 11.04/11.24 elim (classic ((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [ zenon_intro zenon_H192 | zenon_intro zenon_H193 ]. % 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3))) = ((op (e0) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H1c2. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H192. % 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (op (e3) (op (e3) (e3))) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193]. % 11.04/11.24 cut (((op (op (e3) (op (e3) (e3))) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1c3]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1be]. % 11.04/11.24 congruence. % 11.04/11.24 cut (((op (e3) (e2)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H1be. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_Hf0. % 11.04/11.24 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.24 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H231]. % 11.04/11.24 congruence. % 11.04/11.24 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ]. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e3))))). % 11.04/11.24 intro zenon_D_pnotp. % 11.04/11.24 apply zenon_H231. % 11.04/11.24 rewrite <- zenon_D_pnotp. % 11.04/11.24 exact zenon_H18a. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 11.04/11.24 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H230]. % 11.04/11.24 congruence. % 11.04/11.24 apply (zenon_L408_); trivial. % 11.04/11.24 apply zenon_H18b. apply refl_equal. % 11.04/11.24 apply zenon_H18b. apply refl_equal. % 11.04/11.24 apply zenon_H2b. apply refl_equal. % 11.04/11.24 apply zenon_H3a. apply refl_equal. % 11.04/11.24 apply zenon_H193. apply refl_equal. % 11.04/11.24 apply zenon_H193. apply refl_equal. % 11.04/11.24 apply zenon_H2f. apply refl_equal. % 11.04/11.24 apply zenon_H193. apply refl_equal. % 11.04/11.24 apply zenon_H193. apply refl_equal. % 11.04/11.24 apply (zenon_L416_); trivial. % 11.04/11.24 (* end of lemma zenon_L417_ *) % 11.04/11.24 assert (zenon_L418_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((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 (e0) (e3)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.04/11.24 do 0 intro. intros zenon_H9e zenon_H175 zenon_H155 zenon_H158 zenon_H150 zenon_H1c5 zenon_H16b zenon_H1a7 zenon_H70 zenon_H78 zenon_H1f4 zenon_H186 zenon_H141 zenon_H140 zenon_H1ca zenon_H84 zenon_Hdc. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.04/11.24 apply (zenon_L414_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.04/11.24 apply (zenon_L415_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.04/11.24 apply (zenon_L230_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ]. % 11.04/11.24 apply (zenon_L417_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ]. % 11.04/11.24 apply (zenon_L96_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ]. % 11.04/11.24 apply (zenon_L229_); trivial. % 11.04/11.24 apply (zenon_L131_); trivial. % 11.04/11.24 (* end of lemma zenon_L418_ *) % 11.04/11.24 assert (zenon_L419_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (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 (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (((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)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.24 do 0 intro. intros zenon_H15e zenon_Hdc zenon_H84 zenon_H1ca zenon_H140 zenon_H1f4 zenon_H78 zenon_H70 zenon_H1a7 zenon_H16b zenon_H1c5 zenon_H150 zenon_H158 zenon_H155 zenon_H175 zenon_H9e zenon_Hc3 zenon_H19c zenon_H186 zenon_H69. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.24 apply (zenon_L294_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.24 apply (zenon_L418_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.24 apply (zenon_L167_); trivial. % 11.04/11.24 apply (zenon_L237_); trivial. % 11.04/11.24 (* end of lemma zenon_L419_ *) % 11.04/11.24 assert (zenon_L420_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e0)) = (e3)) -> (~((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)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e1) (e3)) = (e0)) -> False). % 11.04/11.24 do 0 intro. intros zenon_Hbe zenon_H3d zenon_H19c zenon_H9e zenon_H175 zenon_H155 zenon_H158 zenon_H16b zenon_H1f4 zenon_H140 zenon_H1ca zenon_H84 zenon_Hdc zenon_H15e zenon_H123 zenon_Hec zenon_H119 zenon_Ha5 zenon_H1c5 zenon_H70 zenon_H186 zenon_H69 zenon_H150 zenon_H169 zenon_H78 zenon_H19f zenon_H1a7. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.04/11.24 apply (zenon_L284_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.04/11.24 apply (zenon_L419_); trivial. % 11.04/11.24 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.04/11.24 apply (zenon_L398_); trivial. % 11.04/11.24 apply (zenon_L411_); trivial. % 11.04/11.24 (* end of lemma zenon_L420_ *) % 11.04/11.24 assert (zenon_L421_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e2) (e3)) = (e2))) -> (((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)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e0)) = (e3)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.04/11.25 do 0 intro. intros zenon_H1cd zenon_H1af zenon_H19f zenon_H78 zenon_H69 zenon_H186 zenon_H70 zenon_H1c5 zenon_Ha5 zenon_H119 zenon_Hec zenon_H123 zenon_H15e zenon_Hdc zenon_H84 zenon_H1ca zenon_H140 zenon_H1f4 zenon_H16b zenon_H158 zenon_H155 zenon_H175 zenon_H9e zenon_H19c zenon_H3d zenon_Hbe zenon_Ha9 zenon_Hf7 zenon_H150 zenon_H169. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H31 | zenon_intro zenon_H1ce ]. % 11.04/11.25 exact (zenon_H1af zenon_H31). % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1cf ]. % 11.04/11.25 apply (zenon_L420_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hba | zenon_intro zenon_H68 ]. % 11.04/11.25 apply (zenon_L173_); trivial. % 11.04/11.25 apply (zenon_L404_); trivial. % 11.04/11.25 (* end of lemma zenon_L421_ *) % 11.04/11.25 assert (zenon_L422_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (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 (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.04/11.25 do 0 intro. intros zenon_H1da zenon_H32 zenon_H1f0 zenon_H38 zenon_H186 zenon_Hd9 zenon_H3c zenon_H169 zenon_Hf7 zenon_Ha9 zenon_Hbe zenon_H19c zenon_H9e zenon_H175 zenon_H155 zenon_H158 zenon_H16b zenon_H1f4 zenon_H140 zenon_H1ca zenon_H84 zenon_H15e zenon_Hec zenon_H119 zenon_Ha5 zenon_H1c5 zenon_H70 zenon_H69 zenon_H78 zenon_H19f zenon_H1af zenon_H1cd zenon_H81 zenon_H23 zenon_H14b zenon_H150 zenon_H2d. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.25 apply (zenon_L158_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.25 apply (zenon_L413_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.25 exact (zenon_H3c zenon_H37). % 11.04/11.25 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.25 apply (zenon_L292_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.25 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.04/11.25 exact (zenon_H3c zenon_H37). % 11.04/11.25 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.04/11.25 apply (zenon_L421_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.04/11.25 apply (zenon_L350_); trivial. % 11.04/11.25 apply (zenon_L116_); trivial. % 11.04/11.25 apply (zenon_L295_); trivial. % 11.04/11.25 apply (zenon_L169_); trivial. % 11.04/11.25 (* end of lemma zenon_L422_ *) % 11.04/11.25 assert (zenon_L423_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((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)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (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 (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.04/11.25 do 0 intro. intros zenon_H219 zenon_H225 zenon_H1a4 zenon_H146 zenon_H1f7 zenon_Hc5 zenon_Ha1 zenon_H121 zenon_H149 zenon_H1b9 zenon_H41 zenon_H1cc zenon_He9 zenon_H162 zenon_H22 zenon_H1f9 zenon_H109 zenon_H1da zenon_H32 zenon_H1f0 zenon_H38 zenon_Hd9 zenon_H3c zenon_H169 zenon_Hf7 zenon_Ha9 zenon_Hbe zenon_H19c zenon_H9e zenon_H175 zenon_H155 zenon_H158 zenon_H16b zenon_H1f4 zenon_H140 zenon_H1ca zenon_H84 zenon_H15e zenon_Hec zenon_H119 zenon_Ha5 zenon_H1c5 zenon_H70 zenon_H69 zenon_H78 zenon_H19f zenon_H1af zenon_H1cd zenon_H81 zenon_H23 zenon_H14b zenon_H150 zenon_H2d. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.04/11.25 apply (zenon_L151_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.04/11.25 apply (zenon_L269_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.25 apply (zenon_L151_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.25 exact (zenon_H3c zenon_H37). % 11.04/11.25 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.25 apply (zenon_L292_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.25 apply (zenon_L71_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H11f | zenon_intro zenon_H147 ]. % 11.04/11.25 apply (zenon_L269_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H3f | zenon_intro zenon_H148 ]. % 11.04/11.25 apply (zenon_L383_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H12e | zenon_intro zenon_H141 ]. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.04/11.25 apply (zenon_L36_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.04/11.25 apply (zenon_L402_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.04/11.25 apply (zenon_L139_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H31 | zenon_intro zenon_H1ce ]. % 11.04/11.25 exact (zenon_H1af zenon_H31). % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1cf ]. % 11.04/11.25 apply (zenon_L403_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hba | zenon_intro zenon_H68 ]. % 11.04/11.25 apply (zenon_L173_); trivial. % 11.04/11.25 apply (zenon_L404_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.04/11.25 apply (zenon_L318_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.04/11.25 apply (zenon_L399_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.04/11.25 apply (zenon_L139_); trivial. % 11.04/11.25 apply (zenon_L405_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.25 apply (zenon_L387_); trivial. % 11.04/11.25 apply (zenon_L169_); trivial. % 11.04/11.25 apply (zenon_L422_); trivial. % 11.04/11.25 (* end of lemma zenon_L423_ *) % 11.04/11.25 assert (zenon_L424_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False). % 11.04/11.25 do 0 intro. intros zenon_H132 zenon_H23 zenon_H163. % 11.04/11.25 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e3) (e1)))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H132. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H23. % 11.04/11.25 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H164]. % 11.04/11.25 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 11.04/11.25 congruence. % 11.04/11.25 apply zenon_H26. apply refl_equal. % 11.04/11.25 apply zenon_H164. apply sym_equal. exact zenon_H163. % 11.04/11.25 (* end of lemma zenon_L424_ *) % 11.04/11.25 assert (zenon_L425_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False). % 11.04/11.25 do 0 intro. intros zenon_H158 zenon_H156 zenon_H85. % 11.04/11.25 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e3) (e2)))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H158. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H156. % 11.04/11.25 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 11.04/11.25 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7]. % 11.04/11.25 congruence. % 11.04/11.25 apply zenon_Hc7. apply refl_equal. % 11.04/11.25 apply zenon_H86. apply sym_equal. exact zenon_H85. % 11.04/11.25 (* end of lemma zenon_L425_ *) % 11.04/11.25 assert (zenon_L426_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> False). % 11.04/11.25 do 0 intro. intros zenon_H138 zenon_Hc4 zenon_H133. % 11.04/11.25 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e3) (e1)))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H138. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_Hc4. % 11.04/11.25 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H134]. % 11.04/11.25 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7]. % 11.04/11.25 congruence. % 11.04/11.25 apply zenon_Hc7. apply refl_equal. % 11.04/11.25 apply zenon_H134. apply sym_equal. exact zenon_H133. % 11.04/11.25 (* end of lemma zenon_L426_ *) % 11.04/11.25 assert (zenon_L427_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.04/11.25 do 0 intro. intros zenon_H15a zenon_H169 zenon_H68 zenon_H85 zenon_H158 zenon_H95 zenon_H138 zenon_H133. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ]. % 11.04/11.25 apply (zenon_L404_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ]. % 11.04/11.25 apply (zenon_L425_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ]. % 11.04/11.25 apply (zenon_L93_); trivial. % 11.04/11.25 apply (zenon_L426_); trivial. % 11.04/11.25 (* end of lemma zenon_L427_ *) % 11.04/11.25 assert (zenon_L428_ : ((op (e3) (e0)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False). % 11.04/11.25 do 0 intro. intros zenon_H156 zenon_H123 zenon_H125. % 11.04/11.25 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 11.04/11.25 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e2) (e0)) = (op (e3) (e0)))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H125. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_Hc6. % 11.04/11.25 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7]. % 11.04/11.25 cut (((op (e3) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H151]. % 11.04/11.25 congruence. % 11.04/11.25 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e2) (e0)))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H151. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H156. % 11.04/11.25 cut (((e1) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H124]. % 11.04/11.25 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7]. % 11.04/11.25 congruence. % 11.04/11.25 apply zenon_Hc7. apply refl_equal. % 11.04/11.25 apply zenon_H124. apply sym_equal. exact zenon_H123. % 11.04/11.25 apply zenon_Hc7. apply refl_equal. % 11.04/11.25 apply zenon_Hc7. apply refl_equal. % 11.04/11.25 (* end of lemma zenon_L428_ *) % 11.04/11.25 assert (zenon_L429_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False). % 11.04/11.25 do 0 intro. intros zenon_H119 zenon_Ha5 zenon_H186 zenon_H11c zenon_H121 zenon_H19f zenon_H9c zenon_H1ca. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ]. % 11.04/11.25 apply (zenon_L406_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ]. % 11.04/11.25 apply (zenon_L277_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ]. % 11.04/11.25 exact (zenon_H19f zenon_H114). % 11.04/11.25 apply (zenon_L229_); trivial. % 11.04/11.25 (* end of lemma zenon_L429_ *) % 11.04/11.25 assert (zenon_L430_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.04/11.25 do 0 intro. intros zenon_H1f9 zenon_H23 zenon_H22 zenon_H141 zenon_H162 zenon_H1ca zenon_H9c zenon_H19f zenon_H121 zenon_H186 zenon_Ha5 zenon_H119 zenon_H1cc. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ]. % 11.04/11.25 apply (zenon_L2_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ]. % 11.04/11.25 apply (zenon_L381_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ]. % 11.04/11.25 apply (zenon_L429_); trivial. % 11.04/11.25 exact (zenon_H1cc zenon_Hca). % 11.04/11.25 (* end of lemma zenon_L430_ *) % 11.04/11.25 assert (zenon_L431_ : (((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)) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e0)) -> False). % 11.04/11.25 do 0 intro. intros zenon_H15e zenon_H125 zenon_H123 zenon_H1cc zenon_H119 zenon_Ha5 zenon_H186 zenon_H121 zenon_H19f zenon_H9c zenon_H1ca zenon_H162 zenon_H22 zenon_H23 zenon_H1f9 zenon_Hc3 zenon_H19c zenon_H2d zenon_H68. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.25 apply (zenon_L428_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.25 apply (zenon_L430_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.25 apply (zenon_L167_); trivial. % 11.04/11.25 apply (zenon_L165_); trivial. % 11.04/11.25 (* end of lemma zenon_L431_ *) % 11.04/11.25 assert (zenon_L432_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (op (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)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> False). % 11.04/11.25 do 0 intro. intros zenon_H166 zenon_H169 zenon_Hf7 zenon_Hbe zenon_H3d zenon_H9e zenon_H175 zenon_H155 zenon_H158 zenon_H16b zenon_H1f4 zenon_H140 zenon_H84 zenon_Hdc zenon_Hec zenon_H1c5 zenon_H70 zenon_H69 zenon_H78 zenon_H1af zenon_H1cd zenon_H81 zenon_H133 zenon_Hf5 zenon_H20f zenon_He5 zenon_H1f0 zenon_H2d zenon_H19c zenon_H1f9 zenon_H23 zenon_H22 zenon_H162 zenon_H1ca zenon_H9c zenon_H19f zenon_H121 zenon_H186 zenon_Ha5 zenon_H119 zenon_H1cc zenon_H125 zenon_H15e zenon_H10e zenon_H10c zenon_H123 zenon_Ha9. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.04/11.25 apply (zenon_L421_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.04/11.25 apply (zenon_L244_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.04/11.25 apply (zenon_L65_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_Hea | zenon_intro zenon_H210 ]. % 11.04/11.25 apply (zenon_L352_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H211 ]. % 11.04/11.25 apply (zenon_L431_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H10d | zenon_intro zenon_Hcb ]. % 11.04/11.25 apply (zenon_L76_); trivial. % 11.04/11.25 apply (zenon_L359_); trivial. % 11.04/11.25 (* end of lemma zenon_L432_ *) % 11.04/11.25 assert (zenon_L433_ : (((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)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> False). % 11.04/11.25 do 0 intro. intros zenon_H1b9 zenon_H41 zenon_H175 zenon_H1cc zenon_He9 zenon_H162 zenon_H141 zenon_H22 zenon_H23 zenon_H1f9 zenon_H109 zenon_Ha9 zenon_H140 zenon_H95. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.04/11.25 apply (zenon_L318_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.04/11.25 apply (zenon_L399_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.04/11.25 apply (zenon_L139_); trivial. % 11.04/11.25 apply (zenon_L174_); trivial. % 11.04/11.25 (* end of lemma zenon_L433_ *) % 11.04/11.25 assert (zenon_L434_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e3)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (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 (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.25 do 0 intro. intros zenon_H15e zenon_Hdc zenon_H95 zenon_H140 zenon_Ha9 zenon_H109 zenon_H1f9 zenon_H23 zenon_H22 zenon_H162 zenon_He9 zenon_H1cc zenon_H175 zenon_H41 zenon_H1b9 zenon_Hc3 zenon_H19c zenon_H186 zenon_H69. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.25 apply (zenon_L294_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.25 apply (zenon_L433_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.25 apply (zenon_L167_); trivial. % 11.04/11.25 apply (zenon_L237_); trivial. % 11.04/11.25 (* end of lemma zenon_L434_ *) % 11.04/11.25 assert (zenon_L435_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False). % 11.04/11.25 do 0 intro. intros zenon_H119 zenon_Ha5 zenon_H1c5 zenon_H70 zenon_H186 zenon_H69 zenon_H150 zenon_H169 zenon_H78 zenon_H19f zenon_H95 zenon_H16b. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ]. % 11.04/11.25 apply (zenon_L406_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ]. % 11.04/11.25 apply (zenon_L407_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ]. % 11.04/11.25 exact (zenon_H19f zenon_H114). % 11.04/11.25 apply (zenon_L135_); trivial. % 11.04/11.25 (* end of lemma zenon_L435_ *) % 11.04/11.25 assert (zenon_L436_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e2)) = (op (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)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (((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)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.04/11.25 do 0 intro. intros zenon_Hbe zenon_H3d zenon_H19c zenon_H1b9 zenon_H41 zenon_H175 zenon_H1cc zenon_He9 zenon_H162 zenon_H22 zenon_H23 zenon_H1f9 zenon_H109 zenon_H140 zenon_Hdc zenon_H15e zenon_H123 zenon_Hec zenon_H166 zenon_H16b zenon_H19f zenon_H78 zenon_H69 zenon_H186 zenon_H70 zenon_H1c5 zenon_Ha5 zenon_H119 zenon_H81 zenon_Ha9 zenon_Hf5 zenon_H15a zenon_H169 zenon_H158 zenon_H95 zenon_H138 zenon_H133. % 11.04/11.25 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.04/11.25 apply (zenon_L284_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.04/11.25 apply (zenon_L434_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.04/11.25 apply (zenon_L398_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.04/11.25 apply (zenon_L435_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.04/11.25 apply (zenon_L244_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.04/11.25 apply (zenon_L65_); trivial. % 11.04/11.25 apply (zenon_L427_); trivial. % 11.04/11.25 (* end of lemma zenon_L436_ *) % 11.04/11.25 assert (zenon_L437_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e2)) = (op (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)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (((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)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.04/11.25 do 0 intro. intros zenon_H13b zenon_H149 zenon_H19e zenon_Hbe zenon_H3d zenon_H19c zenon_H1b9 zenon_H41 zenon_H175 zenon_H1cc zenon_He9 zenon_H162 zenon_H22 zenon_H23 zenon_H1f9 zenon_H109 zenon_H140 zenon_Hdc zenon_H15e zenon_H123 zenon_Hec zenon_H166 zenon_H16b zenon_H19f zenon_H78 zenon_H69 zenon_H186 zenon_H70 zenon_H1c5 zenon_Ha5 zenon_H119 zenon_H81 zenon_Ha9 zenon_Hf5 zenon_H15a zenon_H169 zenon_H158 zenon_H95 zenon_H138. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.25 apply (zenon_L292_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.25 exact (zenon_H1cc zenon_Hca). % 11.04/11.25 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.04/11.25 apply (zenon_L270_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.04/11.25 apply (zenon_L389_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.04/11.25 apply (zenon_L139_); trivial. % 11.04/11.25 exact (zenon_H19f zenon_H114). % 11.04/11.25 apply (zenon_L436_); trivial. % 11.04/11.25 (* end of lemma zenon_L437_ *) % 11.04/11.25 assert (zenon_L438_ : (((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 (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.04/11.25 do 0 intro. intros zenon_H1b9 zenon_H41 zenon_H175 zenon_He9 zenon_Hdc zenon_H84 zenon_Hf5 zenon_H19c zenon_Hc3 zenon_Ha9 zenon_H1f4 zenon_H1f9 zenon_H23 zenon_H22 zenon_H141 zenon_H162 zenon_H1ca zenon_H19f zenon_H121 zenon_H186 zenon_Ha5 zenon_H119 zenon_H1cc. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.04/11.25 apply (zenon_L318_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.04/11.25 apply (zenon_L399_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.04/11.25 apply (zenon_L315_); trivial. % 11.04/11.25 apply (zenon_L430_); trivial. % 11.04/11.25 (* end of lemma zenon_L438_ *) % 11.04/11.25 assert (zenon_L439_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (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 (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e0)) -> False). % 11.04/11.25 do 0 intro. intros zenon_H15e zenon_H1cc zenon_H119 zenon_Ha5 zenon_H186 zenon_H121 zenon_H19f zenon_H1ca zenon_H162 zenon_H22 zenon_H23 zenon_H1f9 zenon_H1f4 zenon_Ha9 zenon_Hf5 zenon_H84 zenon_Hdc zenon_He9 zenon_H175 zenon_H41 zenon_H1b9 zenon_Hc3 zenon_H19c zenon_H2d zenon_H68. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.25 apply (zenon_L294_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.25 apply (zenon_L438_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.25 apply (zenon_L167_); trivial. % 11.04/11.25 apply (zenon_L165_); trivial. % 11.04/11.25 (* end of lemma zenon_L439_ *) % 11.04/11.25 assert (zenon_L440_ : (((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)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (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 (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> False). % 11.04/11.25 do 0 intro. intros zenon_H166 zenon_Hc5 zenon_He5 zenon_H132 zenon_H15e zenon_H1cc zenon_H119 zenon_Ha5 zenon_H186 zenon_H121 zenon_H19f zenon_H1ca zenon_H162 zenon_H22 zenon_H23 zenon_H1f9 zenon_H1f4 zenon_Ha9 zenon_Hf5 zenon_H84 zenon_Hdc zenon_He9 zenon_H175 zenon_H41 zenon_H1b9 zenon_Hc3 zenon_H19c zenon_H2d. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.04/11.25 apply (zenon_L127_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.04/11.25 apply (zenon_L424_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.04/11.25 apply (zenon_L65_); trivial. % 11.04/11.25 apply (zenon_L439_); trivial. % 11.04/11.25 (* end of lemma zenon_L440_ *) % 11.04/11.25 assert (zenon_L441_ : (((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) (e1)) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.04/11.25 do 0 intro. intros zenon_Hd3 zenon_Hc5 zenon_Hc4 zenon_H1cc zenon_Ha9 zenon_H123 zenon_H10c zenon_H149. % 11.04/11.25 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.25 apply (zenon_L43_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.25 exact (zenon_H1cc zenon_Hca). % 11.04/11.25 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.25 apply (zenon_L359_); trivial. % 11.04/11.25 apply (zenon_L308_); trivial. % 11.04/11.25 (* end of lemma zenon_L441_ *) % 11.04/11.25 assert (zenon_L442_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.04/11.25 do 0 intro. intros zenon_H14b zenon_H3c zenon_H81 zenon_H23 zenon_H175 zenon_H156 zenon_H186 zenon_H38. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.25 exact (zenon_H3c zenon_H37). % 11.04/11.25 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.25 apply (zenon_L292_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.25 apply (zenon_L294_); trivial. % 11.04/11.25 apply (zenon_L295_); trivial. % 11.04/11.25 (* end of lemma zenon_L442_ *) % 11.04/11.25 assert (zenon_L443_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.04/11.25 do 0 intro. intros zenon_H14b zenon_H3c zenon_H81 zenon_H23 zenon_H38 zenon_H42 zenon_H69 zenon_H73. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.25 exact (zenon_H3c zenon_H37). % 11.04/11.25 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.25 apply (zenon_L292_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.25 apply (zenon_L71_); trivial. % 11.04/11.25 apply (zenon_L258_); trivial. % 11.04/11.25 (* end of lemma zenon_L443_ *) % 11.04/11.25 assert (zenon_L444_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.25 do 0 intro. intros zenon_H235 zenon_Ha9 zenon_Hf7 zenon_H186 zenon_Hb9 zenon_H19f zenon_H73 zenon_H75. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_Hba | zenon_intro zenon_H236 ]. % 11.04/11.25 apply (zenon_L173_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H18e | zenon_intro zenon_H237 ]. % 11.04/11.25 apply (zenon_L182_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H114 | zenon_intro zenon_H74 ]. % 11.04/11.25 exact (zenon_H19f zenon_H114). % 11.04/11.25 apply (zenon_L23_); trivial. % 11.04/11.25 (* end of lemma zenon_L444_ *) % 11.04/11.25 assert (zenon_L445_ : ((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((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 (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> ((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3))) -> False). % 11.04/11.25 do 0 intro. intros zenon_H1d8 zenon_H173 zenon_Hdd zenon_Ha5 zenon_H2d zenon_H14b zenon_H73 zenon_H69 zenon_H38 zenon_H81 zenon_H3c zenon_H235 zenon_H75 zenon_Hb9 zenon_Ha9 zenon_Hf7 zenon_H219 zenon_H175 zenon_H109 zenon_H1a4 zenon_H238. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ]. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ]. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.04/11.25 apply (zenon_L312_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.04/11.25 apply (zenon_L151_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.04/11.25 apply (zenon_L269_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.04/11.25 apply (zenon_L443_); trivial. % 11.04/11.25 apply (zenon_L444_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.04/11.25 apply (zenon_L155_); trivial. % 11.04/11.25 exact (zenon_H1af zenon_H31). % 11.04/11.25 exact (zenon_H1a4 zenon_H65). % 11.04/11.25 exact (zenon_H3c zenon_H37). % 11.04/11.25 (* end of lemma zenon_L445_ *) % 11.04/11.25 assert (zenon_L446_ : ((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.04/11.25 do 0 intro. intros zenon_H238 zenon_Ha9 zenon_H81 zenon_H114. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ]. % 11.04/11.25 exact (zenon_H19f zenon_H114). % 11.04/11.25 apply (zenon_L53_); trivial. % 11.04/11.25 (* end of lemma zenon_L446_ *) % 11.04/11.25 assert (zenon_L447_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> False). % 11.04/11.25 do 0 intro. intros zenon_H23 zenon_H2c zenon_H88. % 11.04/11.25 elim (classic ((op (e0) (e1)) = (op (e0) (e1)))); [ zenon_intro zenon_H239 | zenon_intro zenon_H26 ]. % 11.04/11.25 cut (((op (e0) (e1)) = (op (e0) (e1))) = ((op (e0) (e0)) = (op (e0) (e1)))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H88. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H239. % 11.04/11.25 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 11.04/11.25 cut (((op (e0) (e1)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H23a]. % 11.04/11.25 congruence. % 11.04/11.25 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e0)))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H23a. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H23. % 11.04/11.25 cut (((e0) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.04/11.25 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 11.04/11.25 congruence. % 11.04/11.25 apply zenon_H26. apply refl_equal. % 11.04/11.25 apply zenon_H36. apply sym_equal. exact zenon_H2c. % 11.04/11.25 apply zenon_H26. apply refl_equal. % 11.04/11.25 apply zenon_H26. apply refl_equal. % 11.04/11.25 (* end of lemma zenon_L447_ *) % 11.04/11.25 assert (zenon_L448_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False). % 11.04/11.25 do 0 intro. intros zenon_H119 zenon_H149 zenon_H101 zenon_Ha5 zenon_H6f zenon_H19f zenon_H109 zenon_H68. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ]. % 11.04/11.25 apply (zenon_L184_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ]. % 11.04/11.25 apply (zenon_L78_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ]. % 11.04/11.25 exact (zenon_H19f zenon_H114). % 11.04/11.25 apply (zenon_L129_); trivial. % 11.04/11.25 (* end of lemma zenon_L448_ *) % 11.04/11.25 assert (zenon_L449_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> False). % 11.04/11.25 do 0 intro. intros zenon_H1a9 zenon_H186 zenon_H6f. % 11.04/11.25 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e1) (e3)))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H1a9. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H186. % 11.04/11.25 cut (((e1) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 11.04/11.25 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34]. % 11.04/11.25 congruence. % 11.04/11.25 apply zenon_H34. apply refl_equal. % 11.04/11.25 apply zenon_H72. apply sym_equal. exact zenon_H6f. % 11.04/11.25 (* end of lemma zenon_L449_ *) % 11.04/11.25 assert (zenon_L450_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> False). % 11.04/11.25 do 0 intro. intros zenon_H22e zenon_H1f zenon_H6f. % 11.04/11.25 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e1) (e3)))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H22e. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H1f. % 11.04/11.25 cut (((e1) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 11.04/11.25 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1f1]. % 11.04/11.25 congruence. % 11.04/11.25 apply zenon_H1f1. apply refl_equal. % 11.04/11.25 apply zenon_H72. apply sym_equal. exact zenon_H6f. % 11.04/11.25 (* end of lemma zenon_L450_ *) % 11.04/11.25 assert (zenon_L451_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3))) -> ((op (e1) (e3)) = (e1)) -> ((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3))) -> False). % 11.04/11.25 do 0 intro. intros zenon_H23b zenon_H1d7 zenon_H173 zenon_Hdd zenon_H88 zenon_H219 zenon_H1a9 zenon_H41 zenon_Hd9 zenon_Ha9 zenon_H158 zenon_H225 zenon_H38 zenon_H3c zenon_H14b zenon_H132 zenon_Hf5 zenon_H119 zenon_H149 zenon_H166 zenon_H81 zenon_H1da zenon_H2d zenon_Ha5 zenon_Hec zenon_H22e zenon_H1f7 zenon_H16f zenon_H175 zenon_H109 zenon_H238 zenon_H6f zenon_H1d8. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H114 ]. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ]. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ]. % 11.04/11.25 exact (zenon_H199 zenon_H6f). % 11.04/11.25 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ]. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.04/11.25 apply (zenon_L312_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.04/11.25 apply (zenon_L447_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.04/11.25 apply (zenon_L151_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.04/11.25 apply (zenon_L269_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.25 apply (zenon_L11_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.25 apply (zenon_L56_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.25 apply (zenon_L387_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.25 exact (zenon_H3c zenon_H37). % 11.04/11.25 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.25 apply (zenon_L292_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.25 apply (zenon_L294_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.04/11.25 apply (zenon_L169_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.04/11.25 apply (zenon_L424_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.04/11.25 apply (zenon_L65_); trivial. % 11.04/11.25 apply (zenon_L448_); trivial. % 11.04/11.25 apply (zenon_L449_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.04/11.25 apply (zenon_L60_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.04/11.25 apply (zenon_L151_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.04/11.25 apply (zenon_L269_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.25 apply (zenon_L11_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.25 apply (zenon_L450_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.25 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.04/11.25 exact (zenon_H3c zenon_H37). % 11.04/11.25 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.04/11.25 apply (zenon_L321_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.04/11.25 apply (zenon_L350_); trivial. % 11.04/11.25 apply (zenon_L116_); trivial. % 11.04/11.25 apply (zenon_L169_); trivial. % 11.04/11.25 apply (zenon_L449_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.04/11.25 apply (zenon_L155_); trivial. % 11.04/11.25 exact (zenon_H1af zenon_H31). % 11.04/11.25 exact (zenon_H1a4 zenon_H65). % 11.04/11.25 exact (zenon_H3c zenon_H37). % 11.04/11.25 apply (zenon_L446_); trivial. % 11.04/11.25 (* end of lemma zenon_L451_ *) % 11.04/11.25 assert (zenon_L452_ : ((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.04/11.25 do 0 intro. intros zenon_H1d8 zenon_H175 zenon_H149 zenon_H31. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ]. % 11.04/11.25 exact (zenon_H1af zenon_H31). % 11.04/11.25 apply (zenon_L291_); trivial. % 11.04/11.25 (* end of lemma zenon_L452_ *) % 11.04/11.25 assert (zenon_L453_ : (~((op (e0) (op (e0) (e0))) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.25 do 0 intro. intros zenon_H23c zenon_H37. % 11.04/11.25 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 11.04/11.25 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.25 congruence. % 11.04/11.25 apply zenon_H2b. apply refl_equal. % 11.04/11.25 exact (zenon_H3c zenon_H37). % 11.04/11.25 (* end of lemma zenon_L453_ *) % 11.04/11.25 assert (zenon_L454_ : ((op (e0) (e3)) = (e2)) -> ((op (e0) (e0)) = (e3)) -> (~((e2) = (op (e0) (op (e0) (e0))))) -> False). % 11.04/11.25 do 0 intro. intros zenon_H108 zenon_H37 zenon_H47. % 11.04/11.25 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e2) = (op (e0) (op (e0) (e0))))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H47. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H48. % 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 11.04/11.25 congruence. % 11.04/11.25 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (op (e0) (e0))) = (e2))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H4a. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H108. % 11.04/11.25 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.25 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H23d]. % 11.04/11.25 congruence. % 11.04/11.25 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e0))))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H23d. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H48. % 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H23c]. % 11.04/11.25 congruence. % 11.04/11.25 apply (zenon_L453_); trivial. % 11.04/11.25 apply zenon_H49. apply refl_equal. % 11.04/11.25 apply zenon_H49. apply refl_equal. % 11.04/11.25 apply zenon_H45. apply refl_equal. % 11.04/11.25 apply zenon_H49. apply refl_equal. % 11.04/11.25 apply zenon_H49. apply refl_equal. % 11.04/11.25 (* end of lemma zenon_L454_ *) % 11.04/11.25 assert (zenon_L455_ : ((op (e2) (e0)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.25 do 0 intro. intros zenon_H123 zenon_H108 zenon_H37. % 11.04/11.25 apply (zenon_notand_s _ _ ax10); [ zenon_intro zenon_H23f | zenon_intro zenon_H23e ]. % 11.04/11.25 apply zenon_H23f. apply sym_equal. exact zenon_H37. % 11.04/11.25 apply (zenon_notand_s _ _ zenon_H23e); [ zenon_intro zenon_H1ed | zenon_intro zenon_H47 ]. % 11.04/11.25 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H1ed. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H50. % 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1ee]. % 11.04/11.25 congruence. % 11.04/11.25 cut (((op (e2) (e0)) = (e1)) = ((op (op (e0) (op (e0) (e0))) (e0)) = (e1))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H1ee. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H123. % 11.04/11.25 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.25 cut (((op (e2) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H53]. % 11.04/11.25 congruence. % 11.04/11.25 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((op (e2) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H53. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H50. % 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 11.04/11.25 congruence. % 11.04/11.25 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 11.04/11.25 congruence. % 11.04/11.25 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (op (e0) (e0))) = (e2))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H4a. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H108. % 11.04/11.25 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.25 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H23d]. % 11.04/11.25 congruence. % 11.04/11.25 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e0))))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H23d. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H48. % 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H23c]. % 11.04/11.25 congruence. % 11.04/11.25 apply (zenon_L453_); trivial. % 11.04/11.25 apply zenon_H49. apply refl_equal. % 11.04/11.25 apply zenon_H49. apply refl_equal. % 11.04/11.25 apply zenon_H45. apply refl_equal. % 11.04/11.25 apply zenon_H2b. apply refl_equal. % 11.04/11.25 apply zenon_H51. apply refl_equal. % 11.04/11.25 apply zenon_H51. apply refl_equal. % 11.04/11.25 apply zenon_H2f. apply refl_equal. % 11.04/11.25 apply zenon_H51. apply refl_equal. % 11.04/11.25 apply zenon_H51. apply refl_equal. % 11.04/11.25 apply (zenon_L454_); trivial. % 11.04/11.25 (* end of lemma zenon_L455_ *) % 11.04/11.25 assert (zenon_L456_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (op (e0) (op (e0) (e0))))) -> False). % 11.04/11.25 do 0 intro. intros zenon_H186 zenon_H37 zenon_H1df. % 11.04/11.25 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e1) = (op (e0) (op (e0) (e0))))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H1df. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H48. % 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1e0]. % 11.04/11.25 congruence. % 11.04/11.25 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (op (e0) (e0))) = (e1))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H1e0. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H186. % 11.04/11.25 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.25 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H23d]. % 11.04/11.25 congruence. % 11.04/11.25 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e0))))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H23d. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H48. % 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H23c]. % 11.04/11.25 congruence. % 11.04/11.25 apply (zenon_L453_); trivial. % 11.04/11.25 apply zenon_H49. apply refl_equal. % 11.04/11.25 apply zenon_H49. apply refl_equal. % 11.04/11.25 apply zenon_H2f. apply refl_equal. % 11.04/11.25 apply zenon_H49. apply refl_equal. % 11.04/11.25 apply zenon_H49. apply refl_equal. % 11.04/11.25 (* end of lemma zenon_L456_ *) % 11.04/11.25 assert (zenon_L457_ : ((op (e1) (e0)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.25 do 0 intro. intros zenon_H57 zenon_H186 zenon_H37. % 11.04/11.25 apply (zenon_notand_s _ _ ax11); [ zenon_intro zenon_H23f | zenon_intro zenon_H240 ]. % 11.04/11.25 apply zenon_H23f. apply sym_equal. exact zenon_H37. % 11.04/11.25 apply (zenon_notand_s _ _ zenon_H240); [ zenon_intro zenon_H8f | zenon_intro zenon_H1df ]. % 11.04/11.25 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H8f. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H50. % 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 11.04/11.25 congruence. % 11.04/11.25 cut (((op (e1) (e0)) = (e2)) = ((op (op (e0) (op (e0) (e0))) (e0)) = (e2))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H90. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H57. % 11.04/11.25 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.25 cut (((op (e1) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1e4]. % 11.04/11.25 congruence. % 11.04/11.25 elim (classic ((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0))) = ((op (e1) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H1e4. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H50. % 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (op (e0) (op (e0) (e0))) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 11.04/11.25 cut (((op (op (e0) (op (e0) (e0))) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1e5]. % 11.04/11.25 congruence. % 11.04/11.25 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1e0]. % 11.04/11.25 congruence. % 11.04/11.25 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (op (e0) (e0))) = (e1))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H1e0. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H186. % 11.04/11.25 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.25 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H23d]. % 11.04/11.25 congruence. % 11.04/11.25 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H48 | zenon_intro zenon_H49 ]. % 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e0))))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H23d. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H48. % 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 11.04/11.25 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H23c]. % 11.04/11.25 congruence. % 11.04/11.25 apply (zenon_L453_); trivial. % 11.04/11.25 apply zenon_H49. apply refl_equal. % 11.04/11.25 apply zenon_H49. apply refl_equal. % 11.04/11.25 apply zenon_H2f. apply refl_equal. % 11.04/11.25 apply zenon_H2b. apply refl_equal. % 11.04/11.25 apply zenon_H51. apply refl_equal. % 11.04/11.25 apply zenon_H51. apply refl_equal. % 11.04/11.25 apply zenon_H45. apply refl_equal. % 11.04/11.25 apply zenon_H51. apply refl_equal. % 11.04/11.25 apply zenon_H51. apply refl_equal. % 11.04/11.25 apply (zenon_L456_); trivial. % 11.04/11.25 (* end of lemma zenon_L457_ *) % 11.04/11.25 assert (zenon_L458_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e2) (e0)) = (e2))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.04/11.25 do 0 intro. intros zenon_H172 zenon_H37 zenon_H186 zenon_H14e zenon_Hc4 zenon_H149. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.04/11.25 apply (zenon_L291_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.04/11.25 apply (zenon_L457_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.04/11.25 exact (zenon_H14e zenon_H103). % 11.04/11.25 apply (zenon_L110_); trivial. % 11.04/11.25 (* end of lemma zenon_L458_ *) % 11.04/11.25 assert (zenon_L459_ : (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> False). % 11.04/11.25 do 0 intro. intros zenon_H241 zenon_H23 zenon_He3. % 11.04/11.25 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e2)))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H241. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H23. % 11.04/11.25 cut (((e0) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H242]. % 11.04/11.25 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 11.04/11.25 congruence. % 11.04/11.25 apply zenon_H26. apply refl_equal. % 11.04/11.25 apply zenon_H242. apply sym_equal. exact zenon_He3. % 11.04/11.25 (* end of lemma zenon_L459_ *) % 11.04/11.25 assert (zenon_L460_ : (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False). % 11.04/11.25 do 0 intro. intros zenon_H12a zenon_H80 zenon_Ha2. % 11.04/11.25 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e1)))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H12a. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H80. % 11.04/11.25 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 11.04/11.25 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hed]. % 11.04/11.25 congruence. % 11.04/11.25 apply zenon_Hed. apply refl_equal. % 11.04/11.25 apply zenon_Ha3. apply sym_equal. exact zenon_Ha2. % 11.04/11.25 (* end of lemma zenon_L460_ *) % 11.04/11.25 assert (zenon_L461_ : ((op (e3) (e0)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False). % 11.04/11.25 do 0 intro. intros zenon_Hc4 zenon_H4c zenon_H125. % 11.04/11.25 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 11.04/11.25 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e2) (e0)) = (op (e3) (e0)))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H125. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_Hc6. % 11.04/11.25 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7]. % 11.04/11.25 cut (((op (e3) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H151]. % 11.04/11.25 congruence. % 11.04/11.25 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e2) (e0)))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H151. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_Hc4. % 11.04/11.25 cut (((e3) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1d1]. % 11.04/11.25 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc7]. % 11.04/11.25 congruence. % 11.04/11.25 apply zenon_Hc7. apply refl_equal. % 11.04/11.25 apply zenon_H1d1. apply sym_equal. exact zenon_H4c. % 11.04/11.25 apply zenon_Hc7. apply refl_equal. % 11.04/11.25 apply zenon_Hc7. apply refl_equal. % 11.04/11.25 (* end of lemma zenon_L461_ *) % 11.04/11.25 assert (zenon_L462_ : (((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 (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False). % 11.04/11.25 do 0 intro. intros zenon_H127 zenon_Ha2 zenon_H12a zenon_H1e zenon_H122 zenon_H14e zenon_Hc4 zenon_H125. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ]. % 11.04/11.25 apply (zenon_L460_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ]. % 11.04/11.25 apply (zenon_L83_); trivial. % 11.04/11.25 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ]. % 11.04/11.25 exact (zenon_H14e zenon_H103). % 11.04/11.25 apply (zenon_L461_); trivial. % 11.04/11.25 (* end of lemma zenon_L462_ *) % 11.04/11.25 assert (zenon_L463_ : ((op (e3) (e3)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False). % 11.04/11.25 do 0 intro. intros zenon_H68 zenon_H163 zenon_H16b. % 11.04/11.25 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ]. % 11.04/11.25 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e1)) = (op (e3) (e3)))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H16b. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H6a. % 11.04/11.25 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.25 cut (((op (e3) (e3)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16c]. % 11.04/11.25 congruence. % 11.04/11.25 cut (((op (e3) (e3)) = (e0)) = ((op (e3) (e3)) = (op (e3) (e1)))). % 11.04/11.25 intro zenon_D_pnotp. % 11.04/11.25 apply zenon_H16c. % 11.04/11.25 rewrite <- zenon_D_pnotp. % 11.04/11.25 exact zenon_H68. % 11.04/11.25 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H164]. % 11.04/11.25 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.25 congruence. % 11.04/11.25 apply zenon_H6b. apply refl_equal. % 11.04/11.25 apply zenon_H164. apply sym_equal. exact zenon_H163. % 11.04/11.26 apply zenon_H6b. apply refl_equal. % 11.04/11.26 apply zenon_H6b. apply refl_equal. % 11.04/11.26 (* end of lemma zenon_L463_ *) % 11.04/11.26 assert (zenon_L464_ : (((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)) = (e0))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False). % 11.04/11.26 do 0 intro. intros zenon_H1fc zenon_He3 zenon_H241 zenon_H56 zenon_H125 zenon_Hc4 zenon_H14e zenon_H122 zenon_H1e zenon_H12a zenon_H127 zenon_H68 zenon_H16b. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.04/11.26 apply (zenon_L459_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.04/11.26 exact (zenon_H56 zenon_H24). % 11.04/11.26 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.04/11.26 apply (zenon_L462_); trivial. % 11.04/11.26 apply (zenon_L463_); trivial. % 11.04/11.26 (* end of lemma zenon_L464_ *) % 11.04/11.26 assert (zenon_L465_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> False). % 11.04/11.26 do 0 intro. intros zenon_H11f zenon_H1e zenon_H88. % 11.04/11.26 elim (classic ((op (e0) (e1)) = (op (e0) (e1)))); [ zenon_intro zenon_H239 | zenon_intro zenon_H26 ]. % 11.04/11.26 cut (((op (e0) (e1)) = (op (e0) (e1))) = ((op (e0) (e0)) = (op (e0) (e1)))). % 11.04/11.26 intro zenon_D_pnotp. % 11.04/11.26 apply zenon_H88. % 11.04/11.26 rewrite <- zenon_D_pnotp. % 11.04/11.26 exact zenon_H239. % 11.04/11.26 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 11.04/11.26 cut (((op (e0) (e1)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H23a]. % 11.04/11.26 congruence. % 11.04/11.26 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e0) (e0)))). % 11.04/11.26 intro zenon_D_pnotp. % 11.04/11.26 apply zenon_H23a. % 11.04/11.26 rewrite <- zenon_D_pnotp. % 11.04/11.26 exact zenon_H11f. % 11.04/11.26 cut (((e1) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 11.04/11.26 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 11.04/11.26 congruence. % 11.04/11.26 apply zenon_H26. apply refl_equal. % 11.04/11.26 apply zenon_H4e. apply sym_equal. exact zenon_H1e. % 11.04/11.26 apply zenon_H26. apply refl_equal. % 11.04/11.26 apply zenon_H26. apply refl_equal. % 11.04/11.26 (* end of lemma zenon_L465_ *) % 11.04/11.26 assert (zenon_L466_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H180 zenon_H149 zenon_Ha5 zenon_H11f zenon_H109 zenon_He3 zenon_H123 zenon_H37. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.04/11.26 apply (zenon_L291_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.04/11.26 apply (zenon_L81_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.04/11.26 apply (zenon_L206_); trivial. % 11.04/11.26 apply (zenon_L455_); trivial. % 11.04/11.26 (* end of lemma zenon_L466_ *) % 11.04/11.26 assert (zenon_L467_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.04/11.26 do 0 intro. intros zenon_He3 zenon_H42 zenon_H2d. % 11.04/11.26 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ]. % 11.04/11.26 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.04/11.26 intro zenon_D_pnotp. % 11.04/11.26 apply zenon_H2d. % 11.04/11.26 rewrite <- zenon_D_pnotp. % 11.04/11.26 exact zenon_H2e. % 11.04/11.26 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.26 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 11.04/11.26 congruence. % 11.04/11.26 cut (((op (e0) (e2)) = (e0)) = ((e1) = (e0))). % 11.04/11.26 intro zenon_D_pnotp. % 11.04/11.26 apply zenon_H30. % 11.04/11.26 rewrite <- zenon_D_pnotp. % 11.04/11.26 exact zenon_He3. % 11.04/11.26 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.26 cut (((op (e0) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H243]. % 11.04/11.26 congruence. % 11.04/11.26 exact (zenon_H243 zenon_H42). % 11.04/11.26 apply zenon_H2b. apply refl_equal. % 11.04/11.26 apply zenon_H2f. apply refl_equal. % 11.04/11.26 apply zenon_H2f. apply refl_equal. % 11.04/11.26 (* end of lemma zenon_L467_ *) % 11.04/11.26 assert (zenon_L468_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.04/11.26 do 0 intro. intros zenon_H2c zenon_H37 zenon_H81. % 11.04/11.26 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 11.04/11.26 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.04/11.26 intro zenon_D_pnotp. % 11.04/11.26 apply zenon_H81. % 11.04/11.26 rewrite <- zenon_D_pnotp. % 11.04/11.26 exact zenon_H39. % 11.04/11.26 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.26 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 11.04/11.26 congruence. % 11.04/11.26 cut (((op (e0) (e0)) = (e0)) = ((e3) = (e0))). % 11.04/11.26 intro zenon_D_pnotp. % 11.04/11.26 apply zenon_H82. % 11.04/11.26 rewrite <- zenon_D_pnotp. % 11.04/11.26 exact zenon_H2c. % 11.04/11.26 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.26 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 11.04/11.26 congruence. % 11.04/11.26 exact (zenon_H3c zenon_H37). % 11.04/11.26 apply zenon_H2b. apply refl_equal. % 11.04/11.26 apply zenon_H3a. apply refl_equal. % 11.04/11.26 apply zenon_H3a. apply refl_equal. % 11.04/11.26 (* end of lemma zenon_L468_ *) % 11.04/11.26 assert (zenon_L469_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e3) (e1)) = (e3))) -> False). % 11.04/11.26 do 0 intro. intros zenon_H13b zenon_H37 zenon_H88 zenon_H81 zenon_H24 zenon_H57 zenon_H145. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.26 apply (zenon_L28_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.26 apply (zenon_L44_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.26 apply (zenon_L19_); trivial. % 11.04/11.26 exact (zenon_H145 zenon_H133). % 11.04/11.26 (* end of lemma zenon_L469_ *) % 11.04/11.26 assert (zenon_L470_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H122 zenon_H37 zenon_H4c. % 11.04/11.26 cut (((op (e0) (e0)) = (e3)) = ((op (e0) (e0)) = (op (e2) (e0)))). % 11.04/11.26 intro zenon_D_pnotp. % 11.04/11.26 apply zenon_H122. % 11.04/11.26 rewrite <- zenon_D_pnotp. % 11.04/11.26 exact zenon_H37. % 11.04/11.26 cut (((e3) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1d1]. % 11.04/11.26 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 11.04/11.26 congruence. % 11.04/11.26 apply zenon_H21. apply refl_equal. % 11.04/11.26 apply zenon_H1d1. apply sym_equal. exact zenon_H4c. % 11.04/11.26 (* end of lemma zenon_L470_ *) % 11.04/11.26 assert (zenon_L471_ : (((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 (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H127 zenon_Ha2 zenon_H12a zenon_H125 zenon_H156 zenon_H104 zenon_H57 zenon_H122 zenon_H37. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ]. % 11.04/11.26 apply (zenon_L460_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ]. % 11.04/11.26 apply (zenon_L428_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ]. % 11.04/11.26 apply (zenon_L74_); trivial. % 11.04/11.26 apply (zenon_L470_); trivial. % 11.04/11.26 (* end of lemma zenon_L471_ *) % 11.04/11.26 assert (zenon_L472_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False). % 11.04/11.26 do 0 intro. intros zenon_Hf8 zenon_He3 zenon_Hdd zenon_H67 zenon_Hcc zenon_H10d zenon_H5d zenon_H143. % 11.04/11.26 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ]. % 11.04/11.26 apply (zenon_L155_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ]. % 11.04/11.26 exact (zenon_H67 zenon_H66). % 11.04/11.26 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ]. % 11.04/11.26 apply (zenon_L140_); trivial. % 11.04/11.26 apply (zenon_L99_); trivial. % 11.04/11.26 (* end of lemma zenon_L472_ *) % 11.04/11.26 assert (zenon_L473_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False). % 11.04/11.26 do 0 intro. intros zenon_Hf8 zenon_He3 zenon_Hdd zenon_H67 zenon_H9c zenon_Hf5 zenon_H5d zenon_H143. % 11.04/11.26 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ]. % 11.04/11.26 apply (zenon_L155_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ]. % 11.04/11.26 exact (zenon_H67 zenon_H66). % 11.04/11.26 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ]. % 11.04/11.26 apply (zenon_L163_); trivial. % 11.04/11.26 apply (zenon_L99_); trivial. % 11.04/11.26 (* end of lemma zenon_L473_ *) % 11.04/11.26 assert (zenon_L474_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False). % 11.04/11.26 do 0 intro. intros zenon_H1b9 zenon_H109 zenon_Hcc zenon_H103 zenon_Hec zenon_Hf8 zenon_He3 zenon_Hdd zenon_H67 zenon_Hf5 zenon_H5d zenon_H143. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.04/11.26 apply (zenon_L206_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.04/11.26 apply (zenon_L472_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.04/11.26 apply (zenon_L143_); trivial. % 11.04/11.26 apply (zenon_L473_); trivial. % 11.04/11.26 (* end of lemma zenon_L474_ *) % 11.04/11.26 assert (zenon_L475_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> False). % 11.04/11.26 do 0 intro. intros zenon_H13b zenon_H37 zenon_H88 zenon_H11c zenon_H149 zenon_H143 zenon_Hf5 zenon_H67 zenon_Hdd zenon_He3 zenon_Hf8 zenon_Hec zenon_H103 zenon_Hcc zenon_H109 zenon_H1b9 zenon_H145. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.26 apply (zenon_L28_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.26 apply (zenon_L285_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.26 apply (zenon_L474_); trivial. % 11.04/11.26 exact (zenon_H145 zenon_H133). % 11.04/11.26 (* end of lemma zenon_L475_ *) % 11.04/11.26 assert (zenon_L476_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False). % 11.04/11.26 do 0 intro. intros zenon_H13b zenon_H37 zenon_H88 zenon_Hcb zenon_He9 zenon_H143 zenon_H10d zenon_Hcc zenon_H67 zenon_Hdd zenon_He3 zenon_Hf8 zenon_H145. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.26 apply (zenon_L28_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.26 apply (zenon_L303_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.26 apply (zenon_L472_); trivial. % 11.04/11.26 exact (zenon_H145 zenon_H133). % 11.04/11.26 (* end of lemma zenon_L476_ *) % 11.04/11.26 assert (zenon_L477_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False). % 11.04/11.26 do 0 intro. intros zenon_H13b zenon_H38 zenon_H11f zenon_Hd1 zenon_H121 zenon_H143 zenon_H10d zenon_Hcc zenon_H67 zenon_Hdd zenon_He3 zenon_Hf8 zenon_H145. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.26 apply (zenon_L296_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.26 apply (zenon_L338_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.26 apply (zenon_L472_); trivial. % 11.04/11.26 exact (zenon_H145 zenon_H133). % 11.04/11.26 (* end of lemma zenon_L477_ *) % 11.04/11.26 assert (zenon_L478_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H1a9 zenon_H108 zenon_H10c. % 11.04/11.26 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (e3)) = (op (e1) (e3)))). % 11.04/11.26 intro zenon_D_pnotp. % 11.04/11.26 apply zenon_H1a9. % 11.04/11.26 rewrite <- zenon_D_pnotp. % 11.04/11.26 exact zenon_H108. % 11.04/11.26 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a8]. % 11.04/11.26 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34]. % 11.04/11.26 congruence. % 11.04/11.26 apply zenon_H34. apply refl_equal. % 11.04/11.26 apply zenon_H1a8. apply sym_equal. exact zenon_H10c. % 11.04/11.26 (* end of lemma zenon_L478_ *) % 11.04/11.26 assert (zenon_L479_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.04/11.26 do 0 intro. intros zenon_H14b zenon_H123 zenon_H22 zenon_Hca zenon_H81 zenon_He3 zenon_H108 zenon_H149. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.26 apply (zenon_L455_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.26 apply (zenon_L57_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.26 apply (zenon_L183_); trivial. % 11.04/11.26 apply (zenon_L184_); trivial. % 11.04/11.26 (* end of lemma zenon_L479_ *) % 11.04/11.26 assert (zenon_L480_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H20c zenon_H1a7 zenon_H22e zenon_Hc5 zenon_H122 zenon_H104 zenon_H156 zenon_H125 zenon_H12a zenon_Ha2 zenon_H127 zenon_H1d zenon_H37. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ]. % 11.04/11.26 apply (zenon_L392_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ]. % 11.04/11.26 apply (zenon_L310_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ]. % 11.04/11.26 apply (zenon_L471_); trivial. % 11.04/11.26 apply (zenon_L348_); trivial. % 11.04/11.26 (* end of lemma zenon_L480_ *) % 11.04/11.26 assert (zenon_L481_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H1dd zenon_He3 zenon_Hea. % 11.04/11.26 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e1) (e2)))). % 11.04/11.26 intro zenon_D_pnotp. % 11.04/11.26 apply zenon_H1dd. % 11.04/11.26 rewrite <- zenon_D_pnotp. % 11.04/11.26 exact zenon_He3. % 11.04/11.26 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 11.04/11.26 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 11.04/11.26 congruence. % 11.04/11.26 apply zenon_H87. apply refl_equal. % 11.04/11.26 apply zenon_Heb. apply sym_equal. exact zenon_Hea. % 11.04/11.26 (* end of lemma zenon_L481_ *) % 11.04/11.26 assert (zenon_L482_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H132 zenon_H11f zenon_H141. % 11.04/11.26 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e3) (e1)))). % 11.04/11.26 intro zenon_D_pnotp. % 11.04/11.26 apply zenon_H132. % 11.04/11.26 rewrite <- zenon_D_pnotp. % 11.04/11.26 exact zenon_H11f. % 11.04/11.26 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 11.04/11.26 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 11.04/11.26 congruence. % 11.04/11.26 apply zenon_H26. apply refl_equal. % 11.04/11.26 apply zenon_H159. apply sym_equal. exact zenon_H141. % 11.04/11.26 (* end of lemma zenon_L482_ *) % 11.04/11.26 assert (zenon_L483_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H20c zenon_H80 zenon_H123 zenon_H104 zenon_H186 zenon_H1d zenon_H37. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ]. % 11.04/11.26 apply (zenon_L154_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ]. % 11.04/11.26 apply (zenon_L347_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ]. % 11.04/11.26 apply (zenon_L457_); trivial. % 11.04/11.26 apply (zenon_L348_); trivial. % 11.04/11.26 (* end of lemma zenon_L483_ *) % 11.04/11.26 assert (zenon_L484_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H20c zenon_H104 zenon_H80 zenon_H156 zenon_Hc5 zenon_H186 zenon_H1d zenon_H37. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ]. % 11.04/11.26 apply (zenon_L154_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ]. % 11.04/11.26 apply (zenon_L310_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ]. % 11.04/11.26 apply (zenon_L457_); trivial. % 11.04/11.26 apply (zenon_L348_); trivial. % 11.04/11.26 (* end of lemma zenon_L484_ *) % 11.04/11.26 assert (zenon_L485_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H219 zenon_H132 zenon_H200 zenon_H81 zenon_H88 zenon_H13b zenon_H1dd zenon_H70 zenon_H1da zenon_H2a zenon_H145 zenon_H138 zenon_H140 zenon_H68 zenon_H16b zenon_H170 zenon_H67 zenon_H1f0 zenon_He3 zenon_H2d zenon_Hbe zenon_H109 zenon_Ha5 zenon_H149 zenon_H172 zenon_H20c zenon_H104 zenon_H80 zenon_Hc5 zenon_H1d zenon_H37. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.04/11.26 exact (zenon_H2a zenon_H1e). % 11.04/11.26 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.04/11.26 apply (zenon_L291_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.04/11.26 apply (zenon_L154_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.04/11.26 apply (zenon_L469_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.04/11.26 apply (zenon_L481_); trivial. % 11.04/11.26 apply (zenon_L228_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.04/11.26 apply (zenon_L109_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H163 | zenon_intro zenon_H17d ]. % 11.04/11.26 apply (zenon_L463_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H141 | zenon_intro zenon_H17e ]. % 11.04/11.26 apply (zenon_L482_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H95 | zenon_intro zenon_H133 ]. % 11.04/11.26 apply (zenon_L93_); trivial. % 11.04/11.26 exact (zenon_H145 zenon_H133). % 11.04/11.26 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.04/11.26 apply (zenon_L467_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.26 exact (zenon_H2a zenon_H1e). % 11.04/11.26 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.04/11.26 apply (zenon_L291_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.04/11.26 apply (zenon_L224_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.04/11.26 apply (zenon_L109_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.04/11.26 apply (zenon_L467_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.04/11.26 apply (zenon_L305_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.04/11.26 exact (zenon_H67 zenon_H66). % 11.04/11.26 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H163 | zenon_intro zenon_H17d ]. % 11.04/11.26 apply (zenon_L463_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H141 | zenon_intro zenon_H17e ]. % 11.04/11.26 apply (zenon_L96_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H95 | zenon_intro zenon_H133 ]. % 11.04/11.26 apply (zenon_L93_); trivial. % 11.04/11.26 exact (zenon_H145 zenon_H133). % 11.04/11.26 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.26 apply (zenon_L483_); trivial. % 11.04/11.26 apply (zenon_L484_); trivial. % 11.04/11.26 (* end of lemma zenon_L485_ *) % 11.04/11.26 assert (zenon_L486_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H127 zenon_H1d zenon_Hc5 zenon_H104 zenon_H20c zenon_H172 zenon_H149 zenon_Ha5 zenon_H109 zenon_Hbe zenon_H2d zenon_He3 zenon_H1f0 zenon_H67 zenon_H170 zenon_H16b zenon_H68 zenon_H140 zenon_H138 zenon_H145 zenon_H2a zenon_H1da zenon_H70 zenon_H1dd zenon_H13b zenon_H88 zenon_H81 zenon_H200 zenon_H132 zenon_H219 zenon_H156 zenon_H8d zenon_H125 zenon_H122 zenon_H37. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ]. % 11.04/11.26 apply (zenon_L485_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ]. % 11.04/11.26 apply (zenon_L428_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ]. % 11.04/11.26 apply (zenon_L84_); trivial. % 11.04/11.26 apply (zenon_L470_); trivial. % 11.04/11.26 (* end of lemma zenon_L486_ *) % 11.04/11.26 assert (zenon_L487_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H1f9 zenon_Ha2 zenon_H40 zenon_H46 zenon_H22 zenon_Ha1 zenon_H5d. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ]. % 11.04/11.26 apply (zenon_L35_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ]. % 11.04/11.26 exact (zenon_H40 zenon_H3f). % 11.04/11.26 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ]. % 11.04/11.26 apply (zenon_L253_); trivial. % 11.04/11.26 apply (zenon_L323_); trivial. % 11.04/11.26 (* end of lemma zenon_L487_ *) % 11.04/11.26 assert (zenon_L488_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.26 do 0 intro. intros zenon_Hbc zenon_H37 zenon_H1d zenon_Hc5 zenon_H104 zenon_H20c zenon_H172 zenon_H149 zenon_Ha5 zenon_H109 zenon_Hbe zenon_H2d zenon_H1f0 zenon_H67 zenon_H170 zenon_H16b zenon_H140 zenon_H138 zenon_H145 zenon_H2a zenon_H1da zenon_H70 zenon_H1dd zenon_H13b zenon_H88 zenon_H81 zenon_H200 zenon_H132 zenon_H219 zenon_H5d zenon_Ha1 zenon_H22 zenon_H46 zenon_H40 zenon_H1f9 zenon_He3 zenon_Hdd zenon_H68 zenon_H75. % 11.04/11.26 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.04/11.26 apply (zenon_L485_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.04/11.26 apply (zenon_L487_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.04/11.26 apply (zenon_L155_); trivial. % 11.04/11.26 apply (zenon_L221_); trivial. % 11.04/11.26 (* end of lemma zenon_L488_ *) % 11.04/11.26 assert (zenon_L489_ : ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((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 (e2) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> False). % 11.04/11.26 do 0 intro. intros zenon_Hcb zenon_He9 zenon_H75 zenon_H68 zenon_Hdd zenon_He3 zenon_H1f9 zenon_H40 zenon_H46 zenon_H22 zenon_Ha1 zenon_H219 zenon_H132 zenon_H200 zenon_H81 zenon_H88 zenon_H13b zenon_H1dd zenon_H70 zenon_H1da zenon_H2a zenon_H138 zenon_H140 zenon_H16b zenon_H170 zenon_H67 zenon_H1f0 zenon_H2d zenon_Hbe zenon_H109 zenon_Ha5 zenon_H149 zenon_H172 zenon_H20c zenon_H104 zenon_Hc5 zenon_H1d zenon_H37 zenon_Hbc zenon_H145. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.26 apply (zenon_L28_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.26 apply (zenon_L303_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.26 apply (zenon_L488_); trivial. % 11.04/11.26 exact (zenon_H145 zenon_H133). % 11.04/11.26 (* end of lemma zenon_L489_ *) % 11.04/11.26 assert (zenon_L490_ : ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((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 (e2) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> False). % 11.04/11.26 do 0 intro. intros zenon_Hd1 zenon_H121 zenon_H75 zenon_H68 zenon_Hdd zenon_He3 zenon_H1f9 zenon_H40 zenon_H46 zenon_H22 zenon_Ha1 zenon_H219 zenon_H132 zenon_H200 zenon_H81 zenon_H88 zenon_H13b zenon_H1dd zenon_H70 zenon_H1da zenon_H2a zenon_H138 zenon_H140 zenon_H16b zenon_H170 zenon_H67 zenon_H1f0 zenon_H2d zenon_Hbe zenon_H109 zenon_Ha5 zenon_H149 zenon_H172 zenon_H20c zenon_H104 zenon_Hc5 zenon_H1d zenon_H37 zenon_Hbc zenon_H145. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.26 apply (zenon_L28_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.26 apply (zenon_L338_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.26 apply (zenon_L488_); trivial. % 11.04/11.26 exact (zenon_H145 zenon_H133). % 11.04/11.26 (* end of lemma zenon_L490_ *) % 11.04/11.26 assert (zenon_L491_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H20c zenon_H1a7 zenon_H22e zenon_Hc3 zenon_H1f0 zenon_H186 zenon_H1d zenon_H37. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ]. % 11.04/11.26 apply (zenon_L392_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ]. % 11.04/11.26 apply (zenon_L305_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ]. % 11.04/11.26 apply (zenon_L457_); trivial. % 11.04/11.26 apply (zenon_L348_); trivial. % 11.04/11.26 (* end of lemma zenon_L491_ *) % 11.04/11.26 assert (zenon_L492_ : (((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) (e1)) = (e1))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H1f9 zenon_Ha2 zenon_Ha1 zenon_H40 zenon_H46 zenon_H22 zenon_He9 zenon_Hcb. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ]. % 11.04/11.26 apply (zenon_L35_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ]. % 11.04/11.26 exact (zenon_H40 zenon_H3f). % 11.04/11.26 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ]. % 11.04/11.26 apply (zenon_L253_); trivial. % 11.04/11.26 apply (zenon_L303_); trivial. % 11.04/11.26 (* end of lemma zenon_L492_ *) % 11.04/11.26 assert (zenon_L493_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False). % 11.04/11.26 do 0 intro. intros zenon_H13b zenon_H37 zenon_H88 zenon_Hd1 zenon_H121 zenon_Ha1 zenon_H22 zenon_H46 zenon_H40 zenon_Ha2 zenon_H1f9 zenon_H145. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.26 apply (zenon_L28_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.26 apply (zenon_L338_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.26 apply (zenon_L487_); trivial. % 11.04/11.26 exact (zenon_H145 zenon_H133). % 11.04/11.26 (* end of lemma zenon_L493_ *) % 11.04/11.26 assert (zenon_L494_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e1))) -> (~((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) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.04/11.26 do 0 intro. intros zenon_Hd3 zenon_H37 zenon_H1d zenon_He9 zenon_H22 zenon_H46 zenon_H40 zenon_Ha1 zenon_Ha2 zenon_H1f9 zenon_H10c zenon_H149. % 11.04/11.26 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.26 apply (zenon_L348_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.26 apply (zenon_L344_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.26 apply (zenon_L492_); trivial. % 11.04/11.26 apply (zenon_L308_); trivial. % 11.04/11.26 (* end of lemma zenon_L494_ *) % 11.04/11.26 assert (zenon_L495_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H132 zenon_H46 zenon_H95. % 11.04/11.26 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e3) (e1)))). % 11.04/11.26 intro zenon_D_pnotp. % 11.04/11.26 apply zenon_H132. % 11.04/11.26 rewrite <- zenon_D_pnotp. % 11.04/11.26 exact zenon_H46. % 11.04/11.26 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H139]. % 11.04/11.26 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 11.04/11.26 congruence. % 11.04/11.26 apply zenon_H26. apply refl_equal. % 11.04/11.26 apply zenon_H139. apply sym_equal. exact zenon_H95. % 11.04/11.26 (* end of lemma zenon_L495_ *) % 11.04/11.26 assert (zenon_L496_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((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 (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H9e zenon_H37 zenon_H122 zenon_H125 zenon_H156 zenon_H219 zenon_H200 zenon_H81 zenon_H88 zenon_H13b zenon_H1dd zenon_H70 zenon_H1da zenon_H2a zenon_H145 zenon_H138 zenon_H140 zenon_H16b zenon_H170 zenon_H1f0 zenon_H2d zenon_Hbe zenon_Ha5 zenon_H149 zenon_H172 zenon_H20c zenon_H104 zenon_Hc5 zenon_H1d zenon_H127 zenon_H46 zenon_H132 zenon_H143 zenon_H5d zenon_Hf5 zenon_H67 zenon_Hdd zenon_He3 zenon_Hf8 zenon_H109 zenon_H68. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.04/11.26 apply (zenon_L486_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.04/11.26 apply (zenon_L495_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.04/11.26 apply (zenon_L473_); trivial. % 11.04/11.26 apply (zenon_L129_); trivial. % 11.04/11.26 (* end of lemma zenon_L496_ *) % 11.04/11.26 assert (zenon_L497_ : ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> False). % 11.04/11.26 do 0 intro. intros zenon_Hcb zenon_He9 zenon_H68 zenon_H109 zenon_Hf8 zenon_He3 zenon_Hdd zenon_H67 zenon_Hf5 zenon_H143 zenon_H132 zenon_H46 zenon_H127 zenon_H1d zenon_Hc5 zenon_H104 zenon_H20c zenon_H172 zenon_H149 zenon_Ha5 zenon_Hbe zenon_H2d zenon_H1f0 zenon_H170 zenon_H16b zenon_H140 zenon_H138 zenon_H2a zenon_H1da zenon_H70 zenon_H1dd zenon_H13b zenon_H88 zenon_H81 zenon_H200 zenon_H219 zenon_H156 zenon_H125 zenon_H122 zenon_H37 zenon_H9e zenon_H145. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.26 apply (zenon_L28_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.26 apply (zenon_L303_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.26 apply (zenon_L496_); trivial. % 11.04/11.26 exact (zenon_H145 zenon_H133). % 11.04/11.26 (* end of lemma zenon_L497_ *) % 11.04/11.26 assert (zenon_L498_ : ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (e3))) -> False). % 11.04/11.26 do 0 intro. intros zenon_Hd1 zenon_H121 zenon_H68 zenon_H109 zenon_Hf8 zenon_He3 zenon_Hdd zenon_H67 zenon_Hf5 zenon_H143 zenon_H132 zenon_H46 zenon_H127 zenon_H1d zenon_Hc5 zenon_H104 zenon_H20c zenon_H172 zenon_H149 zenon_Ha5 zenon_Hbe zenon_H2d zenon_H1f0 zenon_H170 zenon_H16b zenon_H140 zenon_H138 zenon_H2a zenon_H1da zenon_H70 zenon_H1dd zenon_H13b zenon_H88 zenon_H81 zenon_H200 zenon_H219 zenon_H156 zenon_H125 zenon_H122 zenon_H37 zenon_H9e zenon_H145. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.26 apply (zenon_L28_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.26 apply (zenon_L338_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.26 apply (zenon_L496_); trivial. % 11.04/11.26 exact (zenon_H145 zenon_H133). % 11.04/11.26 (* end of lemma zenon_L498_ *) % 11.04/11.26 assert (zenon_L499_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.04/11.26 do 0 intro. intros zenon_H244 zenon_H38 zenon_H186 zenon_Hca zenon_H121 zenon_H65 zenon_Hf7 zenon_H68 zenon_H81. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H101 | zenon_intro zenon_H245 ]. % 11.04/11.26 apply (zenon_L295_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H246 ]. % 11.04/11.26 apply (zenon_L338_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ]. % 11.04/11.26 apply (zenon_L67_); trivial. % 11.04/11.26 apply (zenon_L265_); trivial. % 11.04/11.26 (* end of lemma zenon_L499_ *) % 11.04/11.26 assert (zenon_L500_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False). % 11.04/11.26 do 0 intro. intros zenon_Hf8 zenon_He3 zenon_Hdd zenon_H67 zenon_H9c zenon_Hf5 zenon_Hf7 zenon_H74. % 11.04/11.26 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ]. % 11.04/11.26 apply (zenon_L155_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ]. % 11.04/11.26 exact (zenon_H67 zenon_H66). % 11.04/11.26 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ]. % 11.04/11.26 apply (zenon_L163_); trivial. % 11.04/11.26 apply (zenon_L67_); trivial. % 11.04/11.26 (* end of lemma zenon_L500_ *) % 11.04/11.26 assert (zenon_L501_ : ((~((op (e3) (e1)) = (e3)))\/((op (e3) (e3)) = (e1))) -> ((op (e3) (e3)) = (e0)) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H220 zenon_H68 zenon_H2d zenon_H133. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ]. % 11.04/11.26 exact (zenon_H145 zenon_H133). % 11.04/11.26 apply (zenon_L165_); trivial. % 11.04/11.26 (* end of lemma zenon_L501_ *) % 11.04/11.26 assert (zenon_L502_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (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)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H127 zenon_H104 zenon_He5 zenon_H125 zenon_H156 zenon_H130 zenon_H12a zenon_H122 zenon_H37. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ]. % 11.04/11.26 apply (zenon_L154_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ]. % 11.04/11.26 apply (zenon_L428_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ]. % 11.04/11.26 apply (zenon_L274_); trivial. % 11.04/11.26 apply (zenon_L470_); trivial. % 11.04/11.26 (* end of lemma zenon_L502_ *) % 11.04/11.26 assert (zenon_L503_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H1da zenon_H2a zenon_H2d zenon_H66 zenon_Hec zenon_H127 zenon_H104 zenon_He5 zenon_H125 zenon_H130 zenon_H12a zenon_H122 zenon_H37. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.26 exact (zenon_H2a zenon_H1e). % 11.04/11.26 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.26 apply (zenon_L56_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.26 apply (zenon_L398_); trivial. % 11.04/11.26 apply (zenon_L502_); trivial. % 11.04/11.26 (* end of lemma zenon_L503_ *) % 11.04/11.26 assert (zenon_L504_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H219 zenon_H22 zenon_H2d zenon_He3 zenon_H1da zenon_H2a zenon_H1f7 zenon_H3f zenon_H20c zenon_H104 zenon_H80 zenon_Hc5 zenon_H1d zenon_H37. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.04/11.26 exact (zenon_H2a zenon_H1e). % 11.04/11.26 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.04/11.26 apply (zenon_L380_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.04/11.26 apply (zenon_L467_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.26 exact (zenon_H2a zenon_H1e). % 11.04/11.26 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.26 apply (zenon_L383_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.26 apply (zenon_L483_); trivial. % 11.04/11.26 apply (zenon_L484_); trivial. % 11.04/11.26 (* end of lemma zenon_L504_ *) % 11.04/11.26 assert (zenon_L505_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H127 zenon_H1d zenon_H186 zenon_Hc5 zenon_H156 zenon_H104 zenon_H20c zenon_H66 zenon_Hec zenon_H130 zenon_H12a zenon_H122 zenon_H37. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ]. % 11.04/11.26 apply (zenon_L484_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ]. % 11.04/11.26 apply (zenon_L398_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ]. % 11.04/11.26 apply (zenon_L274_); trivial. % 11.04/11.26 apply (zenon_L470_); trivial. % 11.04/11.26 (* end of lemma zenon_L505_ *) % 11.04/11.26 assert (zenon_L506_ : ((~((op (e0) (e1)) = (e0)))\/((op (e0) (e0)) = (e1))) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> False). % 11.04/11.26 do 0 intro. intros zenon_H21f zenon_H37 zenon_H38 zenon_H23. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ]. % 11.04/11.26 exact (zenon_H1fd zenon_H23). % 11.04/11.26 apply (zenon_L8_); trivial. % 11.04/11.26 (* end of lemma zenon_L506_ *) % 11.04/11.26 assert (zenon_L507_ : (((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\(((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))/\(((~((op (e0) (e1)) = (e0)))\/((op (e0) (e0)) = (e1)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e1)) = (e2)))\/((op (e2) (e2)) = (e1)))/\((~((op (e3) (e1)) = (e3)))\/((op (e3) (e3)) = (e1)))))))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (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 (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (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 (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((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) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False). % 11.04/11.26 do 0 intro. intros zenon_H27 zenon_H81 zenon_H37 zenon_H16f zenon_H169 zenon_H219 zenon_H1f0 zenon_H140 zenon_Hbe zenon_H1da zenon_H200 zenon_H70 zenon_H1dd zenon_H170 zenon_H138 zenon_H132 zenon_H172 zenon_H117 zenon_H1a9 zenon_H1d zenon_He9 zenon_H121 zenon_H38 zenon_Hd3 zenon_H1b9 zenon_Hf5 zenon_Hec zenon_Hdd zenon_Hcc zenon_H143 zenon_Hf8 zenon_H1d4 zenon_H20c zenon_Hc5 zenon_H22e zenon_H1a6 zenon_H1ab zenon_H12d zenon_H22 zenon_H14b zenon_H13b zenon_H88 zenon_H127 zenon_H122 zenon_H104 zenon_H125 zenon_H12a zenon_H16b zenon_H68 zenon_H1fc zenon_H149 zenon_Ha5 zenon_H109 zenon_H180 zenon_H2d zenon_H9e zenon_H244 zenon_Hf7 zenon_H7d zenon_Hbc zenon_H75 zenon_Ha1 zenon_H1f9 zenon_Hd6 zenon_H19e zenon_H41 zenon_H69 zenon_H173 zenon_H162 zenon_Hb9 zenon_H1f7. % 11.04/11.26 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28. % 11.04/11.26 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H248. zenon_intro zenon_H247. % 11.04/11.26 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H21e. zenon_intro zenon_H249. % 11.04/11.26 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H221. zenon_intro zenon_H24a. % 11.04/11.26 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H21f. zenon_intro zenon_H24b. % 11.04/11.26 apply (zenon_and_s _ _ zenon_H24b). zenon_intro zenon_H248. zenon_intro zenon_H24c. % 11.04/11.26 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H21c. zenon_intro zenon_H220. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2a | zenon_intro zenon_H23 ]. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ]. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ]. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ]. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ]. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ]. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.04/11.26 apply (zenon_L468_); trivial. % 11.04/11.26 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.04/11.26 exact (zenon_H1fd zenon_H23). % 11.04/11.26 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.04/11.27 apply (zenon_L153_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.04/11.27 exact (zenon_H2a zenon_H1e). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.27 exact (zenon_H2a zenon_H1e). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.27 apply (zenon_L56_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.27 apply (zenon_L466_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.04/11.27 apply (zenon_L291_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.04/11.27 apply (zenon_L81_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.04/11.27 apply (zenon_L206_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.04/11.27 apply (zenon_L291_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.04/11.27 exact (zenon_H1fd zenon_H23). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.04/11.27 apply (zenon_L469_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.04/11.27 apply (zenon_L471_); trivial. % 11.04/11.27 apply (zenon_L463_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.04/11.27 exact (zenon_H1fd zenon_H23). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.27 apply (zenon_L74_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.27 apply (zenon_L475_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.27 apply (zenon_L348_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.27 apply (zenon_L44_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.27 apply (zenon_L476_); trivial. % 11.04/11.27 apply (zenon_L477_); trivial. % 11.04/11.27 apply (zenon_L478_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.27 apply (zenon_L471_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.27 apply (zenon_L475_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.27 apply (zenon_L348_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ]. % 11.04/11.27 apply (zenon_L479_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ]. % 11.04/11.27 apply (zenon_L89_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ]. % 11.04/11.27 exact (zenon_H67 zenon_H66). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ]. % 11.04/11.27 apply (zenon_L480_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ]. % 11.04/11.27 apply (zenon_L190_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ]. % 11.04/11.27 apply (zenon_L344_); trivial. % 11.04/11.27 apply (zenon_L338_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.27 apply (zenon_L476_); trivial. % 11.04/11.27 apply (zenon_L477_); trivial. % 11.04/11.27 apply (zenon_L478_); trivial. % 11.04/11.27 apply (zenon_L463_); trivial. % 11.04/11.27 apply (zenon_L486_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.04/11.27 apply (zenon_L467_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.27 exact (zenon_H2a zenon_H1e). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.27 apply (zenon_L56_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.04/11.27 apply (zenon_L291_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.04/11.27 apply (zenon_L291_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.04/11.27 apply (zenon_L457_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.04/11.27 apply (zenon_L270_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.04/11.27 exact (zenon_H1fd zenon_H23). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.27 apply (zenon_L348_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.27 apply (zenon_L44_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.27 apply (zenon_L489_); trivial. % 11.04/11.27 apply (zenon_L490_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.27 apply (zenon_L56_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.27 exact (zenon_H40 zenon_H3f). % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.27 apply (zenon_L457_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.27 apply (zenon_L253_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.27 apply (zenon_L348_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.04/11.27 apply (zenon_L84_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.04/11.27 exact (zenon_H1f3 zenon_H130). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.04/11.27 apply (zenon_L140_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ]. % 11.04/11.27 apply (zenon_L491_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ]. % 11.04/11.27 apply (zenon_L449_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ]. % 11.04/11.27 apply (zenon_L231_); trivial. % 11.04/11.27 apply (zenon_L338_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.27 apply (zenon_L492_); trivial. % 11.04/11.27 apply (zenon_L493_); trivial. % 11.04/11.27 apply (zenon_L494_); trivial. % 11.04/11.27 apply (zenon_L449_); trivial. % 11.04/11.27 apply (zenon_L463_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.04/11.27 apply (zenon_L206_); trivial. % 11.04/11.27 apply (zenon_L455_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.04/11.27 apply (zenon_L291_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.04/11.27 apply (zenon_L291_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.04/11.27 apply (zenon_L457_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.04/11.27 exact (zenon_H1fd zenon_H23). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.27 apply (zenon_L348_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.27 apply (zenon_L44_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.27 apply (zenon_L497_); trivial. % 11.04/11.27 apply (zenon_L498_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.27 apply (zenon_L348_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 11.04/11.27 apply (zenon_L470_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 11.04/11.27 apply (zenon_L496_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 11.04/11.27 apply (zenon_L499_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.04/11.27 apply (zenon_L84_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.04/11.27 apply (zenon_L495_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.04/11.27 apply (zenon_L500_); trivial. % 11.04/11.27 apply (zenon_L129_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.27 apply (zenon_L492_); trivial. % 11.04/11.27 apply (zenon_L498_); trivial. % 11.04/11.27 apply (zenon_L463_); trivial. % 11.04/11.27 apply (zenon_L486_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.04/11.27 apply (zenon_L206_); trivial. % 11.04/11.27 apply (zenon_L406_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.04/11.27 apply (zenon_L485_); trivial. % 11.04/11.27 apply (zenon_L404_); trivial. % 11.04/11.27 apply (zenon_L21_); trivial. % 11.04/11.27 exact (zenon_H15d zenon_H6e). % 11.04/11.27 exact (zenon_H67 zenon_H66). % 11.04/11.27 exact (zenon_H2a zenon_H1e). % 11.04/11.27 apply (zenon_L501_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ]. % 11.04/11.27 exact (zenon_H1f3 zenon_H130). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.04/11.27 apply (zenon_L468_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.04/11.27 exact (zenon_H1fd zenon_H23). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.04/11.27 apply (zenon_L153_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.04/11.27 apply (zenon_L503_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.04/11.27 apply (zenon_L154_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.27 apply (zenon_L28_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.27 apply (zenon_L44_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.27 apply (zenon_L389_); trivial. % 11.04/11.27 exact (zenon_H145 zenon_H133). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.04/11.27 apply (zenon_L481_); trivial. % 11.04/11.27 apply (zenon_L228_); trivial. % 11.04/11.27 apply (zenon_L404_); trivial. % 11.04/11.27 apply (zenon_L21_); trivial. % 11.04/11.27 exact (zenon_H15d zenon_H6e). % 11.04/11.27 exact (zenon_H2a zenon_H1e). % 11.04/11.27 apply (zenon_L501_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.04/11.27 apply (zenon_L468_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.04/11.27 exact (zenon_H1fd zenon_H23). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.04/11.27 apply (zenon_L153_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.04/11.27 exact (zenon_H2a zenon_H1e). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.04/11.27 apply (zenon_L380_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.04/11.27 apply (zenon_L467_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.27 exact (zenon_H2a zenon_H1e). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.27 apply (zenon_L56_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.04/11.27 apply (zenon_L291_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.04/11.27 apply (zenon_L457_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.04/11.27 apply (zenon_L270_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H163 | zenon_intro zenon_H17d ]. % 11.04/11.27 apply (zenon_L463_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H141 | zenon_intro zenon_H17e ]. % 11.04/11.27 apply (zenon_L381_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H95 | zenon_intro zenon_H133 ]. % 11.04/11.27 apply (zenon_L93_); trivial. % 11.04/11.27 exact (zenon_H145 zenon_H133). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ]. % 11.04/11.27 apply (zenon_L428_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ]. % 11.04/11.27 apply (zenon_L257_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ]. % 11.04/11.27 exact (zenon_H67 zenon_H66). % 11.04/11.27 apply (zenon_L182_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.04/11.27 apply (zenon_L504_); trivial. % 11.04/11.27 apply (zenon_L404_); trivial. % 11.04/11.27 apply (zenon_L21_); trivial. % 11.04/11.27 exact (zenon_H15d zenon_H6e). % 11.04/11.27 exact (zenon_H2a zenon_H1e). % 11.04/11.27 apply (zenon_L501_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ]. % 11.04/11.27 exact (zenon_H1f3 zenon_H130). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.04/11.27 exact (zenon_H2a zenon_H1e). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.04/11.27 apply (zenon_L380_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.04/11.27 apply (zenon_L98_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.27 exact (zenon_H2a zenon_H1e). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.27 apply (zenon_L383_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.27 apply (zenon_L398_); trivial. % 11.04/11.27 apply (zenon_L505_); trivial. % 11.04/11.27 apply (zenon_L506_); trivial. % 11.04/11.27 (* end of lemma zenon_L507_ *) % 11.04/11.27 assert (zenon_L508_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.27 do 0 intro. intros zenon_H180 zenon_H171 zenon_H109 zenon_H23 zenon_Ha5 zenon_H42 zenon_H123 zenon_H37. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.04/11.27 exact (zenon_H171 zenon_H175). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.04/11.27 apply (zenon_L388_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.04/11.27 apply (zenon_L36_); trivial. % 11.04/11.27 apply (zenon_L455_); trivial. % 11.04/11.27 (* end of lemma zenon_L508_ *) % 11.04/11.27 assert (zenon_L509_ : ((op (e3) (e3)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H68 zenon_Hf0 zenon_H1ca. % 11.04/11.27 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ]. % 11.04/11.27 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e2)) = (op (e3) (e3)))). % 11.04/11.27 intro zenon_D_pnotp. % 11.04/11.27 apply zenon_H1ca. % 11.04/11.27 rewrite <- zenon_D_pnotp. % 11.04/11.27 exact zenon_H6a. % 11.04/11.27 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.27 cut (((op (e3) (e3)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 11.04/11.27 congruence. % 11.04/11.27 cut (((op (e3) (e3)) = (e0)) = ((op (e3) (e3)) = (op (e3) (e2)))). % 11.04/11.27 intro zenon_D_pnotp. % 11.04/11.27 apply zenon_H1cb. % 11.04/11.27 rewrite <- zenon_D_pnotp. % 11.04/11.27 exact zenon_H68. % 11.04/11.27 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf6]. % 11.04/11.27 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.04/11.27 congruence. % 11.04/11.27 apply zenon_H6b. apply refl_equal. % 11.04/11.27 apply zenon_Hf6. apply sym_equal. exact zenon_Hf0. % 11.04/11.27 apply zenon_H6b. apply refl_equal. % 11.04/11.27 apply zenon_H6b. apply refl_equal. % 11.04/11.27 (* end of lemma zenon_L509_ *) % 11.04/11.27 assert (zenon_L510_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H1f4 zenon_H1ca zenon_H68 zenon_H156 zenon_H158 zenon_H95 zenon_H140 zenon_H176. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ]. % 11.04/11.27 apply (zenon_L509_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ]. % 11.04/11.27 apply (zenon_L425_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ]. % 11.04/11.27 apply (zenon_L174_); trivial. % 11.04/11.27 exact (zenon_H176 zenon_H153). % 11.04/11.27 (* end of lemma zenon_L510_ *) % 11.04/11.27 assert (zenon_L511_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H186 zenon_H42 zenon_H24d. % 11.04/11.27 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H33 | zenon_intro zenon_H34 ]. % 11.04/11.27 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e2)) = (op (e0) (e3)))). % 11.04/11.27 intro zenon_D_pnotp. % 11.04/11.27 apply zenon_H24d. % 11.04/11.27 rewrite <- zenon_D_pnotp. % 11.04/11.27 exact zenon_H33. % 11.04/11.27 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34]. % 11.04/11.27 cut (((op (e0) (e3)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H24e]. % 11.04/11.27 congruence. % 11.04/11.27 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e0) (e2)))). % 11.04/11.27 intro zenon_D_pnotp. % 11.04/11.27 apply zenon_H24e. % 11.04/11.27 rewrite <- zenon_D_pnotp. % 11.04/11.27 exact zenon_H186. % 11.04/11.27 cut (((e1) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 11.04/11.27 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34]. % 11.04/11.27 congruence. % 11.04/11.27 apply zenon_H34. apply refl_equal. % 11.04/11.27 apply zenon_H43. apply sym_equal. exact zenon_H42. % 11.04/11.27 apply zenon_H34. apply refl_equal. % 11.04/11.27 apply zenon_H34. apply refl_equal. % 11.04/11.27 (* end of lemma zenon_L511_ *) % 11.04/11.27 assert (zenon_L512_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> False). % 11.04/11.27 do 0 intro. intros zenon_H1dd zenon_H9b zenon_H10d. % 11.04/11.27 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e1) (e2)))). % 11.04/11.27 intro zenon_D_pnotp. % 11.04/11.27 apply zenon_H1dd. % 11.04/11.27 rewrite <- zenon_D_pnotp. % 11.04/11.27 exact zenon_H9b. % 11.04/11.27 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H112]. % 11.04/11.27 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 11.04/11.27 congruence. % 11.04/11.27 apply zenon_H87. apply refl_equal. % 11.04/11.27 apply zenon_H112. apply sym_equal. exact zenon_H10d. % 11.04/11.27 (* end of lemma zenon_L512_ *) % 11.04/11.27 assert (zenon_L513_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.27 do 0 intro. intros zenon_He1 zenon_He0 zenon_H24d zenon_H186 zenon_H10d zenon_H1dd zenon_H41 zenon_H37. % 11.04/11.27 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 11.04/11.27 exact (zenon_He0 zenon_He3). % 11.04/11.27 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ]. % 11.04/11.27 apply (zenon_L511_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ]. % 11.04/11.27 apply (zenon_L512_); trivial. % 11.04/11.27 apply (zenon_L58_); trivial. % 11.04/11.27 (* end of lemma zenon_L513_ *) % 11.04/11.27 assert (zenon_L514_ : (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e1)) = (e1)) -> False). % 11.04/11.27 do 0 intro. intros zenon_H38 zenon_Hca zenon_H3f. % 11.04/11.27 cut (((op (e1) (e1)) = (e3)) = ((e1) = (e3))). % 11.04/11.27 intro zenon_D_pnotp. % 11.04/11.27 apply zenon_H38. % 11.04/11.27 rewrite <- zenon_D_pnotp. % 11.04/11.27 exact zenon_Hca. % 11.04/11.27 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.04/11.27 cut (((op (e1) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 11.04/11.27 congruence. % 11.04/11.27 exact (zenon_H40 zenon_H3f). % 11.04/11.27 apply zenon_H3a. apply refl_equal. % 11.04/11.27 (* end of lemma zenon_L514_ *) % 11.04/11.27 assert (zenon_L515_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False). % 11.04/11.27 do 0 intro. intros zenon_H12d zenon_H23 zenon_Ha2. % 11.04/11.27 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e2) (e1)))). % 11.04/11.27 intro zenon_D_pnotp. % 11.04/11.27 apply zenon_H12d. % 11.04/11.27 rewrite <- zenon_D_pnotp. % 11.04/11.27 exact zenon_H23. % 11.04/11.27 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 11.04/11.27 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 11.04/11.27 congruence. % 11.04/11.27 apply zenon_H26. apply refl_equal. % 11.04/11.27 apply zenon_Ha3. apply sym_equal. exact zenon_Ha2. % 11.04/11.27 (* end of lemma zenon_L515_ *) % 11.04/11.27 assert (zenon_L516_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.27 do 0 intro. intros zenon_He1 zenon_He0 zenon_H66 zenon_Hdd zenon_H9c zenon_H84 zenon_H41 zenon_H37. % 11.04/11.27 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 11.04/11.27 exact (zenon_He0 zenon_He3). % 11.04/11.27 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ]. % 11.04/11.27 apply (zenon_L98_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ]. % 11.04/11.27 apply (zenon_L33_); trivial. % 11.04/11.27 apply (zenon_L58_); trivial. % 11.04/11.27 (* end of lemma zenon_L516_ *) % 11.04/11.27 assert (zenon_L517_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H1f4 zenon_H1ca zenon_H68 zenon_H156 zenon_H158 zenon_H37 zenon_H41 zenon_H84 zenon_Hdd zenon_H66 zenon_He0 zenon_He1 zenon_H176. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ]. % 11.04/11.27 apply (zenon_L509_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ]. % 11.04/11.27 apply (zenon_L425_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ]. % 11.04/11.27 apply (zenon_L516_); trivial. % 11.04/11.27 exact (zenon_H176 zenon_H153). % 11.04/11.27 (* end of lemma zenon_L517_ *) % 11.04/11.27 assert (zenon_L518_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H1f4 zenon_H1ca zenon_H68 zenon_H156 zenon_H8d zenon_H158 zenon_H176. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ]. % 11.04/11.27 apply (zenon_L509_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ]. % 11.04/11.27 apply (zenon_L425_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ]. % 11.04/11.27 apply (zenon_L252_); trivial. % 11.04/11.27 exact (zenon_H176 zenon_H153). % 11.04/11.27 (* end of lemma zenon_L518_ *) % 11.04/11.27 assert (zenon_L519_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False). % 11.04/11.27 do 0 intro. intros zenon_Hfd zenon_He0 zenon_H24 zenon_He9 zenon_H80 zenon_Hec zenon_H68 zenon_H1ca. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ]. % 11.04/11.27 exact (zenon_He0 zenon_He3). % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ]. % 11.04/11.27 apply (zenon_L59_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ]. % 11.04/11.27 apply (zenon_L60_); trivial. % 11.04/11.27 apply (zenon_L509_); trivial. % 11.04/11.27 (* end of lemma zenon_L519_ *) % 11.04/11.27 assert (zenon_L520_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False). % 11.04/11.27 do 0 intro. intros zenon_H24f zenon_H65. % 11.04/11.27 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 11.04/11.27 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.27 congruence. % 11.04/11.27 apply zenon_H45. apply refl_equal. % 11.04/11.27 exact (zenon_H1a4 zenon_H65). % 11.04/11.27 (* end of lemma zenon_L520_ *) % 11.04/11.27 assert (zenon_L521_ : ((op (e2) (e3)) = (e1)) -> ((op (e2) (e2)) = (e3)) -> (~((e1) = (op (e2) (op (e2) (e2))))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H18e zenon_H65 zenon_H212. % 11.04/11.27 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 11.04/11.27 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e1) = (op (e2) (op (e2) (e2))))). % 11.04/11.27 intro zenon_D_pnotp. % 11.04/11.27 apply zenon_H212. % 11.04/11.27 rewrite <- zenon_D_pnotp. % 11.04/11.27 exact zenon_Had. % 11.04/11.27 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.04/11.27 cut (((op (e2) (op (e2) (e2))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H213]. % 11.04/11.27 congruence. % 11.04/11.27 cut (((op (e2) (e3)) = (e1)) = ((op (e2) (op (e2) (e2))) = (e1))). % 11.04/11.27 intro zenon_D_pnotp. % 11.04/11.27 apply zenon_H213. % 11.04/11.27 rewrite <- zenon_D_pnotp. % 11.04/11.27 exact zenon_H18e. % 11.04/11.27 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.27 cut (((op (e2) (e3)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H250]. % 11.04/11.27 congruence. % 11.04/11.27 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 11.04/11.27 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e3)) = (op (e2) (op (e2) (e2))))). % 11.04/11.27 intro zenon_D_pnotp. % 11.04/11.27 apply zenon_H250. % 11.04/11.27 rewrite <- zenon_D_pnotp. % 11.04/11.27 exact zenon_Had. % 11.04/11.27 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.04/11.27 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H24f]. % 11.04/11.27 congruence. % 11.04/11.27 apply (zenon_L520_); trivial. % 11.04/11.27 apply zenon_Hae. apply refl_equal. % 11.04/11.27 apply zenon_Hae. apply refl_equal. % 11.04/11.27 apply zenon_H2f. apply refl_equal. % 11.04/11.27 apply zenon_Hae. apply refl_equal. % 11.04/11.27 apply zenon_Hae. apply refl_equal. % 11.04/11.27 (* end of lemma zenon_L521_ *) % 11.04/11.27 assert (zenon_L522_ : ((op (e1) (e2)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> ((op (e2) (e2)) = (e3)) -> False). % 11.04/11.27 do 0 intro. intros zenon_Hea zenon_H18e zenon_H65. % 11.04/11.27 apply (zenon_notand_s _ _ ax22); [ zenon_intro zenon_H252 | zenon_intro zenon_H251 ]. % 11.04/11.27 apply zenon_H252. apply sym_equal. exact zenon_H65. % 11.04/11.27 apply (zenon_notand_s _ _ zenon_H251); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H212 ]. % 11.04/11.27 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ]. % 11.04/11.27 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))). % 11.04/11.27 intro zenon_D_pnotp. % 11.04/11.27 apply zenon_Hf3. % 11.04/11.27 rewrite <- zenon_D_pnotp. % 11.04/11.27 exact zenon_Hb4. % 11.04/11.27 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5]. % 11.04/11.27 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hf4]. % 11.04/11.27 congruence. % 11.04/11.27 cut (((op (e1) (e2)) = (e0)) = ((op (op (e2) (op (e2) (e2))) (e2)) = (e0))). % 11.04/11.27 intro zenon_D_pnotp. % 11.04/11.27 apply zenon_Hf4. % 11.04/11.27 rewrite <- zenon_D_pnotp. % 11.04/11.27 exact zenon_Hea. % 11.04/11.27 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.04/11.27 cut (((op (e1) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H217]. % 11.04/11.27 congruence. % 11.04/11.27 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ]. % 11.04/11.27 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((op (e1) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))). % 11.04/11.27 intro zenon_D_pnotp. % 11.04/11.27 apply zenon_H217. % 11.04/11.27 rewrite <- zenon_D_pnotp. % 11.04/11.27 exact zenon_Hb4. % 11.04/11.27 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5]. % 11.04/11.27 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H218]. % 11.04/11.27 congruence. % 11.04/11.27 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.04/11.27 cut (((op (e2) (op (e2) (e2))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H213]. % 11.04/11.27 congruence. % 11.04/11.27 cut (((op (e2) (e3)) = (e1)) = ((op (e2) (op (e2) (e2))) = (e1))). % 11.04/11.27 intro zenon_D_pnotp. % 11.04/11.27 apply zenon_H213. % 11.04/11.27 rewrite <- zenon_D_pnotp. % 11.04/11.27 exact zenon_H18e. % 11.04/11.27 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.04/11.27 cut (((op (e2) (e3)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H250]. % 11.04/11.27 congruence. % 11.04/11.27 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 11.04/11.27 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e3)) = (op (e2) (op (e2) (e2))))). % 11.04/11.27 intro zenon_D_pnotp. % 11.04/11.27 apply zenon_H250. % 11.04/11.27 rewrite <- zenon_D_pnotp. % 11.04/11.27 exact zenon_Had. % 11.04/11.27 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.04/11.27 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H24f]. % 11.04/11.27 congruence. % 11.04/11.27 apply (zenon_L520_); trivial. % 11.04/11.27 apply zenon_Hae. apply refl_equal. % 11.04/11.27 apply zenon_Hae. apply refl_equal. % 11.04/11.27 apply zenon_H2f. apply refl_equal. % 11.04/11.27 apply zenon_H45. apply refl_equal. % 11.04/11.27 apply zenon_Hb5. apply refl_equal. % 11.04/11.27 apply zenon_Hb5. apply refl_equal. % 11.04/11.27 apply zenon_H2b. apply refl_equal. % 11.04/11.27 apply zenon_Hb5. apply refl_equal. % 11.04/11.27 apply zenon_Hb5. apply refl_equal. % 11.04/11.27 apply (zenon_L521_); trivial. % 11.04/11.27 (* end of lemma zenon_L522_ *) % 11.04/11.27 assert (zenon_L523_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.27 do 0 intro. intros zenon_He1 zenon_He0 zenon_H66 zenon_Hdd zenon_H10d zenon_H1dd zenon_H41 zenon_H37. % 11.04/11.27 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 11.04/11.27 exact (zenon_He0 zenon_He3). % 11.04/11.27 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ]. % 11.04/11.27 apply (zenon_L98_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ]. % 11.04/11.27 apply (zenon_L512_); trivial. % 11.04/11.27 apply (zenon_L58_); trivial. % 11.04/11.27 (* end of lemma zenon_L523_ *) % 11.04/11.27 assert (zenon_L524_ : (((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) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False). % 11.04/11.27 do 0 intro. intros zenon_Hf8 zenon_H80 zenon_Hec zenon_H37 zenon_H41 zenon_H1dd zenon_H10d zenon_Hdd zenon_He0 zenon_He1 zenon_Hf9 zenon_Hf7 zenon_H74. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ]. % 11.04/11.27 apply (zenon_L60_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ]. % 11.04/11.27 apply (zenon_L523_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ]. % 11.04/11.27 exact (zenon_Hf9 zenon_Hfc). % 11.04/11.27 apply (zenon_L67_); trivial. % 11.04/11.27 (* end of lemma zenon_L524_ *) % 11.04/11.27 assert (zenon_L525_ : (((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) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False). % 11.04/11.27 do 0 intro. intros zenon_Hf8 zenon_H80 zenon_Hec zenon_H37 zenon_H41 zenon_H84 zenon_H9c zenon_Hdd zenon_He0 zenon_He1 zenon_Hf9 zenon_Hf7 zenon_H74. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ]. % 11.04/11.27 apply (zenon_L60_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ]. % 11.04/11.27 apply (zenon_L516_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ]. % 11.04/11.27 exact (zenon_Hf9 zenon_Hfc). % 11.04/11.27 apply (zenon_L67_); trivial. % 11.04/11.27 (* end of lemma zenon_L525_ *) % 11.04/11.27 assert (zenon_L526_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> (((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) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H1b9 zenon_Ha5 zenon_H1dd zenon_H7d zenon_H122 zenon_H143 zenon_H42 zenon_H18e zenon_Hea zenon_Hf8 zenon_H80 zenon_Hec zenon_H37 zenon_H41 zenon_H84 zenon_Hdd zenon_He0 zenon_He1 zenon_Hf9 zenon_Hf7. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.04/11.27 apply (zenon_L36_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 11.04/11.27 apply (zenon_L470_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 11.04/11.27 apply (zenon_L100_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 11.04/11.27 apply (zenon_L522_); trivial. % 11.04/11.27 apply (zenon_L524_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.04/11.27 exact (zenon_Hf9 zenon_Hfc). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 11.04/11.27 apply (zenon_L470_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 11.04/11.27 apply (zenon_L100_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 11.04/11.27 apply (zenon_L522_); trivial. % 11.04/11.27 apply (zenon_L525_); trivial. % 11.04/11.27 (* end of lemma zenon_L526_ *) % 11.04/11.27 assert (zenon_L527_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e2)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> (((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) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H1d4 zenon_H108 zenon_H3f zenon_Ha1 zenon_H1b9 zenon_Ha5 zenon_H1dd zenon_H7d zenon_H122 zenon_H143 zenon_H42 zenon_Hea zenon_Hf8 zenon_H80 zenon_Hec zenon_H37 zenon_H41 zenon_H84 zenon_Hdd zenon_He0 zenon_He1 zenon_Hf9 zenon_Hf7. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ]. % 11.04/11.27 apply (zenon_L455_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ]. % 11.04/11.27 apply (zenon_L257_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ]. % 11.04/11.27 apply (zenon_L98_); trivial. % 11.04/11.27 apply (zenon_L526_); trivial. % 11.04/11.27 (* end of lemma zenon_L527_ *) % 11.04/11.27 assert (zenon_L528_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H225 zenon_H37 zenon_H41 zenon_Hca zenon_He9 zenon_H74 zenon_Hf7 zenon_H176. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ]. % 11.04/11.27 apply (zenon_L58_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ]. % 11.04/11.27 apply (zenon_L303_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ]. % 11.04/11.27 apply (zenon_L67_); trivial. % 11.04/11.27 exact (zenon_H176 zenon_H153). % 11.04/11.27 (* end of lemma zenon_L528_ *) % 11.04/11.27 assert (zenon_L529_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H7d zenon_H122 zenon_Ha1 zenon_H81 zenon_H68 zenon_H121 zenon_H108 zenon_H149 zenon_H244 zenon_H225 zenon_H37 zenon_H41 zenon_Hca zenon_He9 zenon_Hf7 zenon_H176. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 11.04/11.27 apply (zenon_L470_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 11.04/11.27 apply (zenon_L323_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H101 | zenon_intro zenon_H245 ]. % 11.04/11.27 apply (zenon_L184_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H246 ]. % 11.04/11.27 apply (zenon_L338_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ]. % 11.04/11.27 apply (zenon_L67_); trivial. % 11.04/11.27 apply (zenon_L265_); trivial. % 11.04/11.27 apply (zenon_L528_); trivial. % 11.04/11.27 (* end of lemma zenon_L529_ *) % 11.04/11.27 assert (zenon_L530_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False). % 11.04/11.27 do 0 intro. intros zenon_H1f9 zenon_Hea zenon_H12e zenon_Ha1 zenon_H118 zenon_He9 zenon_Hcb. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ]. % 11.04/11.27 apply (zenon_L59_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ]. % 11.04/11.27 apply (zenon_L257_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ]. % 11.04/11.27 exact (zenon_H118 zenon_H11c). % 11.04/11.27 apply (zenon_L303_); trivial. % 11.04/11.27 (* end of lemma zenon_L530_ *) % 11.04/11.27 assert (zenon_L531_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False). % 11.04/11.27 do 0 intro. intros zenon_H1f9 zenon_Hea zenon_He9 zenon_H1f7 zenon_H1f zenon_H118 zenon_H121 zenon_Hd1. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ]. % 11.04/11.27 apply (zenon_L59_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ]. % 11.04/11.27 apply (zenon_L383_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ]. % 11.04/11.27 exact (zenon_H118 zenon_H11c). % 11.04/11.27 apply (zenon_L338_); trivial. % 11.04/11.27 (* end of lemma zenon_L531_ *) % 11.04/11.27 assert (zenon_L532_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False). % 11.04/11.27 do 0 intro. intros zenon_H1f9 zenon_Hea zenon_H141 zenon_H162 zenon_H118 zenon_He9 zenon_Hcb. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ]. % 11.04/11.27 apply (zenon_L59_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ]. % 11.04/11.27 apply (zenon_L381_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ]. % 11.04/11.27 exact (zenon_H118 zenon_H11c). % 11.04/11.27 apply (zenon_L303_); trivial. % 11.04/11.27 (* end of lemma zenon_L532_ *) % 11.04/11.27 assert (zenon_L533_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False). % 11.04/11.27 do 0 intro. intros zenon_Hfd zenon_He0 zenon_Hd1 zenon_H121 zenon_H118 zenon_H1f zenon_H1f7 zenon_He9 zenon_H1f9 zenon_H80 zenon_Hec zenon_H68 zenon_H1ca. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ]. % 11.04/11.27 exact (zenon_He0 zenon_He3). % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ]. % 11.04/11.27 apply (zenon_L531_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ]. % 11.04/11.27 apply (zenon_L60_); trivial. % 11.04/11.27 apply (zenon_L509_); trivial. % 11.04/11.27 (* end of lemma zenon_L533_ *) % 11.04/11.27 assert (zenon_L534_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False). % 11.04/11.27 do 0 intro. intros zenon_H1f9 zenon_Hea zenon_He9 zenon_H12e zenon_Ha1 zenon_H118 zenon_H121 zenon_Hd1. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H24 | zenon_intro zenon_H1fa ]. % 11.04/11.27 apply (zenon_L59_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H3f | zenon_intro zenon_H1fb ]. % 11.04/11.27 apply (zenon_L257_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_Hca ]. % 11.04/11.27 exact (zenon_H118 zenon_H11c). % 11.04/11.27 apply (zenon_L338_); trivial. % 11.04/11.27 (* end of lemma zenon_L534_ *) % 11.04/11.27 assert (zenon_L535_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e2)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.04/11.27 do 0 intro. intros zenon_H1d4 zenon_H108 zenon_Hd1 zenon_H121 zenon_H118 zenon_Ha1 zenon_He9 zenon_Hea zenon_H1f9 zenon_H176 zenon_He1 zenon_He0 zenon_Hdd zenon_H84 zenon_H41 zenon_H37 zenon_H158 zenon_H156 zenon_H68 zenon_H1ca zenon_H1f4 zenon_H1a6 zenon_H6f. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ]. % 11.04/11.27 apply (zenon_L455_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ]. % 11.04/11.27 apply (zenon_L534_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ]. % 11.04/11.27 apply (zenon_L517_); trivial. % 11.04/11.27 apply (zenon_L190_); trivial. % 11.04/11.27 (* end of lemma zenon_L535_ *) % 11.04/11.27 assert (zenon_L536_ : (((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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.04/11.27 do 0 intro. intros zenon_H146 zenon_H2d zenon_H23 zenon_Hd3 zenon_H1d zenon_Hf7 zenon_H225 zenon_H244 zenon_H149 zenon_H81 zenon_H122 zenon_H7d zenon_H162 zenon_H1d4 zenon_H108 zenon_H121 zenon_H118 zenon_Ha1 zenon_He9 zenon_Hea zenon_H1f9 zenon_H176 zenon_He1 zenon_He0 zenon_Hdd zenon_H84 zenon_H41 zenon_H37 zenon_H158 zenon_H156 zenon_H68 zenon_H1ca zenon_H1f4 zenon_H1a6 zenon_H6f. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H11f | zenon_intro zenon_H147 ]. % 11.04/11.27 apply (zenon_L269_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H3f | zenon_intro zenon_H148 ]. % 11.04/11.27 apply (zenon_L82_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H12e | zenon_intro zenon_H141 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.27 apply (zenon_L348_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.27 apply (zenon_L529_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.27 apply (zenon_L530_); trivial. % 11.04/11.27 apply (zenon_L535_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.27 apply (zenon_L348_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.27 apply (zenon_L529_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.27 apply (zenon_L532_); trivial. % 11.04/11.27 apply (zenon_L535_); trivial. % 11.04/11.27 (* end of lemma zenon_L536_ *) % 11.04/11.27 assert (zenon_L537_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H1a7 zenon_Hea zenon_H10e. % 11.04/11.27 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H10f | zenon_intro zenon_H110 ]. % 11.04/11.27 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e2)) = (op (e1) (e3)))). % 11.04/11.27 intro zenon_D_pnotp. % 11.04/11.27 apply zenon_H10e. % 11.04/11.27 rewrite <- zenon_D_pnotp. % 11.04/11.27 exact zenon_H10f. % 11.04/11.27 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 11.04/11.27 cut (((op (e1) (e3)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H111]. % 11.04/11.27 congruence. % 11.04/11.27 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (e3)) = (op (e1) (e2)))). % 11.04/11.27 intro zenon_D_pnotp. % 11.04/11.27 apply zenon_H111. % 11.04/11.27 rewrite <- zenon_D_pnotp. % 11.04/11.27 exact zenon_H1a7. % 11.04/11.27 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 11.04/11.27 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 11.04/11.27 congruence. % 11.04/11.27 apply zenon_H110. apply refl_equal. % 11.04/11.27 apply zenon_Heb. apply sym_equal. exact zenon_Hea. % 11.04/11.27 apply zenon_H110. apply refl_equal. % 11.04/11.27 apply zenon_H110. apply refl_equal. % 11.04/11.27 (* end of lemma zenon_L537_ *) % 11.04/11.27 assert (zenon_L538_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False). % 11.04/11.27 do 0 intro. intros zenon_Hfd zenon_He0 zenon_H10e zenon_H1a7 zenon_H80 zenon_Hec zenon_H68 zenon_H1ca. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ]. % 11.04/11.27 exact (zenon_He0 zenon_He3). % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ]. % 11.04/11.27 apply (zenon_L537_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ]. % 11.04/11.27 apply (zenon_L60_); trivial. % 11.04/11.27 apply (zenon_L509_); trivial. % 11.04/11.27 (* end of lemma zenon_L538_ *) % 11.04/11.27 assert (zenon_L539_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e3))) -> ((op (e3) (e3)) = (e0)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (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 (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False). % 11.04/11.27 do 0 intro. intros zenon_Hd3 zenon_H1d zenon_H81 zenon_H68 zenon_H225 zenon_H37 zenon_H41 zenon_Hf7 zenon_H176 zenon_H186 zenon_H38 zenon_H244 zenon_Ha1 zenon_H12e zenon_H1f9 zenon_Hea zenon_He9 zenon_H1f7 zenon_H1f zenon_H118 zenon_H121. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.27 apply (zenon_L348_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H101 | zenon_intro zenon_H245 ]. % 11.04/11.27 apply (zenon_L295_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H246 ]. % 11.04/11.27 apply (zenon_L531_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ]. % 11.04/11.27 apply (zenon_L528_); trivial. % 11.04/11.27 apply (zenon_L265_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.27 apply (zenon_L530_); trivial. % 11.04/11.27 apply (zenon_L531_); trivial. % 11.04/11.27 (* end of lemma zenon_L539_ *) % 11.04/11.27 assert (zenon_L540_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H225 zenon_H37 zenon_H41 zenon_He9 zenon_H118 zenon_H162 zenon_H141 zenon_Hea zenon_H1f9 zenon_H74 zenon_Hf7 zenon_H176. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ]. % 11.04/11.27 apply (zenon_L58_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ]. % 11.04/11.27 apply (zenon_L532_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ]. % 11.04/11.27 apply (zenon_L67_); trivial. % 11.04/11.27 exact (zenon_H176 zenon_H153). % 11.04/11.27 (* end of lemma zenon_L540_ *) % 11.04/11.27 assert (zenon_L541_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H244 zenon_H38 zenon_H186 zenon_H121 zenon_H1f zenon_H1f7 zenon_H176 zenon_Hf7 zenon_H1f9 zenon_Hea zenon_H141 zenon_H162 zenon_H118 zenon_He9 zenon_H41 zenon_H37 zenon_H225 zenon_H68 zenon_H81. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H101 | zenon_intro zenon_H245 ]. % 11.04/11.27 apply (zenon_L295_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H246 ]. % 11.04/11.27 apply (zenon_L531_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ]. % 11.04/11.27 apply (zenon_L540_); trivial. % 11.04/11.27 apply (zenon_L265_); trivial. % 11.04/11.27 (* end of lemma zenon_L541_ *) % 11.04/11.27 assert (zenon_L542_ : ((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))) -> ((op (e3) (e3)) = (e0)) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.04/11.27 do 0 intro. intros zenon_H16e zenon_H68 zenon_H109 zenon_H153. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H176 | zenon_intro zenon_H7c ]. % 11.04/11.27 exact (zenon_H176 zenon_H153). % 11.04/11.27 apply (zenon_L129_); trivial. % 11.04/11.27 (* end of lemma zenon_L542_ *) % 11.04/11.27 assert (zenon_L543_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H180 zenon_H171 zenon_H109 zenon_H23 zenon_H42 zenon_H117 zenon_Ha5 zenon_H1f zenon_H118 zenon_Hcc zenon_Hfc zenon_H1a9. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.04/11.27 exact (zenon_H171 zenon_H175). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.04/11.27 apply (zenon_L388_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.04/11.27 apply (zenon_L36_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.27 apply (zenon_L224_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.27 exact (zenon_H118 zenon_H11c). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.27 apply (zenon_L140_); trivial. % 11.04/11.27 apply (zenon_L478_); trivial. % 11.04/11.27 (* end of lemma zenon_L543_ *) % 11.04/11.27 assert (zenon_L544_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.27 do 0 intro. intros zenon_H180 zenon_H171 zenon_H109 zenon_H23 zenon_Hfc zenon_Hdd zenon_H123 zenon_H37. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.04/11.27 exact (zenon_H171 zenon_H175). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.04/11.27 apply (zenon_L388_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.04/11.27 apply (zenon_L145_); trivial. % 11.04/11.27 apply (zenon_L455_); trivial. % 11.04/11.27 (* end of lemma zenon_L544_ *) % 11.04/11.27 assert (zenon_L545_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H180 zenon_H171 zenon_H109 zenon_H23 zenon_Hdd zenon_H117 zenon_H37 zenon_H186 zenon_H118 zenon_Hcc zenon_Hfc zenon_H1a9. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.04/11.27 exact (zenon_H171 zenon_H175). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.04/11.27 apply (zenon_L388_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.04/11.27 apply (zenon_L145_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.27 apply (zenon_L457_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.27 exact (zenon_H118 zenon_H11c). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.27 apply (zenon_L140_); trivial. % 11.04/11.27 apply (zenon_L478_); trivial. % 11.04/11.27 (* end of lemma zenon_L545_ *) % 11.04/11.27 assert (zenon_L546_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.27 do 0 intro. intros zenon_He1 zenon_He0 zenon_Hc3 zenon_H1dd zenon_H9c zenon_H84 zenon_H41 zenon_H37. % 11.04/11.27 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 11.04/11.27 exact (zenon_He0 zenon_He3). % 11.04/11.27 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ]. % 11.04/11.27 apply (zenon_L280_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ]. % 11.04/11.27 apply (zenon_L33_); trivial. % 11.04/11.27 apply (zenon_L58_); trivial. % 11.04/11.27 (* end of lemma zenon_L546_ *) % 11.04/11.27 assert (zenon_L547_ : (((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\(((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2)))))))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (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 (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (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 (e1) (e0)) = (op (e3) (e0)))) -> (((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 (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (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) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H222 zenon_Hf5 zenon_Hcc zenon_H81 zenon_H37 zenon_H16f zenon_H169 zenon_H1a6 zenon_H10e zenon_H200 zenon_H70 zenon_H7d zenon_Hf7 zenon_H143 zenon_Hf8 zenon_H1b9 zenon_H1f7 zenon_H1f9 zenon_H244 zenon_H121 zenon_H225 zenon_H162 zenon_H146 zenon_He9 zenon_Hec zenon_Hfd zenon_H38 zenon_H2d zenon_H1da zenon_H127 zenon_H122 zenon_H12a zenon_H125 zenon_H104 zenon_H1f4 zenon_H140 zenon_H158 zenon_H68 zenon_H1ca zenon_H13a zenon_H109 zenon_Ha5 zenon_H180 zenon_Ha1 zenon_Hdd zenon_H84 zenon_Hb9 zenon_H1d4 zenon_Hc5 zenon_H172 zenon_H117 zenon_H1d zenon_Hbc zenon_H75 zenon_H12d zenon_H20c zenon_H149 zenon_Hd3 zenon_H24d zenon_H1dd zenon_H41 zenon_He1 zenon_H1a9 zenon_Hd6 zenon_H32 zenon_H219 zenon_H88 zenon_H69 zenon_H173 zenon_H1f0 zenon_H19c. % 11.04/11.27 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H224. zenon_intro zenon_H223. % 11.04/11.27 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H254. zenon_intro zenon_H253. % 11.04/11.27 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H256. zenon_intro zenon_H255. % 11.04/11.27 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H258. zenon_intro zenon_H257. % 11.04/11.27 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H16d. zenon_intro zenon_H259. % 11.04/11.27 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H174. zenon_intro zenon_H25a. % 11.04/11.27 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H256. zenon_intro zenon_H16e. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H171 | zenon_intro zenon_He3 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_Hc3 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfc ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H176 | zenon_intro zenon_H7c ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.04/11.27 apply (zenon_L468_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.04/11.27 apply (zenon_L447_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.04/11.27 apply (zenon_L8_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.04/11.27 apply (zenon_L269_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.27 apply (zenon_L8_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.27 apply (zenon_L56_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.27 apply (zenon_L508_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.04/11.27 apply (zenon_L388_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.04/11.27 exact (zenon_H118 zenon_H11c). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.04/11.27 apply (zenon_L502_); trivial. % 11.04/11.27 apply (zenon_L510_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.27 apply (zenon_L158_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.27 apply (zenon_L56_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.27 apply (zenon_L347_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.27 apply (zenon_L457_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.27 exact (zenon_H118 zenon_H11c). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.27 apply (zenon_L513_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.27 apply (zenon_L348_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.27 apply (zenon_L514_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.04/11.27 apply (zenon_L483_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.04/11.27 apply (zenon_L515_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.04/11.27 apply (zenon_L359_); trivial. % 11.04/11.27 apply (zenon_L221_); trivial. % 11.04/11.27 apply (zenon_L308_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.27 exact (zenon_Hbd zenon_Hc3). % 11.04/11.27 apply (zenon_L449_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.04/11.27 exact (zenon_H171 zenon_H175). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.04/11.27 apply (zenon_L457_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.27 apply (zenon_L310_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ]. % 11.04/11.27 apply (zenon_L270_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ]. % 11.04/11.27 apply (zenon_L257_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ]. % 11.04/11.27 apply (zenon_L517_); trivial. % 11.04/11.27 apply (zenon_L182_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.27 exact (zenon_Hbd zenon_Hc3). % 11.04/11.27 apply (zenon_L449_); trivial. % 11.04/11.27 apply (zenon_L518_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.04/11.27 apply (zenon_L8_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.04/11.27 apply (zenon_L269_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.27 apply (zenon_L8_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.04/11.27 exact (zenon_H171 zenon_H175). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.04/11.27 apply (zenon_L388_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.04/11.27 apply (zenon_L36_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.04/11.27 apply (zenon_L56_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.04/11.27 apply (zenon_L519_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H11f | zenon_intro zenon_H147 ]. % 11.04/11.27 apply (zenon_L269_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H3f | zenon_intro zenon_H148 ]. % 11.04/11.27 apply (zenon_L527_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H12e | zenon_intro zenon_H141 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.27 apply (zenon_L348_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.27 apply (zenon_L529_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.27 apply (zenon_L530_); trivial. % 11.04/11.27 apply (zenon_L531_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.27 apply (zenon_L9_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.27 apply (zenon_L529_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.27 apply (zenon_L532_); trivial. % 11.04/11.27 apply (zenon_L533_); trivial. % 11.04/11.27 apply (zenon_L228_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.27 apply (zenon_L508_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.04/11.27 exact (zenon_H171 zenon_H175). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.04/11.27 apply (zenon_L388_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.04/11.27 apply (zenon_L36_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.04/11.27 exact (zenon_H171 zenon_H175). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.04/11.27 apply (zenon_L154_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.04/11.27 apply (zenon_L519_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.27 apply (zenon_L224_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.27 apply (zenon_L527_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.27 exact (zenon_Hbd zenon_Hc3). % 11.04/11.27 apply (zenon_L536_); trivial. % 11.04/11.27 apply (zenon_L538_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.04/11.27 apply (zenon_L109_); trivial. % 11.04/11.27 apply (zenon_L518_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.27 apply (zenon_L158_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H11f | zenon_intro zenon_H147 ]. % 11.04/11.27 apply (zenon_L269_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H3f | zenon_intro zenon_H148 ]. % 11.04/11.27 apply (zenon_L383_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H12e | zenon_intro zenon_H141 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ]. % 11.04/11.27 exact (zenon_He0 zenon_He3). % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ]. % 11.04/11.27 apply (zenon_L539_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ]. % 11.04/11.27 apply (zenon_L60_); trivial. % 11.04/11.27 apply (zenon_L509_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ]. % 11.04/11.27 exact (zenon_He0 zenon_He3). % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ]. % 11.04/11.27 apply (zenon_L541_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ]. % 11.04/11.27 apply (zenon_L60_); trivial. % 11.04/11.27 apply (zenon_L509_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.27 apply (zenon_L483_); trivial. % 11.04/11.27 apply (zenon_L484_); trivial. % 11.04/11.27 apply (zenon_L404_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.04/11.27 exact (zenon_He0 zenon_He3). % 11.04/11.27 apply (zenon_L21_); trivial. % 11.04/11.27 exact (zenon_H79 zenon_H7c). % 11.04/11.27 exact (zenon_H118 zenon_H11c). % 11.04/11.27 exact (zenon_H171 zenon_H175). % 11.04/11.27 apply (zenon_L542_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H176 | zenon_intro zenon_H7c ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.04/11.27 apply (zenon_L468_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.04/11.27 apply (zenon_L8_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.04/11.27 apply (zenon_L269_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.27 apply (zenon_L11_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.27 apply (zenon_L543_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.27 apply (zenon_L544_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ]. % 11.04/11.27 apply (zenon_L509_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ]. % 11.04/11.27 apply (zenon_L425_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ]. % 11.04/11.27 apply (zenon_L163_); trivial. % 11.04/11.27 exact (zenon_H176 zenon_H153). % 11.04/11.27 apply (zenon_L545_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.04/11.27 exact (zenon_He0 zenon_He3). % 11.04/11.27 apply (zenon_L21_); trivial. % 11.04/11.27 exact (zenon_H79 zenon_H7c). % 11.04/11.27 exact (zenon_H171 zenon_H175). % 11.04/11.27 apply (zenon_L542_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H176 | zenon_intro zenon_H7c ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.04/11.27 apply (zenon_L468_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.04/11.27 apply (zenon_L8_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.04/11.27 apply (zenon_L269_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.04/11.27 apply (zenon_L280_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.04/11.27 apply (zenon_L158_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.04/11.27 apply (zenon_L305_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.04/11.27 exact (zenon_H171 zenon_H175). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.04/11.27 apply (zenon_L457_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.04/11.27 apply (zenon_L270_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ]. % 11.04/11.27 apply (zenon_L509_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ]. % 11.04/11.27 apply (zenon_L167_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ]. % 11.04/11.27 apply (zenon_L252_); trivial. % 11.04/11.27 exact (zenon_H176 zenon_H153). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ]. % 11.04/11.27 apply (zenon_L509_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ]. % 11.04/11.27 apply (zenon_L425_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ]. % 11.04/11.27 apply (zenon_L546_); trivial. % 11.04/11.27 exact (zenon_H176 zenon_H153). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.04/11.27 exact (zenon_He0 zenon_He3). % 11.04/11.27 apply (zenon_L21_); trivial. % 11.04/11.27 exact (zenon_H79 zenon_H7c). % 11.04/11.27 exact (zenon_H171 zenon_H175). % 11.04/11.27 apply (zenon_L542_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ]. % 11.04/11.27 exact (zenon_He0 zenon_He3). % 11.04/11.27 apply (zenon_L291_); trivial. % 11.04/11.27 (* end of lemma zenon_L547_ *) % 11.04/11.27 assert (zenon_L548_ : (((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\(((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.04/11.27 do 0 intro. intros zenon_H25b zenon_H68 zenon_H69 zenon_H37. % 11.04/11.27 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25d. zenon_intro zenon_H25c. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H3c | zenon_intro zenon_H31 ]. % 11.04/11.27 exact (zenon_H3c zenon_H37). % 11.04/11.27 apply (zenon_L21_); trivial. % 11.04/11.27 (* end of lemma zenon_L548_ *) % 11.04/11.27 assert (zenon_L549_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((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 (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H14b zenon_Ha5 zenon_H1dd zenon_H9b zenon_H118 zenon_H13b zenon_H1e zenon_H8d zenon_H24 zenon_H38 zenon_H117 zenon_H75 zenon_H79 zenon_H70 zenon_H69 zenon_H78 zenon_Hdd zenon_H13a zenon_H132 zenon_H12d zenon_H12c zenon_H135 zenon_H12a zenon_H138 zenon_H7d zenon_H121 zenon_H88 zenon_H146 zenon_Hbd zenon_H2d zenon_He6 zenon_Hd6 zenon_H31 zenon_H81. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.27 apply (zenon_L8_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.27 apply (zenon_L30_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.27 exact (zenon_He6 zenon_H1f). % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.27 apply (zenon_L10_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.27 exact (zenon_Hbd zenon_Hc3). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H11f | zenon_intro zenon_H147 ]. % 11.04/11.27 apply (zenon_L465_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H3f | zenon_intro zenon_H148 ]. % 11.04/11.27 apply (zenon_L82_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H12e | zenon_intro zenon_H141 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 11.04/11.27 apply (zenon_L94_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 11.04/11.27 apply (zenon_L19_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 11.04/11.27 apply (zenon_L51_); trivial. % 11.04/11.27 apply (zenon_L24_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.27 exact (zenon_H118 zenon_H11c). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.27 apply (zenon_L512_); trivial. % 11.04/11.27 apply (zenon_L78_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.27 apply (zenon_L30_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.27 apply (zenon_L44_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.27 apply (zenon_L19_); trivial. % 11.04/11.27 apply (zenon_L102_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.27 exact (zenon_H118 zenon_H11c). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.27 apply (zenon_L512_); trivial. % 11.04/11.27 apply (zenon_L78_); trivial. % 11.04/11.27 apply (zenon_L73_); trivial. % 11.04/11.27 (* end of lemma zenon_L549_ *) % 11.04/11.27 assert (zenon_L550_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.04/11.27 do 0 intro. intros zenon_Hd3 zenon_H95 zenon_H22 zenon_H89 zenon_H75 zenon_H79 zenon_H70 zenon_H31 zenon_H69 zenon_H78 zenon_Hcc zenon_H57 zenon_H24 zenon_H80 zenon_H81 zenon_H7d zenon_H6f zenon_H38. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.04/11.27 apply (zenon_L32_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.04/11.27 apply (zenon_L57_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.04/11.27 apply (zenon_L46_); trivial. % 11.04/11.27 apply (zenon_L47_); trivial. % 11.04/11.27 (* end of lemma zenon_L550_ *) % 11.04/11.27 assert (zenon_L551_ : (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((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 (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H79 zenon_H84 zenon_Hd3 zenon_H22 zenon_H75 zenon_H70 zenon_H69 zenon_H78 zenon_Hcc zenon_H57 zenon_H24 zenon_H80 zenon_H7d zenon_H38 zenon_H14b zenon_Ha5 zenon_H1dd zenon_H118 zenon_H13b zenon_H1e zenon_H117 zenon_Hdd zenon_H13a zenon_H132 zenon_H12d zenon_H12c zenon_H135 zenon_H12a zenon_H138 zenon_H121 zenon_H88 zenon_H146 zenon_Hbd zenon_H2d zenon_He6 zenon_Hd6 zenon_H9e zenon_H149 zenon_H9b zenon_H31 zenon_H81. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.27 apply (zenon_L8_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.27 exact (zenon_He6 zenon_H1f). % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.27 apply (zenon_L10_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.27 exact (zenon_Hbd zenon_Hc3). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.04/11.27 apply (zenon_L549_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.04/11.27 apply (zenon_L550_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.04/11.27 apply (zenon_L33_); trivial. % 11.04/11.27 exact (zenon_H79 zenon_H7c). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.27 apply (zenon_L107_); trivial. % 11.04/11.27 apply (zenon_L73_); trivial. % 11.04/11.27 (* end of lemma zenon_L551_ *) % 11.04/11.27 assert (zenon_L552_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e2)) = (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))))) -> (~((e1) = (e2))) -> False). % 11.04/11.27 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_H2d zenon_H24 zenon_Hbd zenon_H117 zenon_H104 zenon_H118 zenon_H79 zenon_H113 zenon_H103 zenon_H10e zenon_H31 zenon_H109 zenon_H119 zenon_Ha5. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.27 exact (zenon_He6 zenon_H1f). % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.27 apply (zenon_L10_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.27 exact (zenon_Hbd zenon_Hc3). % 11.04/11.27 apply (zenon_L79_); trivial. % 11.04/11.27 (* end of lemma zenon_L552_ *) % 11.04/11.27 assert (zenon_L553_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((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 (e1) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H172 zenon_H171 zenon_H84 zenon_Hd3 zenon_H22 zenon_Hcc zenon_H1dd zenon_H88 zenon_H9e zenon_H149 zenon_He1 zenon_H119 zenon_H109 zenon_H10e zenon_H113 zenon_H104 zenon_H117 zenon_H14b zenon_H38 zenon_Hfd zenon_He0 zenon_H24 zenon_He9 zenon_H2d zenon_Hbe zenon_H143 zenon_Hf9 zenon_Hdd zenon_Hec zenon_H80 zenon_Hf8 zenon_Hbd zenon_H140 zenon_H1e zenon_H13b zenon_H41 zenon_H75 zenon_H79 zenon_H70 zenon_H69 zenon_H78 zenon_H46 zenon_H7d zenon_H138 zenon_H12a zenon_H135 zenon_H12c zenon_H12d zenon_H132 zenon_H118 zenon_H13a zenon_H127 zenon_H122 zenon_H125 zenon_Hf5 zenon_Hf7 zenon_H121 zenon_Ha5 zenon_H146 zenon_He6 zenon_Hd6 zenon_H31 zenon_H81. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.04/11.27 exact (zenon_H171 zenon_H175). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.27 exact (zenon_He6 zenon_H1f). % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.27 apply (zenon_L10_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.27 exact (zenon_Hbd zenon_Hc3). % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ]. % 11.04/11.27 exact (zenon_He0 zenon_He3). % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ]. % 11.04/11.27 apply (zenon_L59_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ]. % 11.04/11.27 apply (zenon_L55_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.04/11.27 apply (zenon_L11_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.04/11.27 exact (zenon_Hbd zenon_Hc3). % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.04/11.27 apply (zenon_L25_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 11.04/11.27 exact (zenon_He0 zenon_He3). % 11.04/11.27 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ]. % 11.04/11.27 apply (zenon_L27_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ]. % 11.04/11.27 apply (zenon_L551_); trivial. % 11.04/11.27 apply (zenon_L69_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.04/11.27 apply (zenon_L552_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.27 apply (zenon_L8_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.27 apply (zenon_L30_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.27 exact (zenon_He6 zenon_H1f). % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.27 apply (zenon_L10_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.27 exact (zenon_Hbd zenon_Hc3). % 11.04/11.27 apply (zenon_L112_); trivial. % 11.04/11.27 apply (zenon_L73_); trivial. % 11.04/11.27 (* end of lemma zenon_L553_ *) % 11.04/11.27 assert (zenon_L554_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((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 (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.04/11.27 do 0 intro. intros zenon_Hbc zenon_Hd6 zenon_He6 zenon_H146 zenon_Ha5 zenon_H121 zenon_Hf7 zenon_Hf5 zenon_H125 zenon_H122 zenon_H127 zenon_H13a zenon_H118 zenon_H132 zenon_H12d zenon_H12c zenon_H135 zenon_H12a zenon_H138 zenon_H46 zenon_H13b zenon_H140 zenon_Hf8 zenon_Hec zenon_Hdd zenon_Hf9 zenon_H143 zenon_He9 zenon_He0 zenon_Hfd zenon_H38 zenon_H14b zenon_H117 zenon_H104 zenon_H113 zenon_H10e zenon_H109 zenon_H119 zenon_He1 zenon_H149 zenon_H9e zenon_H88 zenon_H1dd zenon_Hcc zenon_H22 zenon_Hd3 zenon_H84 zenon_H171 zenon_H172 zenon_Ha1 zenon_H75 zenon_H79 zenon_H6f zenon_H70 zenon_H69 zenon_H78 zenon_H81 zenon_H57 zenon_H24 zenon_H7d zenon_H2d zenon_Hbd zenon_H41 zenon_H1e zenon_Hbe zenon_Hb9 zenon_H31. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.04/11.27 apply (zenon_L553_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.04/11.27 apply (zenon_L35_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.04/11.27 apply (zenon_L55_); trivial. % 11.04/11.27 apply (zenon_L41_); trivial. % 11.04/11.27 (* end of lemma zenon_L554_ *) % 11.04/11.27 assert (zenon_L555_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H13b zenon_H1e zenon_H8d zenon_H1f7 zenon_H3d zenon_H149 zenon_H135 zenon_H31 zenon_H12c zenon_H12e zenon_H130 zenon_H12d zenon_H132. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.27 apply (zenon_L30_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.27 apply (zenon_L321_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.27 apply (zenon_L389_); trivial. % 11.04/11.27 apply (zenon_L92_); trivial. % 11.04/11.27 (* end of lemma zenon_L555_ *) % 11.04/11.27 assert (zenon_L556_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H9e zenon_H132 zenon_H12d zenon_H130 zenon_H12e zenon_H12c zenon_H31 zenon_H135 zenon_H149 zenon_H1f7 zenon_H1e zenon_H13b zenon_H24 zenon_H3d zenon_H9b zenon_H84 zenon_H79. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.04/11.27 apply (zenon_L555_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.04/11.27 apply (zenon_L32_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.04/11.27 apply (zenon_L33_); trivial. % 11.04/11.27 exact (zenon_H79 zenon_H7c). % 11.04/11.27 (* end of lemma zenon_L556_ *) % 11.04/11.27 assert (zenon_L557_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (e1))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False). % 11.04/11.27 do 0 intro. intros zenon_Hbe zenon_Ha5 zenon_H9b zenon_Hbd zenon_Ha9 zenon_H2d zenon_H140 zenon_H141. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.04/11.27 apply (zenon_L36_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.04/11.27 exact (zenon_Hbd zenon_Hc3). % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.04/11.27 apply (zenon_L37_); trivial. % 11.04/11.27 apply (zenon_L96_); trivial. % 11.04/11.27 (* end of lemma zenon_L557_ *) % 11.04/11.27 assert (zenon_L558_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.04/11.27 do 0 intro. intros zenon_Hbc zenon_H81 zenon_H4c zenon_H24 zenon_Ha1 zenon_H141 zenon_H140 zenon_H2d zenon_Hbd zenon_H9b zenon_Ha5 zenon_Hbe zenon_Hb9 zenon_H31. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.04/11.27 apply (zenon_L26_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.04/11.27 apply (zenon_L35_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.04/11.27 apply (zenon_L557_); trivial. % 11.04/11.27 apply (zenon_L41_); trivial. % 11.04/11.27 (* end of lemma zenon_L558_ *) % 11.04/11.27 assert (zenon_L559_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> False). % 11.04/11.27 do 0 intro. intros zenon_H12d zenon_H89 zenon_H5d. % 11.04/11.27 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (e1)) = (op (e2) (e1)))). % 11.04/11.27 intro zenon_D_pnotp. % 11.04/11.27 apply zenon_H12d. % 11.04/11.27 rewrite <- zenon_D_pnotp. % 11.04/11.27 exact zenon_H89. % 11.04/11.27 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H12b]. % 11.04/11.27 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 11.04/11.27 congruence. % 11.04/11.27 apply zenon_H26. apply refl_equal. % 11.04/11.27 apply zenon_H12b. apply sym_equal. exact zenon_H5d. % 11.04/11.27 (* end of lemma zenon_L559_ *) % 11.04/11.27 assert (zenon_L560_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((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)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.27 do 0 intro. intros zenon_H7d zenon_Hb9 zenon_Hbe zenon_Ha5 zenon_H9b zenon_Hbd zenon_H2d zenon_H140 zenon_H141 zenon_Ha1 zenon_H24 zenon_H81 zenon_Hbc zenon_H89 zenon_H12d zenon_H66 zenon_H38 zenon_H78 zenon_H69 zenon_H31 zenon_H70 zenon_H6f zenon_H79 zenon_H75. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 11.04/11.27 apply (zenon_L558_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 11.04/11.27 apply (zenon_L559_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 11.04/11.27 apply (zenon_L20_); trivial. % 11.04/11.27 apply (zenon_L24_); trivial. % 11.04/11.27 (* end of lemma zenon_L560_ *) % 11.04/11.27 assert (zenon_L561_ : ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False). % 11.04/11.27 do 0 intro. intros zenon_H1e zenon_H41 zenon_H75 zenon_H79 zenon_H6f zenon_H70 zenon_H31 zenon_H69 zenon_H78 zenon_H38 zenon_H12d zenon_H89 zenon_Hbc zenon_H81 zenon_H24 zenon_Ha1 zenon_H2d zenon_Hbd zenon_H9b zenon_Ha5 zenon_Hbe zenon_Hb9 zenon_H7d zenon_H140 zenon_H141. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.04/11.27 apply (zenon_L11_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.04/11.27 exact (zenon_Hbd zenon_Hc3). % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.04/11.27 apply (zenon_L560_); trivial. % 11.04/11.27 apply (zenon_L96_); trivial. % 11.04/11.27 (* end of lemma zenon_L561_ *) % 11.04/11.27 assert (zenon_L562_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e2)) = (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 (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> False). % 11.04/11.27 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_H2d zenon_H24 zenon_Hbd zenon_H117 zenon_H104 zenon_H103 zenon_H118 zenon_H9b zenon_H1dd zenon_Ha5. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.27 exact (zenon_He6 zenon_H1f). % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.27 apply (zenon_L10_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.27 exact (zenon_Hbd zenon_Hc3). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.27 apply (zenon_L74_); trivial. % 11.04/11.27 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.27 exact (zenon_H118 zenon_H11c). % 11.04/11.27 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.27 apply (zenon_L512_); trivial. % 11.04/11.27 apply (zenon_L78_); trivial. % 11.04/11.27 (* end of lemma zenon_L562_ *) % 11.04/11.27 assert (zenon_L563_ : (((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) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> False). % 11.04/11.28 do 0 intro. intros zenon_H20c zenon_Hc5 zenon_H150 zenon_He6 zenon_H104 zenon_H103 zenon_H95 zenon_H24. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ]. % 11.04/11.28 apply (zenon_L127_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ]. % 11.04/11.28 exact (zenon_He6 zenon_H1f). % 11.04/11.28 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ]. % 11.04/11.28 apply (zenon_L74_); trivial. % 11.04/11.28 apply (zenon_L32_); trivial. % 11.04/11.28 (* end of lemma zenon_L563_ *) % 11.04/11.28 assert (zenon_L564_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> False). % 11.04/11.28 do 0 intro. intros zenon_Hf8 zenon_H169 zenon_H150 zenon_H78 zenon_H70 zenon_H16b zenon_H141 zenon_H1ca zenon_H1c5 zenon_H1af zenon_H1cd zenon_H18e zenon_Hf7 zenon_H9c zenon_Hf5 zenon_H1a4. % 11.04/11.28 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ]. % 11.04/11.28 apply (zenon_L405_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ]. % 11.04/11.28 apply (zenon_L176_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ]. % 11.04/11.28 apply (zenon_L163_); trivial. % 11.04/11.28 exact (zenon_H1a4 zenon_H65). % 11.04/11.28 (* end of lemma zenon_L564_ *) % 11.04/11.28 assert (zenon_L565_ : ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((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 (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)) = (op (e1) (e3)))) -> False). % 11.04/11.28 do 0 intro. intros zenon_H103 zenon_H104 zenon_He6 zenon_Hc5 zenon_H20c zenon_H1cd zenon_H1c5 zenon_H1ca zenon_H78 zenon_H169 zenon_H1ae zenon_H1af zenon_Hb9 zenon_H69 zenon_Hf8 zenon_H89 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H150 zenon_H170 zenon_H19c zenon_Hc3 zenon_H198 zenon_H1e zenon_H32 zenon_H199 zenon_Hf7 zenon_H15e zenon_Hf5 zenon_H1a4 zenon_H141 zenon_Ha5 zenon_H14b zenon_H38 zenon_H81 zenon_He3 zenon_H149 zenon_H9e zenon_Hdd zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H1ab zenon_Hba zenon_H18e zenon_H1a6 zenon_H70 zenon_H1a9. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.04/11.28 apply (zenon_L30_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.04/11.28 apply (zenon_L563_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.04/11.28 apply (zenon_L564_); trivial. % 11.04/11.28 apply (zenon_L194_); trivial. % 11.04/11.28 (* end of lemma zenon_L565_ *) % 11.04/11.28 assert (zenon_L566_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((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 (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False). % 11.04/11.28 do 0 intro. intros zenon_H1a9 zenon_H70 zenon_H1a6 zenon_Hba zenon_H1ab zenon_Hbc zenon_H125 zenon_H24 zenon_Ha1 zenon_Hdd zenon_H9e zenon_H149 zenon_He3 zenon_H81 zenon_H38 zenon_H14b zenon_Ha5 zenon_H1a4 zenon_Hf5 zenon_H15e zenon_Hf7 zenon_H199 zenon_H32 zenon_H1e zenon_H198 zenon_Hc3 zenon_H19c zenon_H170 zenon_H150 zenon_H138 zenon_H140 zenon_H132 zenon_H89 zenon_Hf8 zenon_H69 zenon_Hb9 zenon_H1af zenon_H1ae zenon_H169 zenon_H78 zenon_H1ca zenon_H1c5 zenon_H1cd zenon_H20c zenon_Hc5 zenon_He6 zenon_H104 zenon_H103 zenon_H141 zenon_H16b. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ]. % 11.04/11.28 apply (zenon_L158_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ]. % 11.04/11.28 exact (zenon_H199 zenon_H6f). % 11.04/11.28 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ]. % 11.04/11.28 apply (zenon_L565_); trivial. % 11.04/11.28 apply (zenon_L177_); trivial. % 11.04/11.28 (* end of lemma zenon_L566_ *) % 11.04/11.28 assert (zenon_L567_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> (~((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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((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 (e0) (e0)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> False). % 11.04/11.28 do 0 intro. intros zenon_H155 zenon_H103 zenon_H104 zenon_He6 zenon_Hc5 zenon_H20c zenon_H1cd zenon_H1c5 zenon_H1ca zenon_H78 zenon_H169 zenon_H1ae zenon_H1af zenon_Hb9 zenon_H69 zenon_Hf8 zenon_H198 zenon_H32 zenon_H199 zenon_Hf7 zenon_H15e zenon_Hf5 zenon_H1a4 zenon_H14b zenon_H38 zenon_H81 zenon_He3 zenon_H149 zenon_Hdd zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H1ab zenon_H1a6 zenon_H70 zenon_H1a9 zenon_Hc3 zenon_H19c zenon_H9e zenon_H1e zenon_Hba zenon_H89 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H150 zenon_H170 zenon_Ha5. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.04/11.28 apply (zenon_L120_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.04/11.28 apply (zenon_L566_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.04/11.28 apply (zenon_L167_); trivial. % 11.04/11.28 apply (zenon_L199_); trivial. % 11.04/11.28 (* end of lemma zenon_L567_ *) % 11.04/11.28 assert (zenon_L568_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e2) (e3)) = (e0)) -> (((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) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> False). % 11.04/11.28 do 0 intro. intros zenon_H19e zenon_Ha5 zenon_H170 zenon_H138 zenon_H16b zenon_H140 zenon_H132 zenon_H89 zenon_Hba zenon_H9e zenon_H19c zenon_Hc3 zenon_H1a9 zenon_H70 zenon_H1a6 zenon_H1ab zenon_Hbc zenon_H24 zenon_Ha1 zenon_Hdd zenon_H149 zenon_He3 zenon_H81 zenon_H38 zenon_H14b zenon_H1a4 zenon_Hf5 zenon_H15e zenon_Hf7 zenon_H199 zenon_H32 zenon_H198 zenon_Hf8 zenon_H69 zenon_Hb9 zenon_H1af zenon_H1ae zenon_H169 zenon_H78 zenon_H1ca zenon_H1c5 zenon_H1cd zenon_H20c zenon_Hc5 zenon_He6 zenon_H104 zenon_H155 zenon_H12d zenon_H1e zenon_H46 zenon_Hec zenon_H122 zenon_H150 zenon_H125 zenon_H127 zenon_H19f. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.04/11.28 apply (zenon_L567_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.04/11.28 apply (zenon_L90_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.04/11.28 apply (zenon_L144_); trivial. % 11.04/11.28 exact (zenon_H19f zenon_H114). % 11.04/11.28 (* end of lemma zenon_L568_ *) % 11.04/11.28 assert (zenon_L569_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((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 (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.04/11.28 do 0 intro. intros zenon_H166 zenon_H19f zenon_H127 zenon_H125 zenon_H122 zenon_Hec zenon_H46 zenon_H1e zenon_H12d zenon_H155 zenon_H104 zenon_He6 zenon_Hc5 zenon_H20c zenon_H1cd zenon_H1c5 zenon_H1ca zenon_H78 zenon_H169 zenon_H1ae zenon_H1af zenon_Hb9 zenon_H69 zenon_Hf8 zenon_H198 zenon_H32 zenon_H199 zenon_Hf7 zenon_H15e zenon_Hf5 zenon_H1a4 zenon_H14b zenon_H38 zenon_H81 zenon_H149 zenon_Hdd zenon_Ha1 zenon_Hbc zenon_H1ab zenon_H1a6 zenon_H70 zenon_H1a9 zenon_Hc3 zenon_H19c zenon_H9e zenon_H89 zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H170 zenon_Ha5 zenon_H19e zenon_H24 zenon_H162 zenon_He3 zenon_H84 zenon_Hba zenon_H75. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.04/11.28 apply (zenon_L568_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.04/11.28 apply (zenon_L128_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.04/11.28 apply (zenon_L157_); trivial. % 11.04/11.28 apply (zenon_L221_); trivial. % 11.04/11.28 (* end of lemma zenon_L569_ *) % 11.04/11.28 assert (zenon_L570_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((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 (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> False). % 11.04/11.28 do 0 intro. intros zenon_H1b9 zenon_H109 zenon_H101 zenon_H1a9 zenon_H10e zenon_H199 zenon_H1a6 zenon_Hba zenon_H1ab zenon_H103 zenon_Hec zenon_Hf8 zenon_He3 zenon_Hdd zenon_Hcc zenon_Hc3 zenon_Hf5 zenon_H1a4. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.04/11.28 apply (zenon_L206_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.04/11.28 apply (zenon_L204_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.04/11.28 apply (zenon_L143_); trivial. % 11.04/11.28 apply (zenon_L208_); trivial. % 11.04/11.28 (* end of lemma zenon_L570_ *) % 11.04/11.28 assert (zenon_L571_ : (((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)) = (e1))) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e0)) -> False). % 11.04/11.28 do 0 intro. intros zenon_H198 zenon_H38 zenon_H101 zenon_H199 zenon_H8d zenon_H2d zenon_H68. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ]. % 11.04/11.28 apply (zenon_L295_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ]. % 11.04/11.28 exact (zenon_H199 zenon_H6f). % 11.04/11.28 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ]. % 11.04/11.28 apply (zenon_L161_); trivial. % 11.04/11.28 apply (zenon_L165_); trivial. % 11.04/11.28 (* end of lemma zenon_L571_ *) % 11.04/11.28 assert (zenon_L572_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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)) = (e1))) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e1))) -> False). % 11.04/11.28 do 0 intro. intros zenon_H166 zenon_H1e zenon_H46 zenon_Hec zenon_Hfc zenon_H122 zenon_H125 zenon_H127 zenon_H24 zenon_H162 zenon_He3 zenon_H84 zenon_H198 zenon_H38 zenon_H101 zenon_H199 zenon_H8d zenon_H2d. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.04/11.28 apply (zenon_L144_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.04/11.28 apply (zenon_L128_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.04/11.28 apply (zenon_L157_); trivial. % 11.04/11.28 apply (zenon_L571_); trivial. % 11.04/11.28 (* end of lemma zenon_L572_ *) % 11.04/11.28 assert (zenon_L573_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (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 (e1) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (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) (e2)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (e2))) -> False). % 11.04/11.28 do 0 intro. intros zenon_H19e zenon_H1a4 zenon_Hf5 zenon_Hc3 zenon_Hcc zenon_Hdd zenon_Hf8 zenon_H10c zenon_H10e zenon_H109 zenon_H1b9 zenon_H12d zenon_H2d zenon_H8d zenon_H199 zenon_H101 zenon_H38 zenon_H198 zenon_H84 zenon_He3 zenon_H133 zenon_H81 zenon_H127 zenon_H125 zenon_H122 zenon_Hec zenon_H46 zenon_H1e zenon_H166 zenon_H19f. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.04/11.28 apply (zenon_L209_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.04/11.28 apply (zenon_L90_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.04/11.28 apply (zenon_L144_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.04/11.28 apply (zenon_L244_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.04/11.28 apply (zenon_L157_); trivial. % 11.04/11.28 apply (zenon_L571_); trivial. % 11.04/11.28 exact (zenon_H19f zenon_H114). % 11.04/11.28 (* end of lemma zenon_L573_ *) % 11.04/11.28 assert (zenon_L574_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (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 (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (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) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (e2))) -> False). % 11.04/11.28 do 0 intro. intros zenon_H117 zenon_Hb9 zenon_H7d zenon_H19c zenon_H32 zenon_Ha5 zenon_H9e zenon_H155 zenon_H15e zenon_H13b zenon_H1cc zenon_H24 zenon_H162 zenon_H149 zenon_H1a9 zenon_H1a6 zenon_H1ab zenon_Ha1 zenon_He5 zenon_H104 zenon_Hbc zenon_H19e zenon_H1a4 zenon_Hf5 zenon_Hc3 zenon_Hcc zenon_Hdd zenon_Hf8 zenon_H10e zenon_H109 zenon_H1b9 zenon_H12d zenon_H2d zenon_H8d zenon_H199 zenon_H101 zenon_H38 zenon_H198 zenon_H84 zenon_He3 zenon_H81 zenon_H127 zenon_H125 zenon_H122 zenon_Hec zenon_H46 zenon_H1e zenon_H166 zenon_H19f. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.04/11.28 apply (zenon_L203_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.04/11.28 apply (zenon_L149_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.04/11.28 apply (zenon_L205_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.04/11.28 apply (zenon_L30_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.04/11.28 exact (zenon_H1cc zenon_Hca). % 11.04/11.28 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.04/11.28 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.04/11.28 apply (zenon_L154_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.04/11.28 apply (zenon_L35_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.04/11.28 apply (zenon_L155_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.04/11.28 apply (zenon_L570_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.04/11.28 apply (zenon_L389_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.04/11.28 apply (zenon_L572_); trivial. % 11.04/11.28 exact (zenon_H19f zenon_H114). % 11.04/11.28 apply (zenon_L573_); trivial. % 11.04/11.28 (* end of lemma zenon_L574_ *) % 11.04/11.28 assert (zenon_L575_ : (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((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 (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.04/11.28 do 0 intro. intros zenon_H3c zenon_H199 zenon_H166 zenon_H170 zenon_H138 zenon_H16b zenon_H140 zenon_H132 zenon_Hf7 zenon_H32 zenon_H198 zenon_H69 zenon_Ha1 zenon_H24 zenon_H125 zenon_Hbc zenon_H84 zenon_H15e zenon_H155 zenon_H109 zenon_Hf8 zenon_Hdd zenon_Hcc zenon_Hf5 zenon_H1a4 zenon_Ha5 zenon_H14b zenon_H38 zenon_H1e zenon_H9e zenon_H19c zenon_H2d zenon_He6 zenon_Hd6 zenon_H81 zenon_He3 zenon_H108 zenon_H149. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.28 exact (zenon_H3c zenon_H37). % 11.04/11.28 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.28 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.28 exact (zenon_He6 zenon_H1f). % 11.04/11.28 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.28 apply (zenon_L10_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.28 apply (zenon_L218_); trivial. % 11.04/11.28 exact (zenon_H199 zenon_H6f). % 11.04/11.28 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.28 apply (zenon_L183_); trivial. % 11.04/11.28 apply (zenon_L184_); trivial. % 11.04/11.28 (* end of lemma zenon_L575_ *) % 11.04/11.28 assert (zenon_L576_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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 (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e3)) = (e1))) -> (((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 (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((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)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False). % 11.04/11.28 do 0 intro. intros zenon_H180 zenon_H19e zenon_Hcc zenon_H1ab zenon_H1a6 zenon_H10e zenon_H1a9 zenon_H1b9 zenon_H12d zenon_Hec zenon_H122 zenon_H127 zenon_H19f zenon_H155 zenon_H104 zenon_Hc5 zenon_H20c zenon_H1cd zenon_H1c5 zenon_H1ca zenon_H78 zenon_H169 zenon_H1ae zenon_H1af zenon_Hb9 zenon_H70 zenon_H109 zenon_H3c zenon_H199 zenon_Hbc zenon_H125 zenon_H24 zenon_Ha1 zenon_Hdd zenon_H2d zenon_H69 zenon_Hf8 zenon_H198 zenon_H32 zenon_Hf7 zenon_H15e zenon_Hf5 zenon_H1a4 zenon_H14b zenon_H38 zenon_H19c zenon_H9e zenon_H1e zenon_H132 zenon_H140 zenon_H16b zenon_H138 zenon_H150 zenon_H170 zenon_Ha5 zenon_He6 zenon_Hd6 zenon_H81 zenon_He3 zenon_H149. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.04/11.28 apply (zenon_L151_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.04/11.28 exact (zenon_H3c zenon_H37). % 11.04/11.28 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.04/11.28 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.28 exact (zenon_He6 zenon_H1f). % 11.04/11.28 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.28 apply (zenon_L10_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.28 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.04/11.28 apply (zenon_L113_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.04/11.28 apply (zenon_L35_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.04/11.28 apply (zenon_L155_); trivial. % 11.04/11.28 apply (zenon_L568_); trivial. % 11.04/11.28 exact (zenon_H199 zenon_H6f). % 11.04/11.28 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.04/11.28 apply (zenon_L183_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.04/11.28 exact (zenon_He6 zenon_H1f). % 11.04/11.28 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.04/11.28 apply (zenon_L10_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.04/11.28 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.04/11.28 apply (zenon_L113_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.04/11.28 apply (zenon_L35_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.04/11.28 apply (zenon_L155_); trivial. % 11.04/11.28 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.28 apply (zenon_L570_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.28 apply (zenon_L90_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.28 apply (zenon_L144_); trivial. % 11.15/11.28 exact (zenon_H19f zenon_H114). % 11.15/11.28 exact (zenon_H199 zenon_H6f). % 11.15/11.28 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.28 apply (zenon_L206_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.28 exact (zenon_H3c zenon_H37). % 11.15/11.28 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.28 exact (zenon_He6 zenon_H1f). % 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.28 apply (zenon_L10_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.28 apply (zenon_L212_); trivial. % 11.15/11.28 exact (zenon_H199 zenon_H6f). % 11.15/11.28 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.28 apply (zenon_L183_); trivial. % 11.15/11.28 apply (zenon_L184_); trivial. % 11.15/11.28 (* end of lemma zenon_L576_ *) % 11.15/11.28 assert (zenon_L577_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.28 do 0 intro. intros zenon_H7d zenon_H1e zenon_H46 zenon_H89 zenon_H12d zenon_H1a4 zenon_H73 zenon_H75. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 11.15/11.28 apply (zenon_L16_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 11.15/11.28 apply (zenon_L559_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 11.15/11.28 exact (zenon_H1a4 zenon_H65). % 11.15/11.28 apply (zenon_L23_); trivial. % 11.15/11.28 (* end of lemma zenon_L577_ *) % 11.15/11.28 assert (zenon_L578_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.15/11.28 do 0 intro. intros zenon_H14b zenon_H3c zenon_H75 zenon_H1a4 zenon_H12d zenon_H46 zenon_H1e zenon_H7d zenon_H81 zenon_He3 zenon_H69 zenon_H73. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.28 exact (zenon_H3c zenon_H37). % 11.15/11.28 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.28 apply (zenon_L577_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.28 apply (zenon_L183_); trivial. % 11.15/11.28 apply (zenon_L258_); trivial. % 11.15/11.28 (* end of lemma zenon_L578_ *) % 11.15/11.28 assert (zenon_L579_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.28 do 0 intro. intros zenon_H7d zenon_H125 zenon_Hc4 zenon_H89 zenon_H12d zenon_H1a4 zenon_H73 zenon_H75. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 11.15/11.28 apply (zenon_L461_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 11.15/11.28 apply (zenon_L559_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 11.15/11.28 exact (zenon_H1a4 zenon_H65). % 11.15/11.28 apply (zenon_L23_); trivial. % 11.15/11.28 (* end of lemma zenon_L579_ *) % 11.15/11.28 assert (zenon_L580_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False). % 11.15/11.28 do 0 intro. intros zenon_H1ae zenon_H1a7 zenon_H18e zenon_H114 zenon_Hb9 zenon_H1a9 zenon_Hd1. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ]. % 11.15/11.28 apply (zenon_L328_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ]. % 11.15/11.28 apply (zenon_L182_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ]. % 11.15/11.28 apply (zenon_L227_); trivial. % 11.15/11.28 apply (zenon_L192_); trivial. % 11.15/11.28 (* end of lemma zenon_L580_ *) % 11.15/11.28 assert (zenon_L581_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.15/11.28 do 0 intro. intros zenon_H1ae zenon_H1af zenon_H18e zenon_Hb9 zenon_H1ab zenon_H70 zenon_H68 zenon_H199 zenon_H114 zenon_H1a6 zenon_H1a9. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ]. % 11.15/11.28 exact (zenon_H1af zenon_H31). % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ]. % 11.15/11.28 apply (zenon_L182_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ]. % 11.15/11.28 apply (zenon_L227_); trivial. % 11.15/11.28 apply (zenon_L245_); trivial. % 11.15/11.28 (* end of lemma zenon_L581_ *) % 11.15/11.28 assert (zenon_L582_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (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)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> False). % 11.15/11.28 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_Ha1 zenon_H122 zenon_H1d4 zenon_H2d zenon_H19c zenon_H198 zenon_H1e zenon_H32 zenon_H109 zenon_H1ae zenon_H1af zenon_Hb9 zenon_H1ab zenon_H1c5 zenon_H1ca zenon_H16b zenon_H70 zenon_H78 zenon_H114 zenon_H1a6 zenon_H1a9 zenon_Ha5 zenon_Hc4 zenon_H149 zenon_H9e zenon_H38 zenon_H15e zenon_H84 zenon_He3 zenon_H1cd zenon_H69 zenon_H166 zenon_H81 zenon_H46 zenon_H1c4 zenon_Hc5 zenon_H89 zenon_H132 zenon_H65 zenon_Hf5 zenon_H3c zenon_Hd9 zenon_H155 zenon_Hcc zenon_H1cc zenon_Hd3 zenon_H199. % 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.28 exact (zenon_He6 zenon_H1f). % 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.15/11.28 apply (zenon_L223_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.15/11.28 exact (zenon_H1cc zenon_Hca). % 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.15/11.28 apply (zenon_L45_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ]. % 11.15/11.28 apply (zenon_L83_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ]. % 11.15/11.28 apply (zenon_L257_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ]. % 11.15/11.28 apply (zenon_L20_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H31 | zenon_intro zenon_H1ce ]. % 11.15/11.28 exact (zenon_H1af zenon_H31). % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1cf ]. % 11.15/11.28 apply (zenon_L580_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hba | zenon_intro zenon_H68 ]. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ]. % 11.15/11.28 exact (zenon_H1af zenon_H31). % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ]. % 11.15/11.28 apply (zenon_L158_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ]. % 11.15/11.28 apply (zenon_L227_); trivial. % 11.15/11.28 apply (zenon_L238_); trivial. % 11.15/11.28 apply (zenon_L581_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.28 apply (zenon_L241_); trivial. % 11.15/11.28 exact (zenon_H199 zenon_H6f). % 11.15/11.28 (* end of lemma zenon_L582_ *) % 11.15/11.28 assert (zenon_L583_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (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)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> False). % 11.15/11.28 do 0 intro. intros zenon_Hec zenon_Hd6 zenon_He6 zenon_Ha1 zenon_H122 zenon_H1d4 zenon_H2d zenon_H19c zenon_H198 zenon_H1e zenon_H32 zenon_H109 zenon_H1ae zenon_H1af zenon_Hb9 zenon_H1ab zenon_H1c5 zenon_H1ca zenon_H16b zenon_H70 zenon_H78 zenon_H114 zenon_H1a6 zenon_H1a9 zenon_Ha5 zenon_H149 zenon_H9e zenon_H38 zenon_H15e zenon_H84 zenon_He3 zenon_H1cd zenon_H69 zenon_H166 zenon_H81 zenon_H46 zenon_H1c4 zenon_Hc5 zenon_H89 zenon_H132 zenon_H65 zenon_Hf5 zenon_H3c zenon_Hd9 zenon_H155 zenon_Hcc zenon_H1cc zenon_Hd3 zenon_H199. % 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.28 exact (zenon_H3c zenon_H37). % 11.15/11.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.28 apply (zenon_L223_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.28 apply (zenon_L246_); trivial. % 11.15/11.28 apply (zenon_L582_); trivial. % 11.15/11.28 (* end of lemma zenon_L583_ *) % 11.15/11.28 assert (zenon_L584_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> False). % 11.15/11.28 do 0 intro. intros zenon_Ha1 zenon_H11c zenon_H130. % 11.15/11.28 cut (((op (e1) (e1)) = (e2)) = ((op (e1) (e1)) = (op (e2) (e1)))). % 11.15/11.28 intro zenon_D_pnotp. % 11.15/11.28 apply zenon_Ha1. % 11.15/11.28 rewrite <- zenon_D_pnotp. % 11.15/11.28 exact zenon_H11c. % 11.15/11.28 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H131]. % 11.15/11.28 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 11.15/11.28 congruence. % 11.15/11.28 apply zenon_Ha4. apply refl_equal. % 11.15/11.28 apply zenon_H131. apply sym_equal. exact zenon_H130. % 11.15/11.28 (* end of lemma zenon_L584_ *) % 11.15/11.28 assert (zenon_L585_ : ((op (e3) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.15/11.28 do 0 intro. intros zenon_H156 zenon_H8d zenon_Ha5. % 11.15/11.28 elim (classic ((e2) = (e2))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H45 ]. % 11.15/11.28 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.15/11.28 intro zenon_D_pnotp. % 11.15/11.28 apply zenon_Ha5. % 11.15/11.28 rewrite <- zenon_D_pnotp. % 11.15/11.28 exact zenon_Ha6. % 11.15/11.28 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.15/11.28 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 11.15/11.28 congruence. % 11.15/11.28 cut (((op (e3) (e0)) = (e1)) = ((e2) = (e1))). % 11.15/11.28 intro zenon_D_pnotp. % 11.15/11.28 apply zenon_Ha7. % 11.15/11.28 rewrite <- zenon_D_pnotp. % 11.15/11.28 exact zenon_H156. % 11.15/11.28 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.15/11.28 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H25e]. % 11.15/11.28 congruence. % 11.15/11.28 exact (zenon_H25e zenon_H8d). % 11.15/11.28 apply zenon_H2f. apply refl_equal. % 11.15/11.28 apply zenon_H45. apply refl_equal. % 11.15/11.28 apply zenon_H45. apply refl_equal. % 11.15/11.28 (* end of lemma zenon_L585_ *) % 11.15/11.28 assert (zenon_L586_ : ((op (e3) (e3)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.28 do 0 intro. intros zenon_H7c zenon_H114 zenon_H75. % 11.15/11.28 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ]. % 11.15/11.28 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e2) (e3)) = (op (e3) (e3)))). % 11.15/11.28 intro zenon_D_pnotp. % 11.15/11.28 apply zenon_H75. % 11.15/11.28 rewrite <- zenon_D_pnotp. % 11.15/11.28 exact zenon_H6a. % 11.15/11.28 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.15/11.28 cut (((op (e3) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 11.15/11.28 congruence. % 11.15/11.28 cut (((op (e3) (e3)) = (e2)) = ((op (e3) (e3)) = (op (e2) (e3)))). % 11.15/11.28 intro zenon_D_pnotp. % 11.15/11.28 apply zenon_H76. % 11.15/11.28 rewrite <- zenon_D_pnotp. % 11.15/11.28 exact zenon_H7c. % 11.15/11.28 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 11.15/11.28 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.15/11.28 congruence. % 11.15/11.28 apply zenon_H6b. apply refl_equal. % 11.15/11.28 apply zenon_H115. apply sym_equal. exact zenon_H114. % 11.15/11.28 apply zenon_H6b. apply refl_equal. % 11.15/11.28 apply zenon_H6b. apply refl_equal. % 11.15/11.28 (* end of lemma zenon_L586_ *) % 11.15/11.28 assert (zenon_L587_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.28 do 0 intro. intros zenon_H9e zenon_Ha5 zenon_H156 zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_H114 zenon_H75. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.28 apply (zenon_L585_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.28 apply (zenon_L322_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.28 apply (zenon_L33_); trivial. % 11.15/11.28 apply (zenon_L586_); trivial. % 11.15/11.28 (* end of lemma zenon_L587_ *) % 11.15/11.28 assert (zenon_L588_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.15/11.28 do 0 intro. intros zenon_H78 zenon_H165 zenon_H16b zenon_H141 zenon_H169 zenon_H8d zenon_H69 zenon_H101. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H68 | zenon_intro zenon_H7a ]. % 11.15/11.28 exact (zenon_H165 zenon_H68). % 11.15/11.28 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H6e | zenon_intro zenon_H7b ]. % 11.15/11.28 apply (zenon_L177_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7c | zenon_intro zenon_H73 ]. % 11.15/11.28 apply (zenon_L133_); trivial. % 11.15/11.28 apply (zenon_L258_); trivial. % 11.15/11.28 (* end of lemma zenon_L588_ *) % 11.15/11.28 assert (zenon_L589_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.28 do 0 intro. intros zenon_H1ae zenon_Hba zenon_H6f zenon_H1a9 zenon_H114 zenon_Hb9 zenon_H78 zenon_H165 zenon_H16b zenon_H141 zenon_H169 zenon_H8d zenon_H69. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ]. % 11.15/11.28 apply (zenon_L41_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ]. % 11.15/11.28 apply (zenon_L449_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ]. % 11.15/11.28 apply (zenon_L227_); trivial. % 11.15/11.28 apply (zenon_L588_); trivial. % 11.15/11.28 (* end of lemma zenon_L589_ *) % 11.15/11.28 assert (zenon_L590_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.28 do 0 intro. intros zenon_H9e zenon_H69 zenon_H169 zenon_H16b zenon_H165 zenon_H78 zenon_Hb9 zenon_H1a9 zenon_H6f zenon_Hba zenon_H1ae zenon_Hdc zenon_H140 zenon_H141 zenon_H158 zenon_H150 zenon_H1f4 zenon_H9b zenon_H84 zenon_H114 zenon_H75. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.28 apply (zenon_L589_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.28 apply (zenon_L415_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.28 apply (zenon_L33_); trivial. % 11.15/11.28 apply (zenon_L586_); trivial. % 11.15/11.28 (* end of lemma zenon_L590_ *) % 11.15/11.28 assert (zenon_L591_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.28 do 0 intro. intros zenon_Hbc zenon_H125 zenon_H23 zenon_H12d zenon_Haa zenon_H19e zenon_H14e zenon_Ha1 zenon_H15e zenon_H162 zenon_H11c zenon_Ha5 zenon_H75 zenon_H84 zenon_H9b zenon_H1f4 zenon_H150 zenon_H158 zenon_H140 zenon_Hdc zenon_H1ae zenon_H1a9 zenon_Hb9 zenon_H78 zenon_H165 zenon_H16b zenon_H169 zenon_H69 zenon_H9e zenon_H66 zenon_Hf5 zenon_H6f zenon_H70. % 11.15/11.28 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.15/11.28 apply (zenon_L113_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.15/11.28 apply (zenon_L515_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.15/11.28 exact (zenon_Haa zenon_Ha9). % 11.15/11.28 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.28 exact (zenon_H14e zenon_H103). % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.28 apply (zenon_L584_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.28 apply (zenon_L147_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.28 apply (zenon_L587_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.28 apply (zenon_L590_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.28 apply (zenon_L66_); trivial. % 11.15/11.28 apply (zenon_L22_); trivial. % 11.15/11.28 (* end of lemma zenon_L591_ *) % 11.15/11.28 assert (zenon_L592_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.28 do 0 intro. intros zenon_H9e zenon_Ha5 zenon_H156 zenon_H109 zenon_H163 zenon_H9b zenon_H84 zenon_H114 zenon_H75. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.28 apply (zenon_L585_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.28 apply (zenon_L275_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.28 apply (zenon_L33_); trivial. % 11.15/11.28 apply (zenon_L586_); trivial. % 11.15/11.28 (* end of lemma zenon_L592_ *) % 11.15/11.28 assert (zenon_L593_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.28 do 0 intro. intros zenon_H15e zenon_H75 zenon_H114 zenon_H84 zenon_H9b zenon_H109 zenon_Ha5 zenon_H9e zenon_H2d zenon_H163 zenon_H66 zenon_Hf5 zenon_H6f zenon_H70. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.28 apply (zenon_L592_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.28 apply (zenon_L213_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.28 apply (zenon_L66_); trivial. % 11.15/11.28 apply (zenon_L22_); trivial. % 11.15/11.28 (* end of lemma zenon_L593_ *) % 11.15/11.28 assert (zenon_L594_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.28 do 0 intro. intros zenon_H19e zenon_H14e zenon_H149 zenon_H5d zenon_H15e zenon_H75 zenon_H84 zenon_H9b zenon_H109 zenon_Ha5 zenon_H9e zenon_H2d zenon_H163 zenon_H66 zenon_Hf5 zenon_H6f zenon_H70. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.28 exact (zenon_H14e zenon_H103). % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.28 apply (zenon_L389_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.28 apply (zenon_L147_); trivial. % 11.15/11.28 apply (zenon_L593_); trivial. % 11.15/11.28 (* end of lemma zenon_L594_ *) % 11.15/11.28 assert (zenon_L595_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.15/11.28 do 0 intro. intros zenon_H13b zenon_H11c zenon_Hea zenon_H1f7 zenon_H3d zenon_H70 zenon_H6f zenon_Hf5 zenon_H66 zenon_H2d zenon_H9e zenon_Ha5 zenon_H109 zenon_H9b zenon_H84 zenon_H75 zenon_H15e zenon_H149 zenon_H14e zenon_H19e zenon_H163 zenon_H81. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.15/11.28 apply (zenon_L336_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.15/11.28 apply (zenon_L321_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.15/11.28 apply (zenon_L594_); trivial. % 11.15/11.28 apply (zenon_L244_); trivial. % 11.15/11.28 (* end of lemma zenon_L595_ *) % 11.15/11.28 assert (zenon_L596_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.15/11.28 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_Hbd zenon_H13b zenon_H11c zenon_Hea zenon_H1f7 zenon_H3d zenon_H70 zenon_Hf5 zenon_H66 zenon_H2d zenon_H9e zenon_Ha5 zenon_H109 zenon_H9b zenon_H84 zenon_H75 zenon_H15e zenon_H149 zenon_H14e zenon_H19e zenon_H163 zenon_H81. % 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.28 exact (zenon_He6 zenon_H1f). % 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.28 apply (zenon_L272_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.28 exact (zenon_Hbd zenon_Hc3). % 11.15/11.28 apply (zenon_L595_); trivial. % 11.15/11.28 (* end of lemma zenon_L596_ *) % 11.15/11.28 assert (zenon_L597_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.15/11.28 do 0 intro. intros zenon_H200 zenon_H104 zenon_H80 zenon_H56 zenon_H11c zenon_H89 zenon_H1a9 zenon_H31. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.28 apply (zenon_L154_); trivial. % 11.15/11.28 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.28 exact (zenon_H56 zenon_H24). % 11.15/11.28 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.28 apply (zenon_L336_); trivial. % 11.15/11.28 apply (zenon_L328_); trivial. % 11.15/11.28 (* end of lemma zenon_L597_ *) % 11.15/11.28 assert (zenon_L598_ : ((op (e2) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (op (e2) (op (e2) (e2))))) -> False). % 11.15/11.28 do 0 intro. intros zenon_Ha2 zenon_H66 zenon_H25f. % 11.15/11.28 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 11.15/11.28 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e0) = (op (e2) (op (e2) (e2))))). % 11.15/11.28 intro zenon_D_pnotp. % 11.15/11.28 apply zenon_H25f. % 11.15/11.28 rewrite <- zenon_D_pnotp. % 11.15/11.28 exact zenon_Had. % 11.15/11.28 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.15/11.28 cut (((op (e2) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H260]. % 11.15/11.28 congruence. % 11.15/11.28 cut (((op (e2) (e1)) = (e0)) = ((op (e2) (op (e2) (e2))) = (e0))). % 11.15/11.28 intro zenon_D_pnotp. % 11.15/11.28 apply zenon_H260. % 11.15/11.28 rewrite <- zenon_D_pnotp. % 11.15/11.28 exact zenon_Ha2. % 11.15/11.28 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.15/11.28 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 11.15/11.28 congruence. % 11.15/11.28 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 11.15/11.28 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e2))))). % 11.15/11.28 intro zenon_D_pnotp. % 11.15/11.28 apply zenon_Hef. % 11.15/11.28 rewrite <- zenon_D_pnotp. % 11.15/11.28 exact zenon_Had. % 11.15/11.28 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.15/11.28 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hee]. % 11.15/11.28 congruence. % 11.15/11.28 apply (zenon_L61_); trivial. % 11.15/11.28 apply zenon_Hae. apply refl_equal. % 11.15/11.28 apply zenon_Hae. apply refl_equal. % 11.15/11.28 apply zenon_H2b. apply refl_equal. % 11.15/11.28 apply zenon_Hae. apply refl_equal. % 11.15/11.28 apply zenon_Hae. apply refl_equal. % 11.15/11.28 (* end of lemma zenon_L598_ *) % 11.15/11.28 assert (zenon_L599_ : ((op (e0) (e2)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> False). % 11.15/11.28 do 0 intro. intros zenon_Hdc zenon_Ha2 zenon_H66. % 11.15/11.28 apply (zenon_notand_s _ _ ax21); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H261 ]. % 11.15/11.28 apply zenon_Hf2. apply sym_equal. exact zenon_H66. % 11.15/11.28 apply (zenon_notand_s _ _ zenon_H261); [ zenon_intro zenon_H215 | zenon_intro zenon_H25f ]. % 11.15/11.28 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ]. % 11.15/11.28 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))). % 11.15/11.28 intro zenon_D_pnotp. % 11.15/11.28 apply zenon_H215. % 11.15/11.28 rewrite <- zenon_D_pnotp. % 11.15/11.28 exact zenon_Hb4. % 11.15/11.28 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5]. % 11.15/11.28 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H216]. % 11.15/11.28 congruence. % 11.15/11.28 cut (((op (e0) (e2)) = (e3)) = ((op (op (e2) (op (e2) (e2))) (e2)) = (e3))). % 11.15/11.28 intro zenon_D_pnotp. % 11.15/11.28 apply zenon_H216. % 11.15/11.28 rewrite <- zenon_D_pnotp. % 11.15/11.28 exact zenon_Hdc. % 11.15/11.28 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.15/11.28 cut (((op (e0) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H262]. % 11.15/11.28 congruence. % 11.15/11.28 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ]. % 11.15/11.28 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((op (e0) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))). % 11.15/11.28 intro zenon_D_pnotp. % 11.15/11.28 apply zenon_H262. % 11.15/11.28 rewrite <- zenon_D_pnotp. % 11.15/11.28 exact zenon_Hb4. % 11.15/11.28 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5]. % 11.15/11.28 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H263]. % 11.15/11.28 congruence. % 11.15/11.28 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.15/11.28 cut (((op (e2) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H260]. % 11.15/11.28 congruence. % 11.15/11.28 cut (((op (e2) (e1)) = (e0)) = ((op (e2) (op (e2) (e2))) = (e0))). % 11.15/11.28 intro zenon_D_pnotp. % 11.15/11.28 apply zenon_H260. % 11.15/11.28 rewrite <- zenon_D_pnotp. % 11.15/11.28 exact zenon_Ha2. % 11.15/11.28 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.15/11.28 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 11.15/11.29 congruence. % 11.15/11.29 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 11.15/11.29 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e2))))). % 11.15/11.29 intro zenon_D_pnotp. % 11.15/11.29 apply zenon_Hef. % 11.15/11.29 rewrite <- zenon_D_pnotp. % 11.15/11.29 exact zenon_Had. % 11.15/11.29 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.15/11.29 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hee]. % 11.15/11.29 congruence. % 11.15/11.29 apply (zenon_L61_); trivial. % 11.15/11.29 apply zenon_Hae. apply refl_equal. % 11.15/11.29 apply zenon_Hae. apply refl_equal. % 11.15/11.29 apply zenon_H2b. apply refl_equal. % 11.15/11.29 apply zenon_H45. apply refl_equal. % 11.15/11.29 apply zenon_Hb5. apply refl_equal. % 11.15/11.29 apply zenon_Hb5. apply refl_equal. % 11.15/11.29 apply zenon_H3a. apply refl_equal. % 11.15/11.29 apply zenon_Hb5. apply refl_equal. % 11.15/11.29 apply zenon_Hb5. apply refl_equal. % 11.15/11.29 apply (zenon_L598_); trivial. % 11.15/11.29 (* end of lemma zenon_L599_ *) % 11.15/11.29 assert (zenon_L600_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.15/11.29 do 0 intro. intros zenon_H200 zenon_H104 zenon_H80 zenon_H81 zenon_H19e zenon_H14e zenon_H149 zenon_H15e zenon_H75 zenon_H84 zenon_H9b zenon_H109 zenon_Ha5 zenon_H9e zenon_H2d zenon_H66 zenon_Hf5 zenon_H70 zenon_H3d zenon_H1f7 zenon_H11c zenon_H13b zenon_Hbd zenon_He6 zenon_Hd6 zenon_Hdc zenon_H56 zenon_H12c zenon_H1fc zenon_H1a9 zenon_H31. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.29 apply (zenon_L154_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.29 exact (zenon_H56 zenon_H24). % 11.15/11.29 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.29 apply (zenon_L88_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.29 exact (zenon_H56 zenon_H24). % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.29 apply (zenon_L599_); trivial. % 11.15/11.29 apply (zenon_L596_); trivial. % 11.15/11.29 apply (zenon_L328_); trivial. % 11.15/11.29 (* end of lemma zenon_L600_ *) % 11.15/11.29 assert (zenon_L601_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((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)) = (e0))) -> ((op (e0) (e2)) = (e3)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.15/11.29 do 0 intro. intros zenon_Hd9 zenon_H41 zenon_H31 zenon_H1a9 zenon_H1fc zenon_H12c zenon_H56 zenon_Hdc zenon_Hd6 zenon_He6 zenon_Hbd zenon_H13b zenon_H11c zenon_H1f7 zenon_H70 zenon_Hf5 zenon_H66 zenon_H2d zenon_H9e zenon_Ha5 zenon_H109 zenon_H9b zenon_H84 zenon_H75 zenon_H15e zenon_H149 zenon_H14e zenon_H19e zenon_H104 zenon_H200 zenon_H81 zenon_H80 zenon_H14f. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.29 apply (zenon_L58_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.29 apply (zenon_L600_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.29 apply (zenon_L26_); trivial. % 11.15/11.29 exact (zenon_H14f zenon_Hc4). % 11.15/11.29 (* end of lemma zenon_L601_ *) % 11.15/11.29 assert (zenon_L602_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((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)) = (e0))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e3) (e0)) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.15/11.29 do 0 intro. intros zenon_H180 zenon_H22 zenon_H81 zenon_Hd9 zenon_H41 zenon_H1a9 zenon_H1fc zenon_H12c zenon_H56 zenon_Hd6 zenon_He6 zenon_Hbd zenon_H13b zenon_H11c zenon_H1f7 zenon_H70 zenon_Hf5 zenon_H66 zenon_H2d zenon_H9e zenon_Ha5 zenon_H84 zenon_H75 zenon_H15e zenon_H149 zenon_H14e zenon_H19e zenon_H104 zenon_H200 zenon_H80 zenon_H14f zenon_H1e zenon_H38 zenon_H14b zenon_H31 zenon_H109. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.29 apply (zenon_L151_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.29 apply (zenon_L253_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.29 apply (zenon_L8_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.29 apply (zenon_L597_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.29 apply (zenon_L601_); trivial. % 11.15/11.29 apply (zenon_L73_); trivial. % 11.15/11.29 apply (zenon_L75_); trivial. % 11.15/11.29 (* end of lemma zenon_L602_ *) % 11.15/11.29 assert (zenon_L603_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e3) (e0)) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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)) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.29 do 0 intro. intros zenon_H1ae zenon_H109 zenon_H14b zenon_H38 zenon_H1e zenon_H14f zenon_H80 zenon_H200 zenon_H104 zenon_H19e zenon_H14e zenon_H149 zenon_H15e zenon_H75 zenon_H84 zenon_Ha5 zenon_H9e zenon_H2d zenon_H66 zenon_Hf5 zenon_H70 zenon_H1f7 zenon_H11c zenon_H13b zenon_Hbd zenon_He6 zenon_Hd6 zenon_H56 zenon_H12c zenon_H1fc zenon_H41 zenon_Hd9 zenon_H81 zenon_H22 zenon_H180 zenon_H6f zenon_H1a9 zenon_H114 zenon_Hb9 zenon_H78 zenon_H165 zenon_H16b zenon_H141 zenon_H169 zenon_H8d zenon_H69. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ]. % 11.15/11.29 apply (zenon_L602_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ]. % 11.15/11.29 apply (zenon_L449_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ]. % 11.15/11.29 apply (zenon_L227_); trivial. % 11.15/11.29 apply (zenon_L588_); trivial. % 11.15/11.29 (* end of lemma zenon_L603_ *) % 11.15/11.29 assert (zenon_L604_ : ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (e0))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e3) (e0)) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.29 do 0 intro. intros zenon_H9b zenon_H162 zenon_H69 zenon_H8d zenon_H169 zenon_H16b zenon_H165 zenon_H78 zenon_Hb9 zenon_H114 zenon_H1a9 zenon_H180 zenon_H22 zenon_H81 zenon_Hd9 zenon_H41 zenon_H1fc zenon_H12c zenon_H56 zenon_Hd6 zenon_He6 zenon_Hbd zenon_H13b zenon_H11c zenon_H1f7 zenon_H2d zenon_H9e zenon_Ha5 zenon_H84 zenon_H75 zenon_H15e zenon_H149 zenon_H14e zenon_H19e zenon_H104 zenon_H200 zenon_H80 zenon_H14f zenon_H1e zenon_H38 zenon_H14b zenon_H109 zenon_H1ae zenon_H66 zenon_Hf5 zenon_H6f zenon_H70. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.29 apply (zenon_L587_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.29 apply (zenon_L603_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.29 apply (zenon_L66_); trivial. % 11.15/11.29 apply (zenon_L22_); trivial. % 11.15/11.29 (* end of lemma zenon_L604_ *) % 11.15/11.29 assert (zenon_L605_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.15/11.29 do 0 intro. intros zenon_H15a zenon_Hf0 zenon_H158 zenon_H1e zenon_H155 zenon_H95 zenon_H138 zenon_H14f. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ]. % 11.15/11.29 apply (zenon_L121_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ]. % 11.15/11.29 apply (zenon_L120_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ]. % 11.15/11.29 apply (zenon_L93_); trivial. % 11.15/11.29 exact (zenon_H14f zenon_Hc4). % 11.15/11.29 (* end of lemma zenon_L605_ *) % 11.15/11.29 assert (zenon_L606_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.15/11.29 do 0 intro. intros zenon_H15a zenon_Hf0 zenon_H1e zenon_H155 zenon_H9c zenon_H158 zenon_H14f. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ]. % 11.15/11.29 apply (zenon_L121_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ]. % 11.15/11.29 apply (zenon_L120_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ]. % 11.15/11.29 apply (zenon_L252_); trivial. % 11.15/11.29 exact (zenon_H14f zenon_Hc4). % 11.15/11.29 (* end of lemma zenon_L606_ *) % 11.15/11.29 assert (zenon_L607_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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)) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.29 do 0 intro. intros zenon_Ha1 zenon_Hdd zenon_H70 zenon_H6f zenon_Hf5 zenon_H66 zenon_H1ae zenon_H109 zenon_H14b zenon_H38 zenon_H80 zenon_H200 zenon_H104 zenon_H19e zenon_H14e zenon_H149 zenon_H15e zenon_H84 zenon_Ha5 zenon_H9e zenon_H2d zenon_H1f7 zenon_H11c zenon_H13b zenon_Hbd zenon_He6 zenon_Hd6 zenon_H56 zenon_H12c zenon_H1fc zenon_H41 zenon_Hd9 zenon_H81 zenon_H22 zenon_H180 zenon_H1a9 zenon_Hb9 zenon_H78 zenon_H165 zenon_H16b zenon_H169 zenon_H69 zenon_H162 zenon_H9b zenon_H138 zenon_H14f zenon_H158 zenon_H155 zenon_H1e zenon_Hf0 zenon_H15a zenon_H75. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.29 exact (zenon_H14e zenon_H103). % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.29 apply (zenon_L584_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.29 apply (zenon_L145_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.29 apply (zenon_L604_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.29 apply (zenon_L605_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.29 apply (zenon_L606_); trivial. % 11.15/11.29 apply (zenon_L586_); trivial. % 11.15/11.29 (* end of lemma zenon_L607_ *) % 11.15/11.29 assert (zenon_L608_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.15/11.29 do 0 intro. intros zenon_H19e zenon_H14e zenon_H11c zenon_Ha1 zenon_Ha5 zenon_H66 zenon_Hb9 zenon_H108. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.29 exact (zenon_H14e zenon_H103). % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.29 apply (zenon_L584_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.29 apply (zenon_L147_); trivial. % 11.15/11.29 apply (zenon_L227_); trivial. % 11.15/11.29 (* end of lemma zenon_L608_ *) % 11.15/11.29 assert (zenon_L609_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.15/11.29 do 0 intro. intros zenon_H180 zenon_H1e zenon_H22 zenon_H109 zenon_He3 zenon_H19e zenon_H14e zenon_H11c zenon_Ha1 zenon_Ha5 zenon_H66 zenon_Hb9. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.29 apply (zenon_L151_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.29 apply (zenon_L253_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.29 apply (zenon_L206_); trivial. % 11.15/11.29 apply (zenon_L608_); trivial. % 11.15/11.29 (* end of lemma zenon_L609_ *) % 11.15/11.29 assert (zenon_L610_ : (((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) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.15/11.29 do 0 intro. intros zenon_H15a zenon_H163 zenon_H138 zenon_H169 zenon_H6e zenon_H9c zenon_H158 zenon_H14f. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ]. % 11.15/11.29 apply (zenon_L134_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ]. % 11.15/11.29 apply (zenon_L376_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ]. % 11.15/11.29 apply (zenon_L252_); trivial. % 11.15/11.29 exact (zenon_H14f zenon_Hc4). % 11.15/11.29 (* end of lemma zenon_L610_ *) % 11.15/11.29 assert (zenon_L611_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.15/11.29 do 0 intro. intros zenon_H1b9 zenon_H84 zenon_H109 zenon_H156 zenon_H9e zenon_H11c zenon_He9 zenon_Ha5 zenon_H66 zenon_H78 zenon_H165 zenon_H14f zenon_H158 zenon_H169 zenon_H138 zenon_H163 zenon_H15a zenon_H75 zenon_H114 zenon_H69 zenon_H101. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.15/11.29 apply (zenon_L592_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.15/11.29 apply (zenon_L273_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.15/11.29 apply (zenon_L147_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H68 | zenon_intro zenon_H7a ]. % 11.15/11.29 exact (zenon_H165 zenon_H68). % 11.15/11.29 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H6e | zenon_intro zenon_H7b ]. % 11.15/11.29 apply (zenon_L610_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7c | zenon_intro zenon_H73 ]. % 11.15/11.29 apply (zenon_L586_); trivial. % 11.15/11.29 apply (zenon_L258_); trivial. % 11.15/11.29 (* end of lemma zenon_L611_ *) % 11.15/11.29 assert (zenon_L612_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.29 do 0 intro. intros zenon_H19e zenon_H14e zenon_Ha1 zenon_Hdd zenon_H9e zenon_Ha5 zenon_H156 zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_H75. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.29 exact (zenon_H14e zenon_H103). % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.29 apply (zenon_L584_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.29 apply (zenon_L145_); trivial. % 11.15/11.29 apply (zenon_L587_); trivial. % 11.15/11.29 (* end of lemma zenon_L612_ *) % 11.15/11.29 assert (zenon_L613_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (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 (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.15/11.29 do 0 intro. intros zenon_H1da zenon_H88 zenon_He6 zenon_Hec zenon_H180 zenon_H81 zenon_H149 zenon_H1b9 zenon_H109 zenon_He9 zenon_H78 zenon_H165 zenon_H14f zenon_H158 zenon_H169 zenon_H138 zenon_H15a zenon_H69 zenon_H38 zenon_H13b zenon_H12a zenon_H80 zenon_H56 zenon_H2d zenon_H1fc zenon_H14b zenon_H11f zenon_H75 zenon_H84 zenon_H162 zenon_H9e zenon_Hdd zenon_H19e zenon_H14e zenon_H11c zenon_Ha1 zenon_Ha5 zenon_H66 zenon_Hb9. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.29 apply (zenon_L465_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.29 exact (zenon_He6 zenon_H1f). % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.29 apply (zenon_L398_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.29 apply (zenon_L291_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.29 apply (zenon_L296_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.29 apply (zenon_L294_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.29 apply (zenon_L269_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.29 exact (zenon_H56 zenon_H24). % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.29 apply (zenon_L460_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.15/11.29 apply (zenon_L296_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.15/11.29 apply (zenon_L285_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.29 exact (zenon_H14e zenon_H103). % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.29 apply (zenon_L389_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.29 apply (zenon_L147_); trivial. % 11.15/11.29 apply (zenon_L611_); trivial. % 11.15/11.29 apply (zenon_L244_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.29 apply (zenon_L81_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.29 apply (zenon_L612_); trivial. % 11.15/11.29 apply (zenon_L608_); trivial. % 11.15/11.29 (* end of lemma zenon_L613_ *) % 11.15/11.29 assert (zenon_L614_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.15/11.29 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H1a9 zenon_H186. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.29 exact (zenon_He6 zenon_H1f). % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.29 apply (zenon_L272_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.29 apply (zenon_L207_); trivial. % 11.15/11.29 apply (zenon_L449_); trivial. % 11.15/11.29 (* end of lemma zenon_L614_ *) % 11.15/11.29 assert (zenon_L615_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.15/11.29 do 0 intro. intros zenon_H219 zenon_He3 zenon_H22 zenon_Hb9 zenon_Ha1 zenon_H14e zenon_H19e zenon_H9e zenon_H162 zenon_H84 zenon_H75 zenon_H14b zenon_H1fc zenon_H2d zenon_H56 zenon_H80 zenon_H12a zenon_H13b zenon_H38 zenon_H69 zenon_H15a zenon_H138 zenon_H169 zenon_H158 zenon_H14f zenon_H165 zenon_H78 zenon_He9 zenon_H109 zenon_H1b9 zenon_H149 zenon_H81 zenon_H180 zenon_Hec zenon_H88 zenon_H1da zenon_Hdd zenon_Hd6 zenon_He6 zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H1a9. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.29 apply (zenon_L609_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.29 apply (zenon_L613_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.29 apply (zenon_L98_); trivial. % 11.15/11.29 apply (zenon_L614_); trivial. % 11.15/11.29 (* end of lemma zenon_L615_ *) % 11.15/11.29 assert (zenon_L616_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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)) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.29 do 0 intro. intros zenon_Hfd zenon_Hcc zenon_H1da zenon_H88 zenon_Hec zenon_H1b9 zenon_He9 zenon_H12a zenon_H219 zenon_H10e zenon_H1a7 zenon_Haa zenon_Ha1 zenon_Hdd zenon_H70 zenon_Hf5 zenon_H66 zenon_H1ae zenon_H109 zenon_H14b zenon_H38 zenon_H80 zenon_H200 zenon_H104 zenon_H19e zenon_H14e zenon_H149 zenon_H15e zenon_H84 zenon_Ha5 zenon_H9e zenon_H2d zenon_H1f7 zenon_H11c zenon_H13b zenon_Hbd zenon_He6 zenon_Hd6 zenon_H56 zenon_H12c zenon_H1fc zenon_H41 zenon_Hd9 zenon_H81 zenon_H22 zenon_H180 zenon_H1a9 zenon_Hb9 zenon_H78 zenon_H165 zenon_H16b zenon_H169 zenon_H69 zenon_H162 zenon_H9b zenon_H138 zenon_H14f zenon_H158 zenon_H155 zenon_H1e zenon_H15a zenon_H75. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.29 exact (zenon_He6 zenon_H1f). % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.29 apply (zenon_L272_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.29 exact (zenon_Hbd zenon_Hc3). % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ]. % 11.15/11.29 apply (zenon_L615_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ]. % 11.15/11.29 apply (zenon_L537_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ]. % 11.15/11.29 exact (zenon_Haa zenon_Ha9). % 11.15/11.29 apply (zenon_L607_); trivial. % 11.15/11.29 (* end of lemma zenon_L616_ *) % 11.15/11.29 assert (zenon_L617_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.29 do 0 intro. intros zenon_H15e zenon_Ha5 zenon_H101 zenon_H69 zenon_H8d zenon_H169 zenon_H16b zenon_H165 zenon_H78 zenon_H66 zenon_Hf5 zenon_H6f zenon_H70. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.29 apply (zenon_L585_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.29 apply (zenon_L588_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.29 apply (zenon_L66_); trivial. % 11.15/11.29 apply (zenon_L22_); trivial. % 11.15/11.29 (* end of lemma zenon_L617_ *) % 11.15/11.29 assert (zenon_L618_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.29 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_H11c zenon_H2d zenon_Hea zenon_H15e zenon_Ha5 zenon_H101 zenon_H69 zenon_H8d zenon_H169 zenon_H16b zenon_H165 zenon_H78 zenon_H66 zenon_Hf5 zenon_H70. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.29 exact (zenon_He6 zenon_H1f). % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.29 apply (zenon_L272_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.29 apply (zenon_L316_); trivial. % 11.15/11.29 apply (zenon_L617_); trivial. % 11.15/11.29 (* end of lemma zenon_L618_ *) % 11.15/11.29 assert (zenon_L619_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.29 do 0 intro. intros zenon_H9e zenon_H70 zenon_Hf5 zenon_H66 zenon_H78 zenon_H165 zenon_H16b zenon_H169 zenon_H69 zenon_H101 zenon_Ha5 zenon_H15e zenon_Hea zenon_H2d zenon_He6 zenon_Hd6 zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_H114 zenon_H75. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.29 apply (zenon_L618_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.29 apply (zenon_L322_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.29 apply (zenon_L33_); trivial. % 11.15/11.29 apply (zenon_L586_); trivial. % 11.15/11.29 (* end of lemma zenon_L619_ *) % 11.15/11.29 assert (zenon_L620_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.29 do 0 intro. intros zenon_H19e zenon_H14e zenon_Ha1 zenon_H9e zenon_H70 zenon_Hf5 zenon_H66 zenon_H78 zenon_H165 zenon_H16b zenon_H169 zenon_H69 zenon_H101 zenon_Ha5 zenon_H15e zenon_Hea zenon_H2d zenon_He6 zenon_Hd6 zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_H75. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.29 exact (zenon_H14e zenon_H103). % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.29 apply (zenon_L584_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.29 apply (zenon_L147_); trivial. % 11.15/11.29 apply (zenon_L619_); trivial. % 11.15/11.29 (* end of lemma zenon_L620_ *) % 11.15/11.29 assert (zenon_L621_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.15/11.29 do 0 intro. intros zenon_Hbc zenon_H125 zenon_H23 zenon_H12d zenon_H1f4 zenon_H140 zenon_H166 zenon_Hfd zenon_H219 zenon_H10e zenon_Haa zenon_H70 zenon_Hf5 zenon_H1ae zenon_H200 zenon_H104 zenon_H15e zenon_H1f7 zenon_Hbd zenon_H12c zenon_H41 zenon_Hd9 zenon_H22 zenon_H16b zenon_H155 zenon_Hb9 zenon_Ha1 zenon_H14e zenon_H19e zenon_H9e zenon_H162 zenon_H84 zenon_H75 zenon_H14b zenon_H1fc zenon_H2d zenon_H56 zenon_H80 zenon_H12a zenon_H13b zenon_H38 zenon_H69 zenon_H15a zenon_H138 zenon_H169 zenon_H158 zenon_H14f zenon_H165 zenon_H78 zenon_He9 zenon_H109 zenon_H1b9 zenon_H149 zenon_H81 zenon_H180 zenon_Hec zenon_H88 zenon_H1da zenon_Hdd zenon_Hd6 zenon_He6 zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H1a9. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.29 apply (zenon_L151_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.29 apply (zenon_L253_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.29 apply (zenon_L8_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.29 apply (zenon_L292_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.29 apply (zenon_L58_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.29 apply (zenon_L154_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.29 exact (zenon_H56 zenon_H24). % 11.15/11.29 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.29 exact (zenon_He6 zenon_H1f). % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.29 apply (zenon_L272_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.29 exact (zenon_Hbd zenon_Hc3). % 11.15/11.29 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.29 apply (zenon_L591_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.29 apply (zenon_L596_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.29 apply (zenon_L607_); trivial. % 11.15/11.29 exact (zenon_H165 zenon_H68). % 11.15/11.29 apply (zenon_L616_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.29 apply (zenon_L26_); trivial. % 11.15/11.29 exact (zenon_H14f zenon_Hc4). % 11.15/11.29 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.29 apply (zenon_L154_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.29 exact (zenon_H56 zenon_H24). % 11.15/11.29 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.29 apply (zenon_L620_); trivial. % 11.15/11.29 apply (zenon_L616_); trivial. % 11.15/11.29 apply (zenon_L608_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.29 apply (zenon_L613_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.29 apply (zenon_L98_); trivial. % 11.15/11.29 apply (zenon_L614_); trivial. % 11.15/11.29 (* end of lemma zenon_L621_ *) % 11.15/11.29 assert (zenon_L622_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.29 do 0 intro. intros zenon_H9e zenon_H69 zenon_H169 zenon_H141 zenon_H16b zenon_H165 zenon_H78 zenon_Hb9 zenon_H1a9 zenon_H6f zenon_Hba zenon_H1ae zenon_H138 zenon_H14f zenon_H158 zenon_H155 zenon_H1e zenon_Hf0 zenon_H15a zenon_H114 zenon_H75. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.29 apply (zenon_L589_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.29 apply (zenon_L605_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.29 apply (zenon_L606_); trivial. % 11.15/11.29 apply (zenon_L586_); trivial. % 11.15/11.29 (* end of lemma zenon_L622_ *) % 11.15/11.29 assert (zenon_L623_ : (((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)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False). % 11.15/11.29 do 0 intro. intros zenon_Hbc zenon_H125 zenon_H150 zenon_H23 zenon_H12d zenon_Haa zenon_H1a6 zenon_H1a7. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.15/11.29 apply (zenon_L113_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.15/11.29 apply (zenon_L515_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.15/11.29 exact (zenon_Haa zenon_Ha9). % 11.15/11.29 apply (zenon_L189_); trivial. % 11.15/11.29 (* end of lemma zenon_L623_ *) % 11.15/11.29 assert (zenon_L624_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e0)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.15/11.29 do 0 intro. intros zenon_H1da zenon_H88 zenon_H11f zenon_He6 zenon_H66 zenon_Hec zenon_H150 zenon_H2d. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.29 apply (zenon_L465_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.29 exact (zenon_He6 zenon_H1f). % 11.15/11.29 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.29 apply (zenon_L398_); trivial. % 11.15/11.29 apply (zenon_L169_); trivial. % 11.15/11.29 (* end of lemma zenon_L624_ *) % 11.15/11.29 assert (zenon_L625_ : (((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)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((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 (e2) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.15/11.29 do 0 intro. intros zenon_H166 zenon_Hc5 zenon_He5 zenon_H101 zenon_H69 zenon_H114 zenon_H75 zenon_H15a zenon_H138 zenon_H169 zenon_H158 zenon_H14f zenon_H78 zenon_H66 zenon_Ha5 zenon_He9 zenon_H11c zenon_H9e zenon_H156 zenon_H109 zenon_H1b9 zenon_He3 zenon_H84 zenon_H165. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.29 apply (zenon_L127_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.29 apply (zenon_L611_); trivial. % 11.15/11.29 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.29 apply (zenon_L157_); trivial. % 11.15/11.29 exact (zenon_H165 zenon_H68). % 11.15/11.29 (* end of lemma zenon_L625_ *) % 11.15/11.29 assert (zenon_L626_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (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)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((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 (e1) (e1)) = (op (e1) (e2)))) -> (((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) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H219 zenon_Hb9 zenon_Ha1 zenon_H14e zenon_H19e zenon_H109 zenon_H22 zenon_H14b zenon_H149 zenon_H38 zenon_H81 zenon_H166 zenon_Hc5 zenon_He5 zenon_H69 zenon_H75 zenon_H15a zenon_H138 zenon_H169 zenon_H158 zenon_H14f zenon_H78 zenon_He9 zenon_H9e zenon_H1b9 zenon_H84 zenon_H165 zenon_H180 zenon_Hec zenon_H88 zenon_H1da zenon_H2d zenon_He3 zenon_Hd6 zenon_He6 zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H1a9. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.30 apply (zenon_L609_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.30 apply (zenon_L465_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.30 exact (zenon_He6 zenon_H1f). % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.30 apply (zenon_L398_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.30 apply (zenon_L291_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.30 apply (zenon_L296_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.30 apply (zenon_L183_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.30 exact (zenon_H14e zenon_H103). % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.30 apply (zenon_L584_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.30 apply (zenon_L147_); trivial. % 11.15/11.30 apply (zenon_L625_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.30 apply (zenon_L253_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.30 apply (zenon_L206_); trivial. % 11.15/11.30 apply (zenon_L608_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.30 apply (zenon_L467_); trivial. % 11.15/11.30 apply (zenon_L614_); trivial. % 11.15/11.30 (* end of lemma zenon_L626_ *) % 11.15/11.30 assert (zenon_L627_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H31 zenon_He3 zenon_H24d. % 11.15/11.30 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H33 | zenon_intro zenon_H34 ]. % 11.15/11.30 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e2)) = (op (e0) (e3)))). % 11.15/11.30 intro zenon_D_pnotp. % 11.15/11.30 apply zenon_H24d. % 11.15/11.30 rewrite <- zenon_D_pnotp. % 11.15/11.30 exact zenon_H33. % 11.15/11.30 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34]. % 11.15/11.30 cut (((op (e0) (e3)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H24e]. % 11.15/11.30 congruence. % 11.15/11.30 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e0) (e2)))). % 11.15/11.30 intro zenon_D_pnotp. % 11.15/11.30 apply zenon_H24e. % 11.15/11.30 rewrite <- zenon_D_pnotp. % 11.15/11.30 exact zenon_H31. % 11.15/11.30 cut (((e0) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H242]. % 11.15/11.30 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H34]. % 11.15/11.30 congruence. % 11.15/11.30 apply zenon_H34. apply refl_equal. % 11.15/11.30 apply zenon_H242. apply sym_equal. exact zenon_He3. % 11.15/11.30 apply zenon_H34. apply refl_equal. % 11.15/11.30 apply zenon_H34. apply refl_equal. % 11.15/11.30 (* end of lemma zenon_L627_ *) % 11.15/11.30 assert (zenon_L628_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H9e zenon_H89 zenon_H138 zenon_H14f zenon_H158 zenon_H155 zenon_H1e zenon_Hf0 zenon_H15a zenon_H114 zenon_H75. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.30 apply (zenon_L30_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.30 apply (zenon_L605_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.30 apply (zenon_L606_); trivial. % 11.15/11.30 apply (zenon_L586_); trivial. % 11.15/11.30 (* end of lemma zenon_L628_ *) % 11.15/11.30 assert (zenon_L629_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H19e zenon_H14e zenon_H11c zenon_Ha1 zenon_H9b zenon_Hdd zenon_H9e zenon_H89 zenon_H138 zenon_H14f zenon_H158 zenon_H155 zenon_H1e zenon_Hf0 zenon_H15a zenon_H75. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.30 exact (zenon_H14e zenon_H103). % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.30 apply (zenon_L584_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.30 apply (zenon_L145_); trivial. % 11.15/11.30 apply (zenon_L628_); trivial. % 11.15/11.30 (* end of lemma zenon_L629_ *) % 11.15/11.30 assert (zenon_L630_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H1da zenon_H88 zenon_He6 zenon_H66 zenon_Hec zenon_H180 zenon_H81 zenon_H38 zenon_H149 zenon_H14b zenon_H11f zenon_H75 zenon_H84 zenon_H162 zenon_H11c zenon_Ha5 zenon_H9e zenon_Hdd zenon_Ha1 zenon_H14e zenon_H19e zenon_H31 zenon_H109. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.30 apply (zenon_L465_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.30 exact (zenon_He6 zenon_H1f). % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.30 apply (zenon_L398_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.30 apply (zenon_L297_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.30 apply (zenon_L81_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.30 apply (zenon_L612_); trivial. % 11.15/11.30 apply (zenon_L75_); trivial. % 11.15/11.30 (* end of lemma zenon_L630_ *) % 11.15/11.30 assert (zenon_L631_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H14b zenon_H38 zenon_H1e zenon_H1a9 zenon_H11c zenon_Hc5 zenon_H200 zenon_H150 zenon_H138 zenon_H66 zenon_H56 zenon_H12c zenon_H1fc zenon_H31 zenon_H81. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.30 apply (zenon_L8_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.30 apply (zenon_L127_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.30 exact (zenon_H56 zenon_H24). % 11.15/11.30 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.30 apply (zenon_L336_); trivial. % 11.15/11.30 apply (zenon_L328_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.30 apply (zenon_L88_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.30 exact (zenon_H56 zenon_H24). % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.30 apply (zenon_L599_); trivial. % 11.15/11.30 apply (zenon_L134_); trivial. % 11.15/11.30 apply (zenon_L73_); trivial. % 11.15/11.30 (* end of lemma zenon_L631_ *) % 11.15/11.30 assert (zenon_L632_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H200 zenon_H104 zenon_H80 zenon_H56 zenon_Hc5 zenon_Hc4 zenon_H1d zenon_H175 zenon_He6 zenon_H1f0 zenon_H20c zenon_H68 zenon_H70. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.30 apply (zenon_L154_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.30 exact (zenon_H56 zenon_H24). % 11.15/11.30 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ]. % 11.15/11.30 apply (zenon_L352_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ]. % 11.15/11.30 exact (zenon_He6 zenon_H1f). % 11.15/11.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ]. % 11.15/11.30 apply (zenon_L281_); trivial. % 11.15/11.30 apply (zenon_L43_); trivial. % 11.15/11.30 apply (zenon_L228_); trivial. % 11.15/11.30 (* end of lemma zenon_L632_ *) % 11.15/11.30 assert (zenon_L633_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.30 do 0 intro. intros zenon_Hbc zenon_H70 zenon_H20c zenon_H1f0 zenon_He6 zenon_H175 zenon_H1d zenon_Hc5 zenon_H56 zenon_H104 zenon_H200 zenon_H125 zenon_Hc4 zenon_H14e zenon_H122 zenon_H1e zenon_H12a zenon_H127 zenon_Haa zenon_H68 zenon_H75. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.15/11.30 apply (zenon_L632_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.15/11.30 apply (zenon_L462_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.15/11.30 exact (zenon_Haa zenon_Ha9). % 11.15/11.30 apply (zenon_L221_); trivial. % 11.15/11.30 (* end of lemma zenon_L633_ *) % 11.15/11.30 assert (zenon_L634_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H9e zenon_H149 zenon_Hc4 zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_H114 zenon_H75. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.30 apply (zenon_L110_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.30 apply (zenon_L322_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.30 apply (zenon_L33_); trivial. % 11.15/11.30 apply (zenon_L586_); trivial. % 11.15/11.30 (* end of lemma zenon_L634_ *) % 11.15/11.30 assert (zenon_L635_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.15/11.30 do 0 intro. intros zenon_H13b zenon_H81 zenon_H23 zenon_Hcb zenon_He9 zenon_H75 zenon_H84 zenon_H9b zenon_H162 zenon_H11c zenon_H149 zenon_H9e zenon_Hdd zenon_H14e zenon_H19e zenon_H138 zenon_Hc4. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.15/11.30 apply (zenon_L292_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.15/11.30 apply (zenon_L303_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.30 exact (zenon_H14e zenon_H103). % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.30 apply (zenon_L389_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.30 apply (zenon_L145_); trivial. % 11.15/11.30 apply (zenon_L634_); trivial. % 11.15/11.30 apply (zenon_L426_); trivial. % 11.15/11.30 (* end of lemma zenon_L635_ *) % 11.15/11.30 assert (zenon_L636_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> False). % 11.15/11.30 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_Ha5 zenon_Hbd zenon_Hd3 zenon_Hc5 zenon_Hc4 zenon_H138 zenon_H19e zenon_H14e zenon_Hdd zenon_H9e zenon_H149 zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_H75 zenon_He9 zenon_H23 zenon_H81 zenon_H13b zenon_H38. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.30 exact (zenon_He6 zenon_H1f). % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.30 apply (zenon_L272_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.30 exact (zenon_Hbd zenon_Hc3). % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.15/11.30 apply (zenon_L43_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.15/11.30 apply (zenon_L285_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.15/11.30 apply (zenon_L635_); trivial. % 11.15/11.30 apply (zenon_L47_); trivial. % 11.15/11.30 (* end of lemma zenon_L636_ *) % 11.15/11.30 assert (zenon_L637_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.15/11.30 do 0 intro. intros zenon_H19e zenon_H14e zenon_H149 zenon_H5d zenon_Ha5 zenon_H66 zenon_Hb9 zenon_H108. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.30 exact (zenon_H14e zenon_H103). % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.30 apply (zenon_L389_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.30 apply (zenon_L147_); trivial. % 11.15/11.30 apply (zenon_L227_); trivial. % 11.15/11.30 (* end of lemma zenon_L637_ *) % 11.15/11.30 assert (zenon_L638_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e0)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H1da zenon_H88 zenon_H11f zenon_He6 zenon_H66 zenon_Hec zenon_Hc4 zenon_H38. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.30 apply (zenon_L465_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.30 exact (zenon_He6 zenon_H1f). % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.30 apply (zenon_L398_); trivial. % 11.15/11.30 apply (zenon_L239_); trivial. % 11.15/11.30 (* end of lemma zenon_L638_ *) % 11.15/11.30 assert (zenon_L639_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H219 zenon_H16b zenon_H68 zenon_H127 zenon_H12a zenon_H122 zenon_H14e zenon_H125 zenon_H56 zenon_H241 zenon_He3 zenon_H1fc zenon_H38 zenon_Hc4 zenon_Hec zenon_H88 zenon_H1da zenon_Hdd zenon_Hd6 zenon_He6 zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H1a9. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.30 apply (zenon_L464_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.30 apply (zenon_L638_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.30 apply (zenon_L98_); trivial. % 11.15/11.30 apply (zenon_L614_); trivial. % 11.15/11.30 (* end of lemma zenon_L639_ *) % 11.15/11.30 assert (zenon_L640_ : ((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0))) -> ((op (e1) (e1)) = (e2)) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e1)) -> False). % 11.15/11.30 do 0 intro. intros zenon_H264 zenon_H11c zenon_H109 zenon_H1f. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.30 exact (zenon_He6 zenon_H1f). % 11.15/11.30 apply (zenon_L149_); trivial. % 11.15/11.30 (* end of lemma zenon_L640_ *) % 11.15/11.30 assert (zenon_L641_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> False). % 11.15/11.30 do 0 intro. intros zenon_H1d zenon_H2c zenon_He5. % 11.15/11.30 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e1) (e0)))). % 11.15/11.30 intro zenon_D_pnotp. % 11.15/11.30 apply zenon_H1d. % 11.15/11.30 rewrite <- zenon_D_pnotp. % 11.15/11.30 exact zenon_H2c. % 11.15/11.30 cut (((e0) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H161]. % 11.15/11.30 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 11.15/11.30 congruence. % 11.15/11.30 apply zenon_H21. apply refl_equal. % 11.15/11.30 apply zenon_H161. apply sym_equal. exact zenon_He5. % 11.15/11.30 (* end of lemma zenon_L641_ *) % 11.15/11.30 assert (zenon_L642_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> False). % 11.15/11.30 do 0 intro. intros zenon_H122 zenon_H2c zenon_H80. % 11.15/11.30 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e2) (e0)))). % 11.15/11.30 intro zenon_D_pnotp. % 11.15/11.30 apply zenon_H122. % 11.15/11.30 rewrite <- zenon_D_pnotp. % 11.15/11.30 exact zenon_H2c. % 11.15/11.30 cut (((e0) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H152]. % 11.15/11.30 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 11.15/11.30 congruence. % 11.15/11.30 apply zenon_H21. apply refl_equal. % 11.15/11.30 apply zenon_H152. apply sym_equal. exact zenon_H80. % 11.15/11.30 (* end of lemma zenon_L642_ *) % 11.15/11.30 assert (zenon_L643_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False). % 11.15/11.30 do 0 intro. intros zenon_Hbc zenon_H2c zenon_H122 zenon_H66 zenon_Hdc zenon_Haa zenon_H1a6 zenon_H1a7. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.15/11.30 apply (zenon_L642_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.15/11.30 apply (zenon_L599_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.15/11.30 exact (zenon_Haa zenon_Ha9). % 11.15/11.30 apply (zenon_L189_); trivial. % 11.15/11.30 (* end of lemma zenon_L643_ *) % 11.15/11.30 assert (zenon_L644_ : ((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H264 zenon_H56 zenon_H2d zenon_H2c zenon_Hec zenon_H66 zenon_H38 zenon_Hc4 zenon_H1da. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.30 apply (zenon_L5_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.30 exact (zenon_He6 zenon_H1f). % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.30 apply (zenon_L398_); trivial. % 11.15/11.30 apply (zenon_L239_); trivial. % 11.15/11.30 exact (zenon_H56 zenon_H24). % 11.15/11.30 (* end of lemma zenon_L644_ *) % 11.15/11.30 assert (zenon_L645_ : (((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\(((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))/\(((~((op (e0) (e2)) = (e0)))\/((op (e0) (e0)) = (e2)))/\(((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2)))))))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e1)) = (e2)) -> False). % 11.15/11.30 do 0 intro. intros zenon_H222 zenon_H66 zenon_Hcc zenon_H11c. % 11.15/11.30 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H224. zenon_intro zenon_H223. % 11.15/11.30 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H254. zenon_intro zenon_H253. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_Hc3 ]. % 11.15/11.30 exact (zenon_H118 zenon_H11c). % 11.15/11.30 apply (zenon_L207_); trivial. % 11.15/11.30 (* end of lemma zenon_L645_ *) % 11.15/11.30 assert (zenon_L646_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H1fc zenon_H88 zenon_H2c zenon_He9 zenon_H66 zenon_Hdc zenon_H13b zenon_H11c zenon_Hea zenon_H1cc zenon_H4c zenon_H12a zenon_H81. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.30 apply (zenon_L447_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.30 apply (zenon_L59_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.30 apply (zenon_L599_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.15/11.30 apply (zenon_L336_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.15/11.30 exact (zenon_H1cc zenon_Hca). % 11.15/11.30 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.15/11.30 apply (zenon_L87_); trivial. % 11.15/11.30 apply (zenon_L244_); trivial. % 11.15/11.30 (* end of lemma zenon_L646_ *) % 11.15/11.30 assert (zenon_L647_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (((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) (e1)) = (e2)) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H1fc zenon_H2d zenon_H11f zenon_H109 zenon_H66 zenon_Hdc zenon_Hd3 zenon_H38 zenon_H1f zenon_H1cc zenon_H11c zenon_H1a7 zenon_H81. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.30 apply (zenon_L269_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.30 apply (zenon_L149_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.30 apply (zenon_L599_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.15/11.30 apply (zenon_L9_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.15/11.30 exact (zenon_H1cc zenon_Hca). % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.15/11.30 apply (zenon_L288_); trivial. % 11.15/11.30 apply (zenon_L225_); trivial. % 11.15/11.30 (* end of lemma zenon_L647_ *) % 11.15/11.30 assert (zenon_L648_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (((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) (e1)) = (e2)) -> (~((e0) = (e3))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H200 zenon_H1d zenon_H12a zenon_H4c zenon_H13b zenon_He9 zenon_H2c zenon_H88 zenon_H1fc zenon_H2d zenon_H11f zenon_H109 zenon_H66 zenon_Hdc zenon_Hd3 zenon_H38 zenon_H1f zenon_H1cc zenon_H11c zenon_H81. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.30 apply (zenon_L641_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.30 apply (zenon_L149_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.30 apply (zenon_L646_); trivial. % 11.15/11.30 apply (zenon_L647_); trivial. % 11.15/11.30 (* end of lemma zenon_L648_ *) % 11.15/11.30 assert (zenon_L649_ : (((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 (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False). % 11.15/11.30 do 0 intro. intros zenon_H9e zenon_H103 zenon_H125 zenon_H109 zenon_H163 zenon_H9b zenon_H84 zenon_Ha5 zenon_H6e. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.30 apply (zenon_L84_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.30 apply (zenon_L275_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.30 apply (zenon_L33_); trivial. % 11.15/11.30 apply (zenon_L125_); trivial. % 11.15/11.30 (* end of lemma zenon_L649_ *) % 11.15/11.30 assert (zenon_L650_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H15e zenon_H38 zenon_Hc4 zenon_H2d zenon_H66 zenon_Hf5 zenon_H9e zenon_H103 zenon_H125 zenon_H109 zenon_H163 zenon_H9b zenon_H84 zenon_Ha5. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.30 apply (zenon_L239_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.30 apply (zenon_L213_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.30 apply (zenon_L66_); trivial. % 11.15/11.30 apply (zenon_L649_); trivial. % 11.15/11.30 (* end of lemma zenon_L650_ *) % 11.15/11.30 assert (zenon_L651_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False). % 11.15/11.30 do 0 intro. intros zenon_Hbc zenon_H109 zenon_H103 zenon_Hdc zenon_H66 zenon_H2d zenon_H1a6 zenon_H1a7. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.15/11.30 apply (zenon_L109_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.15/11.30 apply (zenon_L599_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.15/11.30 apply (zenon_L37_); trivial. % 11.15/11.30 apply (zenon_L189_); trivial. % 11.15/11.30 (* end of lemma zenon_L651_ *) % 11.15/11.30 assert (zenon_L652_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.15/11.30 do 0 intro. intros zenon_Hd9 zenon_H3c zenon_H81 zenon_H1cc zenon_Hd3 zenon_H88 zenon_H2c zenon_H13b zenon_H12a zenon_H1d zenon_H200 zenon_H1f zenon_H11c zenon_Ha5 zenon_H84 zenon_H9b zenon_H125 zenon_H9e zenon_Hf5 zenon_H38 zenon_H15e zenon_He9 zenon_H11f zenon_H1fc zenon_Hbc zenon_H109 zenon_H103 zenon_Hdc zenon_H66 zenon_H2d zenon_H1a6. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.30 exact (zenon_H3c zenon_H37). % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.30 apply (zenon_L9_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.30 apply (zenon_L648_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.30 apply (zenon_L56_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.30 apply (zenon_L149_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.30 apply (zenon_L269_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.30 apply (zenon_L59_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.30 apply (zenon_L599_); trivial. % 11.15/11.30 apply (zenon_L650_); trivial. % 11.15/11.30 apply (zenon_L651_); trivial. % 11.15/11.30 (* end of lemma zenon_L652_ *) % 11.15/11.30 assert (zenon_L653_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((e1) = (e2))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H15e zenon_H169 zenon_Hf7 zenon_H199 zenon_H38 zenon_H198 zenon_H11f zenon_H132 zenon_H66 zenon_Hf5 zenon_H119 zenon_H149 zenon_H101 zenon_H11c zenon_H121 zenon_H19f zenon_Ha5. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.30 apply (zenon_L394_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.30 apply (zenon_L482_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.30 apply (zenon_L66_); trivial. % 11.15/11.30 apply (zenon_L400_); trivial. % 11.15/11.30 (* end of lemma zenon_L653_ *) % 11.15/11.30 assert (zenon_L654_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (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 (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.15/11.30 do 0 intro. intros zenon_Hd9 zenon_H3c zenon_H81 zenon_H11c zenon_H1cc zenon_H1f zenon_H38 zenon_Hd3 zenon_Hdc zenon_H66 zenon_H109 zenon_H11f zenon_H2d zenon_H1fc zenon_H88 zenon_H2c zenon_He9 zenon_H13b zenon_H12a zenon_H1d zenon_H200 zenon_H8d zenon_H149. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.30 exact (zenon_H3c zenon_H37). % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.30 apply (zenon_L9_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.30 apply (zenon_L648_); trivial. % 11.15/11.30 apply (zenon_L110_); trivial. % 11.15/11.30 (* end of lemma zenon_L654_ *) % 11.15/11.30 assert (zenon_L655_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e3)) = (e1))) -> False). % 11.15/11.30 do 0 intro. intros zenon_Hd6 zenon_H156 zenon_Hc5 zenon_H22 zenon_H11f zenon_H2d zenon_Hea zenon_H199. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.30 apply (zenon_L310_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.30 apply (zenon_L380_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.30 apply (zenon_L316_); trivial. % 11.15/11.30 exact (zenon_H199 zenon_H6f). % 11.15/11.30 (* end of lemma zenon_L655_ *) % 11.15/11.30 assert (zenon_L656_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.15/11.30 do 0 intro. intros zenon_H1fc zenon_He9 zenon_Hdc zenon_H15e zenon_H199 zenon_Hea zenon_H2d zenon_H22 zenon_Hc5 zenon_Hd6 zenon_H11f zenon_H132 zenon_H66 zenon_Hf5 zenon_H108. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.30 apply (zenon_L269_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.30 apply (zenon_L59_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.30 apply (zenon_L599_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.30 apply (zenon_L655_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.30 apply (zenon_L482_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.30 apply (zenon_L66_); trivial. % 11.15/11.30 apply (zenon_L215_); trivial. % 11.15/11.30 (* end of lemma zenon_L656_ *) % 11.15/11.30 assert (zenon_L657_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H14b zenon_H3c zenon_H38 zenon_H1a6 zenon_H2d zenon_H66 zenon_H103 zenon_H109 zenon_Hbc zenon_H1fc zenon_He9 zenon_H15e zenon_H199 zenon_H22 zenon_Hc5 zenon_Hd6 zenon_H11f zenon_H132 zenon_Hf5 zenon_H11c zenon_H1f zenon_H200 zenon_H108 zenon_H149. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.30 exact (zenon_H3c zenon_H37). % 11.15/11.30 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.30 apply (zenon_L296_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.30 apply (zenon_L56_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.30 apply (zenon_L149_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.30 apply (zenon_L656_); trivial. % 11.15/11.30 apply (zenon_L651_); trivial. % 11.15/11.30 apply (zenon_L184_); trivial. % 11.15/11.30 (* end of lemma zenon_L657_ *) % 11.15/11.30 assert (zenon_L658_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e3)) = (e1))) -> False). % 11.15/11.30 do 0 intro. intros zenon_Hd6 zenon_H156 zenon_Hc5 zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H199. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.30 apply (zenon_L310_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.30 apply (zenon_L272_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.30 apply (zenon_L207_); trivial. % 11.15/11.30 exact (zenon_H199 zenon_H6f). % 11.15/11.30 (* end of lemma zenon_L658_ *) % 11.15/11.30 assert (zenon_L659_ : (((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 (e2) (e2)) = (e1)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H1b9 zenon_H41 zenon_H175 zenon_He9 zenon_H66 zenon_H119 zenon_Ha5 zenon_H186 zenon_H11c zenon_H121 zenon_H19f zenon_H1ca. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.15/11.30 apply (zenon_L318_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.15/11.30 apply (zenon_L273_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.15/11.30 apply (zenon_L147_); trivial. % 11.15/11.30 apply (zenon_L429_); trivial. % 11.15/11.30 (* end of lemma zenon_L659_ *) % 11.15/11.30 assert (zenon_L660_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.15/11.30 do 0 intro. intros zenon_Hfd zenon_H41 zenon_H2c zenon_H10e zenon_H1a7 zenon_H66 zenon_H2d zenon_H119 zenon_Ha5 zenon_H11c zenon_H121 zenon_H19f zenon_H186. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ]. % 11.15/11.30 apply (zenon_L153_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ]. % 11.15/11.30 apply (zenon_L537_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ]. % 11.15/11.30 apply (zenon_L37_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ]. % 11.15/11.30 apply (zenon_L406_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ]. % 11.15/11.30 apply (zenon_L277_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ]. % 11.15/11.30 exact (zenon_H19f zenon_H114). % 11.15/11.30 apply (zenon_L417_); trivial. % 11.15/11.30 (* end of lemma zenon_L660_ *) % 11.15/11.30 assert (zenon_L661_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e3)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.15/11.30 do 0 intro. intros zenon_H200 zenon_H1d zenon_H109 zenon_H89 zenon_Hfd zenon_H41 zenon_H2c zenon_H10e zenon_H66 zenon_H2d zenon_H119 zenon_Ha5 zenon_H11c zenon_H121 zenon_H19f zenon_H186. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.30 apply (zenon_L641_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.30 apply (zenon_L149_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.30 apply (zenon_L336_); trivial. % 11.15/11.30 apply (zenon_L660_); trivial. % 11.15/11.30 (* end of lemma zenon_L661_ *) % 11.15/11.30 assert (zenon_L662_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.15/11.30 do 0 intro. intros zenon_H200 zenon_H1f zenon_H109 zenon_H81 zenon_H12a zenon_H4c zenon_H1cc zenon_H13b zenon_Hdc zenon_He9 zenon_H88 zenon_H1fc zenon_Hfd zenon_H41 zenon_H2c zenon_H10e zenon_H66 zenon_H2d zenon_H119 zenon_Ha5 zenon_H11c zenon_H121 zenon_H19f zenon_H186. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.30 apply (zenon_L56_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.30 apply (zenon_L149_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.30 apply (zenon_L646_); trivial. % 11.15/11.30 apply (zenon_L660_); trivial. % 11.15/11.30 (* end of lemma zenon_L662_ *) % 11.15/11.30 assert (zenon_L663_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> False). % 11.15/11.30 do 0 intro. intros zenon_H155 zenon_H2c zenon_H150. % 11.15/11.30 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e3) (e0)))). % 11.15/11.30 intro zenon_D_pnotp. % 11.15/11.30 apply zenon_H155. % 11.15/11.30 rewrite <- zenon_D_pnotp. % 11.15/11.30 exact zenon_H2c. % 11.15/11.30 cut (((e0) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H22f]. % 11.15/11.30 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 11.15/11.30 congruence. % 11.15/11.30 apply zenon_H21. apply refl_equal. % 11.15/11.30 apply zenon_H22f. apply sym_equal. exact zenon_H150. % 11.15/11.30 (* end of lemma zenon_L663_ *) % 11.15/11.30 assert (zenon_L664_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> False). % 11.15/11.30 do 0 intro. intros zenon_H9e zenon_H149 zenon_Hc4 zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_H186 zenon_Hf0. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.30 apply (zenon_L110_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.30 apply (zenon_L322_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.30 apply (zenon_L33_); trivial. % 11.15/11.30 apply (zenon_L417_); trivial. % 11.15/11.30 (* end of lemma zenon_L664_ *) % 11.15/11.30 assert (zenon_L665_ : (((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)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H166 zenon_H2c zenon_H155 zenon_Ha5 zenon_H109 zenon_H125 zenon_H103 zenon_Hf5 zenon_H66 zenon_H2d zenon_H38 zenon_H15e zenon_H186 zenon_H84 zenon_H9b zenon_H162 zenon_H11c zenon_Hc4 zenon_H149 zenon_H9e zenon_H1a7 zenon_H70. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.30 apply (zenon_L663_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.30 apply (zenon_L650_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.30 apply (zenon_L664_); trivial. % 11.15/11.30 apply (zenon_L228_); trivial. % 11.15/11.30 (* end of lemma zenon_L665_ *) % 11.15/11.30 assert (zenon_L666_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e3)) = (e1))) -> False). % 11.15/11.30 do 0 intro. intros zenon_Hd6 zenon_H2d zenon_He5 zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H199. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.30 apply (zenon_L56_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.30 apply (zenon_L272_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.30 apply (zenon_L207_); trivial. % 11.15/11.30 exact (zenon_H199 zenon_H6f). % 11.15/11.30 (* end of lemma zenon_L666_ *) % 11.15/11.30 assert (zenon_L667_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e3)) = (e1))) -> False). % 11.15/11.30 do 0 intro. intros zenon_Hd6 zenon_H1e zenon_H1d zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H199. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.30 apply (zenon_L1_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.30 apply (zenon_L272_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.30 apply (zenon_L207_); trivial. % 11.15/11.30 exact (zenon_H199 zenon_H6f). % 11.15/11.30 (* end of lemma zenon_L667_ *) % 11.15/11.30 assert (zenon_L668_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.15/11.30 do 0 intro. intros zenon_Hd9 zenon_H3c zenon_H38 zenon_H1f zenon_H81 zenon_H80 zenon_H8d zenon_H149. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.30 exact (zenon_H3c zenon_H37). % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.30 apply (zenon_L9_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.30 apply (zenon_L26_); trivial. % 11.15/11.30 apply (zenon_L110_); trivial. % 11.15/11.30 (* end of lemma zenon_L668_ *) % 11.15/11.30 assert (zenon_L669_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e0)) = (e3))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H265 zenon_H150 zenon_H155 zenon_H16b zenon_H141 zenon_Hf7 zenon_H66 zenon_H199 zenon_H32 zenon_H198 zenon_H41 zenon_H9b zenon_H3c. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H2c | zenon_intro zenon_H266 ]. % 11.15/11.30 apply (zenon_L663_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H1e | zenon_intro zenon_H267 ]. % 11.15/11.30 apply (zenon_L178_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H175 | zenon_intro zenon_H37 ]. % 11.15/11.30 apply (zenon_L318_); trivial. % 11.15/11.30 exact (zenon_H3c zenon_H37). % 11.15/11.30 (* end of lemma zenon_L669_ *) % 11.15/11.30 assert (zenon_L670_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((e1) = (e2))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H14b zenon_H3c zenon_H81 zenon_He3 zenon_H15e zenon_H169 zenon_Hf7 zenon_H199 zenon_H38 zenon_H198 zenon_H11f zenon_H132 zenon_H66 zenon_Hf5 zenon_H119 zenon_H149 zenon_H11c zenon_H121 zenon_H19f zenon_Ha5. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.30 exact (zenon_H3c zenon_H37). % 11.15/11.30 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.30 apply (zenon_L296_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.30 apply (zenon_L183_); trivial. % 11.15/11.30 apply (zenon_L653_); trivial. % 11.15/11.30 (* end of lemma zenon_L670_ *) % 11.15/11.30 assert (zenon_L671_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H180 zenon_H1ca zenon_H19f zenon_H121 zenon_H119 zenon_H66 zenon_He9 zenon_H41 zenon_H1b9 zenon_H11c zenon_H22 zenon_H109 zenon_He3 zenon_H186 zenon_Ha5. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.30 apply (zenon_L659_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.30 apply (zenon_L253_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.30 apply (zenon_L206_); trivial. % 11.15/11.30 apply (zenon_L406_); trivial. % 11.15/11.30 (* end of lemma zenon_L671_ *) % 11.15/11.30 assert (zenon_L672_ : ((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.15/11.30 do 0 intro. intros zenon_H238 zenon_H66 zenon_H38 zenon_H114. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ]. % 11.15/11.30 exact (zenon_H19f zenon_H114). % 11.15/11.30 apply (zenon_L20_); trivial. % 11.15/11.30 (* end of lemma zenon_L672_ *) % 11.15/11.30 assert (zenon_L673_ : ((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3))) -> ((op (e1) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.15/11.30 do 0 intro. intros zenon_H1d7 zenon_H11c zenon_H149 zenon_H6f. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ]. % 11.15/11.30 exact (zenon_H199 zenon_H6f). % 11.15/11.30 apply (zenon_L285_); trivial. % 11.15/11.30 (* end of lemma zenon_L673_ *) % 11.15/11.30 assert (zenon_L674_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((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)) = (e0)) -> False). % 11.15/11.30 do 0 intro. intros zenon_H200 zenon_H1f zenon_Ha5 zenon_H19f zenon_H121 zenon_H11c zenon_H109 zenon_H119 zenon_Hf5 zenon_H66 zenon_H132 zenon_H11f zenon_Hd6 zenon_Hc5 zenon_H22 zenon_H2d zenon_H199 zenon_H15e zenon_H1a9 zenon_H31. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.30 apply (zenon_L56_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.30 apply (zenon_L149_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.30 apply (zenon_L655_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.30 apply (zenon_L482_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.30 apply (zenon_L66_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ]. % 11.15/11.30 apply (zenon_L75_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ]. % 11.15/11.30 apply (zenon_L277_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ]. % 11.15/11.30 exact (zenon_H19f zenon_H114). % 11.15/11.30 apply (zenon_L125_); trivial. % 11.15/11.30 apply (zenon_L328_); trivial. % 11.15/11.30 (* end of lemma zenon_L674_ *) % 11.15/11.30 assert (zenon_L675_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> False). % 11.15/11.30 do 0 intro. intros zenon_H162 zenon_Hca zenon_H133. % 11.15/11.30 cut (((op (e1) (e1)) = (e3)) = ((op (e1) (e1)) = (op (e3) (e1)))). % 11.15/11.30 intro zenon_D_pnotp. % 11.15/11.30 apply zenon_H162. % 11.15/11.30 rewrite <- zenon_D_pnotp. % 11.15/11.30 exact zenon_Hca. % 11.15/11.30 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H134]. % 11.15/11.30 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 11.15/11.30 congruence. % 11.15/11.30 apply zenon_Ha4. apply refl_equal. % 11.15/11.30 apply zenon_H134. apply sym_equal. exact zenon_H133. % 11.15/11.30 (* end of lemma zenon_L675_ *) % 11.15/11.30 assert (zenon_L676_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H1c4 zenon_H14f zenon_Hca zenon_H162 zenon_Hdc zenon_H84 zenon_H6e zenon_H38. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ]. % 11.15/11.30 exact (zenon_H14f zenon_Hc4). % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ]. % 11.15/11.30 apply (zenon_L675_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ]. % 11.15/11.30 apply (zenon_L131_); trivial. % 11.15/11.30 apply (zenon_L262_); trivial. % 11.15/11.30 (* end of lemma zenon_L676_ *) % 11.15/11.30 assert (zenon_L677_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.30 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_Hca zenon_H38 zenon_H42 zenon_H1dd zenon_H6e zenon_H70. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.30 exact (zenon_He6 zenon_H1f). % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.30 apply (zenon_L514_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.30 apply (zenon_L280_); trivial. % 11.15/11.30 apply (zenon_L22_); trivial. % 11.15/11.30 (* end of lemma zenon_L677_ *) % 11.15/11.30 assert (zenon_L678_ : (((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 (e1) (e1)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.15/11.30 do 0 intro. intros zenon_Hd9 zenon_H38 zenon_H1f7 zenon_Hca zenon_H1e zenon_H46 zenon_H14f. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.30 apply (zenon_L8_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.30 apply (zenon_L321_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.30 apply (zenon_L16_); trivial. % 11.15/11.30 exact (zenon_H14f zenon_Hc4). % 11.15/11.30 (* end of lemma zenon_L678_ *) % 11.15/11.30 assert (zenon_L679_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False). % 11.15/11.30 do 0 intro. intros zenon_H180 zenon_Ha5 zenon_H14f zenon_H1f7 zenon_Hd9 zenon_H109 zenon_H14b zenon_H38 zenon_H1e zenon_H22 zenon_Hca zenon_H81 zenon_He3 zenon_H149. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.30 apply (zenon_L151_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.30 apply (zenon_L678_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.30 apply (zenon_L206_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.30 apply (zenon_L8_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.30 apply (zenon_L57_); trivial. % 11.15/11.30 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.30 apply (zenon_L183_); trivial. % 11.15/11.30 apply (zenon_L184_); trivial. % 11.15/11.30 (* end of lemma zenon_L679_ *) % 11.15/11.30 assert (zenon_L680_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.15/11.31 do 0 intro. intros zenon_H244 zenon_H81 zenon_H31 zenon_Hca zenon_H121 zenon_H65 zenon_Hf7 zenon_H6e zenon_H38. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H101 | zenon_intro zenon_H245 ]. % 11.15/11.31 apply (zenon_L73_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H246 ]. % 11.15/11.31 apply (zenon_L338_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ]. % 11.15/11.31 apply (zenon_L67_); trivial. % 11.15/11.31 apply (zenon_L262_); trivial. % 11.15/11.31 (* end of lemma zenon_L680_ *) % 11.15/11.31 assert (zenon_L681_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.15/11.31 do 0 intro. intros zenon_Hbc zenon_H104 zenon_He5 zenon_H38 zenon_H6e zenon_Hf7 zenon_H121 zenon_Hca zenon_H81 zenon_H244 zenon_Hdd zenon_H9b zenon_Hdc zenon_Hf8 zenon_Haa zenon_Hb9 zenon_H31. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.15/11.31 apply (zenon_L154_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ]. % 11.15/11.31 exact (zenon_Haa zenon_Ha9). % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ]. % 11.15/11.31 apply (zenon_L599_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ]. % 11.15/11.31 apply (zenon_L145_); trivial. % 11.15/11.31 apply (zenon_L680_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.15/11.31 exact (zenon_Haa zenon_Ha9). % 11.15/11.31 apply (zenon_L41_); trivial. % 11.15/11.31 (* end of lemma zenon_L681_ *) % 11.15/11.31 assert (zenon_L682_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.15/11.31 do 0 intro. intros zenon_H14b zenon_H1e zenon_H22 zenon_Hb9 zenon_Haa zenon_Hf8 zenon_H9b zenon_Hdd zenon_H244 zenon_Hca zenon_H121 zenon_Hf7 zenon_H6e zenon_H38 zenon_He5 zenon_H104 zenon_Hbc zenon_H31 zenon_H81. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.31 apply (zenon_L8_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.31 apply (zenon_L57_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.31 apply (zenon_L681_); trivial. % 11.15/11.31 apply (zenon_L73_); trivial. % 11.15/11.31 (* end of lemma zenon_L682_ *) % 11.15/11.31 assert (zenon_L683_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.15/11.31 do 0 intro. intros zenon_H15a zenon_Hf0 zenon_H158 zenon_H169 zenon_H6e zenon_H95 zenon_H138 zenon_H14f. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ]. % 11.15/11.31 apply (zenon_L121_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ]. % 11.15/11.31 apply (zenon_L376_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ]. % 11.15/11.31 apply (zenon_L93_); trivial. % 11.15/11.31 exact (zenon_H14f zenon_Hc4). % 11.15/11.31 (* end of lemma zenon_L683_ *) % 11.15/11.31 assert (zenon_L684_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e2) (e1)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False). % 11.15/11.31 do 0 intro. intros zenon_Hf8 zenon_Haa zenon_Ha2 zenon_Hdc zenon_H9c zenon_Hf5 zenon_Hf7 zenon_H74. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ]. % 11.15/11.31 exact (zenon_Haa zenon_Ha9). % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ]. % 11.15/11.31 apply (zenon_L599_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ]. % 11.15/11.31 apply (zenon_L163_); trivial. % 11.15/11.31 apply (zenon_L67_); trivial. % 11.15/11.31 (* end of lemma zenon_L684_ *) % 11.15/11.31 assert (zenon_L685_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False). % 11.15/11.31 do 0 intro. intros zenon_H7d zenon_H38 zenon_H123 zenon_Hca zenon_Ha1 zenon_Hdd zenon_H9e zenon_H175 zenon_H155 zenon_H14f zenon_H138 zenon_H169 zenon_H158 zenon_Hf0 zenon_H15a zenon_Hf7 zenon_Hf5 zenon_Hdc zenon_Ha2 zenon_Haa zenon_Hf8 zenon_Ha5 zenon_H6e. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 11.15/11.31 apply (zenon_L350_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 11.15/11.31 apply (zenon_L323_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 11.15/11.31 apply (zenon_L51_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.31 apply (zenon_L414_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.31 apply (zenon_L683_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.31 apply (zenon_L684_); trivial. % 11.15/11.31 apply (zenon_L125_); trivial. % 11.15/11.31 (* end of lemma zenon_L685_ *) % 11.15/11.31 assert (zenon_L686_ : (((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)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False). % 11.15/11.31 do 0 intro. intros zenon_He1 zenon_H84 zenon_Hc3 zenon_H1dd zenon_H41 zenon_H7d zenon_H38 zenon_H123 zenon_Hca zenon_Ha1 zenon_Hdd zenon_H9e zenon_H175 zenon_H155 zenon_H14f zenon_H138 zenon_H169 zenon_H158 zenon_Hf0 zenon_H15a zenon_Hf7 zenon_Hf5 zenon_Ha2 zenon_Haa zenon_Hf8 zenon_Ha5 zenon_H6e. % 11.15/11.31 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 11.15/11.31 apply (zenon_L157_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ]. % 11.15/11.31 apply (zenon_L280_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ]. % 11.15/11.31 apply (zenon_L318_); trivial. % 11.15/11.31 apply (zenon_L685_); trivial. % 11.15/11.31 (* end of lemma zenon_L686_ *) % 11.15/11.31 assert (zenon_L687_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False). % 11.15/11.31 do 0 intro. intros zenon_H9e zenon_H175 zenon_H155 zenon_H109 zenon_H14f zenon_H158 zenon_H169 zenon_H138 zenon_H163 zenon_H15a zenon_Ha5 zenon_H6e. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.31 apply (zenon_L414_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.31 apply (zenon_L275_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.31 apply (zenon_L610_); trivial. % 11.15/11.31 apply (zenon_L125_); trivial. % 11.15/11.31 (* end of lemma zenon_L687_ *) % 11.15/11.31 assert (zenon_L688_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((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)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (((op (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 (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.15/11.31 do 0 intro. intros zenon_H1da zenon_H88 zenon_H109 zenon_H31 zenon_H7d zenon_Ha1 zenon_H38 zenon_H121 zenon_Hca zenon_H81 zenon_H244 zenon_Hf8 zenon_Haa zenon_Hec zenon_Hdd zenon_Hf7 zenon_H11f zenon_Ha5 zenon_H1fc zenon_H12c zenon_H56 zenon_H70 zenon_Hfd zenon_H24d zenon_H2d zenon_He1 zenon_H84 zenon_H1dd zenon_H41 zenon_Hf5 zenon_H22 zenon_He6 zenon_Hd6 zenon_H9e zenon_H155 zenon_H14f zenon_H158 zenon_H138 zenon_H15a zenon_H180 zenon_H6e zenon_H169. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.31 apply (zenon_L465_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.31 exact (zenon_He6 zenon_H1f). % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.31 apply (zenon_L88_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.31 exact (zenon_H56 zenon_H24). % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.31 exact (zenon_He6 zenon_H1f). % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.31 apply (zenon_L380_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ]. % 11.15/11.31 apply (zenon_L627_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ]. % 11.15/11.31 apply (zenon_L316_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ]. % 11.15/11.31 exact (zenon_Haa zenon_Ha9). % 11.15/11.31 apply (zenon_L686_); trivial. % 11.15/11.31 apply (zenon_L22_); trivial. % 11.15/11.31 apply (zenon_L687_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.31 apply (zenon_L81_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 11.15/11.31 apply (zenon_L350_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 11.15/11.31 apply (zenon_L323_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 11.15/11.31 apply (zenon_L680_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ]. % 11.15/11.31 exact (zenon_Haa zenon_Ha9). % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ]. % 11.15/11.31 apply (zenon_L398_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ]. % 11.15/11.31 apply (zenon_L145_); trivial. % 11.15/11.31 apply (zenon_L67_); trivial. % 11.15/11.31 apply (zenon_L75_); trivial. % 11.15/11.31 apply (zenon_L376_); trivial. % 11.15/11.31 (* end of lemma zenon_L688_ *) % 11.15/11.31 assert (zenon_L689_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.31 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_Hca zenon_H38 zenon_H2d zenon_Hea zenon_H6e zenon_H70. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.31 exact (zenon_He6 zenon_H1f). % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.31 apply (zenon_L514_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.31 apply (zenon_L316_); trivial. % 11.15/11.31 apply (zenon_L22_); trivial. % 11.15/11.31 (* end of lemma zenon_L689_ *) % 11.15/11.31 assert (zenon_L690_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.15/11.31 do 0 intro. intros zenon_H200 zenon_H104 zenon_H80 zenon_H56 zenon_H70 zenon_H6e zenon_H2d zenon_H38 zenon_Hca zenon_He6 zenon_Hd6 zenon_H1a9 zenon_H31. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.31 apply (zenon_L154_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.31 exact (zenon_H56 zenon_H24). % 11.15/11.31 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.31 apply (zenon_L689_); trivial. % 11.15/11.31 apply (zenon_L328_); trivial. % 11.15/11.31 (* end of lemma zenon_L690_ *) % 11.15/11.31 assert (zenon_L691_ : (((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) (e1)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.15/11.31 do 0 intro. intros zenon_H200 zenon_Hc5 zenon_H150 zenon_H56 zenon_H70 zenon_H6e zenon_H2d zenon_H38 zenon_Hca zenon_He6 zenon_Hd6 zenon_H1a9 zenon_H31. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.31 apply (zenon_L127_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.31 exact (zenon_H56 zenon_H24). % 11.15/11.31 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.31 apply (zenon_L689_); trivial. % 11.15/11.31 apply (zenon_L328_); trivial. % 11.15/11.31 (* end of lemma zenon_L691_ *) % 11.15/11.31 assert (zenon_L692_ : ((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.15/11.31 do 0 intro. intros zenon_H268 zenon_H6e zenon_H2d zenon_Hc4. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ]. % 11.15/11.31 exact (zenon_H14f zenon_Hc4). % 11.15/11.31 apply (zenon_L165_); trivial. % 11.15/11.31 (* end of lemma zenon_L692_ *) % 11.15/11.31 assert (zenon_L693_ : (((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) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False). % 11.15/11.31 do 0 intro. intros zenon_H9e zenon_H103 zenon_H125 zenon_H109 zenon_H14f zenon_H158 zenon_H169 zenon_H138 zenon_H163 zenon_H15a zenon_Ha5 zenon_H6e. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.31 apply (zenon_L84_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.31 apply (zenon_L275_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.31 apply (zenon_L610_); trivial. % 11.15/11.31 apply (zenon_L125_); trivial. % 11.15/11.31 (* end of lemma zenon_L693_ *) % 11.15/11.31 assert (zenon_L694_ : (((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) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.15/11.31 do 0 intro. intros zenon_H166 zenon_Hc5 zenon_He5 zenon_H169 zenon_H109 zenon_H6e zenon_Ha5 zenon_H15a zenon_H1e zenon_H155 zenon_H158 zenon_H14f zenon_H138 zenon_H125 zenon_H103 zenon_H9e zenon_H165. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.31 apply (zenon_L127_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.31 apply (zenon_L693_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.31 apply (zenon_L84_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.31 apply (zenon_L605_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.31 apply (zenon_L606_); trivial. % 11.15/11.31 apply (zenon_L125_); trivial. % 11.15/11.31 exact (zenon_H165 zenon_H68). % 11.15/11.31 (* end of lemma zenon_L694_ *) % 11.15/11.31 assert (zenon_L695_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False). % 11.15/11.31 do 0 intro. intros zenon_H20c zenon_H1a7 zenon_H22e zenon_He6 zenon_H104 zenon_H103 zenon_Hca zenon_H1f7. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ]. % 11.15/11.31 apply (zenon_L392_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ]. % 11.15/11.31 exact (zenon_He6 zenon_H1f). % 11.15/11.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ]. % 11.15/11.31 apply (zenon_L74_); trivial. % 11.15/11.31 apply (zenon_L321_); trivial. % 11.15/11.31 (* end of lemma zenon_L695_ *) % 11.15/11.31 assert (zenon_L696_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> False). % 11.15/11.31 do 0 intro. intros zenon_H269 zenon_H66 zenon_Hdc zenon_H11f zenon_H12d zenon_H103 zenon_H12a zenon_Ha1 zenon_Hca. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H26a ]. % 11.15/11.31 apply (zenon_L599_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H12e | zenon_intro zenon_H26b ]. % 11.15/11.31 apply (zenon_L89_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H130 | zenon_intro zenon_H5d ]. % 11.15/11.31 apply (zenon_L274_); trivial. % 11.15/11.31 apply (zenon_L323_); trivial. % 11.15/11.31 (* end of lemma zenon_L696_ *) % 11.15/11.31 assert (zenon_L697_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> False). % 11.15/11.31 do 0 intro. intros zenon_He1 zenon_H24d zenon_H31 zenon_Hdd zenon_H9c zenon_H84 zenon_H269 zenon_H66 zenon_H11f zenon_H12d zenon_H103 zenon_H12a zenon_Ha1 zenon_Hca. % 11.15/11.31 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 11.15/11.31 apply (zenon_L627_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ]. % 11.15/11.31 apply (zenon_L98_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ]. % 11.15/11.31 apply (zenon_L33_); trivial. % 11.15/11.31 apply (zenon_L696_); trivial. % 11.15/11.31 (* end of lemma zenon_L697_ *) % 11.15/11.31 assert (zenon_L698_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False). % 11.15/11.31 do 0 intro. intros zenon_H9e zenon_H125 zenon_H109 zenon_H163 zenon_Hca zenon_Ha1 zenon_H12a zenon_H103 zenon_H12d zenon_H11f zenon_H66 zenon_H269 zenon_H84 zenon_Hdd zenon_H31 zenon_H24d zenon_He1 zenon_Ha5 zenon_H6e. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.31 apply (zenon_L84_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.31 apply (zenon_L275_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.31 apply (zenon_L697_); trivial. % 11.15/11.31 apply (zenon_L125_); trivial. % 11.15/11.31 (* end of lemma zenon_L698_ *) % 11.15/11.31 assert (zenon_L699_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (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) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))) -> ((op (e2) (e0)) = (e2)) -> ((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0))) -> False). % 11.15/11.31 do 0 intro. intros zenon_H26c zenon_H1f2 zenon_H173 zenon_H1d4 zenon_H75 zenon_H24d zenon_Hdd zenon_H84 zenon_H269 zenon_Ha1 zenon_H12a zenon_He1 zenon_H12d zenon_Hec zenon_H1a9 zenon_H16f zenon_H1da zenon_H200 zenon_H22e zenon_H104 zenon_H1f7 zenon_H20c zenon_H38 zenon_Hca zenon_H2d zenon_H70 zenon_Hd6 zenon_H56 zenon_Hc5 zenon_H9e zenon_Ha5 zenon_H138 zenon_H169 zenon_H6e zenon_H158 zenon_H15a zenon_H109 zenon_H125 zenon_H155 zenon_H166 zenon_H1dd zenon_H69 zenon_H219 zenon_H26d zenon_H268 zenon_H103 zenon_H264. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ]. % 11.15/11.31 exact (zenon_H14e zenon_H103). % 11.15/11.31 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.31 exact (zenon_H26d zenon_H2c). % 11.15/11.31 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.31 apply (zenon_L694_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.31 exact (zenon_H56 zenon_H24). % 11.15/11.31 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.31 apply (zenon_L689_); trivial. % 11.15/11.31 apply (zenon_L695_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.31 apply (zenon_L269_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.31 apply (zenon_L677_); trivial. % 11.15/11.31 apply (zenon_L237_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.31 apply (zenon_L694_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.31 exact (zenon_H56 zenon_H24). % 11.15/11.31 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.31 apply (zenon_L481_); trivial. % 11.15/11.31 apply (zenon_L695_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.31 exact (zenon_He6 zenon_H1f). % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.31 apply (zenon_L270_); trivial. % 11.15/11.31 apply (zenon_L376_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.31 exact (zenon_H26d zenon_H2c). % 11.15/11.31 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.31 apply (zenon_L694_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ]. % 11.15/11.31 apply (zenon_L270_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ]. % 11.15/11.31 apply (zenon_L89_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.31 apply (zenon_L127_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.31 apply (zenon_L698_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.31 apply (zenon_L84_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.31 apply (zenon_L605_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.31 apply (zenon_L697_); trivial. % 11.15/11.31 apply (zenon_L125_); trivial. % 11.15/11.31 exact (zenon_H165 zenon_H68). % 11.15/11.31 apply (zenon_L377_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.31 exact (zenon_He6 zenon_H1f). % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.31 apply (zenon_L270_); trivial. % 11.15/11.31 apply (zenon_L376_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.31 apply (zenon_L677_); trivial. % 11.15/11.31 apply (zenon_L237_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.31 apply (zenon_L60_); trivial. % 11.15/11.31 apply (zenon_L691_); trivial. % 11.15/11.31 exact (zenon_H165 zenon_H68). % 11.15/11.31 exact (zenon_H56 zenon_H24). % 11.15/11.31 apply (zenon_L692_); trivial. % 11.15/11.31 (* end of lemma zenon_L699_ *) % 11.15/11.31 assert (zenon_L700_ : ((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e1)) -> False). % 11.15/11.31 do 0 intro. intros zenon_H264 zenon_Hca zenon_H81 zenon_H1f. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.31 exact (zenon_He6 zenon_H1f). % 11.15/11.31 apply (zenon_L44_); trivial. % 11.15/11.31 (* end of lemma zenon_L700_ *) % 11.15/11.31 assert (zenon_L701_ : ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e1) (e0)) = (e1)))\/((op (e1) (e1)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> False). % 11.15/11.31 do 0 intro. intros zenon_H26e zenon_H264 zenon_H1da zenon_H6e zenon_H169 zenon_H81 zenon_H1f7 zenon_Hca zenon_H38 zenon_Hd9 zenon_H2c zenon_H2d zenon_H268 zenon_H26c. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.31 apply (zenon_L5_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.31 exact (zenon_He6 zenon_H1f). % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.31 apply (zenon_L468_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.31 apply (zenon_L321_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.31 apply (zenon_L350_); trivial. % 11.15/11.31 exact (zenon_H14f zenon_Hc4). % 11.15/11.31 apply (zenon_L376_); trivial. % 11.15/11.31 exact (zenon_H165 zenon_H68). % 11.15/11.31 exact (zenon_H56 zenon_H24). % 11.15/11.31 apply (zenon_L692_); trivial. % 11.15/11.31 apply (zenon_L700_); trivial. % 11.15/11.31 (* end of lemma zenon_L701_ *) % 11.15/11.31 assert (zenon_L702_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.31 do 0 intro. intros zenon_Hd6 zenon_H1e zenon_H1d zenon_Hca zenon_H38 zenon_Hbd zenon_H6e zenon_H70. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.31 apply (zenon_L1_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.31 apply (zenon_L514_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.31 exact (zenon_Hbd zenon_Hc3). % 11.15/11.31 apply (zenon_L22_); trivial. % 11.15/11.31 (* end of lemma zenon_L702_ *) % 11.15/11.31 assert (zenon_L703_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False). % 11.15/11.31 do 0 intro. intros zenon_H19c zenon_Hea zenon_Hf0. % 11.15/11.31 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (e2)) = (op (e3) (e2)))). % 11.15/11.31 intro zenon_D_pnotp. % 11.15/11.31 apply zenon_H19c. % 11.15/11.31 rewrite <- zenon_D_pnotp. % 11.15/11.31 exact zenon_Hea. % 11.15/11.31 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf6]. % 11.15/11.31 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H19d]. % 11.15/11.31 congruence. % 11.15/11.31 apply zenon_H19d. apply refl_equal. % 11.15/11.31 apply zenon_Hf6. apply sym_equal. exact zenon_Hf0. % 11.15/11.31 (* end of lemma zenon_L703_ *) % 11.15/11.31 assert (zenon_L704_ : (((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) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.15/11.31 do 0 intro. intros zenon_H1f4 zenon_Hea zenon_H19c zenon_H1ca zenon_H6e zenon_H9b zenon_H84 zenon_H176. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ]. % 11.15/11.31 apply (zenon_L703_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ]. % 11.15/11.31 apply (zenon_L369_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ]. % 11.15/11.31 apply (zenon_L33_); trivial. % 11.15/11.31 exact (zenon_H176 zenon_H153). % 11.15/11.31 (* end of lemma zenon_L704_ *) % 11.15/11.31 assert (zenon_L705_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.31 do 0 intro. intros zenon_Hd6 zenon_H2d zenon_He5 zenon_Hca zenon_H38 zenon_Hbd zenon_H6e zenon_H70. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.31 apply (zenon_L56_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.31 apply (zenon_L514_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.31 exact (zenon_Hbd zenon_Hc3). % 11.15/11.31 apply (zenon_L22_); trivial. % 11.15/11.31 (* end of lemma zenon_L705_ *) % 11.15/11.31 assert (zenon_L706_ : (((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 (e2) (e2)) = (e2))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False). % 11.15/11.31 do 0 intro. intros zenon_Hf8 zenon_H80 zenon_Hec zenon_H42 zenon_Hf9 zenon_Hdc zenon_Hdd. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ]. % 11.15/11.31 apply (zenon_L60_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ]. % 11.15/11.31 apply (zenon_L98_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ]. % 11.15/11.31 exact (zenon_Hf9 zenon_Hfc). % 11.15/11.31 apply (zenon_L51_); trivial. % 11.15/11.31 (* end of lemma zenon_L706_ *) % 11.15/11.31 assert (zenon_L707_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (~((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 (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.15/11.31 do 0 intro. intros zenon_H225 zenon_Hdd zenon_Hf9 zenon_H42 zenon_Hec zenon_H80 zenon_Hf8 zenon_Hca zenon_He9 zenon_H74 zenon_Hf7 zenon_H176. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ]. % 11.15/11.31 apply (zenon_L706_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ]. % 11.15/11.31 apply (zenon_L303_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ]. % 11.15/11.31 apply (zenon_L67_); trivial. % 11.15/11.31 exact (zenon_H176 zenon_H153). % 11.15/11.31 (* end of lemma zenon_L707_ *) % 11.15/11.31 assert (zenon_L708_ : (((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 (e3) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (~((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 (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.15/11.31 do 0 intro. intros zenon_H235 zenon_H1a7 zenon_H1a6 zenon_H75 zenon_H6e zenon_H108 zenon_Hb9 zenon_H225 zenon_Hdd zenon_Hf9 zenon_H42 zenon_Hec zenon_H80 zenon_Hf8 zenon_Hca zenon_He9 zenon_Hf7 zenon_H176. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_Hba | zenon_intro zenon_H236 ]. % 11.15/11.31 apply (zenon_L189_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H18e | zenon_intro zenon_H237 ]. % 11.15/11.31 apply (zenon_L377_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H114 | zenon_intro zenon_H74 ]. % 11.15/11.31 apply (zenon_L227_); trivial. % 11.15/11.31 apply (zenon_L707_); trivial. % 11.15/11.31 (* end of lemma zenon_L708_ *) % 11.15/11.31 assert (zenon_L709_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (~((e1) = (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 (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (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 (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.31 do 0 intro. intros zenon_H219 zenon_Hbd zenon_H38 zenon_H1d zenon_Hd6 zenon_H2d zenon_Hca zenon_H121 zenon_H1a9 zenon_H70 zenon_H235 zenon_H1a6 zenon_H75 zenon_Hb9 zenon_H225 zenon_Hdd zenon_Hf9 zenon_Hec zenon_H80 zenon_Hf8 zenon_He9 zenon_Hf7 zenon_H176 zenon_H1ab zenon_Ha5 zenon_H23 zenon_H109 zenon_H171 zenon_H180 zenon_H6e zenon_H69. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.31 apply (zenon_L702_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.31 apply (zenon_L269_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.31 exact (zenon_H171 zenon_H175). % 11.15/11.31 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.31 apply (zenon_L388_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.31 apply (zenon_L36_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ]. % 11.15/11.31 apply (zenon_L708_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ]. % 11.15/11.31 apply (zenon_L22_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ]. % 11.15/11.31 apply (zenon_L478_); trivial. % 11.15/11.31 apply (zenon_L338_); trivial. % 11.15/11.31 apply (zenon_L237_); trivial. % 11.15/11.31 (* end of lemma zenon_L709_ *) % 11.15/11.31 assert (zenon_L710_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False). % 11.15/11.31 do 0 intro. intros zenon_H135 zenon_Ha2 zenon_H12e zenon_H130 zenon_H12d zenon_Hca zenon_H22. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H23 | zenon_intro zenon_H136 ]. % 11.15/11.31 apply (zenon_L515_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H11f | zenon_intro zenon_H137 ]. % 11.15/11.31 apply (zenon_L89_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H46 | zenon_intro zenon_H89 ]. % 11.15/11.31 apply (zenon_L90_); trivial. % 11.15/11.31 apply (zenon_L57_); trivial. % 11.15/11.31 (* end of lemma zenon_L710_ *) % 11.15/11.31 assert (zenon_L711_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.15/11.31 do 0 intro. intros zenon_H225 zenon_H38 zenon_H42 zenon_Hca zenon_He9 zenon_Ha9 zenon_H81 zenon_H176. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ]. % 11.15/11.31 apply (zenon_L71_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ]. % 11.15/11.31 apply (zenon_L303_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ]. % 11.15/11.31 apply (zenon_L53_); trivial. % 11.15/11.31 exact (zenon_H176 zenon_H153). % 11.15/11.31 (* end of lemma zenon_L711_ *) % 11.15/11.31 assert (zenon_L712_ : ((op (e2) (e3)) = (e0)) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (op (e2) (op (e2) (e2))))) -> False). % 11.15/11.31 do 0 intro. intros zenon_Hba zenon_H65 zenon_H25f. % 11.15/11.31 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 11.15/11.31 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e0) = (op (e2) (op (e2) (e2))))). % 11.15/11.31 intro zenon_D_pnotp. % 11.15/11.31 apply zenon_H25f. % 11.15/11.31 rewrite <- zenon_D_pnotp. % 11.15/11.31 exact zenon_Had. % 11.15/11.31 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.15/11.31 cut (((op (e2) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H260]. % 11.15/11.31 congruence. % 11.15/11.31 cut (((op (e2) (e3)) = (e0)) = ((op (e2) (op (e2) (e2))) = (e0))). % 11.15/11.31 intro zenon_D_pnotp. % 11.15/11.31 apply zenon_H260. % 11.15/11.31 rewrite <- zenon_D_pnotp. % 11.15/11.31 exact zenon_Hba. % 11.15/11.31 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.15/11.31 cut (((op (e2) (e3)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H250]. % 11.15/11.31 congruence. % 11.15/11.31 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 11.15/11.31 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e3)) = (op (e2) (op (e2) (e2))))). % 11.15/11.31 intro zenon_D_pnotp. % 11.15/11.31 apply zenon_H250. % 11.15/11.31 rewrite <- zenon_D_pnotp. % 11.15/11.31 exact zenon_Had. % 11.15/11.31 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.15/11.31 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H24f]. % 11.15/11.31 congruence. % 11.15/11.31 apply (zenon_L520_); trivial. % 11.15/11.31 apply zenon_Hae. apply refl_equal. % 11.15/11.31 apply zenon_Hae. apply refl_equal. % 11.15/11.31 apply zenon_H2b. apply refl_equal. % 11.15/11.31 apply zenon_Hae. apply refl_equal. % 11.15/11.31 apply zenon_Hae. apply refl_equal. % 11.15/11.31 (* end of lemma zenon_L712_ *) % 11.15/11.31 assert (zenon_L713_ : ((op (e0) (e2)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e2)) = (e3)) -> False). % 11.15/11.31 do 0 intro. intros zenon_H42 zenon_Hba zenon_H65. % 11.15/11.31 apply (zenon_notand_s _ _ ax23); [ zenon_intro zenon_H252 | zenon_intro zenon_H26f ]. % 11.15/11.31 apply zenon_H252. apply sym_equal. exact zenon_H65. % 11.15/11.31 apply (zenon_notand_s _ _ zenon_H26f); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H25f ]. % 11.15/11.31 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ]. % 11.15/11.31 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))). % 11.15/11.31 intro zenon_D_pnotp. % 11.15/11.31 apply zenon_Hb3. % 11.15/11.31 rewrite <- zenon_D_pnotp. % 11.15/11.31 exact zenon_Hb4. % 11.15/11.31 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5]. % 11.15/11.31 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 11.15/11.31 congruence. % 11.15/11.31 cut (((op (e0) (e2)) = (e1)) = ((op (op (e2) (op (e2) (e2))) (e2)) = (e1))). % 11.15/11.31 intro zenon_D_pnotp. % 11.15/11.31 apply zenon_Hb6. % 11.15/11.31 rewrite <- zenon_D_pnotp. % 11.15/11.31 exact zenon_H42. % 11.15/11.31 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.15/11.31 cut (((op (e0) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H262]. % 11.15/11.31 congruence. % 11.15/11.31 elim (classic ((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ]. % 11.15/11.31 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2))) = ((op (e0) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))). % 11.15/11.31 intro zenon_D_pnotp. % 11.15/11.31 apply zenon_H262. % 11.15/11.31 rewrite <- zenon_D_pnotp. % 11.15/11.31 exact zenon_Hb4. % 11.15/11.31 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (op (e2) (op (e2) (e2))) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hb5]. % 11.15/11.31 cut (((op (op (e2) (op (e2) (e2))) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H263]. % 11.15/11.31 congruence. % 11.15/11.31 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.15/11.31 cut (((op (e2) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H260]. % 11.15/11.31 congruence. % 11.15/11.31 cut (((op (e2) (e3)) = (e0)) = ((op (e2) (op (e2) (e2))) = (e0))). % 11.15/11.31 intro zenon_D_pnotp. % 11.15/11.31 apply zenon_H260. % 11.15/11.31 rewrite <- zenon_D_pnotp. % 11.15/11.31 exact zenon_Hba. % 11.15/11.31 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.15/11.31 cut (((op (e2) (e3)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H250]. % 11.15/11.31 congruence. % 11.15/11.31 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 11.15/11.31 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e3)) = (op (e2) (op (e2) (e2))))). % 11.15/11.31 intro zenon_D_pnotp. % 11.15/11.31 apply zenon_H250. % 11.15/11.31 rewrite <- zenon_D_pnotp. % 11.15/11.31 exact zenon_Had. % 11.15/11.31 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.15/11.31 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H24f]. % 11.15/11.31 congruence. % 11.15/11.31 apply (zenon_L520_); trivial. % 11.15/11.31 apply zenon_Hae. apply refl_equal. % 11.15/11.31 apply zenon_Hae. apply refl_equal. % 11.15/11.31 apply zenon_H2b. apply refl_equal. % 11.15/11.31 apply zenon_H45. apply refl_equal. % 11.15/11.31 apply zenon_Hb5. apply refl_equal. % 11.15/11.31 apply zenon_Hb5. apply refl_equal. % 11.15/11.31 apply zenon_H2f. apply refl_equal. % 11.15/11.31 apply zenon_Hb5. apply refl_equal. % 11.15/11.31 apply zenon_Hb5. apply refl_equal. % 11.15/11.31 apply (zenon_L712_); trivial. % 11.15/11.31 (* end of lemma zenon_L713_ *) % 11.15/11.31 assert (zenon_L714_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e3)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.15/11.31 do 0 intro. intros zenon_H225 zenon_H38 zenon_Hca zenon_He9 zenon_Hba zenon_H42 zenon_H176. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ]. % 11.15/11.31 apply (zenon_L71_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ]. % 11.15/11.31 apply (zenon_L303_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ]. % 11.15/11.31 apply (zenon_L713_); trivial. % 11.15/11.31 exact (zenon_H176 zenon_H153). % 11.15/11.31 (* end of lemma zenon_L714_ *) % 11.15/11.31 assert (zenon_L715_ : (((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 (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.15/11.31 do 0 intro. intros zenon_H1f4 zenon_Hea zenon_H19c zenon_H42 zenon_H84 zenon_H95 zenon_H140 zenon_H176. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ]. % 11.15/11.31 apply (zenon_L703_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ]. % 11.15/11.31 apply (zenon_L27_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ]. % 11.15/11.31 apply (zenon_L174_); trivial. % 11.15/11.31 exact (zenon_H176 zenon_H153). % 11.15/11.31 (* end of lemma zenon_L715_ *) % 11.15/11.31 assert (zenon_L716_ : (((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)) = (e1)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((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)) = (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) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False). % 11.15/11.31 do 0 intro. intros zenon_H146 zenon_H2d zenon_H1f7 zenon_H1f zenon_H176 zenon_H140 zenon_H84 zenon_H42 zenon_H19c zenon_Hea zenon_H1f4 zenon_Hbc zenon_H125 zenon_H150 zenon_H22 zenon_H12d zenon_H135 zenon_H81 zenon_H225 zenon_H38 zenon_Hca zenon_He9 zenon_H118 zenon_H23 zenon_H109 zenon_H13a zenon_H6e zenon_H16b. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H11f | zenon_intro zenon_H147 ]. % 11.15/11.31 apply (zenon_L269_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H3f | zenon_intro zenon_H148 ]. % 11.15/11.31 apply (zenon_L383_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H12e | zenon_intro zenon_H141 ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.15/11.31 apply (zenon_L388_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.15/11.31 exact (zenon_H118 zenon_H11c). % 11.15/11.31 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.15/11.31 apply (zenon_L113_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.15/11.31 apply (zenon_L710_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.15/11.31 apply (zenon_L711_); trivial. % 11.15/11.31 apply (zenon_L714_); trivial. % 11.15/11.31 apply (zenon_L715_); trivial. % 11.15/11.31 apply (zenon_L177_); trivial. % 11.15/11.31 (* end of lemma zenon_L716_ *) % 11.15/11.31 assert (zenon_L717_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.15/11.31 do 0 intro. intros zenon_H7d zenon_H122 zenon_Ha1 zenon_Ha9 zenon_H81 zenon_H225 zenon_H37 zenon_H41 zenon_Hca zenon_He9 zenon_Hf7 zenon_H176. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 11.15/11.31 apply (zenon_L470_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 11.15/11.31 apply (zenon_L323_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 11.15/11.31 apply (zenon_L53_); trivial. % 11.15/11.31 apply (zenon_L528_); trivial. % 11.15/11.31 (* end of lemma zenon_L717_ *) % 11.15/11.31 assert (zenon_L718_ : (((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) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.31 do 0 intro. intros zenon_Hd6 zenon_H123 zenon_H104 zenon_Hca zenon_H38 zenon_Hbd zenon_H6e zenon_H70. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.31 apply (zenon_L347_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.31 apply (zenon_L514_); trivial. % 11.15/11.31 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.31 exact (zenon_Hbd zenon_Hc3). % 11.15/11.31 apply (zenon_L22_); trivial. % 11.15/11.31 (* end of lemma zenon_L718_ *) % 11.15/11.31 assert (zenon_L719_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (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 (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((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 (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.32 do 0 intro. intros zenon_H16f zenon_H88 zenon_H1ab zenon_H1a9 zenon_H121 zenon_H219 zenon_H1d zenon_H169 zenon_Hd6 zenon_H104 zenon_Hca zenon_H38 zenon_Hbd zenon_H70 zenon_H180 zenon_H171 zenon_Ha5 zenon_H14b zenon_H1a6 zenon_H7d zenon_H122 zenon_Ha1 zenon_H81 zenon_H225 zenon_H41 zenon_He9 zenon_Hf7 zenon_H176 zenon_H12d zenon_H23 zenon_H235 zenon_H75 zenon_Hb9 zenon_Hdd zenon_Hf9 zenon_Hec zenon_Hf8 zenon_Hbc zenon_H146 zenon_H2d zenon_H1f7 zenon_H140 zenon_H84 zenon_H19c zenon_H1f4 zenon_H125 zenon_H135 zenon_H118 zenon_H109 zenon_H13a zenon_H16b zenon_H200 zenon_H22 zenon_H149 zenon_H1da zenon_H6e zenon_H69. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.32 apply (zenon_L447_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.32 apply (zenon_L705_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.32 apply (zenon_L709_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.32 apply (zenon_L702_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.32 apply (zenon_L269_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.32 apply (zenon_L11_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.32 exact (zenon_H171 zenon_H175). % 11.15/11.32 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.32 apply (zenon_L388_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.32 apply (zenon_L36_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.32 apply (zenon_L705_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.32 apply (zenon_L2_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.32 apply (zenon_L716_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.15/11.32 apply (zenon_L708_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.15/11.32 apply (zenon_L515_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.15/11.32 apply (zenon_L717_); trivial. % 11.15/11.32 apply (zenon_L189_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.32 apply (zenon_L57_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.32 apply (zenon_L71_); trivial. % 11.15/11.32 apply (zenon_L184_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.32 apply (zenon_L718_); trivial. % 11.15/11.32 apply (zenon_L376_); trivial. % 11.15/11.32 apply (zenon_L237_); trivial. % 11.15/11.32 (* end of lemma zenon_L719_ *) % 11.15/11.32 assert (zenon_L720_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e1)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> False). % 11.15/11.32 do 0 intro. intros zenon_H117 zenon_Ha5 zenon_H1f zenon_H118 zenon_H9b zenon_H1dd zenon_Ha2 zenon_Hca. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.32 apply (zenon_L224_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.32 exact (zenon_H118 zenon_H11c). % 11.15/11.32 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.32 apply (zenon_L512_); trivial. % 11.15/11.32 apply (zenon_L344_); trivial. % 11.15/11.32 (* end of lemma zenon_L720_ *) % 11.15/11.32 assert (zenon_L721_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (op (e1) (op (e1) (e1))))) -> False). % 11.15/11.32 do 0 intro. intros zenon_H1a7 zenon_Hca zenon_H203. % 11.15/11.32 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ]. % 11.15/11.32 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e0) = (op (e1) (op (e1) (e1))))). % 11.15/11.32 intro zenon_D_pnotp. % 11.15/11.32 apply zenon_H203. % 11.15/11.32 rewrite <- zenon_D_pnotp. % 11.15/11.32 exact zenon_H59. % 11.15/11.32 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 11.15/11.32 cut (((op (e1) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H204]. % 11.15/11.32 congruence. % 11.15/11.32 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (op (e1) (e1))) = (e0))). % 11.15/11.32 intro zenon_D_pnotp. % 11.15/11.32 apply zenon_H204. % 11.15/11.32 rewrite <- zenon_D_pnotp. % 11.15/11.32 exact zenon_H1a7. % 11.15/11.32 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.15/11.32 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 11.15/11.32 congruence. % 11.15/11.32 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ]. % 11.15/11.32 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e1))))). % 11.15/11.32 intro zenon_D_pnotp. % 11.15/11.32 apply zenon_H209. % 11.15/11.32 rewrite <- zenon_D_pnotp. % 11.15/11.32 exact zenon_H59. % 11.15/11.32 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 11.15/11.32 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H208]. % 11.15/11.32 congruence. % 11.15/11.32 apply (zenon_L342_); trivial. % 11.15/11.32 apply zenon_H5a. apply refl_equal. % 11.15/11.32 apply zenon_H5a. apply refl_equal. % 11.15/11.32 apply zenon_H2b. apply refl_equal. % 11.15/11.32 apply zenon_H5a. apply refl_equal. % 11.15/11.32 apply zenon_H5a. apply refl_equal. % 11.15/11.32 (* end of lemma zenon_L721_ *) % 11.15/11.32 assert (zenon_L722_ : ((op (e0) (e1)) = (e2)) -> ((op (e1) (e3)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> False). % 11.15/11.32 do 0 intro. intros zenon_H46 zenon_H1a7 zenon_Hca. % 11.15/11.32 apply (zenon_notand_s _ _ ax17); [ zenon_intro zenon_H20b | zenon_intro zenon_H270 ]. % 11.15/11.32 apply zenon_H20b. apply sym_equal. exact zenon_Hca. % 11.15/11.32 apply (zenon_notand_s _ _ zenon_H270); [ zenon_intro zenon_H97 | zenon_intro zenon_H203 ]. % 11.15/11.32 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.15/11.32 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))). % 11.15/11.32 intro zenon_D_pnotp. % 11.15/11.32 apply zenon_H97. % 11.15/11.32 rewrite <- zenon_D_pnotp. % 11.15/11.32 exact zenon_H60. % 11.15/11.32 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.15/11.32 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 11.15/11.32 congruence. % 11.15/11.32 cut (((op (e0) (e1)) = (e2)) = ((op (op (e1) (op (e1) (e1))) (e1)) = (e2))). % 11.15/11.32 intro zenon_D_pnotp. % 11.15/11.32 apply zenon_H98. % 11.15/11.32 rewrite <- zenon_D_pnotp. % 11.15/11.32 exact zenon_H46. % 11.15/11.32 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.15/11.32 cut (((op (e0) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 11.15/11.32 congruence. % 11.15/11.32 elim (classic ((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 11.15/11.32 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1))) = ((op (e0) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))). % 11.15/11.32 intro zenon_D_pnotp. % 11.15/11.32 apply zenon_H206. % 11.15/11.32 rewrite <- zenon_D_pnotp. % 11.15/11.32 exact zenon_H60. % 11.15/11.32 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (op (e1) (op (e1) (e1))) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.15/11.32 cut (((op (op (e1) (op (e1) (e1))) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H207]. % 11.15/11.32 congruence. % 11.15/11.32 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 11.15/11.32 cut (((op (e1) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H204]. % 11.15/11.32 congruence. % 11.15/11.32 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (op (e1) (e1))) = (e0))). % 11.15/11.32 intro zenon_D_pnotp. % 11.15/11.32 apply zenon_H204. % 11.15/11.32 rewrite <- zenon_D_pnotp. % 11.15/11.32 exact zenon_H1a7. % 11.15/11.32 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.15/11.32 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 11.15/11.32 congruence. % 11.15/11.32 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ]. % 11.15/11.32 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e1))))). % 11.15/11.32 intro zenon_D_pnotp. % 11.15/11.32 apply zenon_H209. % 11.15/11.32 rewrite <- zenon_D_pnotp. % 11.15/11.32 exact zenon_H59. % 11.15/11.32 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 11.15/11.32 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H208]. % 11.15/11.32 congruence. % 11.15/11.32 apply (zenon_L342_); trivial. % 11.15/11.32 apply zenon_H5a. apply refl_equal. % 11.15/11.32 apply zenon_H5a. apply refl_equal. % 11.15/11.32 apply zenon_H2b. apply refl_equal. % 11.15/11.32 apply zenon_H2f. apply refl_equal. % 11.15/11.32 apply zenon_H61. apply refl_equal. % 11.15/11.32 apply zenon_H61. apply refl_equal. % 11.15/11.32 apply zenon_H45. apply refl_equal. % 11.15/11.32 apply zenon_H61. apply refl_equal. % 11.15/11.32 apply zenon_H61. apply refl_equal. % 11.15/11.32 apply (zenon_L721_); trivial. % 11.15/11.32 (* end of lemma zenon_L722_ *) % 11.15/11.32 assert (zenon_L723_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.15/11.32 do 0 intro. intros zenon_H13a zenon_Hca zenon_H1a7 zenon_H118 zenon_H103 zenon_H12a zenon_H163 zenon_H109. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.15/11.32 apply (zenon_L722_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.15/11.32 exact (zenon_H118 zenon_H11c). % 11.15/11.32 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.15/11.32 apply (zenon_L274_); trivial. % 11.15/11.32 apply (zenon_L275_); trivial. % 11.15/11.32 (* end of lemma zenon_L723_ *) % 11.15/11.32 assert (zenon_L724_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False). % 11.15/11.32 do 0 intro. intros zenon_H135 zenon_H88 zenon_H2c zenon_H12e zenon_H130 zenon_H12d zenon_Hca zenon_H22. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H23 | zenon_intro zenon_H136 ]. % 11.15/11.32 apply (zenon_L447_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H11f | zenon_intro zenon_H137 ]. % 11.15/11.32 apply (zenon_L89_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H46 | zenon_intro zenon_H89 ]. % 11.15/11.32 apply (zenon_L90_); trivial. % 11.15/11.32 apply (zenon_L57_); trivial. % 11.15/11.32 (* end of lemma zenon_L724_ *) % 11.15/11.32 assert (zenon_L725_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> ((op (e3) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.32 do 0 intro. intros zenon_H1d4 zenon_Ha5 zenon_H103 zenon_H11f zenon_H12d zenon_Ha2 zenon_Hdc zenon_H6e zenon_H75. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ]. % 11.15/11.32 apply (zenon_L270_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ]. % 11.15/11.32 apply (zenon_L89_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ]. % 11.15/11.32 apply (zenon_L599_); trivial. % 11.15/11.32 apply (zenon_L377_); trivial. % 11.15/11.32 (* end of lemma zenon_L725_ *) % 11.15/11.32 assert (zenon_L726_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> False). % 11.15/11.32 do 0 intro. intros zenon_H1fc zenon_H2d zenon_H81 zenon_H75 zenon_H6e zenon_Hdc zenon_H12d zenon_H11f zenon_Ha5 zenon_H1d4 zenon_H13a zenon_Hca zenon_H1a7 zenon_H118 zenon_H103 zenon_H12a zenon_H109. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.32 apply (zenon_L269_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.32 apply (zenon_L44_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.32 apply (zenon_L725_); trivial. % 11.15/11.32 apply (zenon_L723_); trivial. % 11.15/11.32 (* end of lemma zenon_L726_ *) % 11.15/11.32 assert (zenon_L727_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e3)) -> False). % 11.15/11.32 do 0 intro. intros zenon_H1ab zenon_H46 zenon_H70 zenon_H6e zenon_H108 zenon_H1a9 zenon_H121 zenon_Hca. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ]. % 11.15/11.32 apply (zenon_L722_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ]. % 11.15/11.32 apply (zenon_L22_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ]. % 11.15/11.32 apply (zenon_L478_); trivial. % 11.15/11.32 apply (zenon_L338_); trivial. % 11.15/11.32 (* end of lemma zenon_L727_ *) % 11.15/11.32 assert (zenon_L728_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e0) (e0)) = (e0)) -> (~((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)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> ((op (e3) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.32 do 0 intro. intros zenon_H1d4 zenon_H38 zenon_H4c zenon_H22 zenon_Hca zenon_H12d zenon_H130 zenon_H2c zenon_H88 zenon_H135 zenon_Ha2 zenon_Hdc zenon_H6e zenon_H75. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ]. % 11.15/11.32 apply (zenon_L350_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ]. % 11.15/11.32 apply (zenon_L724_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ]. % 11.15/11.32 apply (zenon_L599_); trivial. % 11.15/11.32 apply (zenon_L377_); trivial. % 11.15/11.32 (* end of lemma zenon_L728_ *) % 11.15/11.32 assert (zenon_L729_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (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 (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> False). % 11.15/11.32 do 0 intro. intros zenon_H13a zenon_H121 zenon_H1a9 zenon_H108 zenon_H70 zenon_H1ab zenon_H149 zenon_H75 zenon_H6e zenon_Hdc zenon_Ha2 zenon_H135 zenon_H88 zenon_H2c zenon_H12d zenon_Hca zenon_H22 zenon_H4c zenon_H38 zenon_H1d4 zenon_H138 zenon_H8d. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.15/11.32 apply (zenon_L727_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.15/11.32 apply (zenon_L285_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.15/11.32 apply (zenon_L728_); trivial. % 11.15/11.32 apply (zenon_L93_); trivial. % 11.15/11.32 (* end of lemma zenon_L729_ *) % 11.15/11.32 assert (zenon_L730_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e3)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.15/11.32 do 0 intro. intros zenon_Hd3 zenon_H38 zenon_H1f zenon_H1a7 zenon_H46 zenon_Hcc zenon_H65 zenon_H1a9 zenon_H101. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.15/11.32 apply (zenon_L9_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.15/11.32 apply (zenon_L722_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.15/11.32 apply (zenon_L45_); trivial. % 11.15/11.32 apply (zenon_L192_); trivial. % 11.15/11.32 (* end of lemma zenon_L730_ *) % 11.15/11.32 assert (zenon_L731_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e3) (e3)) = (e1)) -> False). % 11.15/11.32 do 0 intro. intros zenon_H1cd zenon_Hf7 zenon_H121 zenon_Hca zenon_H81 zenon_H244 zenon_H101 zenon_H1a9 zenon_Hcc zenon_H46 zenon_H1f zenon_H38 zenon_Hd3 zenon_H65 zenon_H42 zenon_H2d zenon_H6e. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H31 | zenon_intro zenon_H1ce ]. % 11.15/11.32 apply (zenon_L680_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1cf ]. % 11.15/11.32 apply (zenon_L730_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hba | zenon_intro zenon_H68 ]. % 11.15/11.32 apply (zenon_L713_); trivial. % 11.15/11.32 apply (zenon_L165_); trivial. % 11.15/11.32 (* end of lemma zenon_L731_ *) % 11.15/11.32 assert (zenon_L732_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.15/11.32 do 0 intro. intros zenon_H225 zenon_He9 zenon_H6e zenon_H2d zenon_H42 zenon_Hd3 zenon_H38 zenon_H1f zenon_H46 zenon_Hcc zenon_H1a9 zenon_H101 zenon_H244 zenon_H81 zenon_Hca zenon_H121 zenon_Hf7 zenon_H1cd zenon_H176. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ]. % 11.15/11.32 apply (zenon_L71_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ]. % 11.15/11.32 apply (zenon_L303_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ]. % 11.15/11.32 apply (zenon_L731_); trivial. % 11.15/11.32 exact (zenon_H176 zenon_H153). % 11.15/11.32 (* end of lemma zenon_L732_ *) % 11.15/11.32 assert (zenon_L733_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.15/11.32 do 0 intro. intros zenon_H14b zenon_H2c zenon_H22 zenon_H225 zenon_He9 zenon_H6e zenon_H2d zenon_H42 zenon_Hd3 zenon_H38 zenon_H1f zenon_H46 zenon_Hcc zenon_H1a9 zenon_H244 zenon_H81 zenon_Hca zenon_H121 zenon_Hf7 zenon_H1cd zenon_H176. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.32 apply (zenon_L468_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.32 apply (zenon_L57_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.32 apply (zenon_L71_); trivial. % 11.15/11.32 apply (zenon_L732_); trivial. % 11.15/11.32 (* end of lemma zenon_L733_ *) % 11.15/11.32 assert (zenon_L734_ : (((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 (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.15/11.32 do 0 intro. intros zenon_H14b zenon_H81 zenon_H2c zenon_H22 zenon_Hca zenon_H38 zenon_H42 zenon_H108 zenon_H149. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.32 apply (zenon_L468_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.32 apply (zenon_L57_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.32 apply (zenon_L71_); trivial. % 11.15/11.32 apply (zenon_L184_); trivial. % 11.15/11.32 (* end of lemma zenon_L734_ *) % 11.15/11.32 assert (zenon_L735_ : ((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.15/11.32 do 0 intro. intros zenon_H16e zenon_H6e zenon_Ha5 zenon_H153. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H176 | zenon_intro zenon_H7c ]. % 11.15/11.32 exact (zenon_H176 zenon_H153). % 11.15/11.32 apply (zenon_L125_); trivial. % 11.15/11.32 (* end of lemma zenon_L735_ *) % 11.15/11.32 assert (zenon_L736_ : (((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) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.15/11.32 do 0 intro. intros zenon_H1f4 zenon_Hea zenon_H19c zenon_H1ca zenon_H6e zenon_Hfc zenon_Hf5 zenon_H176. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ]. % 11.15/11.32 apply (zenon_L703_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ]. % 11.15/11.32 apply (zenon_L369_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ]. % 11.15/11.32 apply (zenon_L163_); trivial. % 11.15/11.32 exact (zenon_H176 zenon_H153). % 11.15/11.32 (* end of lemma zenon_L736_ *) % 11.15/11.32 assert (zenon_L737_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e1) = (e2))) -> ((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> ((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2))) -> False). % 11.15/11.32 do 0 intro. intros zenon_H258 zenon_Ha5 zenon_H16e zenon_H1f4 zenon_Hfc zenon_Hf5 zenon_H6e zenon_H1ca zenon_H19c zenon_Hcc zenon_He9 zenon_Hca zenon_H20f zenon_H118 zenon_H174. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ]. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ]. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H176 | zenon_intro zenon_H7c ]. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_Hea | zenon_intro zenon_H210 ]. % 11.15/11.32 apply (zenon_L736_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H211 ]. % 11.15/11.32 exact (zenon_Hbd zenon_Hc3). % 11.15/11.32 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H10d | zenon_intro zenon_Hcb ]. % 11.15/11.32 apply (zenon_L140_); trivial. % 11.15/11.32 apply (zenon_L303_); trivial. % 11.15/11.32 exact (zenon_H79 zenon_H7c). % 11.15/11.32 exact (zenon_H118 zenon_H11c). % 11.15/11.32 apply (zenon_L735_); trivial. % 11.15/11.32 (* end of lemma zenon_L737_ *) % 11.15/11.32 assert (zenon_L738_ : ((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2))) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e1)) -> False). % 11.15/11.32 do 0 intro. intros zenon_H174 zenon_Hca zenon_H149 zenon_Hc3. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ]. % 11.15/11.32 exact (zenon_Hbd zenon_Hc3). % 11.15/11.32 apply (zenon_L285_); trivial. % 11.15/11.32 (* end of lemma zenon_L738_ *) % 11.15/11.32 assert (zenon_L739_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.15/11.32 do 0 intro. intros zenon_H225 zenon_H81 zenon_He3 zenon_Hca zenon_He9 zenon_H66 zenon_H38 zenon_H176. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ]. % 11.15/11.32 apply (zenon_L183_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ]. % 11.15/11.32 apply (zenon_L303_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ]. % 11.15/11.32 apply (zenon_L20_); trivial. % 11.15/11.32 exact (zenon_H176 zenon_H153). % 11.15/11.32 (* end of lemma zenon_L739_ *) % 11.15/11.32 assert (zenon_L740_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((e2) = (e3))) -> ((~((op (e1) (e2)) = (e1)))\/((op (e1) (e1)) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> ((~((op (e3) (e2)) = (e3)))\/((op (e3) (e3)) = (e2))) -> (~((e1) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False). % 11.15/11.32 do 0 intro. intros zenon_H254 zenon_H149 zenon_H174 zenon_Hbe zenon_H6e zenon_H1ca zenon_H81 zenon_He9 zenon_Hca zenon_H38 zenon_H225 zenon_He3 zenon_H2d zenon_H16e zenon_Ha5 zenon_H258. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_Hc3 ]. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ]. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ]. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H176 | zenon_intro zenon_H7c ]. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.15/11.32 apply (zenon_L467_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.15/11.32 exact (zenon_Hbd zenon_Hc3). % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.15/11.32 apply (zenon_L739_); trivial. % 11.15/11.32 apply (zenon_L369_); trivial. % 11.15/11.32 exact (zenon_H79 zenon_H7c). % 11.15/11.32 exact (zenon_H118 zenon_H11c). % 11.15/11.32 apply (zenon_L735_); trivial. % 11.15/11.32 apply (zenon_L738_); trivial. % 11.15/11.32 (* end of lemma zenon_L740_ *) % 11.15/11.32 assert (zenon_L741_ : (((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\(((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e3)) -> False). % 11.15/11.32 do 0 intro. intros zenon_H25b zenon_H6e zenon_H70 zenon_Hca. % 11.15/11.32 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25d. zenon_intro zenon_H25c. % 11.15/11.32 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H272. zenon_intro zenon_H271. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1cc | zenon_intro zenon_H6f ]. % 11.15/11.32 exact (zenon_H1cc zenon_Hca). % 11.15/11.32 apply (zenon_L22_); trivial. % 11.15/11.32 (* end of lemma zenon_L741_ *) % 11.15/11.32 assert (zenon_L742_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> False). % 11.15/11.32 do 0 intro. intros zenon_H19e zenon_H14e zenon_H1f3 zenon_Hdc zenon_H84 zenon_Hf5 zenon_H19c zenon_Hc3 zenon_Ha9 zenon_H1f4 zenon_H1a6 zenon_H10c. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.32 exact (zenon_H14e zenon_H103). % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.32 exact (zenon_H1f3 zenon_H130). % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.32 apply (zenon_L315_); trivial. % 11.15/11.32 apply (zenon_L231_); trivial. % 11.15/11.32 (* end of lemma zenon_L742_ *) % 11.15/11.32 assert (zenon_L743_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e2))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.15/11.32 do 0 intro. intros zenon_H117 zenon_H1d zenon_H109 zenon_H24 zenon_H3d zenon_H1f3 zenon_He9 zenon_H88 zenon_H175 zenon_H13a zenon_H6f zenon_Ha5. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.32 apply (zenon_L281_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.32 apply (zenon_L149_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.32 apply (zenon_L313_); trivial. % 11.15/11.32 apply (zenon_L78_); trivial. % 11.15/11.32 (* end of lemma zenon_L743_ *) % 11.15/11.32 assert (zenon_L744_ : (((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) (e1)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e2))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> False). % 11.15/11.32 do 0 intro. intros zenon_Hd6 zenon_H123 zenon_H104 zenon_H40 zenon_H1a6 zenon_H1f4 zenon_Ha9 zenon_H19c zenon_Hf5 zenon_H84 zenon_Hdc zenon_H14e zenon_H19e zenon_H117 zenon_H1d zenon_H109 zenon_H24 zenon_H3d zenon_H1f3 zenon_He9 zenon_H88 zenon_H175 zenon_H13a zenon_Ha5. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.32 apply (zenon_L347_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.32 exact (zenon_H40 zenon_H3f). % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.32 apply (zenon_L281_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.32 apply (zenon_L149_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.32 apply (zenon_L313_); trivial. % 11.15/11.32 apply (zenon_L742_); trivial. % 11.15/11.32 apply (zenon_L743_); trivial. % 11.15/11.32 (* end of lemma zenon_L744_ *) % 11.15/11.32 assert (zenon_L745_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (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 (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.15/11.32 do 0 intro. intros zenon_H200 zenon_Hc5 zenon_H88 zenon_H19e zenon_H14e zenon_Hdc zenon_H84 zenon_Hf5 zenon_H19c zenon_H1f4 zenon_H1a6 zenon_H104 zenon_H123 zenon_H150 zenon_H138 zenon_Hd6 zenon_H2d zenon_H117 zenon_H1d zenon_H140 zenon_H170 zenon_Ha9 zenon_H109 zenon_H175 zenon_H41 zenon_H1b9 zenon_H67 zenon_H10e zenon_Hbe zenon_H145 zenon_H1f9 zenon_H40 zenon_H162 zenon_Ha1 zenon_H3d zenon_H1f7 zenon_H11f zenon_H38 zenon_H13b zenon_H1f3 zenon_He9 zenon_H13a zenon_Ha5 zenon_H1fd zenon_H1fc zenon_H1a9 zenon_H31. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.32 apply (zenon_L127_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.32 apply (zenon_L744_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.32 apply (zenon_L327_); trivial. % 11.15/11.32 apply (zenon_L328_); trivial. % 11.15/11.32 (* end of lemma zenon_L745_ *) % 11.15/11.32 assert (zenon_L746_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.32 do 0 intro. intros zenon_H19e zenon_H14e zenon_H1f3 zenon_Hdd zenon_H9e zenon_Ha5 zenon_H156 zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_H75. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.32 exact (zenon_H14e zenon_H103). % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.32 exact (zenon_H1f3 zenon_H130). % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.32 apply (zenon_L145_); trivial. % 11.15/11.32 apply (zenon_L587_); trivial. % 11.15/11.32 (* end of lemma zenon_L746_ *) % 11.15/11.32 assert (zenon_L747_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.15/11.32 do 0 intro. intros zenon_H180 zenon_H81 zenon_H11f zenon_H38 zenon_H149 zenon_H14b zenon_H22 zenon_H75 zenon_H84 zenon_H162 zenon_H11c zenon_H156 zenon_Ha5 zenon_H9e zenon_Hdd zenon_H1f3 zenon_H14e zenon_H19e zenon_H31 zenon_H109. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.32 apply (zenon_L297_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.32 apply (zenon_L253_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.32 apply (zenon_L746_); trivial. % 11.15/11.32 apply (zenon_L75_); trivial. % 11.15/11.32 (* end of lemma zenon_L747_ *) % 11.15/11.32 assert (zenon_L748_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.15/11.32 do 0 intro. intros zenon_H15e zenon_H109 zenon_H31 zenon_H19e zenon_H14e zenon_H1f3 zenon_Hdd zenon_H9e zenon_Ha5 zenon_H11c zenon_H162 zenon_H84 zenon_H75 zenon_H22 zenon_H14b zenon_H149 zenon_H38 zenon_H11f zenon_H81 zenon_H180 zenon_H2d zenon_H163 zenon_Hc3 zenon_H19c zenon_H15d. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.32 apply (zenon_L747_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.32 apply (zenon_L213_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.32 apply (zenon_L167_); trivial. % 11.15/11.32 exact (zenon_H15d zenon_H6e). % 11.15/11.32 (* end of lemma zenon_L748_ *) % 11.15/11.32 assert (zenon_L749_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e3) (e3)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e3) (e1)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> False). % 11.15/11.32 do 0 intro. intros zenon_Hbe zenon_H175 zenon_H3d zenon_H15d zenon_H2d zenon_H180 zenon_H81 zenon_H11f zenon_H38 zenon_H149 zenon_H14b zenon_H22 zenon_H75 zenon_H84 zenon_H162 zenon_Ha5 zenon_H9e zenon_Hdd zenon_H1f3 zenon_H14e zenon_H19e zenon_H31 zenon_H109 zenon_H15e zenon_H67 zenon_H20f zenon_He5 zenon_H1f0 zenon_H19c zenon_He9 zenon_H163 zenon_H11c. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.15/11.32 apply (zenon_L284_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.15/11.32 apply (zenon_L748_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.15/11.32 exact (zenon_H67 zenon_H66). % 11.15/11.32 apply (zenon_L353_); trivial. % 11.15/11.32 (* end of lemma zenon_L749_ *) % 11.15/11.32 assert (zenon_L750_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((e1) = (e2))) -> (((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)) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((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)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.15/11.32 do 0 intro. intros zenon_Hd9 zenon_H31 zenon_H1a9 zenon_H1fc zenon_H1fd zenon_Ha5 zenon_H13a zenon_He9 zenon_H1f3 zenon_H13b zenon_H11f zenon_H1f7 zenon_Ha1 zenon_H162 zenon_H40 zenon_H1f9 zenon_H145 zenon_Hbe zenon_H10e zenon_H67 zenon_H1b9 zenon_H41 zenon_H175 zenon_H109 zenon_Ha9 zenon_H170 zenon_H140 zenon_H1d zenon_H117 zenon_H2d zenon_Hd6 zenon_H138 zenon_H104 zenon_H1a6 zenon_H1f4 zenon_H19c zenon_Hf5 zenon_H84 zenon_Hdc zenon_H14e zenon_H19e zenon_H88 zenon_Hc5 zenon_H200 zenon_H38 zenon_H123 zenon_H150 zenon_H81. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.32 apply (zenon_L58_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.32 apply (zenon_L745_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.32 apply (zenon_L350_); trivial. % 11.15/11.32 apply (zenon_L116_); trivial. % 11.15/11.32 (* end of lemma zenon_L750_ *) % 11.15/11.32 assert (zenon_L751_ : ((op (e1) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (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) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((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 (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.32 do 0 intro. intros zenon_H10d zenon_H166 zenon_H81 zenon_H123 zenon_H38 zenon_H200 zenon_Hc5 zenon_H88 zenon_H19e zenon_H14e zenon_Hdc zenon_H84 zenon_H19c zenon_H1f4 zenon_H1a6 zenon_H104 zenon_H138 zenon_Hd6 zenon_H2d zenon_H117 zenon_H1d zenon_H140 zenon_H170 zenon_H175 zenon_H41 zenon_H1b9 zenon_H67 zenon_H10e zenon_Hbe zenon_H145 zenon_H1f9 zenon_H40 zenon_H162 zenon_Ha1 zenon_H1f7 zenon_H11f zenon_H13b zenon_H1f3 zenon_He9 zenon_H13a zenon_Ha5 zenon_H1fd zenon_H1fc zenon_H1a9 zenon_Hd9 zenon_H109 zenon_Ha9 zenon_Hf5 zenon_H31 zenon_H69. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.15/11.32 apply (zenon_L81_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.15/11.32 apply (zenon_L273_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.15/11.32 exact (zenon_H1f3 zenon_H130). % 11.15/11.32 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.32 apply (zenon_L750_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.32 apply (zenon_L275_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.32 apply (zenon_L65_); trivial. % 11.15/11.32 apply (zenon_L21_); trivial. % 11.15/11.32 (* end of lemma zenon_L751_ *) % 11.15/11.32 assert (zenon_L752_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> False). % 11.15/11.32 do 0 intro. intros zenon_H19e zenon_H14e zenon_H1f3 zenon_H109 zenon_Ha9 zenon_H1a6 zenon_H10c. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.32 exact (zenon_H14e zenon_H103). % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.32 exact (zenon_H1f3 zenon_H130). % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.32 apply (zenon_L139_); trivial. % 11.15/11.32 apply (zenon_L231_); trivial. % 11.15/11.32 (* end of lemma zenon_L752_ *) % 11.15/11.32 assert (zenon_L753_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (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)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.15/11.32 do 0 intro. intros zenon_H1da zenon_H2a zenon_H81 zenon_Hd9 zenon_Hc5 zenon_H14b zenon_Hd6 zenon_He5 zenon_H40 zenon_H1dd zenon_H117 zenon_H1d zenon_H38 zenon_H149 zenon_Hd3 zenon_H15d zenon_H84 zenon_H42 zenon_H13a zenon_H175 zenon_H88 zenon_He9 zenon_Ha5 zenon_H166 zenon_H2d zenon_Hf5 zenon_H31 zenon_H69 zenon_H15e zenon_H19e zenon_H14e zenon_H1f3 zenon_H109 zenon_Ha9 zenon_H1a6. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.32 exact (zenon_H2a zenon_H1e). % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.32 apply (zenon_L56_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.32 apply (zenon_L291_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.32 apply (zenon_L28_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.32 apply (zenon_L284_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.32 apply (zenon_L350_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.32 apply (zenon_L56_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.32 exact (zenon_H40 zenon_H3f). % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.32 apply (zenon_L280_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.32 apply (zenon_L281_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.32 apply (zenon_L360_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.32 apply (zenon_L333_); trivial. % 11.15/11.32 apply (zenon_L752_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.32 apply (zenon_L71_); trivial. % 11.15/11.32 apply (zenon_L73_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.32 apply (zenon_L56_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.32 exact (zenon_H40 zenon_H3f). % 11.15/11.32 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.32 apply (zenon_L280_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.32 apply (zenon_L281_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.32 apply (zenon_L300_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.32 apply (zenon_L333_); trivial. % 11.15/11.32 apply (zenon_L752_); trivial. % 11.15/11.32 (* end of lemma zenon_L753_ *) % 11.15/11.32 assert (zenon_L754_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.15/11.32 do 0 intro. intros zenon_H117 zenon_H1d zenon_H15d zenon_H19c zenon_Hc3 zenon_H2d zenon_H180 zenon_H81 zenon_H11f zenon_H38 zenon_H149 zenon_H14b zenon_H22 zenon_H75 zenon_H84 zenon_H162 zenon_Ha5 zenon_H9e zenon_Hdd zenon_H31 zenon_H15e zenon_H163 zenon_He9 zenon_H88 zenon_H175 zenon_H13a zenon_H19e zenon_H14e zenon_H1f3 zenon_H109 zenon_Ha9 zenon_H1a6. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.32 apply (zenon_L281_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.32 apply (zenon_L748_); trivial. % 11.15/11.32 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.32 apply (zenon_L364_); trivial. % 11.15/11.32 apply (zenon_L752_); trivial. % 11.15/11.32 (* end of lemma zenon_L754_ *) % 11.15/11.32 assert (zenon_L755_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((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 (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (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 (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.15/11.33 do 0 intro. intros zenon_H219 zenon_H19e zenon_H14e zenon_H19c zenon_H1f4 zenon_H1a6 zenon_Hd6 zenon_H170 zenon_H41 zenon_H67 zenon_Hbe zenon_H145 zenon_H1f7 zenon_H13b zenon_H12a zenon_H1ab zenon_H12d zenon_H1d4 zenon_H150 zenon_H14b zenon_H1d zenon_H104 zenon_Hc5 zenon_H20c zenon_H175 zenon_H88 zenon_Hd9 zenon_H38 zenon_H81 zenon_H149 zenon_H1a9 zenon_H1fc zenon_H1fd zenon_H140 zenon_Ha9 zenon_H109 zenon_H10e zenon_Ha5 zenon_H1b9 zenon_H1f3 zenon_H121 zenon_H13a zenon_Hd3 zenon_H22 zenon_Ha1 zenon_H1f9 zenon_He9 zenon_H40 zenon_H162 zenon_H117 zenon_H138 zenon_H15d zenon_H84 zenon_H166 zenon_Hf5 zenon_H69 zenon_H15e zenon_H200 zenon_H2a zenon_H1da zenon_H31 zenon_H2d. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.33 exact (zenon_H2a zenon_H1e). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.33 exact (zenon_H2a zenon_H1e). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.33 apply (zenon_L291_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.33 apply (zenon_L296_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.33 apply (zenon_L58_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.33 apply (zenon_L9_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.33 apply (zenon_L127_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.33 apply (zenon_L330_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.33 exact (zenon_H1fd zenon_H23). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.33 apply (zenon_L59_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.33 apply (zenon_L281_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.33 apply (zenon_L341_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.15/11.33 apply (zenon_L156_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.15/11.33 apply (zenon_L273_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.15/11.33 exact (zenon_H1f3 zenon_H130). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ]. % 11.15/11.33 apply (zenon_L350_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ]. % 11.15/11.33 apply (zenon_L89_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ]. % 11.15/11.33 exact (zenon_H67 zenon_H66). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.33 exact (zenon_H14e zenon_H103). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.33 exact (zenon_H1f3 zenon_H130). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.33 apply (zenon_L139_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ]. % 11.15/11.33 apply (zenon_L537_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ]. % 11.15/11.33 apply (zenon_L190_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ]. % 11.15/11.33 apply (zenon_L231_); trivial. % 11.15/11.33 apply (zenon_L339_); trivial. % 11.15/11.33 apply (zenon_L346_); trivial. % 11.15/11.33 apply (zenon_L134_); trivial. % 11.15/11.33 apply (zenon_L328_); trivial. % 11.15/11.33 apply (zenon_L116_); trivial. % 11.15/11.33 apply (zenon_L73_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.33 apply (zenon_L349_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.33 apply (zenon_L296_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.33 apply (zenon_L750_); trivial. % 11.15/11.33 apply (zenon_L73_); trivial. % 11.15/11.33 apply (zenon_L169_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.33 apply (zenon_L366_); trivial. % 11.15/11.33 apply (zenon_L301_); trivial. % 11.15/11.33 (* end of lemma zenon_L755_ *) % 11.15/11.33 assert (zenon_L756_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.15/11.33 do 0 intro. intros zenon_H117 zenon_H1d zenon_H38 zenon_H123 zenon_Ha9 zenon_H149 zenon_Hc4 zenon_Hc5 zenon_Hd3 zenon_H109 zenon_H163 zenon_H1f3 zenon_He9 zenon_H88 zenon_H175 zenon_H13a zenon_H6f zenon_Ha5. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.33 apply (zenon_L281_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.33 apply (zenon_L360_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.33 apply (zenon_L364_); trivial. % 11.15/11.33 apply (zenon_L78_); trivial. % 11.15/11.33 (* end of lemma zenon_L756_ *) % 11.15/11.33 assert (zenon_L757_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> False). % 11.15/11.33 do 0 intro. intros zenon_Hd6 zenon_H104 zenon_H40 zenon_H1a6 zenon_H14e zenon_H19e zenon_H15e zenon_H31 zenon_Hdd zenon_H9e zenon_H162 zenon_H84 zenon_H75 zenon_H22 zenon_H14b zenon_H11f zenon_H81 zenon_H180 zenon_H2d zenon_H19c zenon_H15d zenon_H117 zenon_H1d zenon_H38 zenon_H123 zenon_Ha9 zenon_H149 zenon_Hc4 zenon_Hc5 zenon_Hd3 zenon_H109 zenon_H163 zenon_H1f3 zenon_He9 zenon_H88 zenon_H175 zenon_H13a zenon_Ha5. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.33 apply (zenon_L347_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.33 exact (zenon_H40 zenon_H3f). % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.33 apply (zenon_L754_); trivial. % 11.15/11.33 apply (zenon_L756_); trivial. % 11.15/11.33 (* end of lemma zenon_L757_ *) % 11.15/11.33 assert (zenon_L758_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (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) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.33 do 0 intro. intros zenon_H219 zenon_H169 zenon_H20c zenon_H150 zenon_H200 zenon_Hc5 zenon_H117 zenon_H1d zenon_H109 zenon_H140 zenon_H1ca zenon_H158 zenon_He9 zenon_Ha5 zenon_H13a zenon_H19e zenon_H14e zenon_H1f3 zenon_H84 zenon_Hf5 zenon_H19c zenon_Ha9 zenon_H1f4 zenon_H1a6 zenon_H70 zenon_H2d zenon_H40 zenon_H104 zenon_Hd6 zenon_H1a9 zenon_H41 zenon_Hd9 zenon_H1d4 zenon_H12d zenon_H67 zenon_H75 zenon_H88 zenon_H121 zenon_H2a zenon_H1da zenon_H81 zenon_H31 zenon_H38 zenon_H132 zenon_H133 zenon_H149 zenon_H175 zenon_H14b zenon_H6e zenon_H69. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.33 exact (zenon_H2a zenon_H1e). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.33 exact (zenon_H2a zenon_H1e). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.33 apply (zenon_L378_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.33 apply (zenon_L349_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.33 apply (zenon_L91_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.33 apply (zenon_L58_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.33 apply (zenon_L127_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.33 apply (zenon_L9_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.33 exact (zenon_H40 zenon_H3f). % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.33 apply (zenon_L281_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.33 apply (zenon_L149_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.33 apply (zenon_L371_); trivial. % 11.15/11.33 apply (zenon_L742_); trivial. % 11.15/11.33 apply (zenon_L22_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.33 apply (zenon_L374_); trivial. % 11.15/11.33 apply (zenon_L328_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.33 apply (zenon_L350_); trivial. % 11.15/11.33 apply (zenon_L116_); trivial. % 11.15/11.33 apply (zenon_L73_); trivial. % 11.15/11.33 apply (zenon_L376_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.33 apply (zenon_L304_); trivial. % 11.15/11.33 apply (zenon_L237_); trivial. % 11.15/11.33 (* end of lemma zenon_L758_ *) % 11.15/11.33 assert (zenon_L759_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.15/11.33 do 0 intro. intros zenon_H13b zenon_H81 zenon_H23 zenon_H1cc zenon_H19f zenon_H10d zenon_Hcc zenon_H149 zenon_H14e zenon_H19e zenon_H138 zenon_Hc4. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.15/11.33 apply (zenon_L292_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.15/11.33 exact (zenon_H1cc zenon_Hca). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.33 exact (zenon_H14e zenon_H103). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.33 apply (zenon_L389_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.33 apply (zenon_L140_); trivial. % 11.15/11.33 exact (zenon_H19f zenon_H114). % 11.15/11.33 apply (zenon_L426_); trivial. % 11.15/11.33 (* end of lemma zenon_L759_ *) % 11.15/11.33 assert (zenon_L760_ : (((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)))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (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 (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e2)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> False). % 11.15/11.33 do 0 intro. intros zenon_H20f zenon_He5 zenon_H1f0 zenon_H2d zenon_H19c zenon_H1b9 zenon_H41 zenon_H175 zenon_He9 zenon_Hdc zenon_H84 zenon_Hf5 zenon_H1f4 zenon_H1f9 zenon_H22 zenon_H162 zenon_H1ca zenon_H121 zenon_H186 zenon_Ha5 zenon_H119 zenon_H15e zenon_H138 zenon_H19e zenon_H14e zenon_H149 zenon_Hcc zenon_H19f zenon_H1cc zenon_H23 zenon_H81 zenon_H13b zenon_H158 zenon_H9c zenon_H85 zenon_H68 zenon_H169 zenon_H15a zenon_H123 zenon_Ha9. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_Hea | zenon_intro zenon_H210 ]. % 11.15/11.33 apply (zenon_L352_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H211 ]. % 11.15/11.33 apply (zenon_L439_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H10d | zenon_intro zenon_Hcb ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ]. % 11.15/11.33 apply (zenon_L404_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ]. % 11.15/11.33 apply (zenon_L425_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ]. % 11.15/11.33 apply (zenon_L252_); trivial. % 11.15/11.33 apply (zenon_L759_); trivial. % 11.15/11.33 apply (zenon_L359_); trivial. % 11.15/11.33 (* end of lemma zenon_L760_ *) % 11.15/11.33 assert (zenon_L761_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e1)) = (op (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 (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((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))))) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e0)) -> False). % 11.15/11.33 do 0 intro. intros zenon_H9e zenon_H155 zenon_H133 zenon_Ha9 zenon_H123 zenon_H15a zenon_H169 zenon_H85 zenon_H158 zenon_H13b zenon_H81 zenon_H23 zenon_H1cc zenon_H19f zenon_Hcc zenon_H149 zenon_H14e zenon_H19e zenon_H138 zenon_H15e zenon_H119 zenon_Ha5 zenon_H186 zenon_H121 zenon_H1ca zenon_H162 zenon_H22 zenon_H1f9 zenon_H1f4 zenon_Hf5 zenon_H84 zenon_Hdc zenon_He9 zenon_H175 zenon_H41 zenon_H1b9 zenon_H19c zenon_H2d zenon_H1f0 zenon_He5 zenon_H20f zenon_H109 zenon_H68. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.33 apply (zenon_L414_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.33 apply (zenon_L427_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.33 apply (zenon_L760_); trivial. % 11.15/11.33 apply (zenon_L129_); trivial. % 11.15/11.33 (* end of lemma zenon_L761_ *) % 11.15/11.33 assert (zenon_L762_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e2)) = (op (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)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (((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)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.15/11.33 do 0 intro. intros zenon_H13b zenon_H149 zenon_H14e zenon_H19e zenon_Hbe zenon_H3d zenon_H19c zenon_H1b9 zenon_H41 zenon_H175 zenon_H1cc zenon_He9 zenon_H162 zenon_H22 zenon_H23 zenon_H1f9 zenon_H109 zenon_H140 zenon_Hdc zenon_H15e zenon_H123 zenon_Hec zenon_H166 zenon_H16b zenon_H19f zenon_H78 zenon_H69 zenon_H186 zenon_H70 zenon_H1c5 zenon_Ha5 zenon_H119 zenon_H81 zenon_Ha9 zenon_Hf5 zenon_H15a zenon_H169 zenon_H158 zenon_H95 zenon_H138. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.15/11.33 apply (zenon_L292_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.15/11.33 exact (zenon_H1cc zenon_Hca). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.33 exact (zenon_H14e zenon_H103). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.33 apply (zenon_L389_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.33 apply (zenon_L139_); trivial. % 11.15/11.33 exact (zenon_H19f zenon_H114). % 11.15/11.33 apply (zenon_L436_); trivial. % 11.15/11.33 (* end of lemma zenon_L762_ *) % 11.15/11.33 assert (zenon_L763_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.33 do 0 intro. intros zenon_H19e zenon_H14e zenon_H1f3 zenon_H9b zenon_Hdd zenon_H1ae zenon_Hba zenon_H6f zenon_H1a9 zenon_Hb9 zenon_H78 zenon_H165 zenon_H16b zenon_H141 zenon_H169 zenon_H8d zenon_H69. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.33 exact (zenon_H14e zenon_H103). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.33 exact (zenon_H1f3 zenon_H130). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.33 apply (zenon_L145_); trivial. % 11.15/11.33 apply (zenon_L589_); trivial. % 11.15/11.33 (* end of lemma zenon_L763_ *) % 11.15/11.33 assert (zenon_L764_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.33 do 0 intro. intros zenon_H9e zenon_H69 zenon_H169 zenon_H141 zenon_H16b zenon_H165 zenon_H78 zenon_Hb9 zenon_H1a9 zenon_H6f zenon_Hba zenon_H1ae zenon_Hdd zenon_H9b zenon_H1f3 zenon_H14e zenon_H19e zenon_H138 zenon_H14f zenon_H158 zenon_H155 zenon_H1e zenon_Hf0 zenon_H15a zenon_H114 zenon_H75. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.33 apply (zenon_L763_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.33 apply (zenon_L605_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.33 apply (zenon_L606_); trivial. % 11.15/11.33 apply (zenon_L586_); trivial. % 11.15/11.33 (* end of lemma zenon_L764_ *) % 11.15/11.33 assert (zenon_L765_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.15/11.33 do 0 intro. intros zenon_H19e zenon_H14e zenon_H1f3 zenon_Ha5 zenon_H66 zenon_Hb9 zenon_H108. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.33 exact (zenon_H14e zenon_H103). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.33 exact (zenon_H1f3 zenon_H130). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.33 apply (zenon_L147_); trivial. % 11.15/11.33 apply (zenon_L227_); trivial. % 11.15/11.33 (* end of lemma zenon_L765_ *) % 11.15/11.33 assert (zenon_L766_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (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) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.15/11.33 do 0 intro. intros zenon_H19e zenon_H14e zenon_H1f3 zenon_H1b9 zenon_H70 zenon_H6f zenon_H9e zenon_H109 zenon_H84 zenon_H75 zenon_H11c zenon_He9 zenon_Ha5 zenon_H15e zenon_H175 zenon_Hdc zenon_H2d zenon_H66 zenon_Hf5 zenon_H15a zenon_H163 zenon_H138 zenon_H169 zenon_H158 zenon_H14f. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.33 exact (zenon_H14e zenon_H103). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.33 exact (zenon_H1f3 zenon_H130). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.33 apply (zenon_L147_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.15/11.33 apply (zenon_L593_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.15/11.33 apply (zenon_L273_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.15/11.33 apply (zenon_L147_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.33 apply (zenon_L294_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.33 apply (zenon_L213_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.33 apply (zenon_L66_); trivial. % 11.15/11.33 apply (zenon_L610_); trivial. % 11.15/11.33 (* end of lemma zenon_L766_ *) % 11.15/11.33 assert (zenon_L767_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.33 do 0 intro. intros zenon_H19e zenon_H14e zenon_H1f3 zenon_Hdd zenon_H15e zenon_H75 zenon_H84 zenon_H9b zenon_H109 zenon_Ha5 zenon_H9e zenon_H2d zenon_H163 zenon_H66 zenon_Hf5 zenon_H6f zenon_H70. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.33 exact (zenon_H14e zenon_H103). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.33 exact (zenon_H1f3 zenon_H130). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.33 apply (zenon_L145_); trivial. % 11.15/11.33 apply (zenon_L593_); trivial. % 11.15/11.33 (* end of lemma zenon_L767_ *) % 11.15/11.33 assert (zenon_L768_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.33 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_H11c zenon_Hcc zenon_H19e zenon_H14e zenon_H1f3 zenon_Hdd zenon_H15e zenon_H75 zenon_H84 zenon_H9b zenon_H109 zenon_Ha5 zenon_H9e zenon_H2d zenon_H163 zenon_H66 zenon_Hf5 zenon_H70. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.33 exact (zenon_He6 zenon_H1f). % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.33 apply (zenon_L272_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.33 apply (zenon_L207_); trivial. % 11.15/11.33 apply (zenon_L767_); trivial. % 11.15/11.33 (* end of lemma zenon_L768_ *) % 11.15/11.33 assert (zenon_L769_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e2)) = (e3)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.33 do 0 intro. intros zenon_H1fc zenon_H31 zenon_H12c zenon_H56 zenon_Hdc zenon_Hd6 zenon_He6 zenon_H11c zenon_Hcc zenon_H19e zenon_H14e zenon_H1f3 zenon_Hdd zenon_H15e zenon_H75 zenon_H84 zenon_H9b zenon_H109 zenon_Ha5 zenon_H9e zenon_H2d zenon_H66 zenon_Hf5 zenon_H70. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.33 apply (zenon_L88_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.33 exact (zenon_H56 zenon_H24). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.33 apply (zenon_L599_); trivial. % 11.15/11.33 apply (zenon_L768_); trivial. % 11.15/11.33 (* end of lemma zenon_L769_ *) % 11.15/11.33 assert (zenon_L770_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.15/11.33 do 0 intro. intros zenon_H1da zenon_H88 zenon_He6 zenon_H66 zenon_Hec zenon_H180 zenon_H81 zenon_H11f zenon_H38 zenon_H149 zenon_H14b zenon_H22 zenon_H75 zenon_H84 zenon_H162 zenon_H11c zenon_Ha5 zenon_H9e zenon_Hdd zenon_H1f3 zenon_H14e zenon_H19e zenon_H31 zenon_H109. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.33 apply (zenon_L465_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.33 exact (zenon_He6 zenon_H1f). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.33 apply (zenon_L398_); trivial. % 11.15/11.33 apply (zenon_L747_); trivial. % 11.15/11.33 (* end of lemma zenon_L770_ *) % 11.15/11.33 assert (zenon_L771_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.15/11.33 do 0 intro. intros zenon_H219 zenon_H15a zenon_H155 zenon_H158 zenon_H14f zenon_H138 zenon_Haa zenon_H24d zenon_Hfd zenon_H70 zenon_Hf5 zenon_H15e zenon_Hcc zenon_Hd6 zenon_H56 zenon_H12c zenon_H1fc zenon_H169 zenon_He9 zenon_H1b9 zenon_H109 zenon_H19e zenon_H14e zenon_H1f3 zenon_H9e zenon_Ha5 zenon_H11c zenon_H162 zenon_H84 zenon_H75 zenon_H22 zenon_H14b zenon_H149 zenon_H38 zenon_H81 zenon_H180 zenon_Hec zenon_He6 zenon_H88 zenon_H1da zenon_H66 zenon_Hdd zenon_H31 zenon_H2d. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.33 apply (zenon_L8_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ]. % 11.15/11.33 apply (zenon_L627_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ]. % 11.15/11.33 apply (zenon_L336_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ]. % 11.15/11.33 exact (zenon_Haa zenon_Ha9). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.33 exact (zenon_H14e zenon_H103). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.33 exact (zenon_H1f3 zenon_H130). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.33 apply (zenon_L147_); trivial. % 11.15/11.33 apply (zenon_L628_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.33 apply (zenon_L88_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.33 exact (zenon_H56 zenon_H24). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.33 apply (zenon_L599_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.33 exact (zenon_He6 zenon_H1f). % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.33 apply (zenon_L272_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.33 apply (zenon_L207_); trivial. % 11.15/11.33 apply (zenon_L766_); trivial. % 11.15/11.33 apply (zenon_L73_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.33 apply (zenon_L253_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.33 apply (zenon_L8_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ]. % 11.15/11.33 apply (zenon_L627_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ]. % 11.15/11.33 apply (zenon_L336_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ]. % 11.15/11.33 exact (zenon_Haa zenon_Ha9). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.33 exact (zenon_H14e zenon_H103). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.33 exact (zenon_H1f3 zenon_H130). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.33 apply (zenon_L145_); trivial. % 11.15/11.33 apply (zenon_L628_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.33 apply (zenon_L769_); trivial. % 11.15/11.33 apply (zenon_L73_); trivial. % 11.15/11.33 apply (zenon_L75_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.33 apply (zenon_L770_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.33 apply (zenon_L98_); trivial. % 11.15/11.33 apply (zenon_L301_); trivial. % 11.15/11.33 (* end of lemma zenon_L771_ *) % 11.15/11.33 assert (zenon_L772_ : (((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) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.15/11.33 do 0 intro. intros zenon_H200 zenon_Hc5 zenon_H56 zenon_H70 zenon_Hf5 zenon_H66 zenon_H78 zenon_H165 zenon_H16b zenon_H169 zenon_H8d zenon_H69 zenon_H101 zenon_Ha5 zenon_H15e zenon_H2d zenon_H11c zenon_He6 zenon_Hd6 zenon_Hbc zenon_H125 zenon_H150 zenon_H23 zenon_H12d zenon_Haa zenon_H1a6. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.33 apply (zenon_L127_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.33 exact (zenon_H56 zenon_H24). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.33 apply (zenon_L618_); trivial. % 11.15/11.33 apply (zenon_L623_); trivial. % 11.15/11.33 (* end of lemma zenon_L772_ *) % 11.15/11.33 assert (zenon_L773_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((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) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.15/11.33 do 0 intro. intros zenon_H1ae zenon_Hdd zenon_H1da zenon_H88 zenon_Hec zenon_H180 zenon_H81 zenon_H38 zenon_H149 zenon_H14b zenon_H22 zenon_H75 zenon_H84 zenon_H162 zenon_H9e zenon_H109 zenon_H1b9 zenon_He9 zenon_H1fc zenon_H12c zenon_Hcc zenon_Hfd zenon_H24d zenon_H138 zenon_H14f zenon_H158 zenon_H155 zenon_H15a zenon_H219 zenon_H1e zenon_H32 zenon_Hb9 zenon_H1f3 zenon_H14e zenon_H19e zenon_H200 zenon_Hc5 zenon_H56 zenon_H70 zenon_Hf5 zenon_H66 zenon_H78 zenon_H165 zenon_H16b zenon_H169 zenon_H8d zenon_H69 zenon_Ha5 zenon_H15e zenon_H2d zenon_H11c zenon_He6 zenon_Hd6 zenon_Hbc zenon_H125 zenon_H150 zenon_H23 zenon_H12d zenon_Haa zenon_H1a6. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ]. % 11.15/11.33 apply (zenon_L771_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ]. % 11.15/11.33 apply (zenon_L158_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ]. % 11.15/11.33 apply (zenon_L765_); trivial. % 11.15/11.33 apply (zenon_L772_); trivial. % 11.15/11.33 (* end of lemma zenon_L773_ *) % 11.15/11.33 assert (zenon_L774_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((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)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (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) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.33 do 0 intro. intros zenon_H1a6 zenon_Haa zenon_H12d zenon_H23 zenon_H150 zenon_H125 zenon_Hbc zenon_Hd6 zenon_He6 zenon_H2d zenon_H15e zenon_Ha5 zenon_H69 zenon_H169 zenon_H16b zenon_H165 zenon_H78 zenon_H66 zenon_Hf5 zenon_H70 zenon_H56 zenon_Hc5 zenon_H200 zenon_H19e zenon_H14e zenon_H1f3 zenon_Hb9 zenon_H32 zenon_H1e zenon_H219 zenon_H15a zenon_H155 zenon_H158 zenon_H14f zenon_H138 zenon_H24d zenon_Hfd zenon_Hcc zenon_H12c zenon_H1fc zenon_He9 zenon_H1b9 zenon_H109 zenon_H9e zenon_H22 zenon_H14b zenon_H149 zenon_H38 zenon_H81 zenon_H180 zenon_Hec zenon_H88 zenon_H1da zenon_Hdd zenon_H1ae zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_H114 zenon_H75. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.33 apply (zenon_L773_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.33 apply (zenon_L322_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.33 apply (zenon_L33_); trivial. % 11.15/11.33 apply (zenon_L586_); trivial. % 11.15/11.33 (* end of lemma zenon_L774_ *) % 11.15/11.33 assert (zenon_L775_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.15/11.33 do 0 intro. intros zenon_H180 zenon_H14f zenon_H158 zenon_H169 zenon_H138 zenon_H15a zenon_He9 zenon_H1b9 zenon_H22 zenon_H81 zenon_H31 zenon_H200 zenon_H104 zenon_H80 zenon_H70 zenon_Hf5 zenon_H2d zenon_H9e zenon_H109 zenon_H84 zenon_H75 zenon_H15e zenon_Hdd zenon_H11c zenon_He6 zenon_Hd6 zenon_H56 zenon_H12c zenon_H1fc zenon_H1a9 zenon_H1e zenon_H38 zenon_H14b zenon_H19e zenon_H14e zenon_H1f3 zenon_Ha5 zenon_H66 zenon_Hb9. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.33 apply (zenon_L8_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.33 apply (zenon_L597_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.33 apply (zenon_L154_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.33 exact (zenon_H56 zenon_H24). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.33 apply (zenon_L88_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.33 exact (zenon_H56 zenon_H24). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.33 apply (zenon_L599_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.33 exact (zenon_He6 zenon_H1f). % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.33 apply (zenon_L272_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.33 apply (zenon_L316_); trivial. % 11.15/11.33 apply (zenon_L766_); trivial. % 11.15/11.33 apply (zenon_L328_); trivial. % 11.15/11.33 apply (zenon_L73_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.33 apply (zenon_L253_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.33 apply (zenon_L8_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.33 apply (zenon_L597_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.33 apply (zenon_L154_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.33 exact (zenon_H56 zenon_H24). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.33 apply (zenon_L88_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.33 exact (zenon_H56 zenon_H24). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.33 apply (zenon_L599_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.33 exact (zenon_He6 zenon_H1f). % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.33 apply (zenon_L272_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.33 apply (zenon_L316_); trivial. % 11.15/11.33 apply (zenon_L767_); trivial. % 11.15/11.33 apply (zenon_L328_); trivial. % 11.15/11.33 apply (zenon_L73_); trivial. % 11.15/11.33 apply (zenon_L765_); trivial. % 11.15/11.33 (* end of lemma zenon_L775_ *) % 11.15/11.33 assert (zenon_L776_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((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) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.33 do 0 intro. intros zenon_H1ae zenon_H66 zenon_Ha5 zenon_H1f3 zenon_H14e zenon_H19e zenon_H14b zenon_H38 zenon_H1e zenon_H1fc zenon_H12c zenon_H56 zenon_Hd6 zenon_He6 zenon_H11c zenon_Hdd zenon_H15e zenon_H75 zenon_H84 zenon_H109 zenon_H9e zenon_H2d zenon_Hf5 zenon_H70 zenon_H80 zenon_H104 zenon_H200 zenon_H81 zenon_H22 zenon_H1b9 zenon_He9 zenon_H15a zenon_H138 zenon_H158 zenon_H14f zenon_H180 zenon_H6f zenon_H1a9 zenon_H114 zenon_Hb9 zenon_H78 zenon_H165 zenon_H16b zenon_H141 zenon_H169 zenon_H8d zenon_H69. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ]. % 11.15/11.33 apply (zenon_L775_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ]. % 11.15/11.33 apply (zenon_L449_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ]. % 11.15/11.33 apply (zenon_L227_); trivial. % 11.15/11.33 apply (zenon_L588_); trivial. % 11.15/11.33 (* end of lemma zenon_L776_ *) % 11.15/11.33 assert (zenon_L777_ : ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.33 do 0 intro. intros zenon_H9b zenon_H162 zenon_H69 zenon_H8d zenon_H169 zenon_H16b zenon_H165 zenon_H78 zenon_Hb9 zenon_H114 zenon_H1a9 zenon_H180 zenon_H14f zenon_H158 zenon_H138 zenon_H15a zenon_He9 zenon_H1b9 zenon_H22 zenon_H81 zenon_H200 zenon_H104 zenon_H80 zenon_H2d zenon_H9e zenon_H109 zenon_H84 zenon_H75 zenon_H15e zenon_Hdd zenon_H11c zenon_He6 zenon_Hd6 zenon_H56 zenon_H12c zenon_H1fc zenon_H1e zenon_H38 zenon_H14b zenon_H19e zenon_H14e zenon_H1f3 zenon_Ha5 zenon_H1ae zenon_H66 zenon_Hf5 zenon_H6f zenon_H70. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.33 apply (zenon_L587_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.33 apply (zenon_L776_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.33 apply (zenon_L66_); trivial. % 11.15/11.33 apply (zenon_L22_); trivial. % 11.15/11.33 (* end of lemma zenon_L777_ *) % 11.15/11.33 assert (zenon_L778_ : (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((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)) = (e0))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.33 do 0 intro. intros zenon_H70 zenon_H6f zenon_Hf5 zenon_H66 zenon_H1ae zenon_Ha5 zenon_H1f3 zenon_H14e zenon_H19e zenon_H14b zenon_H38 zenon_H1fc zenon_H12c zenon_H56 zenon_Hd6 zenon_He6 zenon_H11c zenon_Hdd zenon_H15e zenon_H84 zenon_H109 zenon_H9e zenon_H2d zenon_H80 zenon_H104 zenon_H200 zenon_H81 zenon_H22 zenon_H1b9 zenon_He9 zenon_H180 zenon_H1a9 zenon_Hb9 zenon_H78 zenon_H165 zenon_H16b zenon_H169 zenon_H69 zenon_H162 zenon_H9b zenon_H138 zenon_H14f zenon_H158 zenon_H155 zenon_H1e zenon_Hf0 zenon_H15a zenon_H75. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.33 exact (zenon_H14e zenon_H103). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.33 exact (zenon_H1f3 zenon_H130). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.33 apply (zenon_L145_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.33 apply (zenon_L777_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.33 apply (zenon_L605_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.33 apply (zenon_L606_); trivial. % 11.15/11.33 apply (zenon_L586_); trivial. % 11.15/11.33 (* end of lemma zenon_L778_ *) % 11.15/11.33 assert (zenon_L779_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.15/11.33 do 0 intro. intros zenon_H166 zenon_H1da zenon_H88 zenon_Hec zenon_H149 zenon_Hcc zenon_Hfd zenon_H24d zenon_H219 zenon_H32 zenon_Hc5 zenon_Hbc zenon_H125 zenon_H23 zenon_H12d zenon_Haa zenon_H1a6 zenon_H75 zenon_H15a zenon_H1e zenon_H155 zenon_H158 zenon_H14f zenon_H138 zenon_H9b zenon_H162 zenon_H69 zenon_H169 zenon_H16b zenon_H78 zenon_Hb9 zenon_H1a9 zenon_H180 zenon_He9 zenon_H1b9 zenon_H22 zenon_H81 zenon_H200 zenon_H104 zenon_H80 zenon_H2d zenon_H9e zenon_H109 zenon_H84 zenon_H15e zenon_Hdd zenon_H11c zenon_He6 zenon_Hd6 zenon_H56 zenon_H12c zenon_H1fc zenon_H38 zenon_H14b zenon_H19e zenon_H14e zenon_H1f3 zenon_Ha5 zenon_H1ae zenon_H66 zenon_Hf5 zenon_H6f zenon_H70 zenon_H165. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.33 exact (zenon_H14e zenon_H103). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.33 exact (zenon_H1f3 zenon_H130). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.33 apply (zenon_L147_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.33 apply (zenon_L774_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.33 apply (zenon_L593_); trivial. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.33 apply (zenon_L778_); trivial. % 11.15/11.33 exact (zenon_H165 zenon_H68). % 11.15/11.33 (* end of lemma zenon_L779_ *) % 11.15/11.33 assert (zenon_L780_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.15/11.33 do 0 intro. intros zenon_H19e zenon_H14e zenon_H1f3 zenon_H1b9 zenon_H84 zenon_H109 zenon_H156 zenon_H9e zenon_H11c zenon_He9 zenon_Ha5 zenon_H66 zenon_H78 zenon_H165 zenon_H14f zenon_H158 zenon_H169 zenon_H138 zenon_H163 zenon_H15a zenon_H75 zenon_H69 zenon_H101. % 11.15/11.33 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.33 exact (zenon_H14e zenon_H103). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.33 exact (zenon_H1f3 zenon_H130). % 11.15/11.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.33 apply (zenon_L147_); trivial. % 11.15/11.33 apply (zenon_L611_); trivial. % 11.15/11.33 (* end of lemma zenon_L780_ *) % 11.15/11.33 assert (zenon_L781_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.15/11.33 do 0 intro. intros zenon_H1da zenon_H88 zenon_He6 zenon_Hec zenon_H180 zenon_H69 zenon_H15a zenon_H138 zenon_H169 zenon_H158 zenon_H14f zenon_H165 zenon_H78 zenon_He9 zenon_H109 zenon_H1b9 zenon_H12a zenon_H80 zenon_H56 zenon_H11f zenon_H2d zenon_H1fc zenon_H38 zenon_H149 zenon_H14b zenon_H22 zenon_H75 zenon_H84 zenon_H162 zenon_H11c zenon_H9e zenon_Hdd zenon_H19e zenon_H14e zenon_H1f3 zenon_Ha5 zenon_H66 zenon_Hb9. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.34 apply (zenon_L465_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.34 exact (zenon_He6 zenon_H1f). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.34 apply (zenon_L398_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.34 apply (zenon_L291_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.34 apply (zenon_L296_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.34 apply (zenon_L294_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.34 apply (zenon_L269_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.34 exact (zenon_H56 zenon_H24). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.34 apply (zenon_L460_); trivial. % 11.15/11.34 apply (zenon_L780_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.34 apply (zenon_L253_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.34 apply (zenon_L746_); trivial. % 11.15/11.34 apply (zenon_L765_); trivial. % 11.15/11.34 (* end of lemma zenon_L781_ *) % 11.15/11.34 assert (zenon_L782_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H180 zenon_H1e zenon_H11c zenon_H22 zenon_H109 zenon_He3 zenon_H19e zenon_H14e zenon_H1f3 zenon_Ha5 zenon_H66 zenon_Hb9. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.34 apply (zenon_L151_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.34 apply (zenon_L253_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.34 apply (zenon_L206_); trivial. % 11.15/11.34 apply (zenon_L765_); trivial. % 11.15/11.34 (* end of lemma zenon_L782_ *) % 11.15/11.34 assert (zenon_L783_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((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)) = (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 (e3) (e0)) = (op (e3) (e3)))) -> (~((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 (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H219 zenon_H22 zenon_Hb9 zenon_H1f3 zenon_H14e zenon_H19e zenon_Hdd zenon_H9e zenon_H162 zenon_H84 zenon_H75 zenon_H14b zenon_H149 zenon_H38 zenon_H166 zenon_Hc5 zenon_He5 zenon_H69 zenon_H15a zenon_H138 zenon_H169 zenon_H158 zenon_H14f zenon_H78 zenon_He9 zenon_H109 zenon_H1b9 zenon_H165 zenon_H180 zenon_Hec zenon_H88 zenon_H1da zenon_H2d zenon_He3 zenon_Hd6 zenon_He6 zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H1a9. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.34 apply (zenon_L782_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.34 apply (zenon_L465_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.34 exact (zenon_He6 zenon_H1f). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.34 apply (zenon_L398_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.34 apply (zenon_L291_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.34 apply (zenon_L296_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.34 apply (zenon_L294_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.34 exact (zenon_H14e zenon_H103). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.34 exact (zenon_H1f3 zenon_H130). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.34 apply (zenon_L147_); trivial. % 11.15/11.34 apply (zenon_L625_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.34 apply (zenon_L81_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.34 apply (zenon_L746_); trivial. % 11.15/11.34 apply (zenon_L765_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.34 apply (zenon_L467_); trivial. % 11.15/11.34 apply (zenon_L614_); trivial. % 11.15/11.34 (* end of lemma zenon_L783_ *) % 11.15/11.34 assert (zenon_L784_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (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 (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H219 zenon_He3 zenon_Hb9 zenon_H1f3 zenon_H14e zenon_H19e zenon_H9e zenon_H162 zenon_H84 zenon_H75 zenon_H22 zenon_H14b zenon_H149 zenon_H38 zenon_H1fc zenon_H2d zenon_H56 zenon_H80 zenon_H12a zenon_H1b9 zenon_H109 zenon_He9 zenon_H78 zenon_H165 zenon_H14f zenon_H158 zenon_H169 zenon_H138 zenon_H15a zenon_H69 zenon_H180 zenon_Hec zenon_H88 zenon_H1da zenon_Hdd zenon_Hd6 zenon_He6 zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H1a9. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.34 apply (zenon_L782_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.34 apply (zenon_L781_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.34 apply (zenon_L98_); trivial. % 11.15/11.34 apply (zenon_L614_); trivial. % 11.15/11.34 (* end of lemma zenon_L784_ *) % 11.15/11.34 assert (zenon_L785_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H19e zenon_H14e zenon_H1f3 zenon_Hdd zenon_H9e zenon_H149 zenon_Hc4 zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_H75. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.34 exact (zenon_H14e zenon_H103). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.34 exact (zenon_H1f3 zenon_H130). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.34 apply (zenon_L145_); trivial. % 11.15/11.34 apply (zenon_L634_); trivial. % 11.15/11.34 (* end of lemma zenon_L785_ *) % 11.15/11.34 assert (zenon_L786_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e3)) = (e2))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H19e zenon_H8d zenon_H125 zenon_H1f3 zenon_H9b zenon_Hdd zenon_H19f. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.34 apply (zenon_L84_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.34 exact (zenon_H1f3 zenon_H130). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.34 apply (zenon_L145_); trivial. % 11.15/11.34 exact (zenon_H19f zenon_H114). % 11.15/11.34 (* end of lemma zenon_L786_ *) % 11.15/11.34 assert (zenon_L787_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((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 (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e1)) -> False). % 11.15/11.34 do 0 intro. intros zenon_H9e zenon_H19f zenon_Hdd zenon_H1f3 zenon_H125 zenon_H19e zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_Ha5 zenon_H6e. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.34 apply (zenon_L786_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.34 apply (zenon_L322_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.34 apply (zenon_L33_); trivial. % 11.15/11.34 apply (zenon_L125_); trivial. % 11.15/11.34 (* end of lemma zenon_L787_ *) % 11.15/11.34 assert (zenon_L788_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((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 (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H15e zenon_H1f zenon_Hc5 zenon_H11f zenon_H132 zenon_H66 zenon_Hf5 zenon_H9e zenon_H19f zenon_Hdd zenon_H1f3 zenon_H125 zenon_H19e zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_Ha5. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.34 apply (zenon_L310_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.34 apply (zenon_L482_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.34 apply (zenon_L66_); trivial. % 11.15/11.34 apply (zenon_L787_); trivial. % 11.15/11.34 (* end of lemma zenon_L788_ *) % 11.15/11.34 assert (zenon_L789_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H19e zenon_H8d zenon_H125 zenon_H1f3 zenon_Ha5 zenon_H66 zenon_H19f. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.34 apply (zenon_L84_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.34 exact (zenon_H1f3 zenon_H130). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.34 apply (zenon_L147_); trivial. % 11.15/11.34 exact (zenon_H19f zenon_H114). % 11.15/11.34 (* end of lemma zenon_L789_ *) % 11.15/11.34 assert (zenon_L790_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((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 (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H15e zenon_H199 zenon_Hcc zenon_Hc5 zenon_Hd6 zenon_H2d zenon_H163 zenon_H66 zenon_Hf5 zenon_H9e zenon_H19f zenon_Hdd zenon_H1f3 zenon_H125 zenon_H19e zenon_H11c zenon_H162 zenon_H9b zenon_H84 zenon_Ha5. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.34 apply (zenon_L658_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.34 apply (zenon_L213_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.34 apply (zenon_L66_); trivial. % 11.15/11.34 apply (zenon_L787_); trivial. % 11.15/11.34 (* end of lemma zenon_L790_ *) % 11.15/11.34 assert (zenon_L791_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e2) (e1)) = (e2))) -> (~((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)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> False). % 11.15/11.34 do 0 intro. intros zenon_H9e zenon_Hdd zenon_H9b zenon_H1f3 zenon_H125 zenon_H19e zenon_H162 zenon_H1ca zenon_H19f zenon_H121 zenon_H11c zenon_Ha5 zenon_H119 zenon_H186 zenon_Hf0. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.34 apply (zenon_L786_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.34 apply (zenon_L322_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.34 apply (zenon_L429_); trivial. % 11.15/11.34 apply (zenon_L417_); trivial. % 11.15/11.34 (* end of lemma zenon_L791_ *) % 11.15/11.34 assert (zenon_L792_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H19e zenon_H109 zenon_H80 zenon_H1f3 zenon_Ha5 zenon_H66 zenon_H19f. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.34 apply (zenon_L109_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.34 exact (zenon_H1f3 zenon_H130). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.34 apply (zenon_L147_); trivial. % 11.15/11.34 exact (zenon_H19f zenon_H114). % 11.15/11.34 (* end of lemma zenon_L792_ *) % 11.15/11.34 assert (zenon_L793_ : (((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 (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((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)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e3)) = (e1))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H16f zenon_H88 zenon_H219 zenon_H1d zenon_H2d zenon_H1da zenon_H15e zenon_H3c zenon_H41 zenon_H198 zenon_H32 zenon_Hf7 zenon_H16b zenon_H155 zenon_H265 zenon_Hf5 zenon_H9e zenon_H19f zenon_Hdd zenon_H1f3 zenon_H125 zenon_H19e zenon_H162 zenon_H84 zenon_H23 zenon_H109 zenon_H1b9 zenon_He9 zenon_H119 zenon_H121 zenon_H1ca zenon_H180 zenon_Hec zenon_Hd6 zenon_Hc5 zenon_H11c zenon_Ha5 zenon_Hcc zenon_H66 zenon_H199. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.34 apply (zenon_L447_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.34 apply (zenon_L666_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.34 apply (zenon_L792_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.34 apply (zenon_L667_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.34 apply (zenon_L269_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.34 apply (zenon_L98_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.34 apply (zenon_L158_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.34 apply (zenon_L659_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.34 apply (zenon_L388_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.34 apply (zenon_L310_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.34 apply (zenon_L669_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.34 apply (zenon_L66_); trivial. % 11.15/11.34 apply (zenon_L787_); trivial. % 11.15/11.34 apply (zenon_L406_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.34 apply (zenon_L398_); trivial. % 11.15/11.34 apply (zenon_L658_); trivial. % 11.15/11.34 (* end of lemma zenon_L793_ *) % 11.15/11.34 assert (zenon_L794_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((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) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False). % 11.15/11.34 do 0 intro. intros zenon_H1b9 zenon_H109 zenon_He3 zenon_H11c zenon_He9 zenon_Ha5 zenon_H15e zenon_Hf7 zenon_H199 zenon_H32 zenon_H1e zenon_H198 zenon_H66 zenon_Hf5 zenon_H170 zenon_H150 zenon_H138 zenon_H16b zenon_H140 zenon_H132 zenon_H89. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.15/11.34 apply (zenon_L206_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.15/11.34 apply (zenon_L273_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.15/11.34 apply (zenon_L147_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.34 apply (zenon_L175_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.34 apply (zenon_L178_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.34 apply (zenon_L66_); trivial. % 11.15/11.34 apply (zenon_L179_); trivial. % 11.15/11.34 (* end of lemma zenon_L794_ *) % 11.15/11.34 assert (zenon_L795_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((e1) = (e2))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H15e zenon_H155 zenon_H16b zenon_Hf7 zenon_H199 zenon_H32 zenon_H1e zenon_H198 zenon_H66 zenon_Hf5 zenon_H119 zenon_H149 zenon_H101 zenon_H11c zenon_H121 zenon_H19f zenon_Ha5. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.34 apply (zenon_L120_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.34 apply (zenon_L178_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.34 apply (zenon_L66_); trivial. % 11.15/11.34 apply (zenon_L400_); trivial. % 11.15/11.34 (* end of lemma zenon_L795_ *) % 11.15/11.34 assert (zenon_L796_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((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)))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H219 zenon_H32 zenon_H16b zenon_H155 zenon_H170 zenon_H150 zenon_H138 zenon_H140 zenon_H149 zenon_Hf5 zenon_H132 zenon_H198 zenon_H38 zenon_H199 zenon_Hf7 zenon_H169 zenon_H15e zenon_H81 zenon_H3c zenon_H14b zenon_H2d zenon_H180 zenon_H1ca zenon_H19f zenon_H121 zenon_H119 zenon_H66 zenon_He9 zenon_H41 zenon_H1b9 zenon_H11c zenon_H22 zenon_H109 zenon_He3 zenon_Ha5. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.34 exact (zenon_H3c zenon_H37). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.34 apply (zenon_L794_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.34 apply (zenon_L183_); trivial. % 11.15/11.34 apply (zenon_L795_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.34 apply (zenon_L670_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.34 apply (zenon_L467_); trivial. % 11.15/11.34 apply (zenon_L671_); trivial. % 11.15/11.34 (* end of lemma zenon_L796_ *) % 11.15/11.34 assert (zenon_L797_ : (((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)) = (e1))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H198 zenon_H2d zenon_H31 zenon_H199 zenon_H66 zenon_Hf7 zenon_H156 zenon_H169. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ]. % 11.15/11.34 apply (zenon_L301_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ]. % 11.15/11.34 exact (zenon_H199 zenon_H6f). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ]. % 11.15/11.34 apply (zenon_L176_); trivial. % 11.15/11.34 apply (zenon_L376_); trivial. % 11.15/11.34 (* end of lemma zenon_L797_ *) % 11.15/11.34 assert (zenon_L798_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H219 zenon_H38 zenon_H37 zenon_H169 zenon_Hf7 zenon_H199 zenon_H198 zenon_Hec zenon_He5 zenon_H88 zenon_H1da zenon_H66 zenon_Hdd zenon_H31 zenon_H2d. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.34 apply (zenon_L8_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.34 apply (zenon_L465_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.34 apply (zenon_L56_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.34 apply (zenon_L398_); trivial. % 11.15/11.34 apply (zenon_L797_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.34 apply (zenon_L98_); trivial. % 11.15/11.34 apply (zenon_L301_); trivial. % 11.15/11.34 (* end of lemma zenon_L798_ *) % 11.15/11.34 assert (zenon_L799_ : (((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) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.15/11.34 do 0 intro. intros zenon_H20c zenon_Hc5 zenon_H150 zenon_Hc3 zenon_H1f0 zenon_H104 zenon_H103 zenon_H1d zenon_H37. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ]. % 11.15/11.34 apply (zenon_L127_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ]. % 11.15/11.34 apply (zenon_L305_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ]. % 11.15/11.34 apply (zenon_L74_); trivial. % 11.15/11.34 apply (zenon_L348_); trivial. % 11.15/11.34 (* end of lemma zenon_L799_ *) % 11.15/11.34 assert (zenon_L800_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((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 (e1) (e3)) = (e1))) -> False). % 11.15/11.34 do 0 intro. intros zenon_Hd6 zenon_H156 zenon_H22 zenon_H11f zenon_H37 zenon_H1d zenon_H103 zenon_H104 zenon_H1f0 zenon_H150 zenon_Hc5 zenon_H20c zenon_H199. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.34 apply (zenon_L310_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.34 apply (zenon_L380_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.34 apply (zenon_L799_); trivial. % 11.15/11.34 exact (zenon_H199 zenon_H6f). % 11.15/11.34 (* end of lemma zenon_L800_ *) % 11.15/11.34 assert (zenon_L801_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((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 (e1) (e3)) = (e1))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H180 zenon_H11c zenon_H19f zenon_Hdd zenon_H1f3 zenon_H125 zenon_H19e zenon_Hd6 zenon_H156 zenon_H22 zenon_H11f zenon_H37 zenon_H1d zenon_H104 zenon_H1f0 zenon_H150 zenon_Hc5 zenon_H20c zenon_H199 zenon_Ha5 zenon_H149 zenon_H172 zenon_H31 zenon_H109. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.34 apply (zenon_L291_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.34 apply (zenon_L253_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.34 apply (zenon_L291_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.34 apply (zenon_L224_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.34 apply (zenon_L380_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.34 apply (zenon_L799_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.34 exact (zenon_H1f3 zenon_H130). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.34 apply (zenon_L145_); trivial. % 11.15/11.34 exact (zenon_H19f zenon_H114). % 11.15/11.34 exact (zenon_H199 zenon_H6f). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.34 apply (zenon_L800_); trivial. % 11.15/11.34 apply (zenon_L786_); trivial. % 11.15/11.34 apply (zenon_L75_); trivial. % 11.15/11.34 (* end of lemma zenon_L801_ *) % 11.15/11.34 assert (zenon_L802_ : (((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 (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H20f zenon_He5 zenon_H1f0 zenon_H10e zenon_H6f zenon_H9b zenon_H1dd zenon_H65 zenon_Hcc. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_Hea | zenon_intro zenon_H210 ]. % 11.15/11.34 apply (zenon_L352_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H211 ]. % 11.15/11.34 apply (zenon_L317_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H10d | zenon_intro zenon_Hcb ]. % 11.15/11.34 apply (zenon_L512_); trivial. % 11.15/11.34 apply (zenon_L45_); trivial. % 11.15/11.34 (* end of lemma zenon_L802_ *) % 11.15/11.34 assert (zenon_L803_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (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 (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.15/11.34 do 0 intro. intros zenon_H1ab zenon_H22e zenon_Hcc zenon_H65 zenon_H1dd zenon_H9b zenon_H10e zenon_H1f0 zenon_He5 zenon_H20f zenon_H70 zenon_H7c zenon_H1a9 zenon_H101. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ]. % 11.15/11.34 apply (zenon_L392_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ]. % 11.15/11.34 apply (zenon_L802_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ]. % 11.15/11.34 apply (zenon_L191_); trivial. % 11.15/11.34 apply (zenon_L192_); trivial. % 11.15/11.34 (* end of lemma zenon_L803_ *) % 11.15/11.34 assert (zenon_L804_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (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 (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H1ae zenon_H23 zenon_H12c zenon_H1e zenon_H32 zenon_H69 zenon_H1ab zenon_H22e zenon_Hcc zenon_H65 zenon_H1dd zenon_H9b zenon_H10e zenon_H1f0 zenon_He5 zenon_H20f zenon_H70 zenon_H7c zenon_H1a9. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ]. % 11.15/11.34 apply (zenon_L88_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ]. % 11.15/11.34 apply (zenon_L158_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ]. % 11.15/11.34 apply (zenon_L186_); trivial. % 11.15/11.34 apply (zenon_L803_); trivial. % 11.15/11.34 (* end of lemma zenon_L804_ *) % 11.15/11.34 assert (zenon_L805_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (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 (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_He1 zenon_H241 zenon_H41 zenon_H1a9 zenon_H7c zenon_H70 zenon_H20f zenon_He5 zenon_H1f0 zenon_H10e zenon_H1dd zenon_Hcc zenon_H22e zenon_H1ab zenon_H69 zenon_H32 zenon_H1e zenon_H12c zenon_H23 zenon_H1ae zenon_H65 zenon_Hdd. % 11.15/11.34 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 11.15/11.34 apply (zenon_L459_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ]. % 11.15/11.34 apply (zenon_L11_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ]. % 11.15/11.34 apply (zenon_L804_); trivial. % 11.15/11.34 apply (zenon_L51_); trivial. % 11.15/11.34 (* end of lemma zenon_L805_ *) % 11.15/11.34 assert (zenon_L806_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.15/11.34 do 0 intro. intros zenon_Hd9 zenon_H149 zenon_H175 zenon_H42 zenon_Hec zenon_H65 zenon_H14f. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.34 apply (zenon_L291_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.34 apply (zenon_L284_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.34 apply (zenon_L246_); trivial. % 11.15/11.34 exact (zenon_H14f zenon_Hc4). % 11.15/11.34 (* end of lemma zenon_L806_ *) % 11.15/11.34 assert (zenon_L807_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H19e zenon_H14e zenon_H46 zenon_H12d zenon_H65 zenon_H149 zenon_H7c zenon_H75. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.34 exact (zenon_H14e zenon_H103). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.34 apply (zenon_L90_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.34 apply (zenon_L137_); trivial. % 11.15/11.34 apply (zenon_L586_); trivial. % 11.15/11.34 (* end of lemma zenon_L807_ *) % 11.15/11.34 assert (zenon_L808_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H180 zenon_H14f zenon_Hec zenon_Hd9 zenon_H75 zenon_H149 zenon_H65 zenon_H12d zenon_H14e zenon_H19e zenon_Ha5 zenon_H42 zenon_H7c zenon_H69. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.34 apply (zenon_L806_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.34 apply (zenon_L807_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.34 apply (zenon_L36_); trivial. % 11.15/11.34 apply (zenon_L186_); trivial. % 11.15/11.34 (* end of lemma zenon_L808_ *) % 11.15/11.34 assert (zenon_L809_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((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)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H180 zenon_H149 zenon_H109 zenon_H169 zenon_H7c zenon_H14e zenon_H14b zenon_H81 zenon_H23 zenon_Hdd zenon_H65 zenon_H38 zenon_H41 zenon_H172 zenon_H186 zenon_Ha5. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.34 apply (zenon_L291_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.34 apply (zenon_L292_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.34 apply (zenon_L51_); trivial. % 11.15/11.34 apply (zenon_L295_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.34 apply (zenon_L388_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.34 apply (zenon_L318_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.34 apply (zenon_L457_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.34 apply (zenon_L292_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.34 apply (zenon_L51_); trivial. % 11.15/11.34 apply (zenon_L295_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.34 exact (zenon_H14e zenon_H103). % 11.15/11.34 apply (zenon_L133_); trivial. % 11.15/11.34 apply (zenon_L406_); trivial. % 11.15/11.34 (* end of lemma zenon_L809_ *) % 11.15/11.34 assert (zenon_L810_ : (((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 (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H127 zenon_H125 zenon_H150 zenon_H1e zenon_H122 zenon_H14e zenon_H65 zenon_Hec. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ]. % 11.15/11.34 apply (zenon_L113_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ]. % 11.15/11.34 apply (zenon_L83_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ]. % 11.15/11.34 exact (zenon_H14e zenon_H103). % 11.15/11.34 apply (zenon_L246_); trivial. % 11.15/11.34 (* end of lemma zenon_L810_ *) % 11.15/11.34 assert (zenon_L811_ : (((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) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H15a zenon_H163 zenon_H138 zenon_H85 zenon_H158 zenon_H169 zenon_H7c zenon_H14f. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ]. % 11.15/11.34 apply (zenon_L134_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ]. % 11.15/11.34 apply (zenon_L425_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ]. % 11.15/11.34 apply (zenon_L133_); trivial. % 11.15/11.34 exact (zenon_H14f zenon_Hc4). % 11.15/11.34 (* end of lemma zenon_L811_ *) % 11.15/11.34 assert (zenon_L812_ : (((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) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False). % 11.15/11.34 do 0 intro. intros zenon_H235 zenon_H1a7 zenon_H1a6 zenon_H123 zenon_H113 zenon_H75 zenon_H7c zenon_Hf7 zenon_H65. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_Hba | zenon_intro zenon_H236 ]. % 11.15/11.34 apply (zenon_L189_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H18e | zenon_intro zenon_H237 ]. % 11.15/11.34 apply (zenon_L170_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H114 | zenon_intro zenon_H74 ]. % 11.15/11.34 apply (zenon_L586_); trivial. % 11.15/11.34 apply (zenon_L67_); trivial. % 11.15/11.34 (* end of lemma zenon_L812_ *) % 11.15/11.34 assert (zenon_L813_ : (((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 (e2) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H127 zenon_H125 zenon_H150 zenon_H18e zenon_H113 zenon_H14e zenon_H65 zenon_Hec. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ]. % 11.15/11.34 apply (zenon_L113_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ]. % 11.15/11.34 apply (zenon_L170_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ]. % 11.15/11.34 exact (zenon_H14e zenon_H103). % 11.15/11.34 apply (zenon_L246_); trivial. % 11.15/11.34 (* end of lemma zenon_L813_ *) % 11.15/11.34 assert (zenon_L814_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H15a zenon_Hec zenon_H65 zenon_H14e zenon_H113 zenon_H18e zenon_H125 zenon_H127 zenon_H1e zenon_H155 zenon_H169 zenon_H7c zenon_H14f. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ]. % 11.15/11.34 apply (zenon_L813_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ]. % 11.15/11.34 apply (zenon_L120_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ]. % 11.15/11.34 apply (zenon_L133_); trivial. % 11.15/11.34 exact (zenon_H14f zenon_Hc4). % 11.15/11.34 (* end of lemma zenon_L814_ *) % 11.15/11.34 assert (zenon_L815_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False). % 11.15/11.34 do 0 intro. intros zenon_H198 zenon_H32 zenon_H10e zenon_Hc3 zenon_H14f zenon_H169 zenon_H155 zenon_H1e zenon_H127 zenon_H125 zenon_H113 zenon_H14e zenon_H65 zenon_Hec zenon_H15a zenon_Ha5 zenon_H7c. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ]. % 11.15/11.34 apply (zenon_L158_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ]. % 11.15/11.34 apply (zenon_L317_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ]. % 11.15/11.34 apply (zenon_L814_); trivial. % 11.15/11.34 apply (zenon_L125_); trivial. % 11.15/11.34 (* end of lemma zenon_L815_ *) % 11.15/11.34 assert (zenon_L816_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False). % 11.15/11.34 do 0 intro. intros zenon_H235 zenon_H1a7 zenon_H6f zenon_H1a6 zenon_H75 zenon_H7c zenon_Hf7 zenon_H65. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_Hba | zenon_intro zenon_H236 ]. % 11.15/11.34 apply (zenon_L189_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H18e | zenon_intro zenon_H237 ]. % 11.15/11.34 apply (zenon_L190_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H114 | zenon_intro zenon_H74 ]. % 11.15/11.34 apply (zenon_L586_); trivial. % 11.15/11.34 apply (zenon_L67_); trivial. % 11.15/11.34 (* end of lemma zenon_L816_ *) % 11.15/11.34 assert (zenon_L817_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((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 (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False). % 11.15/11.34 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_H38 zenon_Ha1 zenon_H1d4 zenon_Ha5 zenon_H15a zenon_Hec zenon_H14e zenon_H113 zenon_H125 zenon_H127 zenon_H1e zenon_H155 zenon_H169 zenon_H14f zenon_H10e zenon_H32 zenon_H198 zenon_H235 zenon_H1a7 zenon_H1a6 zenon_H75 zenon_H7c zenon_Hf7 zenon_H65. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.34 exact (zenon_He6 zenon_H1f). % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ]. % 11.15/11.34 apply (zenon_L812_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ]. % 11.15/11.34 apply (zenon_L257_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ]. % 11.15/11.34 apply (zenon_L20_); trivial. % 11.15/11.34 apply (zenon_L814_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.34 apply (zenon_L815_); trivial. % 11.15/11.34 apply (zenon_L816_); trivial. % 11.15/11.34 (* end of lemma zenon_L817_ *) % 11.15/11.34 assert (zenon_L818_ : (((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) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> False). % 11.15/11.34 do 0 intro. intros zenon_H1f4 zenon_He3 zenon_H84 zenon_H14f zenon_H169 zenon_H158 zenon_H138 zenon_H163 zenon_H15a zenon_H1ca zenon_H7c zenon_Hf5 zenon_H65. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ]. % 11.15/11.34 apply (zenon_L157_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ]. % 11.15/11.34 apply (zenon_L811_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ]. % 11.15/11.34 apply (zenon_L229_); trivial. % 11.15/11.34 apply (zenon_L119_); trivial. % 11.15/11.34 (* end of lemma zenon_L818_ *) % 11.15/11.34 assert (zenon_L819_ : (((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 (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (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))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H127 zenon_H125 zenon_H150 zenon_Hf7 zenon_H7c zenon_H75 zenon_H113 zenon_H1a6 zenon_H1a7 zenon_H235 zenon_H14e zenon_H65 zenon_Hec. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ]. % 11.15/11.34 apply (zenon_L113_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ]. % 11.15/11.34 apply (zenon_L812_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ]. % 11.15/11.34 exact (zenon_H14e zenon_H103). % 11.15/11.34 apply (zenon_L246_); trivial. % 11.15/11.34 (* end of lemma zenon_L819_ *) % 11.15/11.34 assert (zenon_L820_ : (((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 (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((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 (e2) (e2)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H200 zenon_Hc5 zenon_H56 zenon_He3 zenon_H1dd zenon_H127 zenon_H125 zenon_H150 zenon_Hf7 zenon_H7c zenon_H75 zenon_H113 zenon_H1a6 zenon_H235 zenon_H14e zenon_H65 zenon_Hec. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.34 apply (zenon_L127_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.34 exact (zenon_H56 zenon_H24). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.34 apply (zenon_L481_); trivial. % 11.15/11.34 apply (zenon_L819_); trivial. % 11.15/11.34 (* end of lemma zenon_L820_ *) % 11.15/11.34 assert (zenon_L821_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False). % 11.15/11.34 do 0 intro. intros zenon_H235 zenon_H31 zenon_Hb9 zenon_H6f zenon_H1a6 zenon_H75 zenon_H7c zenon_Hf7 zenon_H65. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_Hba | zenon_intro zenon_H236 ]. % 11.15/11.34 apply (zenon_L41_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H18e | zenon_intro zenon_H237 ]. % 11.15/11.34 apply (zenon_L190_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H114 | zenon_intro zenon_H74 ]. % 11.15/11.34 apply (zenon_L586_); trivial. % 11.15/11.34 apply (zenon_L67_); trivial. % 11.15/11.34 (* end of lemma zenon_L821_ *) % 11.15/11.34 assert (zenon_L822_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False). % 11.15/11.34 do 0 intro. intros zenon_H198 zenon_H2d zenon_H65 zenon_Hf7 zenon_H75 zenon_H1a6 zenon_Hb9 zenon_H31 zenon_H235 zenon_H123 zenon_H113 zenon_Ha5 zenon_H7c. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ]. % 11.15/11.34 apply (zenon_L301_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ]. % 11.15/11.34 apply (zenon_L821_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ]. % 11.15/11.34 apply (zenon_L170_); trivial. % 11.15/11.34 apply (zenon_L125_); trivial. % 11.15/11.34 (* end of lemma zenon_L822_ *) % 11.15/11.34 assert (zenon_L823_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H1d4 zenon_Ha5 zenon_H235 zenon_H31 zenon_Hb9 zenon_H1a6 zenon_H75 zenon_Hf7 zenon_H2d zenon_H198 zenon_H3f zenon_Ha1 zenon_H38 zenon_H15a zenon_Hec zenon_H65 zenon_H14e zenon_H113 zenon_H125 zenon_H127 zenon_H1e zenon_H155 zenon_H169 zenon_H7c zenon_H14f. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ]. % 11.15/11.34 apply (zenon_L822_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ]. % 11.15/11.34 apply (zenon_L257_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ]. % 11.15/11.34 apply (zenon_L20_); trivial. % 11.15/11.34 apply (zenon_L814_); trivial. % 11.15/11.34 (* end of lemma zenon_L823_ *) % 11.15/11.34 assert (zenon_L824_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H14b zenon_H175 zenon_H149 zenon_H38 zenon_H11f zenon_Hdd zenon_H65 zenon_H31 zenon_H81. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.34 apply (zenon_L291_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.34 apply (zenon_L296_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.34 apply (zenon_L51_); trivial. % 11.15/11.34 apply (zenon_L73_); trivial. % 11.15/11.34 (* end of lemma zenon_L824_ *) % 11.15/11.34 assert (zenon_L825_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.15/11.34 do 0 intro. intros zenon_Hbe zenon_Ha5 zenon_H9b zenon_H10e zenon_H6f zenon_H65 zenon_H38 zenon_H158 zenon_H156. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.15/11.34 apply (zenon_L36_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.15/11.34 apply (zenon_L317_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.15/11.34 apply (zenon_L20_); trivial. % 11.15/11.34 apply (zenon_L425_); trivial. % 11.15/11.34 (* end of lemma zenon_L825_ *) % 11.15/11.34 assert (zenon_L826_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.15/11.34 do 0 intro. intros zenon_H200 zenon_H104 zenon_H80 zenon_H56 zenon_H156 zenon_H158 zenon_H38 zenon_H65 zenon_H10e zenon_H9b zenon_Ha5 zenon_Hbe zenon_H2d zenon_H11f zenon_H22 zenon_He6 zenon_Hd6 zenon_H1a9 zenon_H31. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.34 apply (zenon_L154_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.34 exact (zenon_H56 zenon_H24). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.34 exact (zenon_He6 zenon_H1f). % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.34 apply (zenon_L380_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.34 apply (zenon_L316_); trivial. % 11.15/11.34 apply (zenon_L825_); trivial. % 11.15/11.34 apply (zenon_L328_); trivial. % 11.15/11.34 (* end of lemma zenon_L826_ *) % 11.15/11.34 assert (zenon_L827_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H180 zenon_H14f zenon_Hec zenon_Hd9 zenon_H75 zenon_H7c zenon_H149 zenon_H65 zenon_H12d zenon_H14e zenon_H19e zenon_Ha5 zenon_H42 zenon_H31 zenon_H109. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.34 apply (zenon_L806_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.34 apply (zenon_L807_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.34 apply (zenon_L36_); trivial. % 11.15/11.34 apply (zenon_L75_); trivial. % 11.15/11.34 (* end of lemma zenon_L827_ *) % 11.15/11.34 assert (zenon_L828_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (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))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False). % 11.15/11.34 do 0 intro. intros zenon_H198 zenon_H2d zenon_Hf7 zenon_H75 zenon_H1a6 zenon_Hb9 zenon_H31 zenon_H235 zenon_Hec zenon_H65 zenon_H14e zenon_H113 zenon_H150 zenon_H125 zenon_H127 zenon_Ha5 zenon_H7c. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ]. % 11.15/11.34 apply (zenon_L301_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ]. % 11.15/11.34 apply (zenon_L821_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ]. % 11.15/11.34 apply (zenon_L813_); trivial. % 11.15/11.34 apply (zenon_L125_); trivial. % 11.15/11.34 (* end of lemma zenon_L828_ *) % 11.15/11.34 assert (zenon_L829_ : ((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))) -> ((op (e3) (e3)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.15/11.34 do 0 intro. intros zenon_H268 zenon_H7c zenon_H109 zenon_Hc4. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ]. % 11.15/11.34 exact (zenon_H14f zenon_Hc4). % 11.15/11.34 apply (zenon_L129_); trivial. % 11.15/11.34 (* end of lemma zenon_L829_ *) % 11.15/11.34 assert (zenon_L830_ : ((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0))) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e2)) -> False). % 11.15/11.34 do 0 intro. intros zenon_H1f2 zenon_H65 zenon_H81 zenon_H103. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ]. % 11.15/11.34 exact (zenon_H14e zenon_H103). % 11.15/11.34 apply (zenon_L53_); trivial. % 11.15/11.34 (* end of lemma zenon_L830_ *) % 11.15/11.34 assert (zenon_L831_ : (((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) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H127 zenon_H125 zenon_H150 zenon_H1f zenon_H104 zenon_H14e zenon_H65 zenon_Hec. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ]. % 11.15/11.34 apply (zenon_L113_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ]. % 11.15/11.34 apply (zenon_L347_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ]. % 11.15/11.34 exact (zenon_H14e zenon_H103). % 11.15/11.34 apply (zenon_L246_); trivial. % 11.15/11.34 (* end of lemma zenon_L831_ *) % 11.15/11.34 assert (zenon_L832_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H15a zenon_Hec zenon_H65 zenon_H14e zenon_H104 zenon_H1f zenon_H125 zenon_H127 zenon_H85 zenon_H158 zenon_H169 zenon_H7c zenon_H14f. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ]. % 11.15/11.34 apply (zenon_L831_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ]. % 11.15/11.34 apply (zenon_L425_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ]. % 11.15/11.34 apply (zenon_L133_); trivial. % 11.15/11.34 exact (zenon_H14f zenon_Hc4). % 11.15/11.34 (* end of lemma zenon_L832_ *) % 11.15/11.34 assert (zenon_L833_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H15a zenon_Hf0 zenon_H158 zenon_H1f zenon_Hc5 zenon_H169 zenon_H7c zenon_H14f. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ]. % 11.15/11.34 apply (zenon_L121_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ]. % 11.15/11.34 apply (zenon_L310_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ]. % 11.15/11.34 apply (zenon_L133_); trivial. % 11.15/11.34 exact (zenon_H14f zenon_Hc4). % 11.15/11.34 (* end of lemma zenon_L833_ *) % 11.15/11.34 assert (zenon_L834_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((e0) = (e3))) -> ((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((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 (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H273 zenon_H81 zenon_H1f2 zenon_H16f zenon_H125 zenon_H15e zenon_Ha5 zenon_H127 zenon_H65 zenon_Hec zenon_H104 zenon_H158 zenon_H169 zenon_H7c zenon_H15a zenon_Hc5 zenon_H166 zenon_H1f zenon_H2d zenon_H26d zenon_H268 zenon_H109 zenon_H26c. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.34 exact (zenon_H26d zenon_H2c). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.34 apply (zenon_L56_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.34 apply (zenon_L113_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.34 apply (zenon_L310_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.34 apply (zenon_L213_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.34 apply (zenon_L832_); trivial. % 11.15/11.34 apply (zenon_L125_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.34 apply (zenon_L833_); trivial. % 11.15/11.34 exact (zenon_H165 zenon_H68). % 11.15/11.34 apply (zenon_L831_); trivial. % 11.15/11.34 exact (zenon_H165 zenon_H68). % 11.15/11.34 exact (zenon_Haa zenon_Ha9). % 11.15/11.34 apply (zenon_L829_); trivial. % 11.15/11.34 apply (zenon_L830_); trivial. % 11.15/11.34 (* end of lemma zenon_L834_ *) % 11.15/11.34 assert (zenon_L835_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H127 zenon_H2c zenon_H122 zenon_H125 zenon_H156 zenon_H14e zenon_H65 zenon_Hec. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ]. % 11.15/11.34 apply (zenon_L642_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ]. % 11.15/11.34 apply (zenon_L428_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ]. % 11.15/11.34 exact (zenon_H14e zenon_H103). % 11.15/11.34 apply (zenon_L246_); trivial. % 11.15/11.34 (* end of lemma zenon_L835_ *) % 11.15/11.34 assert (zenon_L836_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H15a zenon_H2c zenon_H155 zenon_H85 zenon_H158 zenon_H169 zenon_H7c zenon_H14f. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ]. % 11.15/11.34 apply (zenon_L663_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ]. % 11.15/11.34 apply (zenon_L425_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ]. % 11.15/11.34 apply (zenon_L133_); trivial. % 11.15/11.34 exact (zenon_H14f zenon_Hc4). % 11.15/11.34 (* end of lemma zenon_L836_ *) % 11.15/11.34 assert (zenon_L837_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False). % 11.15/11.34 do 0 intro. intros zenon_H15e zenon_Hec zenon_H65 zenon_H14e zenon_H125 zenon_H122 zenon_H127 zenon_H2d zenon_H163 zenon_H14f zenon_H169 zenon_H158 zenon_H155 zenon_H2c zenon_H15a zenon_Ha5 zenon_H7c. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.34 apply (zenon_L835_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.34 apply (zenon_L213_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.34 apply (zenon_L836_); trivial. % 11.15/11.34 apply (zenon_L125_); trivial. % 11.15/11.34 (* end of lemma zenon_L837_ *) % 11.15/11.34 assert (zenon_L838_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H15a zenon_Hf0 zenon_H158 zenon_Hec zenon_H65 zenon_H14e zenon_H125 zenon_H122 zenon_H2c zenon_H127 zenon_H169 zenon_H7c zenon_H14f. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ]. % 11.15/11.34 apply (zenon_L121_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ]. % 11.15/11.34 apply (zenon_L835_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ]. % 11.15/11.34 apply (zenon_L133_); trivial. % 11.15/11.34 exact (zenon_H14f zenon_Hc4). % 11.15/11.34 (* end of lemma zenon_L838_ *) % 11.15/11.34 assert (zenon_L839_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((e0) = (e3))) -> ((~((op (e2) (e0)) = (e2)))\/((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e0)) = (e3)))\/((op (e3) (e3)) = (e0))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H273 zenon_H81 zenon_H1f2 zenon_H166 zenon_H127 zenon_H65 zenon_Hec zenon_H125 zenon_H122 zenon_H2d zenon_H15a zenon_H7c zenon_H169 zenon_H158 zenon_Ha5 zenon_H15e zenon_H2c zenon_H155 zenon_H268 zenon_H109 zenon_H26c. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.34 apply (zenon_L663_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.34 apply (zenon_L837_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.34 apply (zenon_L838_); trivial. % 11.15/11.34 exact (zenon_H165 zenon_H68). % 11.15/11.34 exact (zenon_H165 zenon_H68). % 11.15/11.34 exact (zenon_Haa zenon_Ha9). % 11.15/11.34 apply (zenon_L829_); trivial. % 11.15/11.34 apply (zenon_L830_); trivial. % 11.15/11.34 (* end of lemma zenon_L839_ *) % 11.15/11.34 assert (zenon_L840_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False). % 11.15/11.34 do 0 intro. intros zenon_H235 zenon_H1a7 zenon_H1a6 zenon_H186 zenon_Hb9 zenon_H75 zenon_H7c zenon_Hf7 zenon_H65. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_Hba | zenon_intro zenon_H236 ]. % 11.15/11.34 apply (zenon_L189_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H18e | zenon_intro zenon_H237 ]. % 11.15/11.34 apply (zenon_L182_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H114 | zenon_intro zenon_H74 ]. % 11.15/11.34 apply (zenon_L586_); trivial. % 11.15/11.34 apply (zenon_L67_); trivial. % 11.15/11.34 (* end of lemma zenon_L840_ *) % 11.15/11.34 assert (zenon_L841_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False). % 11.15/11.34 do 0 intro. intros zenon_H1ae zenon_H1a7 zenon_H18e zenon_Hb9 zenon_H69 zenon_H7c zenon_H1a9 zenon_Hd1. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ]. % 11.15/11.34 apply (zenon_L328_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ]. % 11.15/11.34 apply (zenon_L182_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ]. % 11.15/11.34 apply (zenon_L186_); trivial. % 11.15/11.34 apply (zenon_L192_); trivial. % 11.15/11.34 (* end of lemma zenon_L841_ *) % 11.15/11.34 assert (zenon_L842_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (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) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H198 zenon_H65 zenon_Hf7 zenon_H75 zenon_H1a6 zenon_H235 zenon_H1f zenon_H22e zenon_Hd1 zenon_H1a9 zenon_H7c zenon_H69 zenon_Hb9 zenon_H1a7 zenon_H1ae zenon_H15d. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ]. % 11.15/11.34 apply (zenon_L840_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ]. % 11.15/11.34 apply (zenon_L450_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ]. % 11.15/11.34 apply (zenon_L841_); trivial. % 11.15/11.34 exact (zenon_H15d zenon_H6e). % 11.15/11.34 (* end of lemma zenon_L842_ *) % 11.15/11.34 assert (zenon_L843_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (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) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.15/11.34 do 0 intro. intros zenon_Hd3 zenon_H38 zenon_H46 zenon_Hcc zenon_H198 zenon_H65 zenon_Hf7 zenon_H75 zenon_H1a6 zenon_H235 zenon_H1f zenon_H22e zenon_H1a9 zenon_H7c zenon_H69 zenon_Hb9 zenon_H1a7 zenon_H1ae zenon_H15d. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.15/11.34 apply (zenon_L9_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.15/11.34 apply (zenon_L722_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.15/11.34 apply (zenon_L45_); trivial. % 11.15/11.34 apply (zenon_L842_); trivial. % 11.15/11.34 (* end of lemma zenon_L843_ *) % 11.15/11.34 assert (zenon_L844_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H20f zenon_H11c zenon_H89 zenon_H1f zenon_H1f0 zenon_H9b zenon_H1dd zenon_H65 zenon_Hcc. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_Hea | zenon_intro zenon_H210 ]. % 11.15/11.34 apply (zenon_L336_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H211 ]. % 11.15/11.34 apply (zenon_L305_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H10d | zenon_intro zenon_Hcb ]. % 11.15/11.34 apply (zenon_L512_); trivial. % 11.15/11.34 apply (zenon_L45_); trivial. % 11.15/11.34 (* end of lemma zenon_L844_ *) % 11.15/11.34 assert (zenon_L845_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_He1 zenon_H41 zenon_H2c zenon_H85 zenon_H84 zenon_H10d zenon_H1dd zenon_H65 zenon_Hdd. % 11.15/11.34 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 11.15/11.34 apply (zenon_L153_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ]. % 11.15/11.34 apply (zenon_L27_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ]. % 11.15/11.34 apply (zenon_L512_); trivial. % 11.15/11.34 apply (zenon_L51_); trivial. % 11.15/11.34 (* end of lemma zenon_L845_ *) % 11.15/11.34 assert (zenon_L846_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_Hbe zenon_H24d zenon_H186 zenon_H1f zenon_H1f0 zenon_H67 zenon_He1 zenon_H41 zenon_H2c zenon_H84 zenon_H10d zenon_H1dd zenon_H65 zenon_Hdd. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.15/11.34 apply (zenon_L511_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.15/11.34 apply (zenon_L305_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.15/11.34 exact (zenon_H67 zenon_H66). % 11.15/11.34 apply (zenon_L845_); trivial. % 11.15/11.34 (* end of lemma zenon_L846_ *) % 11.15/11.34 assert (zenon_L847_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H14b zenon_H81 zenon_H70 zenon_H7c zenon_Hbe zenon_H24d zenon_H1f zenon_H1f0 zenon_H67 zenon_He1 zenon_H41 zenon_H2c zenon_H84 zenon_H1dd zenon_H1b9 zenon_Hcc zenon_H20f zenon_H149 zenon_H1ca zenon_Ha5 zenon_H117 zenon_Hdd zenon_H65 zenon_H186 zenon_H38. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.34 apply (zenon_L468_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.34 apply (zenon_L224_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.15/11.34 apply (zenon_L511_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.15/11.34 apply (zenon_L305_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.15/11.34 exact (zenon_H67 zenon_H66). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.15/11.34 apply (zenon_L844_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.15/11.34 apply (zenon_L845_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.15/11.34 apply (zenon_L137_); trivial. % 11.15/11.34 apply (zenon_L229_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.34 apply (zenon_L846_); trivial. % 11.15/11.34 apply (zenon_L191_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.34 apply (zenon_L51_); trivial. % 11.15/11.34 apply (zenon_L295_); trivial. % 11.15/11.34 (* end of lemma zenon_L847_ *) % 11.15/11.34 assert (zenon_L848_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H198 zenon_H38 zenon_H1f zenon_H22e zenon_H101 zenon_H1a9 zenon_H7c zenon_H70 zenon_H1a6 zenon_Hba zenon_H1ab zenon_H15d. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ]. % 11.15/11.34 apply (zenon_L295_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ]. % 11.15/11.34 apply (zenon_L450_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ]. % 11.15/11.34 apply (zenon_L193_); trivial. % 11.15/11.34 exact (zenon_H15d zenon_H6e). % 11.15/11.34 (* end of lemma zenon_L848_ *) % 11.15/11.34 assert (zenon_L849_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H1ae zenon_H18e zenon_Hb9 zenon_H69 zenon_H198 zenon_H38 zenon_H1f zenon_H22e zenon_H1a9 zenon_H7c zenon_H70 zenon_H1a6 zenon_Hba zenon_H1ab zenon_H15d. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H31 | zenon_intro zenon_H1b0 ]. % 11.15/11.34 apply (zenon_L41_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b1 ]. % 11.15/11.34 apply (zenon_L182_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H108 | zenon_intro zenon_H101 ]. % 11.15/11.34 apply (zenon_L186_); trivial. % 11.15/11.34 apply (zenon_L848_); trivial. % 11.15/11.34 (* end of lemma zenon_L849_ *) % 11.15/11.34 assert (zenon_L850_ : ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H65 zenon_Hdd zenon_H117 zenon_Ha5 zenon_H1ca zenon_H149 zenon_H20f zenon_Hcc zenon_H1b9 zenon_H1dd zenon_H84 zenon_H2c zenon_H41 zenon_He1 zenon_H67 zenon_H1f0 zenon_H24d zenon_Hbe zenon_H81 zenon_H14b zenon_H1ab zenon_Hba zenon_H1a6 zenon_H70 zenon_H7c zenon_H1a9 zenon_H22e zenon_H1f zenon_H38 zenon_H198 zenon_H69 zenon_Hb9 zenon_H1ae zenon_H15d. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ]. % 11.15/11.34 apply (zenon_L847_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ]. % 11.15/11.34 apply (zenon_L450_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ]. % 11.15/11.34 apply (zenon_L849_); trivial. % 11.15/11.34 exact (zenon_H15d zenon_H6e). % 11.15/11.34 (* end of lemma zenon_L850_ *) % 11.15/11.34 assert (zenon_L851_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False). % 11.15/11.34 do 0 intro. intros zenon_H1cd zenon_H32 zenon_H235 zenon_H75 zenon_Hf7 zenon_H46 zenon_Hd3 zenon_H15d zenon_H1ae zenon_Hb9 zenon_H69 zenon_H198 zenon_H38 zenon_H1f zenon_H22e zenon_H1a9 zenon_H70 zenon_H1a6 zenon_H1ab zenon_H14b zenon_H81 zenon_Hbe zenon_H24d zenon_H1f0 zenon_H67 zenon_He1 zenon_H41 zenon_H2c zenon_H84 zenon_H1dd zenon_H1b9 zenon_Hcc zenon_H20f zenon_H149 zenon_H1ca zenon_Ha5 zenon_H117 zenon_Hdd zenon_H65 zenon_H109 zenon_H7c. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H31 | zenon_intro zenon_H1ce ]. % 11.15/11.34 apply (zenon_L6_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1cf ]. % 11.15/11.34 apply (zenon_L843_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hba | zenon_intro zenon_H68 ]. % 11.15/11.34 apply (zenon_L850_); trivial. % 11.15/11.34 apply (zenon_L129_); trivial. % 11.15/11.34 (* end of lemma zenon_L851_ *) % 11.15/11.34 assert (zenon_L852_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H117 zenon_Ha5 zenon_Hcc zenon_H65 zenon_H1f0 zenon_H1f zenon_H89 zenon_H20f zenon_H9b zenon_H1dd zenon_H7c zenon_H70. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.34 apply (zenon_L224_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.34 apply (zenon_L844_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.34 apply (zenon_L512_); trivial. % 11.15/11.34 apply (zenon_L191_); trivial. % 11.15/11.34 (* end of lemma zenon_L852_ *) % 11.15/11.34 assert (zenon_L853_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e1)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H19e zenon_Ha5 zenon_H123 zenon_H1f3 zenon_H65 zenon_H149 zenon_H7c zenon_H75. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.34 apply (zenon_L270_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.34 exact (zenon_H1f3 zenon_H130). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.34 apply (zenon_L137_); trivial. % 11.15/11.34 apply (zenon_L586_); trivial. % 11.15/11.34 (* end of lemma zenon_L853_ *) % 11.15/11.34 assert (zenon_L854_ : ((op (e3) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H7c zenon_H73 zenon_H149. % 11.15/11.34 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ]. % 11.15/11.34 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.15/11.34 intro zenon_D_pnotp. % 11.15/11.34 apply zenon_H149. % 11.15/11.34 rewrite <- zenon_D_pnotp. % 11.15/11.34 exact zenon_H39. % 11.15/11.34 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.15/11.34 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H14a]. % 11.15/11.34 congruence. % 11.15/11.34 cut (((op (e3) (e3)) = (e2)) = ((e3) = (e2))). % 11.15/11.34 intro zenon_D_pnotp. % 11.15/11.34 apply zenon_H14a. % 11.15/11.34 rewrite <- zenon_D_pnotp. % 11.15/11.34 exact zenon_H7c. % 11.15/11.34 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.15/11.34 cut (((op (e3) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1c5]. % 11.15/11.34 congruence. % 11.15/11.34 exact (zenon_H1c5 zenon_H73). % 11.15/11.34 apply zenon_H45. apply refl_equal. % 11.15/11.34 apply zenon_H3a. apply refl_equal. % 11.15/11.34 apply zenon_H3a. apply refl_equal. % 11.15/11.34 (* end of lemma zenon_L854_ *) % 11.15/11.34 assert (zenon_L855_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e1)) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H1c4 zenon_H38 zenon_H156 zenon_H145 zenon_H65 zenon_Hf5 zenon_H7c zenon_H149. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ]. % 11.15/11.34 apply (zenon_L239_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ]. % 11.15/11.34 exact (zenon_H145 zenon_H133). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ]. % 11.15/11.34 apply (zenon_L119_); trivial. % 11.15/11.34 apply (zenon_L854_); trivial. % 11.15/11.34 (* end of lemma zenon_L855_ *) % 11.15/11.34 assert (zenon_L856_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e1)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.34 do 0 intro. intros zenon_H19e zenon_H109 zenon_H80 zenon_H1f3 zenon_H65 zenon_H149 zenon_H7c zenon_H75. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.34 apply (zenon_L109_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.34 exact (zenon_H1f3 zenon_H130). % 11.15/11.34 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.34 apply (zenon_L137_); trivial. % 11.15/11.34 apply (zenon_L586_); trivial. % 11.15/11.34 (* end of lemma zenon_L856_ *) % 11.15/11.34 assert (zenon_L857_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.15/11.34 do 0 intro. intros zenon_Hd9 zenon_H89 zenon_H88 zenon_H38 zenon_H1f zenon_Hec zenon_H65 zenon_H150 zenon_H81. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.34 apply (zenon_L28_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.34 apply (zenon_L9_); trivial. % 11.15/11.34 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.34 apply (zenon_L246_); trivial. % 11.15/11.34 apply (zenon_L116_); trivial. % 11.15/11.34 (* end of lemma zenon_L857_ *) % 11.15/11.34 assert (zenon_L858_ : (((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)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e3) (e1)) = (e3))) -> False). % 11.15/11.35 do 0 intro. intros zenon_Hd3 zenon_H38 zenon_H1f zenon_H24 zenon_H81 zenon_Hcc zenon_H13b zenon_H37 zenon_H88 zenon_H121 zenon_H143 zenon_H65 zenon_H145. % 11.15/11.35 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.15/11.35 apply (zenon_L9_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.15/11.35 apply (zenon_L44_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.15/11.35 apply (zenon_L45_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.15/11.35 apply (zenon_L28_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.15/11.35 apply (zenon_L338_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.15/11.35 apply (zenon_L99_); trivial. % 11.15/11.35 exact (zenon_H145 zenon_H133). % 11.15/11.35 (* end of lemma zenon_L858_ *) % 11.15/11.35 assert (zenon_L859_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H14b zenon_H175 zenon_H149 zenon_H150 zenon_Hec zenon_H1f zenon_H38 zenon_H88 zenon_Hd9 zenon_Hdd zenon_H65 zenon_H31 zenon_H81. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.35 apply (zenon_L291_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.35 apply (zenon_L857_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.35 apply (zenon_L51_); trivial. % 11.15/11.35 apply (zenon_L73_); trivial. % 11.15/11.35 (* end of lemma zenon_L859_ *) % 11.15/11.35 assert (zenon_L860_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e1) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H198 zenon_H2d zenon_H31 zenon_H1f zenon_H22e zenon_H65 zenon_Hea zenon_H15d. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ]. % 11.15/11.35 apply (zenon_L301_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ]. % 11.15/11.35 apply (zenon_L450_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ]. % 11.15/11.35 apply (zenon_L522_); trivial. % 11.15/11.35 exact (zenon_H15d zenon_H6e). % 11.15/11.35 (* end of lemma zenon_L860_ *) % 11.15/11.35 assert (zenon_L861_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.15/11.35 do 0 intro. intros zenon_H1ab zenon_H31 zenon_H18e zenon_H1a6 zenon_H70 zenon_H7c zenon_H1a9 zenon_H101. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ac ]. % 11.15/11.35 apply (zenon_L328_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H6f | zenon_intro zenon_H1ad ]. % 11.15/11.35 apply (zenon_L190_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H10c | zenon_intro zenon_Hd1 ]. % 11.15/11.35 apply (zenon_L191_); trivial. % 11.15/11.35 apply (zenon_L192_); trivial. % 11.15/11.35 (* end of lemma zenon_L861_ *) % 11.15/11.35 assert (zenon_L862_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False). % 11.15/11.35 do 0 intro. intros zenon_H235 zenon_Hb9 zenon_H101 zenon_H1a9 zenon_H70 zenon_H1a6 zenon_H31 zenon_H1ab zenon_H75 zenon_H7c zenon_Hf7 zenon_H65. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_Hba | zenon_intro zenon_H236 ]. % 11.15/11.35 apply (zenon_L41_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H18e | zenon_intro zenon_H237 ]. % 11.15/11.35 apply (zenon_L861_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H114 | zenon_intro zenon_H74 ]. % 11.15/11.35 apply (zenon_L586_); trivial. % 11.15/11.35 apply (zenon_L67_); trivial. % 11.15/11.35 (* end of lemma zenon_L862_ *) % 11.15/11.35 assert (zenon_L863_ : ((~((op (e3) (e1)) = (e3)))\/((op (e3) (e3)) = (e1))) -> ((op (e3) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.15/11.35 do 0 intro. intros zenon_H220 zenon_H7c zenon_Ha5 zenon_H133. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ]. % 11.15/11.35 exact (zenon_H145 zenon_H133). % 11.15/11.35 apply (zenon_L125_); trivial. % 11.15/11.35 (* end of lemma zenon_L863_ *) % 11.15/11.35 assert (zenon_L864_ : ((~((op (e2) (e1)) = (e2)))\/((op (e2) (e2)) = (e1))) -> ((op (e2) (e2)) = (e3)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e2)) -> False). % 11.15/11.35 do 0 intro. intros zenon_H21c zenon_H65 zenon_H38 zenon_H130. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ]. % 11.15/11.35 exact (zenon_H1f3 zenon_H130). % 11.15/11.35 apply (zenon_L20_); trivial. % 11.15/11.35 (* end of lemma zenon_L864_ *) % 11.15/11.35 assert (zenon_L865_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e3) (e1)) = (e3))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H13b zenon_H81 zenon_H23 zenon_H11c zenon_H149 zenon_H143 zenon_H65 zenon_H145. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.15/11.35 apply (zenon_L292_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.15/11.35 apply (zenon_L285_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.15/11.35 apply (zenon_L99_); trivial. % 11.15/11.35 exact (zenon_H145 zenon_H133). % 11.15/11.35 (* end of lemma zenon_L865_ *) % 11.15/11.35 assert (zenon_L866_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False). % 11.15/11.35 do 0 intro. intros zenon_H23b zenon_H7c zenon_H75 zenon_H65. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H114 ]. % 11.15/11.35 exact (zenon_H1a4 zenon_H65). % 11.15/11.35 apply (zenon_L586_); trivial. % 11.15/11.35 (* end of lemma zenon_L866_ *) % 11.15/11.35 assert (zenon_L867_ : (((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\(((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))/\(((~((op (e0) (e3)) = (e0)))\/((op (e0) (e0)) = (e3)))/\(((~((op (e1) (e3)) = (e1)))\/((op (e1) (e1)) = (e3)))/\(((~((op (e2) (e3)) = (e2)))\/((op (e2) (e2)) = (e3)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False). % 11.15/11.35 do 0 intro. intros zenon_H25b zenon_H7c zenon_H75 zenon_H65. % 11.15/11.35 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25d. zenon_intro zenon_H25c. % 11.15/11.35 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H272. zenon_intro zenon_H271. % 11.15/11.35 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H23b. zenon_intro zenon_H274. % 11.15/11.35 apply (zenon_L866_); trivial. % 11.15/11.35 (* end of lemma zenon_L867_ *) % 11.15/11.35 assert (zenon_L868_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H20c zenon_H1a7 zenon_H22e zenon_Hc3 zenon_H1f0 zenon_H175 zenon_H1d zenon_Hca zenon_H1f7. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ]. % 11.15/11.35 apply (zenon_L392_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ]. % 11.15/11.35 apply (zenon_L305_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ]. % 11.15/11.35 apply (zenon_L281_); trivial. % 11.15/11.35 apply (zenon_L321_); trivial. % 11.15/11.35 (* end of lemma zenon_L868_ *) % 11.15/11.35 assert (zenon_L869_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.35 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_H38 zenon_H1f7 zenon_Hca zenon_H1d zenon_H175 zenon_H1f0 zenon_H22e zenon_H1a7 zenon_H20c zenon_H6e zenon_H70. % 11.15/11.35 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.35 exact (zenon_He6 zenon_H1f). % 11.15/11.35 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.35 apply (zenon_L514_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.35 apply (zenon_L868_); trivial. % 11.15/11.35 apply (zenon_L22_); trivial. % 11.15/11.35 (* end of lemma zenon_L869_ *) % 11.15/11.35 assert (zenon_L870_ : (((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) (e1)) = (e0))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H200 zenon_Hc5 zenon_H150 zenon_H56 zenon_He3 zenon_H1dd zenon_Hd6 zenon_He6 zenon_H38 zenon_H1f7 zenon_Hca zenon_H1d zenon_H175 zenon_H1f0 zenon_H22e zenon_H20c zenon_H6e zenon_H70. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.35 apply (zenon_L127_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.35 exact (zenon_H56 zenon_H24). % 11.15/11.35 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.35 apply (zenon_L481_); trivial. % 11.15/11.35 apply (zenon_L869_); trivial. % 11.15/11.35 (* end of lemma zenon_L870_ *) % 11.15/11.35 assert (zenon_L871_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H1c4 zenon_H14f zenon_H145 zenon_Hdc zenon_H84 zenon_H6e zenon_H38. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ]. % 11.15/11.35 exact (zenon_H14f zenon_Hc4). % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ]. % 11.15/11.35 exact (zenon_H145 zenon_H133). % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ]. % 11.15/11.35 apply (zenon_L131_); trivial. % 11.15/11.35 apply (zenon_L262_); trivial. % 11.15/11.35 (* end of lemma zenon_L871_ *) % 11.15/11.35 assert (zenon_L872_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H14b zenon_H1e zenon_H22 zenon_Hca zenon_H38 zenon_H6e zenon_H84 zenon_H145 zenon_H14f zenon_H1c4 zenon_H108 zenon_H149. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.35 apply (zenon_L8_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.35 apply (zenon_L57_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.35 apply (zenon_L871_); trivial. % 11.15/11.35 apply (zenon_L184_); trivial. % 11.15/11.35 (* end of lemma zenon_L872_ *) % 11.15/11.35 assert (zenon_L873_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H180 zenon_H70 zenon_H6e zenon_H20c zenon_H22e zenon_H1f0 zenon_H1d zenon_H1f7 zenon_H38 zenon_He6 zenon_Hd6 zenon_H1dd zenon_H56 zenon_H150 zenon_Hc5 zenon_H200 zenon_Ha5 zenon_H11f zenon_H109 zenon_H14b zenon_H123 zenon_H22 zenon_Hca zenon_H81 zenon_He3 zenon_H149. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.35 apply (zenon_L870_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.35 apply (zenon_L81_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.35 apply (zenon_L206_); trivial. % 11.15/11.35 apply (zenon_L479_); trivial. % 11.15/11.35 (* end of lemma zenon_L873_ *) % 11.15/11.35 assert (zenon_L874_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((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) (e1)) = (e0))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H1da zenon_H88 zenon_H149 zenon_He3 zenon_H81 zenon_Hca zenon_H22 zenon_H14b zenon_H109 zenon_H11f zenon_Ha5 zenon_H200 zenon_Hc5 zenon_H150 zenon_H56 zenon_H1dd zenon_Hd6 zenon_He6 zenon_H38 zenon_H1f7 zenon_H1d zenon_H1f0 zenon_H22e zenon_H20c zenon_H70 zenon_H180 zenon_H6e zenon_H169. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.35 apply (zenon_L465_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.35 exact (zenon_He6 zenon_H1f). % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.35 apply (zenon_L873_); trivial. % 11.15/11.35 apply (zenon_L376_); trivial. % 11.15/11.35 (* end of lemma zenon_L874_ *) % 11.15/11.35 assert (zenon_L875_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H219 zenon_H1c4 zenon_H14f zenon_H145 zenon_H84 zenon_H2d zenon_H169 zenon_H180 zenon_H20c zenon_H22e zenon_H1f0 zenon_H1d zenon_H1f7 zenon_H56 zenon_H150 zenon_Hc5 zenon_H200 zenon_Ha5 zenon_H109 zenon_H14b zenon_H22 zenon_H81 zenon_He3 zenon_H149 zenon_H88 zenon_H1da zenon_H70 zenon_H1dd zenon_H38 zenon_Hca zenon_He6 zenon_Hd6 zenon_H6e zenon_H69. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.35 apply (zenon_L870_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.35 apply (zenon_L127_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.35 exact (zenon_H56 zenon_H24). % 11.15/11.35 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.35 apply (zenon_L689_); trivial. % 11.15/11.35 apply (zenon_L722_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.35 apply (zenon_L206_); trivial. % 11.15/11.35 apply (zenon_L872_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.35 apply (zenon_L874_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.35 apply (zenon_L677_); trivial. % 11.15/11.35 apply (zenon_L237_); trivial. % 11.15/11.35 (* end of lemma zenon_L875_ *) % 11.15/11.35 assert (zenon_L876_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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)) = (e1))) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H166 zenon_H69 zenon_Hd6 zenon_He6 zenon_Hca zenon_H38 zenon_H1dd zenon_H70 zenon_H1da zenon_H88 zenon_H149 zenon_H81 zenon_H22 zenon_H14b zenon_H200 zenon_Hc5 zenon_H56 zenon_H1f7 zenon_H1d zenon_H1f0 zenon_H22e zenon_H20c zenon_H180 zenon_H2d zenon_H145 zenon_H1c4 zenon_H219 zenon_H6e zenon_Ha5 zenon_H15a zenon_H138 zenon_H169 zenon_H158 zenon_H14f zenon_H109 zenon_H155 zenon_H175 zenon_H9e zenon_He3 zenon_H84 zenon_H165. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.35 apply (zenon_L875_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.35 apply (zenon_L687_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.35 apply (zenon_L157_); trivial. % 11.15/11.35 exact (zenon_H165 zenon_H68). % 11.15/11.35 (* end of lemma zenon_L876_ *) % 11.15/11.35 assert (zenon_L877_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((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 (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.35 do 0 intro. intros zenon_Hd9 zenon_H169 zenon_H165 zenon_H84 zenon_H9e zenon_H155 zenon_H14f zenon_H158 zenon_H138 zenon_H15a zenon_H219 zenon_H1c4 zenon_H145 zenon_H2d zenon_H180 zenon_H20c zenon_H22e zenon_H1f0 zenon_H1d zenon_H1f7 zenon_H56 zenon_Hc5 zenon_H200 zenon_H88 zenon_H1da zenon_H166 zenon_Ha5 zenon_H109 zenon_H14b zenon_H22 zenon_H81 zenon_He3 zenon_H149 zenon_H70 zenon_H1dd zenon_H38 zenon_Hca zenon_He6 zenon_Hd6 zenon_H6e zenon_H69. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.35 apply (zenon_L876_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.35 apply (zenon_L678_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.35 apply (zenon_L206_); trivial. % 11.15/11.35 apply (zenon_L872_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.35 apply (zenon_L465_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.35 exact (zenon_He6 zenon_H1f). % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.35 apply (zenon_L876_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.35 apply (zenon_L81_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.35 apply (zenon_L206_); trivial. % 11.15/11.35 apply (zenon_L479_); trivial. % 11.15/11.35 apply (zenon_L376_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.35 apply (zenon_L677_); trivial. % 11.15/11.35 apply (zenon_L237_); trivial. % 11.15/11.35 (* end of lemma zenon_L877_ *) % 11.15/11.35 assert (zenon_L878_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H170 zenon_H23 zenon_H132 zenon_H16b zenon_H6e zenon_H14f zenon_H138 zenon_H155 zenon_H1e zenon_H158 zenon_Hf0 zenon_H15a zenon_H145. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H163 | zenon_intro zenon_H17d ]. % 11.15/11.35 apply (zenon_L424_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H141 | zenon_intro zenon_H17e ]. % 11.15/11.35 apply (zenon_L177_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H95 | zenon_intro zenon_H133 ]. % 11.15/11.35 apply (zenon_L605_); trivial. % 11.15/11.35 exact (zenon_H145 zenon_H133). % 11.15/11.35 (* end of lemma zenon_L878_ *) % 11.15/11.35 assert (zenon_L879_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H225 zenon_Ha2 zenon_Hca zenon_He9 zenon_H66 zenon_H38 zenon_H176. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ]. % 11.15/11.35 apply (zenon_L599_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ]. % 11.15/11.35 apply (zenon_L303_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ]. % 11.15/11.35 apply (zenon_L20_); trivial. % 11.15/11.35 exact (zenon_H176 zenon_H153). % 11.15/11.35 (* end of lemma zenon_L879_ *) % 11.15/11.35 assert (zenon_L880_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H1c4 zenon_H149 zenon_H8d zenon_H145 zenon_H176 zenon_H6e zenon_H38. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ]. % 11.15/11.35 apply (zenon_L110_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ]. % 11.15/11.35 exact (zenon_H145 zenon_H133). % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ]. % 11.15/11.35 exact (zenon_H176 zenon_H153). % 11.15/11.35 apply (zenon_L262_); trivial. % 11.15/11.35 (* end of lemma zenon_L880_ *) % 11.15/11.35 assert (zenon_L881_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H1c4 zenon_H81 zenon_H150 zenon_H145 zenon_H176 zenon_H6e zenon_H38. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ]. % 11.15/11.35 apply (zenon_L116_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ]. % 11.15/11.35 exact (zenon_H145 zenon_H133). % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ]. % 11.15/11.35 exact (zenon_H176 zenon_H153). % 11.15/11.35 apply (zenon_L262_); trivial. % 11.15/11.35 (* end of lemma zenon_L881_ *) % 11.15/11.35 assert (zenon_L882_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (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)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (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 (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H16f zenon_H88 zenon_H69 zenon_H180 zenon_H171 zenon_H109 zenon_H23 zenon_Ha5 zenon_H1ab zenon_Hf7 zenon_He9 zenon_Hf8 zenon_Hec zenon_Hf9 zenon_Hdd zenon_H225 zenon_Hb9 zenon_H75 zenon_H1a6 zenon_H235 zenon_H70 zenon_H1a9 zenon_H121 zenon_Hca zenon_H2d zenon_Hd6 zenon_H1d zenon_Hbd zenon_H219 zenon_H1c4 zenon_H81 zenon_H145 zenon_H176 zenon_H6e zenon_H38. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.35 apply (zenon_L447_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.35 apply (zenon_L705_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.35 apply (zenon_L709_); trivial. % 11.15/11.35 apply (zenon_L881_); trivial. % 11.15/11.35 (* end of lemma zenon_L882_ *) % 11.15/11.35 assert (zenon_L883_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (~((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 (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H135 zenon_H38 zenon_H6e zenon_H176 zenon_H145 zenon_H81 zenon_H1c4 zenon_H219 zenon_Hbd zenon_H1d zenon_Hd6 zenon_H2d zenon_H121 zenon_H1a9 zenon_H70 zenon_H235 zenon_H1a6 zenon_H75 zenon_Hb9 zenon_H225 zenon_Hdd zenon_Hf9 zenon_Hec zenon_Hf8 zenon_He9 zenon_Hf7 zenon_H1ab zenon_Ha5 zenon_H109 zenon_H171 zenon_H180 zenon_H69 zenon_H88 zenon_H16f zenon_H12e zenon_H12d zenon_H1a7 zenon_Hca zenon_H22. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H23 | zenon_intro zenon_H136 ]. % 11.15/11.35 apply (zenon_L882_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H11f | zenon_intro zenon_H137 ]. % 11.15/11.35 apply (zenon_L89_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H46 | zenon_intro zenon_H89 ]. % 11.15/11.35 apply (zenon_L722_); trivial. % 11.15/11.35 apply (zenon_L57_); trivial. % 11.15/11.35 (* end of lemma zenon_L883_ *) % 11.15/11.35 assert (zenon_L884_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H1c4 zenon_H156 zenon_H145 zenon_H176 zenon_H6e zenon_H38. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ]. % 11.15/11.35 apply (zenon_L239_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ]. % 11.15/11.35 exact (zenon_H145 zenon_H133). % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ]. % 11.15/11.35 exact (zenon_H176 zenon_H153). % 11.15/11.35 apply (zenon_L262_); trivial. % 11.15/11.35 (* end of lemma zenon_L884_ *) % 11.15/11.35 assert (zenon_L885_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H1d4 zenon_H70 zenon_Hbd zenon_H38 zenon_Hca zenon_H104 zenon_Hd6 zenon_H11f zenon_H12d zenon_H42 zenon_Hdd zenon_H6e zenon_H75. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ]. % 11.15/11.35 apply (zenon_L718_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ]. % 11.15/11.35 apply (zenon_L89_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ]. % 11.15/11.35 apply (zenon_L98_); trivial. % 11.15/11.35 apply (zenon_L377_); trivial. % 11.15/11.35 (* end of lemma zenon_L885_ *) % 11.15/11.35 assert (zenon_L886_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (~((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 (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 (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H135 zenon_H38 zenon_H176 zenon_H145 zenon_H81 zenon_H1c4 zenon_H219 zenon_Hbd zenon_H1d zenon_Hd6 zenon_H2d zenon_H235 zenon_H1a6 zenon_H75 zenon_Hb9 zenon_H225 zenon_Hdd zenon_Hf9 zenon_Hec zenon_Hf8 zenon_He9 zenon_Hf7 zenon_Ha5 zenon_H109 zenon_H171 zenon_H180 zenon_H69 zenon_H88 zenon_H16f zenon_H12e zenon_H12d zenon_H121 zenon_H1a9 zenon_H108 zenon_H6e zenon_H70 zenon_H1ab zenon_Hca zenon_H22. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H23 | zenon_intro zenon_H136 ]. % 11.15/11.35 apply (zenon_L882_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H11f | zenon_intro zenon_H137 ]. % 11.15/11.35 apply (zenon_L89_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H46 | zenon_intro zenon_H89 ]. % 11.15/11.35 apply (zenon_L727_); trivial. % 11.15/11.35 apply (zenon_L57_); trivial. % 11.15/11.35 (* end of lemma zenon_L886_ *) % 11.15/11.35 assert (zenon_L887_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.15/11.35 do 0 intro. intros zenon_H200 zenon_H104 zenon_H80 zenon_Hca zenon_H81 zenon_H176 zenon_H84 zenon_H9b zenon_H6e zenon_H1ca zenon_H19c zenon_H1f4 zenon_H1a9 zenon_H31. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.35 apply (zenon_L154_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.35 apply (zenon_L44_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.35 apply (zenon_L704_); trivial. % 11.15/11.35 apply (zenon_L328_); trivial. % 11.15/11.35 (* end of lemma zenon_L887_ *) % 11.15/11.35 assert (zenon_L888_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H1f4 zenon_H150 zenon_H158 zenon_H42 zenon_H84 zenon_H1ca zenon_H7c zenon_H176. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ]. % 11.15/11.35 apply (zenon_L121_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ]. % 11.15/11.35 apply (zenon_L27_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ]. % 11.15/11.35 apply (zenon_L229_); trivial. % 11.15/11.35 exact (zenon_H176 zenon_H153). % 11.15/11.35 (* end of lemma zenon_L888_ *) % 11.15/11.35 assert (zenon_L889_ : (((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) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H1f4 zenon_Hea zenon_H19c zenon_H156 zenon_H158 zenon_H1ca zenon_H7c zenon_H176. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ]. % 11.15/11.35 apply (zenon_L703_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ]. % 11.15/11.35 apply (zenon_L425_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ]. % 11.15/11.35 apply (zenon_L229_); trivial. % 11.15/11.35 exact (zenon_H176 zenon_H153). % 11.15/11.35 (* end of lemma zenon_L889_ *) % 11.15/11.35 assert (zenon_L890_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((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))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False). % 11.15/11.35 do 0 intro. intros zenon_H15e zenon_H176 zenon_H1ca zenon_H19c zenon_Hea zenon_H1f4 zenon_H2d zenon_H14f zenon_H169 zenon_H158 zenon_H138 zenon_H163 zenon_H15a zenon_Ha5 zenon_H7c. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.35 apply (zenon_L889_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.35 apply (zenon_L213_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.35 apply (zenon_L811_); trivial. % 11.15/11.35 apply (zenon_L125_); trivial. % 11.15/11.35 (* end of lemma zenon_L890_ *) % 11.15/11.35 assert (zenon_L891_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (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) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (e3))) -> (~((e0) = (e1))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H166 zenon_H125 zenon_H80 zenon_H7c zenon_Ha5 zenon_H15a zenon_H138 zenon_H158 zenon_H169 zenon_H14f zenon_H2d zenon_H1f4 zenon_H1ca zenon_H176 zenon_H15e zenon_Hea zenon_H19c zenon_H165. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.35 apply (zenon_L113_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.35 apply (zenon_L890_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.35 apply (zenon_L703_); trivial. % 11.15/11.35 exact (zenon_H165 zenon_H68). % 11.15/11.35 (* end of lemma zenon_L891_ *) % 11.15/11.35 assert (zenon_L892_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((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 (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False). % 11.15/11.35 do 0 intro. intros zenon_H200 zenon_H104 zenon_H56 zenon_H165 zenon_H19c zenon_H15e zenon_H176 zenon_H1ca zenon_H1f4 zenon_H2d zenon_H14f zenon_H169 zenon_H158 zenon_H138 zenon_H15a zenon_Ha5 zenon_H80 zenon_H125 zenon_H166 zenon_H235 zenon_H1a6 zenon_H123 zenon_H113 zenon_H75 zenon_H7c zenon_Hf7 zenon_H65. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.35 apply (zenon_L154_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.35 exact (zenon_H56 zenon_H24). % 11.15/11.35 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.35 apply (zenon_L891_); trivial. % 11.15/11.35 apply (zenon_L812_); trivial. % 11.15/11.35 (* end of lemma zenon_L892_ *) % 11.15/11.35 assert (zenon_L893_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> False). % 11.15/11.35 do 0 intro. intros zenon_H20c zenon_H101 zenon_H1a9 zenon_H7c zenon_H70 zenon_H1a6 zenon_H18e zenon_H22e zenon_H1ab zenon_He6 zenon_H1d zenon_H42 zenon_H175. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_He5 | zenon_intro zenon_H20d ]. % 11.15/11.35 apply (zenon_L395_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1f | zenon_intro zenon_H20e ]. % 11.15/11.35 exact (zenon_He6 zenon_H1f). % 11.15/11.35 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H57 | zenon_intro zenon_H3d ]. % 11.15/11.35 apply (zenon_L281_); trivial. % 11.15/11.35 apply (zenon_L284_); trivial. % 11.15/11.35 (* end of lemma zenon_L893_ *) % 11.15/11.35 assert (zenon_L894_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (((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) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (e3))) -> (~((e0) = (e1))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (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 (e3) (e3)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H1da zenon_H41 zenon_H113 zenon_H180 zenon_Hf7 zenon_H1a6 zenon_H235 zenon_H1dd zenon_H1d4 zenon_H125 zenon_Ha1 zenon_H38 zenon_H244 zenon_H1d zenon_He6 zenon_H1ab zenon_H22e zenon_H70 zenon_H20c zenon_H1a9 zenon_Hb9 zenon_H1ae zenon_Hd6 zenon_H166 zenon_H80 zenon_H15a zenon_H138 zenon_H158 zenon_H169 zenon_H14f zenon_H2d zenon_H1f4 zenon_H1ca zenon_H176 zenon_H15e zenon_H19c zenon_H165 zenon_H56 zenon_H104 zenon_H200 zenon_H75 zenon_H149 zenon_H65 zenon_H12d zenon_H14e zenon_H19e zenon_Ha5 zenon_H42 zenon_H7c zenon_H69. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.35 apply (zenon_L11_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.35 exact (zenon_He6 zenon_H1f). % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.35 apply (zenon_L892_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.35 apply (zenon_L154_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.35 exact (zenon_H56 zenon_H24). % 11.15/11.35 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.35 apply (zenon_L891_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.35 exact (zenon_He6 zenon_H1f). % 11.15/11.35 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ]. % 11.15/11.35 apply (zenon_L428_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ]. % 11.15/11.35 apply (zenon_L257_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ]. % 11.15/11.35 apply (zenon_L20_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H101 | zenon_intro zenon_H245 ]. % 11.15/11.35 apply (zenon_L893_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H246 ]. % 11.15/11.35 apply (zenon_L841_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ]. % 11.15/11.35 apply (zenon_L67_); trivial. % 11.15/11.35 apply (zenon_L854_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.35 apply (zenon_L280_); trivial. % 11.15/11.35 apply (zenon_L816_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.35 apply (zenon_L807_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.35 apply (zenon_L36_); trivial. % 11.15/11.35 apply (zenon_L186_); trivial. % 11.15/11.35 (* end of lemma zenon_L894_ *) % 11.15/11.35 assert (zenon_L895_ : (((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) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H1f4 zenon_He3 zenon_H84 zenon_H14f zenon_H169 zenon_H158 zenon_H138 zenon_H163 zenon_H15a zenon_H1ca zenon_H7c zenon_H176. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1f5 ]. % 11.15/11.35 apply (zenon_L157_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1f6 ]. % 11.15/11.35 apply (zenon_L811_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H9c | zenon_intro zenon_H153 ]. % 11.15/11.35 apply (zenon_L229_); trivial. % 11.15/11.35 exact (zenon_H176 zenon_H153). % 11.15/11.35 (* end of lemma zenon_L895_ *) % 11.15/11.35 assert (zenon_L896_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e2)) = (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 (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (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) (e3)) = (e0))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H166 zenon_Hec zenon_H65 zenon_H14e zenon_H235 zenon_H1a6 zenon_H113 zenon_H75 zenon_Hf7 zenon_H125 zenon_H127 zenon_H1dd zenon_H56 zenon_Hc5 zenon_H200 zenon_H176 zenon_H7c zenon_H1ca zenon_H15a zenon_H138 zenon_H158 zenon_H169 zenon_H14f zenon_H1f4 zenon_He3 zenon_H84 zenon_H165. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.35 apply (zenon_L820_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.35 apply (zenon_L895_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.35 apply (zenon_L157_); trivial. % 11.15/11.35 exact (zenon_H165 zenon_H68). % 11.15/11.35 (* end of lemma zenon_L896_ *) % 11.15/11.35 assert (zenon_L897_ : (((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 (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False). % 11.15/11.35 do 0 intro. intros zenon_He1 zenon_Hf0 zenon_H84 zenon_H24d zenon_H186 zenon_H10d zenon_H1dd zenon_H65 zenon_Hdd. % 11.15/11.35 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 11.15/11.35 apply (zenon_L157_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ]. % 11.15/11.35 apply (zenon_L511_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ]. % 11.15/11.35 apply (zenon_L512_); trivial. % 11.15/11.35 apply (zenon_L51_); trivial. % 11.15/11.35 (* end of lemma zenon_L897_ *) % 11.15/11.35 assert (zenon_L898_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H1c4 zenon_H14f zenon_H89 zenon_H132 zenon_H176 zenon_H7c zenon_H149. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ]. % 11.15/11.35 exact (zenon_H14f zenon_Hc4). % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ]. % 11.15/11.35 apply (zenon_L91_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ]. % 11.15/11.35 exact (zenon_H176 zenon_H153). % 11.15/11.35 apply (zenon_L854_); trivial. % 11.15/11.35 (* end of lemma zenon_L898_ *) % 11.15/11.35 assert (zenon_L899_ : (((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) = (e3))) -> ((op (e0) (e3)) = (e1)) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H172 zenon_H41 zenon_H9b zenon_H38 zenon_H186 zenon_H65 zenon_Hdd zenon_H1c4 zenon_H14f zenon_H132 zenon_H176 zenon_H149 zenon_H14b zenon_H14e zenon_H7c zenon_H169. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.35 apply (zenon_L318_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.35 apply (zenon_L457_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.35 apply (zenon_L898_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.35 apply (zenon_L51_); trivial. % 11.15/11.35 apply (zenon_L295_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.35 exact (zenon_H14e zenon_H103). % 11.15/11.35 apply (zenon_L133_); trivial. % 11.15/11.35 (* end of lemma zenon_L899_ *) % 11.15/11.35 assert (zenon_L900_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e2) (e0)) = (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)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (e3))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False). % 11.15/11.35 do 0 intro. intros zenon_H1da zenon_H32 zenon_He6 zenon_H113 zenon_H166 zenon_H125 zenon_Ha5 zenon_H15a zenon_H138 zenon_H169 zenon_H14f zenon_H2d zenon_H15e zenon_H165 zenon_H200 zenon_H104 zenon_H80 zenon_H56 zenon_H176 zenon_H1ca zenon_H158 zenon_H19c zenon_H1f4 zenon_H235 zenon_H1a6 zenon_H186 zenon_Hb9 zenon_H75 zenon_H7c zenon_Hf7 zenon_H65. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.35 apply (zenon_L158_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.35 exact (zenon_He6 zenon_H1f). % 11.15/11.35 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.35 apply (zenon_L892_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.35 apply (zenon_L154_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.35 exact (zenon_H56 zenon_H24). % 11.15/11.35 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.35 apply (zenon_L889_); trivial. % 11.15/11.35 apply (zenon_L840_); trivial. % 11.15/11.35 (* end of lemma zenon_L900_ *) % 11.15/11.35 assert (zenon_L901_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H127 zenon_H165 zenon_H19c zenon_Hea zenon_H15e zenon_H176 zenon_H1ca zenon_H1f4 zenon_H2d zenon_H14f zenon_H169 zenon_H158 zenon_H138 zenon_H15a zenon_Ha5 zenon_H7c zenon_H125 zenon_H166 zenon_H1e zenon_H122 zenon_H14e zenon_H65 zenon_Hec. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ]. % 11.15/11.35 apply (zenon_L891_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ]. % 11.15/11.35 apply (zenon_L83_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ]. % 11.15/11.35 exact (zenon_H14e zenon_H103). % 11.15/11.35 apply (zenon_L246_); trivial. % 11.15/11.35 (* end of lemma zenon_L901_ *) % 11.15/11.35 assert (zenon_L902_ : (((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) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.15/11.35 do 0 intro. intros zenon_H135 zenon_He3 zenon_H241 zenon_H22 zenon_H3f zenon_H75 zenon_H65 zenon_H12d zenon_H14e zenon_H19e zenon_H1c4 zenon_H14f zenon_H132 zenon_H176 zenon_H7c zenon_H149. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H23 | zenon_intro zenon_H136 ]. % 11.15/11.35 apply (zenon_L459_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H11f | zenon_intro zenon_H137 ]. % 11.15/11.35 apply (zenon_L380_); trivial. % 11.15/11.35 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H46 | zenon_intro zenon_H89 ]. % 11.15/11.35 apply (zenon_L807_); trivial. % 11.15/11.35 apply (zenon_L898_); trivial. % 11.15/11.36 (* end of lemma zenon_L902_ *) % 11.15/11.36 assert (zenon_L903_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False). % 11.15/11.36 do 0 intro. intros zenon_He1 zenon_H149 zenon_H7c zenon_H176 zenon_H132 zenon_H14f zenon_H1c4 zenon_H19e zenon_H14e zenon_H12d zenon_H75 zenon_H3f zenon_H22 zenon_H241 zenon_H135 zenon_H24d zenon_H186 zenon_H10d zenon_H1dd zenon_H65 zenon_Hdd. % 11.15/11.36 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 11.15/11.36 apply (zenon_L902_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H42 | zenon_intro zenon_He4 ]. % 11.15/11.36 apply (zenon_L511_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H9b | zenon_intro zenon_Hdc ]. % 11.15/11.36 apply (zenon_L512_); trivial. % 11.15/11.36 apply (zenon_L51_); trivial. % 11.15/11.36 (* end of lemma zenon_L903_ *) % 11.15/11.36 assert (zenon_L904_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False). % 11.15/11.36 do 0 intro. intros zenon_H127 zenon_H150 zenon_H125 zenon_H156 zenon_H14e zenon_H65 zenon_Hec. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ]. % 11.15/11.36 apply (zenon_L113_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ]. % 11.15/11.36 apply (zenon_L428_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ]. % 11.15/11.36 exact (zenon_H14e zenon_H103). % 11.15/11.36 apply (zenon_L246_); trivial. % 11.15/11.36 (* end of lemma zenon_L904_ *) % 11.15/11.36 assert (zenon_L905_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.15/11.36 do 0 intro. intros zenon_H135 zenon_H31 zenon_H12c zenon_H22 zenon_H3f zenon_H130 zenon_H12d zenon_H132 zenon_H133. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H23 | zenon_intro zenon_H136 ]. % 11.15/11.36 apply (zenon_L88_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H11f | zenon_intro zenon_H137 ]. % 11.15/11.36 apply (zenon_L380_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H46 | zenon_intro zenon_H89 ]. % 11.15/11.36 apply (zenon_L90_); trivial. % 11.15/11.36 apply (zenon_L91_); trivial. % 11.15/11.36 (* end of lemma zenon_L905_ *) % 11.15/11.36 assert (zenon_L906_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.15/11.36 do 0 intro. intros zenon_H1c4 zenon_H14f zenon_H132 zenon_H12d zenon_H130 zenon_H3f zenon_H22 zenon_H12c zenon_H31 zenon_H135 zenon_H176 zenon_H7c zenon_H149. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ]. % 11.15/11.36 exact (zenon_H14f zenon_Hc4). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ]. % 11.15/11.36 apply (zenon_L905_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ]. % 11.15/11.36 exact (zenon_H176 zenon_H153). % 11.15/11.36 apply (zenon_L854_); trivial. % 11.15/11.36 (* end of lemma zenon_L906_ *) % 11.15/11.36 assert (zenon_L907_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.36 do 0 intro. intros zenon_H19e zenon_H14e zenon_H176 zenon_H135 zenon_H31 zenon_H12c zenon_H22 zenon_H3f zenon_H12d zenon_H132 zenon_H14f zenon_H1c4 zenon_H65 zenon_H149 zenon_H7c zenon_H75. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.36 exact (zenon_H14e zenon_H103). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.36 apply (zenon_L906_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.36 apply (zenon_L137_); trivial. % 11.15/11.36 apply (zenon_L586_); trivial. % 11.15/11.36 (* end of lemma zenon_L907_ *) % 11.15/11.36 assert (zenon_L908_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> ((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 (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.15/11.36 do 0 intro. intros zenon_H200 zenon_H104 zenon_H56 zenon_H165 zenon_H19c zenon_H15e zenon_H176 zenon_H1ca zenon_H1f4 zenon_H2d zenon_H14f zenon_H169 zenon_H158 zenon_H138 zenon_H15a zenon_Ha5 zenon_H7c zenon_H80 zenon_H125 zenon_H166 zenon_H1a9 zenon_H31. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.36 apply (zenon_L154_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.36 exact (zenon_H56 zenon_H24). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.36 apply (zenon_L891_); trivial. % 11.15/11.36 apply (zenon_L328_); trivial. % 11.15/11.36 (* end of lemma zenon_L908_ *) % 11.15/11.36 assert (zenon_L909_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (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) (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) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (e3))) -> (~((e0) = (e1))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (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 (e3) (e3)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False). % 11.15/11.36 do 0 intro. intros zenon_H127 zenon_H31 zenon_H1a9 zenon_H166 zenon_H125 zenon_H7c zenon_Ha5 zenon_H15a zenon_H138 zenon_H158 zenon_H169 zenon_H14f zenon_H2d zenon_H1f4 zenon_H1ca zenon_H176 zenon_H15e zenon_H19c zenon_H165 zenon_H56 zenon_H104 zenon_H200 zenon_H18e zenon_H113 zenon_H14e zenon_H65 zenon_Hec. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ]. % 11.15/11.36 apply (zenon_L908_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ]. % 11.15/11.36 apply (zenon_L170_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ]. % 11.15/11.36 exact (zenon_H14e zenon_H103). % 11.15/11.36 apply (zenon_L246_); trivial. % 11.15/11.36 (* end of lemma zenon_L909_ *) % 11.15/11.36 assert (zenon_L910_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (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 (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False). % 11.15/11.36 do 0 intro. intros zenon_H198 zenon_H1e zenon_H32 zenon_H10e zenon_Hc3 zenon_Hec zenon_H65 zenon_H14e zenon_H113 zenon_H200 zenon_H104 zenon_H56 zenon_H165 zenon_H19c zenon_H15e zenon_H176 zenon_H1ca zenon_H1f4 zenon_H2d zenon_H14f zenon_H169 zenon_H158 zenon_H138 zenon_H15a zenon_H125 zenon_H166 zenon_H1a9 zenon_H31 zenon_H127 zenon_Ha5 zenon_H7c. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H186 | zenon_intro zenon_H19a ]. % 11.15/11.36 apply (zenon_L158_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H6f | zenon_intro zenon_H19b ]. % 11.15/11.36 apply (zenon_L317_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H18e | zenon_intro zenon_H6e ]. % 11.15/11.36 apply (zenon_L909_); trivial. % 11.15/11.36 apply (zenon_L125_); trivial. % 11.15/11.36 (* end of lemma zenon_L910_ *) % 11.15/11.36 assert (zenon_L911_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.15/11.36 do 0 intro. intros zenon_H200 zenon_H104 zenon_H80 zenon_H56 zenon_H176 zenon_H7c zenon_H1ca zenon_H158 zenon_H156 zenon_H19c zenon_H1f4 zenon_H1a9 zenon_H31. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.36 apply (zenon_L154_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.36 exact (zenon_H56 zenon_H24). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.36 apply (zenon_L889_); trivial. % 11.15/11.36 apply (zenon_L328_); trivial. % 11.15/11.36 (* end of lemma zenon_L911_ *) % 11.15/11.36 assert (zenon_L912_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False). % 11.15/11.36 do 0 intro. intros zenon_H127 zenon_H31 zenon_H1a9 zenon_H1f4 zenon_H19c zenon_H158 zenon_H1ca zenon_H7c zenon_H176 zenon_H56 zenon_H104 zenon_H200 zenon_H125 zenon_H156 zenon_H14e zenon_H65 zenon_Hec. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ]. % 11.15/11.36 apply (zenon_L911_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ]. % 11.15/11.36 apply (zenon_L428_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ]. % 11.15/11.36 exact (zenon_H14e zenon_H103). % 11.15/11.36 apply (zenon_L246_); trivial. % 11.15/11.36 (* end of lemma zenon_L912_ *) % 11.15/11.36 assert (zenon_L913_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False). % 11.15/11.36 do 0 intro. intros zenon_Hd6 zenon_He6 zenon_H149 zenon_H1c4 zenon_H14f zenon_H132 zenon_H12d zenon_H22 zenon_H12c zenon_H135 zenon_H176 zenon_H14e zenon_H19e zenon_H42 zenon_H1dd zenon_H235 zenon_H31 zenon_Hb9 zenon_H1a6 zenon_H75 zenon_H7c zenon_Hf7 zenon_H65. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 exact (zenon_He6 zenon_H1f). % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 apply (zenon_L907_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 apply (zenon_L280_); trivial. % 11.15/11.36 apply (zenon_L821_); trivial. % 11.15/11.36 (* end of lemma zenon_L913_ *) % 11.15/11.36 assert (zenon_L914_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.15/11.36 do 0 intro. intros zenon_H180 zenon_H109 zenon_H65 zenon_Hdd zenon_H117 zenon_H1ca zenon_H149 zenon_H20f zenon_Hcc zenon_H1b9 zenon_H1dd zenon_H84 zenon_H2c zenon_H41 zenon_He1 zenon_H67 zenon_H1f0 zenon_H24d zenon_Hbe zenon_H81 zenon_H14b zenon_H1ab zenon_H1a6 zenon_H70 zenon_H1a9 zenon_H22e zenon_H1f zenon_H38 zenon_H198 zenon_Hb9 zenon_H1ae zenon_H15d zenon_Hd3 zenon_Hf7 zenon_H75 zenon_H235 zenon_H32 zenon_H1cd zenon_Ha5 zenon_H42 zenon_H7c zenon_H69. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.36 apply (zenon_L312_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.36 apply (zenon_L851_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.36 apply (zenon_L36_); trivial. % 11.15/11.36 apply (zenon_L186_); trivial. % 11.15/11.36 (* end of lemma zenon_L914_ *) % 11.15/11.36 assert (zenon_L915_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.15/11.36 do 0 intro. intros zenon_H1c4 zenon_H38 zenon_H156 zenon_H145 zenon_H176 zenon_H7c zenon_H149. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ]. % 11.15/11.36 apply (zenon_L239_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ]. % 11.15/11.36 exact (zenon_H145 zenon_H133). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ]. % 11.15/11.36 exact (zenon_H176 zenon_H153). % 11.15/11.36 apply (zenon_L854_); trivial. % 11.15/11.36 (* end of lemma zenon_L915_ *) % 11.15/11.36 assert (zenon_L916_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.15/11.36 do 0 intro. intros zenon_H1da zenon_H2a zenon_H69 zenon_H42 zenon_H1cd zenon_H32 zenon_H235 zenon_Hf7 zenon_Hd3 zenon_H15d zenon_H1ae zenon_Hb9 zenon_H198 zenon_H22e zenon_H1a9 zenon_H70 zenon_H1a6 zenon_H1ab zenon_H14b zenon_H81 zenon_Hbe zenon_H24d zenon_H1f0 zenon_H67 zenon_He1 zenon_H41 zenon_H2c zenon_H84 zenon_H1dd zenon_H1b9 zenon_Hcc zenon_H20f zenon_H1ca zenon_H117 zenon_Hdd zenon_H109 zenon_H180 zenon_H75 zenon_H65 zenon_H1f3 zenon_Ha5 zenon_H19e zenon_H1c4 zenon_H38 zenon_H145 zenon_H176 zenon_H7c zenon_H149. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.36 exact (zenon_H2a zenon_H1e). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.36 apply (zenon_L914_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.36 apply (zenon_L853_); trivial. % 11.15/11.36 apply (zenon_L915_); trivial. % 11.15/11.36 (* end of lemma zenon_L916_ *) % 11.15/11.36 assert (zenon_L917_ : (((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 (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e1)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False). % 11.15/11.36 do 0 intro. intros zenon_H20f zenon_H10e zenon_H1a7 zenon_H1f zenon_H1f0 zenon_Hdd zenon_H1dd zenon_H84 zenon_H85 zenon_H2c zenon_H41 zenon_He1 zenon_H65 zenon_Hcc. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_Hea | zenon_intro zenon_H210 ]. % 11.15/11.36 apply (zenon_L537_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H211 ]. % 11.15/11.36 apply (zenon_L305_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H10d | zenon_intro zenon_Hcb ]. % 11.15/11.36 apply (zenon_L845_); trivial. % 11.15/11.36 apply (zenon_L45_); trivial. % 11.15/11.36 (* end of lemma zenon_L917_ *) % 11.15/11.36 assert (zenon_L918_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (e2))) -> ((op (e3) (e3)) = (e2)) -> False). % 11.15/11.36 do 0 intro. intros zenon_H1cd zenon_H32 zenon_H85 zenon_H10e zenon_H15d zenon_H1ae zenon_Hb9 zenon_H69 zenon_H198 zenon_H38 zenon_H1f zenon_H22e zenon_H1a9 zenon_H70 zenon_H1a6 zenon_H1ab zenon_H14b zenon_H81 zenon_Hbe zenon_H24d zenon_H1f0 zenon_H67 zenon_He1 zenon_H41 zenon_H2c zenon_H84 zenon_H1dd zenon_H1b9 zenon_Hcc zenon_H20f zenon_H149 zenon_H1ca zenon_Ha5 zenon_H117 zenon_Hdd zenon_H65 zenon_H109 zenon_H7c. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H31 | zenon_intro zenon_H1ce ]. % 11.15/11.36 apply (zenon_L6_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1cf ]. % 11.15/11.36 apply (zenon_L917_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hba | zenon_intro zenon_H68 ]. % 11.15/11.36 apply (zenon_L850_); trivial. % 11.15/11.36 apply (zenon_L129_); trivial. % 11.15/11.36 (* end of lemma zenon_L918_ *) % 11.15/11.36 assert (zenon_L919_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.15/11.36 do 0 intro. intros zenon_H1da zenon_H2a zenon_H2d zenon_He5 zenon_H75 zenon_H65 zenon_H1f3 zenon_Ha5 zenon_H19e zenon_H1c4 zenon_H38 zenon_H145 zenon_H176 zenon_H7c zenon_H149. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.36 exact (zenon_H2a zenon_H1e). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.36 apply (zenon_L56_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.36 apply (zenon_L853_); trivial. % 11.15/11.36 apply (zenon_L915_); trivial. % 11.15/11.36 (* end of lemma zenon_L919_ *) % 11.15/11.36 assert (zenon_L920_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.15/11.36 do 0 intro. intros zenon_H1c4 zenon_H81 zenon_H150 zenon_H145 zenon_H176 zenon_H7c zenon_H149. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1c6 ]. % 11.15/11.36 apply (zenon_L116_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H133 | zenon_intro zenon_H1c7 ]. % 11.15/11.36 exact (zenon_H145 zenon_H133). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H153 | zenon_intro zenon_H73 ]. % 11.15/11.36 exact (zenon_H176 zenon_H153). % 11.15/11.36 apply (zenon_L854_); trivial. % 11.15/11.36 (* end of lemma zenon_L920_ *) % 11.15/11.36 assert (zenon_L921_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e1)) = (e2))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e3) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.15/11.36 do 0 intro. intros zenon_H16f zenon_H32 zenon_H31 zenon_H38 zenon_Ha5 zenon_H2d zenon_H2a zenon_H1da zenon_H75 zenon_H65 zenon_H1f3 zenon_H109 zenon_H19e zenon_H1c4 zenon_H81 zenon_H145 zenon_H176 zenon_H7c zenon_H149. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.36 apply (zenon_L6_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.36 apply (zenon_L919_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.36 apply (zenon_L856_); trivial. % 11.15/11.36 apply (zenon_L920_); trivial. % 11.15/11.36 (* end of lemma zenon_L921_ *) % 11.15/11.36 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H265. zenon_intro zenon_H275. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H135. zenon_intro zenon_H276. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_He1. zenon_intro zenon_H277. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H1ae. zenon_intro zenon_H278. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H20c. zenon_intro zenon_H279. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H1f9. zenon_intro zenon_H27a. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H20f. zenon_intro zenon_H27b. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H1ab. zenon_intro zenon_H27c. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H127. zenon_intro zenon_H27d. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H269. zenon_intro zenon_H27e. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_Hf8. zenon_intro zenon_H27f. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H235. zenon_intro zenon_H280. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H15a. zenon_intro zenon_H281. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H170. zenon_intro zenon_H282. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1f4. zenon_intro zenon_H78. % 11.15/11.36 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H173. zenon_intro zenon_H283. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H16f. zenon_intro zenon_H284. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H219. zenon_intro zenon_H285. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H1da. zenon_intro zenon_H286. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H180. zenon_intro zenon_H287. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H172. zenon_intro zenon_H288. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H14b. zenon_intro zenon_H289. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hd9. zenon_intro zenon_H28a. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H200. zenon_intro zenon_H28b. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1fc. zenon_intro zenon_H28c. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_Hd6. zenon_intro zenon_H28d. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H146. zenon_intro zenon_H28e. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H117. zenon_intro zenon_H28f. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H13a. zenon_intro zenon_H290. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Hd3. zenon_intro zenon_H291. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H13b. zenon_intro zenon_H292. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_Hbc. zenon_intro zenon_H293. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_Hfd. zenon_intro zenon_H294. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H1d4. zenon_intro zenon_H295. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_Hbe. zenon_intro zenon_H296. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H19e. zenon_intro zenon_H297. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H1b9. zenon_intro zenon_H298. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H7d. zenon_intro zenon_H299. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H225. zenon_intro zenon_H29a. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H166. zenon_intro zenon_H29b. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H1cd. zenon_intro zenon_H29c. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H15e. zenon_intro zenon_H29d. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H198. zenon_intro zenon_H29e. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H9e. zenon_intro zenon_H29f. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H119. zenon_intro zenon_H2a0. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H1c4. zenon_intro zenon_H244. % 11.15/11.36 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H1d. zenon_intro zenon_H2a1. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H122. zenon_intro zenon_H2a2. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H155. zenon_intro zenon_H2a3. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H104. zenon_intro zenon_H2a4. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_Hc5. zenon_intro zenon_H2a5. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H125. zenon_intro zenon_H2a6. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H22. zenon_intro zenon_H2a7. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H12d. zenon_intro zenon_H2a8. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H132. zenon_intro zenon_H2a9. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_Ha1. zenon_intro zenon_H2aa. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H162. zenon_intro zenon_H2ab. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H2ad. zenon_intro zenon_H2ac. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H1dd. zenon_intro zenon_H2ae. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_Hdd. zenon_intro zenon_H2af. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H84. zenon_intro zenon_H2b0. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_Hcc. zenon_intro zenon_H2b1. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H19c. zenon_intro zenon_H2b2. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Hf5. zenon_intro zenon_H2b3. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H1a9. zenon_intro zenon_H2b4. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_Hb9. zenon_intro zenon_H2b5. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H69. zenon_intro zenon_H2b6. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H1a6. zenon_intro zenon_H2b7. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H70. zenon_intro zenon_H2b8. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H75. zenon_intro zenon_H2b9. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H88. zenon_intro zenon_H2ba. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H41. zenon_intro zenon_H2bb. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H32. zenon_intro zenon_H2bc. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H241. zenon_intro zenon_H2bd. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H12c. zenon_intro zenon_H2be. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H24d. zenon_intro zenon_H2bf. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H1f7. zenon_intro zenon_H2c0. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H1f0. zenon_intro zenon_H2c1. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H22e. zenon_intro zenon_H2c2. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_He9. zenon_intro zenon_H2c3. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H121. zenon_intro zenon_H2c4. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H10e. zenon_intro zenon_H2c5. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H12a. zenon_intro zenon_H2c6. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_Hec. zenon_intro zenon_H2c7. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H113. zenon_intro zenon_H2c8. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_H143. zenon_intro zenon_H2c9. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H2cb. zenon_intro zenon_H2ca. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_Hf7. zenon_intro zenon_H2cc. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H138. zenon_intro zenon_H2cd. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H158. zenon_intro zenon_H2ce. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H169. zenon_intro zenon_H2cf. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H140. zenon_intro zenon_H2d0. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H16b. zenon_intro zenon_H1ca. % 11.15/11.36 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H2d. zenon_intro zenon_H2d1. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H109. zenon_intro zenon_H2d2. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H81. zenon_intro zenon_H2d3. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_Ha5. zenon_intro zenon_H2d4. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H38. zenon_intro zenon_H149. % 11.15/11.36 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H2d6. zenon_intro zenon_H2d5. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2d7 ]. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H2c. zenon_intro zenon_H2d9. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H26d. zenon_intro zenon_H2c. % 11.15/11.36 exact (zenon_H26d zenon_H2c). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2db | zenon_intro zenon_H2da ]. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1e. zenon_intro zenon_H2dc. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H24. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ]. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ]. % 11.15/11.36 exact (zenon_H56 zenon_H24). % 11.15/11.36 apply (zenon_L1_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ]. % 11.15/11.36 apply (zenon_L3_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ]. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H224. zenon_intro zenon_H223. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H254. zenon_intro zenon_H253. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H256. zenon_intro zenon_H255. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H258. zenon_intro zenon_H257. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H16d. zenon_intro zenon_H259. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H174. zenon_intro zenon_H25a. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H256. zenon_intro zenon_H16e. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H171 | zenon_intro zenon_He3 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_Hc3 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfc ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.36 apply (zenon_L5_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.36 exact (zenon_H1fd zenon_H23). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.36 exact (zenon_He0 zenon_He3). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.36 apply (zenon_L6_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.36 exact (zenon_H171 zenon_H175). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.36 exact (zenon_H171 zenon_H175). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.36 apply (zenon_L8_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.36 apply (zenon_L8_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 apply (zenon_L9_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 apply (zenon_L10_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 exact (zenon_Hbd zenon_Hc3). % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.15/11.36 apply (zenon_L52_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.15/11.36 apply (zenon_L35_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.15/11.36 apply (zenon_L55_); trivial. % 11.15/11.36 apply (zenon_L41_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.36 apply (zenon_L16_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 apply (zenon_L56_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 apply (zenon_L10_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 exact (zenon_Hbd zenon_Hc3). % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.15/11.36 apply (zenon_L43_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.15/11.36 apply (zenon_L57_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.15/11.36 apply (zenon_L46_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.15/11.36 apply (zenon_L35_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.15/11.36 apply (zenon_L55_); trivial. % 11.15/11.36 apply (zenon_L41_); trivial. % 11.15/11.36 apply (zenon_L47_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.36 apply (zenon_L58_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 apply (zenon_L9_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 apply (zenon_L10_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 exact (zenon_Hbd zenon_Hc3). % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.15/11.36 apply (zenon_L70_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.15/11.36 apply (zenon_L35_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.15/11.36 apply (zenon_L72_); trivial. % 11.15/11.36 apply (zenon_L41_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.36 apply (zenon_L16_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 apply (zenon_L56_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 apply (zenon_L10_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 exact (zenon_Hbd zenon_Hc3). % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.15/11.36 apply (zenon_L43_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.15/11.36 apply (zenon_L44_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.15/11.36 apply (zenon_L46_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.15/11.36 apply (zenon_L35_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.15/11.36 apply (zenon_L72_); trivial. % 11.15/11.36 apply (zenon_L41_); trivial. % 11.15/11.36 apply (zenon_L47_); trivial. % 11.15/11.36 apply (zenon_L73_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.36 apply (zenon_L80_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.36 apply (zenon_L8_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.36 apply (zenon_L30_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 apply (zenon_L1_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 apply (zenon_L10_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 exact (zenon_Hbd zenon_Hc3). % 11.15/11.36 apply (zenon_L103_); trivial. % 11.15/11.36 apply (zenon_L73_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.36 exact (zenon_H171 zenon_H175). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.36 apply (zenon_L8_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.36 apply (zenon_L28_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.36 apply (zenon_L34_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.36 apply (zenon_L42_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 apply (zenon_L56_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 apply (zenon_L10_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 exact (zenon_Hbd zenon_Hc3). % 11.15/11.36 apply (zenon_L106_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.36 apply (zenon_L107_); trivial. % 11.15/11.36 apply (zenon_L73_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.36 apply (zenon_L80_); trivial. % 11.15/11.36 apply (zenon_L108_); trivial. % 11.15/11.36 apply (zenon_L75_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.36 exact (zenon_H171 zenon_H175). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.36 exact (zenon_H171 zenon_H175). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.36 apply (zenon_L8_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.36 apply (zenon_L8_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 apply (zenon_L9_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 apply (zenon_L10_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 exact (zenon_Hbd zenon_Hc3). % 11.15/11.36 apply (zenon_L52_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.36 apply (zenon_L16_); trivial. % 11.15/11.36 apply (zenon_L49_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.36 apply (zenon_L58_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 apply (zenon_L9_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 apply (zenon_L10_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 exact (zenon_Hbd zenon_Hc3). % 11.15/11.36 apply (zenon_L70_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.36 apply (zenon_L26_); trivial. % 11.15/11.36 apply (zenon_L49_); trivial. % 11.15/11.36 apply (zenon_L73_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.36 apply (zenon_L109_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.36 apply (zenon_L8_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.36 apply (zenon_L30_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 apply (zenon_L111_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 apply (zenon_L10_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 exact (zenon_Hbd zenon_Hc3). % 11.15/11.36 apply (zenon_L112_); trivial. % 11.15/11.36 apply (zenon_L73_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.36 exact (zenon_H171 zenon_H175). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.36 apply (zenon_L8_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.36 apply (zenon_L50_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.36 apply (zenon_L107_); trivial. % 11.15/11.36 apply (zenon_L73_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.36 apply (zenon_L109_); trivial. % 11.15/11.36 apply (zenon_L108_); trivial. % 11.15/11.36 apply (zenon_L75_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.36 exact (zenon_H171 zenon_H175). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.36 exact (zenon_H171 zenon_H175). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.36 apply (zenon_L8_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.36 apply (zenon_L115_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.36 apply (zenon_L16_); trivial. % 11.15/11.36 apply (zenon_L116_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.36 apply (zenon_L8_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.36 apply (zenon_L117_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.36 apply (zenon_L16_); trivial. % 11.15/11.36 apply (zenon_L116_); trivial. % 11.15/11.36 apply (zenon_L118_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.36 exact (zenon_H171 zenon_H175). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.36 apply (zenon_L8_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.36 apply (zenon_L28_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.36 apply (zenon_L115_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.36 apply (zenon_L42_); trivial. % 11.15/11.36 apply (zenon_L116_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.36 apply (zenon_L107_); trivial. % 11.15/11.36 apply (zenon_L73_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.36 apply (zenon_L8_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.36 apply (zenon_L28_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.36 apply (zenon_L117_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.36 apply (zenon_L42_); trivial. % 11.15/11.36 apply (zenon_L116_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.36 apply (zenon_L107_); trivial. % 11.15/11.36 apply (zenon_L73_); trivial. % 11.15/11.36 apply (zenon_L118_); trivial. % 11.15/11.36 apply (zenon_L75_); trivial. % 11.15/11.36 exact (zenon_H118 zenon_H11c). % 11.15/11.36 exact (zenon_H171 zenon_H175). % 11.15/11.36 apply (zenon_L136_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.36 apply (zenon_L5_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.36 exact (zenon_H1fd zenon_H23). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.36 exact (zenon_He0 zenon_He3). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.36 apply (zenon_L6_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 apply (zenon_L56_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 apply (zenon_L10_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 exact (zenon_Hbd zenon_Hc3). % 11.15/11.36 apply (zenon_L141_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.36 exact (zenon_H171 zenon_H175). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.36 apply (zenon_L8_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.36 apply (zenon_L142_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.36 apply (zenon_L26_); trivial. % 11.15/11.36 apply (zenon_L49_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.36 apply (zenon_L143_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.36 apply (zenon_L8_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.36 apply (zenon_L30_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.36 apply (zenon_L58_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.36 apply (zenon_L142_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.36 apply (zenon_L26_); trivial. % 11.15/11.36 apply (zenon_L110_); trivial. % 11.15/11.36 apply (zenon_L73_); trivial. % 11.15/11.36 apply (zenon_L146_); trivial. % 11.15/11.36 exact (zenon_H118 zenon_H11c). % 11.15/11.36 exact (zenon_H171 zenon_H175). % 11.15/11.36 apply (zenon_L148_); trivial. % 11.15/11.36 apply (zenon_L150_); trivial. % 11.15/11.36 apply (zenon_L152_); trivial. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25d. zenon_intro zenon_H25c. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H272. zenon_intro zenon_H271. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H23b. zenon_intro zenon_H274. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H2e4. zenon_intro zenon_H2e3. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H1d8. zenon_intro zenon_H2e5. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H1d7. zenon_intro zenon_H2e6. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H238. zenon_intro zenon_H2e4. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H3c | zenon_intro zenon_H31 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1cc | zenon_intro zenon_H6f ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H114 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.36 apply (zenon_L5_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.36 exact (zenon_H1fd zenon_H23). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.36 apply (zenon_L153_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.15/11.36 apply (zenon_L154_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.15/11.36 apply (zenon_L35_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.15/11.36 apply (zenon_L155_); trivial. % 11.15/11.36 apply (zenon_L222_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.36 apply (zenon_L151_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 apply (zenon_L1_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 apply (zenon_L10_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 apply (zenon_L168_); trivial. % 11.15/11.36 exact (zenon_H199 zenon_H6f). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.36 apply (zenon_L206_); trivial. % 11.15/11.36 apply (zenon_L219_); trivial. % 11.15/11.36 apply (zenon_L220_); trivial. % 11.15/11.36 exact (zenon_H1af zenon_H31). % 11.15/11.36 exact (zenon_H1a4 zenon_H65). % 11.15/11.36 exact (zenon_H1cc zenon_Hca). % 11.15/11.36 exact (zenon_H3c zenon_H37). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H73 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ]. % 11.15/11.36 exact (zenon_H19f zenon_H114). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.36 apply (zenon_L5_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.36 exact (zenon_H1fd zenon_H23). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.36 apply (zenon_L151_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.36 apply (zenon_L156_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.36 apply (zenon_L249_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.36 apply (zenon_L77_); trivial. % 11.15/11.36 apply (zenon_L256_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.36 apply (zenon_L206_); trivial. % 11.15/11.36 apply (zenon_L227_); trivial. % 11.15/11.36 exact (zenon_H1af zenon_H31). % 11.15/11.36 exact (zenon_H1cc zenon_Hca). % 11.15/11.36 exact (zenon_H3c zenon_H37). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ]. % 11.15/11.36 exact (zenon_H19f zenon_H114). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.36 apply (zenon_L5_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.36 exact (zenon_H1fd zenon_H23). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 apply (zenon_L1_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 apply (zenon_L260_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 apply (zenon_L266_); trivial. % 11.15/11.36 exact (zenon_H199 zenon_H6f). % 11.15/11.36 exact (zenon_H1af zenon_H31). % 11.15/11.36 exact (zenon_H1cc zenon_Hca). % 11.15/11.36 exact (zenon_H3c zenon_H37). % 11.15/11.36 apply (zenon_L267_); trivial. % 11.15/11.36 apply (zenon_L268_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H2e7 ]. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H175. zenon_intro zenon_H2e9. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_He0. zenon_intro zenon_Ha9. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ]. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H273. zenon_intro zenon_H2ea. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H26c. zenon_intro zenon_H2eb. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2ec. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H264. zenon_intro zenon_H2ed. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H1f2. zenon_intro zenon_H268. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H26d | zenon_intro zenon_H2c ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ]. % 11.15/11.36 exact (zenon_Haa zenon_Ha9). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.36 exact (zenon_H26d zenon_H2c). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.36 apply (zenon_L151_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.36 apply (zenon_L269_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.36 apply (zenon_L271_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.36 apply (zenon_L290_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.36 apply (zenon_L65_); trivial. % 11.15/11.36 exact (zenon_H165 zenon_H68). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.36 apply (zenon_L158_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.36 exact (zenon_He6 zenon_H1f). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.36 apply (zenon_L270_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.36 apply (zenon_L291_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.36 apply (zenon_L292_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.36 apply (zenon_L294_); trivial. % 11.15/11.36 apply (zenon_L295_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.36 exact (zenon_He0 zenon_He3). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.36 apply (zenon_L151_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.36 apply (zenon_L151_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.36 exact (zenon_He6 zenon_H1f). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.36 apply (zenon_L270_); trivial. % 11.15/11.36 apply (zenon_L297_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.36 apply (zenon_L11_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.36 exact (zenon_He6 zenon_H1f). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.36 apply (zenon_L270_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 exact (zenon_He6 zenon_H1f). % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.36 apply (zenon_L74_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.36 apply (zenon_L272_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.36 apply (zenon_L299_); trivial. % 11.15/11.36 apply (zenon_L279_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 apply (zenon_L280_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.36 apply (zenon_L281_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.36 apply (zenon_L300_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.36 apply (zenon_L299_); trivial. % 11.15/11.36 apply (zenon_L78_); trivial. % 11.15/11.36 apply (zenon_L301_); trivial. % 11.15/11.36 exact (zenon_H56 zenon_H24). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ]. % 11.15/11.36 exact (zenon_H14f zenon_Hc4). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.36 exact (zenon_H26d zenon_H2c). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.36 apply (zenon_L151_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.36 apply (zenon_L269_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.36 apply (zenon_L11_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.36 exact (zenon_He6 zenon_H1f). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.36 apply (zenon_L270_); trivial. % 11.15/11.36 apply (zenon_L239_); trivial. % 11.15/11.36 apply (zenon_L302_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.36 exact (zenon_He0 zenon_He3). % 11.15/11.36 apply (zenon_L21_); trivial. % 11.15/11.36 exact (zenon_H56 zenon_H24). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ]. % 11.15/11.36 exact (zenon_Haa zenon_Ha9). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.36 exact (zenon_He6 zenon_H1f). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.36 exact (zenon_H26d zenon_H2c). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.36 apply (zenon_L2_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.36 exact (zenon_He0 zenon_He3). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.36 apply (zenon_L1_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.36 apply (zenon_L291_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.36 apply (zenon_L296_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.36 apply (zenon_L58_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.36 apply (zenon_L9_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.15/11.36 apply (zenon_L156_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.15/11.36 apply (zenon_L149_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.15/11.36 apply (zenon_L274_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.15/11.36 apply (zenon_L32_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.15/11.36 apply (zenon_L44_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.15/11.36 apply (zenon_L307_); trivial. % 11.15/11.36 apply (zenon_L309_); trivial. % 11.15/11.36 exact (zenon_H14f zenon_Hc4). % 11.15/11.36 apply (zenon_L73_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.36 apply (zenon_L74_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.36 apply (zenon_L149_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.36 apply (zenon_L310_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.36 apply (zenon_L311_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.36 apply (zenon_L27_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ]. % 11.15/11.36 apply (zenon_L75_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ]. % 11.15/11.36 apply (zenon_L76_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ]. % 11.15/11.36 apply (zenon_L77_); trivial. % 11.15/11.36 apply (zenon_L125_); trivial. % 11.15/11.36 apply (zenon_L279_); trivial. % 11.15/11.36 apply (zenon_L301_); trivial. % 11.15/11.36 exact (zenon_H165 zenon_H68). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.36 exact (zenon_He6 zenon_H1f). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ]. % 11.15/11.36 exact (zenon_H14f zenon_Hc4). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.36 exact (zenon_H26d zenon_H2c). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.36 apply (zenon_L2_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.36 exact (zenon_He0 zenon_He3). % 11.15/11.36 apply (zenon_L21_); trivial. % 11.15/11.36 apply (zenon_L312_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ]. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H248. zenon_intro zenon_H247. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H21e. zenon_intro zenon_H249. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H221. zenon_intro zenon_H24a. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H21f. zenon_intro zenon_H24b. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H24b). zenon_intro zenon_H248. zenon_intro zenon_H24c. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H21c. zenon_intro zenon_H220. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2a | zenon_intro zenon_H23 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.36 apply (zenon_L312_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.36 exact (zenon_H1fd zenon_H23). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.36 exact (zenon_He0 zenon_He3). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.36 apply (zenon_L6_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.36 exact (zenon_H2a zenon_H1e). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.36 exact (zenon_H2a zenon_H1e). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.36 apply (zenon_L56_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.36 apply (zenon_L291_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.36 apply (zenon_L296_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.36 apply (zenon_L58_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.36 exact (zenon_H1fd zenon_H23). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.36 apply (zenon_L314_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 apply (zenon_L56_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 exact (zenon_H40 zenon_H3f). % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.36 apply (zenon_L281_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.15/11.36 apply (zenon_L107_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.15/11.36 apply (zenon_L273_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.15/11.36 apply (zenon_L315_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.36 apply (zenon_L351_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.36 apply (zenon_L355_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.36 apply (zenon_L65_); trivial. % 11.15/11.36 apply (zenon_L21_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.36 apply (zenon_L326_); trivial. % 11.15/11.36 apply (zenon_L357_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.36 apply (zenon_L281_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.15/11.36 apply (zenon_L361_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.15/11.36 apply (zenon_L317_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.15/11.36 exact (zenon_H67 zenon_H66). % 11.15/11.36 apply (zenon_L362_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.36 apply (zenon_L363_); trivial. % 11.15/11.36 apply (zenon_L78_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 apply (zenon_L9_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 exact (zenon_H40 zenon_H3f). % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.36 apply (zenon_L281_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.15/11.36 apply (zenon_L318_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.15/11.36 apply (zenon_L364_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.15/11.36 apply (zenon_L315_); trivial. % 11.15/11.36 apply (zenon_L355_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.36 apply (zenon_L363_); trivial. % 11.15/11.36 apply (zenon_L357_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.36 apply (zenon_L281_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.15/11.36 apply (zenon_L284_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.15/11.36 apply (zenon_L317_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.15/11.36 exact (zenon_H67 zenon_H66). % 11.15/11.36 apply (zenon_L353_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.36 apply (zenon_L364_); trivial. % 11.15/11.36 apply (zenon_L78_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.36 apply (zenon_L350_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.36 apply (zenon_L367_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.36 apply (zenon_L368_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.36 apply (zenon_L65_); trivial. % 11.15/11.36 apply (zenon_L21_); trivial. % 11.15/11.36 apply (zenon_L73_); trivial. % 11.15/11.36 apply (zenon_L297_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.36 apply (zenon_L361_); trivial. % 11.15/11.36 apply (zenon_L301_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.36 apply (zenon_L60_); trivial. % 11.15/11.36 apply (zenon_L367_); trivial. % 11.15/11.36 exact (zenon_H15d zenon_H6e). % 11.15/11.36 exact (zenon_H67 zenon_H66). % 11.15/11.36 exact (zenon_H2a zenon_H1e). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ]. % 11.15/11.36 exact (zenon_H145 zenon_H133). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.36 apply (zenon_L312_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.36 exact (zenon_H1fd zenon_H23). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.36 exact (zenon_He0 zenon_He3). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.36 apply (zenon_L6_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.36 exact (zenon_H2a zenon_H1e). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.36 exact (zenon_H2a zenon_H1e). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.36 apply (zenon_L56_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.36 apply (zenon_L291_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.36 apply (zenon_L296_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.36 apply (zenon_L375_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.36 apply (zenon_L244_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.36 apply (zenon_L65_); trivial. % 11.15/11.36 apply (zenon_L21_); trivial. % 11.15/11.36 apply (zenon_L73_); trivial. % 11.15/11.36 apply (zenon_L376_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.36 apply (zenon_L304_); trivial. % 11.15/11.36 apply (zenon_L237_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.36 apply (zenon_L60_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.36 exact (zenon_H2a zenon_H1e). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.36 exact (zenon_H2a zenon_H1e). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.36 apply (zenon_L378_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.36 apply (zenon_L349_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.36 apply (zenon_L91_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.36 apply (zenon_L375_); trivial. % 11.15/11.36 apply (zenon_L73_); trivial. % 11.15/11.36 apply (zenon_L297_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.36 apply (zenon_L304_); trivial. % 11.15/11.36 apply (zenon_L301_); trivial. % 11.15/11.36 exact (zenon_H67 zenon_H66). % 11.15/11.36 exact (zenon_H2a zenon_H1e). % 11.15/11.36 apply (zenon_L379_); trivial. % 11.15/11.36 apply (zenon_L384_); trivial. % 11.15/11.36 apply (zenon_L385_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ]. % 11.15/11.36 apply (zenon_L386_); trivial. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25d. zenon_intro zenon_H25c. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H272. zenon_intro zenon_H271. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H23b. zenon_intro zenon_H274. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H2e4. zenon_intro zenon_H2e3. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H1d8. zenon_intro zenon_H2e5. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H1d7. zenon_intro zenon_H2e6. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H238. zenon_intro zenon_H2e4. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H3c | zenon_intro zenon_H31 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1cc | zenon_intro zenon_H6f ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H114 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H73 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.36 apply (zenon_L312_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.36 apply (zenon_L312_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.36 apply (zenon_L151_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.36 apply (zenon_L269_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.36 apply (zenon_L396_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.36 apply (zenon_L158_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.36 apply (zenon_L56_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.36 exact (zenon_H3c zenon_H37). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.36 apply (zenon_L292_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.36 exact (zenon_H3c zenon_H37). % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 apply (zenon_L56_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.36 apply (zenon_L281_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.36 apply (zenon_L272_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.15/11.36 apply (zenon_L156_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.15/11.36 apply (zenon_L273_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.15/11.36 apply (zenon_L292_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.15/11.36 exact (zenon_H1cc zenon_Hca). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.15/11.36 apply (zenon_L389_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.15/11.36 apply (zenon_L284_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.15/11.36 apply (zenon_L397_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.15/11.36 apply (zenon_L398_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.36 apply (zenon_L423_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.36 apply (zenon_L424_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.36 apply (zenon_L65_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8d | zenon_intro zenon_H9f ]. % 11.15/11.36 apply (zenon_L414_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha0 ]. % 11.15/11.36 apply (zenon_L427_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H7c ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H108 | zenon_intro zenon_H11d ]. % 11.15/11.36 apply (zenon_L406_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ]. % 11.15/11.36 apply (zenon_L432_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H7c ]. % 11.15/11.36 exact (zenon_H19f zenon_H114). % 11.15/11.36 apply (zenon_L229_); trivial. % 11.15/11.36 apply (zenon_L129_); trivial. % 11.15/11.36 apply (zenon_L437_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.15/11.36 apply (zenon_L388_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.15/11.36 apply (zenon_L277_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.15/11.36 apply (zenon_L292_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.15/11.36 exact (zenon_H1cc zenon_Hca). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.15/11.36 apply (zenon_L389_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.15/11.36 apply (zenon_L107_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.15/11.36 apply (zenon_L76_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.15/11.36 apply (zenon_L139_); trivial. % 11.15/11.36 apply (zenon_L432_); trivial. % 11.15/11.36 apply (zenon_L437_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 apply (zenon_L440_); trivial. % 11.15/11.36 exact (zenon_H199 zenon_H6f). % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.36 apply (zenon_L350_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 apply (zenon_L347_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.36 apply (zenon_L281_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.36 apply (zenon_L272_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.15/11.36 apply (zenon_L292_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.15/11.36 exact (zenon_H1cc zenon_Hca). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.36 apply (zenon_L270_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.36 apply (zenon_L389_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.36 apply (zenon_L140_); trivial. % 11.15/11.36 exact (zenon_H19f zenon_H114). % 11.15/11.36 apply (zenon_L426_); trivial. % 11.15/11.36 apply (zenon_L441_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 apply (zenon_L440_); trivial. % 11.15/11.36 exact (zenon_H199 zenon_H6f). % 11.15/11.36 apply (zenon_L295_); trivial. % 11.15/11.36 apply (zenon_L442_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.36 apply (zenon_L60_); trivial. % 11.15/11.36 apply (zenon_L423_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.36 exact (zenon_He0 zenon_He3). % 11.15/11.36 exact (zenon_H1af zenon_H31). % 11.15/11.36 exact (zenon_H1a4 zenon_H65). % 11.15/11.36 exact (zenon_H1cc zenon_Hca). % 11.15/11.36 exact (zenon_H3c zenon_H37). % 11.15/11.36 apply (zenon_L445_); trivial. % 11.15/11.36 apply (zenon_L446_); trivial. % 11.15/11.36 apply (zenon_L451_); trivial. % 11.15/11.36 apply (zenon_L452_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ef | zenon_intro zenon_H2ee ]. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H37. zenon_intro zenon_H2f0. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H1af. zenon_intro zenon_H68. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ]. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H273. zenon_intro zenon_H2ea. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H26c. zenon_intro zenon_H2eb. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2ec. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H264. zenon_intro zenon_H2ed. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H1f2. zenon_intro zenon_H268. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H26d | zenon_intro zenon_H2c ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ]. % 11.15/11.36 exact (zenon_H165 zenon_H68). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.36 exact (zenon_H26d zenon_H2c). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.36 apply (zenon_L8_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.36 apply (zenon_L269_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.36 apply (zenon_L11_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.36 exact (zenon_He6 zenon_H1f). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.36 apply (zenon_L291_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.36 apply (zenon_L388_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.36 apply (zenon_L36_); trivial. % 11.15/11.36 apply (zenon_L455_); trivial. % 11.15/11.36 apply (zenon_L239_); trivial. % 11.15/11.36 apply (zenon_L458_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.36 apply (zenon_L464_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.36 apply (zenon_L465_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.36 exact (zenon_He6 zenon_H1f). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.36 apply (zenon_L466_); trivial. % 11.15/11.36 apply (zenon_L239_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.36 apply (zenon_L467_); trivial. % 11.15/11.36 apply (zenon_L458_); trivial. % 11.15/11.36 exact (zenon_H1af zenon_H31). % 11.15/11.36 exact (zenon_Haa zenon_Ha9). % 11.15/11.36 exact (zenon_H56 zenon_H24). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ]. % 11.15/11.36 exact (zenon_H165 zenon_H68). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.36 apply (zenon_L8_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.36 exact (zenon_He6 zenon_H1f). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.36 apply (zenon_L270_); trivial. % 11.15/11.36 apply (zenon_L239_); trivial. % 11.15/11.36 exact (zenon_H56 zenon_H24). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ]. % 11.15/11.36 exact (zenon_H165 zenon_H68). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.36 apply (zenon_L291_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.36 apply (zenon_L224_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.36 exact (zenon_H14e zenon_H103). % 11.15/11.36 apply (zenon_L110_); trivial. % 11.15/11.36 exact (zenon_Haa zenon_Ha9). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.36 exact (zenon_He6 zenon_H1f). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ]. % 11.15/11.36 exact (zenon_H14e zenon_H103). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.36 exact (zenon_H26d zenon_H2c). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.36 apply (zenon_L2_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.36 apply (zenon_L155_); trivial. % 11.15/11.36 exact (zenon_H1af zenon_H31). % 11.15/11.36 apply (zenon_L468_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ]. % 11.15/11.36 apply (zenon_L507_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ]. % 11.15/11.36 apply (zenon_L547_); trivial. % 11.15/11.36 apply (zenon_L548_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H2f1 ]. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H24. zenon_intro zenon_H2f3. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_He6. zenon_intro zenon_H1e. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ]. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ]. % 11.15/11.36 exact (zenon_H56 zenon_H24). % 11.15/11.36 exact (zenon_He6 zenon_H1f). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ]. % 11.15/11.36 apply (zenon_L3_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ]. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H224. zenon_intro zenon_H223. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H254. zenon_intro zenon_H253. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H256. zenon_intro zenon_H255. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H258. zenon_intro zenon_H257. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H16d. zenon_intro zenon_H259. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H174. zenon_intro zenon_H25a. % 11.15/11.36 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H256. zenon_intro zenon_H16e. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H171 | zenon_intro zenon_He3 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_Hc3 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfc ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.36 apply (zenon_L5_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.36 apply (zenon_L2_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.36 exact (zenon_He0 zenon_He3). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.36 exact (zenon_H171 zenon_H175). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.36 exact (zenon_H171 zenon_H175). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 exact (zenon_He6 zenon_H1f). % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 apply (zenon_L10_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 exact (zenon_Hbd zenon_Hc3). % 11.15/11.36 apply (zenon_L554_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.36 apply (zenon_L552_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.36 apply (zenon_L8_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.36 apply (zenon_L30_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 exact (zenon_He6 zenon_H1f). % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 apply (zenon_L10_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 exact (zenon_Hbd zenon_Hc3). % 11.15/11.36 apply (zenon_L103_); trivial. % 11.15/11.36 apply (zenon_L73_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.36 exact (zenon_H171 zenon_H175). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.36 apply (zenon_L8_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.36 apply (zenon_L28_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 exact (zenon_He6 zenon_H1f). % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 apply (zenon_L10_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 exact (zenon_Hbd zenon_Hc3). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H11f | zenon_intro zenon_H147 ]. % 11.15/11.36 apply (zenon_L296_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H3f | zenon_intro zenon_H148 ]. % 11.15/11.36 apply (zenon_L82_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H12e | zenon_intro zenon_H141 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.15/11.36 apply (zenon_L554_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.15/11.36 exact (zenon_H118 zenon_H11c). % 11.15/11.36 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.15/11.36 apply (zenon_L556_); trivial. % 11.15/11.36 apply (zenon_L32_); trivial. % 11.15/11.36 apply (zenon_L561_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.36 apply (zenon_L42_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.36 exact (zenon_He6 zenon_H1f). % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.36 apply (zenon_L10_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.36 exact (zenon_Hbd zenon_Hc3). % 11.15/11.36 apply (zenon_L106_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.36 apply (zenon_L107_); trivial. % 11.15/11.36 apply (zenon_L73_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.36 apply (zenon_L562_); trivial. % 11.15/11.36 apply (zenon_L549_); trivial. % 11.15/11.36 apply (zenon_L75_); trivial. % 11.15/11.36 exact (zenon_H118 zenon_H11c). % 11.15/11.36 exact (zenon_H171 zenon_H175). % 11.15/11.36 apply (zenon_L136_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ]. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.36 apply (zenon_L5_); trivial. % 11.15/11.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.36 apply (zenon_L2_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.37 exact (zenon_He0 zenon_He3). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_L10_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 exact (zenon_Hbd zenon_Hc3). % 11.15/11.37 apply (zenon_L141_); trivial. % 11.15/11.37 exact (zenon_H118 zenon_H11c). % 11.15/11.37 exact (zenon_H171 zenon_H175). % 11.15/11.37 apply (zenon_L148_); trivial. % 11.15/11.37 apply (zenon_L150_); trivial. % 11.15/11.37 apply (zenon_L152_); trivial. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25d. zenon_intro zenon_H25c. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H272. zenon_intro zenon_H271. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H23b. zenon_intro zenon_H274. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H2e4. zenon_intro zenon_H2e3. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H1d8. zenon_intro zenon_H2e5. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H1d7. zenon_intro zenon_H2e6. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H238. zenon_intro zenon_H2e4. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H3c | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1cc | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H114 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H73 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.37 apply (zenon_L5_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.37 apply (zenon_L2_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 apply (zenon_L153_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L151_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.37 apply (zenon_L156_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_L10_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.15/11.37 apply (zenon_L168_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.15/11.37 apply (zenon_L35_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.15/11.37 apply (zenon_L155_); trivial. % 11.15/11.37 apply (zenon_L569_); trivial. % 11.15/11.37 exact (zenon_H199 zenon_H6f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_L183_); trivial. % 11.15/11.37 apply (zenon_L203_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_L10_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.15/11.37 apply (zenon_L109_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.15/11.37 apply (zenon_L35_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.15/11.37 apply (zenon_L155_); trivial. % 11.15/11.37 apply (zenon_L569_); trivial. % 11.15/11.37 exact (zenon_H199 zenon_H6f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_L183_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_L10_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_L210_); trivial. % 11.15/11.37 exact (zenon_H199 zenon_H6f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L30_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_L183_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_L10_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_L574_); trivial. % 11.15/11.37 exact (zenon_H199 zenon_H6f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_L206_); trivial. % 11.15/11.37 apply (zenon_L575_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L151_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_L10_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_L168_); trivial. % 11.15/11.37 exact (zenon_H199 zenon_H6f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_L206_); trivial. % 11.15/11.37 apply (zenon_L575_); trivial. % 11.15/11.37 apply (zenon_L576_); trivial. % 11.15/11.37 exact (zenon_H1af zenon_H31). % 11.15/11.37 exact (zenon_H1a4 zenon_H65). % 11.15/11.37 exact (zenon_H1cc zenon_Hca). % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.37 apply (zenon_L5_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.37 apply (zenon_L2_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 apply (zenon_L153_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_L10_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.37 apply (zenon_L127_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.37 apply (zenon_L264_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.37 apply (zenon_L157_); trivial. % 11.15/11.37 apply (zenon_L265_); trivial. % 11.15/11.37 exact (zenon_H199 zenon_H6f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L151_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L578_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_L206_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.15/11.37 apply (zenon_L577_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.15/11.37 apply (zenon_L149_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 11.15/11.37 apply (zenon_L26_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 11.15/11.37 apply (zenon_L389_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 11.15/11.37 exact (zenon_H1a4 zenon_H65). % 11.15/11.37 apply (zenon_L23_); trivial. % 11.15/11.37 apply (zenon_L32_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.37 apply (zenon_L26_); trivial. % 11.15/11.37 apply (zenon_L579_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_L183_); trivial. % 11.15/11.37 apply (zenon_L184_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L151_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L578_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_L206_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_L10_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.37 apply (zenon_L120_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.37 apply (zenon_L188_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.37 apply (zenon_L167_); trivial. % 11.15/11.37 apply (zenon_L262_); trivial. % 11.15/11.37 exact (zenon_H199 zenon_H6f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_L183_); trivial. % 11.15/11.37 apply (zenon_L258_); trivial. % 11.15/11.37 exact (zenon_H1af zenon_H31). % 11.15/11.37 exact (zenon_H1cc zenon_Hca). % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H73 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ]. % 11.15/11.37 exact (zenon_H19f zenon_H114). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.37 apply (zenon_L5_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.37 apply (zenon_L2_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L151_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.37 apply (zenon_L156_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L583_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_L183_); trivial. % 11.15/11.37 apply (zenon_L248_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L583_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_L51_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.37 apply (zenon_L74_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.37 apply (zenon_L149_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.37 apply (zenon_L254_); trivial. % 11.15/11.37 apply (zenon_L231_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.37 apply (zenon_L16_); trivial. % 11.15/11.37 apply (zenon_L247_); trivial. % 11.15/11.37 apply (zenon_L256_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_L206_); trivial. % 11.15/11.37 apply (zenon_L227_); trivial. % 11.15/11.37 exact (zenon_H1af zenon_H31). % 11.15/11.37 exact (zenon_H1cc zenon_Hca). % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ]. % 11.15/11.37 exact (zenon_H19f zenon_H114). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.37 apply (zenon_L5_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.37 apply (zenon_L2_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_L260_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_L266_); trivial. % 11.15/11.37 exact (zenon_H199 zenon_H6f). % 11.15/11.37 exact (zenon_H1af zenon_H31). % 11.15/11.37 exact (zenon_H1cc zenon_Hca). % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_L267_); trivial. % 11.15/11.37 apply (zenon_L268_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H2f4 ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H3f. zenon_intro zenon_H2f6. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H40. zenon_intro zenon_H3f. % 11.15/11.37 exact (zenon_H40 zenon_H3f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H2f7 ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H11c. zenon_intro zenon_H2f9. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_Hbd. zenon_intro zenon_H66. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H273. zenon_intro zenon_H2ea. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H26c. zenon_intro zenon_H2eb. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2ec. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H264. zenon_intro zenon_H2ed. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H1f2. zenon_intro zenon_H268. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H26d | zenon_intro zenon_H2c ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.37 exact (zenon_H26d zenon_H2c). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 exact (zenon_H26d zenon_H2c). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L151_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L388_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_L272_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 exact (zenon_Hbd zenon_Hc3). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.15/11.37 apply (zenon_L621_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.15/11.37 apply (zenon_L515_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.15/11.37 exact (zenon_Haa zenon_Ha9). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ]. % 11.15/11.37 apply (zenon_L206_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ]. % 11.15/11.37 apply (zenon_L352_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ]. % 11.15/11.37 exact (zenon_Haa zenon_Ha9). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.37 exact (zenon_H14e zenon_H103). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.37 apply (zenon_L584_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.37 apply (zenon_L145_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.37 apply (zenon_L587_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.37 apply (zenon_L622_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.37 apply (zenon_L66_); trivial. % 11.15/11.37 apply (zenon_L22_); trivial. % 11.15/11.37 apply (zenon_L608_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L269_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L98_); trivial. % 11.15/11.37 apply (zenon_L614_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_L621_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L151_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L388_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 apply (zenon_L8_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L292_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_L272_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 exact (zenon_Hbd zenon_Hc3). % 11.15/11.37 apply (zenon_L591_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.37 apply (zenon_L127_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.37 apply (zenon_L620_); trivial. % 11.15/11.37 apply (zenon_L623_); trivial. % 11.15/11.37 apply (zenon_L608_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L624_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L98_); trivial. % 11.15/11.37 apply (zenon_L614_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 exact (zenon_H26d zenon_H2c). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_L626_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_L615_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L609_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L624_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L467_); trivial. % 11.15/11.37 apply (zenon_L614_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 exact (zenon_H26d zenon_H2c). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L151_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L253_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 apply (zenon_L8_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ]. % 11.15/11.37 apply (zenon_L627_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ]. % 11.15/11.37 apply (zenon_L352_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ]. % 11.15/11.37 exact (zenon_Haa zenon_Ha9). % 11.15/11.37 apply (zenon_L629_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.37 apply (zenon_L88_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.37 apply (zenon_L599_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_L272_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 exact (zenon_Hbd zenon_Hc3). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.15/11.37 apply (zenon_L600_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.15/11.37 apply (zenon_L599_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.15/11.37 exact (zenon_Haa zenon_Ha9). % 11.15/11.37 apply (zenon_L41_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.15/11.37 apply (zenon_L285_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.15/11.37 apply (zenon_L288_); trivial. % 11.15/11.37 apply (zenon_L47_); trivial. % 11.15/11.37 apply (zenon_L73_); trivial. % 11.15/11.37 apply (zenon_L75_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L630_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L98_); trivial. % 11.15/11.37 apply (zenon_L301_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L602_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L630_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L98_); trivial. % 11.15/11.37 apply (zenon_L614_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L631_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L624_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L98_); trivial. % 11.15/11.37 apply (zenon_L301_); trivial. % 11.15/11.37 exact (zenon_H165 zenon_H68). % 11.15/11.37 exact (zenon_Haa zenon_Ha9). % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ]. % 11.15/11.37 exact (zenon_H14f zenon_Hc4). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.37 exact (zenon_H26d zenon_H2c). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L633_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L253_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_L636_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_L272_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 exact (zenon_Hbd zenon_Hc3). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.15/11.37 apply (zenon_L43_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.15/11.37 apply (zenon_L285_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.15/11.37 apply (zenon_L292_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.15/11.37 apply (zenon_L303_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.15/11.37 apply (zenon_L637_); trivial. % 11.15/11.37 apply (zenon_L426_); trivial. % 11.15/11.37 apply (zenon_L47_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L638_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L98_); trivial. % 11.15/11.37 apply (zenon_L614_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_L639_); trivial. % 11.15/11.37 apply (zenon_L21_); trivial. % 11.15/11.37 exact (zenon_Haa zenon_Ha9). % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_L306_); trivial. % 11.15/11.37 apply (zenon_L640_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L5_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 apply (zenon_L5_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L398_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L312_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L81_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_L612_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 apply (zenon_L468_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L296_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.37 apply (zenon_L58_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.37 apply (zenon_L641_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.37 apply (zenon_L269_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.37 apply (zenon_L599_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.15/11.37 apply (zenon_L336_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.15/11.37 apply (zenon_L321_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.15/11.37 apply (zenon_L637_); trivial. % 11.15/11.37 apply (zenon_L244_); trivial. % 11.15/11.37 apply (zenon_L643_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.37 apply (zenon_L641_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.37 apply (zenon_L447_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.37 apply (zenon_L599_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.15/11.37 apply (zenon_L336_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.15/11.37 apply (zenon_L285_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.15/11.37 apply (zenon_L87_); trivial. % 11.15/11.37 apply (zenon_L244_); trivial. % 11.15/11.37 apply (zenon_L643_); trivial. % 11.15/11.37 exact (zenon_H14f zenon_Hc4). % 11.15/11.37 apply (zenon_L184_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L98_); trivial. % 11.15/11.37 apply (zenon_L614_); trivial. % 11.15/11.37 exact (zenon_H165 zenon_H68). % 11.15/11.37 exact (zenon_Haa zenon_Ha9). % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_L644_); trivial. % 11.15/11.37 apply (zenon_L306_); trivial. % 11.15/11.37 apply (zenon_L640_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H248. zenon_intro zenon_H247. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H21e. zenon_intro zenon_H249. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ]. % 11.15/11.37 exact (zenon_H67 zenon_H66). % 11.15/11.37 apply (zenon_L584_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ]. % 11.15/11.37 apply (zenon_L645_); trivial. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25d. zenon_intro zenon_H25c. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H272. zenon_intro zenon_H271. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H23b. zenon_intro zenon_H274. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H2e4. zenon_intro zenon_H2e3. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H1d8. zenon_intro zenon_H2e5. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H1d7. zenon_intro zenon_H2e6. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H238. zenon_intro zenon_H2e4. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H3c | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1cc | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H114 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L5_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 apply (zenon_L5_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L312_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L81_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.37 apply (zenon_L312_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.37 apply (zenon_L224_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L296_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_L652_); trivial. % 11.15/11.37 apply (zenon_L653_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L296_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_L654_); trivial. % 11.15/11.37 apply (zenon_L653_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.37 apply (zenon_L312_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.37 apply (zenon_L224_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.37 apply (zenon_L657_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L296_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_L654_); trivial. % 11.15/11.37 apply (zenon_L184_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L398_); trivial. % 11.15/11.37 apply (zenon_L658_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L98_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 apply (zenon_L158_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L659_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L253_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.37 apply (zenon_L318_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.37 apply (zenon_L224_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L661_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.37 apply (zenon_L9_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.37 apply (zenon_L662_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.37 apply (zenon_L641_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.37 apply (zenon_L149_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.37 apply (zenon_L447_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.37 apply (zenon_L59_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.37 apply (zenon_L599_); trivial. % 11.15/11.37 apply (zenon_L650_); trivial. % 11.15/11.37 apply (zenon_L665_); trivial. % 11.15/11.37 apply (zenon_L295_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L661_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.37 apply (zenon_L9_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.37 apply (zenon_L662_); trivial. % 11.15/11.37 apply (zenon_L110_); trivial. % 11.15/11.37 apply (zenon_L295_); trivial. % 11.15/11.37 apply (zenon_L406_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L398_); trivial. % 11.15/11.37 apply (zenon_L658_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 apply (zenon_L447_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_L666_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L667_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L269_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L98_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 apply (zenon_L158_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L659_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L253_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.37 apply (zenon_L318_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.37 apply (zenon_L224_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.37 apply (zenon_L109_); trivial. % 11.15/11.37 apply (zenon_L668_); trivial. % 11.15/11.37 apply (zenon_L406_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L398_); trivial. % 11.15/11.37 apply (zenon_L658_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L667_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L269_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L98_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L659_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L388_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.37 apply (zenon_L169_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.37 apply (zenon_L669_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.37 apply (zenon_L66_); trivial. % 11.15/11.37 apply (zenon_L237_); trivial. % 11.15/11.37 apply (zenon_L406_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L667_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L670_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L467_); trivial. % 11.15/11.37 apply (zenon_L671_); trivial. % 11.15/11.37 exact (zenon_H1af zenon_H31). % 11.15/11.37 exact (zenon_H1a4 zenon_H65). % 11.15/11.37 exact (zenon_H1cc zenon_Hca). % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_L672_); trivial. % 11.15/11.37 apply (zenon_L673_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1cc | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H114 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ]. % 11.15/11.37 exact (zenon_H1af zenon_H31). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L8_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 apply (zenon_L465_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 apply (zenon_L674_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L398_); trivial. % 11.15/11.37 apply (zenon_L658_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L98_); trivial. % 11.15/11.37 apply (zenon_L301_); trivial. % 11.15/11.37 exact (zenon_H1a4 zenon_H65). % 11.15/11.37 exact (zenon_H1cc zenon_Hca). % 11.15/11.37 apply (zenon_L672_); trivial. % 11.15/11.37 apply (zenon_L673_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2fb | zenon_intro zenon_H2fa ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_Hca. zenon_intro zenon_H2fc. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H199. zenon_intro zenon_H6e. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H273. zenon_intro zenon_H2ea. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H26c. zenon_intro zenon_H2eb. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2ec. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H264. zenon_intro zenon_H2ed. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H1f2. zenon_intro zenon_H268. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H26d | zenon_intro zenon_H2c ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.37 exact (zenon_H26d zenon_H2c). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L151_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L388_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.37 apply (zenon_L8_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.37 apply (zenon_L321_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_L514_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ]. % 11.15/11.37 apply (zenon_L676_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ]. % 11.15/11.37 apply (zenon_L303_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ]. % 11.15/11.37 apply (zenon_L246_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hfa ]. % 11.15/11.37 exact (zenon_Haa zenon_Ha9). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ]. % 11.15/11.37 apply (zenon_L207_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H65 ]. % 11.15/11.37 apply (zenon_L145_); trivial. % 11.15/11.37 apply (zenon_L119_); trivial. % 11.15/11.37 exact (zenon_H199 zenon_H6f). % 11.15/11.37 exact (zenon_H14f zenon_Hc4). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 apply (zenon_L8_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L57_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_L676_); trivial. % 11.15/11.37 apply (zenon_L184_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L269_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L677_); trivial. % 11.15/11.37 apply (zenon_L237_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L679_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 apply (zenon_L465_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.37 apply (zenon_L466_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.37 apply (zenon_L321_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.37 apply (zenon_L350_); trivial. % 11.15/11.37 exact (zenon_H14f zenon_Hc4). % 11.15/11.37 apply (zenon_L376_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L467_); trivial. % 11.15/11.37 apply (zenon_L237_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 exact (zenon_H26d zenon_H2c). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L151_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L678_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_L682_); trivial. % 11.15/11.37 apply (zenon_L75_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L688_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L677_); trivial. % 11.15/11.37 apply (zenon_L301_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_L690_); trivial. % 11.15/11.37 apply (zenon_L691_); trivial. % 11.15/11.37 exact (zenon_H165 zenon_H68). % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_L692_); trivial. % 11.15/11.37 apply (zenon_L699_); trivial. % 11.15/11.37 apply (zenon_L700_); trivial. % 11.15/11.37 apply (zenon_L701_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H248. zenon_intro zenon_H247. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H21e. zenon_intro zenon_H249. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H221. zenon_intro zenon_H24a. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ]. % 11.15/11.37 exact (zenon_H15d zenon_H6e). % 11.15/11.37 apply (zenon_L675_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H224. zenon_intro zenon_H223. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H254. zenon_intro zenon_H253. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H256. zenon_intro zenon_H255. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H258. zenon_intro zenon_H257. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H16d. zenon_intro zenon_H259. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H174. zenon_intro zenon_H25a. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H256. zenon_intro zenon_H16e. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H171 | zenon_intro zenon_He3 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_Hc3 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfc ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H176 | zenon_intro zenon_H7c ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L702_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 apply (zenon_L702_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 exact (zenon_H171 zenon_H175). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L81_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.37 exact (zenon_H171 zenon_H175). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.37 apply (zenon_L224_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.37 apply (zenon_L56_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.37 apply (zenon_L44_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.37 apply (zenon_L704_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.37 apply (zenon_L719_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.37 apply (zenon_L44_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.37 apply (zenon_L720_); trivial. % 11.15/11.37 apply (zenon_L723_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.37 apply (zenon_L468_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.37 apply (zenon_L9_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.37 apply (zenon_L641_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.37 apply (zenon_L44_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.37 apply (zenon_L704_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.37 apply (zenon_L269_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.37 apply (zenon_L44_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.37 apply (zenon_L720_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.37 apply (zenon_L224_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.37 exact (zenon_H118 zenon_H11c). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.37 apply (zenon_L512_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.15/11.37 apply (zenon_L722_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.15/11.37 exact (zenon_H118 zenon_H11c). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.15/11.37 apply (zenon_L26_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.15/11.37 apply (zenon_L344_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ]. % 11.15/11.37 apply (zenon_L350_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ]. % 11.15/11.37 apply (zenon_L724_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ]. % 11.15/11.37 apply (zenon_L37_); trivial. % 11.15/11.37 apply (zenon_L377_); trivial. % 11.15/11.37 apply (zenon_L189_); trivial. % 11.15/11.37 apply (zenon_L275_); trivial. % 11.15/11.37 apply (zenon_L110_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.37 exact (zenon_H171 zenon_H175). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.37 apply (zenon_L224_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 apply (zenon_L468_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L57_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.37 apply (zenon_L56_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.37 apply (zenon_L44_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.37 apply (zenon_L719_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.37 apply (zenon_L59_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.37 apply (zenon_L725_); trivial. % 11.15/11.37 apply (zenon_L215_); trivial. % 11.15/11.37 apply (zenon_L726_); trivial. % 11.15/11.37 apply (zenon_L184_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 apply (zenon_L468_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L296_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.37 apply (zenon_L58_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.37 apply (zenon_L321_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.37 apply (zenon_L269_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.37 apply (zenon_L44_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.37 apply (zenon_L729_); trivial. % 11.15/11.37 apply (zenon_L215_); trivial. % 11.15/11.37 apply (zenon_L110_); trivial. % 11.15/11.37 apply (zenon_L184_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L718_); trivial. % 11.15/11.37 apply (zenon_L376_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 apply (zenon_L11_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 exact (zenon_H171 zenon_H175). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L733_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_L36_); trivial. % 11.15/11.37 apply (zenon_L734_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L718_); trivial. % 11.15/11.37 apply (zenon_L376_); trivial. % 11.15/11.37 apply (zenon_L237_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.37 apply (zenon_L719_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.37 exact (zenon_He0 zenon_He3). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L702_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 exact (zenon_H171 zenon_H175). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L81_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.37 apply (zenon_L705_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.37 apply (zenon_L44_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.37 apply (zenon_L704_); trivial. % 11.15/11.37 apply (zenon_L328_); trivial. % 11.15/11.37 apply (zenon_L75_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 apply (zenon_L702_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 exact (zenon_H171 zenon_H175). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H4c | zenon_intro zenon_H7e ]. % 11.15/11.37 apply (zenon_L470_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H5d | zenon_intro zenon_H7f ]. % 11.15/11.37 apply (zenon_L323_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H65 | zenon_intro zenon_H74 ]. % 11.15/11.37 apply (zenon_L680_); trivial. % 11.15/11.37 apply (zenon_L528_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L57_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_L71_); trivial. % 11.15/11.37 apply (zenon_L732_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_L36_); trivial. % 11.15/11.37 apply (zenon_L75_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L718_); trivial. % 11.15/11.37 apply (zenon_L376_); trivial. % 11.15/11.37 apply (zenon_L237_); trivial. % 11.15/11.37 exact (zenon_H79 zenon_H7c). % 11.15/11.37 exact (zenon_H118 zenon_H11c). % 11.15/11.37 exact (zenon_H171 zenon_H175). % 11.15/11.37 apply (zenon_L735_); trivial. % 11.15/11.37 apply (zenon_L737_); trivial. % 11.15/11.37 apply (zenon_L738_); trivial. % 11.15/11.37 apply (zenon_L740_); trivial. % 11.15/11.37 apply (zenon_L741_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H2fe | zenon_intro zenon_H2fd ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_Ha9. zenon_intro zenon_H2ff. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H14e. zenon_intro zenon_H175. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H273. zenon_intro zenon_H2ea. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ]. % 11.15/11.37 exact (zenon_Haa zenon_Ha9). % 11.15/11.37 exact (zenon_H14e zenon_H103). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H248. zenon_intro zenon_H247. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H21e. zenon_intro zenon_H249. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H221. zenon_intro zenon_H24a. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H21f. zenon_intro zenon_H24b. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H24b). zenon_intro zenon_H248. zenon_intro zenon_H24c. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H21c. zenon_intro zenon_H220. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2a | zenon_intro zenon_H23 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.37 apply (zenon_L312_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.37 exact (zenon_H1fd zenon_H23). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_L155_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 apply (zenon_L6_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 exact (zenon_H2a zenon_H1e). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 exact (zenon_H2a zenon_H1e). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 apply (zenon_L56_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 apply (zenon_L291_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L296_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.37 apply (zenon_L58_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.37 exact (zenon_H1fd zenon_H23). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.37 apply (zenon_L744_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 apply (zenon_L347_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 exact (zenon_H40 zenon_H3f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.37 apply (zenon_L281_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.37 apply (zenon_L745_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.37 apply (zenon_L749_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.37 apply (zenon_L65_); trivial. % 11.15/11.37 apply (zenon_L21_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.37 apply (zenon_L751_); trivial. % 11.15/11.37 apply (zenon_L742_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.37 apply (zenon_L281_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.15/11.37 apply (zenon_L753_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.15/11.37 apply (zenon_L317_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.15/11.37 exact (zenon_H67 zenon_H66). % 11.15/11.37 apply (zenon_L362_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.37 apply (zenon_L751_); trivial. % 11.15/11.37 apply (zenon_L752_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 apply (zenon_L9_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 exact (zenon_H40 zenon_H3f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_L754_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.37 apply (zenon_L281_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.37 apply (zenon_L749_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.37 apply (zenon_L364_); trivial. % 11.15/11.37 apply (zenon_L78_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.37 apply (zenon_L350_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.37 apply (zenon_L755_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.37 apply (zenon_L757_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.37 apply (zenon_L65_); trivial. % 11.15/11.37 apply (zenon_L21_); trivial. % 11.15/11.37 apply (zenon_L73_); trivial. % 11.15/11.37 apply (zenon_L297_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L753_); trivial. % 11.15/11.37 apply (zenon_L301_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_L60_); trivial. % 11.15/11.37 apply (zenon_L755_); trivial. % 11.15/11.37 exact (zenon_H15d zenon_H6e). % 11.15/11.37 exact (zenon_H67 zenon_H66). % 11.15/11.37 exact (zenon_H2a zenon_H1e). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ]. % 11.15/11.37 exact (zenon_H145 zenon_H133). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.37 apply (zenon_L312_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.37 exact (zenon_H1fd zenon_H23). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_L155_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.37 apply (zenon_L758_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.37 apply (zenon_L244_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.37 apply (zenon_L65_); trivial. % 11.15/11.37 apply (zenon_L21_); trivial. % 11.15/11.37 exact (zenon_H67 zenon_H66). % 11.15/11.37 exact (zenon_H2a zenon_H1e). % 11.15/11.37 apply (zenon_L379_); trivial. % 11.15/11.37 apply (zenon_L384_); trivial. % 11.15/11.37 apply (zenon_L385_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ]. % 11.15/11.37 apply (zenon_L386_); trivial. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25d. zenon_intro zenon_H25c. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H272. zenon_intro zenon_H271. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H23b. zenon_intro zenon_H274. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H2e4. zenon_intro zenon_H2e3. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H1d8. zenon_intro zenon_H2e5. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H1d7. zenon_intro zenon_H2e6. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H238. zenon_intro zenon_H2e4. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H3c | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1cc | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H114 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H73 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.37 apply (zenon_L312_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 apply (zenon_L447_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L151_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L269_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L396_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 apply (zenon_L158_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 apply (zenon_L56_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L292_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 apply (zenon_L56_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.15/11.37 apply (zenon_L388_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.15/11.37 apply (zenon_L272_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.15/11.37 apply (zenon_L292_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.15/11.37 exact (zenon_H1cc zenon_Hca). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.15/11.37 apply (zenon_L389_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.15/11.37 apply (zenon_L284_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.15/11.37 apply (zenon_L397_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.15/11.37 apply (zenon_L398_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.37 apply (zenon_L412_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.37 apply (zenon_L244_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.37 apply (zenon_L65_); trivial. % 11.15/11.37 apply (zenon_L761_); trivial. % 11.15/11.37 apply (zenon_L762_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_L440_); trivial. % 11.15/11.37 exact (zenon_H199 zenon_H6f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.37 apply (zenon_L350_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 apply (zenon_L347_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.37 apply (zenon_L281_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.37 apply (zenon_L272_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.37 apply (zenon_L759_); trivial. % 11.15/11.37 apply (zenon_L441_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H89 | zenon_intro zenon_H13e ]. % 11.15/11.37 apply (zenon_L292_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hca | zenon_intro zenon_H13f ]. % 11.15/11.37 exact (zenon_H1cc zenon_Hca). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5d | zenon_intro zenon_H133 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.37 exact (zenon_H14e zenon_H103). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.37 apply (zenon_L389_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.37 apply (zenon_L315_); trivial. % 11.15/11.37 exact (zenon_H19f zenon_H114). % 11.15/11.37 apply (zenon_L426_); trivial. % 11.15/11.37 exact (zenon_H199 zenon_H6f). % 11.15/11.37 apply (zenon_L295_); trivial. % 11.15/11.37 apply (zenon_L442_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_L60_); trivial. % 11.15/11.37 apply (zenon_L423_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_L155_); trivial. % 11.15/11.37 exact (zenon_H1af zenon_H31). % 11.15/11.37 exact (zenon_H1a4 zenon_H65). % 11.15/11.37 exact (zenon_H1cc zenon_Hca). % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_L445_); trivial. % 11.15/11.37 apply (zenon_L446_); trivial. % 11.15/11.37 apply (zenon_L451_); trivial. % 11.15/11.37 apply (zenon_L452_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H301 | zenon_intro zenon_H300 ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H66. zenon_intro zenon_H302. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H1f3. zenon_intro zenon_H11c. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H273. zenon_intro zenon_H2ea. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H26c. zenon_intro zenon_H2eb. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2ec. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H264. zenon_intro zenon_H2ed. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H1f2. zenon_intro zenon_H268. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H26d | zenon_intro zenon_H2c ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.37 exact (zenon_H26d zenon_H2c). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 exact (zenon_H26d zenon_H2c). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L151_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L388_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_L272_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_L207_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.15/11.37 apply (zenon_L154_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.15/11.37 apply (zenon_L515_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.15/11.37 exact (zenon_Haa zenon_Ha9). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ]. % 11.15/11.37 apply (zenon_L206_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ]. % 11.15/11.37 apply (zenon_L352_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ]. % 11.15/11.37 exact (zenon_Haa zenon_Ha9). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.37 exact (zenon_H14e zenon_H103). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.37 exact (zenon_H1f3 zenon_H130). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.37 apply (zenon_L145_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H156 | zenon_intro zenon_H15f ]. % 11.15/11.37 apply (zenon_L587_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H160 ]. % 11.15/11.37 apply (zenon_L764_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H85 | zenon_intro zenon_H6e ]. % 11.15/11.37 apply (zenon_L66_); trivial. % 11.15/11.37 apply (zenon_L22_); trivial. % 11.15/11.37 apply (zenon_L765_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L269_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L98_); trivial. % 11.15/11.37 apply (zenon_L614_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L151_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L253_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_L272_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_L207_); trivial. % 11.15/11.37 apply (zenon_L779_); trivial. % 11.15/11.37 apply (zenon_L765_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L781_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L98_); trivial. % 11.15/11.37 apply (zenon_L614_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L151_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L388_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.37 exact (zenon_H14e zenon_H103). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.37 exact (zenon_H1f3 zenon_H130). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.37 apply (zenon_L147_); trivial. % 11.15/11.37 apply (zenon_L774_); trivial. % 11.15/11.37 apply (zenon_L765_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L624_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L98_); trivial. % 11.15/11.37 apply (zenon_L614_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 exact (zenon_H26d zenon_H2c). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_L783_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_L784_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L782_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L624_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L467_); trivial. % 11.15/11.37 apply (zenon_L614_); trivial. % 11.15/11.37 apply (zenon_L771_); trivial. % 11.15/11.37 exact (zenon_H165 zenon_H68). % 11.15/11.37 exact (zenon_Haa zenon_Ha9). % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ]. % 11.15/11.37 exact (zenon_H14f zenon_Hc4). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L633_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L253_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_L785_); trivial. % 11.15/11.37 apply (zenon_L765_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L638_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L98_); trivial. % 11.15/11.37 apply (zenon_L614_); trivial. % 11.15/11.37 exact (zenon_Haa zenon_Ha9). % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_L306_); trivial. % 11.15/11.37 apply (zenon_L640_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L5_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 apply (zenon_L465_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L398_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L312_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L253_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_L746_); trivial. % 11.15/11.37 apply (zenon_L765_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L98_); trivial. % 11.15/11.37 apply (zenon_L614_); trivial. % 11.15/11.37 exact (zenon_Haa zenon_Ha9). % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_L306_); trivial. % 11.15/11.37 apply (zenon_L640_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H248. zenon_intro zenon_H247. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H21e. zenon_intro zenon_H249. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ]. % 11.15/11.37 exact (zenon_H67 zenon_H66). % 11.15/11.37 exact (zenon_H1f3 zenon_H130). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ]. % 11.15/11.37 apply (zenon_L645_); trivial. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25d. zenon_intro zenon_H25c. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H272. zenon_intro zenon_H271. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H23b. zenon_intro zenon_H274. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H2e4. zenon_intro zenon_H2e3. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H1d8. zenon_intro zenon_H2e5. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H1d7. zenon_intro zenon_H2e6. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H238. zenon_intro zenon_H2e4. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H3c | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1cc | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H114 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L667_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 apply (zenon_L465_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L312_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L81_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_L788_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.37 apply (zenon_L312_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.37 apply (zenon_L224_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.37 apply (zenon_L657_); trivial. % 11.15/11.37 apply (zenon_L789_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L398_); trivial. % 11.15/11.37 apply (zenon_L658_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L98_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L659_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L253_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.37 apply (zenon_L666_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.37 apply (zenon_L149_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.37 apply (zenon_L336_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.37 apply (zenon_L663_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.37 apply (zenon_L790_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.37 apply (zenon_L791_); trivial. % 11.15/11.37 apply (zenon_L228_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.37 apply (zenon_L447_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.37 apply (zenon_L149_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.37 apply (zenon_L599_); trivial. % 11.15/11.37 apply (zenon_L790_); trivial. % 11.15/11.37 apply (zenon_L295_); trivial. % 11.15/11.37 apply (zenon_L406_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.37 apply (zenon_L793_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 apply (zenon_L153_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_L666_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_L792_); trivial. % 11.15/11.37 apply (zenon_L796_); trivial. % 11.15/11.37 exact (zenon_H1af zenon_H31). % 11.15/11.37 exact (zenon_H1a4 zenon_H65). % 11.15/11.37 exact (zenon_H1cc zenon_Hca). % 11.15/11.37 exact (zenon_H3c zenon_H37). % 11.15/11.37 apply (zenon_L672_); trivial. % 11.15/11.37 apply (zenon_L673_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1cc | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H114 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1af | zenon_intro zenon_H37 ]. % 11.15/11.37 exact (zenon_H1af zenon_H31). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H199 | zenon_intro zenon_Hca ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H19f | zenon_intro zenon_H65 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 apply (zenon_L468_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_L798_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L8_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L291_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L81_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H103 | zenon_intro zenon_H1a0 ]. % 11.15/11.37 apply (zenon_L109_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H130 | zenon_intro zenon_H1a1 ]. % 11.15/11.37 exact (zenon_H1f3 zenon_H130). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hfc | zenon_intro zenon_H114 ]. % 11.15/11.37 apply (zenon_L145_); trivial. % 11.15/11.37 exact (zenon_H19f zenon_H114). % 11.15/11.37 apply (zenon_L75_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L98_); trivial. % 11.15/11.37 apply (zenon_L301_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L8_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 apply (zenon_L465_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L291_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L81_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_L788_); trivial. % 11.15/11.37 apply (zenon_L75_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L398_); trivial. % 11.15/11.37 apply (zenon_L801_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L98_); trivial. % 11.15/11.37 apply (zenon_L301_); trivial. % 11.15/11.37 exact (zenon_H1a4 zenon_H65). % 11.15/11.37 exact (zenon_H1cc zenon_Hca). % 11.15/11.37 apply (zenon_L672_); trivial. % 11.15/11.37 apply (zenon_L673_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H304 | zenon_intro zenon_H303 ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_Hfc. zenon_intro zenon_H305. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_Hf9. zenon_intro zenon_Hfc. % 11.15/11.37 exact (zenon_Hf9 zenon_Hfc). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H307 | zenon_intro zenon_H306 ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H65. zenon_intro zenon_H308. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H19f. zenon_intro zenon_H7c. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H273. zenon_intro zenon_H2ea. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H26c. zenon_intro zenon_H2eb. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2ec. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H264. zenon_intro zenon_H2ed. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H1f2. zenon_intro zenon_H268. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H26d | zenon_intro zenon_H2c ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.37 exact (zenon_H26d zenon_H2c). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 exact (zenon_H26d zenon_H2c). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L805_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L269_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L808_); trivial. % 11.15/11.37 apply (zenon_L809_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.37 apply (zenon_L154_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ]. % 11.15/11.37 apply (zenon_L83_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ]. % 11.15/11.37 apply (zenon_L257_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ]. % 11.15/11.37 apply (zenon_L20_); trivial. % 11.15/11.37 apply (zenon_L522_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_L316_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.15/11.37 apply (zenon_L11_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.15/11.37 apply (zenon_L317_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.15/11.37 apply (zenon_L20_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.37 apply (zenon_L810_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.37 apply (zenon_L811_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.37 apply (zenon_L703_); trivial. % 11.15/11.37 exact (zenon_H165 zenon_H68). % 11.15/11.37 apply (zenon_L817_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L269_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L808_); trivial. % 11.15/11.37 apply (zenon_L809_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L810_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L269_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L808_); trivial. % 11.15/11.37 apply (zenon_L809_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 exact (zenon_H26d zenon_H2c). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H150 | zenon_intro zenon_H167 ]. % 11.15/11.37 apply (zenon_L127_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H163 | zenon_intro zenon_H168 ]. % 11.15/11.37 apply (zenon_L818_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H68 ]. % 11.15/11.37 apply (zenon_L157_); trivial. % 11.15/11.37 exact (zenon_H165 zenon_H68). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.37 apply (zenon_L459_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.37 apply (zenon_L460_); trivial. % 11.15/11.37 apply (zenon_L818_); trivial. % 11.15/11.37 apply (zenon_L820_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 exact (zenon_H26d zenon_H2c). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_L823_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_L815_); trivial. % 11.15/11.37 apply (zenon_L821_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 apply (zenon_L465_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L822_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L824_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L807_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.37 apply (zenon_L824_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H80 | zenon_intro zenon_Hbf ]. % 11.15/11.37 apply (zenon_L826_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc0 ]. % 11.15/11.37 apply (zenon_L471_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 11.15/11.37 exact (zenon_Haa zenon_Ha9). % 11.15/11.37 apply (zenon_L41_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L296_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_L51_); trivial. % 11.15/11.37 apply (zenon_L803_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.37 exact (zenon_H14e zenon_H103). % 11.15/11.37 apply (zenon_L133_); trivial. % 11.15/11.37 apply (zenon_L186_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L827_); trivial. % 11.15/11.37 apply (zenon_L301_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.37 apply (zenon_L154_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_L823_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_L316_); trivial. % 11.15/11.37 apply (zenon_L821_); trivial. % 11.15/11.37 apply (zenon_L817_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 apply (zenon_L465_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L822_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L824_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L81_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_L826_); trivial. % 11.15/11.37 apply (zenon_L186_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L827_); trivial. % 11.15/11.37 apply (zenon_L301_); trivial. % 11.15/11.37 apply (zenon_L828_); trivial. % 11.15/11.37 exact (zenon_H165 zenon_H68). % 11.15/11.37 exact (zenon_Haa zenon_Ha9). % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_L829_); trivial. % 11.15/11.37 apply (zenon_L830_); trivial. % 11.15/11.37 apply (zenon_L834_); trivial. % 11.15/11.37 apply (zenon_L839_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H248. zenon_intro zenon_H247. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H21e. zenon_intro zenon_H249. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H221. zenon_intro zenon_H24a. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H21f. zenon_intro zenon_H24b. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H24b). zenon_intro zenon_H248. zenon_intro zenon_H24c. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H21c. zenon_intro zenon_H220. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2a | zenon_intro zenon_H23 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 exact (zenon_H2a zenon_H1e). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L312_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L851_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.37 apply (zenon_L318_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.37 apply (zenon_L224_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 apply (zenon_L468_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L852_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_L51_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H57 | zenon_intro zenon_H11a ]. % 11.15/11.37 apply (zenon_L74_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H3d | zenon_intro zenon_Hd4 ]. % 11.15/11.37 apply (zenon_L9_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 11.15/11.37 apply (zenon_L285_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 11.15/11.37 apply (zenon_L45_); trivial. % 11.15/11.37 apply (zenon_L192_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 11.15/11.37 apply (zenon_L512_); trivial. % 11.15/11.37 apply (zenon_L191_); trivial. % 11.15/11.37 apply (zenon_L133_); trivial. % 11.15/11.37 apply (zenon_L186_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L853_); trivial. % 11.15/11.37 apply (zenon_L855_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.37 exact (zenon_H1fd zenon_H23). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 apply (zenon_L153_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 exact (zenon_H2a zenon_H1e). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 apply (zenon_L56_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L853_); trivial. % 11.15/11.37 apply (zenon_L855_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_L856_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 exact (zenon_H2a zenon_H1e). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 exact (zenon_H2a zenon_H1e). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H37 | zenon_intro zenon_Hda ]. % 11.15/11.37 apply (zenon_L291_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H3d | zenon_intro zenon_Hdb ]. % 11.15/11.37 apply (zenon_L9_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc4 ]. % 11.15/11.37 apply (zenon_L246_); trivial. % 11.15/11.37 apply (zenon_L116_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L81_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_L206_); trivial. % 11.15/11.37 apply (zenon_L186_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L853_); trivial. % 11.15/11.37 apply (zenon_L855_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L467_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 exact (zenon_H2a zenon_H1e). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 apply (zenon_L291_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L857_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_L51_); trivial. % 11.15/11.37 apply (zenon_L295_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.37 apply (zenon_L127_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.37 apply (zenon_L858_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.37 apply (zenon_L481_); trivial. % 11.15/11.37 apply (zenon_L843_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L857_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_L183_); trivial. % 11.15/11.37 apply (zenon_L295_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_L206_); trivial. % 11.15/11.37 apply (zenon_L406_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L853_); trivial. % 11.15/11.37 apply (zenon_L855_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 apply (zenon_L6_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 exact (zenon_H2a zenon_H1e). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 apply (zenon_L56_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L822_); trivial. % 11.15/11.37 apply (zenon_L855_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_L856_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 exact (zenon_H2a zenon_H1e). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 exact (zenon_H2a zenon_H1e). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L859_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L81_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.37 apply (zenon_L56_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.37 apply (zenon_L858_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.37 apply (zenon_L860_); trivial. % 11.15/11.37 apply (zenon_L328_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L852_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_L51_); trivial. % 11.15/11.37 apply (zenon_L862_); trivial. % 11.15/11.37 apply (zenon_L186_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L853_); trivial. % 11.15/11.37 apply (zenon_L855_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 exact (zenon_H2a zenon_H1e). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_L859_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.37 apply (zenon_L127_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.37 apply (zenon_L858_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.37 apply (zenon_L860_); trivial. % 11.15/11.37 apply (zenon_L843_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L857_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_L71_); trivial. % 11.15/11.37 apply (zenon_L862_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_L36_); trivial. % 11.15/11.37 apply (zenon_L75_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L822_); trivial. % 11.15/11.37 apply (zenon_L855_); trivial. % 11.15/11.37 apply (zenon_L301_); trivial. % 11.15/11.37 exact (zenon_H15d zenon_H6e). % 11.15/11.37 exact (zenon_H67 zenon_H66). % 11.15/11.37 exact (zenon_H2a zenon_H1e). % 11.15/11.37 apply (zenon_L863_); trivial. % 11.15/11.37 apply (zenon_L864_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.15/11.37 apply (zenon_L388_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.15/11.37 apply (zenon_L865_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.15/11.37 exact (zenon_H1f3 zenon_H130). % 11.15/11.37 apply (zenon_L135_); trivial. % 11.15/11.37 exact (zenon_H15d zenon_H6e). % 11.15/11.37 exact (zenon_H67 zenon_H66). % 11.15/11.37 apply (zenon_L863_); trivial. % 11.15/11.37 apply (zenon_L864_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H224. zenon_intro zenon_H223. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H254. zenon_intro zenon_H253. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H256. zenon_intro zenon_H255. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H258. zenon_intro zenon_H257. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ]. % 11.15/11.37 exact (zenon_H79 zenon_H7c). % 11.15/11.37 apply (zenon_L119_); trivial. % 11.15/11.37 apply (zenon_L867_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H30a | zenon_intro zenon_H309 ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H68. zenon_intro zenon_H30b. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H14f. zenon_intro zenon_H37. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H273. zenon_intro zenon_H2ea. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H26c. zenon_intro zenon_H2eb. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ]. % 11.15/11.37 exact (zenon_H165 zenon_H68). % 11.15/11.37 exact (zenon_H14f zenon_Hc4). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ]. % 11.15/11.37 apply (zenon_L507_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ]. % 11.15/11.37 apply (zenon_L547_); trivial. % 11.15/11.37 apply (zenon_L548_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H30d | zenon_intro zenon_H30c ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H6e. zenon_intro zenon_H30e. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H145. zenon_intro zenon_Hca. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H273. zenon_intro zenon_H2ea. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H26c. zenon_intro zenon_H2eb. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2ec. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H264. zenon_intro zenon_H2ed. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H1f2. zenon_intro zenon_H268. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H26d | zenon_intro zenon_H2c ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.37 exact (zenon_H26d zenon_H2c). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_L514_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ]. % 11.15/11.37 apply (zenon_L877_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ]. % 11.15/11.37 apply (zenon_L316_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ]. % 11.15/11.37 exact (zenon_Haa zenon_Ha9). % 11.15/11.37 apply (zenon_L878_); trivial. % 11.15/11.37 apply (zenon_L22_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L269_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L677_); trivial. % 11.15/11.37 apply (zenon_L237_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_L877_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 apply (zenon_L8_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L57_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_L871_); trivial. % 11.15/11.37 apply (zenon_L73_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L688_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L677_); trivial. % 11.15/11.37 apply (zenon_L237_); trivial. % 11.15/11.37 exact (zenon_H165 zenon_H68). % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_L692_); trivial. % 11.15/11.37 apply (zenon_L699_); trivial. % 11.15/11.37 apply (zenon_L700_); trivial. % 11.15/11.37 apply (zenon_L701_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H248. zenon_intro zenon_H247. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H21e. zenon_intro zenon_H249. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H221. zenon_intro zenon_H24a. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ]. % 11.15/11.37 exact (zenon_H15d zenon_H6e). % 11.15/11.37 exact (zenon_H145 zenon_H133). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H224. zenon_intro zenon_H223. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H254. zenon_intro zenon_H253. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H256. zenon_intro zenon_H255. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H258. zenon_intro zenon_H257. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H16d. zenon_intro zenon_H259. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H174. zenon_intro zenon_H25a. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H256. zenon_intro zenon_H16e. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H171 | zenon_intro zenon_He3 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_Hc3 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfc ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He0 | zenon_intro zenon_H175 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hbd | zenon_intro zenon_H11c ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H176 | zenon_intro zenon_H7c ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L702_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 apply (zenon_L702_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 exact (zenon_H171 zenon_H175). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.37 exact (zenon_H171 zenon_H175). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.37 apply (zenon_L224_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ]. % 11.15/11.37 apply (zenon_L270_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ]. % 11.15/11.37 apply (zenon_L89_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H26a ]. % 11.15/11.37 apply (zenon_L879_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H12e | zenon_intro zenon_H26b ]. % 11.15/11.37 apply (zenon_L89_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H130 | zenon_intro zenon_H5d ]. % 11.15/11.37 apply (zenon_L90_); trivial. % 11.15/11.37 apply (zenon_L323_); trivial. % 11.15/11.37 apply (zenon_L377_); trivial. % 11.15/11.37 apply (zenon_L880_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.37 exact (zenon_H171 zenon_H175). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.37 apply (zenon_L224_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.37 apply (zenon_L705_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.37 apply (zenon_L44_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.37 apply (zenon_L704_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.37 apply (zenon_L269_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.37 apply (zenon_L44_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ]. % 11.15/11.37 apply (zenon_L347_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H12e | zenon_intro zenon_H1d6 ]. % 11.15/11.37 apply (zenon_L883_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H66 | zenon_intro zenon_H18e ]. % 11.15/11.37 apply (zenon_L879_); trivial. % 11.15/11.37 apply (zenon_L377_); trivial. % 11.15/11.37 apply (zenon_L723_); trivial. % 11.15/11.37 apply (zenon_L880_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H17b ]. % 11.15/11.37 exact (zenon_H171 zenon_H175). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H57 | zenon_intro zenon_H17c ]. % 11.15/11.37 apply (zenon_L224_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H103 | zenon_intro zenon_H8d ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H37 | zenon_intro zenon_H14c ]. % 11.15/11.37 apply (zenon_L468_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H89 | zenon_intro zenon_H14d ]. % 11.15/11.37 apply (zenon_L57_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H101 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H23 | zenon_intro zenon_H1fe ]. % 11.15/11.37 apply (zenon_L882_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H24 | zenon_intro zenon_H1ff ]. % 11.15/11.37 apply (zenon_L44_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H163 ]. % 11.15/11.37 apply (zenon_L725_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H46 | zenon_intro zenon_H13c ]. % 11.15/11.37 apply (zenon_L727_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11c | zenon_intro zenon_H13d ]. % 11.15/11.37 exact (zenon_H118 zenon_H11c). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H95 ]. % 11.15/11.37 apply (zenon_L274_); trivial. % 11.15/11.37 apply (zenon_L275_); trivial. % 11.15/11.37 apply (zenon_L184_); trivial. % 11.15/11.37 apply (zenon_L880_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L718_); trivial. % 11.15/11.37 apply (zenon_L884_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 apply (zenon_L11_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 exact (zenon_H171 zenon_H175). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L733_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_L36_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H11f | zenon_intro zenon_H147 ]. % 11.15/11.37 apply (zenon_L885_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H3f | zenon_intro zenon_H148 ]. % 11.15/11.37 apply (zenon_L514_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H12e | zenon_intro zenon_H141 ]. % 11.15/11.37 apply (zenon_L886_); trivial. % 11.15/11.37 apply (zenon_L177_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L718_); trivial. % 11.15/11.37 apply (zenon_L884_); trivial. % 11.15/11.37 apply (zenon_L237_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.37 apply (zenon_L882_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.37 exact (zenon_He0 zenon_He3). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 apply (zenon_L6_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_L705_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L702_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 exact (zenon_H171 zenon_H175). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H26a ]. % 11.15/11.37 apply (zenon_L460_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H12e | zenon_intro zenon_H26b ]. % 11.15/11.37 apply (zenon_L89_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H130 | zenon_intro zenon_H5d ]. % 11.15/11.37 apply (zenon_L90_); trivial. % 11.15/11.37 apply (zenon_L323_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_L887_); trivial. % 11.15/11.37 apply (zenon_L75_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Hdc | zenon_intro zenon_H226 ]. % 11.15/11.37 apply (zenon_L706_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hcb | zenon_intro zenon_H227 ]. % 11.15/11.37 apply (zenon_L303_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H65 | zenon_intro zenon_H153 ]. % 11.15/11.37 apply (zenon_L680_); trivial. % 11.15/11.37 exact (zenon_H176 zenon_H153). % 11.15/11.37 apply (zenon_L301_); trivial. % 11.15/11.37 apply (zenon_L881_); trivial. % 11.15/11.37 exact (zenon_H79 zenon_H7c). % 11.15/11.37 exact (zenon_H118 zenon_H11c). % 11.15/11.37 exact (zenon_H171 zenon_H175). % 11.15/11.37 apply (zenon_L735_); trivial. % 11.15/11.37 apply (zenon_L737_); trivial. % 11.15/11.37 apply (zenon_L738_); trivial. % 11.15/11.37 apply (zenon_L740_); trivial. % 11.15/11.37 apply (zenon_L741_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H310 | zenon_intro zenon_H30f ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H7c. zenon_intro zenon_H311. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H176. zenon_intro zenon_H65. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26e. zenon_intro zenon_H2e1. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H273. zenon_intro zenon_H2ea. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H26c. zenon_intro zenon_H2eb. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2ec. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H264. zenon_intro zenon_H2ed. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H1f2. zenon_intro zenon_H268. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H26d | zenon_intro zenon_H2c ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Haa | zenon_intro zenon_H103 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H165 | zenon_intro zenon_Hc4 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_He6 | zenon_intro zenon_H24 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha9 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H14f | zenon_intro zenon_H68 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.37 exact (zenon_H26d zenon_H2c). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 exact (zenon_H26d zenon_H2c). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_L805_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L269_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 apply (zenon_L11_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H150 | zenon_intro zenon_H15b ]. % 11.15/11.37 apply (zenon_L888_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H156 | zenon_intro zenon_H15c ]. % 11.15/11.37 apply (zenon_L428_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H8d | zenon_intro zenon_Hc4 ]. % 11.15/11.37 apply (zenon_L133_); trivial. % 11.15/11.37 exact (zenon_H14f zenon_Hc4). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H80 | zenon_intro zenon_H128 ]. % 11.15/11.37 apply (zenon_L894_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H123 | zenon_intro zenon_H129 ]. % 11.15/11.37 apply (zenon_L428_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H103 | zenon_intro zenon_H4c ]. % 11.15/11.37 exact (zenon_H14e zenon_H103). % 11.15/11.37 apply (zenon_L246_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H175 | zenon_intro zenon_H181 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfe ]. % 11.15/11.37 apply (zenon_L896_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hea | zenon_intro zenon_Hff ]. % 11.15/11.37 apply (zenon_L352_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hf0 ]. % 11.15/11.37 exact (zenon_Haa zenon_Ha9). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.15/11.37 apply (zenon_L318_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.15/11.37 apply (zenon_L897_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.15/11.37 apply (zenon_L137_); trivial. % 11.15/11.37 apply (zenon_L229_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H46 | zenon_intro zenon_H182 ]. % 11.15/11.37 apply (zenon_L388_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H9b | zenon_intro zenon_H108 ]. % 11.15/11.37 apply (zenon_L899_); trivial. % 11.15/11.37 apply (zenon_L186_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.37 apply (zenon_L154_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.37 apply (zenon_L891_); trivial. % 11.15/11.37 apply (zenon_L817_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L269_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L894_); trivial. % 11.15/11.37 apply (zenon_L900_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.37 apply (zenon_L805_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.37 apply (zenon_L901_); trivial. % 11.15/11.37 apply (zenon_L819_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_L269_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L888_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 apply (zenon_L158_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_He5 | zenon_intro zenon_H201 ]. % 11.15/11.37 apply (zenon_L127_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H24 | zenon_intro zenon_H202 ]. % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hea | zenon_intro zenon_H1a7 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ba ]. % 11.15/11.37 apply (zenon_L899_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10d | zenon_intro zenon_H1bb ]. % 11.15/11.37 apply (zenon_L903_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_Hfc | zenon_intro zenon_H9c ]. % 11.15/11.37 apply (zenon_L137_); trivial. % 11.15/11.37 apply (zenon_L229_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_L316_); trivial. % 11.15/11.37 apply (zenon_L449_); trivial. % 11.15/11.37 apply (zenon_L812_); trivial. % 11.15/11.37 apply (zenon_L904_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_L896_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1e | zenon_intro zenon_H21a ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_L907_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_L910_); trivial. % 11.15/11.37 apply (zenon_L821_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H11f | zenon_intro zenon_H21b ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd7 ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hd8 ]. % 11.15/11.37 apply (zenon_L380_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H6f ]. % 11.15/11.37 apply (zenon_L910_); trivial. % 11.15/11.37 apply (zenon_L821_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 exact (zenon_He6 zenon_H1f). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L822_); trivial. % 11.15/11.37 apply (zenon_L912_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H42 | zenon_intro zenon_H186 ]. % 11.15/11.37 apply (zenon_L913_); trivial. % 11.15/11.37 apply (zenon_L301_); trivial. % 11.15/11.37 exact (zenon_H165 zenon_H68). % 11.15/11.37 exact (zenon_Haa zenon_Ha9). % 11.15/11.37 exact (zenon_H56 zenon_H24). % 11.15/11.37 apply (zenon_L829_); trivial. % 11.15/11.37 apply (zenon_L830_); trivial. % 11.15/11.37 apply (zenon_L834_); trivial. % 11.15/11.37 apply (zenon_L839_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e2 ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H248. zenon_intro zenon_H247. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H21e. zenon_intro zenon_H249. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H221. zenon_intro zenon_H24a. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H21f. zenon_intro zenon_H24b. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H24b). zenon_intro zenon_H248. zenon_intro zenon_H24c. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H21c. zenon_intro zenon_H220. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2a | zenon_intro zenon_H23 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2c | zenon_intro zenon_H177 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e | zenon_intro zenon_H1db ]. % 11.15/11.37 exact (zenon_H2a zenon_H1e). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H42 | zenon_intro zenon_Hc1 ]. % 11.15/11.37 apply (zenon_L916_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 11.15/11.37 apply (zenon_L305_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H66 | zenon_intro zenon_H85 ]. % 11.15/11.37 exact (zenon_H67 zenon_H66). % 11.15/11.37 apply (zenon_L918_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H123 | zenon_intro zenon_H156 ]. % 11.15/11.37 apply (zenon_L853_); trivial. % 11.15/11.37 apply (zenon_L915_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H23 | zenon_intro zenon_H178 ]. % 11.15/11.37 exact (zenon_H1fd zenon_H23). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_He3 | zenon_intro zenon_H31 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 apply (zenon_L153_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_L919_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_L856_); trivial. % 11.15/11.37 apply (zenon_L920_); trivial. % 11.15/11.37 apply (zenon_L921_); trivial. % 11.15/11.37 exact (zenon_H15d zenon_H6e). % 11.15/11.37 exact (zenon_H67 zenon_H66). % 11.15/11.37 exact (zenon_H2a zenon_H1e). % 11.15/11.37 apply (zenon_L863_); trivial. % 11.15/11.37 apply (zenon_L864_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H67 | zenon_intro zenon_H130 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H15d | zenon_intro zenon_H133 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1e ]. % 11.15/11.37 exact (zenon_H1fd zenon_H23). % 11.15/11.37 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H66 ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H145 | zenon_intro zenon_H6e ]. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H2c | zenon_intro zenon_H179 ]. % 11.15/11.37 apply (zenon_L447_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_He5 | zenon_intro zenon_H17a ]. % 11.15/11.37 apply (zenon_L805_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H80 | zenon_intro zenon_H150 ]. % 11.15/11.37 apply (zenon_L856_); trivial. % 11.15/11.37 apply (zenon_L920_); trivial. % 11.15/11.37 exact (zenon_H15d zenon_H6e). % 11.15/11.37 exact (zenon_H67 zenon_H66). % 11.15/11.37 apply (zenon_L863_); trivial. % 11.15/11.37 apply (zenon_L864_); trivial. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H222 | zenon_intro zenon_H25b ]. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H224. zenon_intro zenon_H223. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H254. zenon_intro zenon_H253. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H256. zenon_intro zenon_H255. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H258. zenon_intro zenon_H257. % 11.15/11.37 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H79 | zenon_intro zenon_H153 ]. % 11.15/11.37 exact (zenon_H79 zenon_H7c). % 11.15/11.37 exact (zenon_H176 zenon_H153). % 11.15/11.37 apply (zenon_L867_); trivial. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H73. zenon_intro zenon_H312. % 11.15/11.37 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H1c5. zenon_intro zenon_H73. % 11.15/11.37 exact (zenon_H1c5 zenon_H73). % 11.15/11.37 Qed. % 11.15/11.37 % SZS output end Proof % 11.15/11.37 (* END-PROOF *) % 11.15/11.37 nodes searched: 305919 % 11.15/11.37 max branch formulas: 319 % 11.15/11.37 proof nodes created: 12647 % 11.15/11.37 formulas created: 78653 % 11.15/11.37 %------------------------------------------------------------------------------