%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG158+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n032.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 18:30:46 EDT 2022 % Result : Unsatisfiable 11.66s 11.86s % Output : Proof 11.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.08 % Problem : ALG158+1 : TPTP v8.1.0. Released v2.7.0. % 0.00/0.08 % Command : run_zenon %s %d % 0.07/0.27 % Computer : n032.cluster.edu % 0.07/0.27 % Model : x86_64 x86_64 % 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.27 % Memory : 8042.1875MB % 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.27 % CPULimit : 300 % 0.07/0.27 % WCLimit : 600 % 0.07/0.27 % DateTime : Wed Jun 8 16:11:21 EDT 2022 % 0.07/0.27 % CPUTime : % 11.66/11.86 (* PROOF-FOUND *) % 11.66/11.86 % SZS status Unsatisfiable % 11.66/11.86 (* BEGIN-PROOF *) % 11.66/11.86 % SZS output start Proof % 11.66/11.86 Theorem zenon_thm : False. % 11.66/11.86 Proof. % 11.66/11.86 assert (zenon_L1_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H1d zenon_H1e zenon_H1f. % 11.66/11.86 elim (classic ((op (e0) (e1)) = (op (e0) (e1)))); [ zenon_intro zenon_H20 | zenon_intro zenon_H21 ]. % 11.66/11.86 cut (((op (e0) (e1)) = (op (e0) (e1))) = ((op (e0) (e0)) = (op (e0) (e1)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H1f. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H20. % 11.66/11.86 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 11.66/11.86 cut (((op (e0) (e1)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e0)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H22. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H1d. % 11.66/11.86 cut (((e0) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H23]. % 11.66/11.86 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 11.66/11.86 congruence. % 11.66/11.86 apply zenon_H21. apply refl_equal. % 11.66/11.86 apply zenon_H23. apply sym_equal. exact zenon_H1e. % 11.66/11.86 apply zenon_H21. apply refl_equal. % 11.66/11.86 apply zenon_H21. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L1_ *) % 11.66/11.86 assert (zenon_L2_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H24 zenon_H1d zenon_H1f. % 11.66/11.86 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H1e. zenon_intro zenon_H25. % 11.66/11.86 apply (zenon_and_s _ _ zenon_H25). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 11.66/11.86 apply (zenon_L1_); trivial. % 11.66/11.86 (* end of lemma zenon_L2_ *) % 11.66/11.86 assert (zenon_L3_ : (~((e1) = (e1))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H27. % 11.66/11.86 apply zenon_H27. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L3_ *) % 11.66/11.86 assert (zenon_L4_ : (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e0)) -> False). % 11.66/11.86 do 0 intro. intros zenon_H28 zenon_H29 zenon_H2a. % 11.66/11.86 cut (((op (e1) (e0)) = (e1)) = ((e0) = (e1))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H28. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H29. % 11.66/11.86 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.86 cut (((op (e1) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_H2b zenon_H2a). % 11.66/11.86 apply zenon_H27. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L4_ *) % 11.66/11.86 assert (zenon_L5_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> False). % 11.66/11.86 do 0 intro. intros zenon_H2c zenon_H28 zenon_H29. % 11.66/11.86 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1d. zenon_intro zenon_H2d. % 11.66/11.86 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2a. zenon_intro zenon_H26. % 11.66/11.86 apply (zenon_L4_); trivial. % 11.66/11.86 (* end of lemma zenon_L5_ *) % 11.66/11.86 assert (zenon_L6_ : (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> False). % 11.66/11.86 do 0 intro. intros zenon_H2e zenon_H1d zenon_H2f. % 11.66/11.86 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e2)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H2e. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H1d. % 11.66/11.86 cut (((e0) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 11.66/11.86 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 11.66/11.86 congruence. % 11.66/11.86 apply zenon_H21. apply refl_equal. % 11.66/11.86 apply zenon_H30. apply sym_equal. exact zenon_H2f. % 11.66/11.86 (* end of lemma zenon_L6_ *) % 11.66/11.86 assert (zenon_L7_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e0)) -> False). % 11.66/11.86 do 0 intro. intros zenon_H31 zenon_H2e zenon_H1d. % 11.66/11.86 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H2f. zenon_intro zenon_H32. % 11.66/11.86 apply (zenon_L6_); trivial. % 11.66/11.86 (* end of lemma zenon_L7_ *) % 11.66/11.86 assert (zenon_L8_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H33 zenon_H1d zenon_H34. % 11.66/11.86 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.66/11.86 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e1)) = (op (e0) (e3)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H34. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H35. % 11.66/11.86 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.66/11.86 cut (((op (e0) (e3)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e0) (e1)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H37. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H33. % 11.66/11.86 cut (((e0) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 11.66/11.86 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.66/11.86 congruence. % 11.66/11.86 apply zenon_H36. apply refl_equal. % 11.66/11.86 apply zenon_H38. apply sym_equal. exact zenon_H1d. % 11.66/11.86 apply zenon_H36. apply refl_equal. % 11.66/11.86 apply zenon_H36. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L8_ *) % 11.66/11.86 assert (zenon_L9_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H39 zenon_H1d zenon_H34. % 11.66/11.86 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H33. zenon_intro zenon_H3a. % 11.66/11.86 apply (zenon_L8_); trivial. % 11.66/11.86 (* end of lemma zenon_L9_ *) % 11.66/11.86 assert (zenon_L10_ : (~((e0) = (e0))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H3b. % 11.66/11.86 apply zenon_H3b. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L10_ *) % 11.66/11.86 assert (zenon_L11_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H1d zenon_H3c zenon_H28. % 11.66/11.86 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H3d | zenon_intro zenon_H27 ]. % 11.66/11.86 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H28. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H3d. % 11.66/11.86 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.86 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e0) (e1)) = (e0)) = ((e1) = (e0))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H3e. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H1d. % 11.66/11.86 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.66/11.86 cut (((op (e0) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_H3f zenon_H3c). % 11.66/11.86 apply zenon_H3b. apply refl_equal. % 11.66/11.86 apply zenon_H27. apply refl_equal. % 11.66/11.86 apply zenon_H27. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L11_ *) % 11.66/11.86 assert (zenon_L12_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H40 zenon_H1d zenon_H28. % 11.66/11.86 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H29. zenon_intro zenon_H41. % 11.66/11.86 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H3c. zenon_intro zenon_H42. % 11.66/11.86 apply (zenon_L11_); trivial. % 11.66/11.86 (* end of lemma zenon_L12_ *) % 11.66/11.86 assert (zenon_L13_ : (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> False). % 11.66/11.86 do 0 intro. intros zenon_H43 zenon_H29 zenon_H44. % 11.66/11.86 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e1) (e1)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H43. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H29. % 11.66/11.86 cut (((e1) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.66/11.86 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 11.66/11.86 congruence. % 11.66/11.86 apply zenon_H46. apply refl_equal. % 11.66/11.86 apply zenon_H45. apply sym_equal. exact zenon_H44. % 11.66/11.86 (* end of lemma zenon_L13_ *) % 11.66/11.86 assert (zenon_L14_ : (((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> False). % 11.66/11.86 do 0 intro. intros zenon_H47 zenon_H43 zenon_H29. % 11.66/11.86 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H44. zenon_intro zenon_H48. % 11.66/11.86 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H44. zenon_intro zenon_H42. % 11.66/11.86 apply (zenon_L13_); trivial. % 11.66/11.86 (* end of lemma zenon_L14_ *) % 11.66/11.86 assert (zenon_L15_ : ((op (e1) (e2)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H49 zenon_H29 zenon_H4a. % 11.66/11.86 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H4b | zenon_intro zenon_H4c ]. % 11.66/11.86 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e1) (e0)) = (op (e1) (e2)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H4a. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H4b. % 11.66/11.86 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 11.66/11.86 cut (((op (e1) (e2)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H4d]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e1) (e0)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H4d. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H49. % 11.66/11.86 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 11.66/11.86 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 11.66/11.86 congruence. % 11.66/11.86 apply zenon_H4c. apply refl_equal. % 11.66/11.86 apply zenon_H4e. apply sym_equal. exact zenon_H29. % 11.66/11.86 apply zenon_H4c. apply refl_equal. % 11.66/11.86 apply zenon_H4c. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L15_ *) % 11.66/11.86 assert (zenon_L16_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H4f zenon_H29 zenon_H4a. % 11.66/11.86 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H49. zenon_intro zenon_H50. % 11.66/11.86 apply (zenon_L15_); trivial. % 11.66/11.86 (* end of lemma zenon_L16_ *) % 11.66/11.86 assert (zenon_L17_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H51 zenon_H29 zenon_H52. % 11.66/11.86 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H53 | zenon_intro zenon_H54 ]. % 11.66/11.86 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e0)) = (op (e1) (e3)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H52. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H53. % 11.66/11.86 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 11.66/11.86 cut (((op (e1) (e3)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e0)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H55. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H51. % 11.66/11.86 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 11.66/11.86 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 11.66/11.86 congruence. % 11.66/11.86 apply zenon_H54. apply refl_equal. % 11.66/11.86 apply zenon_H4e. apply sym_equal. exact zenon_H29. % 11.66/11.86 apply zenon_H54. apply refl_equal. % 11.66/11.86 apply zenon_H54. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L17_ *) % 11.66/11.86 assert (zenon_L18_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H56 zenon_H29 zenon_H52. % 11.66/11.86 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H51. zenon_intro zenon_H57. % 11.66/11.86 apply (zenon_L17_); trivial. % 11.66/11.86 (* end of lemma zenon_L18_ *) % 11.66/11.86 assert (zenon_L19_ : (~((e2) = (e2))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H58. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L19_ *) % 11.66/11.86 assert (zenon_L20_ : (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e0)) = (e0)) -> False). % 11.66/11.86 do 0 intro. intros zenon_H59 zenon_H5a zenon_H5b. % 11.66/11.86 cut (((op (e2) (e0)) = (e2)) = ((e0) = (e2))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H59. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H5a. % 11.66/11.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.86 cut (((op (e2) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_H5c zenon_H5b). % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L20_ *) % 11.66/11.86 assert (zenon_L21_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H5d zenon_H5e zenon_H5f. % 11.66/11.86 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H58 ]. % 11.66/11.86 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H5f. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H60. % 11.66/11.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.86 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e0) (e2)) = (e1)) = ((e2) = (e1))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H61. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H5d. % 11.66/11.86 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.86 cut (((op (e0) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_H62 zenon_H5e). % 11.66/11.86 apply zenon_H27. apply refl_equal. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L21_ *) % 11.66/11.86 assert (zenon_L22_ : (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> False). % 11.66/11.86 do 0 intro. intros zenon_H34 zenon_H3c zenon_H63. % 11.66/11.86 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e0) (e3)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H34. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H3c. % 11.66/11.86 cut (((e1) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 11.66/11.86 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 11.66/11.86 congruence. % 11.66/11.86 apply zenon_H21. apply refl_equal. % 11.66/11.86 apply zenon_H64. apply sym_equal. exact zenon_H63. % 11.66/11.86 (* end of lemma zenon_L22_ *) % 11.66/11.86 assert (zenon_L23_ : (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> False). % 11.66/11.86 do 0 intro. intros zenon_H5f zenon_H5a zenon_H65. % 11.66/11.86 cut (((op (e2) (e0)) = (e2)) = ((e1) = (e2))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H5f. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H5a. % 11.66/11.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.86 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H66]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_H66 zenon_H65). % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L23_ *) % 11.66/11.86 assert (zenon_L24_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H67 zenon_H68 zenon_H28. % 11.66/11.86 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H3d | zenon_intro zenon_H27 ]. % 11.66/11.86 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H28. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H3d. % 11.66/11.86 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.86 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e3) (e0)) = (e0)) = ((e1) = (e0))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H3e. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H67. % 11.66/11.86 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.66/11.86 cut (((op (e3) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H69]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_H69 zenon_H68). % 11.66/11.86 apply zenon_H3b. apply refl_equal. % 11.66/11.86 apply zenon_H27. apply refl_equal. % 11.66/11.86 apply zenon_H27. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L24_ *) % 11.66/11.86 assert (zenon_L25_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H6a zenon_H6b zenon_H44 zenon_H43 zenon_H5a zenon_H5f zenon_H67 zenon_H28. % 11.66/11.86 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.66/11.86 exact (zenon_H6b zenon_H6d). % 11.66/11.86 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.66/11.86 apply (zenon_L13_); trivial. % 11.66/11.86 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.66/11.86 apply (zenon_L23_); trivial. % 11.66/11.86 apply (zenon_L24_); trivial. % 11.66/11.86 (* end of lemma zenon_L25_ *) % 11.66/11.86 assert (zenon_L26_ : ((op (e2) (e0)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H5a zenon_H6f zenon_H70. % 11.66/11.86 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H71 | zenon_intro zenon_H72 ]. % 11.66/11.86 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e1) (e0)) = (op (e2) (e0)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H70. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H71. % 11.66/11.86 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 11.66/11.86 cut (((op (e2) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e1) (e0)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H73. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H5a. % 11.66/11.86 cut (((e2) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 11.66/11.86 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 11.66/11.86 congruence. % 11.66/11.86 apply zenon_H72. apply refl_equal. % 11.66/11.86 apply zenon_H74. apply sym_equal. exact zenon_H6f. % 11.66/11.86 apply zenon_H72. apply refl_equal. % 11.66/11.86 apply zenon_H72. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L26_ *) % 11.66/11.86 assert (zenon_L27_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H1d zenon_H75 zenon_H59. % 11.66/11.86 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H58 ]. % 11.66/11.86 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H59. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H60. % 11.66/11.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.86 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e0) (e1)) = (e0)) = ((e2) = (e0))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H76. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H1d. % 11.66/11.86 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.66/11.86 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_H77 zenon_H75). % 11.66/11.86 apply zenon_H3b. apply refl_equal. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L27_ *) % 11.66/11.86 assert (zenon_L28_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> False). % 11.66/11.86 do 0 intro. intros zenon_H78 zenon_H5e zenon_H79. % 11.66/11.86 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e1) (e2)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H78. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H5e. % 11.66/11.86 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 11.66/11.86 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 11.66/11.86 congruence. % 11.66/11.86 apply zenon_H7b. apply refl_equal. % 11.66/11.86 apply zenon_H7a. apply sym_equal. exact zenon_H79. % 11.66/11.86 (* end of lemma zenon_L28_ *) % 11.66/11.86 assert (zenon_L29_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H63 zenon_H7c zenon_H5f. % 11.66/11.86 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H58 ]. % 11.66/11.86 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H5f. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H60. % 11.66/11.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.86 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e0) (e3)) = (e1)) = ((e2) = (e1))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H61. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H63. % 11.66/11.86 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.86 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_H7d zenon_H7c). % 11.66/11.86 apply zenon_H27. apply refl_equal. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L29_ *) % 11.66/11.86 assert (zenon_L30_ : (((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 (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H7e zenon_H7f zenon_H59 zenon_H1d zenon_H79 zenon_H78 zenon_H63 zenon_H5f. % 11.66/11.86 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.66/11.86 exact (zenon_H7f zenon_H81). % 11.66/11.86 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.66/11.86 apply (zenon_L27_); trivial. % 11.66/11.86 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.66/11.86 apply (zenon_L28_); trivial. % 11.66/11.86 apply (zenon_L29_); trivial. % 11.66/11.86 (* end of lemma zenon_L30_ *) % 11.66/11.86 assert (zenon_L31_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H29 zenon_H6f zenon_H5f. % 11.66/11.86 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H58 ]. % 11.66/11.86 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H5f. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H60. % 11.66/11.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.86 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e1) (e0)) = (e1)) = ((e2) = (e1))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H61. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H29. % 11.66/11.86 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.86 cut (((op (e1) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H83]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_H83 zenon_H6f). % 11.66/11.86 apply zenon_H27. apply refl_equal. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L31_ *) % 11.66/11.86 assert (zenon_L32_ : (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> False). % 11.66/11.86 do 0 intro. intros zenon_H84 zenon_H5a zenon_H85. % 11.66/11.86 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e2) (e1)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H84. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H5a. % 11.66/11.86 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 11.66/11.86 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 11.66/11.86 congruence. % 11.66/11.86 apply zenon_H72. apply refl_equal. % 11.66/11.86 apply zenon_H86. apply sym_equal. exact zenon_H85. % 11.66/11.86 (* end of lemma zenon_L32_ *) % 11.66/11.86 assert (zenon_L33_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H67 zenon_H87 zenon_H59. % 11.66/11.86 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H58 ]. % 11.66/11.86 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H59. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H60. % 11.66/11.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.86 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e3) (e0)) = (e0)) = ((e2) = (e0))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H76. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H67. % 11.66/11.86 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.66/11.86 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_H88 zenon_H87). % 11.66/11.86 apply zenon_H3b. apply refl_equal. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L33_ *) % 11.66/11.86 assert (zenon_L34_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H89 zenon_H7f zenon_H5f zenon_H29 zenon_H85 zenon_H84 zenon_H67 zenon_H59. % 11.66/11.86 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.66/11.86 exact (zenon_H7f zenon_H81). % 11.66/11.86 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.66/11.86 apply (zenon_L31_); trivial. % 11.66/11.86 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.66/11.86 apply (zenon_L32_); trivial. % 11.66/11.86 apply (zenon_L33_); trivial. % 11.66/11.86 (* end of lemma zenon_L34_ *) % 11.66/11.86 assert (zenon_L35_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H1d zenon_H8c zenon_H8d. % 11.66/11.86 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 11.66/11.86 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H8d. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H8e. % 11.66/11.86 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.86 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e0) (e1)) = (e0)) = ((e3) = (e0))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H90. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H1d. % 11.66/11.86 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.66/11.86 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H91]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_H91 zenon_H8c). % 11.66/11.86 apply zenon_H3b. apply refl_equal. % 11.66/11.86 apply zenon_H8f. apply refl_equal. % 11.66/11.86 apply zenon_H8f. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L35_ *) % 11.66/11.86 assert (zenon_L36_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H92 zenon_H93 zenon_H59. % 11.66/11.86 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H58 ]. % 11.66/11.86 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H59. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H60. % 11.66/11.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.86 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e1) (e3)) = (e0)) = ((e2) = (e0))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H76. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H92. % 11.66/11.86 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.66/11.86 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H94]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_H94 zenon_H93). % 11.66/11.86 apply zenon_H3b. apply refl_equal. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L36_ *) % 11.66/11.86 assert (zenon_L37_ : (((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))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H95 zenon_H70 zenon_H5a zenon_H96 zenon_H5f zenon_H63 zenon_H78 zenon_H1d zenon_H7f zenon_H7e zenon_H92 zenon_H59. % 11.66/11.86 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.66/11.86 apply (zenon_L26_); trivial. % 11.66/11.86 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.66/11.86 exact (zenon_H96 zenon_H99). % 11.66/11.86 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.66/11.86 apply (zenon_L30_); trivial. % 11.66/11.86 apply (zenon_L36_); trivial. % 11.66/11.86 (* end of lemma zenon_L37_ *) % 11.66/11.86 assert (zenon_L38_ : (~((op (e1) (op (e1) (e1))) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e3)) -> False). % 11.66/11.86 do 0 intro. intros zenon_H9a zenon_H9b. % 11.66/11.86 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 11.66/11.86 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.86 congruence. % 11.66/11.86 apply zenon_H27. apply refl_equal. % 11.66/11.86 exact (zenon_H9c zenon_H9b). % 11.66/11.86 (* end of lemma zenon_L38_ *) % 11.66/11.86 assert (zenon_L39_ : ((op (e1) (e3)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> (~((e2) = (op (e1) (op (e1) (e1))))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H93 zenon_H9b zenon_H9d. % 11.66/11.86 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H9e | zenon_intro zenon_H9f ]. % 11.66/11.86 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e2) = (op (e1) (op (e1) (e1))))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H9d. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H9e. % 11.66/11.86 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H9f]. % 11.66/11.86 cut (((op (e1) (op (e1) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e1) (e3)) = (e2)) = ((op (e1) (op (e1) (e1))) = (e2))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Ha0. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H93. % 11.66/11.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.86 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 11.66/11.86 congruence. % 11.66/11.86 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H9e | zenon_intro zenon_H9f ]. % 11.66/11.86 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e1))))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Ha1. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H9e. % 11.66/11.86 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H9f]. % 11.66/11.86 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 11.66/11.86 congruence. % 11.66/11.86 apply (zenon_L38_); trivial. % 11.66/11.86 apply zenon_H9f. apply refl_equal. % 11.66/11.86 apply zenon_H9f. apply refl_equal. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 apply zenon_H9f. apply refl_equal. % 11.66/11.86 apply zenon_H9f. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L39_ *) % 11.66/11.86 assert (zenon_L40_ : ((op (e2) (e3)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> False). % 11.66/11.86 do 0 intro. intros zenon_Ha2 zenon_H93 zenon_H9b. % 11.66/11.86 apply (zenon_notand_s _ _ ax6); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha3 ]. % 11.66/11.86 elim (classic ((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha6 ]. % 11.66/11.86 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) = ((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Ha4. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_Ha5. % 11.66/11.86 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 11.66/11.86 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e2) (e3)) = (e0)) = ((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (e0))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Ha7. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_Ha2. % 11.66/11.86 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.66/11.86 cut (((op (e2) (e3)) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 11.66/11.86 congruence. % 11.66/11.86 elim (classic ((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha6 ]. % 11.66/11.86 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) = ((op (e2) (e3)) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Ha8. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_Ha5. % 11.66/11.86 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 11.66/11.86 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 11.66/11.86 cut (((op (e1) (op (e1) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e1) (e3)) = (e2)) = ((op (e1) (op (e1) (e1))) = (e2))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Ha0. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H93. % 11.66/11.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.86 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 11.66/11.86 congruence. % 11.66/11.86 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H9e | zenon_intro zenon_H9f ]. % 11.66/11.86 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e1))))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Ha1. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H9e. % 11.66/11.86 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H9f]. % 11.66/11.86 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 11.66/11.86 congruence. % 11.66/11.86 apply (zenon_L38_); trivial. % 11.66/11.86 apply zenon_H9f. apply refl_equal. % 11.66/11.86 apply zenon_H9f. apply refl_equal. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 exact (zenon_H9c zenon_H9b). % 11.66/11.86 apply zenon_Ha6. apply refl_equal. % 11.66/11.86 apply zenon_Ha6. apply refl_equal. % 11.66/11.86 apply zenon_H3b. apply refl_equal. % 11.66/11.86 apply zenon_Ha6. apply refl_equal. % 11.66/11.86 apply zenon_Ha6. apply refl_equal. % 11.66/11.86 apply (zenon_notand_s _ _ zenon_Ha3); [ zenon_intro zenon_H9d | zenon_intro zenon_Haa ]. % 11.66/11.86 apply (zenon_L39_); trivial. % 11.66/11.86 apply zenon_Haa. apply sym_equal. exact zenon_H9b. % 11.66/11.86 (* end of lemma zenon_L40_ *) % 11.66/11.86 assert (zenon_L41_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False). % 11.66/11.86 do 0 intro. intros zenon_Hab zenon_H67 zenon_Hac. % 11.66/11.86 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e3)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hab. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H67. % 11.66/11.86 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Had]. % 11.66/11.86 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.66/11.86 congruence. % 11.66/11.86 apply zenon_Hae. apply refl_equal. % 11.66/11.86 apply zenon_Had. apply sym_equal. exact zenon_Hac. % 11.66/11.86 (* end of lemma zenon_L41_ *) % 11.66/11.86 assert (zenon_L42_ : ((op (e2) (e1)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.66/11.86 do 0 intro. intros zenon_Haf zenon_Hb0 zenon_Hb1. % 11.66/11.86 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 11.66/11.86 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hb1. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H8e. % 11.66/11.86 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.86 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb2]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e2) (e1)) = (e1)) = ((e3) = (e1))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hb2. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_Haf. % 11.66/11.86 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.86 cut (((op (e2) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hb3]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_Hb3 zenon_Hb0). % 11.66/11.86 apply zenon_H27. apply refl_equal. % 11.66/11.86 apply zenon_H8f. apply refl_equal. % 11.66/11.86 apply zenon_H8f. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L42_ *) % 11.66/11.86 assert (zenon_L43_ : (~((e3) = (e3))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H8f. % 11.66/11.86 apply zenon_H8f. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L43_ *) % 11.66/11.86 assert (zenon_L44_ : (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e2)) -> False). % 11.66/11.86 do 0 intro. intros zenon_Hb4 zenon_Hb5 zenon_Hb6. % 11.66/11.86 cut (((op (e3) (e1)) = (e3)) = ((e2) = (e3))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hb4. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_Hb5. % 11.66/11.86 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.86 cut (((op (e3) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hb7]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_Hb7 zenon_Hb6). % 11.66/11.86 apply zenon_H8f. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L44_ *) % 11.66/11.86 assert (zenon_L45_ : ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.66/11.86 do 0 intro. intros zenon_Hb8 zenon_Hb6 zenon_H5f. % 11.66/11.86 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H58 ]. % 11.66/11.86 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H5f. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H60. % 11.66/11.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.86 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e3) (e1)) = (e1)) = ((e2) = (e1))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H61. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_Hb8. % 11.66/11.86 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.86 cut (((op (e3) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hb7]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_Hb7 zenon_Hb6). % 11.66/11.86 apply zenon_H27. apply refl_equal. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L45_ *) % 11.66/11.86 assert (zenon_L46_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.66/11.86 do 0 intro. intros zenon_Hb9 zenon_H1d zenon_H96 zenon_H59 zenon_H67 zenon_H84 zenon_H29 zenon_H7f zenon_H89 zenon_Hb8 zenon_H5f. % 11.66/11.86 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.66/11.86 apply (zenon_L27_); trivial. % 11.66/11.86 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.66/11.86 exact (zenon_H96 zenon_H99). % 11.66/11.86 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.66/11.86 apply (zenon_L34_); trivial. % 11.66/11.86 apply (zenon_L45_); trivial. % 11.66/11.86 (* end of lemma zenon_L46_ *) % 11.66/11.86 assert (zenon_L47_ : ((op (e0) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H6d zenon_H81 zenon_H5f. % 11.66/11.86 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H58 ]. % 11.66/11.86 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H5f. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H60. % 11.66/11.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.86 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e0) (e0)) = (e1)) = ((e2) = (e1))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H61. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H6d. % 11.66/11.86 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.86 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7f]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_H7f zenon_H81). % 11.66/11.86 apply zenon_H27. apply refl_equal. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L47_ *) % 11.66/11.86 assert (zenon_L48_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H2f zenon_H5e zenon_H59. % 11.66/11.86 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H58 ]. % 11.66/11.86 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H59. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H60. % 11.66/11.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.86 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e0) (e2)) = (e0)) = ((e2) = (e0))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H76. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H2f. % 11.66/11.86 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.66/11.86 cut (((op (e0) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_H62 zenon_H5e). % 11.66/11.86 apply zenon_H3b. apply refl_equal. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L48_ *) % 11.66/11.86 assert (zenon_L49_ : ((op (e0) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H6d zenon_Hbc zenon_Hb1. % 11.66/11.86 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 11.66/11.86 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hb1. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H8e. % 11.66/11.86 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.86 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb2]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e0) (e0)) = (e1)) = ((e3) = (e1))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hb2. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H6d. % 11.66/11.86 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.86 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hbd]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_Hbd zenon_Hbc). % 11.66/11.86 apply zenon_H27. apply refl_equal. % 11.66/11.86 apply zenon_H8f. apply refl_equal. % 11.66/11.86 apply zenon_H8f. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L49_ *) % 11.66/11.86 assert (zenon_L50_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H2f zenon_Hbe zenon_H8d. % 11.66/11.86 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 11.66/11.86 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H8d. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H8e. % 11.66/11.86 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.86 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e0) (e2)) = (e0)) = ((e3) = (e0))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H90. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H2f. % 11.66/11.86 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.66/11.86 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hbf]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_Hbf zenon_Hbe). % 11.66/11.86 apply zenon_H3b. apply refl_equal. % 11.66/11.86 apply zenon_H8f. apply refl_equal. % 11.66/11.86 apply zenon_H8f. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L50_ *) % 11.66/11.86 assert (zenon_L51_ : ((op (e0) (e3)) = (e2)) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H7c zenon_Hc0 zenon_Hb4. % 11.66/11.86 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 11.66/11.86 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hb4. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H8e. % 11.66/11.86 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.86 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hc1]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e0) (e3)) = (e2)) = ((e3) = (e2))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hc1. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H7c. % 11.66/11.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.86 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hc2]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_Hc2 zenon_Hc0). % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 apply zenon_H8f. apply refl_equal. % 11.66/11.86 apply zenon_H8f. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L51_ *) % 11.66/11.86 assert (zenon_L52_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((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)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H7e zenon_H5f zenon_H59 zenon_Hc3 zenon_Hb1 zenon_H6d zenon_H1d zenon_H8d zenon_H2f zenon_Hb4. % 11.66/11.86 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.66/11.86 apply (zenon_L47_); trivial. % 11.66/11.86 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.66/11.86 apply (zenon_L27_); trivial. % 11.66/11.86 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.66/11.86 apply (zenon_L48_); trivial. % 11.66/11.86 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.66/11.86 apply (zenon_L49_); trivial. % 11.66/11.86 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.66/11.86 apply (zenon_L35_); trivial. % 11.66/11.86 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.66/11.86 apply (zenon_L50_); trivial. % 11.66/11.86 apply (zenon_L51_); trivial. % 11.66/11.86 (* end of lemma zenon_L52_ *) % 11.66/11.86 assert (zenon_L53_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H2f zenon_H5d zenon_H28. % 11.66/11.86 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H3d | zenon_intro zenon_H27 ]. % 11.66/11.86 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H28. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H3d. % 11.66/11.86 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.86 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e0) (e2)) = (e0)) = ((e1) = (e0))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H3e. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H2f. % 11.66/11.86 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.66/11.86 cut (((op (e0) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hc6]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_Hc6 zenon_H5d). % 11.66/11.86 apply zenon_H3b. apply refl_equal. % 11.66/11.86 apply zenon_H27. apply refl_equal. % 11.66/11.86 apply zenon_H27. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L53_ *) % 11.66/11.86 assert (zenon_L54_ : ((op (e2) (e0)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H5a zenon_H81 zenon_Hc7. % 11.66/11.86 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H71 | zenon_intro zenon_H72 ]. % 11.66/11.86 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e0) (e0)) = (op (e2) (e0)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hc7. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H71. % 11.66/11.86 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 11.66/11.86 cut (((op (e2) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc8]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e0) (e0)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hc8. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H5a. % 11.66/11.86 cut (((e2) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc9]. % 11.66/11.86 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 11.66/11.86 congruence. % 11.66/11.86 apply zenon_H72. apply refl_equal. % 11.66/11.86 apply zenon_Hc9. apply sym_equal. exact zenon_H81. % 11.66/11.86 apply zenon_H72. apply refl_equal. % 11.66/11.86 apply zenon_H72. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L54_ *) % 11.66/11.86 assert (zenon_L55_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H7e zenon_Hc7 zenon_H5a zenon_H1d zenon_H59 zenon_H2f zenon_H63 zenon_H5f. % 11.66/11.86 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.66/11.86 apply (zenon_L54_); trivial. % 11.66/11.86 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.66/11.86 apply (zenon_L27_); trivial. % 11.66/11.86 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.66/11.86 apply (zenon_L48_); trivial. % 11.66/11.86 apply (zenon_L29_); trivial. % 11.66/11.86 (* end of lemma zenon_L55_ *) % 11.66/11.86 assert (zenon_L56_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (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 (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> False). % 11.66/11.86 do 0 intro. intros zenon_Hca zenon_Hb4 zenon_H8d zenon_Hb1 zenon_Hc3 zenon_H28 zenon_H7e zenon_Hc7 zenon_H5a zenon_H1d zenon_H59 zenon_H2f zenon_H5f. % 11.66/11.86 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.66/11.86 apply (zenon_L52_); trivial. % 11.66/11.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.66/11.86 apply (zenon_L11_); trivial. % 11.66/11.86 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.66/11.86 apply (zenon_L53_); trivial. % 11.66/11.86 apply (zenon_L55_); trivial. % 11.66/11.86 (* end of lemma zenon_L56_ *) % 11.66/11.86 assert (zenon_L57_ : ((op (e2) (e1)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H85 zenon_H75 zenon_Hcd. % 11.66/11.86 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_Hce | zenon_intro zenon_Hcf ]. % 11.66/11.86 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e0) (e1)) = (op (e2) (e1)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hcd. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_Hce. % 11.66/11.86 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 11.66/11.86 cut (((op (e2) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hd0]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e0) (e1)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hd0. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H85. % 11.66/11.86 cut (((e2) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hd1]. % 11.66/11.86 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 11.66/11.86 congruence. % 11.66/11.86 apply zenon_Hcf. apply refl_equal. % 11.66/11.86 apply zenon_Hd1. apply sym_equal. exact zenon_H75. % 11.66/11.86 apply zenon_Hcf. apply refl_equal. % 11.66/11.86 apply zenon_Hcf. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L57_ *) % 11.66/11.86 assert (zenon_L58_ : (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> False). % 11.66/11.86 do 0 intro. intros zenon_H2e zenon_H3c zenon_H5d. % 11.66/11.86 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e0) (e2)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H2e. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H3c. % 11.66/11.86 cut (((e1) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 11.66/11.86 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 11.66/11.86 congruence. % 11.66/11.86 apply zenon_H21. apply refl_equal. % 11.66/11.86 apply zenon_Hd2. apply sym_equal. exact zenon_H5d. % 11.66/11.86 (* end of lemma zenon_L58_ *) % 11.66/11.86 assert (zenon_L59_ : (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e1)) -> False). % 11.66/11.86 do 0 intro. intros zenon_H5f zenon_H85 zenon_Haf. % 11.66/11.86 cut (((op (e2) (e1)) = (e2)) = ((e1) = (e2))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H5f. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H85. % 11.66/11.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.86 cut (((op (e2) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_Hd3 zenon_Haf). % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L59_ *) % 11.66/11.86 assert (zenon_L60_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H5b zenon_H65 zenon_H28. % 11.66/11.86 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H3d | zenon_intro zenon_H27 ]. % 11.66/11.86 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H28. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H3d. % 11.66/11.86 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.86 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e2) (e0)) = (e0)) = ((e1) = (e0))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H3e. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H5b. % 11.66/11.86 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.66/11.86 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H66]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_H66 zenon_H65). % 11.66/11.86 apply zenon_H3b. apply refl_equal. % 11.66/11.86 apply zenon_H27. apply refl_equal. % 11.66/11.86 apply zenon_H27. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L60_ *) % 11.66/11.86 assert (zenon_L61_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False). % 11.66/11.86 do 0 intro. intros zenon_Hd4 zenon_H5d zenon_Hd5. % 11.66/11.86 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e2) (e2)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hd4. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H5d. % 11.66/11.86 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hd6]. % 11.66/11.86 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 11.66/11.86 congruence. % 11.66/11.86 apply zenon_H7b. apply refl_equal. % 11.66/11.86 apply zenon_Hd6. apply sym_equal. exact zenon_Hd5. % 11.66/11.86 (* end of lemma zenon_L61_ *) % 11.66/11.86 assert (zenon_L62_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H5b zenon_Hd7 zenon_H8d. % 11.66/11.86 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 11.66/11.86 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H8d. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H8e. % 11.66/11.86 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.86 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e2) (e0)) = (e0)) = ((e3) = (e0))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_H90. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H5b. % 11.66/11.86 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.66/11.86 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_Hd8 zenon_Hd7). % 11.66/11.86 apply zenon_H3b. apply refl_equal. % 11.66/11.86 apply zenon_H8f. apply refl_equal. % 11.66/11.86 apply zenon_H8f. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L62_ *) % 11.66/11.86 assert (zenon_L63_ : ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.66/11.86 do 0 intro. intros zenon_H85 zenon_Hb0 zenon_Hb4. % 11.66/11.86 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 11.66/11.86 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hb4. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H8e. % 11.66/11.86 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.86 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hc1]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e2) (e1)) = (e2)) = ((e3) = (e2))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hc1. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H85. % 11.66/11.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.86 cut (((op (e2) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hb3]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_Hb3 zenon_Hb0). % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 apply zenon_H8f. apply refl_equal. % 11.66/11.86 apply zenon_H8f. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L63_ *) % 11.66/11.86 assert (zenon_L64_ : ((op (e3) (e0)) = (e3)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> False). % 11.66/11.86 do 0 intro. intros zenon_Hd9 zenon_Hbc zenon_Hda. % 11.66/11.86 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hae ]. % 11.66/11.86 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e0) (e0)) = (op (e3) (e0)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hda. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_Hdb. % 11.66/11.86 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.66/11.86 cut (((op (e3) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hdc]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e0) (e0)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hdc. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_Hd9. % 11.66/11.86 cut (((e3) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hdd]. % 11.66/11.86 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.66/11.86 congruence. % 11.66/11.86 apply zenon_Hae. apply refl_equal. % 11.66/11.86 apply zenon_Hdd. apply sym_equal. exact zenon_Hbc. % 11.66/11.86 apply zenon_Hae. apply refl_equal. % 11.66/11.86 apply zenon_Hae. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L64_ *) % 11.66/11.86 assert (zenon_L65_ : (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e1)) -> False). % 11.66/11.86 do 0 intro. intros zenon_Hb1 zenon_Hb5 zenon_Hb8. % 11.66/11.86 cut (((op (e3) (e1)) = (e3)) = ((e1) = (e3))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hb1. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_Hb5. % 11.66/11.86 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.86 cut (((op (e3) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hde]. % 11.66/11.86 congruence. % 11.66/11.86 exact (zenon_Hde zenon_Hb8). % 11.66/11.86 apply zenon_H8f. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L65_ *) % 11.66/11.86 assert (zenon_L66_ : ((op (e3) (e2)) = (e3)) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False). % 11.66/11.86 do 0 intro. intros zenon_Hdf zenon_He0 zenon_He1. % 11.66/11.86 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_He2 | zenon_intro zenon_He3 ]. % 11.66/11.86 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e2) (e2)) = (op (e3) (e2)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_He1. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_He2. % 11.66/11.86 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 11.66/11.86 cut (((op (e3) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e2) (e2)))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_He4. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_Hdf. % 11.66/11.86 cut (((e3) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_He5]. % 11.66/11.86 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 11.66/11.86 congruence. % 11.66/11.86 apply zenon_He3. apply refl_equal. % 11.66/11.86 apply zenon_He5. apply sym_equal. exact zenon_He0. % 11.66/11.86 apply zenon_He3. apply refl_equal. % 11.66/11.86 apply zenon_He3. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L66_ *) % 11.66/11.86 assert (zenon_L67_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False). % 11.66/11.86 do 0 intro. intros zenon_He6 zenon_He0. % 11.66/11.86 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_He7]. % 11.66/11.86 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.86 congruence. % 11.66/11.86 apply zenon_H58. apply refl_equal. % 11.66/11.86 exact (zenon_He7 zenon_He0). % 11.66/11.86 (* end of lemma zenon_L67_ *) % 11.66/11.86 assert (zenon_L68_ : ((op (e2) (e3)) = (e1)) -> ((op (e2) (e2)) = (e3)) -> (~((e1) = (op (e2) (op (e2) (e2))))) -> False). % 11.66/11.86 do 0 intro. intros zenon_He8 zenon_He0 zenon_He9. % 11.66/11.86 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Hea | zenon_intro zenon_Heb ]. % 11.66/11.86 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e1) = (op (e2) (op (e2) (e2))))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_He9. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_Hea. % 11.66/11.86 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 11.66/11.86 cut (((op (e2) (op (e2) (e2))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hec]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e2) (e3)) = (e1)) = ((op (e2) (op (e2) (e2))) = (e1))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hec. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_He8. % 11.66/11.86 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.86 cut (((op (e2) (e3)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hed]. % 11.66/11.86 congruence. % 11.66/11.86 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Hea | zenon_intro zenon_Heb ]. % 11.66/11.86 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e3)) = (op (e2) (op (e2) (e2))))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hed. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_Hea. % 11.66/11.86 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 11.66/11.86 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He6]. % 11.66/11.86 congruence. % 11.66/11.86 apply (zenon_L67_); trivial. % 11.66/11.86 apply zenon_Heb. apply refl_equal. % 11.66/11.86 apply zenon_Heb. apply refl_equal. % 11.66/11.86 apply zenon_H27. apply refl_equal. % 11.66/11.86 apply zenon_Heb. apply refl_equal. % 11.66/11.86 apply zenon_Heb. apply refl_equal. % 11.66/11.86 (* end of lemma zenon_L68_ *) % 11.66/11.86 assert (zenon_L69_ : ((op (e1) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> ((op (e2) (e2)) = (e3)) -> False). % 11.66/11.86 do 0 intro. intros zenon_H92 zenon_He8 zenon_He0. % 11.66/11.86 apply (zenon_notand_s _ _ ax8); [ zenon_intro zenon_Hef | zenon_intro zenon_Hee ]. % 11.66/11.86 elim (classic ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf1 ]. % 11.66/11.86 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) = ((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hef. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_Hf0. % 11.66/11.86 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 11.66/11.86 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e1) (e3)) = (e0)) = ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (e0))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hf2. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_H92. % 11.66/11.86 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.66/11.86 cut (((op (e1) (e3)) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hf3]. % 11.66/11.86 congruence. % 11.66/11.86 elim (classic ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf1 ]. % 11.66/11.86 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) = ((op (e1) (e3)) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hf3. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_Hf0. % 11.66/11.86 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 11.66/11.86 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hf4]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_He7]. % 11.66/11.86 cut (((op (e2) (op (e2) (e2))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hec]. % 11.66/11.86 congruence. % 11.66/11.86 cut (((op (e2) (e3)) = (e1)) = ((op (e2) (op (e2) (e2))) = (e1))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hec. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_He8. % 11.66/11.86 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.86 cut (((op (e2) (e3)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hed]. % 11.66/11.86 congruence. % 11.66/11.86 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Hea | zenon_intro zenon_Heb ]. % 11.66/11.86 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e3)) = (op (e2) (op (e2) (e2))))). % 11.66/11.86 intro zenon_D_pnotp. % 11.66/11.86 apply zenon_Hed. % 11.66/11.86 rewrite <- zenon_D_pnotp. % 11.66/11.86 exact zenon_Hea. % 11.66/11.86 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 11.66/11.86 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He6]. % 11.66/11.86 congruence. % 11.66/11.86 apply (zenon_L67_); trivial. % 11.66/11.86 apply zenon_Heb. apply refl_equal. % 11.66/11.86 apply zenon_Heb. apply refl_equal. % 11.66/11.86 apply zenon_H27. apply refl_equal. % 11.66/11.86 exact (zenon_He7 zenon_He0). % 11.66/11.86 apply zenon_Hf1. apply refl_equal. % 11.66/11.86 apply zenon_Hf1. apply refl_equal. % 11.66/11.86 apply zenon_H3b. apply refl_equal. % 11.66/11.86 apply zenon_Hf1. apply refl_equal. % 11.66/11.87 apply zenon_Hf1. apply refl_equal. % 11.66/11.87 apply (zenon_notand_s _ _ zenon_Hee); [ zenon_intro zenon_He9 | zenon_intro zenon_He5 ]. % 11.66/11.87 apply (zenon_L68_); trivial. % 11.66/11.87 apply zenon_He5. apply sym_equal. exact zenon_He0. % 11.66/11.87 (* end of lemma zenon_L69_ *) % 11.66/11.87 assert (zenon_L70_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False). % 11.66/11.87 do 0 intro. intros zenon_Hf5 zenon_H51 zenon_He8. % 11.66/11.87 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e2) (e3)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Hf5. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H51. % 11.66/11.87 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hf6]. % 11.66/11.87 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_H54. apply refl_equal. % 11.66/11.87 apply zenon_Hf6. apply sym_equal. exact zenon_He8. % 11.66/11.87 (* end of lemma zenon_L70_ *) % 11.66/11.87 assert (zenon_L71_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> False). % 11.66/11.87 do 0 intro. intros zenon_Hf7 zenon_H7c zenon_H93. % 11.66/11.87 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (e3)) = (op (e1) (e3)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Hf7. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H7c. % 11.66/11.87 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hf8]. % 11.66/11.87 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_H36. apply refl_equal. % 11.66/11.87 apply zenon_Hf8. apply sym_equal. exact zenon_H93. % 11.66/11.87 (* end of lemma zenon_L71_ *) % 11.66/11.87 assert (zenon_L72_ : ((op (e3) (e3)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.66/11.87 do 0 intro. intros zenon_Hf9 zenon_Hfa zenon_Hfb. % 11.66/11.87 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfd ]. % 11.66/11.87 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e1) (e3)) = (op (e3) (e3)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Hfb. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_Hfc. % 11.66/11.87 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 11.66/11.87 cut (((op (e3) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hfe]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e1) (e3)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Hfe. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_Hf9. % 11.66/11.87 cut (((e3) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 11.66/11.87 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_Hfd. apply refl_equal. % 11.66/11.87 apply zenon_Hff. apply sym_equal. exact zenon_Hfa. % 11.66/11.87 apply zenon_Hfd. apply refl_equal. % 11.66/11.87 apply zenon_Hfd. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L72_ *) % 11.66/11.87 assert (zenon_L73_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H100 zenon_He0 zenon_He8 zenon_Hf5 zenon_H7c zenon_Hf7 zenon_Hf9 zenon_Hfb. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H92 | zenon_intro zenon_H101 ]. % 11.66/11.87 apply (zenon_L69_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H51 | zenon_intro zenon_H102 ]. % 11.66/11.87 apply (zenon_L70_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H93 | zenon_intro zenon_Hfa ]. % 11.66/11.87 apply (zenon_L71_); trivial. % 11.66/11.87 apply (zenon_L72_); trivial. % 11.66/11.87 (* end of lemma zenon_L73_ *) % 11.66/11.87 assert (zenon_L74_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H103 zenon_Hda zenon_Hbc zenon_Hb8 zenon_Hb1 zenon_He1 zenon_H100 zenon_He0 zenon_He8 zenon_Hf5 zenon_H7c zenon_Hf7 zenon_Hfb. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H104 ]. % 11.66/11.87 apply (zenon_L64_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H105 ]. % 11.66/11.87 apply (zenon_L65_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf9 ]. % 11.66/11.87 apply (zenon_L66_); trivial. % 11.66/11.87 apply (zenon_L73_); trivial. % 11.66/11.87 (* end of lemma zenon_L74_ *) % 11.66/11.87 assert (zenon_L75_ : (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> ((op (e2) (e3)) = (e1)) -> False). % 11.66/11.87 do 0 intro. intros zenon_Hb1 zenon_H106 zenon_He8. % 11.66/11.87 cut (((op (e2) (e3)) = (e3)) = ((e1) = (e3))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Hb1. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H106. % 11.66/11.87 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.87 cut (((op (e2) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H107]. % 11.66/11.87 congruence. % 11.66/11.87 exact (zenon_H107 zenon_He8). % 11.66/11.87 apply zenon_H8f. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L75_ *) % 11.66/11.87 assert (zenon_L76_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H5d zenon_Hbe zenon_Hb1. % 11.66/11.87 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 11.66/11.87 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Hb1. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H8e. % 11.66/11.87 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.87 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb2]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e0) (e2)) = (e1)) = ((e3) = (e1))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Hb2. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H5d. % 11.66/11.87 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.87 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hbf]. % 11.66/11.87 congruence. % 11.66/11.87 exact (zenon_Hbf zenon_Hbe). % 11.66/11.87 apply zenon_H27. apply refl_equal. % 11.66/11.87 apply zenon_H8f. apply refl_equal. % 11.66/11.87 apply zenon_H8f. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L76_ *) % 11.66/11.87 assert (zenon_L77_ : ((op (e1) (e0)) = (e1)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H29 zenon_H6d zenon_H108. % 11.66/11.87 elim (classic ((op (e1) (e0)) = (op (e1) (e0)))); [ zenon_intro zenon_H109 | zenon_intro zenon_H46 ]. % 11.66/11.87 cut (((op (e1) (e0)) = (op (e1) (e0))) = ((op (e0) (e0)) = (op (e1) (e0)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H108. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H109. % 11.66/11.87 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 11.66/11.87 cut (((op (e1) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H10a]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e0) (e0)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H10a. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H29. % 11.66/11.87 cut (((e1) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 11.66/11.87 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_H46. apply refl_equal. % 11.66/11.87 apply zenon_H10b. apply sym_equal. exact zenon_H6d. % 11.66/11.87 apply zenon_H46. apply refl_equal. % 11.66/11.87 apply zenon_H46. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L77_ *) % 11.66/11.87 assert (zenon_L78_ : ((op (e2) (e2)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H10c zenon_H79 zenon_H10d. % 11.66/11.87 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H10e | zenon_intro zenon_H10f ]. % 11.66/11.87 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e1) (e2)) = (op (e2) (e2)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H10d. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H10e. % 11.66/11.87 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10f]. % 11.66/11.87 cut (((op (e2) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e1) (e2)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H110. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H10c. % 11.66/11.87 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 11.66/11.87 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10f]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_H10f. apply refl_equal. % 11.66/11.87 apply zenon_H7a. apply sym_equal. exact zenon_H79. % 11.66/11.87 apply zenon_H10f. apply refl_equal. % 11.66/11.87 apply zenon_H10f. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L78_ *) % 11.66/11.87 assert (zenon_L79_ : (((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). % 11.66/11.87 do 0 intro. intros zenon_H7e zenon_H7f zenon_H59 zenon_H1d zenon_H5d zenon_H95 zenon_H5f zenon_H29 zenon_H96 zenon_H10d zenon_H10c zenon_Hf7. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.66/11.87 exact (zenon_H7f zenon_H81). % 11.66/11.87 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.66/11.87 apply (zenon_L27_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.66/11.87 apply (zenon_L21_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.66/11.87 apply (zenon_L31_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.66/11.87 exact (zenon_H96 zenon_H99). % 11.66/11.87 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.66/11.87 apply (zenon_L78_); trivial. % 11.66/11.87 apply (zenon_L71_); trivial. % 11.66/11.87 (* end of lemma zenon_L79_ *) % 11.66/11.87 assert (zenon_L80_ : ((op (e2) (e2)) = (e2)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H10c zenon_H5e zenon_Hd4. % 11.66/11.87 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H10e | zenon_intro zenon_H10f ]. % 11.66/11.87 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e0) (e2)) = (op (e2) (e2)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Hd4. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H10e. % 11.66/11.87 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10f]. % 11.66/11.87 cut (((op (e2) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H111]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e0) (e2)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H111. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H10c. % 11.66/11.87 cut (((e2) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H112]. % 11.66/11.87 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10f]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_H10f. apply refl_equal. % 11.66/11.87 apply zenon_H112. apply sym_equal. exact zenon_H5e. % 11.66/11.87 apply zenon_H10f. apply refl_equal. % 11.66/11.87 apply zenon_H10f. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L80_ *) % 11.66/11.87 assert (zenon_L81_ : (((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) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.66/11.87 do 0 intro. intros zenon_Hca zenon_H108 zenon_H28 zenon_Hf7 zenon_H10d zenon_H96 zenon_H29 zenon_H95 zenon_H7e zenon_H7f zenon_H59 zenon_H1d zenon_Hd4 zenon_H10c zenon_H5f. % 11.66/11.87 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.66/11.87 apply (zenon_L77_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.66/11.87 apply (zenon_L11_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.66/11.87 apply (zenon_L79_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.66/11.87 exact (zenon_H7f zenon_H81). % 11.66/11.87 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.66/11.87 apply (zenon_L27_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.66/11.87 apply (zenon_L80_); trivial. % 11.66/11.87 apply (zenon_L29_); trivial. % 11.66/11.87 (* end of lemma zenon_L81_ *) % 11.66/11.87 assert (zenon_L82_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H113 zenon_H4a zenon_H108 zenon_H29 zenon_H28 zenon_H1d zenon_H7e zenon_H10d zenon_H10c zenon_Hf7 zenon_H95 zenon_H5f zenon_H59 zenon_H7f zenon_Hd4 zenon_Hca. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H96 | zenon_intro zenon_H49 ]. % 11.66/11.87 apply (zenon_L81_); trivial. % 11.66/11.87 apply (zenon_L15_); trivial. % 11.66/11.87 (* end of lemma zenon_L82_ *) % 11.66/11.87 assert (zenon_L83_ : ((op (e3) (e2)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H114 zenon_H79 zenon_H115. % 11.66/11.87 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_He2 | zenon_intro zenon_He3 ]. % 11.66/11.87 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e1) (e2)) = (op (e3) (e2)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H115. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_He2. % 11.66/11.87 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 11.66/11.87 cut (((op (e3) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e3) (e2)) = (e2)) = ((op (e3) (e2)) = (op (e1) (e2)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H116. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H114. % 11.66/11.87 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 11.66/11.87 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_He3. apply refl_equal. % 11.66/11.87 apply zenon_H7a. apply sym_equal. exact zenon_H79. % 11.66/11.87 apply zenon_He3. apply refl_equal. % 11.66/11.87 apply zenon_He3. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L83_ *) % 11.66/11.87 assert (zenon_L84_ : ((op (e2) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H117 zenon_H93 zenon_Hf5. % 11.66/11.87 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H118 | zenon_intro zenon_H119 ]. % 11.66/11.87 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e1) (e3)) = (op (e2) (e3)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Hf5. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H118. % 11.66/11.87 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 11.66/11.87 cut (((op (e2) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e1) (e3)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H11a. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H117. % 11.66/11.87 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hf8]. % 11.66/11.87 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_H119. apply refl_equal. % 11.66/11.87 apply zenon_Hf8. apply sym_equal. exact zenon_H93. % 11.66/11.87 apply zenon_H119. apply refl_equal. % 11.66/11.87 apply zenon_H119. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L84_ *) % 11.66/11.87 assert (zenon_L85_ : (((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 (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H95 zenon_H5f zenon_H29 zenon_H96 zenon_H115 zenon_H114 zenon_H117 zenon_Hf5. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.66/11.87 apply (zenon_L31_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.66/11.87 exact (zenon_H96 zenon_H99). % 11.66/11.87 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.66/11.87 apply (zenon_L83_); trivial. % 11.66/11.87 apply (zenon_L84_); trivial. % 11.66/11.87 (* end of lemma zenon_L85_ *) % 11.66/11.87 assert (zenon_L86_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H11b zenon_H4a zenon_H5f zenon_H29 zenon_H115 zenon_Hf5 zenon_H95. % 11.66/11.87 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H117. zenon_intro zenon_H11c. % 11.66/11.87 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H114. zenon_intro zenon_H11d. % 11.66/11.87 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 11.66/11.87 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H113. zenon_intro zenon_H120. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H96 | zenon_intro zenon_H49 ]. % 11.66/11.87 apply (zenon_L85_); trivial. % 11.66/11.87 apply (zenon_L15_); trivial. % 11.66/11.87 (* end of lemma zenon_L86_ *) % 11.66/11.87 assert (zenon_L87_ : ((op (e3) (e1)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.66/11.87 do 0 intro. intros zenon_Hb5 zenon_Hd9 zenon_H121. % 11.66/11.87 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H122 | zenon_intro zenon_H123 ]. % 11.66/11.87 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e3) (e0)) = (op (e3) (e1)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H121. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H122. % 11.66/11.87 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 11.66/11.87 cut (((op (e3) (e1)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H124]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e3) (e0)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H124. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_Hb5. % 11.66/11.87 cut (((e3) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H125]. % 11.66/11.87 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_H123. apply refl_equal. % 11.66/11.87 apply zenon_H125. apply sym_equal. exact zenon_Hd9. % 11.66/11.87 apply zenon_H123. apply refl_equal. % 11.66/11.87 apply zenon_H123. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L87_ *) % 11.66/11.87 assert (zenon_L88_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H126 zenon_Hb5 zenon_H121. % 11.66/11.87 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hd9. zenon_intro zenon_H127. % 11.66/11.87 apply (zenon_L87_); trivial. % 11.66/11.87 (* end of lemma zenon_L88_ *) % 11.66/11.87 assert (zenon_L89_ : (((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))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H128 zenon_H8d zenon_H1d zenon_H9c zenon_Hb1 zenon_Haf zenon_H126 zenon_H121. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.66/11.87 apply (zenon_L35_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.66/11.87 exact (zenon_H9c zenon_H9b). % 11.66/11.87 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.66/11.87 apply (zenon_L42_); trivial. % 11.66/11.87 apply (zenon_L88_); trivial. % 11.66/11.87 (* end of lemma zenon_L89_ *) % 11.66/11.87 assert (zenon_L90_ : (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> False). % 11.66/11.87 do 0 intro. intros zenon_H70 zenon_H29 zenon_H65. % 11.66/11.87 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e2) (e0)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H70. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H29. % 11.66/11.87 cut (((e1) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12b]. % 11.66/11.87 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_H46. apply refl_equal. % 11.66/11.87 apply zenon_H12b. apply sym_equal. exact zenon_H65. % 11.66/11.87 (* end of lemma zenon_L90_ *) % 11.66/11.87 assert (zenon_L91_ : (((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))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> False). % 11.66/11.87 do 0 intro. intros zenon_H128 zenon_H8d zenon_H1d zenon_H9c zenon_Hb4 zenon_H85 zenon_Hb1 zenon_Hb8. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.66/11.87 apply (zenon_L35_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.66/11.87 exact (zenon_H9c zenon_H9b). % 11.66/11.87 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.66/11.87 apply (zenon_L63_); trivial. % 11.66/11.87 apply (zenon_L65_); trivial. % 11.66/11.87 (* end of lemma zenon_L91_ *) % 11.66/11.87 assert (zenon_L92_ : (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> False). % 11.66/11.87 do 0 intro. intros zenon_H43 zenon_H2a zenon_H12c. % 11.66/11.87 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e1)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H43. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H2a. % 11.66/11.87 cut (((e0) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H12d]. % 11.66/11.87 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_H46. apply refl_equal. % 11.66/11.87 apply zenon_H12d. apply sym_equal. exact zenon_H12c. % 11.66/11.87 (* end of lemma zenon_L92_ *) % 11.66/11.87 assert (zenon_L93_ : ((op (e3) (e1)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False). % 11.66/11.87 do 0 intro. intros zenon_Hb8 zenon_H44 zenon_H12e. % 11.66/11.87 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H122 | zenon_intro zenon_H123 ]. % 11.66/11.87 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e1) (e1)) = (op (e3) (e1)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H12e. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H122. % 11.66/11.87 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 11.66/11.87 cut (((op (e3) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e1) (e1)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H12f. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_Hb8. % 11.66/11.87 cut (((e1) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.66/11.87 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_H123. apply refl_equal. % 11.66/11.87 apply zenon_H45. apply sym_equal. exact zenon_H44. % 11.66/11.87 apply zenon_H123. apply refl_equal. % 11.66/11.87 apply zenon_H123. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L93_ *) % 11.66/11.87 assert (zenon_L94_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> False). % 11.66/11.87 do 0 intro. intros zenon_H130 zenon_H75 zenon_H99. % 11.66/11.87 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e1) (e1)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H130. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H75. % 11.66/11.87 cut (((e2) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H131]. % 11.66/11.87 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_H21. apply refl_equal. % 11.66/11.87 apply zenon_H131. apply sym_equal. exact zenon_H99. % 11.66/11.87 (* end of lemma zenon_L94_ *) % 11.66/11.87 assert (zenon_L95_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H132 zenon_H2a zenon_H43 zenon_H12e zenon_Hb8 zenon_H75 zenon_H130 zenon_H9c. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H12c | zenon_intro zenon_H133 ]. % 11.66/11.87 apply (zenon_L92_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H44 | zenon_intro zenon_H134 ]. % 11.66/11.87 apply (zenon_L93_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H99 | zenon_intro zenon_H9b ]. % 11.66/11.87 apply (zenon_L94_); trivial. % 11.66/11.87 exact (zenon_H9c zenon_H9b). % 11.66/11.87 (* end of lemma zenon_L95_ *) % 11.66/11.87 assert (zenon_L96_ : ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H2a zenon_H135 zenon_H8d. % 11.66/11.87 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 11.66/11.87 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H8d. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H8e. % 11.66/11.87 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.87 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e1) (e0)) = (e0)) = ((e3) = (e0))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H90. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H2a. % 11.66/11.87 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.66/11.87 cut (((op (e1) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H136]. % 11.66/11.87 congruence. % 11.66/11.87 exact (zenon_H136 zenon_H135). % 11.66/11.87 apply zenon_H3b. apply refl_equal. % 11.66/11.87 apply zenon_H8f. apply refl_equal. % 11.66/11.87 apply zenon_H8f. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L96_ *) % 11.66/11.87 assert (zenon_L97_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> False). % 11.66/11.87 do 0 intro. intros zenon_Hda zenon_H81 zenon_H87. % 11.66/11.87 cut (((op (e0) (e0)) = (e2)) = ((op (e0) (e0)) = (op (e3) (e0)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Hda. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H81. % 11.66/11.87 cut (((e2) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H137]. % 11.66/11.87 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H138]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_H138. apply refl_equal. % 11.66/11.87 apply zenon_H137. apply sym_equal. exact zenon_H87. % 11.66/11.87 (* end of lemma zenon_L97_ *) % 11.66/11.87 assert (zenon_L98_ : (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> False). % 11.66/11.87 do 0 intro. intros zenon_He1 zenon_H10c zenon_H114. % 11.66/11.87 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e3) (e2)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_He1. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H10c. % 11.66/11.87 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H139]. % 11.66/11.87 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10f]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_H10f. apply refl_equal. % 11.66/11.87 apply zenon_H139. apply sym_equal. exact zenon_H114. % 11.66/11.87 (* end of lemma zenon_L98_ *) % 11.66/11.87 assert (zenon_L99_ : (~((op (e1) (op (e1) (e1))) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> False). % 11.66/11.87 do 0 intro. intros zenon_H13a zenon_H99. % 11.66/11.87 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 11.66/11.87 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_H27. apply refl_equal. % 11.66/11.87 exact (zenon_H96 zenon_H99). % 11.66/11.87 (* end of lemma zenon_L99_ *) % 11.66/11.87 assert (zenon_L100_ : ((op (e1) (e2)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((e3) = (op (e1) (op (e1) (e1))))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H13b zenon_H99 zenon_H13c. % 11.66/11.87 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H9e | zenon_intro zenon_H9f ]. % 11.66/11.87 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e3) = (op (e1) (op (e1) (e1))))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H13c. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H9e. % 11.66/11.87 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H9f]. % 11.66/11.87 cut (((op (e1) (op (e1) (e1))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H13d]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e1) (e2)) = (e3)) = ((op (e1) (op (e1) (e1))) = (e3))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H13d. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H13b. % 11.66/11.87 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.87 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H13e]. % 11.66/11.87 congruence. % 11.66/11.87 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H9e | zenon_intro zenon_H9f ]. % 11.66/11.87 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e1))))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H13e. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H9e. % 11.66/11.87 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H9f]. % 11.66/11.87 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H13a]. % 11.66/11.87 congruence. % 11.66/11.87 apply (zenon_L99_); trivial. % 11.66/11.87 apply zenon_H9f. apply refl_equal. % 11.66/11.87 apply zenon_H9f. apply refl_equal. % 11.66/11.87 apply zenon_H8f. apply refl_equal. % 11.66/11.87 apply zenon_H9f. apply refl_equal. % 11.66/11.87 apply zenon_H9f. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L100_ *) % 11.66/11.87 assert (zenon_L101_ : ((op (e3) (e2)) = (e0)) -> ((op (e1) (e2)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> False). % 11.66/11.87 do 0 intro. intros zenon_H13f zenon_H13b zenon_H99. % 11.66/11.87 apply (zenon_notand_s _ _ ax7); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 11.66/11.87 elim (classic ((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha6 ]. % 11.66/11.87 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) = ((e0) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Ha4. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_Ha5. % 11.66/11.87 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 11.66/11.87 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e3) (e2)) = (e0)) = ((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (e0))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Ha7. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H13f. % 11.66/11.87 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.66/11.87 cut (((op (e3) (e2)) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H141]. % 11.66/11.87 congruence. % 11.66/11.87 elim (classic ((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha6 ]. % 11.66/11.87 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1)))) = ((op (e3) (e2)) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H141. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_Ha5. % 11.66/11.87 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (op (e1) (op (e1) (e1))) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 11.66/11.87 cut (((op (op (e1) (op (e1) (e1))) (op (e1) (e1))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H142]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 11.66/11.87 cut (((op (e1) (op (e1) (e1))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H13d]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e1) (e2)) = (e3)) = ((op (e1) (op (e1) (e1))) = (e3))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H13d. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H13b. % 11.66/11.87 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.87 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H13e]. % 11.66/11.87 congruence. % 11.66/11.87 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H9e | zenon_intro zenon_H9f ]. % 11.66/11.87 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e1))))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H13e. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H9e. % 11.66/11.87 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H9f]. % 11.66/11.87 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H13a]. % 11.66/11.87 congruence. % 11.66/11.87 apply (zenon_L99_); trivial. % 11.66/11.87 apply zenon_H9f. apply refl_equal. % 11.66/11.87 apply zenon_H9f. apply refl_equal. % 11.66/11.87 apply zenon_H8f. apply refl_equal. % 11.66/11.87 exact (zenon_H96 zenon_H99). % 11.66/11.87 apply zenon_Ha6. apply refl_equal. % 11.66/11.87 apply zenon_Ha6. apply refl_equal. % 11.66/11.87 apply zenon_H3b. apply refl_equal. % 11.66/11.87 apply zenon_Ha6. apply refl_equal. % 11.66/11.87 apply zenon_Ha6. apply refl_equal. % 11.66/11.87 apply (zenon_notand_s _ _ zenon_H140); [ zenon_intro zenon_H13c | zenon_intro zenon_H131 ]. % 11.66/11.87 apply (zenon_L100_); trivial. % 11.66/11.87 apply zenon_H131. apply sym_equal. exact zenon_H99. % 11.66/11.87 (* end of lemma zenon_L101_ *) % 11.66/11.87 assert (zenon_L102_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e2)) -> False). % 11.66/11.87 do 0 intro. intros zenon_H143 zenon_H144. % 11.66/11.87 cut (((op (e3) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H145]. % 11.66/11.87 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_H8f. apply refl_equal. % 11.66/11.87 exact (zenon_H145 zenon_H144). % 11.66/11.87 (* end of lemma zenon_L102_ *) % 11.66/11.87 assert (zenon_L103_ : ((op (e3) (e2)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((e1) = (op (e3) (op (e3) (e3))))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H146 zenon_H144 zenon_H147. % 11.66/11.87 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H148 | zenon_intro zenon_H149 ]. % 11.66/11.87 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e1) = (op (e3) (op (e3) (e3))))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H147. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H148. % 11.66/11.87 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 11.66/11.87 cut (((op (e3) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H14a]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e3) (e2)) = (e1)) = ((op (e3) (op (e3) (e3))) = (e1))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H14a. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H146. % 11.66/11.87 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.87 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H14b]. % 11.66/11.87 congruence. % 11.66/11.87 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H148 | zenon_intro zenon_H149 ]. % 11.66/11.87 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e3))))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H14b. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H148. % 11.66/11.87 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 11.66/11.87 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H143]. % 11.66/11.87 congruence. % 11.66/11.87 apply (zenon_L102_); trivial. % 11.66/11.87 apply zenon_H149. apply refl_equal. % 11.66/11.87 apply zenon_H149. apply refl_equal. % 11.66/11.87 apply zenon_H27. apply refl_equal. % 11.66/11.87 apply zenon_H149. apply refl_equal. % 11.66/11.87 apply zenon_H149. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L103_ *) % 11.66/11.87 assert (zenon_L104_ : ((op (e1) (e2)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> False). % 11.66/11.87 do 0 intro. intros zenon_H14c zenon_H146 zenon_H144. % 11.66/11.87 apply (zenon_notand_s _ _ ax10); [ zenon_intro zenon_H14e | zenon_intro zenon_H14d ]. % 11.66/11.87 elim (classic ((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [ zenon_intro zenon_H14f | zenon_intro zenon_H150 ]. % 11.66/11.87 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) = ((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H14e. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H14f. % 11.66/11.87 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H150]. % 11.66/11.87 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H151]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e1) (e2)) = (e0)) = ((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (e0))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H151. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H14c. % 11.66/11.87 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.66/11.87 cut (((op (e1) (e2)) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H152]. % 11.66/11.87 congruence. % 11.66/11.87 elim (classic ((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [ zenon_intro zenon_H14f | zenon_intro zenon_H150 ]. % 11.66/11.87 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) = ((op (e1) (e2)) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H152. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H14f. % 11.66/11.87 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H150]. % 11.66/11.87 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e3) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H145]. % 11.66/11.87 cut (((op (e3) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H14a]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e3) (e2)) = (e1)) = ((op (e3) (op (e3) (e3))) = (e1))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H14a. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H146. % 11.66/11.87 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.87 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H14b]. % 11.66/11.87 congruence. % 11.66/11.87 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H148 | zenon_intro zenon_H149 ]. % 11.66/11.87 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e3))))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H14b. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H148. % 11.66/11.87 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 11.66/11.87 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H143]. % 11.66/11.87 congruence. % 11.66/11.87 apply (zenon_L102_); trivial. % 11.66/11.87 apply zenon_H149. apply refl_equal. % 11.66/11.87 apply zenon_H149. apply refl_equal. % 11.66/11.87 apply zenon_H27. apply refl_equal. % 11.66/11.87 exact (zenon_H145 zenon_H144). % 11.66/11.87 apply zenon_H150. apply refl_equal. % 11.66/11.87 apply zenon_H150. apply refl_equal. % 11.66/11.87 apply zenon_H3b. apply refl_equal. % 11.66/11.87 apply zenon_H150. apply refl_equal. % 11.66/11.87 apply zenon_H150. apply refl_equal. % 11.66/11.87 apply (zenon_notand_s _ _ zenon_H14d); [ zenon_intro zenon_H147 | zenon_intro zenon_H154 ]. % 11.66/11.87 apply (zenon_L103_); trivial. % 11.66/11.87 apply zenon_H154. apply sym_equal. exact zenon_H144. % 11.66/11.87 (* end of lemma zenon_L104_ *) % 11.66/11.87 assert (zenon_L105_ : ((op (e3) (e2)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.66/11.87 do 0 intro. intros zenon_Hdf zenon_Hd9 zenon_H155. % 11.66/11.87 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_He2 | zenon_intro zenon_He3 ]. % 11.66/11.87 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (e0)) = (op (e3) (e2)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H155. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_He2. % 11.66/11.87 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 11.66/11.87 cut (((op (e3) (e2)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H156]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e3) (e0)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H156. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_Hdf. % 11.66/11.87 cut (((e3) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H125]. % 11.66/11.87 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_He3. apply refl_equal. % 11.66/11.87 apply zenon_H125. apply sym_equal. exact zenon_Hd9. % 11.66/11.87 apply zenon_He3. apply refl_equal. % 11.66/11.87 apply zenon_He3. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L105_ *) % 11.66/11.87 assert (zenon_L106_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H126 zenon_Hdf zenon_H155. % 11.66/11.87 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hd9. zenon_intro zenon_H127. % 11.66/11.87 apply (zenon_L105_); trivial. % 11.66/11.87 (* end of lemma zenon_L106_ *) % 11.66/11.87 assert (zenon_L107_ : (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e1)) -> False). % 11.66/11.87 do 0 intro. intros zenon_H5f zenon_H117 zenon_He8. % 11.66/11.87 cut (((op (e2) (e3)) = (e2)) = ((e1) = (e2))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H5f. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H117. % 11.66/11.87 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.87 cut (((op (e2) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H107]. % 11.66/11.87 congruence. % 11.66/11.87 exact (zenon_H107 zenon_He8). % 11.66/11.87 apply zenon_H58. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L107_ *) % 11.66/11.87 assert (zenon_L108_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> ((op (e1) (e2)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (~((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))))) -> (~((e1) = (e2))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H157 zenon_H28 zenon_H5b zenon_Hb1 zenon_H5d zenon_Hd4 zenon_H158 zenon_Hc7 zenon_Hb4 zenon_Hb0 zenon_H155 zenon_H126 zenon_He1 zenon_H14c zenon_H13b zenon_H99 zenon_H159 zenon_Hb8 zenon_Hda zenon_H81 zenon_H15a zenon_H5f. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.66/11.87 apply (zenon_L60_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.66/11.87 apply (zenon_L42_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.66/11.87 apply (zenon_L61_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H5a | zenon_intro zenon_H15d ]. % 11.66/11.87 apply (zenon_L54_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H85 | zenon_intro zenon_H15e ]. % 11.66/11.87 apply (zenon_L63_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ]. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.66/11.87 apply (zenon_L97_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.66/11.87 apply (zenon_L45_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.66/11.87 apply (zenon_L98_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13f | zenon_intro zenon_H161 ]. % 11.66/11.87 apply (zenon_L101_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H146 | zenon_intro zenon_H162 ]. % 11.66/11.87 apply (zenon_L104_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H114 | zenon_intro zenon_Hdf ]. % 11.66/11.87 apply (zenon_L98_); trivial. % 11.66/11.87 apply (zenon_L106_); trivial. % 11.66/11.87 apply (zenon_L107_); trivial. % 11.66/11.87 (* end of lemma zenon_L108_ *) % 11.66/11.87 assert (zenon_L109_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> False). % 11.66/11.87 do 0 intro. intros zenon_H163 zenon_H5b zenon_H164. % 11.66/11.87 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e2)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H163. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H5b. % 11.66/11.87 cut (((e0) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 11.66/11.87 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_H72. apply refl_equal. % 11.66/11.87 apply zenon_H165. apply sym_equal. exact zenon_H164. % 11.66/11.87 (* end of lemma zenon_L109_ *) % 11.66/11.87 assert (zenon_L110_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e1) (e2)) = (e3)) -> ((op (e3) (e2)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H132 zenon_H2a zenon_H43 zenon_H12e zenon_Hb8 zenon_H13b zenon_H13f zenon_H9c. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H12c | zenon_intro zenon_H133 ]. % 11.66/11.87 apply (zenon_L92_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H44 | zenon_intro zenon_H134 ]. % 11.66/11.87 apply (zenon_L93_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H99 | zenon_intro zenon_H9b ]. % 11.66/11.87 apply (zenon_L101_); trivial. % 11.66/11.87 exact (zenon_H9c zenon_H9b). % 11.66/11.87 (* end of lemma zenon_L110_ *) % 11.66/11.87 assert (zenon_L111_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> False). % 11.66/11.87 do 0 intro. intros zenon_Hf7 zenon_Hc0 zenon_Hfa. % 11.66/11.87 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e1) (e3)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Hf7. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_Hc0. % 11.66/11.87 cut (((e3) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 11.66/11.87 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_H36. apply refl_equal. % 11.66/11.87 apply zenon_Hff. apply sym_equal. exact zenon_Hfa. % 11.66/11.87 (* end of lemma zenon_L111_ *) % 11.66/11.87 assert (zenon_L112_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((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))))) -> (~((e1) = (e2))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H166 zenon_H2e zenon_H29 zenon_H121 zenon_Hb9 zenon_H130 zenon_Hc0 zenon_Hf7 zenon_H12e zenon_H43 zenon_H2a zenon_H132 zenon_H163 zenon_H5b zenon_H157 zenon_H28 zenon_H5d zenon_Hd4 zenon_H158 zenon_Hc7 zenon_H155 zenon_H126 zenon_He1 zenon_H159 zenon_Hda zenon_H81 zenon_H15a zenon_H167 zenon_H168 zenon_Hb1 zenon_Hb4 zenon_H9c zenon_H1d zenon_H8d zenon_H128 zenon_H5f. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.66/11.87 apply (zenon_L58_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.66/11.87 apply (zenon_L13_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.66/11.87 apply (zenon_L89_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.66/11.87 apply (zenon_L95_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.66/11.87 apply (zenon_L96_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.66/11.87 exact (zenon_H9c zenon_H9b). % 11.66/11.87 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.66/11.87 apply (zenon_L35_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.66/11.87 exact (zenon_H9c zenon_H9b). % 11.66/11.87 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.66/11.87 apply (zenon_L53_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.66/11.87 apply (zenon_L108_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.66/11.87 apply (zenon_L109_); trivial. % 11.66/11.87 apply (zenon_L110_); trivial. % 11.66/11.87 apply (zenon_L65_); trivial. % 11.66/11.87 apply (zenon_L111_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.66/11.87 apply (zenon_L91_); trivial. % 11.66/11.87 apply (zenon_L45_); trivial. % 11.66/11.87 (* end of lemma zenon_L112_ *) % 11.66/11.87 assert (zenon_L113_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e2)) = (e2)) -> False). % 11.66/11.87 do 0 intro. intros zenon_H163 zenon_H5a zenon_H10c. % 11.66/11.87 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e2) (e2)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H163. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H5a. % 11.66/11.87 cut (((e2) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 11.66/11.87 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_H72. apply refl_equal. % 11.66/11.87 apply zenon_H16f. apply sym_equal. exact zenon_H10c. % 11.66/11.87 (* end of lemma zenon_L113_ *) % 11.66/11.87 assert (zenon_L114_ : ((op (e3) (e0)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False). % 11.66/11.87 do 0 intro. intros zenon_Hd9 zenon_Hd7 zenon_H170. % 11.66/11.87 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hae ]. % 11.66/11.87 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e2) (e0)) = (op (e3) (e0)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H170. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_Hdb. % 11.66/11.87 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.66/11.87 cut (((op (e3) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H171]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e2) (e0)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H171. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_Hd9. % 11.66/11.87 cut (((e3) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H172]. % 11.66/11.87 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_Hae. apply refl_equal. % 11.66/11.87 apply zenon_H172. apply sym_equal. exact zenon_Hd7. % 11.66/11.87 apply zenon_Hae. apply refl_equal. % 11.66/11.87 apply zenon_Hae. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L114_ *) % 11.66/11.87 assert (zenon_L115_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H63 zenon_Hc0 zenon_Hb1. % 11.66/11.87 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 11.66/11.87 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Hb1. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H8e. % 11.66/11.87 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.87 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb2]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e0) (e3)) = (e1)) = ((e3) = (e1))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Hb2. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H63. % 11.66/11.87 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.87 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hc2]. % 11.66/11.87 congruence. % 11.66/11.87 exact (zenon_Hc2 zenon_Hc0). % 11.66/11.87 apply zenon_H27. apply refl_equal. % 11.66/11.87 apply zenon_H8f. apply refl_equal. % 11.66/11.87 apply zenon_H8f. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L115_ *) % 11.66/11.87 assert (zenon_L116_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (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) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.66/11.87 do 0 intro. intros zenon_Hca zenon_H108 zenon_Hb4 zenon_H5f zenon_H1d zenon_H59 zenon_H173 zenon_H128 zenon_H8d zenon_H9c zenon_H168 zenon_H167 zenon_H15a zenon_Hda zenon_H159 zenon_He1 zenon_H155 zenon_Hc7 zenon_H158 zenon_Hd4 zenon_H28 zenon_H157 zenon_H132 zenon_H2a zenon_H43 zenon_H12e zenon_Hf7 zenon_H130 zenon_Hb9 zenon_H2e zenon_H166 zenon_H29 zenon_H70 zenon_H163 zenon_Hd9 zenon_H170 zenon_H126 zenon_H121 zenon_H7e zenon_Hc0 zenon_Hb1. % 11.66/11.87 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.66/11.87 apply (zenon_L77_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.66/11.87 apply (zenon_L11_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.66/11.87 apply (zenon_L58_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.66/11.87 apply (zenon_L13_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.66/11.87 apply (zenon_L89_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.66/11.87 apply (zenon_L35_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.66/11.87 exact (zenon_H9c zenon_H9b). % 11.66/11.87 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.66/11.87 apply (zenon_L90_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.66/11.87 apply (zenon_L42_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.66/11.87 apply (zenon_L61_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H5a | zenon_intro zenon_H15d ]. % 11.66/11.87 apply (zenon_L54_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H85 | zenon_intro zenon_H15e ]. % 11.66/11.87 apply (zenon_L91_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ]. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H5b | zenon_intro zenon_H174 ]. % 11.66/11.87 apply (zenon_L112_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H65 | zenon_intro zenon_H175 ]. % 11.66/11.87 apply (zenon_L90_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd7 ]. % 11.66/11.87 apply (zenon_L113_); trivial. % 11.66/11.87 apply (zenon_L114_); trivial. % 11.66/11.87 apply (zenon_L107_); trivial. % 11.66/11.87 apply (zenon_L88_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.66/11.87 apply (zenon_L27_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.66/11.87 apply (zenon_L21_); trivial. % 11.66/11.87 apply (zenon_L51_); trivial. % 11.66/11.87 apply (zenon_L115_); trivial. % 11.66/11.87 (* end of lemma zenon_L116_ *) % 11.66/11.87 assert (zenon_L117_ : (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> False). % 11.66/11.87 do 0 intro. intros zenon_Hb1 zenon_Hd9 zenon_H68. % 11.66/11.87 cut (((op (e3) (e0)) = (e3)) = ((e1) = (e3))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Hb1. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_Hd9. % 11.66/11.87 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.87 cut (((op (e3) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H69]. % 11.66/11.87 congruence. % 11.66/11.87 exact (zenon_H69 zenon_H68). % 11.66/11.87 apply zenon_H8f. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L117_ *) % 11.66/11.87 assert (zenon_L118_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.66/11.87 do 0 intro. intros zenon_H6a zenon_H6b zenon_H44 zenon_H43 zenon_H28 zenon_H5b zenon_Hb1 zenon_Hd9. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.66/11.87 exact (zenon_H6b zenon_H6d). % 11.66/11.87 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.66/11.87 apply (zenon_L13_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.66/11.87 apply (zenon_L60_); trivial. % 11.66/11.87 apply (zenon_L117_); trivial. % 11.66/11.87 (* end of lemma zenon_L118_ *) % 11.66/11.87 assert (zenon_L119_ : ((op (e3) (e0)) = (e3)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False). % 11.66/11.87 do 0 intro. intros zenon_Hd9 zenon_H135 zenon_H176. % 11.66/11.87 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hae ]. % 11.66/11.87 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e1) (e0)) = (op (e3) (e0)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H176. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_Hdb. % 11.66/11.87 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.66/11.87 cut (((op (e3) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H177]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e1) (e0)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H177. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_Hd9. % 11.66/11.87 cut (((e3) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H178]. % 11.66/11.87 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_Hae. apply refl_equal. % 11.66/11.87 apply zenon_H178. apply sym_equal. exact zenon_H135. % 11.66/11.87 apply zenon_Hae. apply refl_equal. % 11.66/11.87 apply zenon_Hae. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L119_ *) % 11.66/11.87 assert (zenon_L120_ : (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e0)) -> False). % 11.66/11.87 do 0 intro. intros zenon_H8d zenon_Hd9 zenon_H67. % 11.66/11.87 cut (((op (e3) (e0)) = (e3)) = ((e0) = (e3))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H8d. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_Hd9. % 11.66/11.87 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.87 cut (((op (e3) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 11.66/11.87 congruence. % 11.66/11.87 exact (zenon_H179 zenon_H67). % 11.66/11.87 apply zenon_H8f. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L120_ *) % 11.66/11.87 assert (zenon_L121_ : ((op (e3) (e1)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False). % 11.66/11.87 do 0 intro. intros zenon_Hb5 zenon_H8c zenon_H17a. % 11.66/11.87 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H122 | zenon_intro zenon_H123 ]. % 11.66/11.87 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e0) (e1)) = (op (e3) (e1)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H17a. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H122. % 11.66/11.87 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 11.66/11.87 cut (((op (e3) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H17b]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e0) (e1)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H17b. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_Hb5. % 11.66/11.87 cut (((e3) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H17c]. % 11.66/11.87 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_H123. apply refl_equal. % 11.66/11.87 apply zenon_H17c. apply sym_equal. exact zenon_H8c. % 11.66/11.87 apply zenon_H123. apply refl_equal. % 11.66/11.87 apply zenon_H123. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L121_ *) % 11.66/11.87 assert (zenon_L122_ : ((op (e0) (e2)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H5e zenon_Hbe zenon_Hb4. % 11.66/11.87 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 11.66/11.87 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Hb4. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H8e. % 11.66/11.87 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.87 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hc1]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e0) (e2)) = (e2)) = ((e3) = (e2))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Hc1. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H5e. % 11.66/11.87 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.87 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hbf]. % 11.66/11.87 congruence. % 11.66/11.87 exact (zenon_Hbf zenon_Hbe). % 11.66/11.87 apply zenon_H58. apply refl_equal. % 11.66/11.87 apply zenon_H8f. apply refl_equal. % 11.66/11.87 apply zenon_H8f. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L122_ *) % 11.66/11.87 assert (zenon_L123_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False). % 11.66/11.87 do 0 intro. intros zenon_Hc3 zenon_Hbd zenon_H17a zenon_Hb5 zenon_Hb4 zenon_H5e zenon_Hf7 zenon_Hfa. % 11.66/11.87 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.66/11.87 exact (zenon_Hbd zenon_Hbc). % 11.66/11.87 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.66/11.87 apply (zenon_L121_); trivial. % 11.66/11.87 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.66/11.87 apply (zenon_L122_); trivial. % 11.66/11.87 apply (zenon_L111_); trivial. % 11.66/11.87 (* end of lemma zenon_L123_ *) % 11.66/11.87 assert (zenon_L124_ : ((op (e2) (e0)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H5a zenon_Hd7 zenon_Hb4. % 11.66/11.87 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 11.66/11.87 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Hb4. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H8e. % 11.66/11.87 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.87 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hc1]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e2) (e0)) = (e2)) = ((e3) = (e2))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Hc1. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H5a. % 11.66/11.87 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.87 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 11.66/11.87 congruence. % 11.66/11.87 exact (zenon_Hd8 zenon_Hd7). % 11.66/11.87 apply zenon_H58. apply refl_equal. % 11.66/11.87 apply zenon_H8f. apply refl_equal. % 11.66/11.87 apply zenon_H8f. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L124_ *) % 11.66/11.87 assert (zenon_L125_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H17d zenon_Hd9 zenon_H121. % 11.66/11.87 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_Hb5. zenon_intro zenon_H17e. % 11.66/11.87 apply (zenon_L87_); trivial. % 11.66/11.87 (* end of lemma zenon_L125_ *) % 11.66/11.87 assert (zenon_L126_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H29 zenon_H135 zenon_Hb1. % 11.66/11.87 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 11.66/11.87 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Hb1. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H8e. % 11.66/11.87 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.87 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb2]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e1) (e0)) = (e1)) = ((e3) = (e1))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_Hb2. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H29. % 11.66/11.87 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.87 cut (((op (e1) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H136]. % 11.66/11.87 congruence. % 11.66/11.87 exact (zenon_H136 zenon_H135). % 11.66/11.87 apply zenon_H27. apply refl_equal. % 11.66/11.87 apply zenon_H8f. apply refl_equal. % 11.66/11.87 apply zenon_H8f. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L126_ *) % 11.66/11.87 assert (zenon_L127_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H3c zenon_H6d zenon_H1f. % 11.66/11.87 elim (classic ((op (e0) (e1)) = (op (e0) (e1)))); [ zenon_intro zenon_H20 | zenon_intro zenon_H21 ]. % 11.66/11.87 cut (((op (e0) (e1)) = (op (e0) (e1))) = ((op (e0) (e0)) = (op (e0) (e1)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H1f. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H20. % 11.66/11.87 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 11.66/11.87 cut (((op (e0) (e1)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e0) (e0)))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H22. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H3c. % 11.66/11.87 cut (((e1) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 11.66/11.87 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 11.66/11.87 congruence. % 11.66/11.87 apply zenon_H21. apply refl_equal. % 11.66/11.87 apply zenon_H10b. apply sym_equal. exact zenon_H6d. % 11.66/11.87 apply zenon_H21. apply refl_equal. % 11.66/11.87 apply zenon_H21. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L127_ *) % 11.66/11.87 assert (zenon_L128_ : ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.66/11.87 do 0 intro. intros zenon_H2a zenon_H6f zenon_H59. % 11.66/11.87 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H58 ]. % 11.66/11.87 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H59. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H60. % 11.66/11.87 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.87 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 11.66/11.87 congruence. % 11.66/11.87 cut (((op (e1) (e0)) = (e0)) = ((e2) = (e0))). % 11.66/11.87 intro zenon_D_pnotp. % 11.66/11.87 apply zenon_H76. % 11.66/11.87 rewrite <- zenon_D_pnotp. % 11.66/11.87 exact zenon_H2a. % 11.66/11.87 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.66/11.87 cut (((op (e1) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H83]. % 11.66/11.87 congruence. % 11.66/11.87 exact (zenon_H83 zenon_H6f). % 11.66/11.87 apply zenon_H3b. apply refl_equal. % 11.66/11.87 apply zenon_H58. apply refl_equal. % 11.66/11.87 apply zenon_H58. apply refl_equal. % 11.66/11.87 (* end of lemma zenon_L128_ *) % 11.66/11.87 assert (zenon_L129_ : (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> False). % 11.66/11.87 do 0 intro. intros zenon_H170 zenon_H5a zenon_H87. % 11.66/11.88 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e3) (e0)))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H170. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_H5a. % 11.66/11.88 cut (((e2) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H137]. % 11.66/11.88 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 11.66/11.88 congruence. % 11.66/11.88 apply zenon_H72. apply refl_equal. % 11.66/11.88 apply zenon_H137. apply sym_equal. exact zenon_H87. % 11.66/11.88 (* end of lemma zenon_L129_ *) % 11.66/11.88 assert (zenon_L130_ : ((op (e2) (e1)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> False). % 11.66/11.88 do 0 intro. intros zenon_H85 zenon_H99 zenon_H17f. % 11.66/11.88 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_Hce | zenon_intro zenon_Hcf ]. % 11.66/11.88 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e1) (e1)) = (op (e2) (e1)))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H17f. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_Hce. % 11.66/11.88 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 11.66/11.88 cut (((op (e2) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H180]. % 11.66/11.88 congruence. % 11.66/11.88 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e1) (e1)))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H180. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_H85. % 11.66/11.88 cut (((e2) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H131]. % 11.66/11.88 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 11.66/11.88 congruence. % 11.66/11.88 apply zenon_Hcf. apply refl_equal. % 11.66/11.88 apply zenon_H131. apply sym_equal. exact zenon_H99. % 11.66/11.88 apply zenon_Hcf. apply refl_equal. % 11.66/11.88 apply zenon_Hcf. apply refl_equal. % 11.66/11.88 (* end of lemma zenon_L130_ *) % 11.66/11.88 assert (zenon_L131_ : (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H4a zenon_H2a zenon_H14c. % 11.66/11.88 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e2)))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H4a. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_H2a. % 11.66/11.88 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H181]. % 11.66/11.88 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 11.66/11.88 congruence. % 11.66/11.88 apply zenon_H46. apply refl_equal. % 11.66/11.88 apply zenon_H181. apply sym_equal. exact zenon_H14c. % 11.66/11.88 (* end of lemma zenon_L131_ *) % 11.66/11.88 assert (zenon_L132_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H78 zenon_Hbe zenon_H13b. % 11.66/11.88 cut (((op (e0) (e2)) = (e3)) = ((op (e0) (e2)) = (op (e1) (e2)))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H78. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_Hbe. % 11.66/11.88 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H182]. % 11.66/11.88 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 11.66/11.88 congruence. % 11.66/11.88 apply zenon_H7b. apply refl_equal. % 11.66/11.88 apply zenon_H182. apply sym_equal. exact zenon_H13b. % 11.66/11.88 (* end of lemma zenon_L132_ *) % 11.66/11.88 assert (zenon_L133_ : (((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) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H183 zenon_H2a zenon_H4a zenon_H29 zenon_H10d zenon_H10c zenon_H78 zenon_Hbe. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H14c | zenon_intro zenon_H184 ]. % 11.66/11.88 apply (zenon_L131_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H49 | zenon_intro zenon_H185 ]. % 11.66/11.88 apply (zenon_L15_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H79 | zenon_intro zenon_H13b ]. % 11.66/11.88 apply (zenon_L78_); trivial. % 11.66/11.88 apply (zenon_L132_); trivial. % 11.66/11.88 (* end of lemma zenon_L133_ *) % 11.66/11.88 assert (zenon_L134_ : ((op (e2) (e3)) = (e2)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.66/11.88 do 0 intro. intros zenon_H117 zenon_H7c zenon_H186. % 11.66/11.88 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H118 | zenon_intro zenon_H119 ]. % 11.66/11.88 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e0) (e3)) = (op (e2) (e3)))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H186. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_H118. % 11.66/11.88 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 11.66/11.88 cut (((op (e2) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H187]. % 11.66/11.88 congruence. % 11.66/11.88 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e0) (e3)))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H187. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_H117. % 11.66/11.88 cut (((e2) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H188]. % 11.66/11.88 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 11.66/11.88 congruence. % 11.66/11.88 apply zenon_H119. apply refl_equal. % 11.66/11.88 apply zenon_H188. apply sym_equal. exact zenon_H7c. % 11.66/11.88 apply zenon_H119. apply refl_equal. % 11.66/11.88 apply zenon_H119. apply refl_equal. % 11.66/11.88 (* end of lemma zenon_L134_ *) % 11.66/11.88 assert (zenon_L135_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False). % 11.66/11.88 do 0 intro. intros zenon_Hc3 zenon_Hbd zenon_H17a zenon_Hb5 zenon_Hb1 zenon_H5d zenon_Hf7 zenon_Hfa. % 11.66/11.88 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.66/11.88 exact (zenon_Hbd zenon_Hbc). % 11.66/11.88 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.66/11.88 apply (zenon_L121_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.66/11.88 apply (zenon_L76_); trivial. % 11.66/11.88 apply (zenon_L111_); trivial. % 11.66/11.88 (* end of lemma zenon_L135_ *) % 11.66/11.88 assert (zenon_L136_ : (~((e0) = (e1))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e1)) = (e0)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H28 zenon_Haf zenon_H189. % 11.66/11.88 cut (((op (e2) (e1)) = (e1)) = ((e0) = (e1))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H28. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_Haf. % 11.66/11.88 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.88 cut (((op (e2) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H18a]. % 11.66/11.88 congruence. % 11.66/11.88 exact (zenon_H18a zenon_H189). % 11.66/11.88 apply zenon_H27. apply refl_equal. % 11.66/11.88 (* end of lemma zenon_L136_ *) % 11.66/11.88 assert (zenon_L137_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e0)))) -> ((op (e2) (e2)) = (e0)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H18b zenon_H164. % 11.66/11.88 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H18c]. % 11.66/11.88 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.88 congruence. % 11.66/11.88 apply zenon_H58. apply refl_equal. % 11.66/11.88 exact (zenon_H18c zenon_H164). % 11.66/11.88 (* end of lemma zenon_L137_ *) % 11.66/11.88 assert (zenon_L138_ : ((op (e2) (e0)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> (~((e3) = (op (e2) (op (e2) (e2))))) -> False). % 11.66/11.88 do 0 intro. intros zenon_Hd7 zenon_H164 zenon_H18d. % 11.66/11.88 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Hea | zenon_intro zenon_Heb ]. % 11.66/11.88 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e3) = (op (e2) (op (e2) (e2))))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H18d. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_Hea. % 11.66/11.88 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 11.66/11.88 cut (((op (e2) (op (e2) (e2))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H18e]. % 11.66/11.88 congruence. % 11.66/11.88 cut (((op (e2) (e0)) = (e3)) = ((op (e2) (op (e2) (e2))) = (e3))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H18e. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_Hd7. % 11.66/11.88 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.88 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H18f]. % 11.66/11.88 congruence. % 11.66/11.88 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Hea | zenon_intro zenon_Heb ]. % 11.66/11.88 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e2))))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H18f. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_Hea. % 11.66/11.88 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 11.66/11.88 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 11.66/11.88 congruence. % 11.66/11.88 apply (zenon_L137_); trivial. % 11.66/11.88 apply zenon_Heb. apply refl_equal. % 11.66/11.88 apply zenon_Heb. apply refl_equal. % 11.66/11.88 apply zenon_H8f. apply refl_equal. % 11.66/11.88 apply zenon_Heb. apply refl_equal. % 11.66/11.88 apply zenon_Heb. apply refl_equal. % 11.66/11.88 (* end of lemma zenon_L138_ *) % 11.66/11.88 assert (zenon_L139_ : ((op (e3) (e0)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H68 zenon_Hd7 zenon_H164. % 11.66/11.88 apply (zenon_notand_s _ _ ax15); [ zenon_intro zenon_H191 | zenon_intro zenon_H190 ]. % 11.66/11.88 elim (classic ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf1 ]. % 11.66/11.88 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) = ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H191. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_Hf0. % 11.66/11.88 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 11.66/11.88 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H192]. % 11.66/11.88 congruence. % 11.66/11.88 cut (((op (e3) (e0)) = (e1)) = ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (e1))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H192. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_H68. % 11.66/11.88 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.66/11.88 cut (((op (e3) (e0)) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H193]. % 11.66/11.88 congruence. % 11.66/11.88 elim (classic ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf1 ]. % 11.66/11.88 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) = ((op (e3) (e0)) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H193. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_Hf0. % 11.66/11.88 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 11.66/11.88 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H194]. % 11.66/11.88 congruence. % 11.66/11.88 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H18c]. % 11.66/11.88 cut (((op (e2) (op (e2) (e2))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H18e]. % 11.66/11.88 congruence. % 11.66/11.88 cut (((op (e2) (e0)) = (e3)) = ((op (e2) (op (e2) (e2))) = (e3))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H18e. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_Hd7. % 11.66/11.88 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.88 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H18f]. % 11.66/11.88 congruence. % 11.66/11.88 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Hea | zenon_intro zenon_Heb ]. % 11.66/11.88 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e2))))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H18f. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_Hea. % 11.66/11.88 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 11.66/11.88 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 11.66/11.88 congruence. % 11.66/11.88 apply (zenon_L137_); trivial. % 11.66/11.88 apply zenon_Heb. apply refl_equal. % 11.66/11.88 apply zenon_Heb. apply refl_equal. % 11.66/11.88 apply zenon_H8f. apply refl_equal. % 11.66/11.88 exact (zenon_H18c zenon_H164). % 11.66/11.88 apply zenon_Hf1. apply refl_equal. % 11.66/11.88 apply zenon_Hf1. apply refl_equal. % 11.66/11.88 apply zenon_H27. apply refl_equal. % 11.66/11.88 apply zenon_Hf1. apply refl_equal. % 11.66/11.88 apply zenon_Hf1. apply refl_equal. % 11.66/11.88 apply (zenon_notand_s _ _ zenon_H190); [ zenon_intro zenon_H18d | zenon_intro zenon_H165 ]. % 11.66/11.88 apply (zenon_L138_); trivial. % 11.66/11.88 apply zenon_H165. apply sym_equal. exact zenon_H164. % 11.66/11.88 (* end of lemma zenon_L139_ *) % 11.66/11.88 assert (zenon_L140_ : (~((e1) = (e2))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e2)) = (e1)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H5f zenon_H114 zenon_H146. % 11.66/11.88 cut (((op (e3) (e2)) = (e2)) = ((e1) = (e2))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H5f. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_H114. % 11.66/11.88 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.88 cut (((op (e3) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H195]. % 11.66/11.88 congruence. % 11.66/11.88 exact (zenon_H195 zenon_H146). % 11.66/11.88 apply zenon_H58. apply refl_equal. % 11.66/11.88 (* end of lemma zenon_L140_ *) % 11.66/11.88 assert (zenon_L141_ : (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H196 zenon_H117 zenon_H144. % 11.66/11.88 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e3) (e3)))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H196. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_H117. % 11.66/11.88 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H154]. % 11.66/11.88 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 11.66/11.88 congruence. % 11.66/11.88 apply zenon_H119. apply refl_equal. % 11.66/11.88 apply zenon_H154. apply sym_equal. exact zenon_H144. % 11.66/11.88 (* end of lemma zenon_L141_ *) % 11.66/11.88 assert (zenon_L142_ : (((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) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H15a zenon_H81 zenon_Hda zenon_Hb5 zenon_Hb4 zenon_H146 zenon_H5f zenon_H196 zenon_H117. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.66/11.88 apply (zenon_L97_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.66/11.88 apply (zenon_L44_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.66/11.88 apply (zenon_L140_); trivial. % 11.66/11.88 apply (zenon_L141_); trivial. % 11.66/11.88 (* end of lemma zenon_L142_ *) % 11.66/11.88 assert (zenon_L143_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H197 zenon_H63 zenon_H198. % 11.66/11.88 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e3) (e3)))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H197. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_H63. % 11.66/11.88 cut (((e1) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H199]. % 11.66/11.88 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.66/11.88 congruence. % 11.66/11.88 apply zenon_H36. apply refl_equal. % 11.66/11.88 apply zenon_H199. apply sym_equal. exact zenon_H198. % 11.66/11.88 (* end of lemma zenon_L143_ *) % 11.66/11.88 assert (zenon_L144_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((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) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H19a zenon_H164 zenon_Hd7 zenon_Hb1 zenon_H117 zenon_H196 zenon_H5f zenon_Hb4 zenon_Hb5 zenon_Hda zenon_H81 zenon_H15a zenon_H197 zenon_H63. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H68 | zenon_intro zenon_H19b ]. % 11.66/11.88 apply (zenon_L139_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H19c ]. % 11.66/11.88 apply (zenon_L65_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H146 | zenon_intro zenon_H198 ]. % 11.66/11.88 apply (zenon_L142_); trivial. % 11.66/11.88 apply (zenon_L143_); trivial. % 11.66/11.88 (* end of lemma zenon_L144_ *) % 11.66/11.88 assert (zenon_L145_ : (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e0)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H59 zenon_H117 zenon_Ha2. % 11.66/11.88 cut (((op (e2) (e3)) = (e2)) = ((e0) = (e2))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H59. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_H117. % 11.66/11.88 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.88 cut (((op (e2) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H19d]. % 11.66/11.88 congruence. % 11.66/11.88 exact (zenon_H19d zenon_Ha2). % 11.66/11.88 apply zenon_H58. apply refl_equal. % 11.66/11.88 (* end of lemma zenon_L145_ *) % 11.66/11.88 assert (zenon_L146_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.66/11.88 do 0 intro. intros zenon_Hc3 zenon_Hbd zenon_H8d zenon_H1d zenon_Hb4 zenon_H5e zenon_H63 zenon_Hb1. % 11.66/11.88 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.66/11.88 exact (zenon_Hbd zenon_Hbc). % 11.66/11.88 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.66/11.88 apply (zenon_L35_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.66/11.88 apply (zenon_L122_); trivial. % 11.66/11.88 apply (zenon_L115_); trivial. % 11.66/11.88 (* end of lemma zenon_L146_ *) % 11.66/11.88 assert (zenon_L147_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.66/11.88 do 0 intro. intros zenon_Hca zenon_Hfa zenon_Hf7 zenon_H17a zenon_H7e zenon_H121 zenon_H17d zenon_H166 zenon_H34 zenon_H29 zenon_H43 zenon_H19a zenon_H196 zenon_H5f zenon_Hda zenon_H15a zenon_H197 zenon_H28 zenon_H19e zenon_Hb5 zenon_H19f zenon_H59 zenon_Hb1 zenon_Hb4 zenon_H1d zenon_H8d zenon_Hbd zenon_Hc3 zenon_H117 zenon_H186. % 11.66/11.88 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.66/11.88 apply (zenon_L47_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.66/11.88 apply (zenon_L27_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.66/11.88 apply (zenon_L123_); trivial. % 11.66/11.88 apply (zenon_L134_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.66/11.88 apply (zenon_L11_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.66/11.88 apply (zenon_L135_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hbc | zenon_intro zenon_H1a0 ]. % 11.66/11.88 exact (zenon_Hbd zenon_Hbc). % 11.66/11.88 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H135 | zenon_intro zenon_H1a1 ]. % 11.66/11.88 apply (zenon_L126_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd9 ]. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.66/11.88 apply (zenon_L22_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.66/11.88 apply (zenon_L13_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.66/11.88 apply (zenon_L62_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.66/11.88 apply (zenon_L136_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.66/11.88 apply (zenon_L144_); trivial. % 11.66/11.88 apply (zenon_L145_); trivial. % 11.66/11.88 apply (zenon_L65_); trivial. % 11.66/11.88 apply (zenon_L125_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.66/11.88 apply (zenon_L27_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.66/11.88 apply (zenon_L146_); trivial. % 11.66/11.88 apply (zenon_L134_); trivial. % 11.66/11.88 (* end of lemma zenon_L147_ *) % 11.66/11.88 assert (zenon_L148_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.66/11.88 do 0 intro. intros zenon_H158 zenon_Hd7 zenon_Haf zenon_H10d zenon_H79 zenon_Hca zenon_Hfa zenon_Hf7 zenon_H17a zenon_H7e zenon_H121 zenon_H17d zenon_H166 zenon_H34 zenon_H29 zenon_H43 zenon_H19a zenon_H196 zenon_H5f zenon_Hda zenon_H15a zenon_H197 zenon_H28 zenon_H19e zenon_Hb5 zenon_H19f zenon_H59 zenon_Hb1 zenon_Hb4 zenon_H1d zenon_H8d zenon_Hbd zenon_Hc3 zenon_H186. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H5a | zenon_intro zenon_H15d ]. % 11.66/11.88 apply (zenon_L124_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H85 | zenon_intro zenon_H15e ]. % 11.66/11.88 apply (zenon_L59_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ]. % 11.66/11.88 apply (zenon_L78_); trivial. % 11.66/11.88 apply (zenon_L147_); trivial. % 11.66/11.88 (* end of lemma zenon_L148_ *) % 11.66/11.88 assert (zenon_L149_ : (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e2)) -> False). % 11.66/11.88 do 0 intro. intros zenon_Hb4 zenon_Hd9 zenon_H87. % 11.66/11.88 cut (((op (e3) (e0)) = (e3)) = ((e2) = (e3))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_Hb4. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_Hd9. % 11.66/11.88 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.66/11.88 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 11.66/11.88 congruence. % 11.66/11.88 exact (zenon_H88 zenon_H87). % 11.66/11.88 apply zenon_H8f. apply refl_equal. % 11.66/11.88 (* end of lemma zenon_L149_ *) % 11.66/11.88 assert (zenon_L150_ : (((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) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.66/11.88 do 0 intro. intros zenon_H19f zenon_Hbd zenon_Hb1 zenon_H29 zenon_H8d zenon_H5b zenon_Hb5 zenon_H121. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hbc | zenon_intro zenon_H1a0 ]. % 11.66/11.88 exact (zenon_Hbd zenon_Hbc). % 11.66/11.88 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H135 | zenon_intro zenon_H1a1 ]. % 11.66/11.88 apply (zenon_L126_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd9 ]. % 11.66/11.88 apply (zenon_L62_); trivial. % 11.66/11.88 apply (zenon_L87_); trivial. % 11.66/11.88 (* end of lemma zenon_L150_ *) % 11.66/11.88 assert (zenon_L151_ : ((op (e3) (e1)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.66/11.88 do 0 intro. intros zenon_Hb8 zenon_Haf zenon_H1a4. % 11.66/11.88 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H122 | zenon_intro zenon_H123 ]. % 11.66/11.88 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e2) (e1)) = (op (e3) (e1)))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H1a4. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_H122. % 11.66/11.88 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 11.66/11.88 cut (((op (e3) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a5]. % 11.66/11.88 congruence. % 11.66/11.88 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e2) (e1)))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H1a5. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_Hb8. % 11.66/11.88 cut (((e1) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a6]. % 11.66/11.88 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 11.66/11.88 congruence. % 11.66/11.88 apply zenon_H123. apply refl_equal. % 11.66/11.88 apply zenon_H1a6. apply sym_equal. exact zenon_Haf. % 11.66/11.88 apply zenon_H123. apply refl_equal. % 11.66/11.88 apply zenon_H123. apply refl_equal. % 11.66/11.88 (* end of lemma zenon_L151_ *) % 11.66/11.88 assert (zenon_L152_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H115 zenon_H49 zenon_H146. % 11.66/11.88 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e3) (e2)))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H115. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_H49. % 11.66/11.88 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1a7]. % 11.66/11.88 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 11.66/11.88 congruence. % 11.66/11.88 apply zenon_H4c. apply refl_equal. % 11.66/11.88 apply zenon_H1a7. apply sym_equal. exact zenon_H146. % 11.66/11.88 (* end of lemma zenon_L152_ *) % 11.66/11.88 assert (zenon_L153_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H183 zenon_H144 zenon_H146 zenon_H115 zenon_H10d zenon_H10c zenon_H78 zenon_Hbe. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H14c | zenon_intro zenon_H184 ]. % 11.66/11.88 apply (zenon_L104_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H49 | zenon_intro zenon_H185 ]. % 11.66/11.88 apply (zenon_L152_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H79 | zenon_intro zenon_H13b ]. % 11.66/11.88 apply (zenon_L78_); trivial. % 11.66/11.88 apply (zenon_L132_); trivial. % 11.66/11.88 (* end of lemma zenon_L153_ *) % 11.66/11.88 assert (zenon_L154_ : (((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) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H15a zenon_H81 zenon_Hda zenon_Hb5 zenon_Hb4 zenon_H5f zenon_H183 zenon_H146 zenon_H115 zenon_H10d zenon_H10c zenon_H78 zenon_Hbe. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.66/11.88 apply (zenon_L97_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.66/11.88 apply (zenon_L44_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.66/11.88 apply (zenon_L140_); trivial. % 11.66/11.88 apply (zenon_L153_); trivial. % 11.66/11.88 (* end of lemma zenon_L154_ *) % 11.66/11.88 assert (zenon_L155_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((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) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H19a zenon_H164 zenon_Hd7 zenon_H1a4 zenon_Haf zenon_Hbe zenon_H78 zenon_H10c zenon_H10d zenon_H115 zenon_H183 zenon_H5f zenon_Hb4 zenon_Hb5 zenon_Hda zenon_H81 zenon_H15a zenon_H197 zenon_H63. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H68 | zenon_intro zenon_H19b ]. % 11.66/11.88 apply (zenon_L139_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H19c ]. % 11.66/11.88 apply (zenon_L151_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H146 | zenon_intro zenon_H198 ]. % 11.66/11.88 apply (zenon_L154_); trivial. % 11.66/11.88 apply (zenon_L143_); trivial. % 11.66/11.88 (* end of lemma zenon_L155_ *) % 11.66/11.88 assert (zenon_L156_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((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) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H158 zenon_H183 zenon_H115 zenon_H10d zenon_H78 zenon_Hbe zenon_Haf zenon_H1a4 zenon_H19a zenon_H164 zenon_Hd7 zenon_Hb1 zenon_H196 zenon_H5f zenon_Hb4 zenon_Hb5 zenon_Hda zenon_H81 zenon_H15a zenon_H197 zenon_H63. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H5a | zenon_intro zenon_H15d ]. % 11.66/11.88 apply (zenon_L124_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H85 | zenon_intro zenon_H15e ]. % 11.66/11.88 apply (zenon_L59_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ]. % 11.66/11.88 apply (zenon_L155_); trivial. % 11.66/11.88 apply (zenon_L144_); trivial. % 11.66/11.88 (* end of lemma zenon_L156_ *) % 11.66/11.88 assert (zenon_L157_ : (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e3) (e0)) = (e1)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H176 zenon_H29 zenon_H68. % 11.66/11.88 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e3) (e0)))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H176. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_H29. % 11.66/11.88 cut (((e1) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1a8]. % 11.66/11.88 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 11.66/11.88 congruence. % 11.66/11.88 apply zenon_H46. apply refl_equal. % 11.66/11.88 apply zenon_H1a8. apply sym_equal. exact zenon_H68. % 11.66/11.88 (* end of lemma zenon_L157_ *) % 11.66/11.88 assert (zenon_L158_ : (~((e0) = (e2))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e2)) = (e0)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H59 zenon_H114 zenon_H13f. % 11.66/11.88 cut (((op (e3) (e2)) = (e2)) = ((e0) = (e2))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H59. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_H114. % 11.66/11.88 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.66/11.88 cut (((op (e3) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 11.66/11.88 congruence. % 11.66/11.88 exact (zenon_H1a9 zenon_H13f). % 11.66/11.88 apply zenon_H58. apply refl_equal. % 11.66/11.88 (* end of lemma zenon_L158_ *) % 11.66/11.88 assert (zenon_L159_ : (((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) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H15a zenon_H81 zenon_Hda zenon_Hb5 zenon_Hb4 zenon_H13f zenon_H59 zenon_H183 zenon_H146 zenon_H115 zenon_H10d zenon_H10c zenon_H78 zenon_Hbe. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.66/11.88 apply (zenon_L97_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.66/11.88 apply (zenon_L44_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.66/11.88 apply (zenon_L158_); trivial. % 11.66/11.88 apply (zenon_L153_); trivial. % 11.66/11.88 (* end of lemma zenon_L159_ *) % 11.66/11.88 assert (zenon_L160_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (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) (e1)) = (e3)) -> (~((e2) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e0)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H167 zenon_H8d zenon_H2a zenon_H4a zenon_Hd7 zenon_H1a4 zenon_Haf zenon_H5f zenon_H158 zenon_Hc7 zenon_H17f zenon_H99 zenon_H63 zenon_H197 zenon_H15a zenon_H81 zenon_Hda zenon_Hb5 zenon_Hb4 zenon_H183 zenon_H115 zenon_H10d zenon_H78 zenon_Hbe zenon_Hb1 zenon_H176 zenon_H29 zenon_H19a zenon_H59 zenon_Ha2. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.66/11.88 apply (zenon_L50_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.66/11.88 apply (zenon_L131_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H5a | zenon_intro zenon_H15d ]. % 11.66/11.88 apply (zenon_L54_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H85 | zenon_intro zenon_H15e ]. % 11.66/11.88 apply (zenon_L130_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ]. % 11.66/11.88 apply (zenon_L155_); trivial. % 11.66/11.88 apply (zenon_L145_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H5a | zenon_intro zenon_H15d ]. % 11.66/11.88 apply (zenon_L54_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H85 | zenon_intro zenon_H15e ]. % 11.66/11.88 apply (zenon_L130_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ]. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H68 | zenon_intro zenon_H19b ]. % 11.66/11.88 apply (zenon_L157_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H19c ]. % 11.66/11.88 apply (zenon_L65_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H146 | zenon_intro zenon_H198 ]. % 11.66/11.88 apply (zenon_L159_); trivial. % 11.66/11.88 apply (zenon_L143_); trivial. % 11.66/11.88 apply (zenon_L145_); trivial. % 11.66/11.88 (* end of lemma zenon_L160_ *) % 11.66/11.88 assert (zenon_L161_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((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) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> False). % 11.66/11.88 do 0 intro. intros zenon_H95 zenon_H170 zenon_H186 zenon_Hca zenon_H1f zenon_H89 zenon_H7e zenon_Hb1 zenon_Hb9 zenon_H19a zenon_H29 zenon_H176 zenon_H78 zenon_H10d zenon_H115 zenon_H183 zenon_Hda zenon_H15a zenon_H197 zenon_H17f zenon_Hc7 zenon_H158 zenon_H1a4 zenon_H4a zenon_H2a zenon_H8d zenon_H167 zenon_H196 zenon_H28 zenon_H19f zenon_H19e zenon_H43 zenon_H34 zenon_H166 zenon_H17d zenon_H121 zenon_H59 zenon_H1d zenon_Hfa zenon_Hf7 zenon_Hb4 zenon_Hb5 zenon_H17a zenon_Hbd zenon_Hc3 zenon_H5f. % 11.66/11.88 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.66/11.88 apply (zenon_L47_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.66/11.88 apply (zenon_L27_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.66/11.88 apply (zenon_L123_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.66/11.88 apply (zenon_L47_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.66/11.88 apply (zenon_L31_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hbc | zenon_intro zenon_H1a0 ]. % 11.66/11.88 exact (zenon_Hbd zenon_Hbc). % 11.66/11.88 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H135 | zenon_intro zenon_H1a1 ]. % 11.66/11.88 apply (zenon_L96_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd9 ]. % 11.66/11.88 apply (zenon_L124_); trivial. % 11.66/11.88 apply (zenon_L125_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.66/11.88 exact (zenon_Hbd zenon_Hbc). % 11.66/11.88 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.66/11.88 apply (zenon_L35_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hbc | zenon_intro zenon_H1a0 ]. % 11.66/11.88 exact (zenon_Hbd zenon_Hbc). % 11.66/11.88 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H135 | zenon_intro zenon_H1a1 ]. % 11.66/11.88 apply (zenon_L126_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd9 ]. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.66/11.88 apply (zenon_L127_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.66/11.88 apply (zenon_L13_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.66/11.88 apply (zenon_L128_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H5a | zenon_intro zenon_H15d ]. % 11.66/11.88 apply (zenon_L129_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H85 | zenon_intro zenon_H15e ]. % 11.66/11.88 apply (zenon_L130_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ]. % 11.66/11.88 apply (zenon_L133_); trivial. % 11.66/11.88 apply (zenon_L147_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.66/11.88 apply (zenon_L148_); trivial. % 11.66/11.88 apply (zenon_L71_); trivial. % 11.66/11.88 apply (zenon_L65_); trivial. % 11.66/11.88 apply (zenon_L149_); trivial. % 11.66/11.88 apply (zenon_L51_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.66/11.88 apply (zenon_L11_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.66/11.88 apply (zenon_L135_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.66/11.88 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.66/11.88 exact (zenon_Hbd zenon_Hbc). % 11.66/11.88 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.66/11.88 apply (zenon_L121_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hbc | zenon_intro zenon_H1a0 ]. % 11.66/11.88 exact (zenon_Hbd zenon_Hbc). % 11.66/11.88 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H135 | zenon_intro zenon_H1a1 ]. % 11.66/11.88 apply (zenon_L96_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd9 ]. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.66/11.88 apply (zenon_L22_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.66/11.88 apply (zenon_L13_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.66/11.88 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.66/11.88 apply (zenon_L27_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.66/11.88 apply (zenon_L150_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.66/11.88 apply (zenon_L136_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.66/11.88 apply (zenon_L156_); trivial. % 11.66/11.88 apply (zenon_L160_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.66/11.88 apply (zenon_L59_); trivial. % 11.66/11.88 apply (zenon_L44_); trivial. % 11.66/11.88 apply (zenon_L65_); trivial. % 11.66/11.88 apply (zenon_L125_); trivial. % 11.66/11.88 apply (zenon_L111_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.66/11.88 apply (zenon_L27_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.66/11.88 apply (zenon_L123_); trivial. % 11.66/11.88 apply (zenon_L29_); trivial. % 11.66/11.88 (* end of lemma zenon_L161_ *) % 11.66/11.88 assert (zenon_L162_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H15a zenon_H59 zenon_H67 zenon_Hb5 zenon_Hb4 zenon_He1 zenon_H183 zenon_H146 zenon_H115 zenon_H10d zenon_H10c zenon_H78 zenon_Hbe. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.66/11.88 apply (zenon_L33_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.66/11.88 apply (zenon_L44_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.66/11.88 apply (zenon_L98_); trivial. % 11.66/11.88 apply (zenon_L153_); trivial. % 11.66/11.88 (* end of lemma zenon_L162_ *) % 11.66/11.88 assert (zenon_L163_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.66/11.88 do 0 intro. intros zenon_H158 zenon_Hc7 zenon_H81 zenon_H17f zenon_H99 zenon_H63 zenon_H67 zenon_He1 zenon_H183 zenon_H115 zenon_H10d zenon_H78 zenon_Hbe zenon_Hd7 zenon_H164 zenon_Hca zenon_Hfa zenon_Hf7 zenon_H17a zenon_H7e zenon_H121 zenon_H17d zenon_H166 zenon_H34 zenon_H29 zenon_H43 zenon_H19a zenon_H196 zenon_H5f zenon_Hda zenon_H15a zenon_H197 zenon_H28 zenon_H19e zenon_Hb5 zenon_H19f zenon_H59 zenon_Hb1 zenon_Hb4 zenon_H1d zenon_H8d zenon_Hbd zenon_Hc3 zenon_H186. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H5a | zenon_intro zenon_H15d ]. % 11.66/11.88 apply (zenon_L54_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H85 | zenon_intro zenon_H15e ]. % 11.66/11.88 apply (zenon_L130_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ]. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H68 | zenon_intro zenon_H19b ]. % 11.66/11.88 apply (zenon_L139_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H19c ]. % 11.66/11.88 apply (zenon_L65_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H146 | zenon_intro zenon_H198 ]. % 11.66/11.88 apply (zenon_L162_); trivial. % 11.66/11.88 apply (zenon_L143_); trivial. % 11.66/11.88 apply (zenon_L147_); trivial. % 11.66/11.88 (* end of lemma zenon_L163_ *) % 11.66/11.88 assert (zenon_L164_ : (((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)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H19f zenon_Hbd zenon_Hb1 zenon_H29 zenon_Hb4 zenon_H5a zenon_H8d zenon_H67. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hbc | zenon_intro zenon_H1a0 ]. % 11.66/11.88 exact (zenon_Hbd zenon_Hbc). % 11.66/11.88 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H135 | zenon_intro zenon_H1a1 ]. % 11.66/11.88 apply (zenon_L126_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd9 ]. % 11.66/11.88 apply (zenon_L124_); trivial. % 11.66/11.88 apply (zenon_L120_); trivial. % 11.66/11.88 (* end of lemma zenon_L164_ *) % 11.66/11.88 assert (zenon_L165_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (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) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e0)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H158 zenon_H8d zenon_Hbd zenon_H19f zenon_Haf zenon_H5f zenon_H63 zenon_H197 zenon_H15a zenon_H67 zenon_Hb5 zenon_Hb4 zenon_He1 zenon_H183 zenon_H115 zenon_H10d zenon_H78 zenon_Hbe zenon_Hb1 zenon_H176 zenon_H29 zenon_H19a zenon_H59 zenon_Ha2. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H5a | zenon_intro zenon_H15d ]. % 11.66/11.88 apply (zenon_L164_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H85 | zenon_intro zenon_H15e ]. % 11.66/11.88 apply (zenon_L59_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ]. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H68 | zenon_intro zenon_H19b ]. % 11.66/11.88 apply (zenon_L157_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H19c ]. % 11.66/11.88 apply (zenon_L65_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H146 | zenon_intro zenon_H198 ]. % 11.66/11.88 apply (zenon_L162_); trivial. % 11.66/11.88 apply (zenon_L143_); trivial. % 11.66/11.88 apply (zenon_L145_); trivial. % 11.66/11.88 (* end of lemma zenon_L165_ *) % 11.66/11.88 assert (zenon_L166_ : (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H1aa zenon_H189 zenon_Ha2. % 11.66/11.88 cut (((op (e2) (e1)) = (e0)) = ((op (e2) (e1)) = (op (e2) (e3)))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H1aa. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_H189. % 11.66/11.88 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1ab]. % 11.66/11.88 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 11.66/11.88 congruence. % 11.66/11.88 apply zenon_Hcf. apply refl_equal. % 11.66/11.88 apply zenon_H1ab. apply sym_equal. exact zenon_Ha2. % 11.66/11.88 (* end of lemma zenon_L166_ *) % 11.66/11.88 assert (zenon_L167_ : (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False). % 11.66/11.88 do 0 intro. intros zenon_H1aa zenon_Haf zenon_He8. % 11.66/11.88 cut (((op (e2) (e1)) = (e1)) = ((op (e2) (e1)) = (op (e2) (e3)))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H1aa. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_Haf. % 11.66/11.88 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hf6]. % 11.66/11.88 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 11.66/11.88 congruence. % 11.66/11.88 apply zenon_Hcf. apply refl_equal. % 11.66/11.88 apply zenon_Hf6. apply sym_equal. exact zenon_He8. % 11.66/11.88 (* end of lemma zenon_L167_ *) % 11.66/11.88 assert (zenon_L168_ : ((op (e2) (e3)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.66/11.88 do 0 intro. intros zenon_H106 zenon_Hfa zenon_Hf5. % 11.66/11.88 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H118 | zenon_intro zenon_H119 ]. % 11.66/11.88 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e1) (e3)) = (op (e2) (e3)))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_Hf5. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_H118. % 11.66/11.88 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 11.66/11.88 cut (((op (e2) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 11.66/11.88 congruence. % 11.66/11.88 cut (((op (e2) (e3)) = (e3)) = ((op (e2) (e3)) = (op (e1) (e3)))). % 11.66/11.88 intro zenon_D_pnotp. % 11.66/11.88 apply zenon_H11a. % 11.66/11.88 rewrite <- zenon_D_pnotp. % 11.66/11.88 exact zenon_H106. % 11.66/11.88 cut (((e3) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 11.66/11.88 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 11.66/11.88 congruence. % 11.66/11.88 apply zenon_H119. apply refl_equal. % 11.66/11.88 apply zenon_Hff. apply sym_equal. exact zenon_Hfa. % 11.66/11.88 apply zenon_H119. apply refl_equal. % 11.66/11.88 apply zenon_H119. apply refl_equal. % 11.66/11.88 (* end of lemma zenon_L168_ *) % 11.66/11.88 assert (zenon_L169_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.66/11.88 do 0 intro. intros zenon_H1ac zenon_H189 zenon_Haf zenon_H1aa zenon_H93 zenon_Hfa zenon_Hf5. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H1ad ]. % 11.66/11.88 apply (zenon_L166_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_He8 | zenon_intro zenon_H1ae ]. % 11.66/11.88 apply (zenon_L167_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H117 | zenon_intro zenon_H106 ]. % 11.66/11.88 apply (zenon_L84_); trivial. % 11.66/11.88 apply (zenon_L168_); trivial. % 11.66/11.88 (* end of lemma zenon_L169_ *) % 11.66/11.88 assert (zenon_L170_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (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) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> False). % 11.66/11.88 do 0 intro. intros zenon_Hf5 zenon_H93 zenon_H1aa zenon_H1ac zenon_H186 zenon_Hc3 zenon_H1d zenon_H19e zenon_H28 zenon_Hda zenon_H196 zenon_H43 zenon_H34 zenon_H166 zenon_H17d zenon_H121 zenon_H7e zenon_H17a zenon_Hf7 zenon_Hfa zenon_Hca zenon_Hd7 zenon_H99 zenon_H17f zenon_H81 zenon_Hc7 zenon_H158 zenon_H8d zenon_Hbd zenon_H19f zenon_Haf zenon_H5f zenon_H63 zenon_H197 zenon_H15a zenon_H67 zenon_Hb5 zenon_Hb4 zenon_He1 zenon_H183 zenon_H115 zenon_H10d zenon_H78 zenon_Hbe zenon_Hb1 zenon_H176 zenon_H29 zenon_H19a zenon_H59. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.66/11.88 apply (zenon_L62_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.66/11.88 apply (zenon_L169_); trivial. % 11.66/11.88 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.66/11.88 apply (zenon_L163_); trivial. % 11.66/11.88 apply (zenon_L165_); trivial. % 11.66/11.88 (* end of lemma zenon_L170_ *) % 11.66/11.88 assert (zenon_L171_ : (((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))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e2)) -> False). % 11.70/11.89 do 0 intro. intros zenon_H128 zenon_H8d zenon_H1d zenon_H9c zenon_Hb1 zenon_Haf zenon_Hb4 zenon_Hb6. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.70/11.89 apply (zenon_L35_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.70/11.89 exact (zenon_H9c zenon_H9b). % 11.70/11.89 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.70/11.89 apply (zenon_L42_); trivial. % 11.70/11.89 apply (zenon_L44_); trivial. % 11.70/11.89 (* end of lemma zenon_L171_ *) % 11.70/11.89 assert (zenon_L172_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H51 zenon_Hfa zenon_Hb1. % 11.70/11.89 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 11.70/11.89 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_Hb1. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H8e. % 11.70/11.89 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.70/11.89 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb2]. % 11.70/11.89 congruence. % 11.70/11.89 cut (((op (e1) (e3)) = (e1)) = ((e3) = (e1))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_Hb2. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H51. % 11.70/11.89 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.70/11.89 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1af]. % 11.70/11.89 congruence. % 11.70/11.89 exact (zenon_H1af zenon_Hfa). % 11.70/11.89 apply zenon_H27. apply refl_equal. % 11.70/11.89 apply zenon_H8f. apply refl_equal. % 11.70/11.89 apply zenon_H8f. apply refl_equal. % 11.70/11.89 (* end of lemma zenon_L172_ *) % 11.70/11.89 assert (zenon_L173_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H17d zenon_H51 zenon_Hb1. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_Hb5. zenon_intro zenon_H17e. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Hfa. zenon_intro zenon_H1b0. % 11.70/11.89 apply (zenon_L172_); trivial. % 11.70/11.89 (* end of lemma zenon_L173_ *) % 11.70/11.89 assert (zenon_L174_ : ((op (e2) (e3)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H106 zenon_Hd7 zenon_H1b1. % 11.70/11.89 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H118 | zenon_intro zenon_H119 ]. % 11.70/11.89 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e0)) = (op (e2) (e3)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H1b1. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H118. % 11.70/11.89 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 11.70/11.89 cut (((op (e2) (e3)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1b2]. % 11.70/11.89 congruence. % 11.70/11.89 cut (((op (e2) (e3)) = (e3)) = ((op (e2) (e3)) = (op (e2) (e0)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H1b2. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H106. % 11.70/11.89 cut (((e3) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H172]. % 11.70/11.89 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 11.70/11.89 congruence. % 11.70/11.89 apply zenon_H119. apply refl_equal. % 11.70/11.89 apply zenon_H172. apply sym_equal. exact zenon_Hd7. % 11.70/11.89 apply zenon_H119. apply refl_equal. % 11.70/11.89 apply zenon_H119. apply refl_equal. % 11.70/11.89 (* end of lemma zenon_L174_ *) % 11.70/11.89 assert (zenon_L175_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H1b3 zenon_Hd9 zenon_H155. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Hdf. zenon_intro zenon_H1b4. % 11.70/11.89 apply (zenon_L105_); trivial. % 11.70/11.89 (* end of lemma zenon_L175_ *) % 11.70/11.89 assert (zenon_L176_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H19f zenon_Hbd zenon_Hb1 zenon_H29 zenon_H1b1 zenon_H106 zenon_H1b3 zenon_H155. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hbc | zenon_intro zenon_H1a0 ]. % 11.70/11.89 exact (zenon_Hbd zenon_Hbc). % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H135 | zenon_intro zenon_H1a1 ]. % 11.70/11.89 apply (zenon_L126_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd9 ]. % 11.70/11.89 apply (zenon_L174_); trivial. % 11.70/11.89 apply (zenon_L175_); trivial. % 11.70/11.89 (* end of lemma zenon_L176_ *) % 11.70/11.89 assert (zenon_L177_ : ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H1d zenon_H34 zenon_Hb1 zenon_H29 zenon_H1b1 zenon_H1b3 zenon_H155 zenon_H19f. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Hdf. zenon_intro zenon_H1b4. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H106. zenon_intro zenon_H1b0. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H33 ]. % 11.70/11.89 apply (zenon_L176_); trivial. % 11.70/11.89 apply (zenon_L8_); trivial. % 11.70/11.89 (* end of lemma zenon_L177_ *) % 11.70/11.89 assert (zenon_L178_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H168 zenon_Hb1 zenon_H29 zenon_H9c zenon_Hbe zenon_H78 zenon_Hf9 zenon_Hfb. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.70/11.89 apply (zenon_L126_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.70/11.89 exact (zenon_H9c zenon_H9b). % 11.70/11.89 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.70/11.89 apply (zenon_L132_); trivial. % 11.70/11.89 apply (zenon_L72_); trivial. % 11.70/11.89 (* end of lemma zenon_L178_ *) % 11.70/11.89 assert (zenon_L179_ : ((op (e3) (e3)) = (e3)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_Hf9 zenon_Hc0 zenon_H197. % 11.70/11.89 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfd ]. % 11.70/11.89 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e0) (e3)) = (op (e3) (e3)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H197. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_Hfc. % 11.70/11.89 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 11.70/11.89 cut (((op (e3) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1b7]. % 11.70/11.89 congruence. % 11.70/11.89 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e0) (e3)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H1b7. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_Hf9. % 11.70/11.89 cut (((e3) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1b8]. % 11.70/11.89 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 11.70/11.89 congruence. % 11.70/11.89 apply zenon_Hfd. apply refl_equal. % 11.70/11.89 apply zenon_H1b8. apply sym_equal. exact zenon_Hc0. % 11.70/11.89 apply zenon_Hfd. apply refl_equal. % 11.70/11.89 apply zenon_Hfd. apply refl_equal. % 11.70/11.89 (* end of lemma zenon_L179_ *) % 11.70/11.89 assert (zenon_L180_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_Hc3 zenon_Hbd zenon_H8d zenon_H1d zenon_Hfb zenon_H78 zenon_H9c zenon_H29 zenon_Hb1 zenon_H168 zenon_Hf9 zenon_H197. % 11.70/11.89 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.70/11.89 exact (zenon_Hbd zenon_Hbc). % 11.70/11.89 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.70/11.89 apply (zenon_L35_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.70/11.89 apply (zenon_L178_); trivial. % 11.70/11.89 apply (zenon_L179_); trivial. % 11.70/11.89 (* end of lemma zenon_L180_ *) % 11.70/11.89 assert (zenon_L181_ : ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H1b6 zenon_H34 zenon_Hc3 zenon_H197 zenon_Hb1 zenon_H29 zenon_H78 zenon_Hfb zenon_Hf9 zenon_H168 zenon_H1d zenon_H8d zenon_H52 zenon_H1b9. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H33 ]. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9c | zenon_intro zenon_H51 ]. % 11.70/11.89 apply (zenon_L180_); trivial. % 11.70/11.89 apply (zenon_L17_); trivial. % 11.70/11.89 apply (zenon_L8_); trivial. % 11.70/11.89 (* end of lemma zenon_L181_ *) % 11.70/11.89 assert (zenon_L182_ : (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H1ba zenon_H34 zenon_Hc3 zenon_H197 zenon_Hb1 zenon_H29 zenon_H78 zenon_Hfb zenon_H168 zenon_H1d zenon_H8d zenon_H52. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hf9. zenon_intro zenon_H1bb. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hf9. zenon_intro zenon_H1b0. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1b9. zenon_intro zenon_H1bc. % 11.70/11.89 apply (zenon_L181_); trivial. % 11.70/11.89 (* end of lemma zenon_L182_ *) % 11.70/11.89 assert (zenon_L183_ : (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> False). % 11.70/11.89 do 0 intro. intros zenon_H1bd zenon_H1e zenon_H2f. % 11.70/11.89 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e0) (e2)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H1bd. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H1e. % 11.70/11.89 cut (((e0) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 11.70/11.89 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H138]. % 11.70/11.89 congruence. % 11.70/11.89 apply zenon_H138. apply refl_equal. % 11.70/11.89 apply zenon_H30. apply sym_equal. exact zenon_H2f. % 11.70/11.89 (* end of lemma zenon_L183_ *) % 11.70/11.89 assert (zenon_L184_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e0)) -> False). % 11.70/11.89 do 0 intro. intros zenon_H24 zenon_H1bd zenon_H2f. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H1e. zenon_intro zenon_H25. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H25). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 11.70/11.89 apply (zenon_L183_); trivial. % 11.70/11.89 (* end of lemma zenon_L184_ *) % 11.70/11.89 assert (zenon_L185_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (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 (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H2c zenon_Hca zenon_Hb4 zenon_H8d zenon_Hb1 zenon_Hc3 zenon_H28 zenon_H7e zenon_Hc7 zenon_H5a zenon_H59 zenon_H2f zenon_H5f. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1d. zenon_intro zenon_H2d. % 11.70/11.89 apply (zenon_L56_); trivial. % 11.70/11.89 (* end of lemma zenon_L185_ *) % 11.70/11.89 assert (zenon_L186_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> False). % 11.70/11.89 do 0 intro. intros zenon_H31 zenon_H59 zenon_H5a. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H2f. zenon_intro zenon_H32. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H5b. zenon_intro zenon_H26. % 11.70/11.89 apply (zenon_L20_); trivial. % 11.70/11.89 (* end of lemma zenon_L186_ *) % 11.70/11.89 assert (zenon_L187_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H33 zenon_H2f zenon_H1be. % 11.70/11.89 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.70/11.89 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e2)) = (op (e0) (e3)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H1be. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H35. % 11.70/11.89 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.70/11.89 cut (((op (e0) (e3)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1bf]. % 11.70/11.89 congruence. % 11.70/11.89 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e0) (e2)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H1bf. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H33. % 11.70/11.89 cut (((e0) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 11.70/11.89 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.70/11.89 congruence. % 11.70/11.89 apply zenon_H36. apply refl_equal. % 11.70/11.89 apply zenon_H30. apply sym_equal. exact zenon_H2f. % 11.70/11.89 apply zenon_H36. apply refl_equal. % 11.70/11.89 apply zenon_H36. apply refl_equal. % 11.70/11.89 (* end of lemma zenon_L187_ *) % 11.70/11.89 assert (zenon_L188_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H39 zenon_H2f zenon_H1be. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H33. zenon_intro zenon_H3a. % 11.70/11.89 apply (zenon_L187_); trivial. % 11.70/11.89 (* end of lemma zenon_L188_ *) % 11.70/11.89 assert (zenon_L189_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H3c zenon_H75 zenon_H5f. % 11.70/11.89 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H58 ]. % 11.70/11.89 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H5f. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H60. % 11.70/11.89 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.70/11.89 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.70/11.89 congruence. % 11.70/11.89 cut (((op (e0) (e1)) = (e1)) = ((e2) = (e1))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H61. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H3c. % 11.70/11.89 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.70/11.89 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 11.70/11.89 congruence. % 11.70/11.89 exact (zenon_H77 zenon_H75). % 11.70/11.89 apply zenon_H27. apply refl_equal. % 11.70/11.89 apply zenon_H58. apply refl_equal. % 11.70/11.89 apply zenon_H58. apply refl_equal. % 11.70/11.89 (* end of lemma zenon_L189_ *) % 11.70/11.89 assert (zenon_L190_ : (((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) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H6a zenon_H6b zenon_H4a zenon_H49 zenon_H5a zenon_H5f zenon_H67 zenon_H28. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.70/11.89 exact (zenon_H6b zenon_H6d). % 11.70/11.89 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.70/11.89 apply (zenon_L15_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.70/11.89 apply (zenon_L23_); trivial. % 11.70/11.89 apply (zenon_L24_); trivial. % 11.70/11.89 (* end of lemma zenon_L190_ *) % 11.70/11.89 assert (zenon_L191_ : ((op (e1) (e2)) = (e1)) -> ((op (e1) (e2)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H49 zenon_H13b zenon_Hb1. % 11.70/11.89 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 11.70/11.89 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_Hb1. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H8e. % 11.70/11.89 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.70/11.89 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb2]. % 11.70/11.89 congruence. % 11.70/11.89 cut (((op (e1) (e2)) = (e1)) = ((e3) = (e1))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_Hb2. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H49. % 11.70/11.89 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.70/11.89 cut (((op (e1) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1c0]. % 11.70/11.89 congruence. % 11.70/11.89 exact (zenon_H1c0 zenon_H13b). % 11.70/11.89 apply zenon_H27. apply refl_equal. % 11.70/11.89 apply zenon_H8f. apply refl_equal. % 11.70/11.89 apply zenon_H8f. apply refl_equal. % 11.70/11.89 (* end of lemma zenon_L191_ *) % 11.70/11.89 assert (zenon_L192_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False). % 11.70/11.89 do 0 intro. intros zenon_H197 zenon_H7c zenon_H144. % 11.70/11.89 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (e3)) = (op (e3) (e3)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H197. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H7c. % 11.70/11.89 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H154]. % 11.70/11.89 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.70/11.89 congruence. % 11.70/11.89 apply zenon_H36. apply refl_equal. % 11.70/11.89 apply zenon_H154. apply sym_equal. exact zenon_H144. % 11.70/11.89 (* end of lemma zenon_L192_ *) % 11.70/11.89 assert (zenon_L193_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.70/11.89 do 0 intro. intros zenon_H15a zenon_H59 zenon_H67 zenon_Hb5 zenon_Hb4 zenon_H146 zenon_H5f zenon_H197 zenon_H7c. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.70/11.89 apply (zenon_L33_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.70/11.89 apply (zenon_L44_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.70/11.89 apply (zenon_L140_); trivial. % 11.70/11.89 apply (zenon_L192_); trivial. % 11.70/11.89 (* end of lemma zenon_L193_ *) % 11.70/11.89 assert (zenon_L194_ : (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e1)) -> False). % 11.70/11.89 do 0 intro. intros zenon_Hb1 zenon_Hdf zenon_H146. % 11.70/11.89 cut (((op (e3) (e2)) = (e3)) = ((e1) = (e3))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_Hb1. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_Hdf. % 11.70/11.89 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.70/11.89 cut (((op (e3) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H195]. % 11.70/11.89 congruence. % 11.70/11.89 exact (zenon_H195 zenon_H146). % 11.70/11.89 apply zenon_H8f. apply refl_equal. % 11.70/11.89 (* end of lemma zenon_L194_ *) % 11.70/11.89 assert (zenon_L195_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> False). % 11.70/11.89 do 0 intro. intros zenon_Hd4 zenon_H2f zenon_H164. % 11.70/11.89 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e2) (e2)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_Hd4. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H2f. % 11.70/11.89 cut (((e0) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 11.70/11.89 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 11.70/11.89 congruence. % 11.70/11.89 apply zenon_H7b. apply refl_equal. % 11.70/11.89 apply zenon_H165. apply sym_equal. exact zenon_H164. % 11.70/11.89 (* end of lemma zenon_L195_ *) % 11.70/11.89 assert (zenon_L196_ : (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e0)) -> False). % 11.70/11.89 do 0 intro. intros zenon_H28 zenon_H51 zenon_H92. % 11.70/11.89 cut (((op (e1) (e3)) = (e1)) = ((e0) = (e1))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H28. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H51. % 11.70/11.89 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.70/11.89 cut (((op (e1) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1c1]. % 11.70/11.89 congruence. % 11.70/11.89 exact (zenon_H1c1 zenon_H92). % 11.70/11.89 apply zenon_H27. apply refl_equal. % 11.70/11.89 (* end of lemma zenon_L196_ *) % 11.70/11.89 assert (zenon_L197_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e2) (e2)) = (e3)) -> ((op (e1) (e3)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H1c2 zenon_H5f zenon_H7c zenon_H28 zenon_He0 zenon_H92 zenon_H1c3. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H63 | zenon_intro zenon_H1c4 ]. % 11.70/11.89 apply (zenon_L29_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H51 | zenon_intro zenon_H1c5 ]. % 11.70/11.89 apply (zenon_L196_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_He8 | zenon_intro zenon_H198 ]. % 11.70/11.89 apply (zenon_L69_); trivial. % 11.70/11.89 exact (zenon_H1c3 zenon_H198). % 11.70/11.89 (* end of lemma zenon_L197_ *) % 11.70/11.89 assert (zenon_L198_ : (((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 (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H1c6 zenon_H2f zenon_Hd4 zenon_H1c7 zenon_H10d zenon_H79 zenon_H1c2 zenon_H5f zenon_H7c zenon_H28 zenon_H92 zenon_H1c3. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c8 ]. % 11.70/11.89 apply (zenon_L195_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H1c9 ]. % 11.70/11.89 exact (zenon_H1c7 zenon_Hd5). % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10c | zenon_intro zenon_He0 ]. % 11.70/11.89 apply (zenon_L78_); trivial. % 11.70/11.89 apply (zenon_L197_); trivial. % 11.70/11.89 (* end of lemma zenon_L198_ *) % 11.70/11.89 assert (zenon_L199_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((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 (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> False). % 11.70/11.89 do 0 intro. intros zenon_H1ca zenon_H59 zenon_H1c3 zenon_H92 zenon_H28 zenon_H7c zenon_H1c2 zenon_H10d zenon_H1c7 zenon_Hd4 zenon_H2f zenon_H1c6 zenon_H5a zenon_H163 zenon_H5f zenon_H146. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.70/11.89 apply (zenon_L48_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.70/11.89 apply (zenon_L198_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.70/11.89 apply (zenon_L113_); trivial. % 11.70/11.89 apply (zenon_L140_); trivial. % 11.70/11.89 (* end of lemma zenon_L199_ *) % 11.70/11.89 assert (zenon_L200_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e3)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((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 (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H1cd zenon_Hb1 zenon_H13b zenon_H1ca zenon_H59 zenon_H1c3 zenon_H92 zenon_H28 zenon_H7c zenon_H1c2 zenon_H10d zenon_H1c7 zenon_Hd4 zenon_H2f zenon_H1c6 zenon_H5a zenon_H163 zenon_H5f. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.70/11.89 apply (zenon_L53_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.70/11.89 apply (zenon_L191_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.70/11.89 exact (zenon_H1c7 zenon_Hd5). % 11.70/11.89 apply (zenon_L199_); trivial. % 11.70/11.89 (* end of lemma zenon_L200_ *) % 11.70/11.89 assert (zenon_L201_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e1)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (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 (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e1))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H103 zenon_Hda zenon_Hbc zenon_H197 zenon_Hb4 zenon_H67 zenon_H15a zenon_H146 zenon_H100 zenon_H5f zenon_H163 zenon_H5a zenon_H1c6 zenon_H2f zenon_Hd4 zenon_H1c7 zenon_H10d zenon_H1c2 zenon_H28 zenon_H1c3 zenon_H59 zenon_H1ca zenon_H13b zenon_Hb1 zenon_H1cd zenon_He8 zenon_Hf5 zenon_H7c zenon_Hf7 zenon_Hfb. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H104 ]. % 11.70/11.89 apply (zenon_L64_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H105 ]. % 11.70/11.89 apply (zenon_L193_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf9 ]. % 11.70/11.89 apply (zenon_L194_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H92 | zenon_intro zenon_H101 ]. % 11.70/11.89 apply (zenon_L200_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H51 | zenon_intro zenon_H102 ]. % 11.70/11.89 apply (zenon_L70_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H93 | zenon_intro zenon_Hfa ]. % 11.70/11.89 apply (zenon_L71_); trivial. % 11.70/11.89 apply (zenon_L72_); trivial. % 11.70/11.89 (* end of lemma zenon_L201_ *) % 11.70/11.89 assert (zenon_L202_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (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 (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e1))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H103 zenon_Hda zenon_Hbc zenon_H197 zenon_Hb4 zenon_H67 zenon_H15a zenon_H100 zenon_H5f zenon_H163 zenon_H5a zenon_H1c6 zenon_H2f zenon_Hd4 zenon_H1c7 zenon_H10d zenon_H1c2 zenon_H28 zenon_H1c3 zenon_H59 zenon_H1ca zenon_H13b zenon_Hb1 zenon_H1cd zenon_He8 zenon_Hf5 zenon_H7c zenon_Hf7 zenon_Hfb. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.70/11.89 apply (zenon_L53_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.70/11.89 apply (zenon_L191_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.70/11.89 exact (zenon_H1c7 zenon_Hd5). % 11.70/11.89 apply (zenon_L201_); trivial. % 11.70/11.89 (* end of lemma zenon_L202_ *) % 11.70/11.89 assert (zenon_L203_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e1)) = (e3)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (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 (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e1))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H157 zenon_H29 zenon_H70 zenon_Hb0 zenon_H103 zenon_Hda zenon_Hbc zenon_H197 zenon_Hb4 zenon_H67 zenon_H15a zenon_H100 zenon_H5f zenon_H163 zenon_H5a zenon_H1c6 zenon_H2f zenon_Hd4 zenon_H1c7 zenon_H10d zenon_H1c2 zenon_H28 zenon_H1c3 zenon_H59 zenon_H1ca zenon_H13b zenon_Hb1 zenon_H1cd zenon_Hf5 zenon_H7c zenon_Hf7 zenon_Hfb. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.70/11.89 apply (zenon_L90_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.70/11.89 apply (zenon_L42_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.70/11.89 exact (zenon_H1c7 zenon_Hd5). % 11.70/11.89 apply (zenon_L202_); trivial. % 11.70/11.89 (* end of lemma zenon_L203_ *) % 11.70/11.89 assert (zenon_L204_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e3)) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H103 zenon_H8d zenon_H197 zenon_H5f zenon_H146 zenon_Hb4 zenon_H67 zenon_H59 zenon_H15a zenon_He1 zenon_H100 zenon_He0 zenon_He8 zenon_Hf5 zenon_H7c zenon_Hf7 zenon_Hfb. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H104 ]. % 11.70/11.89 apply (zenon_L120_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H105 ]. % 11.70/11.89 apply (zenon_L193_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf9 ]. % 11.70/11.89 apply (zenon_L66_); trivial. % 11.70/11.89 apply (zenon_L73_); trivial. % 11.70/11.89 (* end of lemma zenon_L204_ *) % 11.70/11.89 assert (zenon_L205_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (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 (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e1)) -> False). % 11.70/11.89 do 0 intro. intros zenon_H1d0 zenon_H157 zenon_H29 zenon_H70 zenon_Hda zenon_Hbc zenon_H163 zenon_H5a zenon_H1c6 zenon_H2f zenon_Hd4 zenon_H1c7 zenon_H10d zenon_H1c2 zenon_H28 zenon_H1c3 zenon_H1ca zenon_H1cd zenon_H1d1 zenon_Hfb zenon_Hf7 zenon_H7c zenon_Hf5 zenon_H100 zenon_He1 zenon_H15a zenon_H59 zenon_H67 zenon_Hb4 zenon_H146 zenon_H5f zenon_H197 zenon_H8d zenon_H103 zenon_Hb1 zenon_He8. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.70/11.89 apply (zenon_L124_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d4 ]. % 11.70/11.89 apply (zenon_L50_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13b | zenon_intro zenon_H1d5 ]. % 11.70/11.89 apply (zenon_L203_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ]. % 11.70/11.89 apply (zenon_L204_); trivial. % 11.70/11.89 apply (zenon_L194_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.70/11.89 apply (zenon_L204_); trivial. % 11.70/11.89 apply (zenon_L75_); trivial. % 11.70/11.89 (* end of lemma zenon_L205_ *) % 11.70/11.89 assert (zenon_L206_ : (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (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 (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e1)) -> False). % 11.70/11.89 do 0 intro. intros zenon_H4a zenon_H6b zenon_H6a zenon_H1d0 zenon_H157 zenon_H29 zenon_H70 zenon_Hda zenon_Hbc zenon_H163 zenon_H5a zenon_H1c6 zenon_H2f zenon_Hd4 zenon_H1c7 zenon_H10d zenon_H1c2 zenon_H28 zenon_H1c3 zenon_H1ca zenon_H1cd zenon_H1d1 zenon_Hfb zenon_Hf7 zenon_H7c zenon_Hf5 zenon_H100 zenon_He1 zenon_H15a zenon_H59 zenon_H67 zenon_Hb4 zenon_H5f zenon_H197 zenon_H8d zenon_H103 zenon_Hb1 zenon_He8. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.70/11.89 apply (zenon_L53_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.70/11.89 apply (zenon_L190_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.70/11.89 exact (zenon_H1c7 zenon_Hd5). % 11.70/11.89 apply (zenon_L205_); trivial. % 11.70/11.89 (* end of lemma zenon_L206_ *) % 11.70/11.89 assert (zenon_L207_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H40 zenon_H49 zenon_H4a. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H29. zenon_intro zenon_H41. % 11.70/11.89 apply (zenon_L15_); trivial. % 11.70/11.89 (* end of lemma zenon_L207_ *) % 11.70/11.89 assert (zenon_L208_ : (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> ((op (e2) (e3)) = (e0)) -> False). % 11.70/11.89 do 0 intro. intros zenon_H8d zenon_H106 zenon_Ha2. % 11.70/11.89 cut (((op (e2) (e3)) = (e3)) = ((e0) = (e3))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H8d. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H106. % 11.70/11.89 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.70/11.89 cut (((op (e2) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H19d]. % 11.70/11.89 congruence. % 11.70/11.89 exact (zenon_H19d zenon_Ha2). % 11.70/11.89 apply zenon_H8f. apply refl_equal. % 11.70/11.89 (* end of lemma zenon_L208_ *) % 11.70/11.89 assert (zenon_L209_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (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)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e0)) -> False). % 11.70/11.89 do 0 intro. intros zenon_H1cd zenon_H2e zenon_H4a zenon_H40 zenon_H1c7 zenon_H1d0 zenon_H5a zenon_Hb1 zenon_Haf zenon_H1c3 zenon_H103 zenon_H197 zenon_H5f zenon_Hb4 zenon_H67 zenon_H59 zenon_H15a zenon_He1 zenon_H100 zenon_Hf5 zenon_H7c zenon_Hf7 zenon_Hfb zenon_H29 zenon_H52 zenon_H34 zenon_H3c zenon_H1c2 zenon_H8d zenon_Ha2. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.70/11.89 apply (zenon_L58_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.70/11.89 apply (zenon_L207_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.70/11.89 exact (zenon_H1c7 zenon_Hd5). % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.70/11.89 apply (zenon_L124_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.70/11.89 apply (zenon_L42_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H63 | zenon_intro zenon_H1c4 ]. % 11.70/11.89 apply (zenon_L22_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H51 | zenon_intro zenon_H1c5 ]. % 11.70/11.89 apply (zenon_L17_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_He8 | zenon_intro zenon_H198 ]. % 11.70/11.89 apply (zenon_L204_); trivial. % 11.70/11.89 exact (zenon_H1c3 zenon_H198). % 11.70/11.89 apply (zenon_L208_); trivial. % 11.70/11.89 (* end of lemma zenon_L209_ *) % 11.70/11.89 assert (zenon_L210_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H3c zenon_H8c zenon_Hb1. % 11.70/11.89 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 11.70/11.89 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_Hb1. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H8e. % 11.70/11.89 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.70/11.89 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb2]. % 11.70/11.89 congruence. % 11.70/11.89 cut (((op (e0) (e1)) = (e1)) = ((e3) = (e1))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_Hb2. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H3c. % 11.70/11.89 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.70/11.89 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H91]. % 11.70/11.89 congruence. % 11.70/11.89 exact (zenon_H91 zenon_H8c). % 11.70/11.89 apply zenon_H27. apply refl_equal. % 11.70/11.89 apply zenon_H8f. apply refl_equal. % 11.70/11.89 apply zenon_H8f. apply refl_equal. % 11.70/11.89 (* end of lemma zenon_L210_ *) % 11.70/11.89 assert (zenon_L211_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.70/11.89 do 0 intro. intros zenon_H15a zenon_H5a zenon_H170 zenon_Hb5 zenon_Hb4 zenon_H146 zenon_H5f zenon_H197 zenon_H7c. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.70/11.89 apply (zenon_L129_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.70/11.89 apply (zenon_L44_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.70/11.89 apply (zenon_L140_); trivial. % 11.70/11.89 apply (zenon_L192_); trivial. % 11.70/11.89 (* end of lemma zenon_L211_ *) % 11.70/11.89 assert (zenon_L212_ : (((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 (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.70/11.89 do 0 intro. intros zenon_H1cd zenon_H28 zenon_H2f zenon_H4a zenon_H40 zenon_H1c7 zenon_H15a zenon_H5a zenon_H170 zenon_Hb5 zenon_Hb4 zenon_H5f zenon_H197 zenon_H7c. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.70/11.89 apply (zenon_L53_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.70/11.89 apply (zenon_L207_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.70/11.89 exact (zenon_H1c7 zenon_Hd5). % 11.70/11.89 apply (zenon_L211_); trivial. % 11.70/11.89 (* end of lemma zenon_L212_ *) % 11.70/11.89 assert (zenon_L213_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (~((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 (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H7e zenon_Hc7 zenon_H3c zenon_H59 zenon_H1cd zenon_H28 zenon_H2f zenon_H4a zenon_H40 zenon_H1c7 zenon_H15a zenon_H5a zenon_H170 zenon_Hb5 zenon_Hb4 zenon_H5f zenon_H197. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.70/11.89 apply (zenon_L54_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.70/11.89 apply (zenon_L189_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.70/11.89 apply (zenon_L48_); trivial. % 11.70/11.89 apply (zenon_L212_); trivial. % 11.70/11.89 (* end of lemma zenon_L213_ *) % 11.70/11.89 assert (zenon_L214_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> False). % 11.70/11.89 do 0 intro. intros zenon_H130 zenon_H3c zenon_H44. % 11.70/11.89 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e1) (e1)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H130. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H3c. % 11.70/11.89 cut (((e1) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.70/11.89 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 11.70/11.89 congruence. % 11.70/11.89 apply zenon_H21. apply refl_equal. % 11.70/11.89 apply zenon_H45. apply sym_equal. exact zenon_H44. % 11.70/11.89 (* end of lemma zenon_L214_ *) % 11.70/11.89 assert (zenon_L215_ : ((op (e2) (e1)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_Haf zenon_H44 zenon_H17f. % 11.70/11.89 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_Hce | zenon_intro zenon_Hcf ]. % 11.70/11.89 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e1) (e1)) = (op (e2) (e1)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H17f. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_Hce. % 11.70/11.89 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 11.70/11.89 cut (((op (e2) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H180]. % 11.70/11.89 congruence. % 11.70/11.89 cut (((op (e2) (e1)) = (e1)) = ((op (e2) (e1)) = (op (e1) (e1)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H180. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_Haf. % 11.70/11.89 cut (((e1) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 11.70/11.89 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 11.70/11.89 congruence. % 11.70/11.89 apply zenon_Hcf. apply refl_equal. % 11.70/11.89 apply zenon_H45. apply sym_equal. exact zenon_H44. % 11.70/11.89 apply zenon_Hcf. apply refl_equal. % 11.70/11.89 apply zenon_Hcf. apply refl_equal. % 11.70/11.89 (* end of lemma zenon_L215_ *) % 11.70/11.89 assert (zenon_L216_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False). % 11.70/11.89 do 0 intro. intros zenon_H186 zenon_H63 zenon_He8. % 11.70/11.89 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e2) (e3)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H186. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H63. % 11.70/11.89 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hf6]. % 11.70/11.89 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.70/11.89 congruence. % 11.70/11.89 apply zenon_H36. apply refl_equal. % 11.70/11.89 apply zenon_Hf6. apply sym_equal. exact zenon_He8. % 11.70/11.89 (* end of lemma zenon_L216_ *) % 11.70/11.89 assert (zenon_L217_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H1d6 zenon_H84 zenon_H6b zenon_H130 zenon_H44 zenon_H28 zenon_H2f zenon_H157 zenon_H186 zenon_H17f zenon_H5a zenon_H5f zenon_Hca. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H85 ]. % 11.70/11.89 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.70/11.89 exact (zenon_H6b zenon_H6d). % 11.70/11.89 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.70/11.89 apply (zenon_L214_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.70/11.89 apply (zenon_L53_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.70/11.89 apply (zenon_L23_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.70/11.89 apply (zenon_L215_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.70/11.89 exact (zenon_H1c7 zenon_Hd5). % 11.70/11.89 apply (zenon_L216_); trivial. % 11.70/11.89 apply (zenon_L32_); trivial. % 11.70/11.89 (* end of lemma zenon_L217_ *) % 11.70/11.89 assert (zenon_L218_ : (((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H47 zenon_H7e zenon_Hb1 zenon_H8d zenon_Hb4 zenon_Hc3 zenon_H59 zenon_Hc7 zenon_Hca zenon_H5f zenon_H5a zenon_H17f zenon_H186 zenon_H157 zenon_H2f zenon_H28 zenon_H130 zenon_H84. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H44. zenon_intro zenon_H48. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H44. zenon_intro zenon_H42. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1da. zenon_intro zenon_H1d9. % 11.70/11.89 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1d6. zenon_intro zenon_H1db. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 11.70/11.89 apply (zenon_L217_); trivial. % 11.70/11.89 apply (zenon_L56_); trivial. % 11.70/11.89 (* end of lemma zenon_L218_ *) % 11.70/11.89 assert (zenon_L219_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H51 zenon_H49 zenon_H1dc. % 11.70/11.89 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H53 | zenon_intro zenon_H54 ]. % 11.70/11.89 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e2)) = (op (e1) (e3)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H1dc. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H53. % 11.70/11.89 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 11.70/11.89 cut (((op (e1) (e3)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1dd]. % 11.70/11.89 congruence. % 11.70/11.89 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e2)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H1dd. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H51. % 11.70/11.89 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1de]. % 11.70/11.89 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 11.70/11.89 congruence. % 11.70/11.89 apply zenon_H54. apply refl_equal. % 11.70/11.89 apply zenon_H1de. apply sym_equal. exact zenon_H49. % 11.70/11.89 apply zenon_H54. apply refl_equal. % 11.70/11.89 apply zenon_H54. apply refl_equal. % 11.70/11.89 (* end of lemma zenon_L219_ *) % 11.70/11.89 assert (zenon_L220_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H1c2 zenon_H5f zenon_H7c zenon_H1dc zenon_H49 zenon_Haf zenon_H1aa zenon_H1c3. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H63 | zenon_intro zenon_H1c4 ]. % 11.70/11.89 apply (zenon_L29_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H51 | zenon_intro zenon_H1c5 ]. % 11.70/11.89 apply (zenon_L219_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_He8 | zenon_intro zenon_H198 ]. % 11.70/11.89 apply (zenon_L167_); trivial. % 11.70/11.89 exact (zenon_H1c3 zenon_H198). % 11.70/11.89 (* end of lemma zenon_L220_ *) % 11.70/11.89 assert (zenon_L221_ : ((op (e1) (e2)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H49 zenon_H5d zenon_H78. % 11.70/11.89 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H4b | zenon_intro zenon_H4c ]. % 11.70/11.89 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e0) (e2)) = (op (e1) (e2)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H78. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H4b. % 11.70/11.89 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 11.70/11.89 cut (((op (e1) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1df]. % 11.70/11.89 congruence. % 11.70/11.89 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e0) (e2)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H1df. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H49. % 11.70/11.89 cut (((e1) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 11.70/11.89 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 11.70/11.89 congruence. % 11.70/11.89 apply zenon_H4c. apply refl_equal. % 11.70/11.89 apply zenon_Hd2. apply sym_equal. exact zenon_H5d. % 11.70/11.89 apply zenon_H4c. apply refl_equal. % 11.70/11.89 apply zenon_H4c. apply refl_equal. % 11.70/11.89 (* end of lemma zenon_L221_ *) % 11.70/11.89 assert (zenon_L222_ : ((op (e3) (e0)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H68 zenon_H65 zenon_H170. % 11.70/11.89 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hae ]. % 11.70/11.89 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e2) (e0)) = (op (e3) (e0)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H170. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_Hdb. % 11.70/11.89 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.70/11.89 cut (((op (e3) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H171]. % 11.70/11.89 congruence. % 11.70/11.89 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e2) (e0)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H171. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H68. % 11.70/11.89 cut (((e1) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12b]. % 11.70/11.89 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.70/11.89 congruence. % 11.70/11.89 apply zenon_Hae. apply refl_equal. % 11.70/11.89 apply zenon_H12b. apply sym_equal. exact zenon_H65. % 11.70/11.89 apply zenon_Hae. apply refl_equal. % 11.70/11.89 apply zenon_Hae. apply refl_equal. % 11.70/11.89 (* end of lemma zenon_L222_ *) % 11.70/11.89 assert (zenon_L223_ : (((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 (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H19a zenon_H170 zenon_H65 zenon_H1a4 zenon_Haf zenon_H49 zenon_H115 zenon_H1c3. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H68 | zenon_intro zenon_H19b ]. % 11.70/11.89 apply (zenon_L222_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H19c ]. % 11.70/11.89 apply (zenon_L151_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H146 | zenon_intro zenon_H198 ]. % 11.70/11.89 apply (zenon_L152_); trivial. % 11.70/11.89 exact (zenon_H1c3 zenon_H198). % 11.70/11.89 (* end of lemma zenon_L223_ *) % 11.70/11.89 assert (zenon_L224_ : ((op (e1) (e2)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H49 zenon_H79 zenon_H5f. % 11.70/11.89 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H58 ]. % 11.70/11.89 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H5f. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H60. % 11.70/11.89 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.70/11.89 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.70/11.89 congruence. % 11.70/11.89 cut (((op (e1) (e2)) = (e1)) = ((e2) = (e1))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H61. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H49. % 11.70/11.89 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.70/11.89 cut (((op (e1) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1e0]. % 11.70/11.89 congruence. % 11.70/11.89 exact (zenon_H1e0 zenon_H79). % 11.70/11.89 apply zenon_H27. apply refl_equal. % 11.70/11.89 apply zenon_H58. apply refl_equal. % 11.70/11.89 apply zenon_H58. apply refl_equal. % 11.70/11.89 (* end of lemma zenon_L224_ *) % 11.70/11.89 assert (zenon_L225_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> False). % 11.70/11.89 do 0 intro. intros zenon_Hcd zenon_H8c zenon_Hb0. % 11.70/11.89 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (e1)) = (op (e2) (e1)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_Hcd. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H8c. % 11.70/11.89 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1e1]. % 11.70/11.89 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 11.70/11.89 congruence. % 11.70/11.89 apply zenon_H21. apply refl_equal. % 11.70/11.89 apply zenon_H1e1. apply sym_equal. exact zenon_Hb0. % 11.70/11.89 (* end of lemma zenon_L225_ *) % 11.70/11.89 assert (zenon_L226_ : (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e0)) -> False). % 11.70/11.89 do 0 intro. intros zenon_H8d zenon_Hb5 zenon_H1e2. % 11.70/11.89 cut (((op (e3) (e1)) = (e3)) = ((e0) = (e3))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H8d. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_Hb5. % 11.70/11.89 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.70/11.89 cut (((op (e3) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1e3]. % 11.70/11.89 congruence. % 11.70/11.89 exact (zenon_H1e3 zenon_H1e2). % 11.70/11.89 apply zenon_H8f. apply refl_equal. % 11.70/11.89 (* end of lemma zenon_L226_ *) % 11.70/11.89 assert (zenon_L227_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H103 zenon_H68 zenon_Hb1 zenon_H1e2 zenon_H8d zenon_He1 zenon_He0 zenon_Hfa zenon_Hfb. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H104 ]. % 11.70/11.89 apply (zenon_L117_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H105 ]. % 11.70/11.89 apply (zenon_L226_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf9 ]. % 11.70/11.89 apply (zenon_L66_); trivial. % 11.70/11.89 apply (zenon_L72_); trivial. % 11.70/11.89 (* end of lemma zenon_L227_ *) % 11.70/11.89 assert (zenon_L228_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H1d0 zenon_Hb4 zenon_H5a zenon_H8c zenon_Hcd zenon_Hfb zenon_He1 zenon_H8d zenon_H1e2 zenon_Hb1 zenon_H68 zenon_H103 zenon_Hfa zenon_Hf5. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.70/11.89 apply (zenon_L124_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.70/11.89 apply (zenon_L225_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.70/11.89 apply (zenon_L227_); trivial. % 11.70/11.89 apply (zenon_L168_); trivial. % 11.70/11.89 (* end of lemma zenon_L228_ *) % 11.70/11.89 assert (zenon_L229_ : ((op (e2) (e3)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H117 zenon_H5a zenon_H1b1. % 11.70/11.89 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H118 | zenon_intro zenon_H119 ]. % 11.70/11.89 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e0)) = (op (e2) (e3)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H1b1. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H118. % 11.70/11.89 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 11.70/11.89 cut (((op (e2) (e3)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1b2]. % 11.70/11.89 congruence. % 11.70/11.89 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e2) (e0)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H1b2. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H117. % 11.70/11.89 cut (((e2) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1e4]. % 11.70/11.89 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 11.70/11.89 congruence. % 11.70/11.89 apply zenon_H119. apply refl_equal. % 11.70/11.89 apply zenon_H1e4. apply sym_equal. exact zenon_H5a. % 11.70/11.89 apply zenon_H119. apply refl_equal. % 11.70/11.89 apply zenon_H119. apply refl_equal. % 11.70/11.89 (* end of lemma zenon_L229_ *) % 11.70/11.89 assert (zenon_L230_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_H1ac zenon_H189 zenon_Haf zenon_H1aa zenon_H1b1 zenon_H5a zenon_Hfa zenon_Hf5. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H1ad ]. % 11.70/11.89 apply (zenon_L166_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_He8 | zenon_intro zenon_H1ae ]. % 11.70/11.89 apply (zenon_L167_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H117 | zenon_intro zenon_H106 ]. % 11.70/11.89 apply (zenon_L229_); trivial. % 11.70/11.89 apply (zenon_L168_); trivial. % 11.70/11.89 (* end of lemma zenon_L230_ *) % 11.70/11.89 assert (zenon_L231_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.70/11.89 do 0 intro. intros zenon_H157 zenon_H170 zenon_H68 zenon_Hf5 zenon_Hfa zenon_H5a zenon_H1b1 zenon_H1aa zenon_H189 zenon_H1ac zenon_H1c7 zenon_H186 zenon_H63. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.70/11.89 apply (zenon_L222_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.70/11.89 apply (zenon_L230_); trivial. % 11.70/11.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.70/11.89 exact (zenon_H1c7 zenon_Hd5). % 11.70/11.89 apply (zenon_L216_); trivial. % 11.70/11.89 (* end of lemma zenon_L231_ *) % 11.70/11.89 assert (zenon_L232_ : ((op (e3) (e1)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False). % 11.70/11.89 do 0 intro. intros zenon_Hb5 zenon_H9b zenon_H12e. % 11.70/11.89 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H122 | zenon_intro zenon_H123 ]. % 11.70/11.89 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e1) (e1)) = (op (e3) (e1)))). % 11.70/11.89 intro zenon_D_pnotp. % 11.70/11.89 apply zenon_H12e. % 11.70/11.89 rewrite <- zenon_D_pnotp. % 11.70/11.89 exact zenon_H122. % 11.70/11.89 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 11.70/11.89 cut (((op (e3) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 11.70/11.90 congruence. % 11.70/11.90 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e1) (e1)))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H12f. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_Hb5. % 11.70/11.90 cut (((e3) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Haa]. % 11.70/11.90 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 11.70/11.90 congruence. % 11.70/11.90 apply zenon_H123. apply refl_equal. % 11.70/11.90 apply zenon_Haa. apply sym_equal. exact zenon_H9b. % 11.70/11.90 apply zenon_H123. apply refl_equal. % 11.70/11.90 apply zenon_H123. apply refl_equal. % 11.70/11.90 (* end of lemma zenon_L232_ *) % 11.70/11.90 assert (zenon_L233_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.70/11.90 do 0 intro. intros zenon_H1e5 zenon_H28 zenon_H3c zenon_H43 zenon_Hf5 zenon_H5a zenon_H1b1 zenon_H1aa zenon_Haf zenon_H1ac zenon_H49 zenon_Hb1 zenon_H12e zenon_H2a zenon_H168 zenon_H8d zenon_Hb5. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.70/11.90 apply (zenon_L11_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.70/11.90 apply (zenon_L92_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.70/11.90 apply (zenon_L96_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.70/11.90 apply (zenon_L232_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.70/11.90 apply (zenon_L191_); trivial. % 11.70/11.90 apply (zenon_L230_); trivial. % 11.70/11.90 apply (zenon_L226_); trivial. % 11.70/11.90 (* end of lemma zenon_L233_ *) % 11.70/11.90 assert (zenon_L234_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((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) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H1e8 zenon_H1bd zenon_H2f zenon_H132 zenon_H43 zenon_H1e9 zenon_H130 zenon_Hb5 zenon_H12e zenon_Hc7 zenon_H7e zenon_H1e5 zenon_Hf5 zenon_H1b1 zenon_H1aa zenon_Haf zenon_H1ac zenon_Hb1 zenon_H168 zenon_H8d zenon_Hca zenon_H59 zenon_H6a zenon_H6b zenon_H4a zenon_H49 zenon_H5a zenon_H5f zenon_H28. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.70/11.90 apply (zenon_L183_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.70/11.90 exact (zenon_H6b zenon_H6d). % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.70/11.90 apply (zenon_L233_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.70/11.90 apply (zenon_L53_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.70/11.90 apply (zenon_L54_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H12c | zenon_intro zenon_H133 ]. % 11.70/11.90 apply (zenon_L92_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H44 | zenon_intro zenon_H134 ]. % 11.70/11.90 exact (zenon_H1e9 zenon_H44). % 11.70/11.90 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H99 | zenon_intro zenon_H9b ]. % 11.70/11.90 apply (zenon_L94_); trivial. % 11.70/11.90 apply (zenon_L232_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.70/11.90 apply (zenon_L48_); trivial. % 11.70/11.90 apply (zenon_L29_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.70/11.90 apply (zenon_L20_); trivial. % 11.70/11.90 apply (zenon_L190_); trivial. % 11.70/11.90 (* end of lemma zenon_L234_ *) % 11.70/11.90 assert (zenon_L235_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> False). % 11.70/11.90 do 0 intro. intros zenon_Hca zenon_Hb4 zenon_H8d zenon_Hb1 zenon_Hc3 zenon_H28 zenon_H78 zenon_H49 zenon_H7e zenon_Hc7 zenon_H5a zenon_H1d zenon_H59 zenon_H2f zenon_H5f. % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.70/11.90 apply (zenon_L52_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.70/11.90 apply (zenon_L11_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.70/11.90 apply (zenon_L221_); trivial. % 11.70/11.90 apply (zenon_L55_); trivial. % 11.70/11.90 (* end of lemma zenon_L235_ *) % 11.70/11.90 assert (zenon_L236_ : ((op (e3) (e1)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False). % 11.70/11.90 do 0 intro. intros zenon_Hb8 zenon_H3c zenon_H17a. % 11.70/11.90 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H122 | zenon_intro zenon_H123 ]. % 11.70/11.90 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e0) (e1)) = (op (e3) (e1)))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H17a. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_H122. % 11.70/11.90 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 11.70/11.90 cut (((op (e3) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H17b]. % 11.70/11.90 congruence. % 11.70/11.90 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e0) (e1)))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H17b. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_Hb8. % 11.70/11.90 cut (((e1) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1ec]. % 11.70/11.90 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 11.70/11.90 congruence. % 11.70/11.90 apply zenon_H123. apply refl_equal. % 11.70/11.90 apply zenon_H1ec. apply sym_equal. exact zenon_H3c. % 11.70/11.90 apply zenon_H123. apply refl_equal. % 11.70/11.90 apply zenon_H123. apply refl_equal. % 11.70/11.90 (* end of lemma zenon_L236_ *) % 11.70/11.90 assert (zenon_L237_ : ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H51 zenon_H63 zenon_Hf7. % 11.70/11.90 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H53 | zenon_intro zenon_H54 ]. % 11.70/11.90 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e0) (e3)) = (op (e1) (e3)))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_Hf7. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_H53. % 11.70/11.90 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 11.70/11.90 cut (((op (e1) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1ed]. % 11.70/11.90 congruence. % 11.70/11.90 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e0) (e3)))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H1ed. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_H51. % 11.70/11.90 cut (((e1) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 11.70/11.90 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 11.70/11.90 congruence. % 11.70/11.90 apply zenon_H54. apply refl_equal. % 11.70/11.90 apply zenon_H64. apply sym_equal. exact zenon_H63. % 11.70/11.90 apply zenon_H54. apply refl_equal. % 11.70/11.90 apply zenon_H54. apply refl_equal. % 11.70/11.90 (* end of lemma zenon_L237_ *) % 11.70/11.90 assert (zenon_L238_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H56 zenon_H7e zenon_Hb1 zenon_H8d zenon_Hb4 zenon_Hc3 zenon_H59 zenon_H5f zenon_H17a zenon_H28 zenon_H2f zenon_Hf7 zenon_Hca. % 11.70/11.90 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H51. zenon_intro zenon_H57. % 11.70/11.90 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Hb8. zenon_intro zenon_H42. % 11.70/11.90 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.70/11.90 exact (zenon_H6b zenon_H6d). % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.70/11.90 apply (zenon_L236_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.70/11.90 apply (zenon_L53_); trivial. % 11.70/11.90 apply (zenon_L237_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.70/11.90 apply (zenon_L52_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.70/11.90 apply (zenon_L236_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.70/11.90 apply (zenon_L53_); trivial. % 11.70/11.90 apply (zenon_L237_); trivial. % 11.70/11.90 (* end of lemma zenon_L238_ *) % 11.70/11.90 assert (zenon_L239_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H1ee zenon_H2f zenon_H59. % 11.70/11.90 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H5a. zenon_intro zenon_H1ef. % 11.70/11.90 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H5e. zenon_intro zenon_H11d. % 11.70/11.90 apply (zenon_L48_); trivial. % 11.70/11.90 (* end of lemma zenon_L239_ *) % 11.70/11.90 assert (zenon_L240_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> False). % 11.70/11.90 do 0 intro. intros zenon_H1f0 zenon_H84 zenon_H5a. % 11.70/11.90 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H85. zenon_intro zenon_H1f1. % 11.70/11.90 apply (zenon_L32_); trivial. % 11.70/11.90 (* end of lemma zenon_L240_ *) % 11.70/11.90 assert (zenon_L241_ : (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> False). % 11.70/11.90 do 0 intro. intros zenon_H1f2 zenon_H163 zenon_H5a. % 11.70/11.90 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H10c. zenon_intro zenon_H1f3. % 11.70/11.90 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H10c. zenon_intro zenon_H11d. % 11.70/11.90 apply (zenon_L113_); trivial. % 11.70/11.90 (* end of lemma zenon_L241_ *) % 11.70/11.90 assert (zenon_L242_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H11b zenon_H5a zenon_H1b1. % 11.70/11.90 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H117. zenon_intro zenon_H11c. % 11.70/11.90 apply (zenon_L229_); trivial. % 11.70/11.90 (* end of lemma zenon_L242_ *) % 11.70/11.90 assert (zenon_L243_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> False). % 11.70/11.90 do 0 intro. intros zenon_H186 zenon_Hc0 zenon_H106. % 11.70/11.90 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e2) (e3)))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H186. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_Hc0. % 11.70/11.90 cut (((e3) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1f4]. % 11.70/11.90 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.70/11.90 congruence. % 11.70/11.90 apply zenon_H36. apply refl_equal. % 11.70/11.90 apply zenon_H1f4. apply sym_equal. exact zenon_H106. % 11.70/11.90 (* end of lemma zenon_L243_ *) % 11.70/11.90 assert (zenon_L244_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.70/11.90 do 0 intro. intros zenon_H1d0 zenon_Hb4 zenon_H5a zenon_Hb1 zenon_Haf zenon_He7 zenon_H186 zenon_Hc0. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.70/11.90 apply (zenon_L124_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.70/11.90 apply (zenon_L42_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.70/11.90 exact (zenon_He7 zenon_He0). % 11.70/11.90 apply (zenon_L243_); trivial. % 11.70/11.90 (* end of lemma zenon_L244_ *) % 11.70/11.90 assert (zenon_L245_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e1)) -> False). % 11.70/11.90 do 0 intro. intros zenon_H1f5 zenon_Hd5. % 11.70/11.90 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1c7]. % 11.70/11.90 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.70/11.90 congruence. % 11.70/11.90 apply zenon_H58. apply refl_equal. % 11.70/11.90 exact (zenon_H1c7 zenon_Hd5). % 11.70/11.90 (* end of lemma zenon_L245_ *) % 11.70/11.90 assert (zenon_L246_ : ((op (e2) (e1)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> (~((e3) = (op (e2) (op (e2) (e2))))) -> False). % 11.70/11.90 do 0 intro. intros zenon_Hb0 zenon_Hd5 zenon_H18d. % 11.70/11.90 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Hea | zenon_intro zenon_Heb ]. % 11.70/11.90 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e3) = (op (e2) (op (e2) (e2))))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H18d. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_Hea. % 11.70/11.90 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 11.70/11.90 cut (((op (e2) (op (e2) (e2))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H18e]. % 11.70/11.90 congruence. % 11.70/11.90 cut (((op (e2) (e1)) = (e3)) = ((op (e2) (op (e2) (e2))) = (e3))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H18e. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_Hb0. % 11.70/11.90 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.70/11.90 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1f6]. % 11.70/11.90 congruence. % 11.70/11.90 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Hea | zenon_intro zenon_Heb ]. % 11.70/11.90 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e2))))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H1f6. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_Hea. % 11.70/11.90 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 11.70/11.90 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1f5]. % 11.70/11.90 congruence. % 11.70/11.90 apply (zenon_L245_); trivial. % 11.70/11.90 apply zenon_Heb. apply refl_equal. % 11.70/11.90 apply zenon_Heb. apply refl_equal. % 11.70/11.90 apply zenon_H8f. apply refl_equal. % 11.70/11.90 apply zenon_Heb. apply refl_equal. % 11.70/11.90 apply zenon_Heb. apply refl_equal. % 11.70/11.90 (* end of lemma zenon_L246_ *) % 11.70/11.90 assert (zenon_L247_ : ((op (e3) (e1)) = (e0)) -> ((op (e2) (e1)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> False). % 11.70/11.90 do 0 intro. intros zenon_H1e2 zenon_Hb0 zenon_Hd5. % 11.70/11.90 apply (zenon_notand_s _ _ ax9); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f7 ]. % 11.70/11.90 elim (classic ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf1 ]. % 11.70/11.90 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) = ((e0) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_Hef. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_Hf0. % 11.70/11.90 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 11.70/11.90 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 11.70/11.90 congruence. % 11.70/11.90 cut (((op (e3) (e1)) = (e0)) = ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (e0))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_Hf2. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_H1e2. % 11.70/11.90 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.70/11.90 cut (((op (e3) (e1)) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1f8]. % 11.70/11.90 congruence. % 11.70/11.90 elim (classic ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf1 ]. % 11.70/11.90 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) = ((op (e3) (e1)) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H1f8. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_Hf0. % 11.70/11.90 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 11.70/11.90 cut (((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1f9]. % 11.70/11.90 congruence. % 11.70/11.90 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1c7]. % 11.70/11.90 cut (((op (e2) (op (e2) (e2))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H18e]. % 11.70/11.90 congruence. % 11.70/11.90 cut (((op (e2) (e1)) = (e3)) = ((op (e2) (op (e2) (e2))) = (e3))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H18e. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_Hb0. % 11.70/11.90 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.70/11.90 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1f6]. % 11.70/11.90 congruence. % 11.70/11.90 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_Hea | zenon_intro zenon_Heb ]. % 11.70/11.90 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e2))))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H1f6. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_Hea. % 11.70/11.90 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 11.70/11.90 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1f5]. % 11.70/11.90 congruence. % 11.70/11.90 apply (zenon_L245_); trivial. % 11.70/11.90 apply zenon_Heb. apply refl_equal. % 11.70/11.90 apply zenon_Heb. apply refl_equal. % 11.70/11.90 apply zenon_H8f. apply refl_equal. % 11.70/11.90 exact (zenon_H1c7 zenon_Hd5). % 11.70/11.90 apply zenon_Hf1. apply refl_equal. % 11.70/11.90 apply zenon_Hf1. apply refl_equal. % 11.70/11.90 apply zenon_H3b. apply refl_equal. % 11.70/11.90 apply zenon_Hf1. apply refl_equal. % 11.70/11.90 apply zenon_Hf1. apply refl_equal. % 11.70/11.90 apply (zenon_notand_s _ _ zenon_H1f7); [ zenon_intro zenon_H18d | zenon_intro zenon_Hd6 ]. % 11.70/11.90 apply (zenon_L246_); trivial. % 11.70/11.90 apply zenon_Hd6. apply sym_equal. exact zenon_Hd5. % 11.70/11.90 (* end of lemma zenon_L247_ *) % 11.70/11.90 assert (zenon_L248_ : (((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 (e2) (e2)) = (e1)) -> ((op (e3) (e1)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.70/11.90 do 0 intro. intros zenon_H1d0 zenon_H170 zenon_Hd9 zenon_Hd5 zenon_H1e2 zenon_He7 zenon_H186 zenon_Hc0. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.70/11.90 apply (zenon_L114_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.70/11.90 apply (zenon_L247_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.70/11.90 exact (zenon_He7 zenon_He0). % 11.70/11.90 apply (zenon_L243_); trivial. % 11.70/11.90 (* end of lemma zenon_L248_ *) % 11.70/11.90 assert (zenon_L249_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False). % 11.70/11.90 do 0 intro. intros zenon_H17a zenon_H75 zenon_Hb6. % 11.70/11.90 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e3) (e1)))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H17a. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_H75. % 11.70/11.90 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1fa]. % 11.70/11.90 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 11.70/11.90 congruence. % 11.70/11.90 apply zenon_H21. apply refl_equal. % 11.70/11.90 apply zenon_H1fa. apply sym_equal. exact zenon_Hb6. % 11.70/11.90 (* end of lemma zenon_L249_ *) % 11.70/11.90 assert (zenon_L250_ : ((op (e3) (e1)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.70/11.90 do 0 intro. intros zenon_Hb5 zenon_Hb0 zenon_H1a4. % 11.70/11.90 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H122 | zenon_intro zenon_H123 ]. % 11.70/11.90 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e2) (e1)) = (op (e3) (e1)))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H1a4. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_H122. % 11.70/11.90 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 11.70/11.90 cut (((op (e3) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a5]. % 11.70/11.90 congruence. % 11.70/11.90 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e2) (e1)))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H1a5. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_Hb5. % 11.70/11.90 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1e1]. % 11.70/11.90 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 11.70/11.90 congruence. % 11.70/11.90 apply zenon_H123. apply refl_equal. % 11.70/11.90 apply zenon_H1e1. apply sym_equal. exact zenon_Hb0. % 11.70/11.90 apply zenon_H123. apply refl_equal. % 11.70/11.90 apply zenon_H123. apply refl_equal. % 11.70/11.90 (* end of lemma zenon_L250_ *) % 11.70/11.90 assert (zenon_L251_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e2)) = (e1)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H1fb zenon_Hc0 zenon_H186 zenon_He7 zenon_Hd5 zenon_Hd9 zenon_H170 zenon_H1d0 zenon_H12e zenon_H44 zenon_H75 zenon_H17a zenon_Hb0 zenon_H1a4. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fc ]. % 11.70/11.90 apply (zenon_L248_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1fd ]. % 11.70/11.90 apply (zenon_L93_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ]. % 11.70/11.90 apply (zenon_L249_); trivial. % 11.70/11.90 apply (zenon_L250_); trivial. % 11.70/11.90 (* end of lemma zenon_L251_ *) % 11.70/11.90 assert (zenon_L252_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e1)) -> False). % 11.70/11.90 do 0 intro. intros zenon_H1d0 zenon_Hb4 zenon_H5a zenon_H8c zenon_Hcd zenon_He7 zenon_Hb1 zenon_He8. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.70/11.90 apply (zenon_L124_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.70/11.90 apply (zenon_L225_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.70/11.90 exact (zenon_He7 zenon_He0). % 11.70/11.90 apply (zenon_L75_); trivial. % 11.70/11.90 (* end of lemma zenon_L252_ *) % 11.70/11.90 assert (zenon_L253_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H157 zenon_H5f zenon_Hc0 zenon_H186 zenon_H1fb zenon_Hd9 zenon_H170 zenon_H12e zenon_H44 zenon_H75 zenon_H17a zenon_H1a4 zenon_H1d0 zenon_Hb4 zenon_H5a zenon_H8c zenon_Hcd zenon_He7 zenon_Hb1. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.70/11.90 apply (zenon_L23_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.70/11.90 apply (zenon_L244_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.70/11.90 apply (zenon_L124_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.70/11.90 apply (zenon_L251_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.70/11.90 exact (zenon_He7 zenon_He0). % 11.70/11.90 apply (zenon_L243_); trivial. % 11.70/11.90 apply (zenon_L252_); trivial. % 11.70/11.90 (* end of lemma zenon_L253_ *) % 11.70/11.90 assert (zenon_L254_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H1c6 zenon_H2f zenon_Hd4 zenon_H1a4 zenon_Hb0 zenon_H17a zenon_H75 zenon_H44 zenon_H12e zenon_H1d0 zenon_H170 zenon_Hd9 zenon_H186 zenon_Hc0 zenon_H1fb zenon_H5a zenon_H163 zenon_He7. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c8 ]. % 11.70/11.90 apply (zenon_L195_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H1c9 ]. % 11.70/11.90 apply (zenon_L251_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10c | zenon_intro zenon_He0 ]. % 11.70/11.90 apply (zenon_L113_); trivial. % 11.70/11.90 exact (zenon_He7 zenon_He0). % 11.70/11.90 (* end of lemma zenon_L254_ *) % 11.70/11.90 assert (zenon_L255_ : (((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))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.70/11.90 do 0 intro. intros zenon_H168 zenon_H176 zenon_Hd9 zenon_H9c zenon_Hb1 zenon_H49 zenon_Hf7 zenon_Hc0. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.70/11.90 apply (zenon_L119_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.70/11.90 exact (zenon_H9c zenon_H9b). % 11.70/11.90 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.70/11.90 apply (zenon_L191_); trivial. % 11.70/11.90 apply (zenon_L111_); trivial. % 11.70/11.90 (* end of lemma zenon_L255_ *) % 11.70/11.90 assert (zenon_L256_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H1b9 zenon_H1dc zenon_H176 zenon_Hd9 zenon_Hb1 zenon_H49 zenon_Hf7 zenon_Hc0 zenon_H168. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9c | zenon_intro zenon_H51 ]. % 11.70/11.90 apply (zenon_L255_); trivial. % 11.70/11.90 apply (zenon_L219_); trivial. % 11.70/11.90 (* end of lemma zenon_L256_ *) % 11.70/11.90 assert (zenon_L257_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H126 zenon_H1dc zenon_H176 zenon_Hb1 zenon_H49 zenon_Hf7 zenon_H168. % 11.70/11.90 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hd9. zenon_intro zenon_H127. % 11.70/11.90 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hc0. zenon_intro zenon_H1b0. % 11.70/11.90 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.70/11.90 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1b9. zenon_intro zenon_H1bc. % 11.70/11.90 apply (zenon_L256_); trivial. % 11.70/11.90 (* end of lemma zenon_L257_ *) % 11.70/11.90 assert (zenon_L258_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H7e zenon_Hc7 zenon_H5a zenon_H5f zenon_H59 zenon_Hc3 zenon_Hbd zenon_Hb1 zenon_H3c zenon_H8d zenon_H2f zenon_Hb4. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.70/11.90 apply (zenon_L54_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.70/11.90 apply (zenon_L189_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.70/11.90 apply (zenon_L48_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.70/11.90 exact (zenon_Hbd zenon_Hbc). % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.70/11.90 apply (zenon_L210_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.70/11.90 apply (zenon_L50_); trivial. % 11.70/11.90 apply (zenon_L51_); trivial. % 11.70/11.90 (* end of lemma zenon_L258_ *) % 11.70/11.90 assert (zenon_L259_ : (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> False). % 11.70/11.90 do 0 intro. intros zenon_H1fe zenon_H44 zenon_H51. % 11.70/11.90 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e1) (e3)))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H1fe. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_H44. % 11.70/11.90 cut (((e1) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1ff]. % 11.70/11.90 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H200]. % 11.70/11.90 congruence. % 11.70/11.90 apply zenon_H200. apply refl_equal. % 11.70/11.90 apply zenon_H1ff. apply sym_equal. exact zenon_H51. % 11.70/11.90 (* end of lemma zenon_L259_ *) % 11.70/11.90 assert (zenon_L260_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H51 zenon_H93 zenon_H5f. % 11.70/11.90 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H58 ]. % 11.70/11.90 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H5f. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_H60. % 11.70/11.90 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.70/11.90 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.70/11.90 congruence. % 11.70/11.90 cut (((op (e1) (e3)) = (e1)) = ((e2) = (e1))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H61. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_H51. % 11.70/11.90 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.70/11.90 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H94]. % 11.70/11.90 congruence. % 11.70/11.90 exact (zenon_H94 zenon_H93). % 11.70/11.90 apply zenon_H27. apply refl_equal. % 11.70/11.90 apply zenon_H58. apply refl_equal. % 11.70/11.90 apply zenon_H58. apply refl_equal. % 11.70/11.90 (* end of lemma zenon_L260_ *) % 11.70/11.90 assert (zenon_L261_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H166 zenon_H2f zenon_H8d zenon_Hbd zenon_Hc3 zenon_Hc7 zenon_H7e zenon_H1fe zenon_He7 zenon_Hb1 zenon_H5a zenon_H1d0 zenon_H95 zenon_H59 zenon_H2a zenon_H75 zenon_H130 zenon_Hc0 zenon_H186 zenon_H196 zenon_Hf5 zenon_H1aa zenon_H189 zenon_H1ac zenon_H115 zenon_Hb4 zenon_Hd9 zenon_H15a zenon_H51 zenon_H5f. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.70/11.90 apply (zenon_L258_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.70/11.90 apply (zenon_L259_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.70/11.90 apply (zenon_L244_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.70/11.90 apply (zenon_L128_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.70/11.90 apply (zenon_L94_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.70/11.90 apply (zenon_L149_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.70/11.90 apply (zenon_L45_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.70/11.90 apply (zenon_L83_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H1ad ]. % 11.70/11.90 apply (zenon_L166_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_He8 | zenon_intro zenon_H1ae ]. % 11.70/11.90 apply (zenon_L70_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H117 | zenon_intro zenon_H106 ]. % 11.70/11.90 apply (zenon_L141_); trivial. % 11.70/11.90 apply (zenon_L243_); trivial. % 11.70/11.90 apply (zenon_L260_); trivial. % 11.70/11.90 (* end of lemma zenon_L261_ *) % 11.70/11.90 assert (zenon_L262_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> False). % 11.70/11.90 do 0 intro. intros zenon_Hc7 zenon_H6d zenon_H65. % 11.70/11.90 cut (((op (e0) (e0)) = (e1)) = ((op (e0) (e0)) = (op (e2) (e0)))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_Hc7. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_H6d. % 11.70/11.90 cut (((e1) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12b]. % 11.70/11.90 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H138]. % 11.70/11.90 congruence. % 11.70/11.90 apply zenon_H138. apply refl_equal. % 11.70/11.90 apply zenon_H12b. apply sym_equal. exact zenon_H65. % 11.70/11.90 (* end of lemma zenon_L262_ *) % 11.70/11.90 assert (zenon_L263_ : (((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)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H157 zenon_H6d zenon_Hc7 zenon_H17f zenon_H44 zenon_Hc0 zenon_H186 zenon_H1e2 zenon_Hd9 zenon_H170 zenon_H1d0 zenon_Hb4 zenon_H5a zenon_H8c zenon_Hcd zenon_He7 zenon_Hb1. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.70/11.90 apply (zenon_L262_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.70/11.90 apply (zenon_L215_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.70/11.90 apply (zenon_L248_); trivial. % 11.70/11.90 apply (zenon_L252_); trivial. % 11.70/11.90 (* end of lemma zenon_L263_ *) % 11.70/11.90 assert (zenon_L264_ : (~((e0) = (e1))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e0)) -> False). % 11.70/11.90 do 0 intro. intros zenon_H28 zenon_Hb8 zenon_H1e2. % 11.70/11.90 cut (((op (e3) (e1)) = (e1)) = ((e0) = (e1))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H28. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_Hb8. % 11.70/11.90 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.70/11.90 cut (((op (e3) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1e3]. % 11.70/11.90 congruence. % 11.70/11.90 exact (zenon_H1e3 zenon_H1e2). % 11.70/11.90 apply zenon_H27. apply refl_equal. % 11.70/11.90 (* end of lemma zenon_L264_ *) % 11.70/11.90 assert (zenon_L265_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> False). % 11.70/11.90 do 0 intro. intros zenon_H166 zenon_H5f zenon_H75 zenon_H51 zenon_H1fe zenon_Hc0 zenon_H186 zenon_He7 zenon_Hb1 zenon_H5a zenon_Hb4 zenon_H1d0 zenon_H28 zenon_H1e2. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.70/11.90 apply (zenon_L189_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.70/11.90 apply (zenon_L259_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.70/11.90 apply (zenon_L244_); trivial. % 11.70/11.90 apply (zenon_L264_); trivial. % 11.70/11.90 (* end of lemma zenon_L265_ *) % 11.70/11.90 assert (zenon_L266_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H201 zenon_H1b1 zenon_H1bd zenon_H2f zenon_Hca zenon_Hf7 zenon_H5f zenon_H1e5 zenon_H28 zenon_H7e zenon_Hbd zenon_Hb1 zenon_H8d zenon_Hb4 zenon_Hc3 zenon_H5a zenon_Hc7 zenon_H1fe zenon_H51 zenon_H1d0 zenon_Hc0 zenon_H186 zenon_H95 zenon_Hd9 zenon_H115 zenon_H1ac zenon_H196 zenon_Hf5 zenon_H1aa zenon_H15a zenon_H130 zenon_H166 zenon_H43 zenon_H59 zenon_H1e8. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_He7 | zenon_intro zenon_H117 ]. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.70/11.90 apply (zenon_L183_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.70/11.90 apply (zenon_L47_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.70/11.90 apply (zenon_L27_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.70/11.90 apply (zenon_L92_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.70/11.90 apply (zenon_L261_); trivial. % 11.70/11.90 apply (zenon_L265_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.70/11.90 apply (zenon_L48_); trivial. % 11.70/11.90 apply (zenon_L51_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.70/11.90 apply (zenon_L258_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.70/11.90 apply (zenon_L53_); trivial. % 11.70/11.90 apply (zenon_L237_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.70/11.90 apply (zenon_L20_); trivial. % 11.70/11.90 apply (zenon_L120_); trivial. % 11.70/11.90 apply (zenon_L229_); trivial. % 11.70/11.90 (* end of lemma zenon_L266_ *) % 11.70/11.90 assert (zenon_L267_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H33 zenon_Hc0 zenon_H8d. % 11.70/11.90 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 11.70/11.90 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H8d. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_H8e. % 11.70/11.90 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.70/11.90 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 11.70/11.90 congruence. % 11.70/11.90 cut (((op (e0) (e3)) = (e0)) = ((e3) = (e0))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H90. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_H33. % 11.70/11.90 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.70/11.90 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hc2]. % 11.70/11.90 congruence. % 11.70/11.90 exact (zenon_Hc2 zenon_Hc0). % 11.70/11.90 apply zenon_H3b. apply refl_equal. % 11.70/11.90 apply zenon_H8f. apply refl_equal. % 11.70/11.90 apply zenon_H8f. apply refl_equal. % 11.70/11.90 (* end of lemma zenon_L267_ *) % 11.70/11.90 assert (zenon_L268_ : (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H126 zenon_H33 zenon_H8d. % 11.70/11.90 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hd9. zenon_intro zenon_H127. % 11.70/11.90 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hc0. zenon_intro zenon_H1b0. % 11.70/11.90 apply (zenon_L267_); trivial. % 11.70/11.90 (* end of lemma zenon_L268_ *) % 11.70/11.90 assert (zenon_L269_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False). % 11.70/11.90 do 0 intro. intros zenon_Hc3 zenon_Hbd zenon_H17a zenon_Hb5 zenon_H8d zenon_H2f zenon_Hf7 zenon_Hfa. % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.70/11.90 exact (zenon_Hbd zenon_Hbc). % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.70/11.90 apply (zenon_L121_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.70/11.90 apply (zenon_L50_); trivial. % 11.70/11.90 apply (zenon_L111_); trivial. % 11.70/11.90 (* end of lemma zenon_L269_ *) % 11.70/11.90 assert (zenon_L270_ : ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H1b6 zenon_H1be zenon_H17a zenon_Hb5 zenon_H8d zenon_H2f zenon_Hf7 zenon_Hfa zenon_Hc3. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H33 ]. % 11.70/11.90 apply (zenon_L269_); trivial. % 11.70/11.90 apply (zenon_L187_); trivial. % 11.70/11.90 (* end of lemma zenon_L270_ *) % 11.70/11.90 assert (zenon_L271_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H17d zenon_H1be zenon_H17a zenon_H8d zenon_H2f zenon_Hf7 zenon_Hc3. % 11.70/11.90 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_Hb5. zenon_intro zenon_H17e. % 11.70/11.90 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Hfa. zenon_intro zenon_H1b0. % 11.70/11.90 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.70/11.90 apply (zenon_L270_); trivial. % 11.70/11.90 (* end of lemma zenon_L271_ *) % 11.70/11.90 assert (zenon_L272_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H19f zenon_Hbd zenon_H8d zenon_H2a zenon_H1b1 zenon_H106 zenon_H1b3 zenon_H155. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hbc | zenon_intro zenon_H1a0 ]. % 11.70/11.90 exact (zenon_Hbd zenon_Hbc). % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H135 | zenon_intro zenon_H1a1 ]. % 11.70/11.90 apply (zenon_L96_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd9 ]. % 11.70/11.90 apply (zenon_L174_); trivial. % 11.70/11.90 apply (zenon_L175_); trivial. % 11.70/11.90 (* end of lemma zenon_L272_ *) % 11.70/11.90 assert (zenon_L273_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False). % 11.70/11.90 do 0 intro. intros zenon_H121 zenon_H67 zenon_H1e2. % 11.70/11.90 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e1)))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H121. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_H67. % 11.70/11.90 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H202]. % 11.70/11.90 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.70/11.90 congruence. % 11.70/11.90 apply zenon_Hae. apply refl_equal. % 11.70/11.90 apply zenon_H202. apply sym_equal. exact zenon_H1e2. % 11.70/11.90 (* end of lemma zenon_L273_ *) % 11.70/11.90 assert (zenon_L274_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H1fb zenon_H67 zenon_H121 zenon_H12e zenon_H44 zenon_H75 zenon_H8c zenon_H17a. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fc ]. % 11.70/11.90 apply (zenon_L273_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1fd ]. % 11.70/11.90 apply (zenon_L93_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ]. % 11.70/11.90 apply (zenon_L249_); trivial. % 11.70/11.90 apply (zenon_L121_); trivial. % 11.70/11.90 (* end of lemma zenon_L274_ *) % 11.70/11.90 assert (zenon_L275_ : (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> False). % 11.70/11.90 do 0 intro. intros zenon_Hb4 zenon_Hdf zenon_H114. % 11.70/11.90 cut (((op (e3) (e2)) = (e3)) = ((e2) = (e3))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_Hb4. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_Hdf. % 11.70/11.90 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.70/11.90 cut (((op (e3) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H203]. % 11.70/11.90 congruence. % 11.70/11.90 exact (zenon_H203 zenon_H114). % 11.70/11.90 apply zenon_H8f. apply refl_equal. % 11.70/11.90 (* end of lemma zenon_L275_ *) % 11.70/11.90 assert (zenon_L276_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.70/11.90 do 0 intro. intros zenon_H1ca zenon_H59 zenon_H2f zenon_H5f zenon_H49 zenon_H5a zenon_H163 zenon_Hb4 zenon_Hdf. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.70/11.90 apply (zenon_L48_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.70/11.90 apply (zenon_L224_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.70/11.90 apply (zenon_L113_); trivial. % 11.70/11.90 apply (zenon_L275_); trivial. % 11.70/11.90 (* end of lemma zenon_L276_ *) % 11.70/11.90 assert (zenon_L277_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.70/11.90 do 0 intro. intros zenon_H204 zenon_H1be zenon_H2f zenon_H51 zenon_H28 zenon_H106 zenon_H8d zenon_Hab zenon_H67. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H33 | zenon_intro zenon_H205 ]. % 11.70/11.90 apply (zenon_L187_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H92 | zenon_intro zenon_H206 ]. % 11.70/11.90 apply (zenon_L196_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hac ]. % 11.70/11.90 apply (zenon_L208_); trivial. % 11.70/11.90 apply (zenon_L41_); trivial. % 11.70/11.90 (* end of lemma zenon_L277_ *) % 11.70/11.90 assert (zenon_L278_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.70/11.90 do 0 intro. intros zenon_H1d0 zenon_Hb4 zenon_H5a zenon_H8c zenon_Hcd zenon_He7 zenon_H204 zenon_H1be zenon_H2f zenon_H51 zenon_H28 zenon_H8d zenon_Hab zenon_H67. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.70/11.90 apply (zenon_L124_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.70/11.90 apply (zenon_L225_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.70/11.90 exact (zenon_He7 zenon_He0). % 11.70/11.90 apply (zenon_L277_); trivial. % 11.70/11.90 (* end of lemma zenon_L278_ *) % 11.70/11.90 assert (zenon_L279_ : (((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)))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.70/11.90 do 0 intro. intros zenon_H19f zenon_Hbd zenon_Hab zenon_H28 zenon_H2f zenon_H1be zenon_H204 zenon_He7 zenon_Hcd zenon_H8c zenon_H1d0 zenon_H1ca zenon_H59 zenon_H5f zenon_H163 zenon_Hdf zenon_H1fb zenon_H121 zenon_H12e zenon_H75 zenon_H17a zenon_Hb1 zenon_H207 zenon_Hb4 zenon_H5a zenon_H8d zenon_H67. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hbc | zenon_intro zenon_H1a0 ]. % 11.70/11.90 exact (zenon_Hbd zenon_Hbc). % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H135 | zenon_intro zenon_H1a1 ]. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H29 | zenon_intro zenon_H208 ]. % 11.70/11.90 apply (zenon_L126_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H44 | zenon_intro zenon_H209 ]. % 11.70/11.90 apply (zenon_L274_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H49 | zenon_intro zenon_H51 ]. % 11.70/11.90 apply (zenon_L276_); trivial. % 11.70/11.90 apply (zenon_L278_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd9 ]. % 11.70/11.90 apply (zenon_L124_); trivial. % 11.70/11.90 apply (zenon_L120_); trivial. % 11.70/11.90 (* end of lemma zenon_L279_ *) % 11.70/11.90 assert (zenon_L280_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False). % 11.70/11.90 do 0 intro. intros zenon_Hc3 zenon_H67 zenon_H5a zenon_Hb4 zenon_H207 zenon_Hb1 zenon_H17a zenon_H75 zenon_H12e zenon_H121 zenon_H1fb zenon_Hdf zenon_H163 zenon_H5f zenon_H59 zenon_H1ca zenon_H1d0 zenon_Hcd zenon_He7 zenon_H204 zenon_H1be zenon_H28 zenon_Hab zenon_Hbd zenon_H19f zenon_H8d zenon_H2f zenon_H186 zenon_H106. % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.70/11.90 exact (zenon_Hbd zenon_Hbc). % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.70/11.90 apply (zenon_L279_); trivial. % 11.70/11.90 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.70/11.90 apply (zenon_L50_); trivial. % 11.70/11.90 apply (zenon_L243_); trivial. % 11.70/11.90 (* end of lemma zenon_L280_ *) % 11.70/11.90 assert (zenon_L281_ : ((op (e3) (e0)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False). % 11.70/11.90 do 0 intro. intros zenon_H67 zenon_H5b zenon_H170. % 11.70/11.90 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hae ]. % 11.70/11.90 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e2) (e0)) = (op (e3) (e0)))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H170. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_Hdb. % 11.70/11.90 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.70/11.90 cut (((op (e3) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H171]. % 11.70/11.90 congruence. % 11.70/11.90 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e2) (e0)))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H171. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_H67. % 11.70/11.90 cut (((e0) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H20a]. % 11.70/11.90 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.70/11.90 congruence. % 11.70/11.90 apply zenon_Hae. apply refl_equal. % 11.70/11.90 apply zenon_H20a. apply sym_equal. exact zenon_H5b. % 11.70/11.90 apply zenon_Hae. apply refl_equal. % 11.70/11.90 apply zenon_Hae. apply refl_equal. % 11.70/11.90 (* end of lemma zenon_L281_ *) % 11.70/11.90 assert (zenon_L282_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e1)) -> False). % 11.70/11.90 do 0 intro. intros zenon_H20b zenon_H198. % 11.70/11.90 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1c3]. % 11.70/11.90 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.70/11.90 congruence. % 11.70/11.90 apply zenon_H8f. apply refl_equal. % 11.70/11.90 exact (zenon_H1c3 zenon_H198). % 11.70/11.90 (* end of lemma zenon_L282_ *) % 11.70/11.90 assert (zenon_L283_ : ((op (e3) (e1)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> (~((e2) = (op (e3) (op (e3) (e3))))) -> False). % 11.70/11.90 do 0 intro. intros zenon_Hb6 zenon_H198 zenon_H20c. % 11.70/11.90 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H148 | zenon_intro zenon_H149 ]. % 11.70/11.90 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e2) = (op (e3) (op (e3) (e3))))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H20c. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_H148. % 11.70/11.90 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 11.70/11.90 cut (((op (e3) (op (e3) (e3))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H20d]. % 11.70/11.90 congruence. % 11.70/11.90 cut (((op (e3) (e1)) = (e2)) = ((op (e3) (op (e3) (e3))) = (e2))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H20d. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_Hb6. % 11.70/11.90 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.70/11.90 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H20e]. % 11.70/11.90 congruence. % 11.70/11.90 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H148 | zenon_intro zenon_H149 ]. % 11.70/11.90 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e3))))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H20e. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_H148. % 11.70/11.90 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 11.70/11.90 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H20b]. % 11.70/11.90 congruence. % 11.70/11.90 apply (zenon_L282_); trivial. % 11.70/11.90 apply zenon_H149. apply refl_equal. % 11.70/11.90 apply zenon_H149. apply refl_equal. % 11.70/11.90 apply zenon_H58. apply refl_equal. % 11.70/11.90 apply zenon_H149. apply refl_equal. % 11.70/11.90 apply zenon_H149. apply refl_equal. % 11.70/11.90 (* end of lemma zenon_L283_ *) % 11.70/11.90 assert (zenon_L284_ : ((op (e2) (e1)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> False). % 11.70/11.90 do 0 intro. intros zenon_H189 zenon_Hb6 zenon_H198. % 11.70/11.90 apply (zenon_notand_s _ _ ax11); [ zenon_intro zenon_H14e | zenon_intro zenon_H20f ]. % 11.70/11.90 elim (classic ((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [ zenon_intro zenon_H14f | zenon_intro zenon_H150 ]. % 11.70/11.90 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) = ((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H14e. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_H14f. % 11.70/11.90 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H150]. % 11.70/11.90 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H151]. % 11.70/11.90 congruence. % 11.70/11.90 cut (((op (e2) (e1)) = (e0)) = ((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (e0))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H151. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_H189. % 11.70/11.90 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.70/11.90 cut (((op (e2) (e1)) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H210]. % 11.70/11.90 congruence. % 11.70/11.90 elim (classic ((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [ zenon_intro zenon_H14f | zenon_intro zenon_H150 ]. % 11.70/11.90 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) = ((op (e2) (e1)) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H210. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.90 exact zenon_H14f. % 11.70/11.90 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H150]. % 11.70/11.90 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H211]. % 11.70/11.90 congruence. % 11.70/11.90 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1c3]. % 11.70/11.90 cut (((op (e3) (op (e3) (e3))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H20d]. % 11.70/11.90 congruence. % 11.70/11.90 cut (((op (e3) (e1)) = (e2)) = ((op (e3) (op (e3) (e3))) = (e2))). % 11.70/11.90 intro zenon_D_pnotp. % 11.70/11.90 apply zenon_H20d. % 11.70/11.90 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_Hb6. % 11.70/11.91 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.70/11.91 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H20e]. % 11.70/11.91 congruence. % 11.70/11.91 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H148 | zenon_intro zenon_H149 ]. % 11.70/11.91 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e3))))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_H20e. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_H148. % 11.70/11.91 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 11.70/11.91 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H20b]. % 11.70/11.91 congruence. % 11.70/11.91 apply (zenon_L282_); trivial. % 11.70/11.91 apply zenon_H149. apply refl_equal. % 11.70/11.91 apply zenon_H149. apply refl_equal. % 11.70/11.91 apply zenon_H58. apply refl_equal. % 11.70/11.91 exact (zenon_H1c3 zenon_H198). % 11.70/11.91 apply zenon_H150. apply refl_equal. % 11.70/11.91 apply zenon_H150. apply refl_equal. % 11.70/11.91 apply zenon_H3b. apply refl_equal. % 11.70/11.91 apply zenon_H150. apply refl_equal. % 11.70/11.91 apply zenon_H150. apply refl_equal. % 11.70/11.91 apply (zenon_notand_s _ _ zenon_H20f); [ zenon_intro zenon_H20c | zenon_intro zenon_H199 ]. % 11.70/11.91 apply (zenon_L283_); trivial. % 11.70/11.91 apply zenon_H199. apply sym_equal. exact zenon_H198. % 11.70/11.91 (* end of lemma zenon_L284_ *) % 11.70/11.91 assert (zenon_L285_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> ((op (e2) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H1fb zenon_H67 zenon_H121 zenon_H12e zenon_H44 zenon_H198 zenon_H189 zenon_H8c zenon_H17a. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fc ]. % 11.70/11.91 apply (zenon_L273_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1fd ]. % 11.70/11.91 apply (zenon_L93_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ]. % 11.70/11.91 apply (zenon_L284_); trivial. % 11.70/11.91 apply (zenon_L121_); trivial. % 11.70/11.91 (* end of lemma zenon_L285_ *) % 11.70/11.91 assert (zenon_L286_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H1d0 zenon_Hb4 zenon_H5a zenon_Hcd zenon_He7 zenon_H1c2 zenon_H5f zenon_H7c zenon_Hab zenon_H8d zenon_H28 zenon_H2f zenon_H1be zenon_H204 zenon_Hb1 zenon_H1fb zenon_H67 zenon_H121 zenon_H12e zenon_H44 zenon_H189 zenon_H8c zenon_H17a. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.70/11.91 apply (zenon_L124_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.70/11.91 apply (zenon_L225_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.70/11.91 exact (zenon_He7 zenon_He0). % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H63 | zenon_intro zenon_H1c4 ]. % 11.70/11.91 apply (zenon_L29_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H51 | zenon_intro zenon_H1c5 ]. % 11.70/11.91 apply (zenon_L277_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_He8 | zenon_intro zenon_H198 ]. % 11.70/11.91 apply (zenon_L75_); trivial. % 11.70/11.91 apply (zenon_L285_); trivial. % 11.70/11.91 (* end of lemma zenon_L286_ *) % 11.70/11.91 assert (zenon_L287_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e0)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H1d0 zenon_Hb4 zenon_H5a zenon_H8c zenon_Hcd zenon_He7 zenon_H8d zenon_Ha2. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.70/11.91 apply (zenon_L124_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.70/11.91 apply (zenon_L225_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.70/11.91 exact (zenon_He7 zenon_He0). % 11.70/11.91 apply (zenon_L208_); trivial. % 11.70/11.91 (* end of lemma zenon_L287_ *) % 11.70/11.91 assert (zenon_L288_ : (((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)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H19e zenon_H170 zenon_H17a zenon_H44 zenon_H12e zenon_H121 zenon_H67 zenon_H1fb zenon_Hb1 zenon_H204 zenon_H1be zenon_H28 zenon_Hab zenon_H7c zenon_H5f zenon_H1c2 zenon_H2f zenon_Hd4 zenon_H1d0 zenon_Hb4 zenon_H5a zenon_H8c zenon_Hcd zenon_He7 zenon_H8d. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.70/11.91 apply (zenon_L281_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.70/11.91 apply (zenon_L286_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.70/11.91 apply (zenon_L195_); trivial. % 11.70/11.91 apply (zenon_L287_); trivial. % 11.70/11.91 (* end of lemma zenon_L288_ *) % 11.70/11.91 assert (zenon_L289_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H1e8 zenon_H1bd zenon_H155 zenon_H1b3 zenon_H1b1 zenon_Hbd zenon_H19f zenon_H5a zenon_H59 zenon_H204 zenon_H1be zenon_H2f zenon_H51 zenon_H28 zenon_H106 zenon_H8d zenon_Hab. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.70/11.91 apply (zenon_L183_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.70/11.91 apply (zenon_L272_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.70/11.91 apply (zenon_L20_); trivial. % 11.70/11.91 apply (zenon_L277_); trivial. % 11.70/11.91 (* end of lemma zenon_L289_ *) % 11.70/11.91 assert (zenon_L290_ : ((op (e3) (e2)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False). % 11.70/11.91 do 0 intro. intros zenon_Hdf zenon_Hbe zenon_H212. % 11.70/11.91 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_He2 | zenon_intro zenon_He3 ]. % 11.70/11.91 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e0) (e2)) = (op (e3) (e2)))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_H212. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_He2. % 11.70/11.91 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 11.70/11.91 cut (((op (e3) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H213]. % 11.70/11.91 congruence. % 11.70/11.91 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e0) (e2)))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_H213. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_Hdf. % 11.70/11.91 cut (((e3) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H214]. % 11.70/11.91 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 11.70/11.91 congruence. % 11.70/11.91 apply zenon_He3. apply refl_equal. % 11.70/11.91 apply zenon_H214. apply sym_equal. exact zenon_Hbe. % 11.70/11.91 apply zenon_He3. apply refl_equal. % 11.70/11.91 apply zenon_He3. apply refl_equal. % 11.70/11.91 (* end of lemma zenon_L290_ *) % 11.70/11.91 assert (zenon_L291_ : (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (e3)) = (e0)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H215 zenon_H1e zenon_H33. % 11.70/11.91 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e0) (e3)))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_H215. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_H1e. % 11.70/11.91 cut (((e0) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H216]. % 11.70/11.91 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H138]. % 11.70/11.91 congruence. % 11.70/11.91 apply zenon_H138. apply refl_equal. % 11.70/11.91 apply zenon_H216. apply sym_equal. exact zenon_H33. % 11.70/11.91 (* end of lemma zenon_L291_ *) % 11.70/11.91 assert (zenon_L292_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H92 zenon_H14c zenon_H1dc. % 11.70/11.91 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H53 | zenon_intro zenon_H54 ]. % 11.70/11.91 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e2)) = (op (e1) (e3)))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_H1dc. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_H53. % 11.70/11.91 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 11.70/11.91 cut (((op (e1) (e3)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1dd]. % 11.70/11.91 congruence. % 11.70/11.91 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (e3)) = (op (e1) (e2)))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_H1dd. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_H92. % 11.70/11.91 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H181]. % 11.70/11.91 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 11.70/11.91 congruence. % 11.70/11.91 apply zenon_H54. apply refl_equal. % 11.70/11.91 apply zenon_H181. apply sym_equal. exact zenon_H14c. % 11.70/11.91 apply zenon_H54. apply refl_equal. % 11.70/11.91 apply zenon_H54. apply refl_equal. % 11.70/11.91 (* end of lemma zenon_L292_ *) % 11.70/11.91 assert (zenon_L293_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H204 zenon_H1e zenon_H215 zenon_H1dc zenon_H14c zenon_H117 zenon_H59 zenon_H217. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H33 | zenon_intro zenon_H205 ]. % 11.70/11.91 apply (zenon_L291_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H92 | zenon_intro zenon_H206 ]. % 11.70/11.91 apply (zenon_L292_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hac ]. % 11.70/11.91 apply (zenon_L145_); trivial. % 11.70/11.91 exact (zenon_H217 zenon_Hac). % 11.70/11.91 (* end of lemma zenon_L293_ *) % 11.70/11.91 assert (zenon_L294_ : (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e0)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H8d zenon_Hdf zenon_H13f. % 11.70/11.91 cut (((op (e3) (e2)) = (e3)) = ((e0) = (e3))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_H8d. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_Hdf. % 11.70/11.91 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.70/11.91 cut (((op (e3) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 11.70/11.91 congruence. % 11.70/11.91 exact (zenon_H1a9 zenon_H13f). % 11.70/11.91 apply zenon_H8f. apply refl_equal. % 11.70/11.91 (* end of lemma zenon_L294_ *) % 11.70/11.91 assert (zenon_L295_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H24 zenon_H1b1 zenon_H167 zenon_Hdf zenon_H8d zenon_H215 zenon_H1dc zenon_H59 zenon_H117 zenon_H204 zenon_H1bd zenon_H155. % 11.70/11.91 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H1e. zenon_intro zenon_H25. % 11.70/11.91 apply (zenon_and_s _ _ zenon_H25). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 11.70/11.91 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H219. zenon_intro zenon_H218. % 11.70/11.91 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21b. zenon_intro zenon_H21a. % 11.70/11.91 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21d. zenon_intro zenon_H21c. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H18c | zenon_intro zenon_H5a ]. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H217 | zenon_intro zenon_Hd9 ]. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.70/11.91 apply (zenon_L183_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.70/11.91 apply (zenon_L293_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.70/11.91 exact (zenon_H18c zenon_H164). % 11.70/11.91 apply (zenon_L294_); trivial. % 11.70/11.91 apply (zenon_L105_); trivial. % 11.70/11.91 apply (zenon_L229_); trivial. % 11.70/11.91 (* end of lemma zenon_L295_ *) % 11.70/11.91 assert (zenon_L296_ : (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H176 zenon_H2a zenon_H67. % 11.70/11.91 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e3) (e0)))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_H176. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_H2a. % 11.70/11.91 cut (((e0) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21e]. % 11.70/11.91 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 11.70/11.91 congruence. % 11.70/11.91 apply zenon_H46. apply refl_equal. % 11.70/11.91 apply zenon_H21e. apply sym_equal. exact zenon_H67. % 11.70/11.91 (* end of lemma zenon_L296_ *) % 11.70/11.91 assert (zenon_L297_ : (((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 (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H21f zenon_H1e2 zenon_H121 zenon_H29 zenon_H176 zenon_H81 zenon_Hda zenon_Hdf zenon_H155. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H67 | zenon_intro zenon_H220 ]. % 11.70/11.91 apply (zenon_L273_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H68 | zenon_intro zenon_H221 ]. % 11.70/11.91 apply (zenon_L157_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd9 ]. % 11.70/11.91 apply (zenon_L97_); trivial. % 11.70/11.91 apply (zenon_L105_); trivial. % 11.70/11.91 (* end of lemma zenon_L297_ *) % 11.70/11.91 assert (zenon_L298_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (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 (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H222 zenon_H2a zenon_H155 zenon_Hda zenon_H81 zenon_H176 zenon_H29 zenon_H121 zenon_H21f zenon_Hdf zenon_H8d zenon_H217. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.70/11.91 apply (zenon_L296_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.70/11.91 apply (zenon_L297_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.70/11.91 apply (zenon_L294_); trivial. % 11.70/11.91 exact (zenon_H217 zenon_Hac). % 11.70/11.91 (* end of lemma zenon_L298_ *) % 11.70/11.91 assert (zenon_L299_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H163 zenon_H65 zenon_Hd5. % 11.70/11.91 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (e0)) = (op (e2) (e2)))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_H163. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_H65. % 11.70/11.91 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hd6]. % 11.70/11.91 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 11.70/11.91 congruence. % 11.70/11.91 apply zenon_H72. apply refl_equal. % 11.70/11.91 apply zenon_Hd6. apply sym_equal. exact zenon_Hd5. % 11.70/11.91 (* end of lemma zenon_L299_ *) % 11.70/11.91 assert (zenon_L300_ : ((op (e2) (e3)) = (e2)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H117 zenon_H10c zenon_H225. % 11.70/11.91 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H118 | zenon_intro zenon_H119 ]. % 11.70/11.91 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e2)) = (op (e2) (e3)))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_H225. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_H118. % 11.70/11.91 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 11.70/11.91 cut (((op (e2) (e3)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H226]. % 11.70/11.91 congruence. % 11.70/11.91 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e2) (e2)))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_H226. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_H117. % 11.70/11.91 cut (((e2) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 11.70/11.91 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 11.70/11.91 congruence. % 11.70/11.91 apply zenon_H119. apply refl_equal. % 11.70/11.91 apply zenon_H16f. apply sym_equal. exact zenon_H10c. % 11.70/11.91 apply zenon_H119. apply refl_equal. % 11.70/11.91 apply zenon_H119. apply refl_equal. % 11.70/11.91 (* end of lemma zenon_L300_ *) % 11.70/11.91 assert (zenon_L301_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H1c6 zenon_H18c zenon_H65 zenon_H163 zenon_H225 zenon_H117 zenon_Hdf zenon_He1. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c8 ]. % 11.70/11.91 exact (zenon_H18c zenon_H164). % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H1c9 ]. % 11.70/11.91 apply (zenon_L299_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10c | zenon_intro zenon_He0 ]. % 11.70/11.91 apply (zenon_L300_); trivial. % 11.70/11.91 apply (zenon_L66_); trivial. % 11.70/11.91 (* end of lemma zenon_L301_ *) % 11.70/11.91 assert (zenon_L302_ : (((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 (e2) (e2)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H222 zenon_H170 zenon_H5b zenon_Hd5 zenon_Hb0 zenon_Hdf zenon_H8d zenon_H217. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.70/11.91 apply (zenon_L281_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.70/11.91 apply (zenon_L247_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.70/11.91 apply (zenon_L294_); trivial. % 11.70/11.91 exact (zenon_H217 zenon_Hac). % 11.70/11.91 (* end of lemma zenon_L302_ *) % 11.70/11.91 assert (zenon_L303_ : ((op (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H117 zenon_H106 zenon_Hb4. % 11.70/11.91 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 11.70/11.91 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_Hb4. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_H8e. % 11.70/11.91 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.70/11.91 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hc1]. % 11.70/11.91 congruence. % 11.70/11.91 cut (((op (e2) (e3)) = (e2)) = ((e3) = (e2))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_Hc1. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_H117. % 11.70/11.91 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.70/11.91 cut (((op (e2) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H227]. % 11.70/11.91 congruence. % 11.70/11.91 exact (zenon_H227 zenon_H106). % 11.70/11.91 apply zenon_H58. apply refl_equal. % 11.70/11.91 apply zenon_H8f. apply refl_equal. % 11.70/11.91 apply zenon_H8f. apply refl_equal. % 11.70/11.91 (* end of lemma zenon_L303_ *) % 11.70/11.91 assert (zenon_L304_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e2) (e2)) = (e1)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H1d0 zenon_H217 zenon_H8d zenon_Hd5 zenon_H5b zenon_H170 zenon_H222 zenon_He1 zenon_Hdf zenon_H117 zenon_Hb4. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.70/11.91 apply (zenon_L62_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.70/11.91 apply (zenon_L302_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.70/11.91 apply (zenon_L66_); trivial. % 11.70/11.91 apply (zenon_L303_); trivial. % 11.70/11.91 (* end of lemma zenon_L304_ *) % 11.70/11.91 assert (zenon_L305_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((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)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H157 zenon_H225 zenon_H163 zenon_H18c zenon_H1c6 zenon_H17f zenon_H44 zenon_Hb4 zenon_Hdf zenon_He1 zenon_H222 zenon_H170 zenon_H5b zenon_H8d zenon_H217 zenon_H1d0 zenon_H5f zenon_H117. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.70/11.91 apply (zenon_L301_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.70/11.91 apply (zenon_L215_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.70/11.91 apply (zenon_L304_); trivial. % 11.70/11.91 apply (zenon_L107_); trivial. % 11.70/11.91 (* end of lemma zenon_L305_ *) % 11.70/11.91 assert (zenon_L306_ : (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H228 zenon_Hdf zenon_Hf9. % 11.70/11.91 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e3) (e3)))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_H228. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_Hdf. % 11.70/11.91 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H229]. % 11.70/11.91 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 11.70/11.91 congruence. % 11.70/11.91 apply zenon_He3. apply refl_equal. % 11.70/11.91 apply zenon_H229. apply sym_equal. exact zenon_Hf9. % 11.70/11.91 (* end of lemma zenon_L306_ *) % 11.70/11.91 assert (zenon_L307_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e3) (e1)) = (e2)) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H22a zenon_H217 zenon_Hb6 zenon_H189 zenon_H117 zenon_H196 zenon_H228 zenon_Hdf. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_Hac | zenon_intro zenon_H22b ]. % 11.70/11.91 exact (zenon_H217 zenon_Hac). % 11.70/11.91 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H198 | zenon_intro zenon_H22c ]. % 11.70/11.91 apply (zenon_L284_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H144 | zenon_intro zenon_Hf9 ]. % 11.70/11.91 apply (zenon_L141_); trivial. % 11.70/11.91 apply (zenon_L306_); trivial. % 11.70/11.91 (* end of lemma zenon_L307_ *) % 11.70/11.91 assert (zenon_L308_ : (((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) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H15a zenon_H81 zenon_Hda zenon_Hdf zenon_H228 zenon_H189 zenon_H217 zenon_H22a zenon_H115 zenon_H79 zenon_H196 zenon_H117. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.70/11.91 apply (zenon_L97_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.70/11.91 apply (zenon_L307_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.70/11.91 apply (zenon_L83_); trivial. % 11.70/11.91 apply (zenon_L141_); trivial. % 11.70/11.91 (* end of lemma zenon_L308_ *) % 11.70/11.91 assert (zenon_L309_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (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 (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H19e zenon_H5f zenon_H1d0 zenon_H170 zenon_H222 zenon_He1 zenon_H44 zenon_H17f zenon_H1c6 zenon_H163 zenon_H157 zenon_Hdf zenon_H8d zenon_H4a zenon_H2a zenon_H1ca zenon_H196 zenon_H115 zenon_H22a zenon_H217 zenon_H228 zenon_Hda zenon_H81 zenon_H15a zenon_H225 zenon_Hb4 zenon_H167 zenon_H18c zenon_H59 zenon_H117. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.70/11.91 apply (zenon_L305_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.70/11.91 apply (zenon_L48_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.70/11.91 apply (zenon_L308_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.70/11.91 apply (zenon_L300_); trivial. % 11.70/11.91 apply (zenon_L275_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.70/11.91 apply (zenon_L131_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.70/11.91 exact (zenon_H18c zenon_H164). % 11.70/11.91 apply (zenon_L294_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.70/11.91 exact (zenon_H18c zenon_H164). % 11.70/11.91 apply (zenon_L145_); trivial. % 11.70/11.91 (* end of lemma zenon_L309_ *) % 11.70/11.91 assert (zenon_L310_ : ((op (e0) (e2)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H5e zenon_H81 zenon_H1bd. % 11.70/11.91 elim (classic ((op (e0) (e2)) = (op (e0) (e2)))); [ zenon_intro zenon_H22d | zenon_intro zenon_H7b ]. % 11.70/11.91 cut (((op (e0) (e2)) = (op (e0) (e2))) = ((op (e0) (e0)) = (op (e0) (e2)))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_H1bd. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_H22d. % 11.70/11.91 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 11.70/11.91 cut (((op (e0) (e2)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H22e]. % 11.70/11.91 congruence. % 11.70/11.91 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e0) (e0)))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_H22e. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_H5e. % 11.70/11.91 cut (((e2) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc9]. % 11.70/11.91 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 11.70/11.91 congruence. % 11.70/11.91 apply zenon_H7b. apply refl_equal. % 11.70/11.91 apply zenon_Hc9. apply sym_equal. exact zenon_H81. % 11.70/11.91 apply zenon_H7b. apply refl_equal. % 11.70/11.91 apply zenon_H7b. apply refl_equal. % 11.70/11.91 (* end of lemma zenon_L310_ *) % 11.70/11.91 assert (zenon_L311_ : (((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)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H1ca zenon_H1bd zenon_H81 zenon_H5f zenon_H49 zenon_H225 zenon_H117 zenon_Hb4 zenon_Hdf. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.70/11.91 apply (zenon_L310_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.70/11.91 apply (zenon_L224_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.70/11.91 apply (zenon_L300_); trivial. % 11.70/11.91 apply (zenon_L275_); trivial. % 11.70/11.91 (* end of lemma zenon_L311_ *) % 11.70/11.91 assert (zenon_L312_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H22f zenon_H8d zenon_H33 zenon_Hb1 zenon_H51 zenon_Hb4 zenon_H117 zenon_H228 zenon_Hdf. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H230 ]. % 11.70/11.91 apply (zenon_L267_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hfa | zenon_intro zenon_H231 ]. % 11.70/11.91 apply (zenon_L172_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H106 | zenon_intro zenon_Hf9 ]. % 11.70/11.91 apply (zenon_L303_); trivial. % 11.70/11.91 apply (zenon_L306_); trivial. % 11.70/11.91 (* end of lemma zenon_L312_ *) % 11.70/11.91 assert (zenon_L313_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H204 zenon_Hdf zenon_H228 zenon_Hb4 zenon_Hb1 zenon_H8d zenon_H22f zenon_H51 zenon_H28 zenon_H117 zenon_H59 zenon_H217. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H33 | zenon_intro zenon_H205 ]. % 11.70/11.91 apply (zenon_L312_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H92 | zenon_intro zenon_H206 ]. % 11.70/11.91 apply (zenon_L196_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hac ]. % 11.70/11.91 apply (zenon_L145_); trivial. % 11.70/11.91 exact (zenon_H217 zenon_Hac). % 11.70/11.91 (* end of lemma zenon_L313_ *) % 11.70/11.91 assert (zenon_L314_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H167 zenon_H59 zenon_H5e zenon_H2a zenon_H4a zenon_H18c zenon_H8d zenon_Hdf. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.70/11.91 apply (zenon_L48_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.70/11.91 apply (zenon_L131_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.70/11.91 exact (zenon_H18c zenon_H164). % 11.70/11.91 apply (zenon_L294_); trivial. % 11.70/11.91 (* end of lemma zenon_L314_ *) % 11.70/11.91 assert (zenon_L315_ : (((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) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (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 (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H222 zenon_H170 zenon_H5b zenon_H155 zenon_Hda zenon_H81 zenon_H176 zenon_H29 zenon_H121 zenon_H21f zenon_Hdf zenon_H8d zenon_H217. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.70/11.91 apply (zenon_L281_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.70/11.91 apply (zenon_L297_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.70/11.91 apply (zenon_L294_); trivial. % 11.70/11.91 exact (zenon_H217 zenon_Hac). % 11.70/11.91 (* end of lemma zenon_L315_ *) % 11.70/11.91 assert (zenon_L316_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((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) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H207 zenon_H21f zenon_H121 zenon_H176 zenon_Hda zenon_H155 zenon_H1d0 zenon_H5b zenon_H170 zenon_H222 zenon_He1 zenon_H17f zenon_H1c6 zenon_H18c zenon_H163 zenon_H157 zenon_H225 zenon_H5f zenon_H81 zenon_H1bd zenon_H1ca zenon_H204 zenon_Hdf zenon_H228 zenon_Hb4 zenon_Hb1 zenon_H8d zenon_H22f zenon_H28 zenon_H117 zenon_H59 zenon_H217. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H29 | zenon_intro zenon_H208 ]. % 11.70/11.91 apply (zenon_L315_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H44 | zenon_intro zenon_H209 ]. % 11.70/11.91 apply (zenon_L305_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H49 | zenon_intro zenon_H51 ]. % 11.70/11.91 apply (zenon_L311_); trivial. % 11.70/11.91 apply (zenon_L313_); trivial. % 11.70/11.91 (* end of lemma zenon_L316_ *) % 11.70/11.91 assert (zenon_L317_ : (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H84 zenon_H5b zenon_H189. % 11.70/11.91 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e1)))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_H84. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_H5b. % 11.70/11.91 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H232]. % 11.70/11.91 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 11.70/11.91 congruence. % 11.70/11.91 apply zenon_H72. apply refl_equal. % 11.70/11.91 apply zenon_H232. apply sym_equal. exact zenon_H189. % 11.70/11.91 (* end of lemma zenon_L317_ *) % 11.70/11.91 assert (zenon_L318_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H1d0 zenon_H8d zenon_H5b zenon_Hb1 zenon_Haf zenon_He1 zenon_Hdf zenon_H117 zenon_Hb4. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.70/11.91 apply (zenon_L62_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.70/11.91 apply (zenon_L42_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.70/11.91 apply (zenon_L66_); trivial. % 11.70/11.91 apply (zenon_L303_); trivial. % 11.70/11.91 (* end of lemma zenon_L318_ *) % 11.70/11.91 assert (zenon_L319_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (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) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H157 zenon_H225 zenon_H163 zenon_H18c zenon_H1c6 zenon_Hb1 zenon_Hb4 zenon_Hdf zenon_He1 zenon_H1e2 zenon_H5b zenon_H8d zenon_H1d0 zenon_H5f zenon_H117. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.70/11.91 apply (zenon_L301_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.70/11.91 apply (zenon_L318_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.70/11.91 apply (zenon_L62_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.70/11.91 apply (zenon_L247_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.70/11.91 apply (zenon_L66_); trivial. % 11.70/11.91 apply (zenon_L303_); trivial. % 11.70/11.91 apply (zenon_L107_); trivial. % 11.70/11.91 (* end of lemma zenon_L319_ *) % 11.70/11.91 assert (zenon_L320_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (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))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H7e zenon_H217 zenon_H8d zenon_Hdf zenon_H21f zenon_H121 zenon_H29 zenon_H176 zenon_Hda zenon_H155 zenon_H5b zenon_H170 zenon_H222 zenon_H5f zenon_H3c zenon_H59 zenon_H2f zenon_H117 zenon_H186. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.70/11.91 apply (zenon_L315_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.70/11.91 apply (zenon_L189_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.70/11.91 apply (zenon_L48_); trivial. % 11.70/11.91 apply (zenon_L134_); trivial. % 11.70/11.91 (* end of lemma zenon_L320_ *) % 11.70/11.91 assert (zenon_L321_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H1c6 zenon_H18c zenon_H5d zenon_Hd4 zenon_H225 zenon_H117 zenon_Hdf zenon_He1. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c8 ]. % 11.70/11.91 exact (zenon_H18c zenon_H164). % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H1c9 ]. % 11.70/11.91 apply (zenon_L61_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10c | zenon_intro zenon_He0 ]. % 11.70/11.91 apply (zenon_L300_); trivial. % 11.70/11.91 apply (zenon_L66_); trivial. % 11.70/11.91 (* end of lemma zenon_L321_ *) % 11.70/11.91 assert (zenon_L322_ : (((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 (e2) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H233 zenon_H1be zenon_H33 zenon_Hd5 zenon_Hd4 zenon_H1bd zenon_H81 zenon_Hdf zenon_H212. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H2f | zenon_intro zenon_H234 ]. % 11.70/11.91 apply (zenon_L187_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H5d | zenon_intro zenon_H235 ]. % 11.70/11.91 apply (zenon_L61_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H5e | zenon_intro zenon_Hbe ]. % 11.70/11.91 apply (zenon_L310_); trivial. % 11.70/11.91 apply (zenon_L290_); trivial. % 11.70/11.91 (* end of lemma zenon_L322_ *) % 11.70/11.91 assert (zenon_L323_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (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) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H1cd zenon_He1 zenon_H18c zenon_H1c6 zenon_Hb4 zenon_H117 zenon_H225 zenon_H5f zenon_H1ca zenon_H212 zenon_H81 zenon_H1bd zenon_Hd4 zenon_H33 zenon_H1be zenon_H233 zenon_Hb1 zenon_Hdf. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.70/11.91 apply (zenon_L321_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.70/11.91 apply (zenon_L311_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.70/11.91 apply (zenon_L322_); trivial. % 11.70/11.91 apply (zenon_L194_); trivial. % 11.70/11.91 (* end of lemma zenon_L323_ *) % 11.70/11.91 assert (zenon_L324_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e3) (e0)) = (e1)) -> False). % 11.70/11.91 do 0 intro. intros zenon_Hda zenon_H6d zenon_H68. % 11.70/11.91 cut (((op (e0) (e0)) = (e1)) = ((op (e0) (e0)) = (op (e3) (e0)))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_Hda. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_H6d. % 11.70/11.91 cut (((e1) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1a8]. % 11.70/11.91 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H138]. % 11.70/11.91 congruence. % 11.70/11.91 apply zenon_H138. apply refl_equal. % 11.70/11.91 apply zenon_H1a8. apply sym_equal. exact zenon_H68. % 11.70/11.91 (* end of lemma zenon_L324_ *) % 11.70/11.91 assert (zenon_L325_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H19a zenon_H6d zenon_Hda zenon_Hdf zenon_Hb1 zenon_H1fb zenon_H67 zenon_H121 zenon_H12e zenon_H44 zenon_H189 zenon_H8c zenon_H17a. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H68 | zenon_intro zenon_H19b ]. % 11.70/11.91 apply (zenon_L324_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H19c ]. % 11.70/11.91 apply (zenon_L93_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H146 | zenon_intro zenon_H198 ]. % 11.70/11.91 apply (zenon_L194_); trivial. % 11.70/11.91 apply (zenon_L285_); trivial. % 11.70/11.91 (* end of lemma zenon_L325_ *) % 11.70/11.91 assert (zenon_L326_ : (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H236 zenon_H44 zenon_H49. % 11.70/11.91 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e1) (e2)))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_H236. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_H44. % 11.70/11.91 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1de]. % 11.70/11.91 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H200]. % 11.70/11.91 congruence. % 11.70/11.91 apply zenon_H200. apply refl_equal. % 11.70/11.91 apply zenon_H1de. apply sym_equal. exact zenon_H49. % 11.70/11.91 (* end of lemma zenon_L326_ *) % 11.70/11.91 assert (zenon_L327_ : (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H43 zenon_H6f zenon_H99. % 11.70/11.91 cut (((op (e1) (e0)) = (e2)) = ((op (e1) (e0)) = (op (e1) (e1)))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_H43. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_H6f. % 11.70/11.91 cut (((e2) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H131]. % 11.70/11.91 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 11.70/11.91 congruence. % 11.70/11.91 apply zenon_H46. apply refl_equal. % 11.70/11.91 apply zenon_H131. apply sym_equal. exact zenon_H99. % 11.70/11.91 (* end of lemma zenon_L327_ *) % 11.70/11.91 assert (zenon_L328_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H130 zenon_H8c zenon_H9b. % 11.70/11.91 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (e1)) = (op (e1) (e1)))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_H130. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_H8c. % 11.70/11.91 cut (((e3) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Haa]. % 11.70/11.91 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 11.70/11.91 congruence. % 11.70/11.91 apply zenon_H21. apply refl_equal. % 11.70/11.91 apply zenon_Haa. apply sym_equal. exact zenon_H9b. % 11.70/11.91 (* end of lemma zenon_L328_ *) % 11.70/11.91 assert (zenon_L329_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H132 zenon_H237 zenon_H49 zenon_H236 zenon_H6f zenon_H43 zenon_H130 zenon_H8c. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H12c | zenon_intro zenon_H133 ]. % 11.70/11.91 exact (zenon_H237 zenon_H12c). % 11.70/11.91 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H44 | zenon_intro zenon_H134 ]. % 11.70/11.91 apply (zenon_L326_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H99 | zenon_intro zenon_H9b ]. % 11.70/11.91 apply (zenon_L327_); trivial. % 11.70/11.91 apply (zenon_L328_); trivial. % 11.70/11.91 (* end of lemma zenon_L329_ *) % 11.70/11.91 assert (zenon_L330_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((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). % 11.70/11.91 do 0 intro. intros zenon_H1e5 zenon_H217 zenon_H59 zenon_H117 zenon_H28 zenon_H22f zenon_H8d zenon_Hb1 zenon_Hb4 zenon_H228 zenon_Hdf zenon_H204 zenon_H132 zenon_H237 zenon_H236 zenon_H6f zenon_H43 zenon_H130 zenon_H8c zenon_H19a zenon_H6d zenon_Hda zenon_H1fb zenon_H12e zenon_H17a zenon_H5f zenon_H207 zenon_H121 zenon_H67. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.70/11.91 apply (zenon_L35_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.70/11.91 exact (zenon_H237 zenon_H12c). % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H29 | zenon_intro zenon_H208 ]. % 11.70/11.91 apply (zenon_L31_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H44 | zenon_intro zenon_H209 ]. % 11.70/11.91 apply (zenon_L325_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H49 | zenon_intro zenon_H51 ]. % 11.70/11.91 apply (zenon_L329_); trivial. % 11.70/11.91 apply (zenon_L313_); trivial. % 11.70/11.91 apply (zenon_L273_); trivial. % 11.70/11.91 (* end of lemma zenon_L330_ *) % 11.70/11.91 assert (zenon_L331_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (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) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H1cd zenon_He1 zenon_H117 zenon_H225 zenon_H18c zenon_H1c6 zenon_H5f zenon_H79 zenon_H212 zenon_H81 zenon_H1bd zenon_Hd4 zenon_H33 zenon_H1be zenon_H233 zenon_Hb1 zenon_Hdf. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.70/11.91 apply (zenon_L321_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.70/11.91 apply (zenon_L224_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.70/11.91 apply (zenon_L322_); trivial. % 11.70/11.91 apply (zenon_L194_); trivial. % 11.70/11.91 (* end of lemma zenon_L331_ *) % 11.70/11.91 assert (zenon_L332_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H89 zenon_H1bd zenon_H5e zenon_H5f zenon_H29 zenon_H1b1 zenon_H117 zenon_H67 zenon_H59. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.70/11.91 apply (zenon_L310_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.70/11.91 apply (zenon_L31_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.70/11.91 apply (zenon_L229_); trivial. % 11.70/11.91 apply (zenon_L33_); trivial. % 11.70/11.91 (* end of lemma zenon_L332_ *) % 11.70/11.91 assert (zenon_L333_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H21d zenon_H1cd zenon_Hb1 zenon_H1be zenon_H33 zenon_H212 zenon_H233 zenon_H1bd zenon_H5f zenon_Hb4 zenon_H1ca zenon_Hd4 zenon_H225 zenon_H117 zenon_He1 zenon_Hdf zenon_H1c6 zenon_H89 zenon_H67 zenon_H59 zenon_H1b1 zenon_H29 zenon_H130 zenon_Hf5 zenon_H95 zenon_H186 zenon_H7e. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H18c | zenon_intro zenon_H5a ]. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.70/11.91 apply (zenon_L323_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.70/11.91 apply (zenon_L31_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.70/11.91 apply (zenon_L94_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.70/11.91 apply (zenon_L331_); trivial. % 11.70/11.91 apply (zenon_L84_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.70/11.91 apply (zenon_L31_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.70/11.91 apply (zenon_L229_); trivial. % 11.70/11.91 apply (zenon_L33_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.70/11.91 apply (zenon_L332_); trivial. % 11.70/11.91 apply (zenon_L134_); trivial. % 11.70/11.91 apply (zenon_L229_); trivial. % 11.70/11.91 (* end of lemma zenon_L333_ *) % 11.70/11.91 assert (zenon_L334_ : (((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 (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> (~((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) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H6a zenon_H1f zenon_H3c zenon_H7e zenon_H186 zenon_H95 zenon_Hf5 zenon_H130 zenon_H1b1 zenon_H59 zenon_H89 zenon_Hd4 zenon_H1ca zenon_Hb4 zenon_H5f zenon_H1bd zenon_H233 zenon_H212 zenon_H33 zenon_H1be zenon_Hb1 zenon_H1cd zenon_H21d zenon_He1 zenon_Hdf zenon_H117 zenon_H225 zenon_H163 zenon_H18c zenon_H1c6 zenon_H67 zenon_H28. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.70/11.91 apply (zenon_L127_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.70/11.91 apply (zenon_L333_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.70/11.91 apply (zenon_L301_); trivial. % 11.70/11.91 apply (zenon_L24_); trivial. % 11.70/11.91 (* end of lemma zenon_L334_ *) % 11.70/11.91 assert (zenon_L335_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H33 zenon_H63 zenon_H28. % 11.70/11.91 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H3d | zenon_intro zenon_H27 ]. % 11.70/11.91 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_H28. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_H3d. % 11.70/11.91 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.70/11.91 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 11.70/11.91 congruence. % 11.70/11.91 cut (((op (e0) (e3)) = (e0)) = ((e1) = (e0))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_H3e. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_H33. % 11.70/11.91 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.70/11.91 cut (((op (e0) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 11.70/11.91 congruence. % 11.70/11.91 exact (zenon_H238 zenon_H63). % 11.70/11.91 apply zenon_H3b. apply refl_equal. % 11.70/11.91 apply zenon_H27. apply refl_equal. % 11.70/11.91 apply zenon_H27. apply refl_equal. % 11.70/11.91 (* end of lemma zenon_L335_ *) % 11.70/11.91 assert (zenon_L336_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H39 zenon_H8d zenon_Hd9. % 11.70/11.91 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H33. zenon_intro zenon_H3a. % 11.70/11.91 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H67. zenon_intro zenon_H26. % 11.70/11.91 apply (zenon_L120_); trivial. % 11.70/11.91 (* end of lemma zenon_L336_ *) % 11.70/11.91 assert (zenon_L337_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.70/11.91 do 0 intro. intros zenon_H1c2 zenon_H3c zenon_H34 zenon_H1dc zenon_H49 zenon_H117 zenon_H5f zenon_H1c3. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H63 | zenon_intro zenon_H1c4 ]. % 11.70/11.91 apply (zenon_L22_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H51 | zenon_intro zenon_H1c5 ]. % 11.70/11.91 apply (zenon_L219_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_He8 | zenon_intro zenon_H198 ]. % 11.70/11.91 apply (zenon_L107_); trivial. % 11.70/11.91 exact (zenon_H1c3 zenon_H198). % 11.70/11.91 (* end of lemma zenon_L337_ *) % 11.70/11.91 assert (zenon_L338_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.70/11.91 do 0 intro. intros zenon_H1cd zenon_H2e zenon_H1c3 zenon_H5f zenon_H117 zenon_H1dc zenon_H34 zenon_H3c zenon_H1c2 zenon_H1c7 zenon_Hb1 zenon_Hdf. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.70/11.91 apply (zenon_L58_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.70/11.91 apply (zenon_L337_); trivial. % 11.70/11.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.70/11.91 exact (zenon_H1c7 zenon_Hd5). % 11.70/11.91 apply (zenon_L194_); trivial. % 11.70/11.91 (* end of lemma zenon_L338_ *) % 11.70/11.91 assert (zenon_L339_ : ((op (e3) (e2)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.70/11.91 do 0 intro. intros zenon_Hdf zenon_Hb5 zenon_H239. % 11.70/11.91 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_He2 | zenon_intro zenon_He3 ]. % 11.70/11.91 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (e1)) = (op (e3) (e2)))). % 11.70/11.91 intro zenon_D_pnotp. % 11.70/11.91 apply zenon_H239. % 11.70/11.91 rewrite <- zenon_D_pnotp. % 11.70/11.91 exact zenon_He2. % 11.70/11.91 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 11.70/11.92 cut (((op (e3) (e2)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H23a]. % 11.70/11.92 congruence. % 11.70/11.92 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e3) (e1)))). % 11.70/11.92 intro zenon_D_pnotp. % 11.70/11.92 apply zenon_H23a. % 11.70/11.92 rewrite <- zenon_D_pnotp. % 11.70/11.92 exact zenon_Hdf. % 11.70/11.92 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H23b]. % 11.70/11.92 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 11.70/11.92 congruence. % 11.70/11.92 apply zenon_He3. apply refl_equal. % 11.70/11.92 apply zenon_H23b. apply sym_equal. exact zenon_Hb5. % 11.70/11.92 apply zenon_He3. apply refl_equal. % 11.70/11.92 apply zenon_He3. apply refl_equal. % 11.70/11.92 (* end of lemma zenon_L339_ *) % 11.70/11.92 assert (zenon_L340_ : ((op (e2) (e3)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H117 zenon_H85 zenon_H1aa. % 11.70/11.92 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H118 | zenon_intro zenon_H119 ]. % 11.70/11.92 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e1)) = (op (e2) (e3)))). % 11.70/11.92 intro zenon_D_pnotp. % 11.70/11.92 apply zenon_H1aa. % 11.70/11.92 rewrite <- zenon_D_pnotp. % 11.70/11.92 exact zenon_H118. % 11.70/11.92 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 11.70/11.92 cut (((op (e2) (e3)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H23c]. % 11.70/11.92 congruence. % 11.70/11.92 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e2) (e1)))). % 11.70/11.92 intro zenon_D_pnotp. % 11.70/11.92 apply zenon_H23c. % 11.70/11.92 rewrite <- zenon_D_pnotp. % 11.70/11.92 exact zenon_H117. % 11.70/11.92 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 11.70/11.92 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 11.70/11.92 congruence. % 11.70/11.92 apply zenon_H119. apply refl_equal. % 11.70/11.92 apply zenon_H86. apply sym_equal. exact zenon_H85. % 11.70/11.92 apply zenon_H119. apply refl_equal. % 11.70/11.92 apply zenon_H119. apply refl_equal. % 11.70/11.92 (* end of lemma zenon_L340_ *) % 11.70/11.92 assert (zenon_L341_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H1d6 zenon_H1aa zenon_H1cd zenon_Hdf zenon_Hb1 zenon_H34 zenon_H1dc zenon_H5f zenon_H117 zenon_H1c2 zenon_H3c zenon_H2e zenon_H239 zenon_H1db. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H85 ]. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c3 | zenon_intro zenon_Hb5 ]. % 11.70/11.92 apply (zenon_L338_); trivial. % 11.70/11.92 apply (zenon_L339_); trivial. % 11.70/11.92 apply (zenon_L340_); trivial. % 11.70/11.92 (* end of lemma zenon_L341_ *) % 11.70/11.92 assert (zenon_L342_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H40 zenon_H1aa zenon_H1cd zenon_Hdf zenon_Hb1 zenon_H34 zenon_H1dc zenon_H5f zenon_H117 zenon_H1c2 zenon_H2e zenon_H239. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H29. zenon_intro zenon_H41. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H3c. zenon_intro zenon_H42. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1da. zenon_intro zenon_H1d9. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1d6. zenon_intro zenon_H1db. % 11.70/11.92 apply (zenon_L341_); trivial. % 11.70/11.92 (* end of lemma zenon_L342_ *) % 11.70/11.92 assert (zenon_L343_ : (((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)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.70/11.92 do 0 intro. intros zenon_H1cd zenon_H5f zenon_H5e zenon_H44 zenon_H236 zenon_H1c7 zenon_Hb1 zenon_Hdf. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.70/11.92 apply (zenon_L21_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.70/11.92 apply (zenon_L326_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.70/11.92 exact (zenon_H1c7 zenon_Hd5). % 11.70/11.92 apply (zenon_L194_); trivial. % 11.70/11.92 (* end of lemma zenon_L343_ *) % 11.70/11.92 assert (zenon_L344_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H63 zenon_H5d zenon_H1be. % 11.70/11.92 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.70/11.92 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e2)) = (op (e0) (e3)))). % 11.70/11.92 intro zenon_D_pnotp. % 11.70/11.92 apply zenon_H1be. % 11.70/11.92 rewrite <- zenon_D_pnotp. % 11.70/11.92 exact zenon_H35. % 11.70/11.92 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.70/11.92 cut (((op (e0) (e3)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1bf]. % 11.70/11.92 congruence. % 11.70/11.92 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e0) (e2)))). % 11.70/11.92 intro zenon_D_pnotp. % 11.70/11.92 apply zenon_H1bf. % 11.70/11.92 rewrite <- zenon_D_pnotp. % 11.70/11.92 exact zenon_H63. % 11.70/11.92 cut (((e1) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 11.70/11.92 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.70/11.92 congruence. % 11.70/11.92 apply zenon_H36. apply refl_equal. % 11.70/11.92 apply zenon_Hd2. apply sym_equal. exact zenon_H5d. % 11.70/11.92 apply zenon_H36. apply refl_equal. % 11.70/11.92 apply zenon_H36. apply refl_equal. % 11.70/11.92 (* end of lemma zenon_L344_ *) % 11.70/11.92 assert (zenon_L345_ : (((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)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.70/11.92 do 0 intro. intros zenon_H1cd zenon_H1be zenon_H63 zenon_H5f zenon_H79 zenon_H1c7 zenon_Hb1 zenon_Hdf. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.70/11.92 apply (zenon_L344_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.70/11.92 apply (zenon_L224_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.70/11.92 exact (zenon_H1c7 zenon_Hd5). % 11.70/11.92 apply (zenon_L194_); trivial. % 11.70/11.92 (* end of lemma zenon_L345_ *) % 11.70/11.92 assert (zenon_L346_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H1d6 zenon_H1aa zenon_H1ca zenon_Hb4 zenon_H225 zenon_H1be zenon_H1fe zenon_H117 zenon_H1c2 zenon_H5f zenon_H236 zenon_H44 zenon_Hb1 zenon_Hdf zenon_H1cd zenon_H239 zenon_H1db. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H85 ]. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c3 | zenon_intro zenon_Hb5 ]. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.70/11.92 apply (zenon_L343_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H63 | zenon_intro zenon_H1c4 ]. % 11.70/11.92 apply (zenon_L345_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H51 | zenon_intro zenon_H1c5 ]. % 11.70/11.92 apply (zenon_L259_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_He8 | zenon_intro zenon_H198 ]. % 11.70/11.92 apply (zenon_L107_); trivial. % 11.70/11.92 exact (zenon_H1c3 zenon_H198). % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.70/11.92 apply (zenon_L300_); trivial. % 11.70/11.92 apply (zenon_L275_); trivial. % 11.70/11.92 apply (zenon_L339_); trivial. % 11.70/11.92 apply (zenon_L340_); trivial. % 11.70/11.92 (* end of lemma zenon_L346_ *) % 11.70/11.92 assert (zenon_L347_ : (((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H47 zenon_H1aa zenon_H1ca zenon_Hb4 zenon_H225 zenon_H1be zenon_H1fe zenon_H117 zenon_H1c2 zenon_H5f zenon_H236 zenon_Hb1 zenon_Hdf zenon_H1cd zenon_H239. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H44. zenon_intro zenon_H48. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H44. zenon_intro zenon_H42. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1da. zenon_intro zenon_H1d9. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1d6. zenon_intro zenon_H1db. % 11.70/11.92 apply (zenon_L346_); trivial. % 11.70/11.92 (* end of lemma zenon_L347_ *) % 11.70/11.92 assert (zenon_L348_ : (((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 (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H1c6 zenon_H2f zenon_Hd4 zenon_H1c7 zenon_H225 zenon_H117 zenon_Hdf zenon_He1. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c8 ]. % 11.70/11.92 apply (zenon_L195_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H1c9 ]. % 11.70/11.92 exact (zenon_H1c7 zenon_Hd5). % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10c | zenon_intro zenon_He0 ]. % 11.70/11.92 apply (zenon_L300_); trivial. % 11.70/11.92 apply (zenon_L66_); trivial. % 11.70/11.92 (* end of lemma zenon_L348_ *) % 11.70/11.92 assert (zenon_L349_ : (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> False). % 11.70/11.92 do 0 intro. intros zenon_H10d zenon_H14c zenon_H164. % 11.70/11.92 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (e2)) = (op (e2) (e2)))). % 11.70/11.92 intro zenon_D_pnotp. % 11.70/11.92 apply zenon_H10d. % 11.70/11.92 rewrite <- zenon_D_pnotp. % 11.70/11.92 exact zenon_H14c. % 11.70/11.92 cut (((e0) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 11.70/11.92 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 11.70/11.92 congruence. % 11.70/11.92 apply zenon_H4c. apply refl_equal. % 11.70/11.92 apply zenon_H165. apply sym_equal. exact zenon_H164. % 11.70/11.92 (* end of lemma zenon_L349_ *) % 11.70/11.92 assert (zenon_L350_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H1c6 zenon_H14c zenon_H10d zenon_H1c7 zenon_H225 zenon_H117 zenon_Hdf zenon_He1. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c8 ]. % 11.70/11.92 apply (zenon_L349_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H1c9 ]. % 11.70/11.92 exact (zenon_H1c7 zenon_Hd5). % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10c | zenon_intro zenon_He0 ]. % 11.70/11.92 apply (zenon_L300_); trivial. % 11.70/11.92 apply (zenon_L66_); trivial. % 11.70/11.92 (* end of lemma zenon_L350_ *) % 11.70/11.92 assert (zenon_L351_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.70/11.92 do 0 intro. intros zenon_H167 zenon_Hd4 zenon_He1 zenon_H117 zenon_H225 zenon_H1c7 zenon_H10d zenon_H1c6 zenon_Hd7 zenon_H68 zenon_H8d zenon_Hdf. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.70/11.92 apply (zenon_L348_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.70/11.92 apply (zenon_L350_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.70/11.92 apply (zenon_L139_); trivial. % 11.70/11.92 apply (zenon_L294_); trivial. % 11.70/11.92 (* end of lemma zenon_L351_ *) % 11.70/11.92 assert (zenon_L352_ : ((op (e2) (e0)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H65 zenon_Hd7 zenon_Hb1. % 11.70/11.92 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 11.70/11.92 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.70/11.92 intro zenon_D_pnotp. % 11.70/11.92 apply zenon_Hb1. % 11.70/11.92 rewrite <- zenon_D_pnotp. % 11.70/11.92 exact zenon_H8e. % 11.70/11.92 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.70/11.92 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb2]. % 11.70/11.92 congruence. % 11.70/11.92 cut (((op (e2) (e0)) = (e1)) = ((e3) = (e1))). % 11.70/11.92 intro zenon_D_pnotp. % 11.70/11.92 apply zenon_Hb2. % 11.70/11.92 rewrite <- zenon_D_pnotp. % 11.70/11.92 exact zenon_H65. % 11.70/11.92 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.70/11.92 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 11.70/11.92 congruence. % 11.70/11.92 exact (zenon_Hd8 zenon_Hd7). % 11.70/11.92 apply zenon_H27. apply refl_equal. % 11.70/11.92 apply zenon_H8f. apply refl_equal. % 11.70/11.92 apply zenon_H8f. apply refl_equal. % 11.70/11.92 (* end of lemma zenon_L352_ *) % 11.70/11.92 assert (zenon_L353_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.70/11.92 do 0 intro. intros zenon_H157 zenon_Hb1 zenon_Hd7 zenon_H1a4 zenon_Hb8 zenon_H1c7 zenon_H5f zenon_H117. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.70/11.92 apply (zenon_L352_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.70/11.92 apply (zenon_L151_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.70/11.92 exact (zenon_H1c7 zenon_Hd5). % 11.70/11.92 apply (zenon_L107_); trivial. % 11.70/11.92 (* end of lemma zenon_L353_ *) % 11.70/11.92 assert (zenon_L354_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H19a zenon_H8d zenon_H1c6 zenon_H10d zenon_H225 zenon_He1 zenon_Hd4 zenon_H167 zenon_H117 zenon_H5f zenon_H1c7 zenon_H1a4 zenon_Hd7 zenon_H157 zenon_Hdf zenon_Hb1 zenon_H1c3. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H68 | zenon_intro zenon_H19b ]. % 11.70/11.92 apply (zenon_L351_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H19c ]. % 11.70/11.92 apply (zenon_L353_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H146 | zenon_intro zenon_H198 ]. % 11.70/11.92 apply (zenon_L194_); trivial. % 11.70/11.92 exact (zenon_H1c3 zenon_H198). % 11.70/11.92 (* end of lemma zenon_L354_ *) % 11.70/11.92 assert (zenon_L355_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H1d0 zenon_H1c3 zenon_H157 zenon_H1a4 zenon_H1c7 zenon_H5f zenon_H167 zenon_Hd4 zenon_H225 zenon_H10d zenon_H1c6 zenon_H8d zenon_H19a zenon_Hb1 zenon_Haf zenon_He1 zenon_Hdf zenon_H117 zenon_Hb4. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.70/11.92 apply (zenon_L354_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.70/11.92 apply (zenon_L42_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.70/11.92 apply (zenon_L66_); trivial. % 11.70/11.92 apply (zenon_L303_); trivial. % 11.70/11.92 (* end of lemma zenon_L355_ *) % 11.70/11.92 assert (zenon_L356_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e2) (e1)) = (e1)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H1db zenon_H239 zenon_H19a zenon_Hb1 zenon_H1a4 zenon_H5f zenon_H157 zenon_H1c6 zenon_Hdf zenon_He1 zenon_H117 zenon_H225 zenon_H1c7 zenon_Hd4 zenon_H10d zenon_H8d zenon_H167 zenon_Haf zenon_Hb4 zenon_H1d0. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c3 | zenon_intro zenon_Hb5 ]. % 11.70/11.92 apply (zenon_L355_); trivial. % 11.70/11.92 apply (zenon_L339_); trivial. % 11.70/11.92 (* end of lemma zenon_L356_ *) % 11.70/11.92 assert (zenon_L357_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((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))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H4f zenon_H1aa zenon_H1d0 zenon_Hb4 zenon_H167 zenon_H8d zenon_H10d zenon_Hd4 zenon_H225 zenon_H117 zenon_He1 zenon_Hdf zenon_H1c6 zenon_H157 zenon_H5f zenon_H1a4 zenon_Hb1 zenon_H19a zenon_H239. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H49. zenon_intro zenon_H50. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_Haf. zenon_intro zenon_H42. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1da. zenon_intro zenon_H1d9. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1d6. zenon_intro zenon_H1db. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H85 ]. % 11.70/11.92 apply (zenon_L356_); trivial. % 11.70/11.92 apply (zenon_L340_); trivial. % 11.70/11.92 (* end of lemma zenon_L357_ *) % 11.70/11.92 assert (zenon_L358_ : ((op (e3) (e0)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H67 zenon_H1e zenon_Hda. % 11.70/11.92 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hae ]. % 11.70/11.92 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e0) (e0)) = (op (e3) (e0)))). % 11.70/11.92 intro zenon_D_pnotp. % 11.70/11.92 apply zenon_Hda. % 11.70/11.92 rewrite <- zenon_D_pnotp. % 11.70/11.92 exact zenon_Hdb. % 11.70/11.92 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.70/11.92 cut (((op (e3) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hdc]. % 11.70/11.92 congruence. % 11.70/11.92 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e0) (e0)))). % 11.70/11.92 intro zenon_D_pnotp. % 11.70/11.92 apply zenon_Hdc. % 11.70/11.92 rewrite <- zenon_D_pnotp. % 11.70/11.92 exact zenon_H67. % 11.70/11.92 cut (((e0) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H23]. % 11.70/11.92 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.70/11.92 congruence. % 11.70/11.92 apply zenon_Hae. apply refl_equal. % 11.70/11.92 apply zenon_H23. apply sym_equal. exact zenon_H1e. % 11.70/11.92 apply zenon_Hae. apply refl_equal. % 11.70/11.92 apply zenon_Hae. apply refl_equal. % 11.70/11.92 (* end of lemma zenon_L358_ *) % 11.70/11.92 assert (zenon_L359_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.70/11.92 do 0 intro. intros zenon_H204 zenon_H8d zenon_Hc0 zenon_H51 zenon_H28 zenon_H117 zenon_H59 zenon_Hab zenon_H67. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H33 | zenon_intro zenon_H205 ]. % 11.70/11.92 apply (zenon_L267_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H92 | zenon_intro zenon_H206 ]. % 11.70/11.92 apply (zenon_L196_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hac ]. % 11.70/11.92 apply (zenon_L145_); trivial. % 11.70/11.92 apply (zenon_L41_); trivial. % 11.70/11.92 (* end of lemma zenon_L359_ *) % 11.70/11.92 assert (zenon_L360_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> False). % 11.70/11.92 do 0 intro. intros zenon_H173 zenon_H163 zenon_H170 zenon_H1b1 zenon_H117 zenon_H68 zenon_H164. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H5b | zenon_intro zenon_H174 ]. % 11.70/11.92 apply (zenon_L109_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H65 | zenon_intro zenon_H175 ]. % 11.70/11.92 apply (zenon_L222_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd7 ]. % 11.70/11.92 apply (zenon_L229_); trivial. % 11.70/11.92 apply (zenon_L139_); trivial. % 11.70/11.92 (* end of lemma zenon_L360_ *) % 11.70/11.92 assert (zenon_L361_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e0)))) -> ((op (e3) (e3)) = (e0)) -> False). % 11.70/11.92 do 0 intro. intros zenon_H23d zenon_Hac. % 11.70/11.92 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H217]. % 11.70/11.92 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.70/11.92 congruence. % 11.70/11.92 apply zenon_H8f. apply refl_equal. % 11.70/11.92 exact (zenon_H217 zenon_Hac). % 11.70/11.92 (* end of lemma zenon_L361_ *) % 11.70/11.92 assert (zenon_L362_ : ((op (e3) (e0)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> (~((e2) = (op (e3) (op (e3) (e3))))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H87 zenon_Hac zenon_H20c. % 11.70/11.92 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H148 | zenon_intro zenon_H149 ]. % 11.70/11.92 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e2) = (op (e3) (op (e3) (e3))))). % 11.70/11.92 intro zenon_D_pnotp. % 11.70/11.92 apply zenon_H20c. % 11.70/11.92 rewrite <- zenon_D_pnotp. % 11.70/11.92 exact zenon_H148. % 11.70/11.92 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 11.70/11.92 cut (((op (e3) (op (e3) (e3))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H20d]. % 11.70/11.92 congruence. % 11.70/11.92 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (op (e3) (e3))) = (e2))). % 11.70/11.92 intro zenon_D_pnotp. % 11.70/11.92 apply zenon_H20d. % 11.70/11.92 rewrite <- zenon_D_pnotp. % 11.70/11.92 exact zenon_H87. % 11.70/11.92 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.70/11.92 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H23e]. % 11.70/11.92 congruence. % 11.70/11.92 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H148 | zenon_intro zenon_H149 ]. % 11.70/11.92 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e3))))). % 11.70/11.92 intro zenon_D_pnotp. % 11.70/11.92 apply zenon_H23e. % 11.70/11.92 rewrite <- zenon_D_pnotp. % 11.70/11.92 exact zenon_H148. % 11.70/11.92 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 11.70/11.92 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H23d]. % 11.70/11.92 congruence. % 11.70/11.92 apply (zenon_L361_); trivial. % 11.70/11.92 apply zenon_H149. apply refl_equal. % 11.70/11.92 apply zenon_H149. apply refl_equal. % 11.70/11.92 apply zenon_H58. apply refl_equal. % 11.70/11.92 apply zenon_H149. apply refl_equal. % 11.70/11.92 apply zenon_H149. apply refl_equal. % 11.70/11.92 (* end of lemma zenon_L362_ *) % 11.70/11.92 assert (zenon_L363_ : ((op (e2) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> False). % 11.70/11.92 do 0 intro. intros zenon_H65 zenon_H87 zenon_Hac. % 11.70/11.92 apply (zenon_notand_s _ _ ax17); [ zenon_intro zenon_H240 | zenon_intro zenon_H23f ]. % 11.70/11.92 elim (classic ((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [ zenon_intro zenon_H14f | zenon_intro zenon_H150 ]. % 11.70/11.92 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) = ((e1) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))). % 11.70/11.92 intro zenon_D_pnotp. % 11.70/11.92 apply zenon_H240. % 11.70/11.92 rewrite <- zenon_D_pnotp. % 11.70/11.92 exact zenon_H14f. % 11.70/11.92 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H150]. % 11.70/11.92 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H241]. % 11.70/11.92 congruence. % 11.70/11.92 cut (((op (e2) (e0)) = (e1)) = ((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (e1))). % 11.70/11.92 intro zenon_D_pnotp. % 11.70/11.92 apply zenon_H241. % 11.70/11.92 rewrite <- zenon_D_pnotp. % 11.70/11.92 exact zenon_H65. % 11.70/11.92 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.70/11.92 cut (((op (e2) (e0)) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H242]. % 11.70/11.92 congruence. % 11.70/11.92 elim (classic ((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [ zenon_intro zenon_H14f | zenon_intro zenon_H150 ]. % 11.70/11.92 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3)))) = ((op (e2) (e0)) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))). % 11.70/11.92 intro zenon_D_pnotp. % 11.70/11.92 apply zenon_H242. % 11.70/11.92 rewrite <- zenon_D_pnotp. % 11.70/11.92 exact zenon_H14f. % 11.70/11.92 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (op (e3) (op (e3) (e3))) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H150]. % 11.70/11.92 cut (((op (op (e3) (op (e3) (e3))) (op (e3) (e3))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H243]. % 11.70/11.92 congruence. % 11.70/11.92 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H217]. % 11.70/11.92 cut (((op (e3) (op (e3) (e3))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H20d]. % 11.70/11.92 congruence. % 11.70/11.92 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (op (e3) (e3))) = (e2))). % 11.70/11.92 intro zenon_D_pnotp. % 11.70/11.92 apply zenon_H20d. % 11.70/11.92 rewrite <- zenon_D_pnotp. % 11.70/11.92 exact zenon_H87. % 11.70/11.92 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.70/11.92 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H23e]. % 11.70/11.92 congruence. % 11.70/11.92 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_H148 | zenon_intro zenon_H149 ]. % 11.70/11.92 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e3))))). % 11.70/11.92 intro zenon_D_pnotp. % 11.70/11.92 apply zenon_H23e. % 11.70/11.92 rewrite <- zenon_D_pnotp. % 11.70/11.92 exact zenon_H148. % 11.70/11.92 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 11.70/11.92 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H23d]. % 11.70/11.92 congruence. % 11.70/11.92 apply (zenon_L361_); trivial. % 11.70/11.92 apply zenon_H149. apply refl_equal. % 11.70/11.92 apply zenon_H149. apply refl_equal. % 11.70/11.92 apply zenon_H58. apply refl_equal. % 11.70/11.92 exact (zenon_H217 zenon_Hac). % 11.70/11.92 apply zenon_H150. apply refl_equal. % 11.70/11.92 apply zenon_H150. apply refl_equal. % 11.70/11.92 apply zenon_H27. apply refl_equal. % 11.70/11.92 apply zenon_H150. apply refl_equal. % 11.70/11.92 apply zenon_H150. apply refl_equal. % 11.70/11.92 apply (zenon_notand_s _ _ zenon_H23f); [ zenon_intro zenon_H20c | zenon_intro zenon_Had ]. % 11.70/11.92 apply (zenon_L362_); trivial. % 11.70/11.92 apply zenon_Had. apply sym_equal. exact zenon_Hac. % 11.70/11.92 (* end of lemma zenon_L363_ *) % 11.70/11.92 assert (zenon_L364_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H21f zenon_Hab zenon_H59 zenon_H28 zenon_H51 zenon_Hc0 zenon_H8d zenon_H204 zenon_H164 zenon_H117 zenon_H1b1 zenon_H170 zenon_H163 zenon_H173 zenon_Hac zenon_H65 zenon_Hdf zenon_H155. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H67 | zenon_intro zenon_H220 ]. % 11.70/11.92 apply (zenon_L359_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H68 | zenon_intro zenon_H221 ]. % 11.70/11.92 apply (zenon_L360_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd9 ]. % 11.70/11.92 apply (zenon_L363_); trivial. % 11.70/11.92 apply (zenon_L105_); trivial. % 11.70/11.92 (* end of lemma zenon_L364_ *) % 11.70/11.92 assert (zenon_L365_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e1)) -> ((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) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.70/11.92 do 0 intro. intros zenon_H22f zenon_H155 zenon_H65 zenon_Hac zenon_H173 zenon_H163 zenon_H170 zenon_H1b1 zenon_H164 zenon_H204 zenon_H8d zenon_H28 zenon_H59 zenon_Hab zenon_H21f zenon_Hb1 zenon_H51 zenon_Hb4 zenon_H117 zenon_H228 zenon_Hdf. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H230 ]. % 11.70/11.92 apply (zenon_L364_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hfa | zenon_intro zenon_H231 ]. % 11.70/11.92 apply (zenon_L172_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H106 | zenon_intro zenon_Hf9 ]. % 11.70/11.92 apply (zenon_L303_); trivial. % 11.70/11.92 apply (zenon_L306_); trivial. % 11.70/11.92 (* end of lemma zenon_L365_ *) % 11.70/11.92 assert (zenon_L366_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (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 (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.70/11.92 do 0 intro. intros zenon_H222 zenon_Hda zenon_H1e zenon_Hb8 zenon_H22f zenon_H155 zenon_H65 zenon_H173 zenon_H163 zenon_H170 zenon_H1b1 zenon_H164 zenon_H204 zenon_H8d zenon_H28 zenon_H59 zenon_Hab zenon_H21f zenon_Hb1 zenon_H51 zenon_Hb4 zenon_H117 zenon_H228 zenon_Hdf. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.70/11.92 apply (zenon_L358_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.70/11.92 apply (zenon_L264_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.70/11.92 apply (zenon_L294_); trivial. % 11.70/11.92 apply (zenon_L365_); trivial. % 11.70/11.92 (* end of lemma zenon_L366_ *) % 11.70/11.92 assert (zenon_L367_ : ((op (e3) (e1)) = (e1)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.70/11.92 do 0 intro. intros zenon_Hb8 zenon_H68 zenon_H121. % 11.70/11.92 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H122 | zenon_intro zenon_H123 ]. % 11.70/11.92 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e3) (e0)) = (op (e3) (e1)))). % 11.70/11.92 intro zenon_D_pnotp. % 11.70/11.92 apply zenon_H121. % 11.70/11.92 rewrite <- zenon_D_pnotp. % 11.70/11.92 exact zenon_H122. % 11.70/11.92 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 11.70/11.92 cut (((op (e3) (e1)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H124]. % 11.70/11.92 congruence. % 11.70/11.92 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e3) (e0)))). % 11.70/11.92 intro zenon_D_pnotp. % 11.70/11.92 apply zenon_H124. % 11.70/11.92 rewrite <- zenon_D_pnotp. % 11.70/11.92 exact zenon_Hb8. % 11.70/11.92 cut (((e1) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1a8]. % 11.70/11.92 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 11.70/11.92 congruence. % 11.70/11.92 apply zenon_H123. apply refl_equal. % 11.70/11.92 apply zenon_H1a8. apply sym_equal. exact zenon_H68. % 11.70/11.92 apply zenon_H123. apply refl_equal. % 11.70/11.92 apply zenon_H123. apply refl_equal. % 11.70/11.92 (* end of lemma zenon_L367_ *) % 11.70/11.92 assert (zenon_L368_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H19f zenon_H6d zenon_H2a zenon_H1c3 zenon_Hb1 zenon_H157 zenon_H1a4 zenon_H1c7 zenon_H5f zenon_H117 zenon_H167 zenon_Hd4 zenon_He1 zenon_H225 zenon_H10d zenon_H1c6 zenon_H8d zenon_H19a zenon_Hdf zenon_H155. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hbc | zenon_intro zenon_H1a0 ]. % 11.70/11.92 apply (zenon_L49_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H135 | zenon_intro zenon_H1a1 ]. % 11.70/11.92 apply (zenon_L96_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd9 ]. % 11.70/11.92 apply (zenon_L354_); trivial. % 11.70/11.92 apply (zenon_L105_); trivial. % 11.70/11.92 (* end of lemma zenon_L368_ *) % 11.70/11.92 assert (zenon_L369_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (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 (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.70/11.92 do 0 intro. intros zenon_H222 zenon_H2a zenon_H176 zenon_Hb8 zenon_H22f zenon_H155 zenon_H65 zenon_H173 zenon_H163 zenon_H170 zenon_H1b1 zenon_H164 zenon_H204 zenon_H8d zenon_H28 zenon_H59 zenon_Hab zenon_H21f zenon_Hb1 zenon_H51 zenon_Hb4 zenon_H117 zenon_H228 zenon_Hdf. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.70/11.92 apply (zenon_L296_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.70/11.92 apply (zenon_L264_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.70/11.92 apply (zenon_L294_); trivial. % 11.70/11.92 apply (zenon_L365_); trivial. % 11.70/11.92 (* end of lemma zenon_L369_ *) % 11.70/11.92 assert (zenon_L370_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H1c6 zenon_H5b zenon_H163 zenon_H1c7 zenon_H225 zenon_H117 zenon_Hdf zenon_He1. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c8 ]. % 11.70/11.92 apply (zenon_L109_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H1c9 ]. % 11.70/11.92 exact (zenon_H1c7 zenon_Hd5). % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10c | zenon_intro zenon_He0 ]. % 11.70/11.92 apply (zenon_L300_); trivial. % 11.70/11.92 apply (zenon_L66_); trivial. % 11.70/11.92 (* end of lemma zenon_L370_ *) % 11.70/11.92 assert (zenon_L371_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.70/11.92 do 0 intro. intros zenon_H204 zenon_H34 zenon_H1d zenon_H51 zenon_H28 zenon_H117 zenon_H59 zenon_Hab zenon_H67. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H33 | zenon_intro zenon_H205 ]. % 11.70/11.92 apply (zenon_L8_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H92 | zenon_intro zenon_H206 ]. % 11.70/11.92 apply (zenon_L196_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hac ]. % 11.70/11.92 apply (zenon_L145_); trivial. % 11.70/11.92 apply (zenon_L41_); trivial. % 11.70/11.92 (* end of lemma zenon_L371_ *) % 11.70/11.92 assert (zenon_L372_ : (((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 (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (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 (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (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 (e2) (e0)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H1e8 zenon_H1f zenon_Hf7 zenon_H6a zenon_H19a zenon_H10d zenon_Hd4 zenon_H5f zenon_H1a4 zenon_H157 zenon_H1c3 zenon_H19f zenon_H52 zenon_H8d zenon_H222 zenon_H176 zenon_H22f zenon_H155 zenon_H173 zenon_H170 zenon_H1b1 zenon_H21f zenon_Hb1 zenon_Hb4 zenon_H228 zenon_H4a zenon_H167 zenon_Hb8 zenon_H121 zenon_H1cd zenon_H2e zenon_H1dc zenon_H1c2 zenon_Hca zenon_He1 zenon_Hdf zenon_H225 zenon_H1c7 zenon_H163 zenon_H1c6 zenon_H204 zenon_H34 zenon_H1d zenon_H51 zenon_H28 zenon_H117 zenon_H59 zenon_Hab. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.70/11.92 apply (zenon_L1_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.70/11.92 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.70/11.92 apply (zenon_L368_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.70/11.92 apply (zenon_L338_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.70/11.92 apply (zenon_L368_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.70/11.92 apply (zenon_L17_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.70/11.92 apply (zenon_L53_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.70/11.92 apply (zenon_L131_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.70/11.92 apply (zenon_L369_); trivial. % 11.70/11.92 apply (zenon_L294_); trivial. % 11.70/11.92 apply (zenon_L367_); trivial. % 11.70/11.92 apply (zenon_L237_); trivial. % 11.70/11.92 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.70/11.92 apply (zenon_L370_); trivial. % 11.70/11.92 apply (zenon_L371_); trivial. % 11.70/11.92 (* end of lemma zenon_L372_ *) % 11.70/11.92 assert (zenon_L373_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H1ee zenon_H117 zenon_H1b1. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H5a. zenon_intro zenon_H1ef. % 11.70/11.92 apply (zenon_L229_); trivial. % 11.70/11.92 (* end of lemma zenon_L373_ *) % 11.70/11.92 assert (zenon_L374_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H1f0 zenon_H117 zenon_H1aa. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H85. zenon_intro zenon_H1f1. % 11.70/11.92 apply (zenon_L340_); trivial. % 11.70/11.92 (* end of lemma zenon_L374_ *) % 11.70/11.92 assert (zenon_L375_ : (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H1f2 zenon_H117 zenon_H225. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H10c. zenon_intro zenon_H1f3. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H10c. zenon_intro zenon_H11d. % 11.70/11.92 apply (zenon_L300_); trivial. % 11.70/11.92 (* end of lemma zenon_L375_ *) % 11.70/11.92 assert (zenon_L376_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.70/11.92 do 0 intro. intros zenon_H11b zenon_Hb4 zenon_Hdf. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H117. zenon_intro zenon_H11c. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H114. zenon_intro zenon_H11d. % 11.70/11.92 apply (zenon_L275_); trivial. % 11.70/11.92 (* end of lemma zenon_L376_ *) % 11.70/11.92 assert (zenon_L377_ : (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H17d zenon_Hdf zenon_H239. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_Hb5. zenon_intro zenon_H17e. % 11.70/11.92 apply (zenon_L339_); trivial. % 11.70/11.92 (* end of lemma zenon_L377_ *) % 11.70/11.92 assert (zenon_L378_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.70/11.92 do 0 intro. intros zenon_H1b3 zenon_H117 zenon_Hb4. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Hdf. zenon_intro zenon_H1b4. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H106. zenon_intro zenon_H1b0. % 11.70/11.92 apply (zenon_L303_); trivial. % 11.70/11.92 (* end of lemma zenon_L378_ *) % 11.70/11.92 assert (zenon_L379_ : (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.70/11.92 do 0 intro. intros zenon_H1ba zenon_H228 zenon_Hdf. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hf9. zenon_intro zenon_H1bb. % 11.70/11.92 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hf9. zenon_intro zenon_H1b0. % 11.70/11.92 apply (zenon_L306_); trivial. % 11.70/11.92 (* end of lemma zenon_L379_ *) % 11.70/11.92 assert (zenon_L380_ : ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))))))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))))))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))))))))))))))))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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 (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((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)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((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)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.70/11.92 do 0 intro. intros zenon_H244 zenon_H215 zenon_H15a zenon_H115 zenon_H196 zenon_H22a zenon_H19e zenon_H84 zenon_H17f zenon_H166 zenon_Hf5 zenon_H95 zenon_H186 zenon_H7e zenon_H212 zenon_H233 zenon_H1bd zenon_Hc3 zenon_H207 zenon_H43 zenon_H130 zenon_H132 zenon_H12e zenon_H1fb zenon_H17a zenon_H1e5 zenon_H89 zenon_H236 zenon_H1fe zenon_H1be zenon_H1ca zenon_H1d0 zenon_H245 zenon_H1f zenon_H176 zenon_H4a zenon_H19a zenon_H1a4 zenon_H157 zenon_Hd4 zenon_H19f zenon_H1e8 zenon_H1cd zenon_Hb1 zenon_H34 zenon_H1dc zenon_H5f zenon_H1c2 zenon_H2e zenon_H6a zenon_H121 zenon_H28 zenon_H1c6 zenon_He1 zenon_H10d zenon_H222 zenon_H21f zenon_H163 zenon_H170 zenon_H173 zenon_H59 zenon_Hab zenon_H204 zenon_H22f zenon_H8d zenon_Hda zenon_H167 zenon_H52 zenon_Hf7 zenon_Hca zenon_H1b1 zenon_H1aa zenon_H225 zenon_H155 zenon_H239 zenon_Hb4 zenon_H117 zenon_H228 zenon_Hdf. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H24 | zenon_intro zenon_H246 ]. % 11.75/11.93 apply (zenon_L295_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H2c | zenon_intro zenon_H247 ]. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1d. zenon_intro zenon_H2d. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2a. zenon_intro zenon_H26. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H219. zenon_intro zenon_H218. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21b. zenon_intro zenon_H21a. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21d. zenon_intro zenon_H21c. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H18c | zenon_intro zenon_H5a ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H217 | zenon_intro zenon_Hd9 ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H29 | zenon_intro zenon_H208 ]. % 11.75/11.93 apply (zenon_L298_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H44 | zenon_intro zenon_H209 ]. % 11.75/11.93 apply (zenon_L309_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H49 | zenon_intro zenon_H51 ]. % 11.75/11.93 apply (zenon_L311_); trivial. % 11.75/11.93 apply (zenon_L313_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.75/11.93 apply (zenon_L27_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.75/11.93 apply (zenon_L314_); trivial. % 11.75/11.93 apply (zenon_L134_); trivial. % 11.75/11.93 apply (zenon_L105_); trivial. % 11.75/11.93 apply (zenon_L229_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H31 | zenon_intro zenon_H248 ]. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H2f. zenon_intro zenon_H32. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H5b. zenon_intro zenon_H26. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H219. zenon_intro zenon_H218. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21b. zenon_intro zenon_H21a. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21d. zenon_intro zenon_H21c. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H237 | zenon_intro zenon_H29 ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H18c | zenon_intro zenon_H5a ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H217 | zenon_intro zenon_Hd9 ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.75/11.93 apply (zenon_L316_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.75/11.93 apply (zenon_L27_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.75/11.93 exact (zenon_H237 zenon_H12c). % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.75/11.93 apply (zenon_L317_); trivial. % 11.75/11.93 apply (zenon_L319_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.75/11.93 apply (zenon_L48_); trivial. % 11.75/11.93 apply (zenon_L134_); trivial. % 11.75/11.93 apply (zenon_L105_); trivial. % 11.75/11.93 apply (zenon_L229_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H18c | zenon_intro zenon_H5a ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H217 | zenon_intro zenon_Hd9 ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.75/11.93 apply (zenon_L320_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.75/11.93 apply (zenon_L305_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.75/11.93 apply (zenon_L318_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.75/11.93 apply (zenon_L60_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.75/11.93 apply (zenon_L151_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.75/11.93 apply (zenon_L304_); trivial. % 11.75/11.93 apply (zenon_L107_); trivial. % 11.75/11.93 apply (zenon_L105_); trivial. % 11.75/11.93 apply (zenon_L20_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H39 | zenon_intro zenon_H249 ]. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H33. zenon_intro zenon_H3a. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H67. zenon_intro zenon_H26. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H219. zenon_intro zenon_H218. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21b. zenon_intro zenon_H21a. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21d. zenon_intro zenon_H21c. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H237 | zenon_intro zenon_H29 ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H18c | zenon_intro zenon_H5a ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H217 | zenon_intro zenon_Hd9 ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.75/11.93 apply (zenon_L323_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.75/11.93 apply (zenon_L49_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.75/11.93 apply (zenon_L330_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.75/11.93 apply (zenon_L290_); trivial. % 11.75/11.93 apply (zenon_L267_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.75/11.93 apply (zenon_L229_); trivial. % 11.75/11.93 apply (zenon_L33_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.75/11.93 apply (zenon_L334_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.75/11.93 apply (zenon_L321_); trivial. % 11.75/11.93 apply (zenon_L335_); trivial. % 11.75/11.93 apply (zenon_L336_); trivial. % 11.75/11.93 apply (zenon_L229_); trivial. % 11.75/11.93 apply (zenon_L333_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H40 | zenon_intro zenon_H24a ]. % 11.75/11.93 apply (zenon_L342_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H47 | zenon_intro zenon_H24b ]. % 11.75/11.93 apply (zenon_L347_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H4f | zenon_intro zenon_H24c ]. % 11.75/11.93 apply (zenon_L357_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H56 | zenon_intro zenon_H24d ]. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H51. zenon_intro zenon_H57. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Hb8. zenon_intro zenon_H42. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1da. zenon_intro zenon_H1d9. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1d6. zenon_intro zenon_H1db. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H85 ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c3 | zenon_intro zenon_Hb5 ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1e | zenon_intro zenon_H24e ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.75/11.93 exact (zenon_H6b zenon_H6d). % 11.75/11.93 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.75/11.93 apply (zenon_L341_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.75/11.93 exact (zenon_H6b zenon_H6d). % 11.75/11.93 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.75/11.93 apply (zenon_L17_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.75/11.93 apply (zenon_L53_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.75/11.93 apply (zenon_L350_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.75/11.93 apply (zenon_L366_); trivial. % 11.75/11.93 apply (zenon_L294_); trivial. % 11.75/11.93 apply (zenon_L367_); trivial. % 11.75/11.93 apply (zenon_L237_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1d | zenon_intro zenon_H24f ]. % 11.75/11.93 apply (zenon_L372_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H2f | zenon_intro zenon_H33 ]. % 11.75/11.93 apply (zenon_L348_); trivial. % 11.75/11.93 apply (zenon_L312_); trivial. % 11.75/11.93 apply (zenon_L339_); trivial. % 11.75/11.93 apply (zenon_L340_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H85 ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c3 | zenon_intro zenon_Hb5 ]. % 11.75/11.93 apply (zenon_L372_); trivial. % 11.75/11.93 apply (zenon_L65_); trivial. % 11.75/11.93 apply (zenon_L340_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ee | zenon_intro zenon_H250 ]. % 11.75/11.93 apply (zenon_L373_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H251 ]. % 11.75/11.93 apply (zenon_L374_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H252 ]. % 11.75/11.93 apply (zenon_L375_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H11b | zenon_intro zenon_H253 ]. % 11.75/11.93 apply (zenon_L376_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H126 | zenon_intro zenon_H254 ]. % 11.75/11.93 apply (zenon_L106_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H17d | zenon_intro zenon_H255 ]. % 11.75/11.93 apply (zenon_L377_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ba ]. % 11.75/11.93 apply (zenon_L378_); trivial. % 11.75/11.93 apply (zenon_L379_); trivial. % 11.75/11.93 (* end of lemma zenon_L380_ *) % 11.75/11.93 assert (zenon_L381_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> False). % 11.75/11.93 do 0 intro. intros zenon_Hab zenon_Hd9 zenon_Hf9. % 11.75/11.93 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e3) (e3)))). % 11.75/11.93 intro zenon_D_pnotp. % 11.75/11.93 apply zenon_Hab. % 11.75/11.93 rewrite <- zenon_D_pnotp. % 11.75/11.93 exact zenon_Hd9. % 11.75/11.93 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H229]. % 11.75/11.93 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.75/11.93 congruence. % 11.75/11.93 apply zenon_Hae. apply refl_equal. % 11.75/11.93 apply zenon_H229. apply sym_equal. exact zenon_Hf9. % 11.75/11.93 (* end of lemma zenon_L381_ *) % 11.75/11.93 assert (zenon_L382_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.75/11.93 do 0 intro. intros zenon_H19f zenon_Hbd zenon_H8d zenon_H2a zenon_Hb4 zenon_H5a zenon_Hab zenon_Hf9. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hbc | zenon_intro zenon_H1a0 ]. % 11.75/11.93 exact (zenon_Hbd zenon_Hbc). % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H135 | zenon_intro zenon_H1a1 ]. % 11.75/11.93 apply (zenon_L96_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd9 ]. % 11.75/11.93 apply (zenon_L124_); trivial. % 11.75/11.93 apply (zenon_L381_); trivial. % 11.75/11.93 (* end of lemma zenon_L382_ *) % 11.75/11.93 assert (zenon_L383_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False). % 11.75/11.93 do 0 intro. intros zenon_H1d1 zenon_H8d zenon_H2f zenon_Hb1 zenon_H49 zenon_He7 zenon_H1ba zenon_H228. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d4 ]. % 11.75/11.93 apply (zenon_L50_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13b | zenon_intro zenon_H1d5 ]. % 11.75/11.93 apply (zenon_L191_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ]. % 11.75/11.93 exact (zenon_He7 zenon_He0). % 11.75/11.93 apply (zenon_L379_); trivial. % 11.75/11.93 (* end of lemma zenon_L383_ *) % 11.75/11.93 assert (zenon_L384_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.75/11.93 do 0 intro. intros zenon_H1e8 zenon_H1bd zenon_H19f zenon_H59 zenon_Hc3 zenon_Hbd zenon_Hab zenon_H28 zenon_H51 zenon_H1be zenon_H204 zenon_He7 zenon_Hcd zenon_H5a zenon_Hb4 zenon_H1d0 zenon_H8d zenon_H2f zenon_Hf9 zenon_H197. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.75/11.93 apply (zenon_L183_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.75/11.93 apply (zenon_L382_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.75/11.93 apply (zenon_L20_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.75/11.93 exact (zenon_Hbd zenon_Hbc). % 11.75/11.93 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.75/11.93 apply (zenon_L278_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.75/11.93 apply (zenon_L50_); trivial. % 11.75/11.93 apply (zenon_L179_); trivial. % 11.75/11.93 (* end of lemma zenon_L384_ *) % 11.75/11.93 assert (zenon_L385_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False). % 11.75/11.93 do 0 intro. intros zenon_H201 zenon_H1b1 zenon_H1bd zenon_H2f zenon_H19f zenon_Hf9 zenon_Hab zenon_H5a zenon_Hb4 zenon_H8d zenon_Hbd zenon_H59 zenon_Hc3 zenon_H197 zenon_Hcd zenon_H204 zenon_H51 zenon_H28 zenon_H1be zenon_H1d0 zenon_H1e8. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_He7 | zenon_intro zenon_H117 ]. % 11.75/11.93 apply (zenon_L384_); trivial. % 11.75/11.93 apply (zenon_L229_); trivial. % 11.75/11.93 (* end of lemma zenon_L385_ *) % 11.75/11.93 assert (zenon_L386_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.75/11.93 do 0 intro. intros zenon_H1e8 zenon_H1d0 zenon_H1be zenon_H28 zenon_H204 zenon_Hcd zenon_Hc3 zenon_H59 zenon_Hbd zenon_Hb4 zenon_H5a zenon_Hab zenon_H19f zenon_H1bd zenon_H1b1 zenon_H201 zenon_H1d1 zenon_Hb1 zenon_He7 zenon_H1ba zenon_H228 zenon_H1fb zenon_H67 zenon_H121 zenon_H12e zenon_H75 zenon_H17a zenon_H207 zenon_H8d zenon_H2f zenon_Hf9 zenon_H197. % 11.75/11.93 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.75/11.93 exact (zenon_Hbd zenon_Hbc). % 11.75/11.93 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H29 | zenon_intro zenon_H208 ]. % 11.75/11.93 apply (zenon_L164_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H44 | zenon_intro zenon_H209 ]. % 11.75/11.93 apply (zenon_L274_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H49 | zenon_intro zenon_H51 ]. % 11.75/11.93 apply (zenon_L383_); trivial. % 11.75/11.93 apply (zenon_L385_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.75/11.93 apply (zenon_L50_); trivial. % 11.75/11.93 apply (zenon_L179_); trivial. % 11.75/11.93 (* end of lemma zenon_L386_ *) % 11.75/11.93 assert (zenon_L387_ : (((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.75/11.93 do 0 intro. intros zenon_H24 zenon_H215 zenon_H33. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H1e. zenon_intro zenon_H25. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H25). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 11.75/11.93 apply (zenon_L291_); trivial. % 11.75/11.93 (* end of lemma zenon_L387_ *) % 11.75/11.93 assert (zenon_L388_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> False). % 11.75/11.93 do 0 intro. intros zenon_H2c zenon_H33 zenon_H34. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1d. zenon_intro zenon_H2d. % 11.75/11.93 apply (zenon_L8_); trivial. % 11.75/11.93 (* end of lemma zenon_L388_ *) % 11.75/11.93 assert (zenon_L389_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False). % 11.75/11.93 do 0 intro. intros zenon_H31 zenon_H33 zenon_H1be. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H2f. zenon_intro zenon_H32. % 11.75/11.93 apply (zenon_L187_); trivial. % 11.75/11.93 (* end of lemma zenon_L389_ *) % 11.75/11.93 assert (zenon_L390_ : (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> False). % 11.75/11.93 do 0 intro. intros zenon_H28 zenon_H49 zenon_H14c. % 11.75/11.93 cut (((op (e1) (e2)) = (e1)) = ((e0) = (e1))). % 11.75/11.93 intro zenon_D_pnotp. % 11.75/11.93 apply zenon_H28. % 11.75/11.93 rewrite <- zenon_D_pnotp. % 11.75/11.93 exact zenon_H49. % 11.75/11.93 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.75/11.93 cut (((op (e1) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H256]. % 11.75/11.93 congruence. % 11.75/11.93 exact (zenon_H256 zenon_H14c). % 11.75/11.93 apply zenon_H27. apply refl_equal. % 11.75/11.93 (* end of lemma zenon_L390_ *) % 11.75/11.93 assert (zenon_L391_ : (~((e0) = (e2))) -> ((op (e1) (e2)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> False). % 11.75/11.93 do 0 intro. intros zenon_H59 zenon_H79 zenon_H14c. % 11.75/11.93 cut (((op (e1) (e2)) = (e2)) = ((e0) = (e2))). % 11.75/11.93 intro zenon_D_pnotp. % 11.75/11.93 apply zenon_H59. % 11.75/11.93 rewrite <- zenon_D_pnotp. % 11.75/11.93 exact zenon_H79. % 11.75/11.93 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.75/11.93 cut (((op (e1) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H256]. % 11.75/11.93 congruence. % 11.75/11.93 exact (zenon_H256 zenon_H14c). % 11.75/11.93 apply zenon_H58. apply refl_equal. % 11.75/11.93 (* end of lemma zenon_L391_ *) % 11.75/11.93 assert (zenon_L392_ : ((op (e2) (e2)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False). % 11.75/11.93 do 0 intro. intros zenon_H10c zenon_H85 zenon_H257. % 11.75/11.93 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H10e | zenon_intro zenon_H10f ]. % 11.75/11.93 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e2) (e1)) = (op (e2) (e2)))). % 11.75/11.93 intro zenon_D_pnotp. % 11.75/11.93 apply zenon_H257. % 11.75/11.93 rewrite <- zenon_D_pnotp. % 11.75/11.93 exact zenon_H10e. % 11.75/11.93 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10f]. % 11.75/11.93 cut (((op (e2) (e2)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H258]. % 11.75/11.93 congruence. % 11.75/11.93 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e2) (e1)))). % 11.75/11.93 intro zenon_D_pnotp. % 11.75/11.93 apply zenon_H258. % 11.75/11.93 rewrite <- zenon_D_pnotp. % 11.75/11.93 exact zenon_H10c. % 11.75/11.93 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 11.75/11.93 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10f]. % 11.75/11.93 congruence. % 11.75/11.93 apply zenon_H10f. apply refl_equal. % 11.75/11.93 apply zenon_H86. apply sym_equal. exact zenon_H85. % 11.75/11.93 apply zenon_H10f. apply refl_equal. % 11.75/11.93 apply zenon_H10f. apply refl_equal. % 11.75/11.93 (* end of lemma zenon_L392_ *) % 11.75/11.93 assert (zenon_L393_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> False). % 11.75/11.93 do 0 intro. intros zenon_H1ca zenon_Hb4 zenon_Hbe zenon_H14c zenon_H59 zenon_H257 zenon_H85 zenon_H5f zenon_H146. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.75/11.93 apply (zenon_L122_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.75/11.93 apply (zenon_L391_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.75/11.93 apply (zenon_L392_); trivial. % 11.75/11.93 apply (zenon_L140_); trivial. % 11.75/11.93 (* end of lemma zenon_L393_ *) % 11.75/11.93 assert (zenon_L394_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False). % 11.75/11.93 do 0 intro. intros zenon_H197 zenon_H33 zenon_Hac. % 11.75/11.93 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e3) (e3)))). % 11.75/11.93 intro zenon_D_pnotp. % 11.75/11.93 apply zenon_H197. % 11.75/11.93 rewrite <- zenon_D_pnotp. % 11.75/11.93 exact zenon_H33. % 11.75/11.93 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Had]. % 11.75/11.93 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.75/11.93 congruence. % 11.75/11.93 apply zenon_H36. apply refl_equal. % 11.75/11.93 apply zenon_Had. apply sym_equal. exact zenon_Hac. % 11.75/11.93 (* end of lemma zenon_L394_ *) % 11.75/11.93 assert (zenon_L395_ : (((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 (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.75/11.93 do 0 intro. intros zenon_H21f zenon_H1e2 zenon_H121 zenon_H29 zenon_H176 zenon_H81 zenon_Hda zenon_Hab zenon_Hf9. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H67 | zenon_intro zenon_H220 ]. % 11.75/11.93 apply (zenon_L273_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H68 | zenon_intro zenon_H221 ]. % 11.75/11.93 apply (zenon_L157_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd9 ]. % 11.75/11.93 apply (zenon_L97_); trivial. % 11.75/11.93 apply (zenon_L381_); trivial. % 11.75/11.93 (* end of lemma zenon_L395_ *) % 11.75/11.93 assert (zenon_L396_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e2)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> (((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 (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.75/11.93 do 0 intro. intros zenon_H22a zenon_H33 zenon_H197 zenon_H1c3 zenon_H146 zenon_H14c zenon_H21f zenon_H1e2 zenon_H121 zenon_H29 zenon_H176 zenon_H81 zenon_Hda zenon_Hab. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_Hac | zenon_intro zenon_H22b ]. % 11.75/11.93 apply (zenon_L394_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H198 | zenon_intro zenon_H22c ]. % 11.75/11.93 exact (zenon_H1c3 zenon_H198). % 11.75/11.93 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H144 | zenon_intro zenon_Hf9 ]. % 11.75/11.93 apply (zenon_L104_); trivial. % 11.75/11.93 apply (zenon_L395_); trivial. % 11.75/11.93 (* end of lemma zenon_L396_ *) % 11.75/11.93 assert (zenon_L397_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False). % 11.75/11.93 do 0 intro. intros zenon_H115 zenon_H14c zenon_H13f. % 11.75/11.93 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (e2)) = (op (e3) (e2)))). % 11.75/11.93 intro zenon_D_pnotp. % 11.75/11.93 apply zenon_H115. % 11.75/11.93 rewrite <- zenon_D_pnotp. % 11.75/11.93 exact zenon_H14c. % 11.75/11.93 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H259]. % 11.75/11.93 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 11.75/11.93 congruence. % 11.75/11.93 apply zenon_H4c. apply refl_equal. % 11.75/11.93 apply zenon_H259. apply sym_equal. exact zenon_H13f. % 11.75/11.93 (* end of lemma zenon_L397_ *) % 11.75/11.93 assert (zenon_L398_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.75/11.93 do 0 intro. intros zenon_H19a zenon_Hd9 zenon_Hb1 zenon_H5f zenon_Hb6 zenon_H49 zenon_H115 zenon_H1c3. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H68 | zenon_intro zenon_H19b ]. % 11.75/11.93 apply (zenon_L117_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H19c ]. % 11.75/11.93 apply (zenon_L45_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H146 | zenon_intro zenon_H198 ]. % 11.75/11.93 apply (zenon_L152_); trivial. % 11.75/11.93 exact (zenon_H1c3 zenon_H198). % 11.75/11.93 (* end of lemma zenon_L398_ *) % 11.75/11.93 assert (zenon_L399_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.75/11.93 do 0 intro. intros zenon_H183 zenon_H13f zenon_H1c3 zenon_H115 zenon_Hb6 zenon_H5f zenon_Hb1 zenon_Hd9 zenon_H19a zenon_H10d zenon_H10c zenon_H78 zenon_Hbe. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H14c | zenon_intro zenon_H184 ]. % 11.75/11.93 apply (zenon_L397_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H49 | zenon_intro zenon_H185 ]. % 11.75/11.93 apply (zenon_L398_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H79 | zenon_intro zenon_H13b ]. % 11.75/11.93 apply (zenon_L78_); trivial. % 11.75/11.93 apply (zenon_L132_); trivial. % 11.75/11.93 (* end of lemma zenon_L399_ *) % 11.75/11.93 assert (zenon_L400_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e2)) = (e0)) -> (~((e1) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.75/11.93 do 0 intro. intros zenon_H15a zenon_Hb4 zenon_H19a zenon_Hd9 zenon_Hb1 zenon_H1c3 zenon_H13f zenon_H5f zenon_H183 zenon_H146 zenon_H115 zenon_H10d zenon_H10c zenon_H78 zenon_Hbe. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.75/11.93 apply (zenon_L149_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.75/11.93 apply (zenon_L399_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.75/11.93 apply (zenon_L140_); trivial. % 11.75/11.93 apply (zenon_L153_); trivial. % 11.75/11.93 (* end of lemma zenon_L400_ *) % 11.75/11.93 assert (zenon_L401_ : (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False). % 11.75/11.93 do 0 intro. intros zenon_H40 zenon_H51 zenon_H52. % 11.75/11.93 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H29. zenon_intro zenon_H41. % 11.75/11.93 apply (zenon_L17_); trivial. % 11.75/11.93 (* end of lemma zenon_L401_ *) % 11.75/11.93 assert (zenon_L402_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.75/11.93 do 0 intro. intros zenon_H1c2 zenon_H3c zenon_H34 zenon_H52 zenon_H40 zenon_H117 zenon_H5f zenon_H1c3. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H63 | zenon_intro zenon_H1c4 ]. % 11.75/11.93 apply (zenon_L22_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H51 | zenon_intro zenon_H1c5 ]. % 11.75/11.93 apply (zenon_L401_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_He8 | zenon_intro zenon_H198 ]. % 11.75/11.93 apply (zenon_L107_); trivial. % 11.75/11.93 exact (zenon_H1c3 zenon_H198). % 11.75/11.93 (* end of lemma zenon_L402_ *) % 11.75/11.93 assert (zenon_L403_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.75/11.93 do 0 intro. intros zenon_H158 zenon_H5b zenon_H257 zenon_H59 zenon_H1ca zenon_H33 zenon_H197 zenon_H15a zenon_Hb4 zenon_H19a zenon_Hd9 zenon_Hb1 zenon_H183 zenon_H146 zenon_H115 zenon_H10d zenon_H78 zenon_Hbe zenon_H22a zenon_H14c zenon_H21f zenon_H121 zenon_H29 zenon_H176 zenon_H81 zenon_Hda zenon_Hab zenon_H8d zenon_H222 zenon_H1c2 zenon_H3c zenon_H34 zenon_H52 zenon_H40 zenon_H5f zenon_H1c3. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H5a | zenon_intro zenon_H15d ]. % 11.75/11.93 apply (zenon_L20_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H85 | zenon_intro zenon_H15e ]. % 11.75/11.93 apply (zenon_L393_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ]. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.75/11.93 apply (zenon_L120_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.75/11.93 apply (zenon_L396_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.75/11.93 apply (zenon_L400_); trivial. % 11.75/11.93 apply (zenon_L394_); trivial. % 11.75/11.93 apply (zenon_L402_); trivial. % 11.75/11.93 (* end of lemma zenon_L403_ *) % 11.75/11.93 assert (zenon_L404_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.75/11.93 do 0 intro. intros zenon_H1cd zenon_H28 zenon_H1c7 zenon_H158 zenon_H5b zenon_H257 zenon_H59 zenon_H1ca zenon_H33 zenon_H197 zenon_H15a zenon_Hb4 zenon_H19a zenon_Hd9 zenon_Hb1 zenon_H183 zenon_H115 zenon_H10d zenon_H78 zenon_Hbe zenon_H22a zenon_H14c zenon_H21f zenon_H121 zenon_H29 zenon_H176 zenon_H81 zenon_Hda zenon_Hab zenon_H8d zenon_H222 zenon_H1c2 zenon_H3c zenon_H34 zenon_H52 zenon_H40 zenon_H5f zenon_H1c3. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.75/11.93 apply (zenon_L76_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.75/11.93 apply (zenon_L390_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.75/11.93 exact (zenon_H1c7 zenon_Hd5). % 11.75/11.93 apply (zenon_L403_); trivial. % 11.75/11.93 (* end of lemma zenon_L404_ *) % 11.75/11.93 assert (zenon_L405_ : (((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)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.75/11.93 do 0 intro. intros zenon_H19a zenon_H29 zenon_H176 zenon_H17a zenon_H3c zenon_H49 zenon_H115 zenon_H1c3. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H68 | zenon_intro zenon_H19b ]. % 11.75/11.93 apply (zenon_L157_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H19c ]. % 11.75/11.93 apply (zenon_L236_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H146 | zenon_intro zenon_H198 ]. % 11.75/11.93 apply (zenon_L152_); trivial. % 11.75/11.93 exact (zenon_H1c3 zenon_H198). % 11.75/11.93 (* end of lemma zenon_L405_ *) % 11.75/11.93 assert (zenon_L406_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.75/11.93 do 0 intro. intros zenon_H6a zenon_H6b zenon_H3c zenon_H17a zenon_H176 zenon_H1c3 zenon_H115 zenon_H49 zenon_Haf zenon_H1a4 zenon_H170 zenon_H19a zenon_Hb1 zenon_Hd9. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.75/11.93 exact (zenon_H6b zenon_H6d). % 11.75/11.93 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.75/11.93 apply (zenon_L405_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.75/11.93 apply (zenon_L223_); trivial. % 11.75/11.93 apply (zenon_L117_); trivial. % 11.75/11.93 (* end of lemma zenon_L406_ *) % 11.75/11.93 assert (zenon_L407_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e2) (e1)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.75/11.93 do 0 intro. intros zenon_H1cd zenon_H170 zenon_H1a4 zenon_H176 zenon_H17a zenon_H6b zenon_H6a zenon_H1c7 zenon_H158 zenon_Hc7 zenon_H81 zenon_Haf zenon_Hbe zenon_H78 zenon_H10d zenon_H115 zenon_H183 zenon_H13f zenon_Hb1 zenon_Hd9 zenon_H19a zenon_Hb4 zenon_H15a zenon_H1c2 zenon_H3c zenon_H34 zenon_H52 zenon_H40 zenon_H5f zenon_H1c3. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.75/11.93 apply (zenon_L76_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.75/11.93 apply (zenon_L406_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.75/11.93 exact (zenon_H1c7 zenon_Hd5). % 11.75/11.93 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H5a | zenon_intro zenon_H15d ]. % 11.75/11.93 apply (zenon_L54_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H85 | zenon_intro zenon_H15e ]. % 11.75/11.93 apply (zenon_L59_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ]. % 11.75/11.93 apply (zenon_L400_); trivial. % 11.75/11.93 apply (zenon_L402_); trivial. % 11.75/11.93 (* end of lemma zenon_L407_ *) % 11.75/11.93 assert (zenon_L408_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.75/11.93 do 0 intro. intros zenon_H6a zenon_H6b zenon_H1c3 zenon_H115 zenon_H49 zenon_H3c zenon_H17a zenon_H176 zenon_H19a zenon_H28 zenon_H5b zenon_Hb1 zenon_Hd9. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.75/11.93 exact (zenon_H6b zenon_H6d). % 11.75/11.93 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.75/11.93 apply (zenon_L405_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.75/11.93 apply (zenon_L60_); trivial. % 11.75/11.93 apply (zenon_L117_); trivial. % 11.75/11.93 (* end of lemma zenon_L408_ *) % 11.75/11.93 assert (zenon_L409_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False). % 11.75/11.93 do 0 intro. intros zenon_H239 zenon_H1e2 zenon_H13f. % 11.75/11.93 cut (((op (e3) (e1)) = (e0)) = ((op (e3) (e1)) = (op (e3) (e2)))). % 11.75/11.93 intro zenon_D_pnotp. % 11.75/11.93 apply zenon_H239. % 11.75/11.93 rewrite <- zenon_D_pnotp. % 11.75/11.93 exact zenon_H1e2. % 11.75/11.93 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H259]. % 11.75/11.93 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 11.75/11.93 congruence. % 11.75/11.93 apply zenon_H123. apply refl_equal. % 11.75/11.93 apply zenon_H259. apply sym_equal. exact zenon_H13f. % 11.75/11.93 (* end of lemma zenon_L409_ *) % 11.75/11.93 assert (zenon_L410_ : (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False). % 11.75/11.93 do 0 intro. intros zenon_H1a4 zenon_H85 zenon_Hb6. % 11.75/11.93 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e3) (e1)))). % 11.75/11.93 intro zenon_D_pnotp. % 11.75/11.93 apply zenon_H1a4. % 11.75/11.93 rewrite <- zenon_D_pnotp. % 11.75/11.93 exact zenon_H85. % 11.75/11.93 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1fa]. % 11.75/11.93 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 11.75/11.93 congruence. % 11.75/11.93 apply zenon_Hcf. apply refl_equal. % 11.75/11.93 apply zenon_H1fa. apply sym_equal. exact zenon_Hb6. % 11.75/11.93 (* end of lemma zenon_L410_ *) % 11.75/11.93 assert (zenon_L411_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.75/11.93 do 0 intro. intros zenon_H1fb zenon_H13f zenon_H239 zenon_H17a zenon_H3c zenon_H85 zenon_H1a4 zenon_Hd9 zenon_H121. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fc ]. % 11.75/11.93 apply (zenon_L409_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1fd ]. % 11.75/11.93 apply (zenon_L236_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ]. % 11.75/11.93 apply (zenon_L410_); trivial. % 11.75/11.93 apply (zenon_L87_); trivial. % 11.75/11.93 (* end of lemma zenon_L411_ *) % 11.75/11.93 assert (zenon_L412_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e1)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e1)) -> False). % 11.75/11.93 do 0 intro. intros zenon_H158 zenon_Hc7 zenon_H81 zenon_H121 zenon_H1a4 zenon_H3c zenon_H17a zenon_H239 zenon_H1fb zenon_Hbe zenon_H78 zenon_H10d zenon_H115 zenon_H146 zenon_H183 zenon_H13f zenon_H1c3 zenon_Hb1 zenon_Hd9 zenon_H19a zenon_Hb4 zenon_H15a zenon_H5f zenon_He8. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H5a | zenon_intro zenon_H15d ]. % 11.75/11.93 apply (zenon_L54_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H85 | zenon_intro zenon_H15e ]. % 11.75/11.93 apply (zenon_L411_); trivial. % 11.75/11.93 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ]. % 11.75/11.94 apply (zenon_L400_); trivial. % 11.75/11.94 apply (zenon_L107_); trivial. % 11.75/11.94 (* end of lemma zenon_L412_ *) % 11.75/11.94 assert (zenon_L413_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e1)) -> False). % 11.75/11.94 do 0 intro. intros zenon_H1cd zenon_H5b zenon_H28 zenon_H176 zenon_H6b zenon_H6a zenon_H1c7 zenon_H158 zenon_Hc7 zenon_H81 zenon_H121 zenon_H1a4 zenon_H3c zenon_H17a zenon_H239 zenon_H1fb zenon_Hbe zenon_H78 zenon_H10d zenon_H115 zenon_H183 zenon_H13f zenon_H1c3 zenon_Hb1 zenon_Hd9 zenon_H19a zenon_Hb4 zenon_H15a zenon_H5f zenon_He8. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.75/11.94 apply (zenon_L76_); trivial. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.75/11.94 apply (zenon_L408_); trivial. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.75/11.94 exact (zenon_H1c7 zenon_Hd5). % 11.75/11.94 apply (zenon_L412_); trivial. % 11.75/11.94 (* end of lemma zenon_L413_ *) % 11.75/11.94 assert (zenon_L414_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> False). % 11.75/11.94 do 0 intro. intros zenon_H157 zenon_H29 zenon_H70 zenon_H40 zenon_H52 zenon_H34 zenon_H1c2 zenon_H170 zenon_H1cd zenon_H5b zenon_H28 zenon_H176 zenon_H6b zenon_H6a zenon_H1c7 zenon_H158 zenon_Hc7 zenon_H81 zenon_H121 zenon_H1a4 zenon_H3c zenon_H17a zenon_H239 zenon_H1fb zenon_Hbe zenon_H78 zenon_H10d zenon_H115 zenon_H183 zenon_H13f zenon_H1c3 zenon_Hb1 zenon_Hd9 zenon_H19a zenon_Hb4 zenon_H15a zenon_H5f. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.75/11.94 apply (zenon_L90_); trivial. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.75/11.94 apply (zenon_L407_); trivial. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.75/11.94 exact (zenon_H1c7 zenon_Hd5). % 11.75/11.94 apply (zenon_L413_); trivial. % 11.75/11.94 (* end of lemma zenon_L414_ *) % 11.75/11.94 assert (zenon_L415_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.75/11.94 do 0 intro. intros zenon_H89 zenon_H1bd zenon_H5e zenon_H5f zenon_H29 zenon_H5b zenon_H59 zenon_Hb4 zenon_Hd9. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.75/11.94 apply (zenon_L310_); trivial. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.75/11.94 apply (zenon_L31_); trivial. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.75/11.94 apply (zenon_L20_); trivial. % 11.75/11.94 apply (zenon_L149_); trivial. % 11.75/11.94 (* end of lemma zenon_L415_ *) % 11.75/11.94 assert (zenon_L416_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.75/11.94 do 0 intro. intros zenon_H33 zenon_H7c zenon_H59. % 11.75/11.94 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H58 ]. % 11.75/11.94 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.75/11.94 intro zenon_D_pnotp. % 11.75/11.94 apply zenon_H59. % 11.75/11.94 rewrite <- zenon_D_pnotp. % 11.75/11.94 exact zenon_H60. % 11.75/11.94 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.75/11.94 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 11.75/11.94 congruence. % 11.75/11.94 cut (((op (e0) (e3)) = (e0)) = ((e2) = (e0))). % 11.75/11.94 intro zenon_D_pnotp. % 11.75/11.94 apply zenon_H76. % 11.75/11.94 rewrite <- zenon_D_pnotp. % 11.75/11.94 exact zenon_H33. % 11.75/11.94 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.75/11.94 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 11.75/11.94 congruence. % 11.75/11.94 exact (zenon_H7d zenon_H7c). % 11.75/11.94 apply zenon_H3b. apply refl_equal. % 11.75/11.94 apply zenon_H58. apply refl_equal. % 11.75/11.94 apply zenon_H58. apply refl_equal. % 11.75/11.94 (* end of lemma zenon_L416_ *) % 11.75/11.94 assert (zenon_L417_ : (((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) (e1)) = (e0)) -> (~((e0) = (e1))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.75/11.94 do 0 intro. intros zenon_H19a zenon_H29 zenon_H176 zenon_H1e2 zenon_H28 zenon_H114 zenon_H5f zenon_H1c3. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H68 | zenon_intro zenon_H19b ]. % 11.75/11.94 apply (zenon_L157_); trivial. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H19c ]. % 11.75/11.94 apply (zenon_L264_); trivial. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H146 | zenon_intro zenon_H198 ]. % 11.75/11.94 apply (zenon_L140_); trivial. % 11.75/11.94 exact (zenon_H1c3 zenon_H198). % 11.75/11.94 (* end of lemma zenon_L417_ *) % 11.75/11.94 assert (zenon_L418_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e2)) = (e0)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.75/11.94 do 0 intro. intros zenon_H1ca zenon_Hb4 zenon_Hbe zenon_H14c zenon_H257 zenon_H85 zenon_H222 zenon_Hd9 zenon_H8d zenon_H1c3 zenon_H5f zenon_H28 zenon_H176 zenon_H29 zenon_H19a zenon_H59 zenon_H197 zenon_H33. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.75/11.94 apply (zenon_L122_); trivial. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.75/11.94 apply (zenon_L391_); trivial. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.75/11.94 apply (zenon_L392_); trivial. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.75/11.94 apply (zenon_L120_); trivial. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.75/11.94 apply (zenon_L417_); trivial. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.75/11.94 apply (zenon_L158_); trivial. % 11.75/11.94 apply (zenon_L394_); trivial. % 11.75/11.94 (* end of lemma zenon_L418_ *) % 11.75/11.94 assert (zenon_L419_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False). % 11.75/11.94 do 0 intro. intros zenon_H1db zenon_H215 zenon_H33 zenon_H28 zenon_H29 zenon_Hc3 zenon_H8d zenon_H1ca zenon_Hd9 zenon_H19a zenon_H5f zenon_H176 zenon_H197 zenon_H222 zenon_H85 zenon_H257 zenon_H59 zenon_Hb4 zenon_H163 zenon_H1fb zenon_H121 zenon_H1a4 zenon_H17a zenon_H239 zenon_H167 zenon_H3c zenon_Hb1 zenon_Hbd zenon_H1e8. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c3 | zenon_intro zenon_Hb5 ]. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.75/11.94 apply (zenon_L291_); trivial. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.75/11.94 apply (zenon_L4_); trivial. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.75/11.94 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.75/11.94 exact (zenon_Hbd zenon_Hbc). % 11.75/11.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.75/11.94 apply (zenon_L210_); trivial. % 11.75/11.94 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.75/11.94 apply (zenon_L50_); trivial. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.75/11.94 apply (zenon_L418_); trivial. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.75/11.94 apply (zenon_L109_); trivial. % 11.75/11.94 apply (zenon_L411_); trivial. % 11.75/11.94 apply (zenon_L267_); trivial. % 11.75/11.94 apply (zenon_L120_); trivial. % 11.75/11.94 apply (zenon_L87_); trivial. % 11.75/11.94 (* end of lemma zenon_L419_ *) % 11.75/11.94 assert (zenon_L420_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False). % 11.75/11.94 do 0 intro. intros zenon_H212 zenon_H5d zenon_H146. % 11.75/11.94 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e3) (e2)))). % 11.75/11.94 intro zenon_D_pnotp. % 11.75/11.94 apply zenon_H212. % 11.75/11.94 rewrite <- zenon_D_pnotp. % 11.75/11.94 exact zenon_H5d. % 11.75/11.94 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1a7]. % 11.75/11.94 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 11.75/11.94 congruence. % 11.75/11.94 apply zenon_H7b. apply refl_equal. % 11.75/11.94 apply zenon_H1a7. apply sym_equal. exact zenon_H146. % 11.75/11.94 (* end of lemma zenon_L420_ *) % 11.75/11.94 assert (zenon_L421_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False). % 11.75/11.94 do 0 intro. intros zenon_H1db zenon_H121 zenon_H6b zenon_H130 zenon_H44 zenon_H19a zenon_H212 zenon_H12e zenon_Hd9 zenon_Hb1 zenon_H28 zenon_H33 zenon_Hca. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c3 | zenon_intro zenon_Hb5 ]. % 11.75/11.94 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.75/11.94 exact (zenon_H6b zenon_H6d). % 11.75/11.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.75/11.94 apply (zenon_L214_); trivial. % 11.75/11.94 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H68 | zenon_intro zenon_H19b ]. % 11.75/11.94 apply (zenon_L117_); trivial. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H19c ]. % 11.75/11.94 apply (zenon_L93_); trivial. % 11.75/11.94 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H146 | zenon_intro zenon_H198 ]. % 11.75/11.94 apply (zenon_L420_); trivial. % 11.75/11.94 exact (zenon_H1c3 zenon_H198). % 11.75/11.94 apply (zenon_L335_); trivial. % 11.75/11.94 apply (zenon_L87_); trivial. % 11.75/11.94 (* end of lemma zenon_L421_ *) % 11.75/11.94 assert (zenon_L422_ : (((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (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) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.75/11.94 do 0 intro. intros zenon_H47 zenon_H34 zenon_Hca zenon_H33 zenon_H28 zenon_Hb1 zenon_Hd9 zenon_H12e zenon_H212 zenon_H19a zenon_H130 zenon_H121. % 11.75/11.94 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H44. zenon_intro zenon_H48. % 11.75/11.94 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H44. zenon_intro zenon_H42. % 11.75/11.94 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7. % 11.75/11.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1da. zenon_intro zenon_H1d9. % 11.75/11.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1d6. zenon_intro zenon_H1db. % 11.77/11.94 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 11.77/11.94 apply (zenon_L421_); trivial. % 11.77/11.94 apply (zenon_L8_); trivial. % 11.77/11.94 (* end of lemma zenon_L422_ *) % 11.77/11.94 assert (zenon_L423_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.77/11.94 do 0 intro. intros zenon_H4f zenon_H34 zenon_Hca zenon_H33 zenon_H28 zenon_H78 zenon_H19a zenon_H115 zenon_H17a zenon_H176 zenon_H1a4 zenon_H170 zenon_Hb1 zenon_Hd9 zenon_H6a zenon_H121. % 11.77/11.94 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H49. zenon_intro zenon_H50. % 11.77/11.94 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_Haf. zenon_intro zenon_H42. % 11.77/11.94 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7. % 11.77/11.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1da. zenon_intro zenon_H1d9. % 11.77/11.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1d6. zenon_intro zenon_H1db. % 11.77/11.94 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 11.77/11.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c3 | zenon_intro zenon_Hb5 ]. % 11.77/11.94 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.77/11.94 exact (zenon_H6b zenon_H6d). % 11.77/11.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.77/11.94 apply (zenon_L406_); trivial. % 11.77/11.94 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.77/11.94 apply (zenon_L221_); trivial. % 11.77/11.94 apply (zenon_L335_); trivial. % 11.77/11.94 apply (zenon_L87_); trivial. % 11.77/11.94 apply (zenon_L8_); trivial. % 11.77/11.94 (* end of lemma zenon_L423_ *) % 11.77/11.94 assert (zenon_L424_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.77/11.94 do 0 intro. intros zenon_H22f zenon_H8d zenon_H33 zenon_Hb1 zenon_H51 zenon_Hb4 zenon_H117 zenon_Hab zenon_Hd9. % 11.77/11.94 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H230 ]. % 11.77/11.94 apply (zenon_L267_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hfa | zenon_intro zenon_H231 ]. % 11.77/11.95 apply (zenon_L172_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H106 | zenon_intro zenon_Hf9 ]. % 11.77/11.95 apply (zenon_L303_); trivial. % 11.77/11.95 apply (zenon_L381_); trivial. % 11.77/11.95 (* end of lemma zenon_L424_ *) % 11.77/11.95 assert (zenon_L425_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.77/11.95 do 0 intro. intros zenon_H158 zenon_H65 zenon_H5f zenon_Hcd zenon_H75 zenon_H10d zenon_H79 zenon_H22f zenon_H8d zenon_H33 zenon_Hb1 zenon_H51 zenon_Hb4 zenon_Hab zenon_Hd9. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H5a | zenon_intro zenon_H15d ]. % 11.77/11.95 apply (zenon_L23_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H85 | zenon_intro zenon_H15e ]. % 11.77/11.95 apply (zenon_L57_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ]. % 11.77/11.95 apply (zenon_L78_); trivial. % 11.77/11.95 apply (zenon_L424_); trivial. % 11.77/11.95 (* end of lemma zenon_L425_ *) % 11.77/11.95 assert (zenon_L426_ : (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e0)) -> False). % 11.77/11.95 do 0 intro. intros zenon_H59 zenon_H85 zenon_H189. % 11.77/11.95 cut (((op (e2) (e1)) = (e2)) = ((e0) = (e2))). % 11.77/11.95 intro zenon_D_pnotp. % 11.77/11.95 apply zenon_H59. % 11.77/11.95 rewrite <- zenon_D_pnotp. % 11.77/11.95 exact zenon_H85. % 11.77/11.95 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.77/11.95 cut (((op (e2) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H18a]. % 11.77/11.95 congruence. % 11.77/11.95 exact (zenon_H18a zenon_H189). % 11.77/11.95 apply zenon_H58. apply refl_equal. % 11.77/11.95 (* end of lemma zenon_L426_ *) % 11.77/11.95 assert (zenon_L427_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H25a zenon_H33 zenon_H215 zenon_H6b zenon_H1bd zenon_H5e zenon_Hd9 zenon_Hda. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H1e | zenon_intro zenon_H25b ]. % 11.77/11.95 apply (zenon_L291_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6d | zenon_intro zenon_H25c ]. % 11.77/11.95 exact (zenon_H6b zenon_H6d). % 11.77/11.95 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H81 | zenon_intro zenon_Hbc ]. % 11.77/11.95 apply (zenon_L310_); trivial. % 11.77/11.95 apply (zenon_L64_); trivial. % 11.77/11.95 (* end of lemma zenon_L427_ *) % 11.77/11.95 assert (zenon_L428_ : (((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) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H6a zenon_H6b zenon_H52 zenon_H51 zenon_H28 zenon_H5b zenon_Hb8 zenon_H121. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.77/11.95 exact (zenon_H6b zenon_H6d). % 11.77/11.95 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.77/11.95 apply (zenon_L17_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.77/11.95 apply (zenon_L60_); trivial. % 11.77/11.95 apply (zenon_L367_); trivial. % 11.77/11.95 (* end of lemma zenon_L428_ *) % 11.77/11.95 assert (zenon_L429_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> False). % 11.77/11.95 do 0 intro. intros zenon_H212 zenon_H5e zenon_H114. % 11.77/11.95 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e3) (e2)))). % 11.77/11.95 intro zenon_D_pnotp. % 11.77/11.95 apply zenon_H212. % 11.77/11.95 rewrite <- zenon_D_pnotp. % 11.77/11.95 exact zenon_H5e. % 11.77/11.95 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H139]. % 11.77/11.95 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 11.77/11.95 congruence. % 11.77/11.95 apply zenon_H7b. apply refl_equal. % 11.77/11.95 apply zenon_H139. apply sym_equal. exact zenon_H114. % 11.77/11.95 (* end of lemma zenon_L429_ *) % 11.77/11.95 assert (zenon_L430_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H15a zenon_Hd9 zenon_Hb4 zenon_H75 zenon_H17a zenon_H5e zenon_H212 zenon_H145. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.77/11.95 apply (zenon_L149_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.77/11.95 apply (zenon_L249_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.77/11.95 apply (zenon_L429_); trivial. % 11.77/11.95 exact (zenon_H145 zenon_H144). % 11.77/11.95 (* end of lemma zenon_L430_ *) % 11.77/11.95 assert (zenon_L431_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e2)) -> ((op (e2) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H22a zenon_H33 zenon_H197 zenon_Hb6 zenon_H189 zenon_H145 zenon_H19f zenon_Hbd zenon_H8d zenon_H2a zenon_Hb4 zenon_H5a zenon_Hab. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_Hac | zenon_intro zenon_H22b ]. % 11.77/11.95 apply (zenon_L394_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H198 | zenon_intro zenon_H22c ]. % 11.77/11.95 apply (zenon_L284_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H144 | zenon_intro zenon_Hf9 ]. % 11.77/11.95 exact (zenon_H145 zenon_H144). % 11.77/11.95 apply (zenon_L382_); trivial. % 11.77/11.95 (* end of lemma zenon_L431_ *) % 11.77/11.95 assert (zenon_L432_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False). % 11.77/11.95 do 0 intro. intros zenon_H132 zenon_H2a zenon_H29 zenon_H43 zenon_H96 zenon_H130 zenon_H8c. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H12c | zenon_intro zenon_H133 ]. % 11.77/11.95 apply (zenon_L92_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H44 | zenon_intro zenon_H134 ]. % 11.77/11.95 apply (zenon_L13_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H99 | zenon_intro zenon_H9b ]. % 11.77/11.95 exact (zenon_H96 zenon_H99). % 11.77/11.95 apply (zenon_L328_); trivial. % 11.77/11.95 (* end of lemma zenon_L432_ *) % 11.77/11.95 assert (zenon_L433_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H15a zenon_Hd9 zenon_Hb4 zenon_H75 zenon_H17a zenon_H115 zenon_H79 zenon_H145. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.77/11.95 apply (zenon_L149_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.77/11.95 apply (zenon_L249_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.77/11.95 apply (zenon_L83_); trivial. % 11.77/11.95 exact (zenon_H145 zenon_H144). % 11.77/11.95 (* end of lemma zenon_L433_ *) % 11.77/11.95 assert (zenon_L434_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H25d zenon_H155 zenon_H7f zenon_H15a zenon_H79 zenon_H115 zenon_H17a zenon_Hd9 zenon_Hb4 zenon_H78 zenon_H59 zenon_H33 zenon_H7e. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H145 | zenon_intro zenon_Hdf ]. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/11.95 exact (zenon_H7f zenon_H81). % 11.77/11.95 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/11.95 apply (zenon_L433_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/11.95 apply (zenon_L28_); trivial. % 11.77/11.95 apply (zenon_L416_); trivial. % 11.77/11.95 apply (zenon_L105_); trivial. % 11.77/11.95 (* end of lemma zenon_L434_ *) % 11.77/11.95 assert (zenon_L435_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False). % 11.77/11.95 do 0 intro. intros zenon_H25e zenon_Hab zenon_H5a zenon_Hb4 zenon_H2a zenon_H8d zenon_Hbd zenon_H19f zenon_H145 zenon_H197 zenon_H33 zenon_H22a zenon_He8 zenon_H1aa zenon_Hb6 zenon_H1a4 zenon_Hcd zenon_H8c. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H189 | zenon_intro zenon_H25f ]. % 11.77/11.95 apply (zenon_L431_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_Haf | zenon_intro zenon_H260 ]. % 11.77/11.95 apply (zenon_L167_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 11.77/11.95 apply (zenon_L410_); trivial. % 11.77/11.95 apply (zenon_L225_); trivial. % 11.77/11.95 (* end of lemma zenon_L435_ *) % 11.77/11.95 assert (zenon_L436_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.77/11.95 do 0 intro. intros zenon_H89 zenon_H5f zenon_H6d zenon_H59 zenon_H2a zenon_H85 zenon_H84 zenon_Hb4 zenon_Hd9. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.77/11.95 apply (zenon_L47_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.77/11.95 apply (zenon_L128_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.77/11.95 apply (zenon_L32_); trivial. % 11.77/11.95 apply (zenon_L149_); trivial. % 11.77/11.95 (* end of lemma zenon_L436_ *) % 11.77/11.95 assert (zenon_L437_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e3) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> False). % 11.77/11.95 do 0 intro. intros zenon_H25e zenon_H198 zenon_Hb6 zenon_H17f zenon_H44 zenon_Hd9 zenon_Hb4 zenon_H84 zenon_H2a zenon_H59 zenon_H6d zenon_H5f zenon_H89 zenon_H1e2 zenon_Hd5. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H189 | zenon_intro zenon_H25f ]. % 11.77/11.95 apply (zenon_L284_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_Haf | zenon_intro zenon_H260 ]. % 11.77/11.95 apply (zenon_L215_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 11.77/11.95 apply (zenon_L436_); trivial. % 11.77/11.95 apply (zenon_L247_); trivial. % 11.77/11.95 (* end of lemma zenon_L437_ *) % 11.77/11.95 assert (zenon_L438_ : (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False). % 11.77/11.95 do 0 intro. intros zenon_H10d zenon_H49 zenon_Hd5. % 11.77/11.95 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e2) (e2)))). % 11.77/11.95 intro zenon_D_pnotp. % 11.77/11.95 apply zenon_H10d. % 11.77/11.95 rewrite <- zenon_D_pnotp. % 11.77/11.95 exact zenon_H49. % 11.77/11.95 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hd6]. % 11.77/11.95 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 11.77/11.95 congruence. % 11.77/11.95 apply zenon_H4c. apply refl_equal. % 11.77/11.95 apply zenon_Hd6. apply sym_equal. exact zenon_Hd5. % 11.77/11.95 (* end of lemma zenon_L438_ *) % 11.77/11.95 assert (zenon_L439_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H159 zenon_H1e2 zenon_H239 zenon_H49 zenon_H115 zenon_H5e zenon_H212 zenon_He0 zenon_He1. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13f | zenon_intro zenon_H161 ]. % 11.77/11.95 apply (zenon_L409_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H146 | zenon_intro zenon_H162 ]. % 11.77/11.95 apply (zenon_L152_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H114 | zenon_intro zenon_Hdf ]. % 11.77/11.95 apply (zenon_L429_); trivial. % 11.77/11.95 apply (zenon_L66_); trivial. % 11.77/11.95 (* end of lemma zenon_L439_ *) % 11.77/11.95 assert (zenon_L440_ : (((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)))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H15a zenon_H5a zenon_H170 zenon_H5f zenon_Hb8 zenon_H13f zenon_H59 zenon_H145. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.77/11.95 apply (zenon_L129_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.77/11.95 apply (zenon_L45_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.77/11.95 apply (zenon_L158_); trivial. % 11.77/11.95 exact (zenon_H145 zenon_H144). % 11.77/11.95 (* end of lemma zenon_L440_ *) % 11.77/11.95 assert (zenon_L441_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((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)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H166 zenon_H236 zenon_H28 zenon_H168 zenon_H176 zenon_H130 zenon_H157 zenon_Hf5 zenon_H1b1 zenon_H1aa zenon_H189 zenon_H1ac zenon_H10d zenon_H1d0 zenon_H8c zenon_Hcd zenon_H33 zenon_H197 zenon_H15a zenon_H5a zenon_H170 zenon_H5f zenon_H59 zenon_H145 zenon_H159 zenon_H239 zenon_H49 zenon_H115 zenon_H5e zenon_H212 zenon_He1 zenon_H8d zenon_Hd9 zenon_H222 zenon_Hb1. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.95 apply (zenon_L210_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.95 apply (zenon_L326_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.95 apply (zenon_L136_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.77/11.95 apply (zenon_L119_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.77/11.95 apply (zenon_L328_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.77/11.95 apply (zenon_L191_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.77/11.95 apply (zenon_L23_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.77/11.95 apply (zenon_L230_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.77/11.95 apply (zenon_L438_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.77/11.95 apply (zenon_L114_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.77/11.95 apply (zenon_L225_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.77/11.95 apply (zenon_L120_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.77/11.95 apply (zenon_L439_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.77/11.95 apply (zenon_L440_); trivial. % 11.77/11.95 apply (zenon_L394_); trivial. % 11.77/11.95 apply (zenon_L75_); trivial. % 11.77/11.95 (* end of lemma zenon_L441_ *) % 11.77/11.95 assert (zenon_L442_ : ((op (e3) (e2)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False). % 11.77/11.95 do 0 intro. intros zenon_Hdf zenon_H13b zenon_H115. % 11.77/11.95 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_He2 | zenon_intro zenon_He3 ]. % 11.77/11.95 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e1) (e2)) = (op (e3) (e2)))). % 11.77/11.95 intro zenon_D_pnotp. % 11.77/11.95 apply zenon_H115. % 11.77/11.95 rewrite <- zenon_D_pnotp. % 11.77/11.95 exact zenon_He2. % 11.77/11.95 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 11.77/11.95 cut (((op (e3) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 11.77/11.95 congruence. % 11.77/11.95 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e1) (e2)))). % 11.77/11.95 intro zenon_D_pnotp. % 11.77/11.95 apply zenon_H116. % 11.77/11.95 rewrite <- zenon_D_pnotp. % 11.77/11.95 exact zenon_Hdf. % 11.77/11.95 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H182]. % 11.77/11.95 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 11.77/11.95 congruence. % 11.77/11.95 apply zenon_He3. apply refl_equal. % 11.77/11.95 apply zenon_H182. apply sym_equal. exact zenon_H13b. % 11.77/11.95 apply zenon_He3. apply refl_equal. % 11.77/11.95 apply zenon_He3. apply refl_equal. % 11.77/11.95 (* end of lemma zenon_L442_ *) % 11.77/11.95 assert (zenon_L443_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H159 zenon_H1e2 zenon_H239 zenon_H49 zenon_H5e zenon_H212 zenon_H13b zenon_H115. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13f | zenon_intro zenon_H161 ]. % 11.77/11.95 apply (zenon_L409_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H146 | zenon_intro zenon_H162 ]. % 11.77/11.95 apply (zenon_L152_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H114 | zenon_intro zenon_Hdf ]. % 11.77/11.95 apply (zenon_L429_); trivial. % 11.77/11.95 apply (zenon_L442_); trivial. % 11.77/11.95 (* end of lemma zenon_L443_ *) % 11.77/11.95 assert (zenon_L444_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H1d1 zenon_Hb4 zenon_He1 zenon_H212 zenon_H5e zenon_H115 zenon_H49 zenon_H239 zenon_H1e2 zenon_H159 zenon_Hd9 zenon_H155. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d4 ]. % 11.77/11.95 apply (zenon_L122_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13b | zenon_intro zenon_H1d5 ]. % 11.77/11.95 apply (zenon_L443_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ]. % 11.77/11.95 apply (zenon_L439_); trivial. % 11.77/11.95 apply (zenon_L105_); trivial. % 11.77/11.95 (* end of lemma zenon_L444_ *) % 11.77/11.95 assert (zenon_L445_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((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)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.77/11.95 do 0 intro. intros zenon_Hc3 zenon_Hbd zenon_H155 zenon_Hd9 zenon_H159 zenon_H239 zenon_H49 zenon_H115 zenon_H212 zenon_He1 zenon_H1d1 zenon_H166 zenon_H236 zenon_H28 zenon_H168 zenon_H176 zenon_H130 zenon_H157 zenon_Hf5 zenon_H1b1 zenon_H1aa zenon_H1ac zenon_H10d zenon_H1d0 zenon_Hcd zenon_H197 zenon_H15a zenon_H5a zenon_H170 zenon_H5f zenon_H59 zenon_H145 zenon_H222 zenon_Hb1 zenon_H43 zenon_H2a zenon_H1e5 zenon_Hb4 zenon_H5e zenon_H33 zenon_H8d. % 11.77/11.95 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.77/11.95 exact (zenon_Hbd zenon_Hbc). % 11.77/11.95 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.77/11.95 apply (zenon_L35_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.77/11.95 apply (zenon_L92_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.77/11.95 apply (zenon_L441_); trivial. % 11.77/11.95 apply (zenon_L444_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.77/11.95 apply (zenon_L122_); trivial. % 11.77/11.95 apply (zenon_L267_); trivial. % 11.77/11.95 (* end of lemma zenon_L445_ *) % 11.77/11.95 assert (zenon_L446_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (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 (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H95 zenon_H2a zenon_H96 zenon_H7e zenon_H33 zenon_H59 zenon_H78 zenon_Hb4 zenon_Hd9 zenon_H17a zenon_H115 zenon_H15a zenon_H7f zenon_H155 zenon_H25d zenon_H51 zenon_H5f. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.77/11.95 apply (zenon_L128_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.77/11.95 exact (zenon_H96 zenon_H99). % 11.77/11.95 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.77/11.95 apply (zenon_L434_); trivial. % 11.77/11.95 apply (zenon_L260_); trivial. % 11.77/11.95 (* end of lemma zenon_L446_ *) % 11.77/11.95 assert (zenon_L447_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e0)) = (e2))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H25a zenon_H33 zenon_H215 zenon_H1f zenon_H3c zenon_H7f zenon_Hd9 zenon_Hda. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H1e | zenon_intro zenon_H25b ]. % 11.77/11.95 apply (zenon_L291_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6d | zenon_intro zenon_H25c ]. % 11.77/11.95 apply (zenon_L127_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H81 | zenon_intro zenon_Hbc ]. % 11.77/11.95 exact (zenon_H7f zenon_H81). % 11.77/11.95 apply (zenon_L64_); trivial. % 11.77/11.95 (* end of lemma zenon_L447_ *) % 11.77/11.95 assert (zenon_L448_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H1f0 zenon_H1be zenon_H7e zenon_H33 zenon_H59 zenon_H78 zenon_Hb4 zenon_Hd9 zenon_H17a zenon_H115 zenon_H15a zenon_H155. % 11.77/11.95 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H85. zenon_intro zenon_H1f1. % 11.77/11.95 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H79. zenon_intro zenon_H11d. % 11.77/11.95 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 11.77/11.95 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H113. zenon_intro zenon_H120. % 11.77/11.95 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H261. zenon_intro zenon_H25d. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H7f | zenon_intro zenon_H2f ]. % 11.77/11.95 apply (zenon_L434_); trivial. % 11.77/11.95 apply (zenon_L187_); trivial. % 11.77/11.95 (* end of lemma zenon_L448_ *) % 11.77/11.95 assert (zenon_L449_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H15a zenon_Hd9 zenon_Hb4 zenon_H75 zenon_H17a zenon_H10c zenon_He1 zenon_H145. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.77/11.95 apply (zenon_L149_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.77/11.95 apply (zenon_L249_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.77/11.95 apply (zenon_L98_); trivial. % 11.77/11.95 exact (zenon_H145 zenon_H144). % 11.77/11.95 (* end of lemma zenon_L449_ *) % 11.77/11.95 assert (zenon_L450_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H25d zenon_H155 zenon_H7f zenon_H15a zenon_H10c zenon_He1 zenon_H17a zenon_Hd9 zenon_Hb4 zenon_Hd4 zenon_H59 zenon_H33 zenon_H7e. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H145 | zenon_intro zenon_Hdf ]. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/11.95 exact (zenon_H7f zenon_H81). % 11.77/11.95 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/11.95 apply (zenon_L449_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/11.95 apply (zenon_L80_); trivial. % 11.77/11.95 apply (zenon_L416_); trivial. % 11.77/11.95 apply (zenon_L105_); trivial. % 11.77/11.95 (* end of lemma zenon_L450_ *) % 11.77/11.95 assert (zenon_L451_ : (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H1f2 zenon_H1be zenon_H7e zenon_H33 zenon_H59 zenon_Hd4 zenon_Hb4 zenon_Hd9 zenon_H17a zenon_He1 zenon_H15a zenon_H155. % 11.77/11.95 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H10c. zenon_intro zenon_H1f3. % 11.77/11.95 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H10c. zenon_intro zenon_H11d. % 11.77/11.95 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 11.77/11.95 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H113. zenon_intro zenon_H120. % 11.77/11.95 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H261. zenon_intro zenon_H25d. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H7f | zenon_intro zenon_H2f ]. % 11.77/11.95 apply (zenon_L450_); trivial. % 11.77/11.95 apply (zenon_L187_); trivial. % 11.77/11.95 (* end of lemma zenon_L451_ *) % 11.77/11.95 assert (zenon_L452_ : ((op (e3) (e2)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H114 zenon_H87 zenon_H155. % 11.77/11.95 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_He2 | zenon_intro zenon_He3 ]. % 11.77/11.95 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (e0)) = (op (e3) (e2)))). % 11.77/11.95 intro zenon_D_pnotp. % 11.77/11.95 apply zenon_H155. % 11.77/11.95 rewrite <- zenon_D_pnotp. % 11.77/11.95 exact zenon_He2. % 11.77/11.95 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 11.77/11.95 cut (((op (e3) (e2)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H156]. % 11.77/11.95 congruence. % 11.77/11.95 cut (((op (e3) (e2)) = (e2)) = ((op (e3) (e2)) = (op (e3) (e0)))). % 11.77/11.95 intro zenon_D_pnotp. % 11.77/11.95 apply zenon_H156. % 11.77/11.95 rewrite <- zenon_D_pnotp. % 11.77/11.95 exact zenon_H114. % 11.77/11.95 cut (((e2) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H137]. % 11.77/11.95 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 11.77/11.95 congruence. % 11.77/11.95 apply zenon_He3. apply refl_equal. % 11.77/11.95 apply zenon_H137. apply sym_equal. exact zenon_H87. % 11.77/11.95 apply zenon_He3. apply refl_equal. % 11.77/11.95 apply zenon_He3. apply refl_equal. % 11.77/11.95 (* end of lemma zenon_L452_ *) % 11.77/11.95 assert (zenon_L453_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H89 zenon_H7f zenon_H59 zenon_H2a zenon_H1b1 zenon_H117 zenon_H114 zenon_H155. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.77/11.95 exact (zenon_H7f zenon_H81). % 11.77/11.95 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.77/11.95 apply (zenon_L128_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.77/11.95 apply (zenon_L229_); trivial. % 11.77/11.95 apply (zenon_L452_); trivial. % 11.77/11.95 (* end of lemma zenon_L453_ *) % 11.77/11.95 assert (zenon_L454_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> False). % 11.77/11.95 do 0 intro. intros zenon_H25e zenon_H5b zenon_H84 zenon_H17f zenon_H44 zenon_H1aa zenon_H117 zenon_H1e2 zenon_Hd5. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H189 | zenon_intro zenon_H25f ]. % 11.77/11.95 apply (zenon_L317_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_Haf | zenon_intro zenon_H260 ]. % 11.77/11.95 apply (zenon_L215_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 11.77/11.95 apply (zenon_L340_); trivial. % 11.77/11.95 apply (zenon_L247_); trivial. % 11.77/11.95 (* end of lemma zenon_L454_ *) % 11.77/11.95 assert (zenon_L455_ : (((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 (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.77/11.95 do 0 intro. intros zenon_H157 zenon_H6d zenon_Hc7 zenon_H33 zenon_H197 zenon_H115 zenon_H14c zenon_H25e zenon_H5b zenon_H84 zenon_H17f zenon_H44 zenon_H1aa zenon_H8d zenon_Hd9 zenon_H222 zenon_H5f zenon_H117. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.77/11.95 apply (zenon_L262_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.77/11.95 apply (zenon_L215_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.77/11.95 apply (zenon_L120_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.77/11.95 apply (zenon_L454_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.77/11.95 apply (zenon_L397_); trivial. % 11.77/11.95 apply (zenon_L394_); trivial. % 11.77/11.95 apply (zenon_L107_); trivial. % 11.77/11.95 (* end of lemma zenon_L455_ *) % 11.77/11.95 assert (zenon_L456_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.77/11.95 do 0 intro. intros zenon_H207 zenon_H6f zenon_H5f zenon_H222 zenon_H1aa zenon_H17f zenon_H84 zenon_H5b zenon_H25e zenon_H115 zenon_H197 zenon_Hc7 zenon_H6d zenon_H157 zenon_H14c zenon_H28 zenon_H22f zenon_H8d zenon_H33 zenon_Hb1 zenon_Hb4 zenon_H117 zenon_Hab zenon_Hd9. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H29 | zenon_intro zenon_H208 ]. % 11.77/11.95 apply (zenon_L31_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H44 | zenon_intro zenon_H209 ]. % 11.77/11.95 apply (zenon_L455_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H49 | zenon_intro zenon_H51 ]. % 11.77/11.95 apply (zenon_L390_); trivial. % 11.77/11.95 apply (zenon_L424_); trivial. % 11.77/11.95 (* end of lemma zenon_L456_ *) % 11.77/11.95 assert (zenon_L457_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H15a zenon_Hd9 zenon_Hb4 zenon_H75 zenon_H17a zenon_H13f zenon_H59 zenon_H145. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.77/11.95 apply (zenon_L149_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.77/11.95 apply (zenon_L249_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.77/11.95 apply (zenon_L158_); trivial. % 11.77/11.95 exact (zenon_H145 zenon_H144). % 11.77/11.95 (* end of lemma zenon_L457_ *) % 11.77/11.95 assert (zenon_L458_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.77/11.95 do 0 intro. intros zenon_H157 zenon_H28 zenon_H5b zenon_H17f zenon_H44 zenon_H5d zenon_Hd4 zenon_H5f zenon_H117. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.77/11.95 apply (zenon_L60_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.77/11.95 apply (zenon_L215_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.77/11.95 apply (zenon_L61_); trivial. % 11.77/11.95 apply (zenon_L107_); trivial. % 11.77/11.95 (* end of lemma zenon_L458_ *) % 11.77/11.95 assert (zenon_L459_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e2)) -> False). % 11.77/11.95 do 0 intro. intros zenon_H167 zenon_H1be zenon_H33 zenon_H49 zenon_H28 zenon_H5b zenon_H163 zenon_H59 zenon_H114. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.77/11.95 apply (zenon_L187_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.77/11.95 apply (zenon_L390_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.77/11.95 apply (zenon_L109_); trivial. % 11.77/11.95 apply (zenon_L158_); trivial. % 11.77/11.95 (* end of lemma zenon_L459_ *) % 11.77/11.95 assert (zenon_L460_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e3) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.77/11.95 do 0 intro. intros zenon_H1e8 zenon_H215 zenon_H155 zenon_H117 zenon_H1b1 zenon_H7f zenon_H89 zenon_H114 zenon_H59 zenon_H163 zenon_H28 zenon_H49 zenon_H33 zenon_H1be zenon_H167 zenon_H8d zenon_Hd9. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.77/11.95 apply (zenon_L291_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.77/11.95 apply (zenon_L453_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.77/11.95 apply (zenon_L459_); trivial. % 11.77/11.95 apply (zenon_L120_); trivial. % 11.77/11.95 (* end of lemma zenon_L460_ *) % 11.77/11.95 assert (zenon_L461_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e0) (e0)) = (e2))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H25a zenon_H33 zenon_H215 zenon_H68 zenon_H7f zenon_Hd9 zenon_Hda. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H1e | zenon_intro zenon_H25b ]. % 11.77/11.95 apply (zenon_L291_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6d | zenon_intro zenon_H25c ]. % 11.77/11.95 apply (zenon_L324_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H81 | zenon_intro zenon_Hbc ]. % 11.77/11.95 exact (zenon_H7f zenon_H81). % 11.77/11.95 apply (zenon_L64_); trivial. % 11.77/11.95 (* end of lemma zenon_L461_ *) % 11.77/11.95 assert (zenon_L462_ : (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.77/11.95 do 0 intro. intros zenon_H1ba zenon_Hab zenon_Hd9. % 11.77/11.95 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hf9. zenon_intro zenon_H1bb. % 11.77/11.95 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hf9. zenon_intro zenon_H1b0. % 11.77/11.95 apply (zenon_L381_); trivial. % 11.77/11.95 (* end of lemma zenon_L462_ *) % 11.77/11.95 assert (zenon_L463_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.77/11.95 do 0 intro. intros zenon_Hb9 zenon_H59 zenon_H1d zenon_H96 zenon_Haf zenon_H5f zenon_Hb4 zenon_Hb5. % 11.77/11.95 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.77/11.95 apply (zenon_L27_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.77/11.95 exact (zenon_H96 zenon_H99). % 11.77/11.95 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.77/11.95 apply (zenon_L59_); trivial. % 11.77/11.95 apply (zenon_L44_); trivial. % 11.77/11.95 (* end of lemma zenon_L463_ *) % 11.77/11.95 assert (zenon_L464_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H166 zenon_H63 zenon_H34 zenon_H43 zenon_Hb4 zenon_Hb1 zenon_H19e zenon_H170 zenon_H28 zenon_H14c zenon_H10d zenon_H8d zenon_H128 zenon_H78 zenon_H5e zenon_H95 zenon_Hb9 zenon_H1d zenon_H96 zenon_H59 zenon_H67 zenon_H84 zenon_H29 zenon_H7f zenon_H89 zenon_H5f. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.95 apply (zenon_L22_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.95 apply (zenon_L13_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.77/11.95 apply (zenon_L31_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.77/11.95 exact (zenon_H96 zenon_H99). % 11.77/11.95 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.77/11.95 apply (zenon_L28_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.77/11.95 apply (zenon_L35_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.77/11.95 apply (zenon_L281_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.77/11.95 apply (zenon_L136_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.77/11.95 apply (zenon_L349_); trivial. % 11.77/11.95 apply (zenon_L40_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.77/11.95 apply (zenon_L42_); trivial. % 11.77/11.95 apply (zenon_L463_); trivial. % 11.77/11.95 apply (zenon_L46_); trivial. % 11.77/11.95 (* end of lemma zenon_L464_ *) % 11.77/11.95 assert (zenon_L465_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e1) (e3)) = (e0)) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e1)) -> False). % 11.77/11.95 do 0 intro. intros zenon_H1d0 zenon_H8d zenon_H5b zenon_Hb4 zenon_H85 zenon_H92 zenon_Hb1 zenon_He8. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.77/11.95 apply (zenon_L62_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.77/11.95 apply (zenon_L63_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.77/11.95 apply (zenon_L69_); trivial. % 11.77/11.95 apply (zenon_L75_); trivial. % 11.77/11.95 (* end of lemma zenon_L465_ *) % 11.77/11.95 assert (zenon_L466_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (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)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e1) (e3)) = (e0)) -> (~((e1) = (e3))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H166 zenon_H2e zenon_H29 zenon_H43 zenon_H5f zenon_H157 zenon_H28 zenon_H1a4 zenon_H5d zenon_Hd4 zenon_H1d0 zenon_H8d zenon_H5b zenon_Hb4 zenon_H85 zenon_H92 zenon_Hb1. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.95 apply (zenon_L58_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.95 apply (zenon_L13_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.95 apply (zenon_L59_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.77/11.95 apply (zenon_L60_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.77/11.95 apply (zenon_L151_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.77/11.95 apply (zenon_L61_); trivial. % 11.77/11.95 apply (zenon_L465_); trivial. % 11.77/11.95 (* end of lemma zenon_L466_ *) % 11.77/11.95 assert (zenon_L467_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H103 zenon_Hbc zenon_H8d zenon_H155 zenon_H21f zenon_H1e2 zenon_H121 zenon_H29 zenon_H176 zenon_H81 zenon_Hda zenon_Hab. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H104 ]. % 11.77/11.95 apply (zenon_L64_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H105 ]. % 11.77/11.95 apply (zenon_L226_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf9 ]. % 11.77/11.95 apply (zenon_L297_); trivial. % 11.77/11.95 apply (zenon_L395_); trivial. % 11.77/11.95 (* end of lemma zenon_L467_ *) % 11.77/11.95 assert (zenon_L468_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False). % 11.77/11.95 do 0 intro. intros zenon_H155 zenon_H67 zenon_H13f. % 11.77/11.95 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e2)))). % 11.77/11.95 intro zenon_D_pnotp. % 11.77/11.95 apply zenon_H155. % 11.77/11.95 rewrite <- zenon_D_pnotp. % 11.77/11.95 exact zenon_H67. % 11.77/11.95 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H259]. % 11.77/11.95 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 11.77/11.95 congruence. % 11.77/11.95 apply zenon_Hae. apply refl_equal. % 11.77/11.95 apply zenon_H259. apply sym_equal. exact zenon_H13f. % 11.77/11.95 (* end of lemma zenon_L468_ *) % 11.77/11.95 assert (zenon_L469_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((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 (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H103 zenon_Hbc zenon_Hb6 zenon_Hb4 zenon_H8d zenon_H21f zenon_H13f zenon_H155 zenon_H29 zenon_H176 zenon_H81 zenon_Hda zenon_Hab. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H104 ]. % 11.77/11.95 apply (zenon_L64_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H105 ]. % 11.77/11.95 apply (zenon_L44_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf9 ]. % 11.77/11.95 apply (zenon_L294_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H67 | zenon_intro zenon_H220 ]. % 11.77/11.95 apply (zenon_L468_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H68 | zenon_intro zenon_H221 ]. % 11.77/11.95 apply (zenon_L157_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd9 ]. % 11.77/11.95 apply (zenon_L97_); trivial. % 11.77/11.95 apply (zenon_L381_); trivial. % 11.77/11.95 (* end of lemma zenon_L469_ *) % 11.77/11.95 assert (zenon_L470_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H222 zenon_H2a zenon_H121 zenon_H155 zenon_H8d zenon_Hb4 zenon_Hb6 zenon_H103 zenon_Hbc zenon_H12e zenon_H9b zenon_H115 zenon_H13b zenon_H21f zenon_H29 zenon_H176 zenon_H81 zenon_Hda zenon_Hab. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.77/11.95 apply (zenon_L296_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.77/11.95 apply (zenon_L467_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.77/11.95 apply (zenon_L469_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H104 ]. % 11.77/11.95 apply (zenon_L64_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H105 ]. % 11.77/11.95 apply (zenon_L232_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf9 ]. % 11.77/11.95 apply (zenon_L442_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H67 | zenon_intro zenon_H220 ]. % 11.77/11.95 apply (zenon_L41_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H68 | zenon_intro zenon_H221 ]. % 11.77/11.95 apply (zenon_L157_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd9 ]. % 11.77/11.95 apply (zenon_L97_); trivial. % 11.77/11.95 apply (zenon_L381_); trivial. % 11.77/11.95 (* end of lemma zenon_L470_ *) % 11.77/11.95 assert (zenon_L471_ : ((op (e2) (e2)) = (e2)) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H10c zenon_He0 zenon_Hb4. % 11.77/11.95 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 11.77/11.95 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.77/11.95 intro zenon_D_pnotp. % 11.77/11.95 apply zenon_Hb4. % 11.77/11.95 rewrite <- zenon_D_pnotp. % 11.77/11.95 exact zenon_H8e. % 11.77/11.95 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 11.77/11.95 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hc1]. % 11.77/11.95 congruence. % 11.77/11.95 cut (((op (e2) (e2)) = (e2)) = ((e3) = (e2))). % 11.77/11.95 intro zenon_D_pnotp. % 11.77/11.95 apply zenon_Hc1. % 11.77/11.95 rewrite <- zenon_D_pnotp. % 11.77/11.95 exact zenon_H10c. % 11.77/11.95 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.77/11.95 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_He7]. % 11.77/11.95 congruence. % 11.77/11.95 exact (zenon_He7 zenon_He0). % 11.77/11.95 apply zenon_H58. apply refl_equal. % 11.77/11.95 apply zenon_H8f. apply refl_equal. % 11.77/11.95 apply zenon_H8f. apply refl_equal. % 11.77/11.95 (* end of lemma zenon_L471_ *) % 11.77/11.95 assert (zenon_L472_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (((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)))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.77/11.95 do 0 intro. intros zenon_Hb9 zenon_H59 zenon_H1d zenon_H96 zenon_Haf zenon_H19a zenon_H29 zenon_H176 zenon_H5f zenon_Hdf zenon_Hb1 zenon_H197 zenon_H63. % 11.77/11.95 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.77/11.95 apply (zenon_L27_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.77/11.95 exact (zenon_H96 zenon_H99). % 11.77/11.95 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.77/11.95 apply (zenon_L59_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H68 | zenon_intro zenon_H19b ]. % 11.77/11.95 apply (zenon_L157_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H19c ]. % 11.77/11.95 apply (zenon_L45_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H146 | zenon_intro zenon_H198 ]. % 11.77/11.95 apply (zenon_L194_); trivial. % 11.77/11.95 apply (zenon_L143_); trivial. % 11.77/11.95 (* end of lemma zenon_L472_ *) % 11.77/11.95 assert (zenon_L473_ : (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H1f2 zenon_H85 zenon_H257. % 11.77/11.95 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H10c. zenon_intro zenon_H1f3. % 11.77/11.95 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H10c. zenon_intro zenon_H11d. % 11.77/11.95 apply (zenon_L392_); trivial. % 11.77/11.95 (* end of lemma zenon_L473_ *) % 11.77/11.95 assert (zenon_L474_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.77/11.95 do 0 intro. intros zenon_Hb9 zenon_H59 zenon_H1d zenon_H96 zenon_H257 zenon_H1f2 zenon_Hb8 zenon_H5f. % 11.77/11.95 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.77/11.95 apply (zenon_L27_); trivial. % 11.77/11.95 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.77/11.95 exact (zenon_H96 zenon_H99). % 11.77/11.95 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.77/11.95 apply (zenon_L473_); trivial. % 11.77/11.95 apply (zenon_L45_); trivial. % 11.77/11.95 (* end of lemma zenon_L474_ *) % 11.77/11.95 assert (zenon_L475_ : (((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 (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> (~((e1) = (e2))) -> False). % 11.77/11.95 do 0 intro. intros zenon_H166 zenon_H28 zenon_H43 zenon_H63 zenon_H197 zenon_Hb1 zenon_Hdf zenon_H176 zenon_H29 zenon_H19a zenon_Hb9 zenon_H59 zenon_H1d zenon_H96 zenon_H257 zenon_H1f2 zenon_H5f. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.96 apply (zenon_L11_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.96 apply (zenon_L13_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.96 apply (zenon_L472_); trivial. % 11.77/11.96 apply (zenon_L474_); trivial. % 11.77/11.96 (* end of lemma zenon_L475_ *) % 11.77/11.96 assert (zenon_L476_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e2)) = (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 (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> (~((e1) = (e2))) -> False). % 11.77/11.96 do 0 intro. intros zenon_Hca zenon_H108 zenon_H2f zenon_H166 zenon_H28 zenon_H43 zenon_H197 zenon_Hb1 zenon_Hdf zenon_H176 zenon_H29 zenon_H19a zenon_Hb9 zenon_H59 zenon_H1d zenon_H96 zenon_H257 zenon_H1f2 zenon_H5f. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.77/11.96 apply (zenon_L77_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.77/11.96 apply (zenon_L11_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.77/11.96 apply (zenon_L53_); trivial. % 11.77/11.96 apply (zenon_L475_); trivial. % 11.77/11.96 (* end of lemma zenon_L476_ *) % 11.77/11.96 assert (zenon_L477_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e2)) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e2)) = (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 (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> (~((e1) = (e2))) -> False). % 11.77/11.96 do 0 intro. intros zenon_H1d1 zenon_H78 zenon_H10d zenon_H4a zenon_H183 zenon_Hab zenon_Hda zenon_H81 zenon_H21f zenon_H115 zenon_H9b zenon_H12e zenon_Hbc zenon_H103 zenon_Hb6 zenon_H8d zenon_H155 zenon_H121 zenon_H2a zenon_H222 zenon_Hb4 zenon_H10c zenon_Hca zenon_H108 zenon_H2f zenon_H166 zenon_H28 zenon_H43 zenon_H197 zenon_Hb1 zenon_H176 zenon_H29 zenon_H19a zenon_Hb9 zenon_H59 zenon_H1d zenon_H96 zenon_H257 zenon_H1f2 zenon_H5f. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d4 ]. % 11.77/11.96 apply (zenon_L133_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13b | zenon_intro zenon_H1d5 ]. % 11.77/11.96 apply (zenon_L470_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ]. % 11.77/11.96 apply (zenon_L471_); trivial. % 11.77/11.96 apply (zenon_L476_); trivial. % 11.77/11.96 (* end of lemma zenon_L477_ *) % 11.77/11.96 assert (zenon_L478_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.77/11.96 do 0 intro. intros zenon_H1d0 zenon_H8d zenon_H5b zenon_Hb1 zenon_Haf zenon_Hb4 zenon_H10c zenon_Hfa zenon_Hf5. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.77/11.96 apply (zenon_L62_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.77/11.96 apply (zenon_L42_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.77/11.96 apply (zenon_L471_); trivial. % 11.77/11.96 apply (zenon_L168_); trivial. % 11.77/11.96 (* end of lemma zenon_L478_ *) % 11.77/11.96 assert (zenon_L479_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> False). % 11.77/11.96 do 0 intro. intros zenon_H78 zenon_H2f zenon_H14c. % 11.77/11.96 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e1) (e2)))). % 11.77/11.96 intro zenon_D_pnotp. % 11.77/11.96 apply zenon_H78. % 11.77/11.96 rewrite <- zenon_D_pnotp. % 11.77/11.96 exact zenon_H2f. % 11.77/11.96 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H181]. % 11.77/11.96 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 11.77/11.96 congruence. % 11.77/11.96 apply zenon_H7b. apply refl_equal. % 11.77/11.96 apply zenon_H181. apply sym_equal. exact zenon_H14c. % 11.77/11.96 (* end of lemma zenon_L479_ *) % 11.77/11.96 assert (zenon_L480_ : (((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 (e2) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e3)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> False). % 11.77/11.96 do 0 intro. intros zenon_H19e zenon_H170 zenon_H67 zenon_Haf zenon_H28 zenon_H2f zenon_Hd4 zenon_H93 zenon_H9b. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.77/11.96 apply (zenon_L281_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.77/11.96 apply (zenon_L136_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.77/11.96 apply (zenon_L195_); trivial. % 11.77/11.96 apply (zenon_L40_); trivial. % 11.77/11.96 (* end of lemma zenon_L480_ *) % 11.77/11.96 assert (zenon_L481_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> ((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))))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e2)) -> False). % 11.77/11.96 do 0 intro. intros zenon_H128 zenon_H8d zenon_H1d zenon_H93 zenon_Hd4 zenon_H2f zenon_H28 zenon_H67 zenon_H170 zenon_H19e zenon_Hb1 zenon_Haf zenon_Hb4 zenon_Hb6. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.77/11.96 apply (zenon_L35_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.77/11.96 apply (zenon_L480_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.77/11.96 apply (zenon_L42_); trivial. % 11.77/11.96 apply (zenon_L44_); trivial. % 11.77/11.96 (* end of lemma zenon_L481_ *) % 11.77/11.96 assert (zenon_L482_ : (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False). % 11.77/11.96 do 0 intro. intros zenon_Hfb zenon_H92 zenon_Hac. % 11.77/11.96 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (e3)) = (op (e3) (e3)))). % 11.77/11.96 intro zenon_D_pnotp. % 11.77/11.96 apply zenon_Hfb. % 11.77/11.96 rewrite <- zenon_D_pnotp. % 11.77/11.96 exact zenon_H92. % 11.77/11.96 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Had]. % 11.77/11.96 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 11.77/11.96 congruence. % 11.77/11.96 apply zenon_H54. apply refl_equal. % 11.77/11.96 apply zenon_Had. apply sym_equal. exact zenon_Hac. % 11.77/11.96 (* end of lemma zenon_L482_ *) % 11.77/11.96 assert (zenon_L483_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/11.96 do 0 intro. intros zenon_H15a zenon_H59 zenon_H67 zenon_H75 zenon_H17a zenon_H10c zenon_He1 zenon_H145. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.77/11.96 apply (zenon_L33_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.77/11.96 apply (zenon_L249_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.77/11.96 apply (zenon_L98_); trivial. % 11.77/11.96 exact (zenon_H145 zenon_H144). % 11.77/11.96 (* end of lemma zenon_L483_ *) % 11.77/11.96 assert (zenon_L484_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.77/11.96 do 0 intro. intros zenon_H7e zenon_H6d zenon_H1d zenon_Hd9 zenon_H59 zenon_H5b zenon_H29 zenon_H5f zenon_H1bd zenon_H89 zenon_Hc0 zenon_Hb4. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/11.96 apply (zenon_L47_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/11.96 apply (zenon_L27_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/11.96 apply (zenon_L415_); trivial. % 11.77/11.96 apply (zenon_L51_); trivial. % 11.77/11.96 (* end of lemma zenon_L484_ *) % 11.77/11.96 assert (zenon_L485_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (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) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((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))))) -> (~((e1) = (e2))) -> False). % 11.77/11.96 do 0 intro. intros zenon_H166 zenon_H43 zenon_Hb9 zenon_H59 zenon_Hc0 zenon_Hf7 zenon_H15a zenon_H81 zenon_Hda zenon_H159 zenon_H14c zenon_He1 zenon_H126 zenon_H155 zenon_Hc7 zenon_H158 zenon_Hd4 zenon_H5d zenon_H28 zenon_H157 zenon_H19f zenon_Hbd zenon_H29 zenon_H5b zenon_H121 zenon_H168 zenon_Hb1 zenon_Hb4 zenon_H9c zenon_H1d zenon_H8d zenon_H128 zenon_H5f. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.96 apply (zenon_L11_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.96 apply (zenon_L13_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.96 apply (zenon_L89_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.77/11.96 apply (zenon_L27_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.77/11.96 apply (zenon_L126_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.77/11.96 exact (zenon_H9c zenon_H9b). % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.77/11.96 apply (zenon_L35_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.77/11.96 exact (zenon_H9c zenon_H9b). % 11.77/11.96 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.77/11.96 apply (zenon_L108_); trivial. % 11.77/11.96 apply (zenon_L150_); trivial. % 11.77/11.96 apply (zenon_L111_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.77/11.96 apply (zenon_L91_); trivial. % 11.77/11.96 apply (zenon_L45_); trivial. % 11.77/11.96 (* end of lemma zenon_L485_ *) % 11.77/11.96 assert (zenon_L486_ : (((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) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.77/11.96 do 0 intro. intros zenon_H168 zenon_H176 zenon_Hd9 zenon_H9c zenon_H99 zenon_H163 zenon_H5b zenon_H92 zenon_H1dc zenon_H5d zenon_H28 zenon_H167 zenon_Hf7 zenon_Hc0. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.77/11.96 apply (zenon_L119_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.77/11.96 exact (zenon_H9c zenon_H9b). % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.77/11.96 apply (zenon_L53_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.77/11.96 apply (zenon_L292_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.77/11.96 apply (zenon_L109_); trivial. % 11.77/11.96 apply (zenon_L101_); trivial. % 11.77/11.96 apply (zenon_L111_); trivial. % 11.77/11.96 (* end of lemma zenon_L486_ *) % 11.77/11.96 assert (zenon_L487_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (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))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((e2) = (e3))) -> False). % 11.77/11.96 do 0 intro. intros zenon_Hb9 zenon_H59 zenon_Hc0 zenon_Hf7 zenon_H167 zenon_H28 zenon_H5d zenon_H1dc zenon_H92 zenon_H5b zenon_H163 zenon_Hd9 zenon_H176 zenon_H168 zenon_H5f zenon_H128 zenon_H8d zenon_H1d zenon_H9c zenon_Hb1 zenon_Haf zenon_Hb4. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.77/11.96 apply (zenon_L27_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.77/11.96 apply (zenon_L486_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.77/11.96 apply (zenon_L59_); trivial. % 11.77/11.96 apply (zenon_L171_); trivial. % 11.77/11.96 (* end of lemma zenon_L487_ *) % 11.77/11.96 assert (zenon_L488_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((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) (e1)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.77/11.96 do 0 intro. intros zenon_Hb9 zenon_H59 zenon_Hc0 zenon_Hf7 zenon_H167 zenon_H28 zenon_H5d zenon_H1dc zenon_H92 zenon_H5b zenon_H163 zenon_Hd9 zenon_H176 zenon_H168 zenon_Hb1 zenon_Hb4 zenon_H9c zenon_H1d zenon_H8d zenon_H128 zenon_Hb8 zenon_H5f. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.77/11.96 apply (zenon_L27_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.77/11.96 apply (zenon_L486_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.77/11.96 apply (zenon_L91_); trivial. % 11.77/11.96 apply (zenon_L45_); trivial. % 11.77/11.96 (* end of lemma zenon_L488_ *) % 11.77/11.96 assert (zenon_L489_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((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))))) -> (~((e1) = (e2))) -> False). % 11.77/11.96 do 0 intro. intros zenon_H166 zenon_H2e zenon_H29 zenon_H43 zenon_Hb9 zenon_H59 zenon_Hc0 zenon_Hf7 zenon_H167 zenon_H28 zenon_H5d zenon_H1dc zenon_H92 zenon_H5b zenon_H163 zenon_Hd9 zenon_H176 zenon_H168 zenon_Hb1 zenon_Hb4 zenon_H9c zenon_H1d zenon_H8d zenon_H128 zenon_H5f. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.96 apply (zenon_L58_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.96 apply (zenon_L13_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.96 apply (zenon_L487_); trivial. % 11.77/11.96 apply (zenon_L488_); trivial. % 11.77/11.96 (* end of lemma zenon_L489_ *) % 11.77/11.96 assert (zenon_L490_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> (((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) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.77/11.96 do 0 intro. intros zenon_H166 zenon_H1d zenon_H43 zenon_H59 zenon_H19a zenon_H29 zenon_H176 zenon_Hbe zenon_H78 zenon_H10d zenon_H115 zenon_H183 zenon_He1 zenon_Hb4 zenon_H67 zenon_H15a zenon_H197 zenon_H63 zenon_H5f zenon_H19f zenon_Hbd zenon_H8d zenon_H158 zenon_H14c zenon_H28 zenon_H121 zenon_H19e zenon_Hb1 zenon_Hb5. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.96 apply (zenon_L11_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.96 apply (zenon_L13_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.77/11.96 apply (zenon_L150_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.77/11.96 apply (zenon_L136_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.77/11.96 apply (zenon_L349_); trivial. % 11.77/11.96 apply (zenon_L165_); trivial. % 11.77/11.96 apply (zenon_L65_); trivial. % 11.77/11.96 (* end of lemma zenon_L490_ *) % 11.77/11.96 assert (zenon_L491_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False). % 11.77/11.96 do 0 intro. intros zenon_H132 zenon_H237 zenon_H17f zenon_Haf zenon_H75 zenon_H130 zenon_Hb5 zenon_H12e. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H12c | zenon_intro zenon_H133 ]. % 11.77/11.96 exact (zenon_H237 zenon_H12c). % 11.77/11.96 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H44 | zenon_intro zenon_H134 ]. % 11.77/11.96 apply (zenon_L215_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H99 | zenon_intro zenon_H9b ]. % 11.77/11.96 apply (zenon_L94_); trivial. % 11.77/11.96 apply (zenon_L232_); trivial. % 11.77/11.96 (* end of lemma zenon_L491_ *) % 11.77/11.96 assert (zenon_L492_ : (((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)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.77/11.96 do 0 intro. intros zenon_H167 zenon_H1be zenon_H1b6 zenon_H1dc zenon_H92 zenon_H186 zenon_Hc3 zenon_Hbd zenon_H8d zenon_H1d zenon_Hb4 zenon_Hb1 zenon_H59 zenon_H19f zenon_Hb5 zenon_H19e zenon_H28 zenon_H197 zenon_H15a zenon_Hda zenon_H5f zenon_H196 zenon_H19a zenon_H43 zenon_H29 zenon_H34 zenon_H166 zenon_H17d zenon_H121 zenon_H7e zenon_H17a zenon_Hf7 zenon_Hfa zenon_Hca zenon_Hd7 zenon_Hbe zenon_H78 zenon_H10d zenon_H115 zenon_H183 zenon_He1 zenon_H63 zenon_H99 zenon_H17f zenon_H81 zenon_Hc7 zenon_H158 zenon_H155 zenon_H67. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.77/11.96 apply (zenon_L270_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.77/11.96 apply (zenon_L292_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.77/11.96 apply (zenon_L163_); trivial. % 11.77/11.96 apply (zenon_L468_); trivial. % 11.77/11.96 (* end of lemma zenon_L492_ *) % 11.77/11.96 assert (zenon_L493_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.77/11.96 do 0 intro. intros zenon_H1e zenon_H6d zenon_H28. % 11.77/11.96 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H3d | zenon_intro zenon_H27 ]. % 11.77/11.96 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.77/11.96 intro zenon_D_pnotp. % 11.77/11.96 apply zenon_H28. % 11.77/11.96 rewrite <- zenon_D_pnotp. % 11.77/11.96 exact zenon_H3d. % 11.77/11.96 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.77/11.96 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 11.77/11.96 congruence. % 11.77/11.96 cut (((op (e0) (e0)) = (e0)) = ((e1) = (e0))). % 11.77/11.96 intro zenon_D_pnotp. % 11.77/11.96 apply zenon_H3e. % 11.77/11.96 rewrite <- zenon_D_pnotp. % 11.77/11.96 exact zenon_H1e. % 11.77/11.96 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 11.77/11.96 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 11.77/11.96 congruence. % 11.77/11.96 exact (zenon_H6b zenon_H6d). % 11.77/11.96 apply zenon_H3b. apply refl_equal. % 11.77/11.96 apply zenon_H27. apply refl_equal. % 11.77/11.96 apply zenon_H27. apply refl_equal. % 11.77/11.96 (* end of lemma zenon_L493_ *) % 11.77/11.96 assert (zenon_L494_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.77/11.96 do 0 intro. intros zenon_H1ca zenon_Hb4 zenon_Hbe zenon_H5f zenon_H49 zenon_H257 zenon_H85 zenon_H87 zenon_H155. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.77/11.96 apply (zenon_L122_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.77/11.96 apply (zenon_L224_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.77/11.96 apply (zenon_L392_); trivial. % 11.77/11.96 apply (zenon_L452_); trivial. % 11.77/11.96 (* end of lemma zenon_L494_ *) % 11.77/11.96 assert (zenon_L495_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e1) (e3)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> False). % 11.77/11.96 do 0 intro. intros zenon_H19e zenon_H8d zenon_Hd7 zenon_H85 zenon_H59 zenon_H18c zenon_H93 zenon_H9b. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.77/11.96 apply (zenon_L62_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.77/11.96 apply (zenon_L426_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.77/11.96 exact (zenon_H18c zenon_H164). % 11.77/11.96 apply (zenon_L40_); trivial. % 11.77/11.96 (* end of lemma zenon_L495_ *) % 11.77/11.96 assert (zenon_L496_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.77/11.96 do 0 intro. intros zenon_H168 zenon_H2a zenon_H93 zenon_H18c zenon_H59 zenon_H85 zenon_Hd7 zenon_H8d zenon_H19e zenon_Hb1 zenon_H49 zenon_Hf7 zenon_Hc0. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.77/11.96 apply (zenon_L96_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.77/11.96 apply (zenon_L495_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.77/11.96 apply (zenon_L191_); trivial. % 11.77/11.96 apply (zenon_L111_); trivial. % 11.77/11.96 (* end of lemma zenon_L496_ *) % 11.77/11.96 assert (zenon_L497_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e1) (e3)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> False). % 11.77/11.96 do 0 intro. intros zenon_H19e zenon_H28 zenon_H65 zenon_H85 zenon_H59 zenon_H18c zenon_H93 zenon_H9b. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.77/11.96 apply (zenon_L60_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.77/11.96 apply (zenon_L426_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.77/11.96 exact (zenon_H18c zenon_H164). % 11.77/11.96 apply (zenon_L40_); trivial. % 11.77/11.96 (* end of lemma zenon_L497_ *) % 11.77/11.96 assert (zenon_L498_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.77/11.96 do 0 intro. intros zenon_H166 zenon_H63 zenon_H34 zenon_H49 zenon_H236 zenon_H85 zenon_H5f zenon_H68 zenon_H121. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.96 apply (zenon_L22_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.96 apply (zenon_L326_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.96 apply (zenon_L59_); trivial. % 11.77/11.96 apply (zenon_L367_); trivial. % 11.77/11.96 (* end of lemma zenon_L498_ *) % 11.77/11.96 assert (zenon_L499_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False). % 11.77/11.96 do 0 intro. intros zenon_H21d zenon_H7e zenon_H2a zenon_H84 zenon_H85 zenon_Hc3 zenon_H95 zenon_H19e zenon_Hf7 zenon_H168 zenon_H78 zenon_H17f zenon_H89 zenon_H19f zenon_Hb4 zenon_H49 zenon_H257 zenon_H155 zenon_H1ca zenon_H8d zenon_Hb1 zenon_H1d zenon_H59 zenon_H5f zenon_H28 zenon_H6a zenon_H34 zenon_H121 zenon_H236 zenon_H128 zenon_H166 zenon_H4a zenon_Hcd zenon_H1bd zenon_Hca. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H18c | zenon_intro zenon_H5a ]. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/11.96 apply (zenon_L47_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/11.96 apply (zenon_L27_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.77/11.96 apply (zenon_L47_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.77/11.96 apply (zenon_L128_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.77/11.96 apply (zenon_L32_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.77/11.96 apply (zenon_L49_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.77/11.96 apply (zenon_L35_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.77/11.96 apply (zenon_L494_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hbc | zenon_intro zenon_H1a0 ]. % 11.77/11.96 apply (zenon_L49_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H135 | zenon_intro zenon_H1a1 ]. % 11.77/11.96 apply (zenon_L96_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd9 ]. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.77/11.96 apply (zenon_L128_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.77/11.96 apply (zenon_L130_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.77/11.96 apply (zenon_L28_); trivial. % 11.77/11.96 apply (zenon_L496_); trivial. % 11.77/11.96 apply (zenon_L436_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.77/11.96 apply (zenon_L47_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.77/11.96 apply (zenon_L128_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.77/11.96 apply (zenon_L32_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.77/11.96 apply (zenon_L49_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.77/11.96 apply (zenon_L35_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.77/11.96 apply (zenon_L494_); trivial. % 11.77/11.96 apply (zenon_L51_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.77/11.96 apply (zenon_L11_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.77/11.96 apply (zenon_L221_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/11.96 apply (zenon_L47_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/11.96 apply (zenon_L57_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.77/11.96 apply (zenon_L310_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.77/11.96 apply (zenon_L128_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.77/11.96 apply (zenon_L32_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.77/11.96 apply (zenon_L49_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.77/11.96 apply (zenon_L35_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.77/11.96 apply (zenon_L494_); trivial. % 11.77/11.96 apply (zenon_L115_); trivial. % 11.77/11.96 apply (zenon_L29_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.77/11.96 apply (zenon_L15_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.96 apply (zenon_L11_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.96 apply (zenon_L326_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.96 apply (zenon_L59_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.77/11.96 apply (zenon_L128_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.77/11.96 apply (zenon_L130_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.77/11.96 apply (zenon_L224_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.77/11.96 apply (zenon_L35_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.77/11.96 apply (zenon_L497_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.77/11.96 apply (zenon_L63_); trivial. % 11.77/11.96 apply (zenon_L65_); trivial. % 11.77/11.96 apply (zenon_L498_); trivial. % 11.77/11.96 apply (zenon_L32_); trivial. % 11.77/11.96 (* end of lemma zenon_L499_ *) % 11.77/11.96 assert (zenon_L500_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.77/11.96 do 0 intro. intros zenon_H1e5 zenon_H1f zenon_H237 zenon_H85 zenon_H59 zenon_H167 zenon_H1e zenon_H1bd zenon_H1dc zenon_H92 zenon_H18c zenon_H239. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.77/11.96 apply (zenon_L1_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.77/11.96 exact (zenon_H237 zenon_H12c). % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.77/11.96 apply (zenon_L426_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.77/11.96 apply (zenon_L183_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.77/11.96 apply (zenon_L292_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.77/11.96 exact (zenon_H18c zenon_H164). % 11.77/11.96 apply (zenon_L409_); trivial. % 11.77/11.96 (* end of lemma zenon_L500_ *) % 11.77/11.96 assert (zenon_L501_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e2)) = (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 (e1) (e1)) = (e0))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.77/11.96 do 0 intro. intros zenon_H262 zenon_H6f zenon_H49 zenon_H28 zenon_H1e5 zenon_H1f zenon_H237 zenon_H85 zenon_H59 zenon_H167 zenon_H1e zenon_H1bd zenon_H1dc zenon_H18c zenon_H239. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.77/11.96 apply (zenon_L128_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.77/11.96 exact (zenon_H237 zenon_H12c). % 11.77/11.96 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.77/11.96 apply (zenon_L390_); trivial. % 11.77/11.96 apply (zenon_L500_); trivial. % 11.77/11.96 (* end of lemma zenon_L501_ *) % 11.77/11.96 assert (zenon_L502_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> False). % 11.77/11.96 do 0 intro. intros zenon_H166 zenon_Hb1 zenon_H8c zenon_H49 zenon_H236 zenon_H85 zenon_H5f zenon_H28 zenon_H1e2. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.96 apply (zenon_L210_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.96 apply (zenon_L326_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.96 apply (zenon_L59_); trivial. % 11.77/11.96 apply (zenon_L264_); trivial. % 11.77/11.96 (* end of lemma zenon_L502_ *) % 11.77/11.96 assert (zenon_L503_ : (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e1) (e2)) = (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 (e1) (e1)) = (e0))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.77/11.96 do 0 intro. intros zenon_H8d zenon_Hb4 zenon_H19e zenon_H65 zenon_H166 zenon_Hb1 zenon_H236 zenon_H5f zenon_H128 zenon_H17f zenon_H262 zenon_H95 zenon_H21d zenon_H7e zenon_H84 zenon_Hc3 zenon_Hf7 zenon_H168 zenon_H78 zenon_H89 zenon_H19f zenon_H257 zenon_H155 zenon_H1ca zenon_H6a zenon_H34 zenon_H121 zenon_H4a zenon_Hcd zenon_Hca zenon_H49 zenon_H28 zenon_H1e5 zenon_H1f zenon_H237 zenon_H85 zenon_H59 zenon_H167 zenon_H1e zenon_H1bd zenon_H1dc zenon_H18c zenon_H239. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.77/11.96 apply (zenon_L499_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.77/11.96 exact (zenon_H237 zenon_H12c). % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.77/11.96 apply (zenon_L426_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.77/11.96 apply (zenon_L501_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.77/11.96 apply (zenon_L130_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.77/11.96 apply (zenon_L224_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.77/11.96 apply (zenon_L502_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.77/11.96 apply (zenon_L497_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.77/11.96 apply (zenon_L63_); trivial. % 11.77/11.96 apply (zenon_L226_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.77/11.96 exact (zenon_H237 zenon_H12c). % 11.77/11.96 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.77/11.96 apply (zenon_L390_); trivial. % 11.77/11.96 apply (zenon_L500_); trivial. % 11.77/11.96 (* end of lemma zenon_L503_ *) % 11.77/11.96 assert (zenon_L504_ : ((op (e3) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.77/11.96 do 0 intro. intros zenon_H68 zenon_H87 zenon_H5f. % 11.77/11.96 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H60 | zenon_intro zenon_H58 ]. % 11.77/11.96 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.77/11.96 intro zenon_D_pnotp. % 11.77/11.96 apply zenon_H5f. % 11.77/11.96 rewrite <- zenon_D_pnotp. % 11.77/11.96 exact zenon_H60. % 11.77/11.96 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 11.77/11.96 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 11.77/11.96 congruence. % 11.77/11.96 cut (((op (e3) (e0)) = (e1)) = ((e2) = (e1))). % 11.77/11.96 intro zenon_D_pnotp. % 11.77/11.96 apply zenon_H61. % 11.77/11.96 rewrite <- zenon_D_pnotp. % 11.77/11.96 exact zenon_H68. % 11.77/11.96 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 11.77/11.96 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 11.77/11.96 congruence. % 11.77/11.96 exact (zenon_H88 zenon_H87). % 11.77/11.96 apply zenon_H27. apply refl_equal. % 11.77/11.96 apply zenon_H58. apply refl_equal. % 11.77/11.96 apply zenon_H58. apply refl_equal. % 11.77/11.96 (* end of lemma zenon_L504_ *) % 11.77/11.96 assert (zenon_L505_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.77/11.96 do 0 intro. intros zenon_H89 zenon_H1bd zenon_H5e zenon_H59 zenon_H2a zenon_H85 zenon_H84 zenon_H68 zenon_H5f. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.77/11.96 apply (zenon_L310_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.77/11.96 apply (zenon_L128_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.77/11.96 apply (zenon_L32_); trivial. % 11.77/11.96 apply (zenon_L504_); trivial. % 11.77/11.96 (* end of lemma zenon_L505_ *) % 11.77/11.96 assert (zenon_L506_ : (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False). % 11.77/11.96 do 0 intro. intros zenon_H1b1 zenon_H5b zenon_Ha2. % 11.77/11.96 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e3)))). % 11.77/11.96 intro zenon_D_pnotp. % 11.77/11.96 apply zenon_H1b1. % 11.77/11.96 rewrite <- zenon_D_pnotp. % 11.77/11.96 exact zenon_H5b. % 11.77/11.96 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1ab]. % 11.77/11.96 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 11.77/11.96 congruence. % 11.77/11.96 apply zenon_H72. apply refl_equal. % 11.77/11.96 apply zenon_H1ab. apply sym_equal. exact zenon_Ha2. % 11.77/11.96 (* end of lemma zenon_L506_ *) % 11.77/11.96 assert (zenon_L507_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e2) (e2)) = (e3)) -> ((op (e2) (e3)) = (e1)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.77/11.96 do 0 intro. intros zenon_H204 zenon_H114 zenon_H59 zenon_H163 zenon_H28 zenon_H49 zenon_H1be zenon_H167 zenon_He0 zenon_He8 zenon_H5b zenon_H1b1 zenon_H217. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H33 | zenon_intro zenon_H205 ]. % 11.77/11.96 apply (zenon_L459_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H92 | zenon_intro zenon_H206 ]. % 11.77/11.96 apply (zenon_L69_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hac ]. % 11.77/11.96 apply (zenon_L506_); trivial. % 11.77/11.96 exact (zenon_H217 zenon_Hac). % 11.77/11.96 (* end of lemma zenon_L507_ *) % 11.77/11.96 assert (zenon_L508_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e1)) -> False). % 11.77/11.96 do 0 intro. intros zenon_H1ca zenon_H68 zenon_H84 zenon_H2a zenon_H1bd zenon_H89 zenon_H5f zenon_H257 zenon_H1d0 zenon_H9b zenon_H93 zenon_H18c zenon_H8d zenon_H19e zenon_Hb4 zenon_H85 zenon_H217 zenon_H1b1 zenon_H5b zenon_H167 zenon_H1be zenon_H49 zenon_H28 zenon_H163 zenon_H59 zenon_H204 zenon_Hb1 zenon_He8. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.77/11.96 apply (zenon_L505_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.77/11.96 apply (zenon_L224_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.77/11.96 apply (zenon_L392_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.77/11.96 apply (zenon_L495_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.77/11.96 apply (zenon_L63_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.77/11.96 apply (zenon_L507_); trivial. % 11.77/11.96 apply (zenon_L75_); trivial. % 11.77/11.96 (* end of lemma zenon_L508_ *) % 11.77/11.96 assert (zenon_L509_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e3)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> False). % 11.77/11.96 do 0 intro. intros zenon_H157 zenon_H170 zenon_H10d zenon_H1ca zenon_H68 zenon_H84 zenon_H2a zenon_H1bd zenon_H89 zenon_H5f zenon_H257 zenon_H1d0 zenon_H9b zenon_H93 zenon_H18c zenon_H8d zenon_H19e zenon_Hb4 zenon_H85 zenon_H217 zenon_H1b1 zenon_H5b zenon_H167 zenon_H1be zenon_H49 zenon_H28 zenon_H163 zenon_H59 zenon_H204 zenon_Hb1. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.77/11.96 apply (zenon_L222_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.77/11.96 apply (zenon_L59_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.77/11.96 apply (zenon_L438_); trivial. % 11.77/11.96 apply (zenon_L508_); trivial. % 11.77/11.96 (* end of lemma zenon_L509_ *) % 11.77/11.96 assert (zenon_L510_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> False). % 11.77/11.96 do 0 intro. intros zenon_H166 zenon_H63 zenon_H34 zenon_H49 zenon_H236 zenon_H85 zenon_H5f zenon_H28 zenon_H1e2. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.96 apply (zenon_L22_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.96 apply (zenon_L326_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.96 apply (zenon_L59_); trivial. % 11.77/11.96 apply (zenon_L264_); trivial. % 11.77/11.96 (* end of lemma zenon_L510_ *) % 11.77/11.96 assert (zenon_L511_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (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 (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e1) (e2)) = (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 (e1) (e1)) = (e0))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.77/11.96 do 0 intro. intros zenon_H262 zenon_H5f zenon_H236 zenon_H34 zenon_H63 zenon_H166 zenon_H21d zenon_H7e zenon_H84 zenon_Hc3 zenon_H95 zenon_H19e zenon_Hf7 zenon_H168 zenon_H78 zenon_H17f zenon_H89 zenon_H19f zenon_Hb4 zenon_H257 zenon_H155 zenon_H1ca zenon_H8d zenon_Hb1 zenon_H6a zenon_H121 zenon_H128 zenon_H4a zenon_Hcd zenon_Hca zenon_H49 zenon_H28 zenon_H1e5 zenon_H1f zenon_H237 zenon_H85 zenon_H59 zenon_H167 zenon_H1e zenon_H1bd zenon_H1dc zenon_H18c zenon_H239. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.77/11.96 apply (zenon_L499_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.77/11.96 exact (zenon_H237 zenon_H12c). % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.77/11.96 apply (zenon_L426_); trivial. % 11.77/11.96 apply (zenon_L510_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.77/11.96 exact (zenon_H237 zenon_H12c). % 11.77/11.96 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.77/11.96 apply (zenon_L390_); trivial. % 11.77/11.96 apply (zenon_L500_); trivial. % 11.77/11.96 (* end of lemma zenon_L511_ *) % 11.77/11.96 assert (zenon_L512_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e0)) -> False). % 11.77/11.96 do 0 intro. intros zenon_H1ca zenon_Hb4 zenon_Hbe zenon_H5f zenon_H49 zenon_H257 zenon_H85 zenon_H59 zenon_H13f. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.77/11.96 apply (zenon_L122_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.77/11.96 apply (zenon_L224_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.77/11.96 apply (zenon_L392_); trivial. % 11.77/11.96 apply (zenon_L158_); trivial. % 11.77/11.96 (* end of lemma zenon_L512_ *) % 11.77/11.96 assert (zenon_L513_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.77/11.96 do 0 intro. intros zenon_H167 zenon_H8d zenon_H2a zenon_H4a zenon_H18c zenon_H1ca zenon_Hb4 zenon_Hbe zenon_H5f zenon_H49 zenon_H257 zenon_H85 zenon_H59. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.77/11.96 apply (zenon_L50_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.77/11.96 apply (zenon_L131_); trivial. % 11.77/11.96 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.77/11.96 exact (zenon_H18c zenon_H164). % 11.77/11.96 apply (zenon_L512_); trivial. % 11.77/11.96 (* end of lemma zenon_L513_ *) % 11.77/11.96 assert (zenon_L514_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (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 (e1) (e1)) = (e0))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.77/11.97 do 0 intro. intros zenon_H262 zenon_H257 zenon_H5f zenon_Hbe zenon_Hb4 zenon_H1ca zenon_H4a zenon_H8d zenon_H49 zenon_H28 zenon_H1e5 zenon_H1f zenon_H237 zenon_H85 zenon_H59 zenon_H167 zenon_H1e zenon_H1bd zenon_H1dc zenon_H18c zenon_H239. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.77/11.97 apply (zenon_L513_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.77/11.97 exact (zenon_H237 zenon_H12c). % 11.77/11.97 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.77/11.97 apply (zenon_L390_); trivial. % 11.77/11.97 apply (zenon_L500_); trivial. % 11.77/11.97 (* end of lemma zenon_L514_ *) % 11.77/11.97 assert (zenon_L515_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e2)) = (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 (e1) (e1)) = (e0))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.77/11.97 do 0 intro. intros zenon_H262 zenon_Hc0 zenon_Hf7 zenon_Hb1 zenon_H19e zenon_H65 zenon_H8d zenon_H168 zenon_H5f zenon_H17f zenon_H95 zenon_H49 zenon_H28 zenon_H1e5 zenon_H1f zenon_H237 zenon_H85 zenon_H59 zenon_H167 zenon_H1e zenon_H1bd zenon_H1dc zenon_H18c zenon_H239. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.77/11.97 apply (zenon_L128_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.77/11.97 apply (zenon_L130_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.77/11.97 apply (zenon_L224_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.77/11.97 apply (zenon_L96_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.77/11.97 apply (zenon_L497_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.77/11.97 apply (zenon_L191_); trivial. % 11.77/11.97 apply (zenon_L111_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.77/11.97 exact (zenon_H237 zenon_H12c). % 11.77/11.97 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.77/11.97 apply (zenon_L390_); trivial. % 11.77/11.97 apply (zenon_L500_); trivial. % 11.77/11.97 (* end of lemma zenon_L515_ *) % 11.77/11.97 assert (zenon_L516_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> False). % 11.77/11.97 do 0 intro. intros zenon_H1e5 zenon_H8d zenon_H8c zenon_H237 zenon_H59 zenon_H166 zenon_H63 zenon_H34 zenon_H49 zenon_H236 zenon_H85 zenon_H5f zenon_H28. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.77/11.97 apply (zenon_L35_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.77/11.97 exact (zenon_H237 zenon_H12c). % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.77/11.97 apply (zenon_L426_); trivial. % 11.77/11.97 apply (zenon_L510_); trivial. % 11.77/11.97 (* end of lemma zenon_L516_ *) % 11.77/11.97 assert (zenon_L517_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e3) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False). % 11.77/11.97 do 0 intro. intros zenon_H222 zenon_Hda zenon_H1e zenon_Hb8 zenon_H28 zenon_H114 zenon_H59 zenon_Hfb zenon_H92. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.77/11.97 apply (zenon_L358_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.77/11.97 apply (zenon_L264_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.77/11.97 apply (zenon_L158_); trivial. % 11.77/11.97 apply (zenon_L482_); trivial. % 11.77/11.97 (* end of lemma zenon_L517_ *) % 11.77/11.97 assert (zenon_L518_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False). % 11.77/11.97 do 0 intro. intros zenon_H166 zenon_H63 zenon_H34 zenon_H236 zenon_H1ca zenon_Hb4 zenon_Hbe zenon_H5f zenon_H49 zenon_H257 zenon_H85 zenon_H222 zenon_Hda zenon_H1e zenon_H28 zenon_H59 zenon_Hfb zenon_H92. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.97 apply (zenon_L22_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.97 apply (zenon_L326_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.97 apply (zenon_L59_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.77/11.97 apply (zenon_L122_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.77/11.97 apply (zenon_L224_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.77/11.97 apply (zenon_L392_); trivial. % 11.77/11.97 apply (zenon_L517_); trivial. % 11.77/11.97 (* end of lemma zenon_L518_ *) % 11.77/11.97 assert (zenon_L519_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e3)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((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)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> False). % 11.77/11.97 do 0 intro. intros zenon_Hca zenon_Hf7 zenon_H19e zenon_H168 zenon_H17f zenon_H95 zenon_H1f zenon_H1bd zenon_H1dc zenon_H239 zenon_H6a zenon_H78 zenon_Hc3 zenon_Hd9 zenon_H1e5 zenon_Hfb zenon_H59 zenon_H28 zenon_H1e zenon_Hda zenon_H222 zenon_H85 zenon_H257 zenon_H49 zenon_H5f zenon_Hb4 zenon_H1ca zenon_H236 zenon_H34 zenon_H166 zenon_H237 zenon_H167 zenon_H8d zenon_H4a zenon_H18c zenon_H262 zenon_Hb1. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.77/11.97 apply (zenon_L493_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.77/11.97 apply (zenon_L127_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.77/11.97 apply (zenon_L15_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.77/11.97 apply (zenon_L64_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.77/11.97 apply (zenon_L210_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.77/11.97 apply (zenon_L514_); trivial. % 11.77/11.97 apply (zenon_L515_); trivial. % 11.77/11.97 apply (zenon_L117_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.77/11.97 apply (zenon_L221_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.77/11.97 apply (zenon_L64_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.77/11.97 apply (zenon_L516_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.77/11.97 apply (zenon_L513_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.77/11.97 exact (zenon_H237 zenon_H12c). % 11.77/11.97 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.77/11.97 apply (zenon_L390_); trivial. % 11.77/11.97 apply (zenon_L518_); trivial. % 11.77/11.97 apply (zenon_L115_); trivial. % 11.77/11.97 (* end of lemma zenon_L519_ *) % 11.77/11.97 assert (zenon_L520_ : (((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False). % 11.77/11.97 do 0 intro. intros zenon_H2c zenon_H7e zenon_H84 zenon_H85 zenon_Hc3 zenon_H95 zenon_H19e zenon_Hf7 zenon_H168 zenon_H78 zenon_H17f zenon_H89 zenon_H19f zenon_Hb4 zenon_H49 zenon_H257 zenon_H155 zenon_H1ca zenon_H8d zenon_Hb1 zenon_H59 zenon_H5f zenon_H28 zenon_H6a zenon_H34 zenon_H121 zenon_H236 zenon_H128 zenon_H166 zenon_H4a zenon_Hcd zenon_H1bd zenon_Hca. % 11.77/11.97 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1d. zenon_intro zenon_H2d. % 11.77/11.97 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2a. zenon_intro zenon_H26. % 11.77/11.97 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H219. zenon_intro zenon_H218. % 11.77/11.97 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21b. zenon_intro zenon_H21a. % 11.77/11.97 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21d. zenon_intro zenon_H21c. % 11.77/11.97 apply (zenon_L499_); trivial. % 11.77/11.97 (* end of lemma zenon_L520_ *) % 11.77/11.97 assert (zenon_L521_ : (((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) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.77/11.97 do 0 intro. intros zenon_Hc3 zenon_Hb1 zenon_H6d zenon_H130 zenon_H43 zenon_H6f zenon_H236 zenon_H49 zenon_H237 zenon_H132 zenon_H8d zenon_H2f zenon_H7c zenon_Hb4. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.77/11.97 apply (zenon_L49_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.77/11.97 apply (zenon_L329_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.77/11.97 apply (zenon_L50_); trivial. % 11.77/11.97 apply (zenon_L51_); trivial. % 11.77/11.97 (* end of lemma zenon_L521_ *) % 11.77/11.97 assert (zenon_L522_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> False). % 11.77/11.97 do 0 intro. intros zenon_H1e5 zenon_H8d zenon_H237 zenon_H5b zenon_H84 zenon_H166 zenon_Hb1 zenon_H8c zenon_H49 zenon_H236 zenon_H85 zenon_H5f zenon_H28. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.77/11.97 apply (zenon_L35_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.77/11.97 exact (zenon_H237 zenon_H12c). % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.77/11.97 apply (zenon_L317_); trivial. % 11.77/11.97 apply (zenon_L502_); trivial. % 11.77/11.97 (* end of lemma zenon_L522_ *) % 11.77/11.97 assert (zenon_L523_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> False). % 11.77/11.97 do 0 intro. intros zenon_H7e zenon_Hcd zenon_H89 zenon_H2f zenon_H132 zenon_H43 zenon_H130 zenon_H59 zenon_Hc3 zenon_H6d zenon_H28 zenon_H236 zenon_Hb1 zenon_H166 zenon_H84 zenon_H5b zenon_H237 zenon_H8d zenon_H1e5 zenon_H155 zenon_H85 zenon_H257 zenon_H49 zenon_H5f zenon_H1ca zenon_Hb4. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/11.97 apply (zenon_L47_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/11.97 apply (zenon_L57_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/11.97 apply (zenon_L48_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.77/11.97 apply (zenon_L47_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.77/11.97 apply (zenon_L521_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.77/11.97 apply (zenon_L20_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.77/11.97 apply (zenon_L49_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.77/11.97 apply (zenon_L522_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.77/11.97 apply (zenon_L494_); trivial. % 11.77/11.97 apply (zenon_L51_); trivial. % 11.77/11.97 (* end of lemma zenon_L523_ *) % 11.77/11.97 assert (zenon_L524_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.77/11.97 do 0 intro. intros zenon_H1d0 zenon_H5b zenon_Hd5 zenon_Hfb zenon_He1 zenon_H8d zenon_H1e2 zenon_Hb1 zenon_H68 zenon_H103 zenon_Hfa zenon_Hf5. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.77/11.97 apply (zenon_L62_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.77/11.97 apply (zenon_L247_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.77/11.97 apply (zenon_L227_); trivial. % 11.77/11.97 apply (zenon_L168_); trivial. % 11.77/11.97 (* end of lemma zenon_L524_ *) % 11.77/11.97 assert (zenon_L525_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.77/11.97 do 0 intro. intros zenon_H1e5 zenon_H28 zenon_H3c zenon_H2a zenon_H43 zenon_H85 zenon_H59 zenon_H8d zenon_Hb5. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.77/11.97 apply (zenon_L11_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.77/11.97 apply (zenon_L92_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.77/11.97 apply (zenon_L426_); trivial. % 11.77/11.97 apply (zenon_L226_); trivial. % 11.77/11.97 (* end of lemma zenon_L525_ *) % 11.77/11.97 assert (zenon_L526_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (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)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e1) (e3)) = (e0)) -> (~((e1) = (e3))) -> False). % 11.77/11.97 do 0 intro. intros zenon_H157 zenon_H28 zenon_H5f zenon_H49 zenon_H10d zenon_H1d0 zenon_H8d zenon_H5b zenon_Hb4 zenon_H85 zenon_H92 zenon_Hb1. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.77/11.97 apply (zenon_L60_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.77/11.97 apply (zenon_L59_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.77/11.97 apply (zenon_L438_); trivial. % 11.77/11.97 apply (zenon_L465_); trivial. % 11.77/11.97 (* end of lemma zenon_L526_ *) % 11.77/11.97 assert (zenon_L527_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.77/11.97 do 0 intro. intros zenon_H6a zenon_Hb4 zenon_H1ca zenon_H257 zenon_H155 zenon_H1e5 zenon_H8d zenon_H237 zenon_H84 zenon_Hb1 zenon_Hc3 zenon_H59 zenon_H130 zenon_H43 zenon_H132 zenon_H2f zenon_H89 zenon_Hcd zenon_H7e zenon_H4a zenon_H28 zenon_H5b zenon_H166 zenon_H63 zenon_H34 zenon_H49 zenon_H236 zenon_H85 zenon_H5f zenon_H121. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/11.97 apply (zenon_L47_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/11.97 apply (zenon_L57_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/11.97 apply (zenon_L48_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.77/11.97 apply (zenon_L47_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.77/11.97 apply (zenon_L521_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.77/11.97 apply (zenon_L20_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.77/11.97 apply (zenon_L49_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.77/11.97 apply (zenon_L35_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.77/11.97 exact (zenon_H237 zenon_H12c). % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.77/11.97 apply (zenon_L317_); trivial. % 11.77/11.97 apply (zenon_L510_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.77/11.97 apply (zenon_L494_); trivial. % 11.77/11.97 apply (zenon_L51_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.77/11.97 apply (zenon_L15_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.77/11.97 apply (zenon_L60_); trivial. % 11.77/11.97 apply (zenon_L498_); trivial. % 11.77/11.97 (* end of lemma zenon_L527_ *) % 11.77/11.97 assert (zenon_L528_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.77/11.97 do 0 intro. intros zenon_H7e zenon_Hcd zenon_H59 zenon_H89 zenon_H5f zenon_H2f zenon_H8d zenon_H132 zenon_H237 zenon_H49 zenon_H236 zenon_H43 zenon_H130 zenon_H6d zenon_Hb1 zenon_Hc3 zenon_H85 zenon_H84 zenon_Hb4 zenon_Hd9. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/11.97 apply (zenon_L47_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/11.97 apply (zenon_L57_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/11.97 apply (zenon_L48_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.77/11.97 apply (zenon_L47_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.77/11.97 apply (zenon_L521_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.77/11.97 apply (zenon_L32_); trivial. % 11.77/11.97 apply (zenon_L149_); trivial. % 11.77/11.97 (* end of lemma zenon_L528_ *) % 11.77/11.97 assert (zenon_L529_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.77/11.97 do 0 intro. intros zenon_H6a zenon_Hb4 zenon_H84 zenon_H85 zenon_Hc3 zenon_H130 zenon_H43 zenon_H236 zenon_H237 zenon_H132 zenon_H8d zenon_H2f zenon_H5f zenon_H89 zenon_H59 zenon_Hcd zenon_H7e zenon_H4a zenon_H49 zenon_H28 zenon_H5b zenon_Hb1 zenon_Hd9. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.77/11.97 apply (zenon_L528_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.77/11.97 apply (zenon_L15_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.77/11.97 apply (zenon_L60_); trivial. % 11.77/11.97 apply (zenon_L117_); trivial. % 11.77/11.97 (* end of lemma zenon_L529_ *) % 11.77/11.97 assert (zenon_L530_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> False). % 11.77/11.97 do 0 intro. intros zenon_Hf7 zenon_H33 zenon_H92. % 11.77/11.97 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e1) (e3)))). % 11.77/11.97 intro zenon_D_pnotp. % 11.77/11.97 apply zenon_Hf7. % 11.77/11.97 rewrite <- zenon_D_pnotp. % 11.77/11.97 exact zenon_H33. % 11.77/11.97 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H265]. % 11.77/11.97 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.77/11.97 congruence. % 11.77/11.97 apply zenon_H36. apply refl_equal. % 11.77/11.97 apply zenon_H265. apply sym_equal. exact zenon_H92. % 11.77/11.97 (* end of lemma zenon_L530_ *) % 11.77/11.97 assert (zenon_L531_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> False). % 11.77/11.97 do 0 intro. intros zenon_H39 zenon_H4a zenon_H176 zenon_H28 zenon_H49 zenon_Hf7 zenon_H262. % 11.77/11.97 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H33. zenon_intro zenon_H3a. % 11.77/11.97 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H67. zenon_intro zenon_H26. % 11.77/11.97 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H219. zenon_intro zenon_H218. % 11.77/11.97 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21b. zenon_intro zenon_H21a. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H237 | zenon_intro zenon_H29 ]. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.77/11.97 apply (zenon_L296_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.77/11.97 exact (zenon_H237 zenon_H12c). % 11.77/11.97 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.77/11.97 apply (zenon_L390_); trivial. % 11.77/11.97 apply (zenon_L530_); trivial. % 11.77/11.97 apply (zenon_L15_); trivial. % 11.77/11.97 (* end of lemma zenon_L531_ *) % 11.77/11.97 assert (zenon_L532_ : (((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> False). % 11.77/11.97 do 0 intro. intros zenon_H47 zenon_H236 zenon_H49. % 11.77/11.97 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H44. zenon_intro zenon_H48. % 11.77/11.97 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H44. zenon_intro zenon_H42. % 11.77/11.97 apply (zenon_L326_); trivial. % 11.77/11.97 (* end of lemma zenon_L532_ *) % 11.77/11.97 assert (zenon_L533_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> False). % 11.77/11.97 do 0 intro. intros zenon_H4f zenon_H5f zenon_H85. % 11.77/11.97 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H49. zenon_intro zenon_H50. % 11.77/11.97 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_Haf. zenon_intro zenon_H42. % 11.77/11.97 apply (zenon_L59_); trivial. % 11.77/11.97 (* end of lemma zenon_L533_ *) % 11.77/11.97 assert (zenon_L534_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False). % 11.77/11.97 do 0 intro. intros zenon_H56 zenon_H49 zenon_H1dc. % 11.77/11.97 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H51. zenon_intro zenon_H57. % 11.77/11.97 apply (zenon_L219_); trivial. % 11.77/11.97 (* end of lemma zenon_L534_ *) % 11.77/11.97 assert (zenon_L535_ : (((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> False). % 11.77/11.97 do 0 intro. intros zenon_H1ee zenon_H84 zenon_H85. % 11.77/11.97 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H5a. zenon_intro zenon_H1ef. % 11.77/11.97 apply (zenon_L32_); trivial. % 11.77/11.97 (* end of lemma zenon_L535_ *) % 11.77/11.97 assert (zenon_L536_ : (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.77/11.97 do 0 intro. intros zenon_H1f0 zenon_H49 zenon_H5f. % 11.77/11.97 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H85. zenon_intro zenon_H1f1. % 11.77/11.97 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H79. zenon_intro zenon_H11d. % 11.77/11.97 apply (zenon_L224_); trivial. % 11.77/11.97 (* end of lemma zenon_L536_ *) % 11.77/11.97 assert (zenon_L537_ : (((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> False). % 11.77/11.97 do 0 intro. intros zenon_H11b zenon_H85 zenon_H1aa. % 11.77/11.97 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H117. zenon_intro zenon_H11c. % 11.77/11.97 apply (zenon_L340_); trivial. % 11.77/11.97 (* end of lemma zenon_L537_ *) % 11.77/11.97 assert (zenon_L538_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.77/11.97 do 0 intro. intros zenon_H1d0 zenon_Hb1 zenon_H65 zenon_H1a4 zenon_Hb5 zenon_He7 zenon_Hfa zenon_Hf5. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.77/11.97 apply (zenon_L352_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.77/11.97 apply (zenon_L250_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.77/11.97 exact (zenon_He7 zenon_He0). % 11.77/11.97 apply (zenon_L168_); trivial. % 11.77/11.97 (* end of lemma zenon_L538_ *) % 11.77/11.97 assert (zenon_L539_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e2)) -> False). % 11.77/11.97 do 0 intro. intros zenon_H167 zenon_H8d zenon_Hbe zenon_H49 zenon_H28 zenon_H5b zenon_H163 zenon_H59 zenon_H114. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.77/11.97 apply (zenon_L50_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.77/11.97 apply (zenon_L390_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.77/11.97 apply (zenon_L109_); trivial. % 11.77/11.97 apply (zenon_L158_); trivial. % 11.77/11.97 (* end of lemma zenon_L539_ *) % 11.77/11.97 assert (zenon_L540_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> False). % 11.77/11.97 do 0 intro. intros zenon_H173 zenon_H114 zenon_H59 zenon_H163 zenon_H28 zenon_H49 zenon_Hbe zenon_H8d zenon_H167 zenon_H170 zenon_H85 zenon_H84 zenon_H68 zenon_H164. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H5b | zenon_intro zenon_H174 ]. % 11.77/11.97 apply (zenon_L539_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H65 | zenon_intro zenon_H175 ]. % 11.77/11.97 apply (zenon_L222_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd7 ]. % 11.77/11.97 apply (zenon_L32_); trivial. % 11.77/11.97 apply (zenon_L139_); trivial. % 11.77/11.97 (* end of lemma zenon_L540_ *) % 11.77/11.97 assert (zenon_L541_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False). % 11.77/11.97 do 0 intro. intros zenon_H233 zenon_H164 zenon_Hd4 zenon_H3c zenon_H2e zenon_H114 zenon_H212 zenon_H78 zenon_H13b. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H2f | zenon_intro zenon_H234 ]. % 11.77/11.97 apply (zenon_L195_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H5d | zenon_intro zenon_H235 ]. % 11.77/11.97 apply (zenon_L58_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H5e | zenon_intro zenon_Hbe ]. % 11.77/11.97 apply (zenon_L429_); trivial. % 11.77/11.97 apply (zenon_L132_); trivial. % 11.77/11.97 (* end of lemma zenon_L541_ *) % 11.77/11.97 assert (zenon_L542_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e2)) -> False). % 11.77/11.97 do 0 intro. intros zenon_H1d1 zenon_H68 zenon_H84 zenon_H85 zenon_H170 zenon_H167 zenon_H8d zenon_H49 zenon_H28 zenon_H163 zenon_H59 zenon_H173 zenon_H78 zenon_H212 zenon_H2e zenon_H3c zenon_Hd4 zenon_H164 zenon_H233 zenon_He7 zenon_Hb4 zenon_H114. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d4 ]. % 11.77/11.97 apply (zenon_L540_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13b | zenon_intro zenon_H1d5 ]. % 11.77/11.97 apply (zenon_L541_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ]. % 11.77/11.97 exact (zenon_He7 zenon_He0). % 11.77/11.97 apply (zenon_L275_); trivial. % 11.77/11.97 (* end of lemma zenon_L542_ *) % 11.77/11.97 assert (zenon_L543_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> False). % 11.77/11.97 do 0 intro. intros zenon_H1ca zenon_Hbe zenon_H5f zenon_H257 zenon_H1d1 zenon_H68 zenon_H84 zenon_H85 zenon_H170 zenon_H167 zenon_H8d zenon_H49 zenon_H28 zenon_H163 zenon_H59 zenon_H173 zenon_H78 zenon_H212 zenon_H2e zenon_H3c zenon_Hd4 zenon_H164 zenon_H233 zenon_He7 zenon_Hb4. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.77/11.97 apply (zenon_L122_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.77/11.97 apply (zenon_L224_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.77/11.97 apply (zenon_L392_); trivial. % 11.77/11.97 apply (zenon_L542_); trivial. % 11.77/11.97 (* end of lemma zenon_L543_ *) % 11.77/11.97 assert (zenon_L544_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e0)) -> False). % 11.77/11.97 do 0 intro. intros zenon_H1d1 zenon_H59 zenon_H85 zenon_H257 zenon_H5f zenon_Hb4 zenon_H1ca zenon_Hb1 zenon_H49 zenon_He7 zenon_H8d zenon_H13f. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d4 ]. % 11.77/11.97 apply (zenon_L512_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13b | zenon_intro zenon_H1d5 ]. % 11.77/11.97 apply (zenon_L191_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ]. % 11.77/11.97 exact (zenon_He7 zenon_He0). % 11.77/11.97 apply (zenon_L294_); trivial. % 11.77/11.97 (* end of lemma zenon_L544_ *) % 11.77/11.97 assert (zenon_L545_ : ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((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 (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> False). % 11.77/11.97 do 0 intro. intros zenon_Hfa zenon_Hf7 zenon_Hb5 zenon_H17a zenon_Hbd zenon_Hc3 zenon_H233 zenon_Hd4 zenon_H3c zenon_H2e zenon_H212 zenon_H78 zenon_H173 zenon_H163 zenon_H28 zenon_H167 zenon_H170 zenon_H84 zenon_H68 zenon_Hbe zenon_H1d1 zenon_H59 zenon_H85 zenon_H257 zenon_H5f zenon_Hb4 zenon_H1ca zenon_Hb1 zenon_H49 zenon_He7 zenon_H8d. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.77/11.97 apply (zenon_L269_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.77/11.97 apply (zenon_L390_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.77/11.97 apply (zenon_L543_); trivial. % 11.77/11.97 apply (zenon_L544_); trivial. % 11.77/11.97 (* end of lemma zenon_L545_ *) % 11.77/11.97 assert (zenon_L546_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.77/11.97 do 0 intro. intros zenon_H6a zenon_H28 zenon_H1e zenon_H4a zenon_Hf5 zenon_Hfa zenon_He7 zenon_Hb5 zenon_H1a4 zenon_Hb1 zenon_H1d0 zenon_H166 zenon_H63 zenon_H34 zenon_H49 zenon_H236 zenon_H85 zenon_H5f zenon_H121. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.77/11.97 apply (zenon_L493_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.77/11.97 apply (zenon_L15_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.77/11.97 apply (zenon_L538_); trivial. % 11.77/11.97 apply (zenon_L498_); trivial. % 11.77/11.97 (* end of lemma zenon_L546_ *) % 11.77/11.97 assert (zenon_L547_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (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))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e3))) -> False). % 11.77/11.97 do 0 intro. intros zenon_H166 zenon_H28 zenon_H49 zenon_H236 zenon_H5f zenon_H128 zenon_H8d zenon_H1d zenon_H9c zenon_Hb4 zenon_H85 zenon_Hb1. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.97 apply (zenon_L11_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.97 apply (zenon_L326_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.97 apply (zenon_L59_); trivial. % 11.77/11.97 apply (zenon_L91_); trivial. % 11.77/11.97 (* end of lemma zenon_L547_ *) % 11.77/11.97 assert (zenon_L548_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.77/11.97 do 0 intro. intros zenon_Hc3 zenon_Hb1 zenon_H6d zenon_H17a zenon_Hb5 zenon_Hb4 zenon_H5e zenon_H33 zenon_H8d. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.77/11.97 apply (zenon_L49_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.77/11.97 apply (zenon_L121_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.77/11.97 apply (zenon_L122_); trivial. % 11.77/11.97 apply (zenon_L267_); trivial. % 11.77/11.97 (* end of lemma zenon_L548_ *) % 11.77/11.97 assert (zenon_L549_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((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). % 11.77/11.97 do 0 intro. intros zenon_H7e zenon_H5f zenon_Hcd zenon_H85 zenon_H8d zenon_Hb4 zenon_Hb5 zenon_H17a zenon_H6d zenon_Hb1 zenon_Hc3 zenon_H33 zenon_H59. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/11.97 apply (zenon_L47_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/11.97 apply (zenon_L57_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/11.97 apply (zenon_L548_); trivial. % 11.77/11.97 apply (zenon_L416_); trivial. % 11.77/11.97 (* end of lemma zenon_L549_ *) % 11.77/11.97 assert (zenon_L550_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (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 (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.77/11.97 do 0 intro. intros zenon_Hca zenon_H59 zenon_Hc3 zenon_H17a zenon_Hb4 zenon_H8d zenon_H85 zenon_Hcd zenon_H5f zenon_H7e zenon_H67 zenon_H1d0 zenon_Hb1 zenon_H1a4 zenon_Hb5 zenon_He7 zenon_Hfa zenon_Hf5 zenon_H4a zenon_H1f zenon_H6a zenon_H78 zenon_H49 zenon_H33 zenon_H28. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.77/11.97 apply (zenon_L549_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.77/11.97 apply (zenon_L127_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.77/11.97 apply (zenon_L15_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.77/11.97 apply (zenon_L538_); trivial. % 11.77/11.97 apply (zenon_L24_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.77/11.97 apply (zenon_L221_); trivial. % 11.77/11.97 apply (zenon_L335_); trivial. % 11.77/11.97 (* end of lemma zenon_L550_ *) % 11.77/11.97 assert (zenon_L551_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (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 (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.77/11.97 do 0 intro. intros zenon_H1e8 zenon_H215 zenon_H1e5 zenon_H43 zenon_H1ca zenon_H257 zenon_H1d1 zenon_H163 zenon_H1be zenon_H167 zenon_Hca zenon_H59 zenon_Hc3 zenon_H17a zenon_Hb4 zenon_H8d zenon_H85 zenon_Hcd zenon_H5f zenon_H7e zenon_H1d0 zenon_Hb1 zenon_H1a4 zenon_Hb5 zenon_He7 zenon_Hfa zenon_Hf5 zenon_H4a zenon_H1f zenon_H6a zenon_H78 zenon_H49 zenon_H33 zenon_H28. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.77/11.97 apply (zenon_L291_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.77/11.97 apply (zenon_L549_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.77/11.97 apply (zenon_L525_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.77/11.97 apply (zenon_L221_); trivial. % 11.77/11.97 apply (zenon_L335_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.77/11.97 apply (zenon_L187_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.77/11.97 apply (zenon_L390_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.77/11.97 apply (zenon_L109_); trivial. % 11.77/11.97 apply (zenon_L544_); trivial. % 11.77/11.97 apply (zenon_L550_); trivial. % 11.77/11.97 (* end of lemma zenon_L551_ *) % 11.77/11.97 assert (zenon_L552_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False). % 11.77/11.97 do 0 intro. intros zenon_Hc3 zenon_Hbd zenon_Hb1 zenon_H3c zenon_H212 zenon_Hdf zenon_H186 zenon_H106. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.77/11.97 exact (zenon_Hbd zenon_Hbc). % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.77/11.97 apply (zenon_L210_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.77/11.97 apply (zenon_L290_); trivial. % 11.77/11.97 apply (zenon_L243_); trivial. % 11.77/11.97 (* end of lemma zenon_L552_ *) % 11.77/11.97 assert (zenon_L553_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (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) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.77/11.97 do 0 intro. intros zenon_Hca zenon_H186 zenon_H212 zenon_Hc3 zenon_H78 zenon_H6a zenon_H1b3 zenon_H106 zenon_H1b1 zenon_Hb1 zenon_Hbd zenon_H19f zenon_H155 zenon_Hdf zenon_Hab zenon_H21f zenon_H8d zenon_H28 zenon_H1e zenon_Hda zenon_H222 zenon_H166 zenon_H34 zenon_H49 zenon_H236 zenon_H85 zenon_H5f zenon_H121. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.77/11.97 apply (zenon_L493_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.77/11.97 apply (zenon_L552_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.77/11.97 apply (zenon_L221_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.77/11.97 apply (zenon_L493_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.77/11.97 apply (zenon_L176_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.97 apply (zenon_L22_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.97 apply (zenon_L326_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.97 apply (zenon_L59_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.77/11.97 apply (zenon_L358_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.77/11.97 apply (zenon_L264_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.77/11.97 apply (zenon_L294_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H67 | zenon_intro zenon_H220 ]. % 11.77/11.97 apply (zenon_L41_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H68 | zenon_intro zenon_H221 ]. % 11.77/11.97 apply (zenon_L367_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd9 ]. % 11.77/11.97 apply (zenon_L363_); trivial. % 11.77/11.97 apply (zenon_L105_); trivial. % 11.77/11.97 apply (zenon_L498_); trivial. % 11.77/11.97 (* end of lemma zenon_L553_ *) % 11.77/11.97 assert (zenon_L554_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.77/11.97 do 0 intro. intros zenon_H168 zenon_H8d zenon_H2a zenon_H9c zenon_Hb1 zenon_H49 zenon_H106 zenon_Hf5. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.77/11.97 apply (zenon_L96_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.77/11.97 exact (zenon_H9c zenon_H9b). % 11.77/11.97 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.77/11.97 apply (zenon_L191_); trivial. % 11.77/11.97 apply (zenon_L168_); trivial. % 11.77/11.97 (* end of lemma zenon_L554_ *) % 11.77/11.97 assert (zenon_L555_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> False). % 11.77/11.97 do 0 intro. intros zenon_H167 zenon_H5e zenon_H28 zenon_H5b zenon_H163 zenon_H1d1 zenon_H59 zenon_H85 zenon_H257 zenon_H5f zenon_Hb4 zenon_H1ca zenon_Hb1 zenon_H49 zenon_He7 zenon_H8d. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.77/11.97 apply (zenon_L48_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.77/11.97 apply (zenon_L390_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.77/11.97 apply (zenon_L109_); trivial. % 11.77/11.97 apply (zenon_L544_); trivial. % 11.77/11.97 (* end of lemma zenon_L555_ *) % 11.77/11.97 assert (zenon_L556_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> False). % 11.77/11.97 do 0 intro. intros zenon_H166 zenon_H8c zenon_H49 zenon_H236 zenon_H5f zenon_H19e zenon_H170 zenon_H67 zenon_H85 zenon_H59 zenon_Hb1 zenon_H173 zenon_H163 zenon_H70 zenon_H6f zenon_H1b1 zenon_H1a4 zenon_Hc7 zenon_H6d zenon_H157 zenon_H8d zenon_H106. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.97 apply (zenon_L210_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.97 apply (zenon_L326_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.97 apply (zenon_L59_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.77/11.97 apply (zenon_L281_); trivial. % 11.77/11.97 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.77/11.98 apply (zenon_L426_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.77/11.98 apply (zenon_L262_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.77/11.98 apply (zenon_L151_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H5b | zenon_intro zenon_H174 ]. % 11.77/11.98 apply (zenon_L109_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H65 | zenon_intro zenon_H175 ]. % 11.77/11.98 apply (zenon_L299_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd7 ]. % 11.77/11.98 apply (zenon_L26_); trivial. % 11.77/11.98 apply (zenon_L174_); trivial. % 11.77/11.98 apply (zenon_L75_); trivial. % 11.77/11.98 apply (zenon_L208_); trivial. % 11.77/11.98 (* end of lemma zenon_L556_ *) % 11.77/11.98 assert (zenon_L557_ : (((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 (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.77/11.98 do 0 intro. intros zenon_H1fb zenon_H67 zenon_H121 zenon_H17a zenon_H3c zenon_H85 zenon_H1a4 zenon_Hdf zenon_H239. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fc ]. % 11.77/11.98 apply (zenon_L273_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1fd ]. % 11.77/11.98 apply (zenon_L236_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ]. % 11.77/11.98 apply (zenon_L410_); trivial. % 11.77/11.98 apply (zenon_L339_); trivial. % 11.77/11.98 (* end of lemma zenon_L557_ *) % 11.77/11.98 assert (zenon_L558_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.77/11.98 do 0 intro. intros zenon_H6a zenon_Hcd zenon_H7e zenon_H155 zenon_H1b3 zenon_H1b1 zenon_Hb1 zenon_Hbd zenon_H19f zenon_H106 zenon_H8d zenon_Hd4 zenon_H2f zenon_H59 zenon_H28 zenon_H19e zenon_H166 zenon_H63 zenon_H34 zenon_H49 zenon_H236 zenon_H85 zenon_H5f zenon_H121. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/11.98 apply (zenon_L47_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/11.98 apply (zenon_L57_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/11.98 apply (zenon_L48_); trivial. % 11.77/11.98 apply (zenon_L29_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.77/11.98 apply (zenon_L176_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.77/11.98 apply (zenon_L60_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.77/11.98 apply (zenon_L426_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.77/11.98 apply (zenon_L195_); trivial. % 11.77/11.98 apply (zenon_L208_); trivial. % 11.77/11.98 apply (zenon_L498_); trivial. % 11.77/11.98 (* end of lemma zenon_L558_ *) % 11.77/11.98 assert (zenon_L559_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.77/11.98 do 0 intro. intros zenon_H128 zenon_Hb1 zenon_H3c zenon_H9c zenon_Hb4 zenon_H85 zenon_Hdf zenon_H239. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.77/11.98 apply (zenon_L210_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.77/11.98 exact (zenon_H9c zenon_H9b). % 11.77/11.98 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.77/11.98 apply (zenon_L63_); trivial. % 11.77/11.98 apply (zenon_L339_); trivial. % 11.77/11.98 (* end of lemma zenon_L559_ *) % 11.77/11.98 assert (zenon_L560_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.77/11.98 do 0 intro. intros zenon_H1e8 zenon_H215 zenon_Hf5 zenon_H168 zenon_H128 zenon_H9c zenon_He7 zenon_H1ca zenon_H257 zenon_H1d1 zenon_H167 zenon_Hca zenon_H59 zenon_H89 zenon_H8d zenon_Hb4 zenon_H166 zenon_H236 zenon_H5f zenon_H19e zenon_H170 zenon_Hb1 zenon_H173 zenon_H163 zenon_H70 zenon_H1b1 zenon_Hc7 zenon_H157 zenon_H106 zenon_Hc3 zenon_H84 zenon_Hcd zenon_H7e zenon_H239 zenon_Hdf zenon_H1a4 zenon_H85 zenon_H17a zenon_H121 zenon_H1fb zenon_H78 zenon_H49 zenon_H33 zenon_H28. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.77/11.98 apply (zenon_L291_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.77/11.98 apply (zenon_L554_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/11.98 apply (zenon_L47_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/11.98 apply (zenon_L57_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/11.98 apply (zenon_L555_); trivial. % 11.77/11.98 apply (zenon_L416_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.77/11.98 apply (zenon_L559_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.77/11.98 apply (zenon_L221_); trivial. % 11.77/11.98 apply (zenon_L335_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/11.98 apply (zenon_L47_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/11.98 apply (zenon_L57_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.77/11.98 apply (zenon_L47_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.77/11.98 apply (zenon_L49_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.77/11.98 apply (zenon_L556_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.77/11.98 apply (zenon_L122_); trivial. % 11.77/11.98 apply (zenon_L267_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.77/11.98 apply (zenon_L32_); trivial. % 11.77/11.98 apply (zenon_L33_); trivial. % 11.77/11.98 apply (zenon_L416_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.77/11.98 apply (zenon_L557_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.77/11.98 apply (zenon_L221_); trivial. % 11.77/11.98 apply (zenon_L335_); trivial. % 11.77/11.98 (* end of lemma zenon_L560_ *) % 11.77/11.98 assert (zenon_L561_ : (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> False). % 11.77/11.98 do 0 intro. intros zenon_H266 zenon_Hb5 zenon_Hf9. % 11.77/11.98 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e3) (e3)))). % 11.77/11.98 intro zenon_D_pnotp. % 11.77/11.98 apply zenon_H266. % 11.77/11.98 rewrite <- zenon_D_pnotp. % 11.77/11.98 exact zenon_Hb5. % 11.77/11.98 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H229]. % 11.77/11.98 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 11.77/11.98 congruence. % 11.77/11.98 apply zenon_H123. apply refl_equal. % 11.77/11.98 apply zenon_H229. apply sym_equal. exact zenon_Hf9. % 11.77/11.98 (* end of lemma zenon_L561_ *) % 11.77/11.98 assert (zenon_L562_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.77/11.98 do 0 intro. intros zenon_H168 zenon_H29 zenon_H9c zenon_Hb1 zenon_H49 zenon_Hf9 zenon_Hfb. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.77/11.98 apply (zenon_L126_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.77/11.98 exact (zenon_H9c zenon_H9b). % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.77/11.98 apply (zenon_L191_); trivial. % 11.77/11.98 apply (zenon_L72_); trivial. % 11.77/11.98 (* end of lemma zenon_L562_ *) % 11.77/11.98 assert (zenon_L563_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.77/11.98 do 0 intro. intros zenon_H1d1 zenon_Hb4 zenon_H5e zenon_Hb1 zenon_H49 zenon_He7 zenon_H228 zenon_Hf9. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d4 ]. % 11.77/11.98 apply (zenon_L122_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13b | zenon_intro zenon_H1d5 ]. % 11.77/11.98 apply (zenon_L191_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ]. % 11.77/11.98 exact (zenon_He7 zenon_He0). % 11.77/11.98 apply (zenon_L306_); trivial. % 11.77/11.98 (* end of lemma zenon_L563_ *) % 11.77/11.98 assert (zenon_L564_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.77/11.98 do 0 intro. intros zenon_H6a zenon_Hfb zenon_H9c zenon_H168 zenon_Hf9 zenon_Hab zenon_H21f zenon_H59 zenon_H28 zenon_H1e zenon_Hda zenon_H222 zenon_H257 zenon_H1d1 zenon_Hb4 zenon_Hb1 zenon_He7 zenon_H228 zenon_H1ca zenon_H166 zenon_H63 zenon_H34 zenon_H49 zenon_H236 zenon_H85 zenon_H5f zenon_H121. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.77/11.98 apply (zenon_L493_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.77/11.98 apply (zenon_L562_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.98 apply (zenon_L22_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.98 apply (zenon_L326_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.98 apply (zenon_L59_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.77/11.98 apply (zenon_L563_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.77/11.98 apply (zenon_L224_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.77/11.98 apply (zenon_L392_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.77/11.98 apply (zenon_L358_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.77/11.98 apply (zenon_L264_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.77/11.98 apply (zenon_L158_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H67 | zenon_intro zenon_H220 ]. % 11.77/11.98 apply (zenon_L41_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H68 | zenon_intro zenon_H221 ]. % 11.77/11.98 apply (zenon_L367_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd9 ]. % 11.77/11.98 apply (zenon_L363_); trivial. % 11.77/11.98 apply (zenon_L381_); trivial. % 11.77/11.98 apply (zenon_L498_); trivial. % 11.77/11.98 (* end of lemma zenon_L564_ *) % 11.77/11.98 assert (zenon_L565_ : (((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)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.77/11.98 do 0 intro. intros zenon_H1fb zenon_H115 zenon_H13b zenon_H212 zenon_H5e zenon_H49 zenon_H239 zenon_H159 zenon_H17a zenon_H3c zenon_H85 zenon_H1a4 zenon_H266 zenon_Hf9. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fc ]. % 11.77/11.98 apply (zenon_L443_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1fd ]. % 11.77/11.98 apply (zenon_L236_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ]. % 11.77/11.98 apply (zenon_L410_); trivial. % 11.77/11.98 apply (zenon_L561_); trivial. % 11.77/11.98 (* end of lemma zenon_L565_ *) % 11.77/11.98 assert (zenon_L566_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False). % 11.77/11.98 do 0 intro. intros zenon_H1ca zenon_Hf9 zenon_H266 zenon_H1a4 zenon_H17a zenon_H159 zenon_H239 zenon_H115 zenon_H1fb zenon_H5f zenon_H49 zenon_H257 zenon_H85 zenon_H233 zenon_H164 zenon_Hd4 zenon_H3c zenon_H2e zenon_H212 zenon_H78 zenon_H13b. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.77/11.98 apply (zenon_L565_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.77/11.98 apply (zenon_L224_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.77/11.98 apply (zenon_L392_); trivial. % 11.77/11.98 apply (zenon_L541_); trivial. % 11.77/11.98 (* end of lemma zenon_L566_ *) % 11.77/11.98 assert (zenon_L567_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.77/11.98 do 0 intro. intros zenon_H1d1 zenon_Hb4 zenon_H266 zenon_H1a4 zenon_H85 zenon_H3c zenon_H17a zenon_H159 zenon_H239 zenon_H49 zenon_H5e zenon_H212 zenon_H115 zenon_H1fb zenon_He7 zenon_H228 zenon_Hf9. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d4 ]. % 11.77/11.98 apply (zenon_L122_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13b | zenon_intro zenon_H1d5 ]. % 11.77/11.98 apply (zenon_L565_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ]. % 11.77/11.98 exact (zenon_He7 zenon_He0). % 11.77/11.98 apply (zenon_L306_); trivial. % 11.77/11.98 (* end of lemma zenon_L567_ *) % 11.77/11.98 assert (zenon_L568_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e0)) -> False). % 11.77/11.98 do 0 intro. intros zenon_H1ca zenon_Hf9 zenon_H228 zenon_He7 zenon_H1fb zenon_H115 zenon_H212 zenon_H239 zenon_H159 zenon_H17a zenon_H3c zenon_H1a4 zenon_H266 zenon_Hb4 zenon_H1d1 zenon_H5f zenon_H49 zenon_H257 zenon_H85 zenon_H59 zenon_H13f. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.77/11.98 apply (zenon_L567_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.77/11.98 apply (zenon_L224_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.77/11.98 apply (zenon_L392_); trivial. % 11.77/11.98 apply (zenon_L158_); trivial. % 11.77/11.98 (* end of lemma zenon_L568_ *) % 11.77/11.98 assert (zenon_L569_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.77/11.98 do 0 intro. intros zenon_Hca zenon_H166 zenon_H1f zenon_H236 zenon_H197 zenon_H132 zenon_H43 zenon_H12e zenon_H176 zenon_H222 zenon_Hcd zenon_H7e zenon_Hfb zenon_Hf9 zenon_H167 zenon_H1be zenon_H2e zenon_Hd4 zenon_H233 zenon_H1ca zenon_H228 zenon_He7 zenon_H1fb zenon_H115 zenon_H212 zenon_H239 zenon_H159 zenon_H17a zenon_H1a4 zenon_H266 zenon_Hb4 zenon_H1d1 zenon_H5f zenon_H257 zenon_H85 zenon_H59 zenon_H9c zenon_H2a zenon_H8d zenon_H168 zenon_H78 zenon_H49 zenon_H33 zenon_H28. % 11.77/11.98 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/11.98 apply (zenon_L47_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/11.98 apply (zenon_L57_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.98 apply (zenon_L127_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.98 apply (zenon_L326_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.98 apply (zenon_L59_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.77/11.98 apply (zenon_L96_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.77/11.98 exact (zenon_H9c zenon_H9b). % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.77/11.98 apply (zenon_L296_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.77/11.98 apply (zenon_L443_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.77/11.98 apply (zenon_L110_); trivial. % 11.77/11.98 apply (zenon_L394_); trivial. % 11.77/11.98 apply (zenon_L72_); trivial. % 11.77/11.98 apply (zenon_L416_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.77/11.98 apply (zenon_L96_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.77/11.98 exact (zenon_H9c zenon_H9b). % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.77/11.98 apply (zenon_L187_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.77/11.98 apply (zenon_L390_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.77/11.98 apply (zenon_L566_); trivial. % 11.77/11.98 apply (zenon_L568_); trivial. % 11.77/11.98 apply (zenon_L72_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.77/11.98 apply (zenon_L221_); trivial. % 11.77/11.98 apply (zenon_L335_); trivial. % 11.77/11.98 (* end of lemma zenon_L569_ *) % 11.77/11.98 assert (zenon_L570_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.77/11.98 do 0 intro. intros zenon_H167 zenon_H1be zenon_H33 zenon_H28 zenon_H5b zenon_H163 zenon_H1ca zenon_Hf9 zenon_H228 zenon_He7 zenon_H1fb zenon_H115 zenon_H212 zenon_H239 zenon_H159 zenon_H17a zenon_H3c zenon_H1a4 zenon_H266 zenon_Hb4 zenon_H1d1 zenon_H5f zenon_H49 zenon_H257 zenon_H85 zenon_H59. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.77/11.98 apply (zenon_L187_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.77/11.98 apply (zenon_L390_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.77/11.98 apply (zenon_L109_); trivial. % 11.77/11.98 apply (zenon_L568_); trivial. % 11.77/11.98 (* end of lemma zenon_L570_ *) % 11.77/11.98 assert (zenon_L571_ : (((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 (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.77/11.98 do 0 intro. intros zenon_H1fb zenon_H67 zenon_H121 zenon_H17a zenon_H3c zenon_H85 zenon_H1a4 zenon_H266 zenon_Hf9. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fc ]. % 11.77/11.98 apply (zenon_L273_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1fd ]. % 11.77/11.98 apply (zenon_L236_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ]. % 11.77/11.98 apply (zenon_L410_); trivial. % 11.77/11.98 apply (zenon_L561_); trivial. % 11.77/11.98 (* end of lemma zenon_L571_ *) % 11.77/11.98 assert (zenon_L572_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.77/11.98 do 0 intro. intros zenon_Hca zenon_H59 zenon_H1d1 zenon_Hb4 zenon_H115 zenon_H212 zenon_H155 zenon_H159 zenon_He7 zenon_H1ba zenon_H228 zenon_Hcd zenon_H5f zenon_H7e zenon_Hf9 zenon_H266 zenon_H1a4 zenon_H85 zenon_H17a zenon_H121 zenon_H67 zenon_H1fb zenon_H78 zenon_H49 zenon_H33 zenon_H28. % 11.77/11.98 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/11.98 apply (zenon_L47_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/11.98 apply (zenon_L57_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d4 ]. % 11.77/11.98 apply (zenon_L122_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13b | zenon_intro zenon_H1d5 ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13f | zenon_intro zenon_H161 ]. % 11.77/11.98 apply (zenon_L468_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H146 | zenon_intro zenon_H162 ]. % 11.77/11.98 apply (zenon_L152_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H114 | zenon_intro zenon_Hdf ]. % 11.77/11.98 apply (zenon_L429_); trivial. % 11.77/11.98 apply (zenon_L442_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ]. % 11.77/11.98 exact (zenon_He7 zenon_He0). % 11.77/11.98 apply (zenon_L379_); trivial. % 11.77/11.98 apply (zenon_L416_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.77/11.98 apply (zenon_L571_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.77/11.98 apply (zenon_L221_); trivial. % 11.77/11.98 apply (zenon_L335_); trivial. % 11.77/11.98 (* end of lemma zenon_L572_ *) % 11.77/11.98 assert (zenon_L573_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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) (e1)) = (op (e3) (e1)))) -> (~((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)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.77/11.98 do 0 intro. intros zenon_H1e8 zenon_H215 zenon_H168 zenon_H8d zenon_H9c zenon_H233 zenon_Hd4 zenon_H2e zenon_Hfb zenon_H222 zenon_H176 zenon_H12e zenon_H43 zenon_H132 zenon_H197 zenon_H236 zenon_H1f zenon_H166 zenon_H167 zenon_H1be zenon_H163 zenon_H1ca zenon_H239 zenon_H257 zenon_Hb1 zenon_Hca zenon_H59 zenon_H1d1 zenon_Hb4 zenon_H115 zenon_H212 zenon_H155 zenon_H159 zenon_He7 zenon_H1ba zenon_H228 zenon_Hcd zenon_H5f zenon_H7e zenon_Hf9 zenon_H266 zenon_H1a4 zenon_H85 zenon_H17a zenon_H121 zenon_H1fb zenon_H78 zenon_H49 zenon_H33 zenon_H28. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.77/11.98 apply (zenon_L291_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.77/11.98 apply (zenon_L569_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/11.98 apply (zenon_L47_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/11.98 apply (zenon_L57_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/11.98 apply (zenon_L563_); trivial. % 11.77/11.98 apply (zenon_L416_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.77/11.98 apply (zenon_L570_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.77/11.98 apply (zenon_L221_); trivial. % 11.77/11.98 apply (zenon_L335_); trivial. % 11.77/11.98 apply (zenon_L572_); trivial. % 11.77/11.98 (* end of lemma zenon_L573_ *) % 11.77/11.98 assert (zenon_L574_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e1) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.77/11.98 do 0 intro. intros zenon_H168 zenon_H12e zenon_H217 zenon_H99 zenon_H8d zenon_Hb5 zenon_H176 zenon_H2a zenon_H222 zenon_H51 zenon_Hb1. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.77/11.98 apply (zenon_L96_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.77/11.98 apply (zenon_L232_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.77/11.98 apply (zenon_L296_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.77/11.98 apply (zenon_L226_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.77/11.98 apply (zenon_L101_); trivial. % 11.77/11.98 exact (zenon_H217 zenon_Hac). % 11.77/11.98 apply (zenon_L172_); trivial. % 11.77/11.98 (* end of lemma zenon_L574_ *) % 11.77/11.98 assert (zenon_L575_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e3)) = (e0))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.77/11.98 do 0 intro. intros zenon_H95 zenon_H222 zenon_H176 zenon_H217 zenon_Hb1 zenon_H167 zenon_H1e zenon_H1bd zenon_H59 zenon_H18c zenon_H132 zenon_H237 zenon_H3c zenon_H130 zenon_Hb5 zenon_H12e zenon_H2a zenon_H8d zenon_H168 zenon_H51 zenon_H5f. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.77/11.98 apply (zenon_L128_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.77/11.98 apply (zenon_L574_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.77/11.98 apply (zenon_L96_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.77/11.98 apply (zenon_L232_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.77/11.98 apply (zenon_L183_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.77/11.98 apply (zenon_L391_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.77/11.98 exact (zenon_H18c zenon_H164). % 11.77/11.98 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H12c | zenon_intro zenon_H133 ]. % 11.77/11.98 exact (zenon_H237 zenon_H12c). % 11.77/11.98 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H44 | zenon_intro zenon_H134 ]. % 11.77/11.98 apply (zenon_L214_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H99 | zenon_intro zenon_H9b ]. % 11.77/11.98 apply (zenon_L101_); trivial. % 11.77/11.98 apply (zenon_L232_); trivial. % 11.77/11.98 apply (zenon_L172_); trivial. % 11.77/11.98 apply (zenon_L260_); trivial. % 11.77/11.98 (* end of lemma zenon_L575_ *) % 11.77/11.98 assert (zenon_L576_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False). % 11.77/11.98 do 0 intro. intros zenon_H132 zenon_H237 zenon_H51 zenon_H1fe zenon_H6f zenon_H43 zenon_Hb5 zenon_H12e. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H12c | zenon_intro zenon_H133 ]. % 11.77/11.98 exact (zenon_H237 zenon_H12c). % 11.77/11.98 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H44 | zenon_intro zenon_H134 ]. % 11.77/11.98 apply (zenon_L259_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H99 | zenon_intro zenon_H9b ]. % 11.77/11.98 apply (zenon_L327_); trivial. % 11.77/11.98 apply (zenon_L232_); trivial. % 11.77/11.98 (* end of lemma zenon_L576_ *) % 11.77/11.98 assert (zenon_L577_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.77/11.98 do 0 intro. intros zenon_H222 zenon_Hda zenon_H1e zenon_Hb5 zenon_H8d zenon_H99 zenon_H13b zenon_H217. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.77/11.98 apply (zenon_L358_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.77/11.98 apply (zenon_L226_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.77/11.98 apply (zenon_L101_); trivial. % 11.77/11.98 exact (zenon_H217 zenon_Hac). % 11.77/11.98 (* end of lemma zenon_L577_ *) % 11.77/11.98 assert (zenon_L578_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.77/11.98 do 0 intro. intros zenon_H166 zenon_H2e zenon_H5f zenon_H51 zenon_H59 zenon_H14c zenon_H158 zenon_H65 zenon_H239 zenon_Hb4 zenon_H222 zenon_Hda zenon_H8d zenon_H5d zenon_H1d1 zenon_H204 zenon_H1e zenon_H215 zenon_H1dc zenon_H217 zenon_H132 zenon_H237 zenon_H1fe zenon_H43 zenon_H12e zenon_H95 zenon_Hb1 zenon_Hb5. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.98 apply (zenon_L58_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.98 apply (zenon_L259_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.77/11.98 apply (zenon_L576_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H5a | zenon_intro zenon_H15d ]. % 11.77/11.98 apply (zenon_L23_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H85 | zenon_intro zenon_H15e ]. % 11.77/11.98 apply (zenon_L59_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d4 ]. % 11.77/11.98 apply (zenon_L76_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13b | zenon_intro zenon_H1d5 ]. % 11.77/11.98 apply (zenon_L577_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ]. % 11.77/11.98 apply (zenon_L471_); trivial. % 11.77/11.98 apply (zenon_L339_); trivial. % 11.77/11.98 apply (zenon_L293_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.77/11.98 apply (zenon_L391_); trivial. % 11.77/11.98 apply (zenon_L260_); trivial. % 11.77/11.98 apply (zenon_L65_); trivial. % 11.77/11.98 (* end of lemma zenon_L578_ *) % 11.77/11.98 assert (zenon_L579_ : (((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) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> False). % 11.77/11.98 do 0 intro. intros zenon_H15a zenon_H81 zenon_Hda zenon_Hb5 zenon_Hb4 zenon_H5f zenon_H14c zenon_H146. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.77/11.98 apply (zenon_L97_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.77/11.98 apply (zenon_L44_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.77/11.98 apply (zenon_L140_); trivial. % 11.77/11.98 apply (zenon_L104_); trivial. % 11.77/11.98 (* end of lemma zenon_L579_ *) % 11.77/11.98 assert (zenon_L580_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((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 (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.77/11.98 do 0 intro. intros zenon_H262 zenon_H168 zenon_H130 zenon_H3c zenon_H18c zenon_H1bd zenon_H167 zenon_H176 zenon_H5f zenon_Hb4 zenon_Hb5 zenon_Hda zenon_H81 zenon_H15a zenon_H163 zenon_H65 zenon_H1dc zenon_H166 zenon_H2e zenon_H59 zenon_H158 zenon_H239 zenon_H222 zenon_H8d zenon_H1d1 zenon_H204 zenon_H1e zenon_H215 zenon_H217 zenon_H132 zenon_H237 zenon_H1fe zenon_H43 zenon_H12e zenon_H95 zenon_Hb1 zenon_H1cd zenon_H28 zenon_H51. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.77/11.98 apply (zenon_L575_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.77/11.98 exact (zenon_H237 zenon_H12c). % 11.77/11.98 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.77/11.98 apply (zenon_L578_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.77/11.98 apply (zenon_L219_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.77/11.98 apply (zenon_L299_); trivial. % 11.77/11.98 apply (zenon_L579_); trivial. % 11.77/11.98 apply (zenon_L196_); trivial. % 11.77/11.98 (* end of lemma zenon_L580_ *) % 11.77/11.98 assert (zenon_L581_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.77/11.98 do 0 intro. intros zenon_H95 zenon_H59 zenon_Hb1 zenon_H222 zenon_H2a zenon_H176 zenon_Hb5 zenon_H8d zenon_H217 zenon_H12e zenon_H168 zenon_H5e zenon_H78 zenon_H51 zenon_H5f. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.77/11.98 apply (zenon_L128_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.77/11.98 apply (zenon_L574_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.77/11.98 apply (zenon_L28_); trivial. % 11.77/11.98 apply (zenon_L260_); trivial. % 11.77/11.98 (* end of lemma zenon_L581_ *) % 11.77/11.98 assert (zenon_L582_ : (((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)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.77/11.98 do 0 intro. intros zenon_H6a zenon_H1f zenon_H3c zenon_H52 zenon_H51 zenon_H5a zenon_H5f zenon_H67 zenon_H28. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.77/11.98 apply (zenon_L127_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.77/11.98 apply (zenon_L17_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.77/11.98 apply (zenon_L23_); trivial. % 11.77/11.98 apply (zenon_L24_); trivial. % 11.77/11.98 (* end of lemma zenon_L582_ *) % 11.77/11.98 assert (zenon_L583_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.77/11.98 do 0 intro. intros zenon_H222 zenon_H28 zenon_H5f zenon_H5a zenon_H51 zenon_H52 zenon_H3c zenon_H1f zenon_H6a zenon_Hb5 zenon_H8d zenon_H14c zenon_H115 zenon_H217. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.77/11.98 apply (zenon_L582_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.77/11.98 apply (zenon_L226_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.77/11.98 apply (zenon_L397_); trivial. % 11.77/11.98 exact (zenon_H217 zenon_Hac). % 11.77/11.98 (* end of lemma zenon_L583_ *) % 11.77/11.98 assert (zenon_L584_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (((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)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.77/11.98 do 0 intro. intros zenon_H262 zenon_H78 zenon_H5e zenon_H168 zenon_H12e zenon_H176 zenon_Hb1 zenon_H59 zenon_H95 zenon_H237 zenon_H217 zenon_H115 zenon_H8d zenon_Hb5 zenon_H6a zenon_H1f zenon_H3c zenon_H52 zenon_H5a zenon_H5f zenon_H222 zenon_H28 zenon_H51. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.77/11.98 apply (zenon_L581_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.77/11.98 exact (zenon_H237 zenon_H12c). % 11.77/11.98 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.77/11.98 apply (zenon_L583_); trivial. % 11.77/11.98 apply (zenon_L196_); trivial. % 11.77/11.98 (* end of lemma zenon_L584_ *) % 11.77/11.98 assert (zenon_L585_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e1) (e2)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> False). % 11.77/11.98 do 0 intro. intros zenon_H167 zenon_H59 zenon_H5e zenon_H2a zenon_H4a zenon_H18c zenon_H13b zenon_H99. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.77/11.98 apply (zenon_L48_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.77/11.98 apply (zenon_L131_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.77/11.98 exact (zenon_H18c zenon_H164). % 11.77/11.98 apply (zenon_L101_); trivial. % 11.77/11.98 (* end of lemma zenon_L585_ *) % 11.77/11.98 assert (zenon_L586_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.77/11.98 do 0 intro. intros zenon_H95 zenon_Hb1 zenon_H167 zenon_H59 zenon_H2a zenon_H4a zenon_H18c zenon_Hb5 zenon_H12e zenon_H8d zenon_H168 zenon_H5e zenon_H78 zenon_H51 zenon_H5f. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.77/11.98 apply (zenon_L128_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.77/11.98 apply (zenon_L96_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.77/11.98 apply (zenon_L232_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.77/11.98 apply (zenon_L585_); trivial. % 11.77/11.98 apply (zenon_L172_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.77/11.98 apply (zenon_L28_); trivial. % 11.77/11.98 apply (zenon_L260_); trivial. % 11.77/11.98 (* end of lemma zenon_L586_ *) % 11.77/11.98 assert (zenon_L587_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.77/11.98 do 0 intro. intros zenon_H222 zenon_H59 zenon_H87 zenon_Hb5 zenon_H8d zenon_H14c zenon_H115 zenon_H217. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.77/11.98 apply (zenon_L33_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.77/11.98 apply (zenon_L226_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.77/11.98 apply (zenon_L397_); trivial. % 11.77/11.98 exact (zenon_H217 zenon_Hac). % 11.77/11.98 (* end of lemma zenon_L587_ *) % 11.77/11.98 assert (zenon_L588_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.77/11.98 do 0 intro. intros zenon_H89 zenon_H1bd zenon_H43 zenon_H1fe zenon_H132 zenon_H52 zenon_H3c zenon_H1f zenon_H6a zenon_H176 zenon_H262 zenon_H5f zenon_H78 zenon_H5e zenon_H168 zenon_H12e zenon_H18c zenon_H4a zenon_H167 zenon_Hb1 zenon_H95 zenon_H237 zenon_H217 zenon_H115 zenon_H8d zenon_Hb5 zenon_H59 zenon_H222 zenon_H28 zenon_H51. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.77/11.98 apply (zenon_L310_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.77/11.98 apply (zenon_L576_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.77/11.98 apply (zenon_L584_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.77/11.98 apply (zenon_L586_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.77/11.98 exact (zenon_H237 zenon_H12c). % 11.77/11.98 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.77/11.98 apply (zenon_L587_); trivial. % 11.77/11.98 apply (zenon_L196_); trivial. % 11.77/11.98 (* end of lemma zenon_L588_ *) % 11.77/11.98 assert (zenon_L589_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.77/11.98 do 0 intro. intros zenon_H89 zenon_H1bd zenon_H43 zenon_H1fe zenon_H132 zenon_H51 zenon_H28 zenon_H222 zenon_H52 zenon_H3c zenon_H1f zenon_H6a zenon_Hb5 zenon_H8d zenon_H115 zenon_H217 zenon_H237 zenon_H95 zenon_H59 zenon_Hb1 zenon_H176 zenon_H12e zenon_H168 zenon_H5e zenon_H78 zenon_H262 zenon_H68 zenon_H5f. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.77/11.98 apply (zenon_L310_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.77/11.98 apply (zenon_L576_); trivial. % 11.77/11.98 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.77/11.98 apply (zenon_L584_); trivial. % 11.77/11.98 apply (zenon_L504_); trivial. % 11.77/11.98 (* end of lemma zenon_L589_ *) % 11.77/11.98 assert (zenon_L590_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.77/11.99 do 0 intro. intros zenon_H15a zenon_H5f zenon_H68 zenon_Hb5 zenon_Hb4 zenon_H115 zenon_H79 zenon_H197 zenon_H7c. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.77/11.99 apply (zenon_L504_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.77/11.99 apply (zenon_L44_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.77/11.99 apply (zenon_L83_); trivial. % 11.77/11.99 apply (zenon_L192_); trivial. % 11.77/11.99 (* end of lemma zenon_L590_ *) % 11.77/11.99 assert (zenon_L591_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H95 zenon_H43 zenon_H1fe zenon_H237 zenon_H132 zenon_Hb1 zenon_H222 zenon_H2a zenon_H176 zenon_H8d zenon_H217 zenon_H12e zenon_H168 zenon_H7c zenon_H197 zenon_H115 zenon_Hb4 zenon_Hb5 zenon_H68 zenon_H15a zenon_H51 zenon_H5f. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.77/11.99 apply (zenon_L576_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.77/11.99 apply (zenon_L574_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.77/11.99 apply (zenon_L590_); trivial. % 11.77/11.99 apply (zenon_L260_); trivial. % 11.77/11.99 (* end of lemma zenon_L591_ *) % 11.77/11.99 assert (zenon_L592_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H222 zenon_H28 zenon_H68 zenon_Hb5 zenon_H8d zenon_H14c zenon_H115 zenon_H217. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.77/11.99 apply (zenon_L24_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.77/11.99 apply (zenon_L226_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.77/11.99 apply (zenon_L397_); trivial. % 11.77/11.99 exact (zenon_H217 zenon_Hac). % 11.77/11.99 (* end of lemma zenon_L592_ *) % 11.77/11.99 assert (zenon_L593_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.77/11.99 do 0 intro. intros zenon_H262 zenon_H5f zenon_H15a zenon_Hb4 zenon_H197 zenon_H7c zenon_H168 zenon_H12e zenon_H176 zenon_Hb1 zenon_H132 zenon_H1fe zenon_H43 zenon_H95 zenon_H237 zenon_H217 zenon_H115 zenon_H8d zenon_Hb5 zenon_H68 zenon_H222 zenon_H28 zenon_H51. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.77/11.99 apply (zenon_L591_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.77/11.99 exact (zenon_H237 zenon_H12c). % 11.77/11.99 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.77/11.99 apply (zenon_L592_); trivial. % 11.77/11.99 apply (zenon_L196_); trivial. % 11.77/11.99 (* end of lemma zenon_L593_ *) % 11.77/11.99 assert (zenon_L594_ : ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((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)) = (op (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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.77/11.99 do 0 intro. intros zenon_H1e zenon_H7e zenon_Hc7 zenon_H5a zenon_H78 zenon_H59 zenon_H6a zenon_H1f zenon_H3c zenon_H52 zenon_H1bd zenon_H89 zenon_H262 zenon_H5f zenon_H15a zenon_Hb4 zenon_H197 zenon_H168 zenon_H12e zenon_H176 zenon_Hb1 zenon_H132 zenon_H1fe zenon_H43 zenon_H95 zenon_H237 zenon_H217 zenon_H115 zenon_H8d zenon_Hb5 zenon_H222 zenon_H28 zenon_H51. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.77/11.99 apply (zenon_L493_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.77/11.99 apply (zenon_L17_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.77/11.99 apply (zenon_L23_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/11.99 apply (zenon_L54_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/11.99 apply (zenon_L189_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/11.99 apply (zenon_L589_); trivial. % 11.77/11.99 apply (zenon_L593_); trivial. % 11.77/11.99 (* end of lemma zenon_L594_ *) % 11.77/11.99 assert (zenon_L595_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.77/11.99 do 0 intro. intros zenon_H22f zenon_Hb4 zenon_H7c zenon_Hb1 zenon_H51 zenon_Ha2 zenon_H8d zenon_H266 zenon_Hb5. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H230 ]. % 11.77/11.99 apply (zenon_L51_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hfa | zenon_intro zenon_H231 ]. % 11.77/11.99 apply (zenon_L172_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H106 | zenon_intro zenon_Hf9 ]. % 11.77/11.99 apply (zenon_L208_); trivial. % 11.77/11.99 apply (zenon_L561_); trivial. % 11.77/11.99 (* end of lemma zenon_L595_ *) % 11.77/11.99 assert (zenon_L596_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((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 (e2) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> False). % 11.77/11.99 do 0 intro. intros zenon_H204 zenon_H59 zenon_H28 zenon_Hb5 zenon_H266 zenon_H8d zenon_H51 zenon_Hb1 zenon_H7c zenon_Hb4 zenon_H22f zenon_H65 zenon_H87. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H33 | zenon_intro zenon_H205 ]. % 11.77/11.99 apply (zenon_L416_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H92 | zenon_intro zenon_H206 ]. % 11.77/11.99 apply (zenon_L196_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hac ]. % 11.77/11.99 apply (zenon_L595_); trivial. % 11.77/11.99 apply (zenon_L363_); trivial. % 11.77/11.99 (* end of lemma zenon_L596_ *) % 11.77/11.99 assert (zenon_L597_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.77/11.99 do 0 intro. intros zenon_H262 zenon_H5f zenon_H168 zenon_H12e zenon_H130 zenon_H3c zenon_H132 zenon_H18c zenon_H59 zenon_H1bd zenon_H1e zenon_H167 zenon_Hb1 zenon_H176 zenon_H95 zenon_H237 zenon_H217 zenon_H115 zenon_H8d zenon_Hb5 zenon_H68 zenon_H222 zenon_H28 zenon_H51. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.77/11.99 apply (zenon_L575_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.77/11.99 exact (zenon_H237 zenon_H12c). % 11.77/11.99 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.77/11.99 apply (zenon_L592_); trivial. % 11.77/11.99 apply (zenon_L196_); trivial. % 11.77/11.99 (* end of lemma zenon_L597_ *) % 11.77/11.99 assert (zenon_L598_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H168 zenon_H8d zenon_H12e zenon_Hb5 zenon_H99 zenon_H18c zenon_H4a zenon_H2a zenon_H5d zenon_H28 zenon_H167 zenon_H51 zenon_Hb1. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.77/11.99 apply (zenon_L96_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.77/11.99 apply (zenon_L232_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.77/11.99 apply (zenon_L53_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.77/11.99 apply (zenon_L131_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.77/11.99 exact (zenon_H18c zenon_H164). % 11.77/11.99 apply (zenon_L101_); trivial. % 11.77/11.99 apply (zenon_L172_); trivial. % 11.77/11.99 (* end of lemma zenon_L598_ *) % 11.77/11.99 assert (zenon_L599_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.77/11.99 do 0 intro. intros zenon_H166 zenon_H2e zenon_H1fe zenon_Hb4 zenon_H5f zenon_H168 zenon_H8d zenon_H12e zenon_H18c zenon_H4a zenon_H2a zenon_H5d zenon_H28 zenon_H167 zenon_H51 zenon_H132 zenon_H237 zenon_H17f zenon_H130 zenon_Hb9 zenon_Hb1 zenon_Hb5. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.99 apply (zenon_L58_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.99 apply (zenon_L259_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.77/11.99 apply (zenon_L491_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.77/11.99 apply (zenon_L598_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.77/11.99 apply (zenon_L59_); trivial. % 11.77/11.99 apply (zenon_L44_); trivial. % 11.77/11.99 apply (zenon_L65_); trivial. % 11.77/11.99 (* end of lemma zenon_L599_ *) % 11.77/11.99 assert (zenon_L600_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.77/11.99 do 0 intro. intros zenon_H262 zenon_Hb9 zenon_H130 zenon_H17f zenon_H167 zenon_H4a zenon_H18c zenon_H168 zenon_Hb5 zenon_Hb1 zenon_H95 zenon_H12e zenon_H43 zenon_H1fe zenon_H237 zenon_H132 zenon_H217 zenon_H1dc zenon_H215 zenon_H1e zenon_H204 zenon_H1d1 zenon_H5d zenon_H8d zenon_Hda zenon_H222 zenon_Hb4 zenon_H239 zenon_H65 zenon_H158 zenon_H59 zenon_H5f zenon_H2e zenon_H166 zenon_H28 zenon_H51. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.77/11.99 apply (zenon_L599_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.77/11.99 exact (zenon_H237 zenon_H12c). % 11.77/11.99 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.77/11.99 apply (zenon_L578_); trivial. % 11.77/11.99 apply (zenon_L196_); trivial. % 11.77/11.99 (* end of lemma zenon_L600_ *) % 11.77/11.99 assert (zenon_L601_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.77/11.99 do 0 intro. intros zenon_H166 zenon_H5d zenon_H2e zenon_H51 zenon_H1fe zenon_H12e zenon_H130 zenon_H75 zenon_H17f zenon_H237 zenon_H132 zenon_Hb1 zenon_Hb5. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.99 apply (zenon_L58_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.99 apply (zenon_L259_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.99 apply (zenon_L491_); trivial. % 11.77/11.99 apply (zenon_L65_); trivial. % 11.77/11.99 (* end of lemma zenon_L601_ *) % 11.77/11.99 assert (zenon_L602_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.77/11.99 do 0 intro. intros zenon_H166 zenon_H1f zenon_H6d zenon_H51 zenon_H1fe zenon_H85 zenon_H5f zenon_Hb1 zenon_Hb5. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.99 apply (zenon_L127_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.99 apply (zenon_L259_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.99 apply (zenon_L59_); trivial. % 11.77/11.99 apply (zenon_L65_); trivial. % 11.77/11.99 (* end of lemma zenon_L602_ *) % 11.77/11.99 assert (zenon_L603_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (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)))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H21c zenon_H121 zenon_Hb9 zenon_Hb4 zenon_H1f zenon_H1fe zenon_H5f zenon_H166 zenon_H8d zenon_H2a zenon_H12e zenon_Hb5 zenon_H222 zenon_H176 zenon_Hb1 zenon_H51 zenon_H168 zenon_H1d zenon_H59 zenon_H28 zenon_H132 zenon_H130 zenon_H17f zenon_H237 zenon_H4a zenon_H18c zenon_H167 zenon_H2e zenon_Hf7 zenon_Hca. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H217 | zenon_intro zenon_Hd9 ]. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.77/11.99 apply (zenon_L27_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.77/11.99 apply (zenon_L574_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.77/11.99 apply (zenon_L602_); trivial. % 11.77/11.99 apply (zenon_L44_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.77/11.99 apply (zenon_L11_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.77/11.99 apply (zenon_L599_); trivial. % 11.77/11.99 apply (zenon_L237_); trivial. % 11.77/11.99 apply (zenon_L87_); trivial. % 11.77/11.99 (* end of lemma zenon_L603_ *) % 11.77/11.99 assert (zenon_L604_ : (((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 (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H21f zenon_H13f zenon_H155 zenon_H6d zenon_Hda zenon_H5a zenon_H170 zenon_Hb5 zenon_H121. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H67 | zenon_intro zenon_H220 ]. % 11.77/11.99 apply (zenon_L468_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H68 | zenon_intro zenon_H221 ]. % 11.77/11.99 apply (zenon_L324_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd9 ]. % 11.77/11.99 apply (zenon_L129_); trivial. % 11.77/11.99 apply (zenon_L87_); trivial. % 11.77/11.99 (* end of lemma zenon_L604_ *) % 11.77/11.99 assert (zenon_L605_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H222 zenon_H2a zenon_H176 zenon_H8d zenon_H121 zenon_Hb5 zenon_H170 zenon_H5a zenon_Hda zenon_H6d zenon_H155 zenon_H21f zenon_H217. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.77/11.99 apply (zenon_L296_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.77/11.99 apply (zenon_L226_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.77/11.99 apply (zenon_L604_); trivial. % 11.77/11.99 exact (zenon_H217 zenon_Hac). % 11.77/11.99 (* end of lemma zenon_L605_ *) % 11.77/11.99 assert (zenon_L606_ : (((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H31 zenon_H52 zenon_H1e5 zenon_Hb5 zenon_H8d zenon_H84 zenon_H34 zenon_H28 zenon_H51 zenon_H1b1 zenon_H204 zenon_H121. % 11.77/11.99 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H2f. zenon_intro zenon_H32. % 11.77/11.99 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H5b. zenon_intro zenon_H26. % 11.77/11.99 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H219. zenon_intro zenon_H218. % 11.77/11.99 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21b. zenon_intro zenon_H21a. % 11.77/11.99 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21d. zenon_intro zenon_H21c. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H237 | zenon_intro zenon_H29 ]. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H217 | zenon_intro zenon_Hd9 ]. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H33 | zenon_intro zenon_H205 ]. % 11.77/11.99 apply (zenon_L8_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H92 | zenon_intro zenon_H206 ]. % 11.77/11.99 apply (zenon_L196_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hac ]. % 11.77/11.99 apply (zenon_L506_); trivial. % 11.77/11.99 exact (zenon_H217 zenon_Hac). % 11.77/11.99 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.77/11.99 exact (zenon_H237 zenon_H12c). % 11.77/11.99 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.77/11.99 apply (zenon_L317_); trivial. % 11.77/11.99 apply (zenon_L226_); trivial. % 11.77/11.99 apply (zenon_L87_); trivial. % 11.77/11.99 apply (zenon_L17_); trivial. % 11.77/11.99 (* end of lemma zenon_L606_ *) % 11.77/11.99 assert (zenon_L607_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.77/11.99 do 0 intro. intros zenon_H166 zenon_H51 zenon_H1fe zenon_H17a zenon_H132 zenon_H237 zenon_H17f zenon_H130 zenon_H12e zenon_H2e zenon_H5d zenon_H33 zenon_H34 zenon_H267 zenon_Hb1 zenon_Hb5. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.99 apply (zenon_L58_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.99 apply (zenon_L259_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H1d | zenon_intro zenon_H268 ]. % 11.77/11.99 apply (zenon_L8_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H3c | zenon_intro zenon_H269 ]. % 11.77/11.99 apply (zenon_L58_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H75 | zenon_intro zenon_H8c ]. % 11.77/11.99 apply (zenon_L491_); trivial. % 11.77/11.99 apply (zenon_L121_); trivial. % 11.77/11.99 apply (zenon_L65_); trivial. % 11.77/11.99 (* end of lemma zenon_L607_ *) % 11.77/11.99 assert (zenon_L608_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (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) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e0)) -> False). % 11.77/11.99 do 0 intro. intros zenon_H1cd zenon_Hb1 zenon_H267 zenon_H34 zenon_H33 zenon_H2e zenon_H12e zenon_H130 zenon_H17f zenon_H237 zenon_H132 zenon_H17a zenon_H1fe zenon_H166 zenon_H1dc zenon_H51 zenon_H65 zenon_H163 zenon_H15a zenon_H81 zenon_Hda zenon_Hb5 zenon_Hb4 zenon_H5f zenon_H14c. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.77/11.99 apply (zenon_L607_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.77/11.99 apply (zenon_L219_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.77/11.99 apply (zenon_L299_); trivial. % 11.77/11.99 apply (zenon_L579_); trivial. % 11.77/11.99 (* end of lemma zenon_L608_ *) % 11.77/11.99 assert (zenon_L609_ : (((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)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H6a zenon_H1f zenon_H52 zenon_H59 zenon_H33 zenon_H89 zenon_H1bd zenon_H12e zenon_Hb5 zenon_H43 zenon_H1fe zenon_H51 zenon_H237 zenon_H132 zenon_H5f zenon_H3c zenon_H167 zenon_H1be zenon_Hb4 zenon_Hda zenon_H15a zenon_H163 zenon_H1dc zenon_H166 zenon_H17a zenon_H17f zenon_H130 zenon_H2e zenon_H34 zenon_H267 zenon_Hb1 zenon_H1cd zenon_H18c zenon_H155 zenon_H7e zenon_H67 zenon_H28. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.77/11.99 apply (zenon_L127_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.77/11.99 apply (zenon_L17_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.77/11.99 apply (zenon_L187_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.77/11.99 apply (zenon_L608_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.77/11.99 exact (zenon_H18c zenon_H164). % 11.77/11.99 apply (zenon_L468_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/11.99 apply (zenon_L189_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.77/11.99 apply (zenon_L310_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.77/11.99 apply (zenon_L576_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.77/11.99 apply (zenon_L23_); trivial. % 11.77/11.99 apply (zenon_L33_); trivial. % 11.77/11.99 apply (zenon_L416_); trivial. % 11.77/11.99 apply (zenon_L24_); trivial. % 11.77/11.99 (* end of lemma zenon_L609_ *) % 11.77/11.99 assert (zenon_L610_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H267 zenon_H34 zenon_H33 zenon_H1f zenon_H6d zenon_H99 zenon_H130 zenon_Hb5 zenon_H17a. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H1d | zenon_intro zenon_H268 ]. % 11.77/11.99 apply (zenon_L8_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H3c | zenon_intro zenon_H269 ]. % 11.77/11.99 apply (zenon_L127_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H75 | zenon_intro zenon_H8c ]. % 11.77/11.99 apply (zenon_L94_); trivial. % 11.77/11.99 apply (zenon_L121_); trivial. % 11.77/11.99 (* end of lemma zenon_L610_ *) % 11.77/11.99 assert (zenon_L611_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.77/11.99 do 0 intro. intros zenon_Hb9 zenon_H12e zenon_H17f zenon_H237 zenon_H132 zenon_H17a zenon_H130 zenon_H6d zenon_H1f zenon_H33 zenon_H34 zenon_H267 zenon_Haf zenon_H5f zenon_Hb4 zenon_Hb5. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.77/11.99 apply (zenon_L491_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.77/11.99 apply (zenon_L610_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.77/11.99 apply (zenon_L59_); trivial. % 11.77/11.99 apply (zenon_L44_); trivial. % 11.77/11.99 (* end of lemma zenon_L611_ *) % 11.77/11.99 assert (zenon_L612_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.77/11.99 do 0 intro. intros zenon_H166 zenon_H28 zenon_H67 zenon_H5a zenon_H52 zenon_H6a zenon_H51 zenon_H1fe zenon_Hb4 zenon_H5f zenon_H267 zenon_H34 zenon_H33 zenon_H1f zenon_H6d zenon_H130 zenon_H17a zenon_H132 zenon_H237 zenon_H17f zenon_H12e zenon_Hb9 zenon_Hb1 zenon_Hb5. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.99 apply (zenon_L582_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.99 apply (zenon_L259_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.99 apply (zenon_L611_); trivial. % 11.77/11.99 apply (zenon_L65_); trivial. % 11.77/11.99 (* end of lemma zenon_L612_ *) % 11.77/11.99 assert (zenon_L613_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.77/11.99 do 0 intro. intros zenon_Hca zenon_Hb9 zenon_Hb4 zenon_H67 zenon_H5f zenon_H5a zenon_H52 zenon_H1f zenon_H6a zenon_Hb5 zenon_Hb1 zenon_H267 zenon_H34 zenon_H2e zenon_H12e zenon_H130 zenon_H17f zenon_H237 zenon_H132 zenon_H17a zenon_H1fe zenon_H51 zenon_H166 zenon_H33 zenon_H28. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.77/11.99 apply (zenon_L612_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.77/11.99 apply (zenon_L582_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.77/11.99 apply (zenon_L607_); trivial. % 11.77/11.99 apply (zenon_L335_); trivial. % 11.77/11.99 (* end of lemma zenon_L613_ *) % 11.77/11.99 assert (zenon_L614_ : (((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H39 zenon_Hca zenon_Hf7 zenon_H6a zenon_H28 zenon_H167 zenon_H155 zenon_H166 zenon_Hb1 zenon_H34 zenon_H132 zenon_Hb5 zenon_H12e zenon_H130 zenon_H17f zenon_H17a zenon_H267 zenon_H1fe zenon_H2e zenon_H1dc zenon_H163 zenon_H15a zenon_H5f zenon_Hb4 zenon_Hda zenon_H1cd zenon_H1be zenon_H89 zenon_H59 zenon_H43 zenon_H1bd zenon_H7e zenon_H51 zenon_H52 zenon_H1f zenon_Hb9. % 11.77/11.99 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H33. zenon_intro zenon_H3a. % 11.77/11.99 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H67. zenon_intro zenon_H26. % 11.77/11.99 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H219. zenon_intro zenon_H218. % 11.77/11.99 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21b. zenon_intro zenon_H21a. % 11.77/11.99 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21d. zenon_intro zenon_H21c. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H237 | zenon_intro zenon_H29 ]. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H18c | zenon_intro zenon_H5a ]. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.99 apply (zenon_L609_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.99 apply (zenon_L259_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.99 apply (zenon_L611_); trivial. % 11.77/11.99 apply (zenon_L65_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.77/11.99 apply (zenon_L609_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.77/11.99 apply (zenon_L607_); trivial. % 11.77/11.99 apply (zenon_L237_); trivial. % 11.77/11.99 apply (zenon_L613_); trivial. % 11.77/11.99 apply (zenon_L17_); trivial. % 11.77/11.99 (* end of lemma zenon_L614_ *) % 11.77/11.99 assert (zenon_L615_ : (((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.77/11.99 do 0 intro. intros zenon_H47 zenon_H1fe zenon_H51. % 11.77/11.99 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H44. zenon_intro zenon_H48. % 11.77/11.99 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H44. zenon_intro zenon_H42. % 11.77/11.99 apply (zenon_L259_); trivial. % 11.77/11.99 (* end of lemma zenon_L615_ *) % 11.77/11.99 assert (zenon_L616_ : (((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H4f zenon_H51 zenon_H1dc. % 11.77/11.99 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H49. zenon_intro zenon_H50. % 11.77/11.99 apply (zenon_L219_); trivial. % 11.77/11.99 (* end of lemma zenon_L616_ *) % 11.77/11.99 assert (zenon_L617_ : (((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.77/11.99 do 0 intro. intros zenon_H56 zenon_Hb1 zenon_Hb5. % 11.77/11.99 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H51. zenon_intro zenon_H57. % 11.77/11.99 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Hb8. zenon_intro zenon_H42. % 11.77/11.99 apply (zenon_L65_); trivial. % 11.77/11.99 (* end of lemma zenon_L617_ *) % 11.77/11.99 assert (zenon_L618_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H15a zenon_H5f zenon_H68 zenon_Hb5 zenon_Hb4 zenon_H5e zenon_H212 zenon_H145. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.77/11.99 apply (zenon_L504_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.77/11.99 apply (zenon_L44_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.77/11.99 apply (zenon_L429_); trivial. % 11.77/11.99 exact (zenon_H145 zenon_H144). % 11.77/11.99 (* end of lemma zenon_L618_ *) % 11.77/11.99 assert (zenon_L619_ : (((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)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H6a zenon_H1f zenon_H3c zenon_H52 zenon_H51 zenon_H5a zenon_H15a zenon_H5f zenon_Hb5 zenon_Hb4 zenon_H5e zenon_H212 zenon_H145. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.77/11.99 apply (zenon_L127_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.77/11.99 apply (zenon_L17_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.77/11.99 apply (zenon_L23_); trivial. % 11.77/11.99 apply (zenon_L618_); trivial. % 11.77/11.99 (* end of lemma zenon_L619_ *) % 11.77/11.99 assert (zenon_L620_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((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))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.77/11.99 do 0 intro. intros zenon_H166 zenon_H1f zenon_H6d zenon_H51 zenon_H1fe zenon_Hb4 zenon_H5f zenon_H96 zenon_H1d zenon_H59 zenon_Hb9 zenon_Hb1 zenon_Hb5. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.99 apply (zenon_L127_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.99 apply (zenon_L259_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.99 apply (zenon_L463_); trivial. % 11.77/11.99 apply (zenon_L65_); trivial. % 11.77/11.99 (* end of lemma zenon_L620_ *) % 11.77/11.99 assert (zenon_L621_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H15a zenon_Hac zenon_H65 zenon_Hb5 zenon_Hb4 zenon_H146 zenon_H5f zenon_H145. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.77/11.99 apply (zenon_L363_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.77/11.99 apply (zenon_L44_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.77/11.99 apply (zenon_L140_); trivial. % 11.77/11.99 exact (zenon_H145 zenon_H144). % 11.77/11.99 (* end of lemma zenon_L621_ *) % 11.77/11.99 assert (zenon_L622_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e2)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H204 zenon_H59 zenon_H28 zenon_H266 zenon_H8d zenon_H51 zenon_Hb1 zenon_H7c zenon_H22f zenon_H15a zenon_H65 zenon_Hb5 zenon_Hb4 zenon_H146 zenon_H5f zenon_H145. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H33 | zenon_intro zenon_H205 ]. % 11.77/11.99 apply (zenon_L416_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H92 | zenon_intro zenon_H206 ]. % 11.77/11.99 apply (zenon_L196_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hac ]. % 11.77/11.99 apply (zenon_L595_); trivial. % 11.77/11.99 apply (zenon_L621_); trivial. % 11.77/11.99 (* end of lemma zenon_L622_ *) % 11.77/11.99 assert (zenon_L623_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H15a zenon_H5f zenon_H68 zenon_Hb5 zenon_Hb4 zenon_H115 zenon_H79 zenon_H145. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.77/11.99 apply (zenon_L504_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.77/11.99 apply (zenon_L44_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.77/11.99 apply (zenon_L83_); trivial. % 11.77/11.99 exact (zenon_H145 zenon_H144). % 11.77/11.99 (* end of lemma zenon_L623_ *) % 11.77/11.99 assert (zenon_L624_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.77/11.99 do 0 intro. intros zenon_H166 zenon_H5d zenon_H2e zenon_H51 zenon_H1fe zenon_H85 zenon_H5f zenon_Hb1 zenon_Hb5. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/11.99 apply (zenon_L58_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/11.99 apply (zenon_L259_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/11.99 apply (zenon_L59_); trivial. % 11.77/11.99 apply (zenon_L65_); trivial. % 11.77/11.99 (* end of lemma zenon_L624_ *) % 11.77/11.99 assert (zenon_L625_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H15a zenon_H59 zenon_H67 zenon_Hb5 zenon_Hb4 zenon_H146 zenon_H5f zenon_H145. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.77/11.99 apply (zenon_L33_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.77/11.99 apply (zenon_L44_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.77/11.99 apply (zenon_L140_); trivial. % 11.77/11.99 exact (zenon_H145 zenon_H144). % 11.77/11.99 (* end of lemma zenon_L625_ *) % 11.77/11.99 assert (zenon_L626_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H1cd zenon_H3c zenon_H2e zenon_H1dc zenon_H51 zenon_H65 zenon_H163 zenon_H15a zenon_H59 zenon_H67 zenon_Hb5 zenon_Hb4 zenon_H5f zenon_H145. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.77/11.99 apply (zenon_L58_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.77/11.99 apply (zenon_L219_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.77/11.99 apply (zenon_L299_); trivial. % 11.77/11.99 apply (zenon_L625_); trivial. % 11.77/11.99 (* end of lemma zenon_L626_ *) % 11.77/11.99 assert (zenon_L627_ : (((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) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H26a zenon_Hb4 zenon_Hc0 zenon_H5f zenon_H51 zenon_H1aa zenon_H1f0 zenon_H145. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H7c | zenon_intro zenon_H26b ]. % 11.77/11.99 apply (zenon_L51_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H93 | zenon_intro zenon_H26c ]. % 11.77/11.99 apply (zenon_L260_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H117 | zenon_intro zenon_H144 ]. % 11.77/11.99 apply (zenon_L374_); trivial. % 11.77/11.99 exact (zenon_H145 zenon_H144). % 11.77/11.99 (* end of lemma zenon_L627_ *) % 11.77/11.99 assert (zenon_L628_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/11.99 do 0 intro. intros zenon_Hc3 zenon_Hb1 zenon_H6d zenon_H17a zenon_Hb5 zenon_H8d zenon_H2f zenon_H26a zenon_Hb4 zenon_H5f zenon_H51 zenon_H1aa zenon_H1f0 zenon_H145. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.77/11.99 apply (zenon_L49_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.77/11.99 apply (zenon_L121_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.77/11.99 apply (zenon_L50_); trivial. % 11.77/11.99 apply (zenon_L627_); trivial. % 11.77/11.99 (* end of lemma zenon_L628_ *) % 11.77/11.99 assert (zenon_L629_ : (((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)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H6a zenon_H1f zenon_H3c zenon_H52 zenon_H51 zenon_H28 zenon_H5b zenon_H15a zenon_H5f zenon_Hb5 zenon_Hb4 zenon_H115 zenon_H79 zenon_H145. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.77/11.99 apply (zenon_L127_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.77/11.99 apply (zenon_L17_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.77/11.99 apply (zenon_L60_); trivial. % 11.77/11.99 apply (zenon_L623_); trivial. % 11.77/11.99 (* end of lemma zenon_L629_ *) % 11.77/11.99 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)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H6a zenon_H1f zenon_H52 zenon_H145 zenon_H5f zenon_Hb4 zenon_Hb5 zenon_H59 zenon_H15a zenon_H163 zenon_H51 zenon_H1dc zenon_H2e zenon_H3c zenon_H1cd zenon_H67 zenon_H28. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.77/11.99 apply (zenon_L127_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.77/11.99 apply (zenon_L17_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.77/11.99 apply (zenon_L626_); trivial. % 11.77/11.99 apply (zenon_L24_); trivial. % 11.77/11.99 (* end of lemma zenon_L630_ *) % 11.77/11.99 assert (zenon_L631_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((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) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H1e8 zenon_H1bd zenon_H1e5 zenon_H43 zenon_H115 zenon_H79 zenon_H166 zenon_H1fe zenon_H85 zenon_Hca zenon_H1f0 zenon_H1aa zenon_H26a zenon_H8d zenon_H17a zenon_Hb1 zenon_Hc3 zenon_H1cd zenon_H2e zenon_H1dc zenon_H163 zenon_H15a zenon_H59 zenon_Hb5 zenon_Hb4 zenon_H5f zenon_H145 zenon_H52 zenon_H1f zenon_H6a zenon_H28 zenon_H2f zenon_H51 zenon_Hf7. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.77/11.99 apply (zenon_L183_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.77/11.99 apply (zenon_L628_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.77/11.99 apply (zenon_L525_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.77/11.99 apply (zenon_L53_); trivial. % 11.77/11.99 apply (zenon_L237_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.77/11.99 apply (zenon_L602_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.77/11.99 apply (zenon_L629_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.77/11.99 apply (zenon_L53_); trivial. % 11.77/11.99 apply (zenon_L237_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.77/11.99 apply (zenon_L628_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.77/11.99 apply (zenon_L630_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.77/11.99 apply (zenon_L53_); trivial. % 11.77/11.99 apply (zenon_L237_); trivial. % 11.77/11.99 (* end of lemma zenon_L631_ *) % 11.77/11.99 assert (zenon_L632_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H7e zenon_H7f zenon_Hcd zenon_H85 zenon_H5f zenon_H5d zenon_H33 zenon_H59. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/11.99 exact (zenon_H7f zenon_H81). % 11.77/11.99 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/11.99 apply (zenon_L57_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/11.99 apply (zenon_L21_); trivial. % 11.77/11.99 apply (zenon_L416_); trivial. % 11.77/11.99 (* end of lemma zenon_L632_ *) % 11.77/11.99 assert (zenon_L633_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H26a zenon_H59 zenon_H33 zenon_H5f zenon_H51 zenon_Hb4 zenon_H106 zenon_H145. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H7c | zenon_intro zenon_H26b ]. % 11.77/11.99 apply (zenon_L416_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H93 | zenon_intro zenon_H26c ]. % 11.77/11.99 apply (zenon_L260_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H117 | zenon_intro zenon_H144 ]. % 11.77/11.99 apply (zenon_L303_); trivial. % 11.77/11.99 exact (zenon_H145 zenon_H144). % 11.77/11.99 (* end of lemma zenon_L633_ *) % 11.77/11.99 assert (zenon_L634_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H15a zenon_Hac zenon_H65 zenon_Hb5 zenon_Hb4 zenon_H10c zenon_He1 zenon_H145. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.77/11.99 apply (zenon_L363_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.77/11.99 apply (zenon_L44_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.77/11.99 apply (zenon_L98_); trivial. % 11.77/11.99 exact (zenon_H145 zenon_H144). % 11.77/11.99 (* end of lemma zenon_L634_ *) % 11.77/11.99 assert (zenon_L635_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H15a zenon_H5f zenon_H68 zenon_Hb5 zenon_Hb4 zenon_H10c zenon_He1 zenon_H145. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.77/11.99 apply (zenon_L504_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.77/11.99 apply (zenon_L44_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.77/11.99 apply (zenon_L98_); trivial. % 11.77/11.99 exact (zenon_H145 zenon_H144). % 11.77/11.99 (* end of lemma zenon_L635_ *) % 11.77/11.99 assert (zenon_L636_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.77/11.99 do 0 intro. intros zenon_Hb9 zenon_H59 zenon_H1d zenon_H96 zenon_H257 zenon_H10c zenon_Hb4 zenon_Hb5. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.77/11.99 apply (zenon_L27_); trivial. % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.77/11.99 exact (zenon_H96 zenon_H99). % 11.77/11.99 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.77/11.99 apply (zenon_L392_); trivial. % 11.77/11.99 apply (zenon_L44_); trivial. % 11.77/11.99 (* end of lemma zenon_L636_ *) % 11.77/11.99 assert (zenon_L637_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.77/11.99 do 0 intro. intros zenon_H95 zenon_H59 zenon_H2a zenon_H96 zenon_H10d zenon_H10c zenon_H51 zenon_H5f. % 11.77/11.99 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.77/12.00 apply (zenon_L128_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.77/12.00 exact (zenon_H96 zenon_H99). % 11.77/12.00 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.77/12.00 apply (zenon_L78_); trivial. % 11.77/12.00 apply (zenon_L260_); trivial. % 11.77/12.00 (* end of lemma zenon_L637_ *) % 11.77/12.00 assert (zenon_L638_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H26a zenon_Hc0 zenon_H5f zenon_H51 zenon_Hb4 zenon_H106 zenon_H145. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H7c | zenon_intro zenon_H26b ]. % 11.77/12.00 apply (zenon_L51_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H93 | zenon_intro zenon_H26c ]. % 11.77/12.00 apply (zenon_L260_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H117 | zenon_intro zenon_H144 ]. % 11.77/12.00 apply (zenon_L303_); trivial. % 11.77/12.00 exact (zenon_H145 zenon_H144). % 11.77/12.00 (* end of lemma zenon_L638_ *) % 11.77/12.00 assert (zenon_L639_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H1d0 zenon_H8d zenon_H5b zenon_Hb1 zenon_Haf zenon_H10c zenon_H26a zenon_Hc0 zenon_H5f zenon_H51 zenon_Hb4 zenon_H145. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.77/12.00 apply (zenon_L62_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.77/12.00 apply (zenon_L42_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.77/12.00 apply (zenon_L471_); trivial. % 11.77/12.00 apply (zenon_L638_); trivial. % 11.77/12.00 (* end of lemma zenon_L639_ *) % 11.77/12.00 assert (zenon_L640_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> ((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 (e3) (e1)) = (e3)) -> False). % 11.77/12.00 do 0 intro. intros zenon_H166 zenon_H75 zenon_H1fe zenon_H145 zenon_Hb4 zenon_H51 zenon_H5f zenon_Hc0 zenon_H26a zenon_H10c zenon_H5b zenon_H8d zenon_H1d0 zenon_Hb1 zenon_Hb5. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/12.00 apply (zenon_L189_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/12.00 apply (zenon_L259_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/12.00 apply (zenon_L639_); trivial. % 11.77/12.00 apply (zenon_L65_); trivial. % 11.77/12.00 (* end of lemma zenon_L640_ *) % 11.77/12.00 assert (zenon_L641_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> ((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 (e3) (e1)) = (e3)) -> False). % 11.77/12.00 do 0 intro. intros zenon_Hc3 zenon_H6d zenon_H17a zenon_H2f zenon_H166 zenon_H75 zenon_H1fe zenon_H145 zenon_Hb4 zenon_H51 zenon_H5f zenon_H26a zenon_H10c zenon_H5b zenon_H8d zenon_H1d0 zenon_Hb1 zenon_Hb5. % 11.77/12.00 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.77/12.00 apply (zenon_L49_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.77/12.00 apply (zenon_L121_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.77/12.00 apply (zenon_L50_); trivial. % 11.77/12.00 apply (zenon_L640_); trivial. % 11.77/12.00 (* end of lemma zenon_L641_ *) % 11.77/12.00 assert (zenon_L642_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.77/12.00 do 0 intro. intros zenon_Hc3 zenon_Hb1 zenon_H6d zenon_H17a zenon_Hb5 zenon_H8d zenon_H2f zenon_H7c zenon_Hb4. % 11.77/12.00 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.77/12.00 apply (zenon_L49_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.77/12.00 apply (zenon_L121_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.77/12.00 apply (zenon_L50_); trivial. % 11.77/12.00 apply (zenon_L51_); trivial. % 11.77/12.00 (* end of lemma zenon_L642_ *) % 11.77/12.00 assert (zenon_L643_ : (((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)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H6a zenon_H1f zenon_H3c zenon_H52 zenon_H51 zenon_H28 zenon_H5b zenon_H15a zenon_H5f zenon_Hb5 zenon_Hb4 zenon_H10c zenon_He1 zenon_H145. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.77/12.00 apply (zenon_L127_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.77/12.00 apply (zenon_L17_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.77/12.00 apply (zenon_L60_); trivial. % 11.77/12.00 apply (zenon_L635_); trivial. % 11.77/12.00 (* end of lemma zenon_L643_ *) % 11.77/12.00 assert (zenon_L644_ : (((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)) = (op (e1) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H6a zenon_H1f zenon_H52 zenon_H67 zenon_H59 zenon_H163 zenon_H51 zenon_H1dc zenon_H2e zenon_H3c zenon_H1cd zenon_H15a zenon_H5f zenon_Hb5 zenon_Hb4 zenon_H10c zenon_He1 zenon_H145. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.77/12.00 apply (zenon_L127_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.77/12.00 apply (zenon_L17_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.77/12.00 apply (zenon_L626_); trivial. % 11.77/12.00 apply (zenon_L635_); trivial. % 11.77/12.00 (* end of lemma zenon_L644_ *) % 11.77/12.00 assert (zenon_L645_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((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) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H1e8 zenon_H1bd zenon_H10d zenon_H96 zenon_H95 zenon_H1d0 zenon_H26a zenon_H1fe zenon_H166 zenon_Hd4 zenon_Hca zenon_H8d zenon_H17a zenon_Hb1 zenon_Hc3 zenon_H7e zenon_H145 zenon_He1 zenon_H10c zenon_Hb4 zenon_Hb5 zenon_H5f zenon_H15a zenon_H1cd zenon_H2e zenon_H1dc zenon_H163 zenon_H59 zenon_H52 zenon_H1f zenon_H6a zenon_H28 zenon_H2f zenon_H51 zenon_Hf7. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.77/12.00 apply (zenon_L183_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.77/12.00 apply (zenon_L637_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.77/12.00 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/12.00 apply (zenon_L47_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/12.00 apply (zenon_L641_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/12.00 apply (zenon_L80_); trivial. % 11.77/12.00 apply (zenon_L642_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.77/12.00 apply (zenon_L643_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.77/12.00 apply (zenon_L53_); trivial. % 11.77/12.00 apply (zenon_L237_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/12.00 apply (zenon_L47_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/12.00 apply (zenon_L483_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/12.00 apply (zenon_L48_); trivial. % 11.77/12.00 apply (zenon_L642_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.77/12.00 apply (zenon_L644_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.77/12.00 apply (zenon_L53_); trivial. % 11.77/12.00 apply (zenon_L237_); trivial. % 11.77/12.00 (* end of lemma zenon_L645_ *) % 11.77/12.00 assert (zenon_L646_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> (((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) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H25d zenon_H239 zenon_H1bd zenon_H2f zenon_H95 zenon_H51 zenon_H5f zenon_H10c zenon_H10d zenon_H96 zenon_H59 zenon_Hca zenon_Hf7 zenon_H1f zenon_H52 zenon_H28 zenon_H15a zenon_He1 zenon_H6a zenon_Hc3 zenon_H1fe zenon_H1d0 zenon_H26a zenon_Hb4 zenon_H166 zenon_H8d zenon_Hb5 zenon_H17a zenon_Hb1 zenon_Hd4 zenon_H7e zenon_H1cd zenon_H163 zenon_H1dc zenon_H2e zenon_H1e8. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H145 | zenon_intro zenon_Hdf ]. % 11.77/12.00 apply (zenon_L645_); trivial. % 11.77/12.00 apply (zenon_L339_); trivial. % 11.77/12.00 (* end of lemma zenon_L646_ *) % 11.77/12.00 assert (zenon_L647_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.77/12.00 do 0 intro. intros zenon_Hb9 zenon_H5f zenon_H3c zenon_H96 zenon_H1aa zenon_H117 zenon_Hb4 zenon_Hb5. % 11.77/12.00 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.77/12.00 apply (zenon_L189_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.77/12.00 exact (zenon_H96 zenon_H99). % 11.77/12.00 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.77/12.00 apply (zenon_L340_); trivial. % 11.77/12.00 apply (zenon_L44_); trivial. % 11.77/12.00 (* end of lemma zenon_L647_ *) % 11.77/12.00 assert (zenon_L648_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H89 zenon_H7f zenon_H5f zenon_H29 zenon_H1b1 zenon_H117 zenon_H114 zenon_H155. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.77/12.00 exact (zenon_H7f zenon_H81). % 11.77/12.00 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.77/12.00 apply (zenon_L31_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.77/12.00 apply (zenon_L229_); trivial. % 11.77/12.00 apply (zenon_L452_); trivial. % 11.77/12.00 (* end of lemma zenon_L648_ *) % 11.77/12.00 assert (zenon_L649_ : ((op (e2) (e0)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H5b zenon_H1e zenon_Hc7. % 11.77/12.00 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H71 | zenon_intro zenon_H72 ]. % 11.77/12.00 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e0) (e0)) = (op (e2) (e0)))). % 11.77/12.00 intro zenon_D_pnotp. % 11.77/12.00 apply zenon_Hc7. % 11.77/12.00 rewrite <- zenon_D_pnotp. % 11.77/12.00 exact zenon_H71. % 11.77/12.00 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 11.77/12.00 cut (((op (e2) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc8]. % 11.77/12.00 congruence. % 11.77/12.00 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e0) (e0)))). % 11.77/12.00 intro zenon_D_pnotp. % 11.77/12.00 apply zenon_Hc8. % 11.77/12.00 rewrite <- zenon_D_pnotp. % 11.77/12.00 exact zenon_H5b. % 11.77/12.00 cut (((e0) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H23]. % 11.77/12.00 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 11.77/12.00 congruence. % 11.77/12.00 apply zenon_H72. apply refl_equal. % 11.77/12.00 apply zenon_H23. apply sym_equal. exact zenon_H1e. % 11.77/12.00 apply zenon_H72. apply refl_equal. % 11.77/12.00 apply zenon_H72. apply refl_equal. % 11.77/12.00 (* end of lemma zenon_L649_ *) % 11.77/12.00 assert (zenon_L650_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e2)) = (e3)) -> False). % 11.77/12.00 do 0 intro. intros zenon_H163 zenon_Hd7 zenon_He0. % 11.77/12.00 cut (((op (e2) (e0)) = (e3)) = ((op (e2) (e0)) = (op (e2) (e2)))). % 11.77/12.00 intro zenon_D_pnotp. % 11.77/12.00 apply zenon_H163. % 11.77/12.00 rewrite <- zenon_D_pnotp. % 11.77/12.00 exact zenon_Hd7. % 11.77/12.00 cut (((e3) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_He5]. % 11.77/12.00 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 11.77/12.00 congruence. % 11.77/12.00 apply zenon_H72. apply refl_equal. % 11.77/12.00 apply zenon_He5. apply sym_equal. exact zenon_He0. % 11.77/12.00 (* end of lemma zenon_L650_ *) % 11.77/12.00 assert (zenon_L651_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e3)) -> False). % 11.77/12.00 do 0 intro. intros zenon_H173 zenon_Hc7 zenon_H1e zenon_H170 zenon_H68 zenon_H1b1 zenon_H117 zenon_H163 zenon_He0. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H5b | zenon_intro zenon_H174 ]. % 11.77/12.00 apply (zenon_L649_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H65 | zenon_intro zenon_H175 ]. % 11.77/12.00 apply (zenon_L222_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd7 ]. % 11.77/12.00 apply (zenon_L229_); trivial. % 11.77/12.00 apply (zenon_L650_); trivial. % 11.77/12.00 (* end of lemma zenon_L651_ *) % 11.77/12.00 assert (zenon_L652_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H21f zenon_Hab zenon_He0 zenon_H163 zenon_H117 zenon_H1b1 zenon_H170 zenon_H1e zenon_Hc7 zenon_H173 zenon_Hac zenon_H65 zenon_Hb5 zenon_H121. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H67 | zenon_intro zenon_H220 ]. % 11.77/12.00 apply (zenon_L41_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H68 | zenon_intro zenon_H221 ]. % 11.77/12.00 apply (zenon_L651_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd9 ]. % 11.77/12.00 apply (zenon_L363_); trivial. % 11.77/12.00 apply (zenon_L87_); trivial. % 11.77/12.00 (* end of lemma zenon_L652_ *) % 11.77/12.00 assert (zenon_L653_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e3)) -> False). % 11.77/12.00 do 0 intro. intros zenon_H1c6 zenon_H68 zenon_H5d zenon_Hd4 zenon_H26d zenon_H163 zenon_Hd7. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c8 ]. % 11.77/12.00 apply (zenon_L139_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H1c9 ]. % 11.77/12.00 apply (zenon_L61_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10c | zenon_intro zenon_He0 ]. % 11.77/12.00 exact (zenon_H26d zenon_H10c). % 11.77/12.00 apply (zenon_L650_); trivial. % 11.77/12.00 (* end of lemma zenon_L653_ *) % 11.77/12.00 assert (zenon_L654_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H7e zenon_H7f zenon_Hb5 zenon_Hb1 zenon_H1d0 zenon_H26d zenon_Hd4 zenon_H1c6 zenon_H163 zenon_H1b1 zenon_H68 zenon_H170 zenon_H1e zenon_Hc7 zenon_H173 zenon_Hb4 zenon_H1fe zenon_H51 zenon_H166 zenon_H5f zenon_H5d zenon_H117 zenon_H186. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/12.00 exact (zenon_H7f zenon_H81). % 11.77/12.00 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.77/12.00 apply (zenon_L189_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.77/12.00 apply (zenon_L259_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.77/12.00 apply (zenon_L653_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.77/12.00 apply (zenon_L42_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.77/12.00 apply (zenon_L651_); trivial. % 11.77/12.00 apply (zenon_L303_); trivial. % 11.77/12.00 apply (zenon_L65_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/12.00 apply (zenon_L21_); trivial. % 11.77/12.00 apply (zenon_L134_); trivial. % 11.77/12.00 (* end of lemma zenon_L654_ *) % 11.77/12.00 assert (zenon_L655_ : (((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) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H7e zenon_H7f zenon_H59 zenon_H1d zenon_H5f zenon_H5d zenon_H117 zenon_H186. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/12.00 exact (zenon_H7f zenon_H81). % 11.77/12.00 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/12.00 apply (zenon_L27_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/12.00 apply (zenon_L21_); trivial. % 11.77/12.00 apply (zenon_L134_); trivial. % 11.77/12.00 (* end of lemma zenon_L655_ *) % 11.77/12.00 assert (zenon_L656_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.77/12.00 do 0 intro. intros zenon_Hca zenon_H121 zenon_H114 zenon_H155 zenon_Hda zenon_Hab zenon_H21f zenon_H59 zenon_H8d zenon_H204 zenon_H222 zenon_H17a zenon_Hb1 zenon_Hc3 zenon_Hb5 zenon_Hb4 zenon_H117 zenon_H1aa zenon_H96 zenon_H5f zenon_Hb9 zenon_H28 zenon_H2f zenon_H51 zenon_Hf7. % 11.77/12.00 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.77/12.00 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.77/12.00 apply (zenon_L49_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.77/12.00 apply (zenon_L121_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.77/12.00 apply (zenon_L50_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.77/12.00 apply (zenon_L359_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.77/12.00 apply (zenon_L226_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.77/12.00 apply (zenon_L158_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H67 | zenon_intro zenon_H220 ]. % 11.77/12.00 apply (zenon_L41_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H68 | zenon_intro zenon_H221 ]. % 11.77/12.00 apply (zenon_L324_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd9 ]. % 11.77/12.00 apply (zenon_L452_); trivial. % 11.77/12.00 apply (zenon_L87_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.77/12.00 apply (zenon_L647_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.77/12.00 apply (zenon_L53_); trivial. % 11.77/12.00 apply (zenon_L237_); trivial. % 11.77/12.00 (* end of lemma zenon_L656_ *) % 11.77/12.00 assert (zenon_L657_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.77/12.00 do 0 intro. intros zenon_H22f zenon_H8d zenon_H33 zenon_Hb1 zenon_H51 zenon_Hb4 zenon_H117 zenon_H266 zenon_Hb5. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H230 ]. % 11.77/12.00 apply (zenon_L267_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hfa | zenon_intro zenon_H231 ]. % 11.77/12.00 apply (zenon_L172_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H106 | zenon_intro zenon_Hf9 ]. % 11.77/12.00 apply (zenon_L303_); trivial. % 11.77/12.00 apply (zenon_L561_); trivial. % 11.77/12.00 (* end of lemma zenon_L657_ *) % 11.77/12.00 assert (zenon_L658_ : (((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H1b3 zenon_Hb5 zenon_H239. % 11.77/12.00 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Hdf. zenon_intro zenon_H1b4. % 11.77/12.00 apply (zenon_L339_); trivial. % 11.77/12.00 (* end of lemma zenon_L658_ *) % 11.77/12.00 assert (zenon_L659_ : (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.77/12.00 do 0 intro. intros zenon_H1ba zenon_H266 zenon_Hb5. % 11.77/12.00 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hf9. zenon_intro zenon_H1bb. % 11.77/12.00 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hf9. zenon_intro zenon_H1b0. % 11.77/12.00 apply (zenon_L561_); trivial. % 11.77/12.00 (* end of lemma zenon_L659_ *) % 11.77/12.00 assert (zenon_L660_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> False). % 11.77/12.00 do 0 intro. intros zenon_H1c6 zenon_H18c zenon_H1c7 zenon_H10d zenon_H79 zenon_H92 zenon_He8. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c8 ]. % 11.77/12.00 exact (zenon_H18c zenon_H164). % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H1c9 ]. % 11.77/12.00 exact (zenon_H1c7 zenon_Hd5). % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10c | zenon_intro zenon_He0 ]. % 11.77/12.00 apply (zenon_L78_); trivial. % 11.77/12.00 apply (zenon_L69_); trivial. % 11.77/12.00 (* end of lemma zenon_L660_ *) % 11.77/12.00 assert (zenon_L661_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> False). % 11.77/12.00 do 0 intro. intros zenon_H1ca zenon_H59 zenon_H2f zenon_He8 zenon_H92 zenon_H10d zenon_H1c7 zenon_H18c zenon_H1c6 zenon_H5a zenon_H163 zenon_H5f zenon_H146. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.77/12.00 apply (zenon_L48_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.77/12.00 apply (zenon_L660_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.77/12.00 apply (zenon_L113_); trivial. % 11.77/12.00 apply (zenon_L140_); trivial. % 11.77/12.00 (* end of lemma zenon_L661_ *) % 11.77/12.00 assert (zenon_L662_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H100 zenon_H146 zenon_H5f zenon_H163 zenon_H5a zenon_H1c6 zenon_H18c zenon_H1c7 zenon_H10d zenon_H2f zenon_H59 zenon_H1ca zenon_He8 zenon_Hf5 zenon_H7c zenon_Hf7 zenon_Hf9 zenon_Hfb. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H92 | zenon_intro zenon_H101 ]. % 11.77/12.00 apply (zenon_L661_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H51 | zenon_intro zenon_H102 ]. % 11.77/12.00 apply (zenon_L70_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H93 | zenon_intro zenon_Hfa ]. % 11.77/12.00 apply (zenon_L71_); trivial. % 11.77/12.00 apply (zenon_L72_); trivial. % 11.77/12.00 (* end of lemma zenon_L662_ *) % 11.77/12.00 assert (zenon_L663_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H103 zenon_Hda zenon_Hbc zenon_H197 zenon_Hb4 zenon_H170 zenon_H15a zenon_Hb1 zenon_H100 zenon_H146 zenon_H5f zenon_H163 zenon_H5a zenon_H1c6 zenon_H18c zenon_H1c7 zenon_H10d zenon_H2f zenon_H59 zenon_H1ca zenon_He8 zenon_Hf5 zenon_H7c zenon_Hf7 zenon_Hfb. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H104 ]. % 11.77/12.00 apply (zenon_L64_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H105 ]. % 11.77/12.00 apply (zenon_L211_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf9 ]. % 11.77/12.00 apply (zenon_L194_); trivial. % 11.77/12.00 apply (zenon_L662_); trivial. % 11.77/12.00 (* end of lemma zenon_L663_ *) % 11.77/12.00 assert (zenon_L664_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H1cd zenon_H3c zenon_H2e zenon_H4a zenon_H29 zenon_H103 zenon_Hda zenon_Hbc zenon_H197 zenon_Hb4 zenon_H170 zenon_H15a zenon_Hb1 zenon_H100 zenon_H5f zenon_H163 zenon_H5a zenon_H1c6 zenon_H18c zenon_H1c7 zenon_H10d zenon_H2f zenon_H59 zenon_H1ca zenon_He8 zenon_Hf5 zenon_H7c zenon_Hf7 zenon_Hfb. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.77/12.00 apply (zenon_L58_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.77/12.00 apply (zenon_L15_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.77/12.00 exact (zenon_H1c7 zenon_Hd5). % 11.77/12.00 apply (zenon_L663_); trivial. % 11.77/12.00 (* end of lemma zenon_L664_ *) % 11.77/12.00 assert (zenon_L665_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e1) (e3)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> False). % 11.77/12.00 do 0 intro. intros zenon_H19e zenon_H5a zenon_H59 zenon_Haf zenon_H28 zenon_H18c zenon_H93 zenon_H9b. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.77/12.00 apply (zenon_L20_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.77/12.00 apply (zenon_L136_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.77/12.00 exact (zenon_H18c zenon_H164). % 11.77/12.00 apply (zenon_L40_); trivial. % 11.77/12.00 (* end of lemma zenon_L665_ *) % 11.77/12.00 assert (zenon_L666_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e0)) -> False). % 11.77/12.00 do 0 intro. intros zenon_H168 zenon_H2a zenon_H28 zenon_H49 zenon_H128 zenon_H103 zenon_H68 zenon_He1 zenon_Hfb zenon_Hcd zenon_Hb4 zenon_H1d0 zenon_H93 zenon_H18c zenon_H1ac zenon_H1aa zenon_Hf5 zenon_H59 zenon_H5a zenon_H19e zenon_Hb1 zenon_Haf zenon_H8d zenon_H1e2. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.77/12.00 apply (zenon_L96_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.77/12.00 apply (zenon_L665_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.77/12.00 apply (zenon_L191_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.77/12.00 apply (zenon_L228_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.77/12.00 apply (zenon_L20_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.77/12.00 apply (zenon_L169_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.77/12.00 exact (zenon_H18c zenon_H164). % 11.77/12.00 apply (zenon_L40_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.77/12.00 apply (zenon_L42_); trivial. % 11.77/12.00 apply (zenon_L226_); trivial. % 11.77/12.00 (* end of lemma zenon_L666_ *) % 11.77/12.00 assert (zenon_L667_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((e0) = (e3))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H1e5 zenon_H2f zenon_Hc7 zenon_H7e zenon_H78 zenon_Hc3 zenon_Hca zenon_H43 zenon_H95 zenon_H70 zenon_H75 zenon_H130 zenon_H5f zenon_H168 zenon_H2a zenon_H28 zenon_H49 zenon_H128 zenon_H103 zenon_H68 zenon_He1 zenon_Hfb zenon_Hcd zenon_Hb4 zenon_H1d0 zenon_H18c zenon_H1ac zenon_H1aa zenon_Hf5 zenon_H59 zenon_H5a zenon_H19e zenon_Hb1 zenon_Haf zenon_H8d. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.77/12.00 apply (zenon_L235_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.77/12.00 apply (zenon_L92_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.77/12.00 apply (zenon_L136_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.77/12.00 apply (zenon_L26_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.77/12.00 apply (zenon_L94_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.77/12.00 apply (zenon_L224_); trivial. % 11.77/12.00 apply (zenon_L666_); trivial. % 11.77/12.00 (* end of lemma zenon_L667_ *) % 11.77/12.00 assert (zenon_L668_ : (((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) (e2)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H6a zenon_H6b zenon_H4a zenon_H8d zenon_Hb1 zenon_H19e zenon_H5a zenon_Hf5 zenon_H1ac zenon_H18c zenon_H1d0 zenon_Hb4 zenon_Hcd zenon_Hfb zenon_He1 zenon_H103 zenon_H128 zenon_H28 zenon_H2a zenon_H168 zenon_H130 zenon_H70 zenon_H95 zenon_H43 zenon_Hca zenon_Hc3 zenon_H78 zenon_H7e zenon_Hc7 zenon_H1e5 zenon_H59 zenon_H2f zenon_H1c2 zenon_H5f zenon_H1dc zenon_H49 zenon_Haf zenon_H1aa zenon_H1c3. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.77/12.00 exact (zenon_H6b zenon_H6d). % 11.77/12.00 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.77/12.00 apply (zenon_L15_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.77/12.00 apply (zenon_L23_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.77/12.00 apply (zenon_L54_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.77/12.00 apply (zenon_L667_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.77/12.00 apply (zenon_L48_); trivial. % 11.77/12.00 apply (zenon_L220_); trivial. % 11.77/12.00 (* end of lemma zenon_L668_ *) % 11.77/12.00 assert (zenon_L669_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H103 zenon_Hda zenon_Hbc zenon_H1e2 zenon_H8d zenon_Hb1 zenon_H100 zenon_H146 zenon_H5f zenon_H163 zenon_H5a zenon_H1c6 zenon_H18c zenon_H1c7 zenon_H10d zenon_H2f zenon_H59 zenon_H1ca zenon_He8 zenon_Hf5 zenon_H7c zenon_Hf7 zenon_Hfb. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H104 ]. % 11.77/12.00 apply (zenon_L64_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H105 ]. % 11.77/12.00 apply (zenon_L226_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf9 ]. % 11.77/12.00 apply (zenon_L194_); trivial. % 11.77/12.00 apply (zenon_L662_); trivial. % 11.77/12.00 (* end of lemma zenon_L669_ *) % 11.77/12.00 assert (zenon_L670_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e0)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H1cd zenon_H1aa zenon_Haf zenon_H1dc zenon_H1e5 zenon_Hc7 zenon_H7e zenon_H78 zenon_Hc3 zenon_Hca zenon_H43 zenon_H95 zenon_H70 zenon_H130 zenon_H168 zenon_H2a zenon_H28 zenon_H128 zenon_He1 zenon_Hcd zenon_Hb4 zenon_H1d0 zenon_H1ac zenon_H19e zenon_H4a zenon_H6b zenon_H6a zenon_H1c2 zenon_H3c zenon_H34 zenon_H52 zenon_H29 zenon_Hfb zenon_Hf7 zenon_H7c zenon_Hf5 zenon_H1ca zenon_H59 zenon_H2f zenon_H10d zenon_H1c7 zenon_H18c zenon_H1c6 zenon_H5a zenon_H163 zenon_H5f zenon_H100 zenon_Hb1 zenon_H8d zenon_H1e2 zenon_Hbc zenon_Hda zenon_H103 zenon_H1c3. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.77/12.00 apply (zenon_L53_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.77/12.00 apply (zenon_L668_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.77/12.00 exact (zenon_H1c7 zenon_Hd5). % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H63 | zenon_intro zenon_H1c4 ]. % 11.77/12.00 apply (zenon_L22_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H51 | zenon_intro zenon_H1c5 ]. % 11.77/12.00 apply (zenon_L17_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_He8 | zenon_intro zenon_H198 ]. % 11.77/12.00 apply (zenon_L669_); trivial. % 11.77/12.00 exact (zenon_H1c3 zenon_H198). % 11.77/12.00 (* end of lemma zenon_L670_ *) % 11.77/12.00 assert (zenon_L671_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H1cd zenon_H3c zenon_H2e zenon_H4a zenon_H29 zenon_H103 zenon_Hda zenon_Hbc zenon_H1e2 zenon_H8d zenon_Hb1 zenon_H100 zenon_H5f zenon_H163 zenon_H5a zenon_H1c6 zenon_H18c zenon_H1c7 zenon_H10d zenon_H2f zenon_H59 zenon_H1ca zenon_He8 zenon_Hf5 zenon_H7c zenon_Hf7 zenon_Hfb. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.77/12.00 apply (zenon_L58_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.77/12.00 apply (zenon_L15_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.77/12.00 exact (zenon_H1c7 zenon_Hd5). % 11.77/12.00 apply (zenon_L669_); trivial. % 11.77/12.00 (* end of lemma zenon_L671_ *) % 11.77/12.00 assert (zenon_L672_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H1cd zenon_H3c zenon_H2e zenon_H28 zenon_H67 zenon_H4a zenon_H6b zenon_H6a zenon_H1ca zenon_H59 zenon_H2f zenon_He8 zenon_H92 zenon_H10d zenon_H1c7 zenon_H18c zenon_H1c6 zenon_H5a zenon_H163 zenon_H5f. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.77/12.00 apply (zenon_L58_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.77/12.00 apply (zenon_L190_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.77/12.00 exact (zenon_H1c7 zenon_Hd5). % 11.77/12.00 apply (zenon_L661_); trivial. % 11.77/12.00 (* end of lemma zenon_L672_ *) % 11.77/12.00 assert (zenon_L673_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e1)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H157 zenon_H29 zenon_H70 zenon_H189 zenon_H1cd zenon_H3c zenon_H2e zenon_H28 zenon_H67 zenon_H4a zenon_H6b zenon_H6a zenon_H1ca zenon_H59 zenon_H2f zenon_H92 zenon_H10d zenon_H1c7 zenon_H18c zenon_H1c6 zenon_H5a zenon_H163 zenon_H5f. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.77/12.00 apply (zenon_L90_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.77/12.00 apply (zenon_L136_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.77/12.00 exact (zenon_H1c7 zenon_Hd5). % 11.77/12.00 apply (zenon_L672_); trivial. % 11.77/12.00 (* end of lemma zenon_L673_ *) % 11.77/12.00 assert (zenon_L674_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e0)) -> False). % 11.77/12.00 do 0 intro. intros zenon_H1d0 zenon_Hb4 zenon_H5a zenon_Hb1 zenon_Haf zenon_H1c3 zenon_H92 zenon_H28 zenon_H7c zenon_H5f zenon_H1c2 zenon_H8d zenon_Ha2. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.77/12.00 apply (zenon_L124_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.77/12.00 apply (zenon_L42_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.77/12.00 apply (zenon_L197_); trivial. % 11.77/12.00 apply (zenon_L208_); trivial. % 11.77/12.00 (* end of lemma zenon_L674_ *) % 11.77/12.00 assert (zenon_L675_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e3)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> False). % 11.77/12.00 do 0 intro. intros zenon_H1cd zenon_H28 zenon_Hb1 zenon_H13b zenon_H1ca zenon_H59 zenon_H2f zenon_He8 zenon_H92 zenon_H10d zenon_H1c7 zenon_H18c zenon_H1c6 zenon_H5a zenon_H163 zenon_H5f. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.77/12.00 apply (zenon_L53_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.77/12.00 apply (zenon_L191_); trivial. % 11.77/12.00 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.77/12.00 exact (zenon_H1c7 zenon_Hd5). % 11.77/12.00 apply (zenon_L661_); trivial. % 11.77/12.00 (* end of lemma zenon_L675_ *) % 11.77/12.00 assert (zenon_L676_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e3) (e3)) = (e1))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e3)) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> False). % 11.84/12.02 do 0 intro. intros zenon_H19e zenon_H6a zenon_H6b zenon_H4a zenon_H67 zenon_H2e zenon_H3c zenon_H70 zenon_H29 zenon_H157 zenon_H8d zenon_H1c2 zenon_H7c zenon_H1c3 zenon_Hb4 zenon_H1d0 zenon_H1cd zenon_H28 zenon_Hb1 zenon_H13b zenon_H1ca zenon_H59 zenon_H2f zenon_H92 zenon_H10d zenon_H1c7 zenon_H18c zenon_H1c6 zenon_H5a zenon_H163 zenon_H5f. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.84/12.02 apply (zenon_L20_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.84/12.02 apply (zenon_L673_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.84/12.02 exact (zenon_H18c zenon_H164). % 11.84/12.02 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.84/12.02 apply (zenon_L23_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.84/12.02 apply (zenon_L674_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.84/12.02 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.02 apply (zenon_L675_); trivial. % 11.84/12.02 (* end of lemma zenon_L676_ *) % 11.84/12.02 assert (zenon_L677_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e1)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.84/12.02 do 0 intro. intros zenon_H103 zenon_H197 zenon_H15a zenon_H146 zenon_H100 zenon_H5f zenon_H163 zenon_H5a zenon_H1c6 zenon_H18c zenon_H1c7 zenon_H10d zenon_H2f zenon_H59 zenon_H1ca zenon_H13b zenon_Hb1 zenon_H28 zenon_H1cd zenon_H1d0 zenon_Hb4 zenon_H1c3 zenon_H1c2 zenon_H8d zenon_H157 zenon_H29 zenon_H70 zenon_H3c zenon_H2e zenon_H67 zenon_H4a zenon_H6b zenon_H6a zenon_H19e zenon_He8 zenon_Hf5 zenon_H7c zenon_Hf7 zenon_Hfb. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H104 ]. % 11.84/12.02 apply (zenon_L120_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H105 ]. % 11.84/12.02 apply (zenon_L193_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf9 ]. % 11.84/12.02 apply (zenon_L194_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H92 | zenon_intro zenon_H101 ]. % 11.84/12.02 apply (zenon_L676_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H51 | zenon_intro zenon_H102 ]. % 11.84/12.02 apply (zenon_L70_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H93 | zenon_intro zenon_Hfa ]. % 11.84/12.02 apply (zenon_L71_); trivial. % 11.84/12.02 apply (zenon_L72_); trivial. % 11.84/12.02 (* end of lemma zenon_L677_ *) % 11.84/12.02 assert (zenon_L678_ : ((op (e1) (e2)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.84/12.02 do 0 intro. intros zenon_H79 zenon_H103 zenon_H197 zenon_H15a zenon_H100 zenon_H5f zenon_H163 zenon_H5a zenon_H1c6 zenon_H18c zenon_H1c7 zenon_H10d zenon_H2f zenon_H59 zenon_H1ca zenon_H13b zenon_Hb1 zenon_H28 zenon_H1cd zenon_H1d0 zenon_Hb4 zenon_H1c3 zenon_H1c2 zenon_H8d zenon_H157 zenon_H29 zenon_H70 zenon_H3c zenon_H2e zenon_H67 zenon_H4a zenon_H6b zenon_H6a zenon_H19e zenon_He8 zenon_Hf5 zenon_H7c zenon_Hf7 zenon_Hfb. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.84/12.02 apply (zenon_L58_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.84/12.02 apply (zenon_L224_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.84/12.02 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.02 apply (zenon_L677_); trivial. % 11.84/12.02 (* end of lemma zenon_L678_ *) % 11.84/12.02 assert (zenon_L679_ : ((op (e2) (e1)) = (e3)) -> ((op (e1) (e2)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.84/12.02 do 0 intro. intros zenon_Hb0 zenon_H79 zenon_H103 zenon_H197 zenon_H15a zenon_H100 zenon_H5f zenon_H163 zenon_H5a zenon_H1c6 zenon_H18c zenon_H1c7 zenon_H10d zenon_H2f zenon_H59 zenon_H1ca zenon_H13b zenon_Hb1 zenon_H28 zenon_H1cd zenon_H1d0 zenon_Hb4 zenon_H1c3 zenon_H1c2 zenon_H8d zenon_H157 zenon_H29 zenon_H70 zenon_H3c zenon_H2e zenon_H67 zenon_H4a zenon_H6b zenon_H6a zenon_H19e zenon_Hf5 zenon_H7c zenon_Hf7 zenon_Hfb. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.84/12.02 apply (zenon_L23_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.84/12.02 apply (zenon_L42_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.84/12.02 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.02 apply (zenon_L678_); trivial. % 11.84/12.02 (* end of lemma zenon_L679_ *) % 11.84/12.02 assert (zenon_L680_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.84/12.02 do 0 intro. intros zenon_H103 zenon_Hda zenon_Hbc zenon_H197 zenon_Hb4 zenon_H67 zenon_H15a zenon_He1 zenon_He0 zenon_H100 zenon_H146 zenon_H5f zenon_H163 zenon_H5a zenon_H1c6 zenon_H18c zenon_H1c7 zenon_H10d zenon_H2f zenon_H59 zenon_H1ca zenon_He8 zenon_Hf5 zenon_H7c zenon_Hf7 zenon_Hfb. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H104 ]. % 11.84/12.02 apply (zenon_L64_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H105 ]. % 11.84/12.02 apply (zenon_L193_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf9 ]. % 11.84/12.02 apply (zenon_L66_); trivial. % 11.84/12.02 apply (zenon_L662_); trivial. % 11.84/12.02 (* end of lemma zenon_L680_ *) % 11.84/12.02 assert (zenon_L681_ : ((op (e1) (e2)) = (e2)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e1)) -> False). % 11.84/12.02 do 0 intro. intros zenon_H79 zenon_H28 zenon_H1cd zenon_H1d0 zenon_H1c3 zenon_H1c2 zenon_H8d zenon_H157 zenon_H29 zenon_H70 zenon_H3c zenon_H2e zenon_H4a zenon_H6b zenon_H6a zenon_H19e zenon_H1d1 zenon_Hfb zenon_Hf7 zenon_H7c zenon_Hf5 zenon_H1ca zenon_H59 zenon_H2f zenon_H10d zenon_H1c7 zenon_H18c zenon_H1c6 zenon_H5a zenon_H163 zenon_H5f zenon_H146 zenon_H100 zenon_He1 zenon_H15a zenon_H67 zenon_Hb4 zenon_H197 zenon_Hbc zenon_Hda zenon_H103 zenon_Hb1 zenon_He8. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.84/12.02 apply (zenon_L124_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d4 ]. % 11.84/12.02 apply (zenon_L50_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13b | zenon_intro zenon_H1d5 ]. % 11.84/12.02 apply (zenon_L679_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ]. % 11.84/12.02 apply (zenon_L680_); trivial. % 11.84/12.02 apply (zenon_L194_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.84/12.02 apply (zenon_L680_); trivial. % 11.84/12.02 apply (zenon_L75_); trivial. % 11.84/12.02 (* end of lemma zenon_L681_ *) % 11.84/12.02 assert (zenon_L682_ : ((op (e2) (e3)) = (e1)) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> False). % 11.84/12.02 do 0 intro. intros zenon_He8 zenon_Hb1 zenon_H103 zenon_Hda zenon_Hbc zenon_H197 zenon_Hb4 zenon_H67 zenon_H15a zenon_He1 zenon_H100 zenon_H1c6 zenon_H18c zenon_H1c7 zenon_H10d zenon_H2f zenon_H59 zenon_H1ca zenon_Hf5 zenon_H7c zenon_Hf7 zenon_Hfb zenon_H1d1 zenon_H19e zenon_H6a zenon_H6b zenon_H4a zenon_H2e zenon_H3c zenon_H70 zenon_H29 zenon_H157 zenon_H8d zenon_H1c2 zenon_H1c3 zenon_H1d0 zenon_H1cd zenon_H28 zenon_H5a zenon_H163 zenon_H5f. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.84/12.02 apply (zenon_L58_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.84/12.02 apply (zenon_L190_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.84/12.02 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.84/12.02 apply (zenon_L48_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.84/12.02 apply (zenon_L681_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.84/12.02 apply (zenon_L113_); trivial. % 11.84/12.02 apply (zenon_L140_); trivial. % 11.84/12.02 (* end of lemma zenon_L682_ *) % 11.84/12.02 assert (zenon_L683_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e0)) -> False). % 11.84/12.02 do 0 intro. intros zenon_H1cd zenon_H28 zenon_H115 zenon_H3c zenon_H17a zenon_H176 zenon_H29 zenon_H19a zenon_H1d0 zenon_Hb1 zenon_Haf zenon_H1c3 zenon_H103 zenon_Hda zenon_Hbc zenon_H197 zenon_Hb4 zenon_H67 zenon_H15a zenon_He1 zenon_H100 zenon_H5f zenon_H163 zenon_H5a zenon_H1c6 zenon_H18c zenon_H1c7 zenon_H10d zenon_H2f zenon_H59 zenon_H1ca zenon_Hf5 zenon_H7c zenon_Hf7 zenon_Hfb zenon_H40 zenon_H52 zenon_H1c2 zenon_H8d zenon_Ha2. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.84/12.02 apply (zenon_L53_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.84/12.02 apply (zenon_L405_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.84/12.02 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.84/12.02 apply (zenon_L124_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.84/12.02 apply (zenon_L42_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H63 | zenon_intro zenon_H1c4 ]. % 11.84/12.02 apply (zenon_L29_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H51 | zenon_intro zenon_H1c5 ]. % 11.84/12.02 apply (zenon_L401_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_He8 | zenon_intro zenon_H198 ]. % 11.84/12.02 apply (zenon_L680_); trivial. % 11.84/12.02 exact (zenon_H1c3 zenon_H198). % 11.84/12.02 apply (zenon_L208_); trivial. % 11.84/12.02 (* end of lemma zenon_L683_ *) % 11.84/12.02 assert (zenon_L684_ : ((~((op (e3) (e3)) = (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 (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False). % 11.84/12.02 do 0 intro. intros zenon_H1db zenon_H132 zenon_H1e9 zenon_H1b1 zenon_H12e zenon_H1bd zenon_H2f zenon_H6a zenon_Hc7 zenon_H1e5 zenon_H70 zenon_H130 zenon_H168 zenon_H1d0 zenon_Hf5 zenon_He1 zenon_Hfb zenon_H103 zenon_Hcd zenon_H1aa zenon_H1ac zenon_H128 zenon_H18c zenon_H19e zenon_H95 zenon_Haf zenon_H43 zenon_H7e zenon_Hb1 zenon_H8d zenon_Hb4 zenon_Hc3 zenon_H59 zenon_H28 zenon_H78 zenon_Hca zenon_H1c2 zenon_H1dc zenon_H5a zenon_H5f zenon_H49 zenon_H4a zenon_H6b zenon_H1e8. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c3 | zenon_intro zenon_Hb5 ]. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.02 apply (zenon_L183_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.02 apply (zenon_L668_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.02 apply (zenon_L20_); trivial. % 11.84/12.02 apply (zenon_L190_); trivial. % 11.84/12.02 apply (zenon_L234_); trivial. % 11.84/12.02 (* end of lemma zenon_L684_ *) % 11.84/12.02 assert (zenon_L685_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.84/12.02 do 0 intro. intros zenon_H128 zenon_Hb1 zenon_Hcd zenon_Hb4 zenon_H5f zenon_H157 zenon_H9c zenon_He7 zenon_H163 zenon_H5a zenon_H1fb zenon_Hc0 zenon_H186 zenon_Hd9 zenon_H170 zenon_H1d0 zenon_H12e zenon_H44 zenon_H75 zenon_H17a zenon_H1a4 zenon_H18c zenon_H1c6 zenon_H126 zenon_H121. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.84/12.02 apply (zenon_L253_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.84/12.02 exact (zenon_H9c zenon_H9b). % 11.84/12.02 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c8 ]. % 11.84/12.02 exact (zenon_H18c zenon_H164). % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H1c9 ]. % 11.84/12.02 apply (zenon_L251_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10c | zenon_intro zenon_He0 ]. % 11.84/12.02 apply (zenon_L113_); trivial. % 11.84/12.02 exact (zenon_He7 zenon_He0). % 11.84/12.02 apply (zenon_L88_); trivial. % 11.84/12.02 (* end of lemma zenon_L685_ *) % 11.84/12.02 assert (zenon_L686_ : (((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)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> False). % 11.84/12.02 do 0 intro. intros zenon_H19e zenon_H170 zenon_H17a zenon_H44 zenon_H12e zenon_H121 zenon_H67 zenon_H1fb zenon_Hb1 zenon_H204 zenon_H1be zenon_H2f zenon_H28 zenon_Hab zenon_H7c zenon_H5f zenon_H1c2 zenon_H18c zenon_H1d0 zenon_Hb4 zenon_H5a zenon_H8c zenon_Hcd zenon_He7 zenon_H8d. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.84/12.02 apply (zenon_L281_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.84/12.02 apply (zenon_L286_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.84/12.02 exact (zenon_H18c zenon_H164). % 11.84/12.02 apply (zenon_L287_); trivial. % 11.84/12.02 (* end of lemma zenon_L686_ *) % 11.84/12.02 assert (zenon_L687_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> False). % 11.84/12.02 do 0 intro. intros zenon_H157 zenon_H170 zenon_H68 zenon_H85 zenon_H5f zenon_H1c7 zenon_Hb1 zenon_H106. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.84/12.02 apply (zenon_L222_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.84/12.02 apply (zenon_L59_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.84/12.02 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.02 apply (zenon_L75_); trivial. % 11.84/12.02 (* end of lemma zenon_L687_ *) % 11.84/12.02 assert (zenon_L688_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((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 (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> False). % 11.84/12.02 do 0 intro. intros zenon_H1ca zenon_H84 zenon_H2a zenon_H1bd zenon_H89 zenon_H257 zenon_H1d0 zenon_H8d zenon_Hb4 zenon_H217 zenon_H1b1 zenon_H5b zenon_H167 zenon_H1be zenon_H49 zenon_H28 zenon_H163 zenon_H59 zenon_H204 zenon_H157 zenon_H170 zenon_H68 zenon_H85 zenon_H5f zenon_H1c7 zenon_Hb1. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.84/12.02 apply (zenon_L60_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.84/12.02 apply (zenon_L59_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.84/12.02 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.84/12.02 apply (zenon_L505_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.84/12.02 apply (zenon_L224_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.84/12.02 apply (zenon_L392_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.84/12.02 apply (zenon_L62_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.84/12.02 apply (zenon_L63_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.84/12.02 apply (zenon_L507_); trivial. % 11.84/12.02 apply (zenon_L687_); trivial. % 11.84/12.02 (* end of lemma zenon_L688_ *) % 11.84/12.02 assert (zenon_L689_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e1) (e3)) = (e0)) -> (~((e1) = (e3))) -> False). % 11.84/12.02 do 0 intro. intros zenon_H157 zenon_H170 zenon_H68 zenon_H5f zenon_H1c7 zenon_H1d0 zenon_H8d zenon_H5b zenon_Hb4 zenon_H85 zenon_H92 zenon_Hb1. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.84/12.02 apply (zenon_L222_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.84/12.02 apply (zenon_L59_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.84/12.02 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.02 apply (zenon_L465_); trivial. % 11.84/12.02 (* end of lemma zenon_L689_ *) % 11.84/12.02 assert (zenon_L690_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (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) (e2)) = (e3))) -> False). % 11.84/12.02 do 0 intro. intros zenon_H1ca zenon_H59 zenon_H5f zenon_H49 zenon_H257 zenon_H85 zenon_H1c6 zenon_H2f zenon_Hd4 zenon_H1c7 zenon_He1 zenon_He7. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.84/12.02 apply (zenon_L48_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.84/12.02 apply (zenon_L224_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.84/12.02 apply (zenon_L392_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c8 ]. % 11.84/12.02 apply (zenon_L195_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H1c9 ]. % 11.84/12.02 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10c | zenon_intro zenon_He0 ]. % 11.84/12.02 apply (zenon_L98_); trivial. % 11.84/12.02 exact (zenon_He7 zenon_He0). % 11.84/12.02 (* end of lemma zenon_L690_ *) % 11.84/12.02 assert (zenon_L691_ : (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((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 (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> False). % 11.84/12.02 do 0 intro. intros zenon_He1 zenon_H1c7 zenon_H1c6 zenon_H233 zenon_Hd4 zenon_H3c zenon_H2e zenon_H212 zenon_H78 zenon_H173 zenon_H163 zenon_H28 zenon_H167 zenon_H170 zenon_H84 zenon_H68 zenon_Hbe zenon_H1d1 zenon_H59 zenon_H85 zenon_H257 zenon_H5f zenon_Hb4 zenon_H1ca zenon_Hb1 zenon_H49 zenon_He7 zenon_H8d. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.84/12.02 apply (zenon_L690_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.84/12.02 apply (zenon_L390_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.84/12.02 apply (zenon_L543_); trivial. % 11.84/12.02 apply (zenon_L544_); trivial. % 11.84/12.02 (* end of lemma zenon_L691_ *) % 11.84/12.02 assert (zenon_L692_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> False). % 11.84/12.02 do 0 intro. intros zenon_H1c6 zenon_H5b zenon_H163 zenon_H1c7 zenon_H257 zenon_H85 zenon_He7. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c8 ]. % 11.84/12.02 apply (zenon_L109_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H1c9 ]. % 11.84/12.02 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H10c | zenon_intro zenon_He0 ]. % 11.84/12.02 apply (zenon_L392_); trivial. % 11.84/12.02 exact (zenon_He7 zenon_He0). % 11.84/12.02 (* end of lemma zenon_L692_ *) % 11.84/12.02 assert (zenon_L693_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((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)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (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 (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.84/12.02 do 0 intro. intros zenon_H1e8 zenon_H215 zenon_He1 zenon_H233 zenon_Hd4 zenon_H2e zenon_H212 zenon_H173 zenon_H167 zenon_H170 zenon_H84 zenon_H89 zenon_H1bd zenon_H1d1 zenon_H1ca zenon_H257 zenon_H1c7 zenon_H163 zenon_H1c6 zenon_Hca zenon_H59 zenon_Hc3 zenon_H17a zenon_Hb4 zenon_H8d zenon_H85 zenon_Hcd zenon_H5f zenon_H7e zenon_H1d0 zenon_Hb1 zenon_H1a4 zenon_Hb5 zenon_He7 zenon_Hfa zenon_Hf5 zenon_H4a zenon_H1f zenon_H6a zenon_H78 zenon_H49 zenon_H33 zenon_H28. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.02 apply (zenon_L291_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.02 apply (zenon_L549_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.02 apply (zenon_L127_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.02 apply (zenon_L15_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.02 apply (zenon_L538_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.84/12.02 apply (zenon_L690_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.84/12.02 apply (zenon_L390_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.84/12.02 apply (zenon_L505_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.84/12.02 apply (zenon_L224_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.84/12.02 apply (zenon_L392_); trivial. % 11.84/12.02 apply (zenon_L542_); trivial. % 11.84/12.02 apply (zenon_L544_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.02 apply (zenon_L221_); trivial. % 11.84/12.02 apply (zenon_L335_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.02 apply (zenon_L692_); trivial. % 11.84/12.02 apply (zenon_L550_); trivial. % 11.84/12.02 (* end of lemma zenon_L693_ *) % 11.84/12.02 assert (zenon_L694_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (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 (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.84/12.02 do 0 intro. intros zenon_H1e8 zenon_H215 zenon_Hf5 zenon_H9c zenon_H8d zenon_H168 zenon_He7 zenon_H257 zenon_H163 zenon_H1c6 zenon_Hca zenon_H59 zenon_H166 zenon_H236 zenon_H1cd zenon_H5f zenon_H157 zenon_Hc7 zenon_H1c7 zenon_Hb1 zenon_H106 zenon_Hcd zenon_H7e zenon_H239 zenon_Hdf zenon_H1a4 zenon_H85 zenon_H17a zenon_H121 zenon_H1fb zenon_H78 zenon_H49 zenon_H33 zenon_H28. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.02 apply (zenon_L291_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.02 apply (zenon_L554_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.02 apply (zenon_L692_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.02 apply (zenon_L47_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.02 apply (zenon_L57_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.02 apply (zenon_L557_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.02 apply (zenon_L343_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.02 apply (zenon_L59_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.84/12.02 apply (zenon_L262_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.84/12.02 apply (zenon_L151_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.84/12.02 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.02 apply (zenon_L75_); trivial. % 11.84/12.02 apply (zenon_L416_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.02 apply (zenon_L557_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.02 apply (zenon_L221_); trivial. % 11.84/12.02 apply (zenon_L335_); trivial. % 11.84/12.02 (* end of lemma zenon_L694_ *) % 11.84/12.02 assert (zenon_L695_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False). % 11.84/12.02 do 0 intro. intros zenon_H21f zenon_Hf9 zenon_H266 zenon_H1a4 zenon_H17a zenon_H121 zenon_H1fb zenon_Hb4 zenon_He7 zenon_H233 zenon_H164 zenon_Hd4 zenon_H3c zenon_H2e zenon_H212 zenon_H78 zenon_H173 zenon_H59 zenon_H163 zenon_H28 zenon_H49 zenon_H8d zenon_H167 zenon_H170 zenon_H85 zenon_H84 zenon_H1d1 zenon_H155 zenon_H114 zenon_H135 zenon_H176. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H67 | zenon_intro zenon_H220 ]. % 11.84/12.02 apply (zenon_L571_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H68 | zenon_intro zenon_H221 ]. % 11.84/12.02 apply (zenon_L542_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H87 | zenon_intro zenon_Hd9 ]. % 11.84/12.02 apply (zenon_L452_); trivial. % 11.84/12.02 apply (zenon_L119_); trivial. % 11.84/12.02 (* end of lemma zenon_L695_ *) % 11.84/12.02 assert (zenon_L696_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False). % 11.84/12.02 do 0 intro. intros zenon_H1ca zenon_H228 zenon_Hb1 zenon_H5f zenon_H257 zenon_H21f zenon_Hf9 zenon_H266 zenon_H1a4 zenon_H17a zenon_H121 zenon_H1fb zenon_Hb4 zenon_He7 zenon_H233 zenon_H164 zenon_Hd4 zenon_H3c zenon_H2e zenon_H212 zenon_H78 zenon_H173 zenon_H59 zenon_H163 zenon_H28 zenon_H49 zenon_H8d zenon_H167 zenon_H170 zenon_H85 zenon_H84 zenon_H1d1 zenon_H155 zenon_H135 zenon_H176. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.84/12.02 apply (zenon_L563_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.84/12.02 apply (zenon_L224_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.84/12.02 apply (zenon_L392_); trivial. % 11.84/12.02 apply (zenon_L695_); trivial. % 11.84/12.02 (* end of lemma zenon_L696_ *) % 11.84/12.02 assert (zenon_L697_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((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)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.84/12.02 do 0 intro. intros zenon_H1e8 zenon_H215 zenon_H168 zenon_H8d zenon_H9c zenon_H239 zenon_H1ca zenon_H233 zenon_Hd4 zenon_H2e zenon_H1be zenon_H167 zenon_Hfb zenon_H222 zenon_H176 zenon_H12e zenon_H43 zenon_H132 zenon_H197 zenon_H236 zenon_H1f zenon_H166 zenon_H257 zenon_H1c7 zenon_H163 zenon_H1c6 zenon_Hca zenon_H59 zenon_H1d1 zenon_Hb4 zenon_H115 zenon_H212 zenon_H155 zenon_H159 zenon_He7 zenon_H1ba zenon_H228 zenon_Hcd zenon_H5f zenon_H7e zenon_Hf9 zenon_H266 zenon_H1a4 zenon_H85 zenon_H17a zenon_H121 zenon_H1fb zenon_H78 zenon_H49 zenon_H33 zenon_H28. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.02 apply (zenon_L291_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.02 apply (zenon_L569_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.02 apply (zenon_L692_); trivial. % 11.84/12.02 apply (zenon_L572_); trivial. % 11.84/12.02 (* end of lemma zenon_L697_ *) % 11.84/12.02 assert (zenon_L698_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e2)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.84/12.02 do 0 intro. intros zenon_H22a zenon_H217 zenon_H1c3 zenon_H146 zenon_H14c zenon_Hab zenon_Hd9. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_Hac | zenon_intro zenon_H22b ]. % 11.84/12.02 exact (zenon_H217 zenon_Hac). % 11.84/12.02 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H198 | zenon_intro zenon_H22c ]. % 11.84/12.02 exact (zenon_H1c3 zenon_H198). % 11.84/12.02 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H144 | zenon_intro zenon_Hf9 ]. % 11.84/12.02 apply (zenon_L104_); trivial. % 11.84/12.02 apply (zenon_L381_); trivial. % 11.84/12.02 (* end of lemma zenon_L698_ *) % 11.84/12.02 assert (zenon_L699_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e0) = (e1))) -> (~((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) (e3)) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.84/12.02 do 0 intro. intros zenon_H1cd zenon_H3c zenon_H2e zenon_H28 zenon_H1c7 zenon_H22a zenon_H217 zenon_H1c3 zenon_H14c zenon_Hab zenon_Hd9. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.84/12.02 apply (zenon_L58_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.84/12.02 apply (zenon_L390_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.84/12.02 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.02 apply (zenon_L698_); trivial. % 11.84/12.02 (* end of lemma zenon_L699_ *) % 11.84/12.02 assert (zenon_L700_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e2)) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((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). % 11.84/12.02 do 0 intro. intros zenon_H222 zenon_Hd9 zenon_H8d zenon_H1c3 zenon_H5f zenon_H114 zenon_H28 zenon_H176 zenon_H29 zenon_H19a zenon_H14c zenon_H115 zenon_H217. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.84/12.02 apply (zenon_L120_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.84/12.02 apply (zenon_L417_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.84/12.02 apply (zenon_L397_); trivial. % 11.84/12.02 exact (zenon_H217 zenon_Hac). % 11.84/12.02 (* end of lemma zenon_L700_ *) % 11.84/12.02 assert (zenon_L701_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((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). % 11.84/12.02 do 0 intro. intros zenon_H1ca zenon_Hb4 zenon_Hbe zenon_H59 zenon_H257 zenon_H85 zenon_H222 zenon_Hd9 zenon_H8d zenon_H1c3 zenon_H5f zenon_H28 zenon_H176 zenon_H29 zenon_H19a zenon_H14c zenon_H115 zenon_H217. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.84/12.02 apply (zenon_L122_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.84/12.02 apply (zenon_L391_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.84/12.02 apply (zenon_L392_); trivial. % 11.84/12.02 apply (zenon_L700_); trivial. % 11.84/12.02 (* end of lemma zenon_L701_ *) % 11.84/12.02 assert (zenon_L702_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (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 (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.84/12.02 do 0 intro. intros zenon_H167 zenon_H217 zenon_H115 zenon_H19a zenon_H29 zenon_H176 zenon_H28 zenon_H5f zenon_H1c3 zenon_H8d zenon_H222 zenon_H257 zenon_H59 zenon_Hbe zenon_Hb4 zenon_H1ca zenon_H5b zenon_H163 zenon_H1fb zenon_H239 zenon_H17a zenon_H3c zenon_H85 zenon_H1a4 zenon_Hd9 zenon_H121. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.84/12.02 apply (zenon_L50_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.84/12.02 apply (zenon_L701_); trivial. % 11.84/12.02 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.84/12.02 apply (zenon_L109_); trivial. % 11.84/12.02 apply (zenon_L411_); trivial. % 11.84/12.02 (* end of lemma zenon_L702_ *) % 11.84/12.02 assert (zenon_L703_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((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 (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False). % 11.84/12.03 do 0 intro. intros zenon_H173 zenon_H121 zenon_H1a4 zenon_H85 zenon_H3c zenon_H17a zenon_H239 zenon_H1fb zenon_H163 zenon_H1ca zenon_Hb4 zenon_Hbe zenon_H59 zenon_H257 zenon_H222 zenon_H8d zenon_H1c3 zenon_H5f zenon_H28 zenon_H176 zenon_H19a zenon_H115 zenon_H217 zenon_H167 zenon_H29 zenon_H70 zenon_Hc7 zenon_H81 zenon_Hd9 zenon_H170. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H5b | zenon_intro zenon_H174 ]. % 11.84/12.03 apply (zenon_L702_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H65 | zenon_intro zenon_H175 ]. % 11.84/12.03 apply (zenon_L90_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H5a | zenon_intro zenon_Hd7 ]. % 11.84/12.03 apply (zenon_L54_); trivial. % 11.84/12.03 apply (zenon_L114_); trivial. % 11.84/12.03 (* end of lemma zenon_L703_ *) % 11.84/12.03 assert (zenon_L704_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((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 (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False). % 11.84/12.03 do 0 intro. intros zenon_H233 zenon_H164 zenon_Hd4 zenon_H146 zenon_H212 zenon_H79 zenon_H78 zenon_H173 zenon_H121 zenon_H1a4 zenon_H85 zenon_H3c zenon_H17a zenon_H239 zenon_H1fb zenon_H163 zenon_H1ca zenon_Hb4 zenon_H59 zenon_H257 zenon_H222 zenon_H8d zenon_H1c3 zenon_H5f zenon_H28 zenon_H176 zenon_H19a zenon_H115 zenon_H217 zenon_H167 zenon_H29 zenon_H70 zenon_Hc7 zenon_H81 zenon_Hd9 zenon_H170. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H2f | zenon_intro zenon_H234 ]. % 11.84/12.03 apply (zenon_L195_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H5d | zenon_intro zenon_H235 ]. % 11.84/12.03 apply (zenon_L420_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H5e | zenon_intro zenon_Hbe ]. % 11.84/12.03 apply (zenon_L28_); trivial. % 11.84/12.03 apply (zenon_L703_); trivial. % 11.84/12.03 (* end of lemma zenon_L704_ *) % 11.84/12.03 assert (zenon_L705_ : (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (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 (e1) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.84/12.03 do 0 intro. intros zenon_Hb1 zenon_H170 zenon_Hd9 zenon_H81 zenon_Hc7 zenon_H70 zenon_H29 zenon_H167 zenon_H217 zenon_H115 zenon_H19a zenon_H176 zenon_H28 zenon_H5f zenon_H8d zenon_H222 zenon_H257 zenon_H59 zenon_Hb4 zenon_H1ca zenon_H163 zenon_H1fb zenon_H239 zenon_H17a zenon_H3c zenon_H85 zenon_H1a4 zenon_H121 zenon_H173 zenon_H78 zenon_H79 zenon_H212 zenon_Hd4 zenon_H164 zenon_H233 zenon_H1c3. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H68 | zenon_intro zenon_H19b ]. % 11.84/12.03 apply (zenon_L117_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H19c ]. % 11.84/12.03 apply (zenon_L236_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H146 | zenon_intro zenon_H198 ]. % 11.84/12.03 apply (zenon_L704_); trivial. % 11.84/12.03 exact (zenon_H1c3 zenon_H198). % 11.84/12.03 (* end of lemma zenon_L705_ *) % 11.84/12.03 assert (zenon_L706_ : (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((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 (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e1)) -> False). % 11.84/12.03 do 0 intro. intros zenon_H1bd zenon_H1c3 zenon_H233 zenon_H164 zenon_Hd4 zenon_H212 zenon_H78 zenon_H173 zenon_H121 zenon_H1a4 zenon_H3c zenon_H17a zenon_H239 zenon_H1fb zenon_H163 zenon_H1ca zenon_Hb4 zenon_H59 zenon_H222 zenon_H8d zenon_H28 zenon_H176 zenon_H19a zenon_H115 zenon_H217 zenon_H167 zenon_H29 zenon_H70 zenon_Hc7 zenon_H81 zenon_Hd9 zenon_H170 zenon_Hb1 zenon_H257 zenon_H85 zenon_H5f zenon_H146. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.84/12.03 apply (zenon_L310_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.84/12.03 apply (zenon_L705_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.84/12.03 apply (zenon_L392_); trivial. % 11.84/12.03 apply (zenon_L140_); trivial. % 11.84/12.03 (* end of lemma zenon_L706_ *) % 11.84/12.03 assert (zenon_L707_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((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) (e3)) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.84/12.03 do 0 intro. intros zenon_H1cd zenon_Hbe zenon_H115 zenon_Hb6 zenon_H5f zenon_Hb1 zenon_H19a zenon_H1c7 zenon_H22a zenon_H217 zenon_H1c3 zenon_H14c zenon_Hab zenon_Hd9. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.84/12.03 apply (zenon_L76_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.84/12.03 apply (zenon_L398_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.84/12.03 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.03 apply (zenon_L698_); trivial. % 11.84/12.03 (* end of lemma zenon_L707_ *) % 11.84/12.03 assert (zenon_L708_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e2)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.84/12.03 do 0 intro. intros zenon_H183 zenon_Hd9 zenon_Hab zenon_H1c3 zenon_H217 zenon_H22a zenon_H1c7 zenon_H19a zenon_Hb1 zenon_H5f zenon_Hb6 zenon_H1cd zenon_H146 zenon_H115 zenon_H10d zenon_H10c zenon_H78 zenon_Hbe. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H14c | zenon_intro zenon_H184 ]. % 11.84/12.03 apply (zenon_L707_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H49 | zenon_intro zenon_H185 ]. % 11.84/12.03 apply (zenon_L152_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H79 | zenon_intro zenon_H13b ]. % 11.84/12.03 apply (zenon_L78_); trivial. % 11.84/12.03 apply (zenon_L132_); trivial. % 11.84/12.03 (* end of lemma zenon_L708_ *) % 11.84/12.03 assert (zenon_L709_ : (((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 (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((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)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.84/12.03 do 0 intro. intros zenon_H15a zenon_H81 zenon_Hda zenon_H1cd zenon_Hb1 zenon_H1c7 zenon_H22a zenon_H217 zenon_Hab zenon_Hd9 zenon_H1c3 zenon_H5f zenon_H28 zenon_H1e2 zenon_H176 zenon_H29 zenon_H19a zenon_H183 zenon_H146 zenon_H115 zenon_H10d zenon_H10c zenon_H78 zenon_Hbe. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.84/12.03 apply (zenon_L97_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.84/12.03 apply (zenon_L708_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.84/12.03 apply (zenon_L417_); trivial. % 11.84/12.03 apply (zenon_L153_); trivial. % 11.84/12.03 (* end of lemma zenon_L709_ *) % 11.84/12.03 assert (zenon_L710_ : (((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 (e3) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False). % 11.84/12.03 do 0 intro. intros zenon_H233 zenon_H1be zenon_H33 zenon_H146 zenon_H212 zenon_Hd4 zenon_H10c zenon_H78 zenon_H13b. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H2f | zenon_intro zenon_H234 ]. % 11.84/12.03 apply (zenon_L187_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H5d | zenon_intro zenon_H235 ]. % 11.84/12.03 apply (zenon_L420_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H5e | zenon_intro zenon_Hbe ]. % 11.84/12.03 apply (zenon_L80_); trivial. % 11.84/12.03 apply (zenon_L132_); trivial. % 11.84/12.03 (* end of lemma zenon_L710_ *) % 11.84/12.03 assert (zenon_L711_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (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))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e1)) -> False). % 11.84/12.03 do 0 intro. intros zenon_H1d1 zenon_H10d zenon_H115 zenon_H183 zenon_H5f zenon_H13f zenon_H1c3 zenon_Hd9 zenon_H19a zenon_H15a zenon_H78 zenon_Hd4 zenon_H212 zenon_H33 zenon_H1be zenon_H233 zenon_Hb4 zenon_H10c zenon_Hb1 zenon_H146. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d4 ]. % 11.84/12.03 apply (zenon_L400_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13b | zenon_intro zenon_H1d5 ]. % 11.84/12.03 apply (zenon_L710_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ]. % 11.84/12.03 apply (zenon_L471_); trivial. % 11.84/12.03 apply (zenon_L194_); trivial. % 11.84/12.03 (* end of lemma zenon_L711_ *) % 11.84/12.03 assert (zenon_L712_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((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 (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.84/12.03 do 0 intro. intros zenon_H222 zenon_H2a zenon_Hbe zenon_H29 zenon_H176 zenon_H28 zenon_Hab zenon_H22a zenon_H1c7 zenon_H1cd zenon_Hda zenon_H81 zenon_H146 zenon_Hb1 zenon_H10c zenon_Hb4 zenon_H233 zenon_H1be zenon_H33 zenon_H212 zenon_Hd4 zenon_H78 zenon_H15a zenon_H19a zenon_Hd9 zenon_H1c3 zenon_H5f zenon_H183 zenon_H115 zenon_H10d zenon_H1d1 zenon_H217. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.84/12.03 apply (zenon_L296_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.84/12.03 apply (zenon_L709_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.84/12.03 apply (zenon_L711_); trivial. % 11.84/12.03 exact (zenon_H217 zenon_Hac). % 11.84/12.03 (* end of lemma zenon_L712_ *) % 11.84/12.03 assert (zenon_L713_ : (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (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) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (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))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e1)) -> False). % 11.84/12.03 do 0 intro. intros zenon_H217 zenon_H1d1 zenon_H10d zenon_H115 zenon_H183 zenon_H5f zenon_H1c3 zenon_Hd9 zenon_H19a zenon_H15a zenon_H81 zenon_Hda zenon_H1cd zenon_H1c7 zenon_H22a zenon_Hab zenon_H28 zenon_H176 zenon_H29 zenon_H2a zenon_H222 zenon_H78 zenon_Hd4 zenon_H212 zenon_H33 zenon_H1be zenon_H233 zenon_Hb4 zenon_H10c zenon_Hb1 zenon_H146. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d4 ]. % 11.84/12.03 apply (zenon_L712_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13b | zenon_intro zenon_H1d5 ]. % 11.84/12.03 apply (zenon_L710_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ]. % 11.84/12.03 apply (zenon_L471_); trivial. % 11.84/12.03 apply (zenon_L194_); trivial. % 11.84/12.03 (* end of lemma zenon_L713_ *) % 11.84/12.03 assert (zenon_L714_ : (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((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 (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.84/12.03 do 0 intro. intros zenon_H2e zenon_H158 zenon_H257 zenon_H170 zenon_Hc7 zenon_H70 zenon_H167 zenon_H8d zenon_H59 zenon_H1ca zenon_H163 zenon_H1fb zenon_H239 zenon_H17a zenon_H1a4 zenon_H121 zenon_H173 zenon_H164 zenon_H1bd zenon_Hb1 zenon_Hb4 zenon_H233 zenon_H1be zenon_H33 zenon_H212 zenon_Hd4 zenon_H78 zenon_H222 zenon_H2a zenon_H29 zenon_H176 zenon_H28 zenon_Hab zenon_H22a zenon_H1c7 zenon_H1cd zenon_Hda zenon_H81 zenon_H15a zenon_H19a zenon_Hd9 zenon_H183 zenon_H115 zenon_H10d zenon_H1d1 zenon_H217 zenon_H1c2 zenon_H3c zenon_H34 zenon_H52 zenon_H40 zenon_H5f zenon_H1c3. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.84/12.03 apply (zenon_L58_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.84/12.03 apply (zenon_L405_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.84/12.03 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.03 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H5a | zenon_intro zenon_H15d ]. % 11.84/12.03 apply (zenon_L54_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H85 | zenon_intro zenon_H15e ]. % 11.84/12.03 apply (zenon_L706_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ]. % 11.84/12.03 apply (zenon_L713_); trivial. % 11.84/12.03 apply (zenon_L402_); trivial. % 11.84/12.03 (* end of lemma zenon_L714_ *) % 11.84/12.03 assert (zenon_L715_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((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 (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e2)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (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 (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.84/12.03 do 0 intro. intros zenon_H158 zenon_Hc7 zenon_H81 zenon_H121 zenon_H1a4 zenon_H17a zenon_H239 zenon_H1fb zenon_H146 zenon_Hb1 zenon_Hb4 zenon_H233 zenon_H1be zenon_H33 zenon_H212 zenon_Hd4 zenon_H78 zenon_H15a zenon_H19a zenon_Hd9 zenon_H13f zenon_H183 zenon_H115 zenon_H10d zenon_H1d1 zenon_H1c2 zenon_H3c zenon_H34 zenon_H52 zenon_H40 zenon_H5f zenon_H1c3. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H5a | zenon_intro zenon_H15d ]. % 11.84/12.03 apply (zenon_L54_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H85 | zenon_intro zenon_H15e ]. % 11.84/12.03 apply (zenon_L411_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ]. % 11.84/12.03 apply (zenon_L711_); trivial. % 11.84/12.03 apply (zenon_L402_); trivial. % 11.84/12.03 (* end of lemma zenon_L715_ *) % 11.84/12.03 assert (zenon_L716_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.84/12.03 do 0 intro. intros zenon_H89 zenon_H1bd zenon_H5e zenon_H59 zenon_H2a zenon_H85 zenon_H84 zenon_Hb4 zenon_Hd9. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.84/12.03 apply (zenon_L310_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.84/12.03 apply (zenon_L128_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.84/12.03 apply (zenon_L32_); trivial. % 11.84/12.03 apply (zenon_L149_); trivial. % 11.84/12.03 (* end of lemma zenon_L716_ *) % 11.84/12.03 assert (zenon_L717_ : (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e2))) -> (((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)))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.84/12.03 do 0 intro. intros zenon_H1be zenon_H33 zenon_H4a zenon_H217 zenon_H59 zenon_H19a zenon_H29 zenon_H176 zenon_H28 zenon_H5f zenon_H1c3 zenon_H2a zenon_H222 zenon_H257 zenon_Hb1 zenon_H170 zenon_H81 zenon_Hc7 zenon_H70 zenon_H167 zenon_H115 zenon_H8d zenon_Hb4 zenon_H1ca zenon_H163 zenon_H173 zenon_H78 zenon_H212 zenon_Hd4 zenon_H233 zenon_H89 zenon_H1bd zenon_H84 zenon_H1fb zenon_H239 zenon_H17a zenon_H3c zenon_H85 zenon_H1a4 zenon_Hd9 zenon_H121. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.84/12.03 apply (zenon_L187_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.84/12.03 apply (zenon_L131_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.84/12.03 apply (zenon_L716_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.84/12.03 apply (zenon_L705_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.84/12.03 apply (zenon_L392_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.84/12.03 apply (zenon_L296_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.84/12.03 apply (zenon_L417_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.84/12.03 apply (zenon_L158_); trivial. % 11.84/12.03 exact (zenon_H217 zenon_Hac). % 11.84/12.03 apply (zenon_L411_); trivial. % 11.84/12.03 (* end of lemma zenon_L717_ *) % 11.84/12.03 assert (zenon_L718_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((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). % 11.84/12.03 do 0 intro. intros zenon_H1ca zenon_Hb4 zenon_H5b zenon_H1bd zenon_H89 zenon_H59 zenon_H257 zenon_H85 zenon_H222 zenon_Hd9 zenon_H8d zenon_H1c3 zenon_H5f zenon_H28 zenon_H176 zenon_H29 zenon_H19a zenon_H14c zenon_H115 zenon_H217. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.84/12.03 apply (zenon_L415_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.84/12.03 apply (zenon_L391_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.84/12.03 apply (zenon_L392_); trivial. % 11.84/12.03 apply (zenon_L700_); trivial. % 11.84/12.03 (* end of lemma zenon_L718_ *) % 11.84/12.03 assert (zenon_L719_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (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 (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.84/12.03 do 0 intro. intros zenon_H167 zenon_H1be zenon_H33 zenon_H217 zenon_H115 zenon_H19a zenon_H29 zenon_H176 zenon_H28 zenon_H5f zenon_H1c3 zenon_H8d zenon_H222 zenon_H257 zenon_H59 zenon_H89 zenon_H1bd zenon_Hb4 zenon_H1ca zenon_H5b zenon_H163 zenon_H1fb zenon_H239 zenon_H17a zenon_H3c zenon_H85 zenon_H1a4 zenon_Hd9 zenon_H121. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.84/12.03 apply (zenon_L187_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.84/12.03 apply (zenon_L718_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.84/12.03 apply (zenon_L109_); trivial. % 11.84/12.03 apply (zenon_L411_); trivial. % 11.84/12.03 (* end of lemma zenon_L719_ *) % 11.84/12.03 assert (zenon_L720_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((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 (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False). % 11.84/12.03 do 0 intro. intros zenon_H1db zenon_H215 zenon_H33 zenon_H7e zenon_Hcd zenon_H1be zenon_H4a zenon_Hb1 zenon_H17a zenon_H3c zenon_H233 zenon_H167 zenon_H239 zenon_H1a4 zenon_H121 zenon_H1fb zenon_H163 zenon_H257 zenon_H222 zenon_H217 zenon_H115 zenon_H176 zenon_H29 zenon_H28 zenon_H5f zenon_H19a zenon_H1ca zenon_H8d zenon_H70 zenon_Hc7 zenon_H170 zenon_H173 zenon_H78 zenon_H212 zenon_Hd4 zenon_H1bd zenon_H59 zenon_H84 zenon_H85 zenon_Hb4 zenon_Hd9 zenon_H89 zenon_H1e8. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c3 | zenon_intro zenon_Hb5 ]. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.03 apply (zenon_L291_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.03 apply (zenon_L717_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.03 apply (zenon_L57_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.03 apply (zenon_L716_); trivial. % 11.84/12.03 apply (zenon_L416_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.03 apply (zenon_L719_); trivial. % 11.84/12.03 apply (zenon_L120_); trivial. % 11.84/12.03 apply (zenon_L87_); trivial. % 11.84/12.03 (* end of lemma zenon_L720_ *) % 11.84/12.03 assert (zenon_L721_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e2)) = (e3)) -> ((op (e3) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False). % 11.84/12.03 do 0 intro. intros zenon_H132 zenon_H2a zenon_H43 zenon_H1e9 zenon_H13b zenon_H13f zenon_H130 zenon_H8c. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H12c | zenon_intro zenon_H133 ]. % 11.84/12.03 apply (zenon_L92_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H44 | zenon_intro zenon_H134 ]. % 11.84/12.03 exact (zenon_H1e9 zenon_H44). % 11.84/12.03 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H99 | zenon_intro zenon_H9b ]. % 11.84/12.03 apply (zenon_L101_); trivial. % 11.84/12.03 apply (zenon_L328_); trivial. % 11.84/12.03 (* end of lemma zenon_L721_ *) % 11.84/12.03 assert (zenon_L722_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False). % 11.84/12.03 do 0 intro. intros zenon_H25e zenon_Hd9 zenon_Hab zenon_H145 zenon_Hb6 zenon_H217 zenon_H22a zenon_H17f zenon_H44 zenon_H5a zenon_H84 zenon_Hcd zenon_H8c. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H189 | zenon_intro zenon_H25f ]. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_Hac | zenon_intro zenon_H22b ]. % 11.84/12.03 exact (zenon_H217 zenon_Hac). % 11.84/12.03 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H198 | zenon_intro zenon_H22c ]. % 11.84/12.03 apply (zenon_L284_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H144 | zenon_intro zenon_Hf9 ]. % 11.84/12.03 exact (zenon_H145 zenon_H144). % 11.84/12.03 apply (zenon_L381_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_Haf | zenon_intro zenon_H260 ]. % 11.84/12.03 apply (zenon_L215_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 11.84/12.03 apply (zenon_L32_); trivial. % 11.84/12.03 apply (zenon_L225_); trivial. % 11.84/12.03 (* end of lemma zenon_L722_ *) % 11.84/12.03 assert (zenon_L723_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> False). % 11.84/12.03 do 0 intro. intros zenon_Hb9 zenon_H212 zenon_H5e zenon_H17a zenon_Hb4 zenon_H15a zenon_H96 zenon_H25e zenon_Hd9 zenon_Hab zenon_H145 zenon_H217 zenon_H22a zenon_H17f zenon_H44 zenon_H5a zenon_H84 zenon_Hcd zenon_H8c. % 11.84/12.03 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.84/12.03 apply (zenon_L430_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.84/12.03 exact (zenon_H96 zenon_H99). % 11.84/12.03 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.84/12.03 apply (zenon_L32_); trivial. % 11.84/12.03 apply (zenon_L722_); trivial. % 11.84/12.03 (* end of lemma zenon_L723_ *) % 11.84/12.03 assert (zenon_L724_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((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)) = (e2))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((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). % 11.84/12.03 do 0 intro. intros zenon_H222 zenon_H2a zenon_H176 zenon_He1 zenon_He0 zenon_H212 zenon_H5e zenon_H115 zenon_H49 zenon_H239 zenon_H159 zenon_H145 zenon_H59 zenon_Hb8 zenon_H5f zenon_H170 zenon_H5a zenon_H15a zenon_H217. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.84/12.03 apply (zenon_L296_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.84/12.03 apply (zenon_L439_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.84/12.03 apply (zenon_L440_); trivial. % 11.84/12.03 exact (zenon_H217 zenon_Hac). % 11.84/12.03 (* end of lemma zenon_L724_ *) % 11.84/12.03 assert (zenon_L725_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e3)) = (e0))) -> (((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)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (((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)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> False). % 11.84/12.03 do 0 intro. intros zenon_H19a zenon_H6d zenon_Hda zenon_H217 zenon_H15a zenon_H5a zenon_H170 zenon_H5f zenon_H59 zenon_H145 zenon_H159 zenon_H239 zenon_H5e zenon_H212 zenon_He0 zenon_He1 zenon_H176 zenon_H2a zenon_H222 zenon_H49 zenon_H115 zenon_H189 zenon_Hb6. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H68 | zenon_intro zenon_H19b ]. % 11.84/12.03 apply (zenon_L324_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H19c ]. % 11.84/12.03 apply (zenon_L724_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H146 | zenon_intro zenon_H198 ]. % 11.84/12.03 apply (zenon_L152_); trivial. % 11.84/12.03 apply (zenon_L284_); trivial. % 11.84/12.03 (* end of lemma zenon_L725_ *) % 11.84/12.03 assert (zenon_L726_ : ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((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))) -> (~((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)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.84/12.03 do 0 intro. intros zenon_Hd9 zenon_Hb4 zenon_H189 zenon_H115 zenon_H49 zenon_H222 zenon_H2a zenon_H176 zenon_He1 zenon_He0 zenon_H239 zenon_H159 zenon_H59 zenon_H5f zenon_H170 zenon_H5a zenon_H15a zenon_H217 zenon_Hda zenon_H6d zenon_H19a zenon_H5e zenon_H212 zenon_H145. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.84/12.03 apply (zenon_L149_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.84/12.03 apply (zenon_L725_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.84/12.03 apply (zenon_L429_); trivial. % 11.84/12.03 exact (zenon_H145 zenon_H144). % 11.84/12.03 (* end of lemma zenon_L726_ *) % 11.84/12.03 assert (zenon_L727_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((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). % 11.84/12.03 do 0 intro. intros zenon_H222 zenon_H8d zenon_H155 zenon_Hd9 zenon_H159 zenon_H239 zenon_H49 zenon_H115 zenon_H5e zenon_H212 zenon_He1 zenon_Hb4 zenon_H1d1 zenon_H145 zenon_H59 zenon_Hb8 zenon_H5f zenon_H170 zenon_H5a zenon_H15a zenon_H217. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.84/12.03 apply (zenon_L120_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.84/12.03 apply (zenon_L444_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.84/12.03 apply (zenon_L440_); trivial. % 11.84/12.03 exact (zenon_H217 zenon_Hac). % 11.84/12.03 (* end of lemma zenon_L727_ *) % 11.84/12.03 assert (zenon_L728_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (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 (e0) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((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). % 11.84/12.03 do 0 intro. intros zenon_H166 zenon_H1f zenon_H236 zenon_H189 zenon_H1a4 zenon_H25a zenon_H33 zenon_H215 zenon_H7f zenon_Hda zenon_H19a zenon_H6d zenon_H176 zenon_H2a zenon_H17a zenon_Hb9 zenon_H222 zenon_H8d zenon_H155 zenon_Hd9 zenon_H159 zenon_H239 zenon_H49 zenon_H115 zenon_H5e zenon_H212 zenon_He1 zenon_Hb4 zenon_H1d1 zenon_H145 zenon_H59 zenon_H5f zenon_H170 zenon_H5a zenon_H15a zenon_H217. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.03 apply (zenon_L127_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.03 apply (zenon_L326_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.03 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d4 ]. % 11.84/12.03 apply (zenon_L122_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13b | zenon_intro zenon_H1d5 ]. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.84/12.03 apply (zenon_L120_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.84/12.03 apply (zenon_L443_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.84/12.03 apply (zenon_L457_); trivial. % 11.84/12.03 exact (zenon_H217 zenon_Hac). % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ]. % 11.84/12.03 apply (zenon_L726_); trivial. % 11.84/12.03 apply (zenon_L105_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d4 ]. % 11.84/12.03 apply (zenon_L122_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13b | zenon_intro zenon_H1d5 ]. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.84/12.03 apply (zenon_L296_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.84/12.03 apply (zenon_L443_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.84/12.03 apply (zenon_L101_); trivial. % 11.84/12.03 exact (zenon_H217 zenon_Hac). % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ]. % 11.84/12.03 apply (zenon_L726_); trivial. % 11.84/12.03 apply (zenon_L105_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.84/12.03 apply (zenon_L59_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H68 | zenon_intro zenon_H19b ]. % 11.84/12.03 apply (zenon_L461_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H19c ]. % 11.84/12.03 apply (zenon_L151_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H146 | zenon_intro zenon_H198 ]. % 11.84/12.03 apply (zenon_L152_); trivial. % 11.84/12.03 apply (zenon_L284_); trivial. % 11.84/12.03 apply (zenon_L727_); trivial. % 11.84/12.03 (* end of lemma zenon_L728_ *) % 11.84/12.03 assert (zenon_L729_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e2)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.84/12.03 do 0 intro. intros zenon_H157 zenon_H28 zenon_H217 zenon_H59 zenon_H114 zenon_H25e zenon_H5b zenon_H84 zenon_H17f zenon_H44 zenon_H1aa zenon_H170 zenon_H222 zenon_H5f zenon_H117. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.84/12.03 apply (zenon_L60_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.84/12.03 apply (zenon_L215_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.84/12.03 apply (zenon_L281_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.84/12.03 apply (zenon_L454_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.84/12.03 apply (zenon_L158_); trivial. % 11.84/12.03 exact (zenon_H217 zenon_Hac). % 11.84/12.03 apply (zenon_L107_); trivial. % 11.84/12.03 (* end of lemma zenon_L729_ *) % 11.84/12.03 assert (zenon_L730_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e0)) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.84/12.03 do 0 intro. intros zenon_H204 zenon_H8d zenon_Hc0 zenon_H1dc zenon_H14c zenon_H117 zenon_H59 zenon_H217. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H33 | zenon_intro zenon_H205 ]. % 11.84/12.03 apply (zenon_L267_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H92 | zenon_intro zenon_H206 ]. % 11.84/12.03 apply (zenon_L292_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hac ]. % 11.84/12.03 apply (zenon_L145_); trivial. % 11.84/12.03 exact (zenon_H217 zenon_Hac). % 11.84/12.03 (* end of lemma zenon_L730_ *) % 11.84/12.03 assert (zenon_L731_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.84/12.03 do 0 intro. intros zenon_H22f zenon_H217 zenon_H59 zenon_H14c zenon_H1dc zenon_H8d zenon_H204 zenon_Hb1 zenon_H51 zenon_Hb4 zenon_H117 zenon_Hab zenon_Hd9. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H230 ]. % 11.84/12.03 apply (zenon_L730_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hfa | zenon_intro zenon_H231 ]. % 11.84/12.03 apply (zenon_L172_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H106 | zenon_intro zenon_Hf9 ]. % 11.84/12.03 apply (zenon_L303_); trivial. % 11.84/12.03 apply (zenon_L381_); trivial. % 11.84/12.03 (* end of lemma zenon_L731_ *) % 11.84/12.03 assert (zenon_L732_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.84/12.03 do 0 intro. intros zenon_H22a zenon_H217 zenon_H1c3 zenon_H7c zenon_H197 zenon_H266 zenon_Hb5. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_Hac | zenon_intro zenon_H22b ]. % 11.84/12.03 exact (zenon_H217 zenon_Hac). % 11.84/12.03 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H198 | zenon_intro zenon_H22c ]. % 11.84/12.03 exact (zenon_H1c3 zenon_H198). % 11.84/12.03 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H144 | zenon_intro zenon_Hf9 ]. % 11.84/12.03 apply (zenon_L192_); trivial. % 11.84/12.03 apply (zenon_L561_); trivial. % 11.84/12.03 (* end of lemma zenon_L732_ *) % 11.84/12.03 assert (zenon_L733_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (((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)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (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)))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((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))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False). % 11.84/12.03 do 0 intro. intros zenon_H21c zenon_H121 zenon_H28 zenon_H1e zenon_H7e zenon_H1c3 zenon_H197 zenon_H266 zenon_H22a zenon_H95 zenon_H78 zenon_H8d zenon_H12e zenon_Hb5 zenon_H222 zenon_H176 zenon_Hb1 zenon_H51 zenon_H168 zenon_H59 zenon_H237 zenon_H115 zenon_H1f zenon_H52 zenon_H6a zenon_H262 zenon_H5f zenon_H5a zenon_Hc7 zenon_H2e zenon_H1fe zenon_H132 zenon_H130 zenon_H17f zenon_H166 zenon_Hf7 zenon_Hca. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H217 | zenon_intro zenon_Hd9 ]. % 11.84/12.03 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.03 apply (zenon_L493_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.03 apply (zenon_L54_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.03 apply (zenon_L189_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.03 apply (zenon_L584_); trivial. % 11.84/12.03 apply (zenon_L732_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.03 apply (zenon_L54_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.03 apply (zenon_L601_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.03 apply (zenon_L21_); trivial. % 11.84/12.03 apply (zenon_L732_); trivial. % 11.84/12.03 apply (zenon_L237_); trivial. % 11.84/12.03 apply (zenon_L87_); trivial. % 11.84/12.03 (* end of lemma zenon_L733_ *) % 11.84/12.03 assert (zenon_L734_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.84/12.03 do 0 intro. intros zenon_H222 zenon_H28 zenon_H68 zenon_Hb5 zenon_H8d zenon_H99 zenon_H13b zenon_H217. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.84/12.03 apply (zenon_L24_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.84/12.03 apply (zenon_L226_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.84/12.03 apply (zenon_L101_); trivial. % 11.84/12.03 exact (zenon_H217 zenon_Hac). % 11.84/12.03 (* end of lemma zenon_L734_ *) % 11.84/12.03 assert (zenon_L735_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e0))) -> ((op (e1) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.84/12.03 do 0 intro. intros zenon_H1d1 zenon_Hb1 zenon_H5d zenon_H217 zenon_H99 zenon_H8d zenon_H68 zenon_H28 zenon_H222 zenon_Hb4 zenon_H10c zenon_Hb5 zenon_H239. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Hbe | zenon_intro zenon_H1d4 ]. % 11.84/12.03 apply (zenon_L76_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13b | zenon_intro zenon_H1d5 ]. % 11.84/12.03 apply (zenon_L734_); trivial. % 11.84/12.03 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ]. % 11.84/12.03 apply (zenon_L471_); trivial. % 11.84/12.03 apply (zenon_L339_); trivial. % 11.84/12.03 (* end of lemma zenon_L735_ *) % 11.84/12.03 assert (zenon_L736_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (((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)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False). % 11.84/12.04 do 0 intro. intros zenon_H21c zenon_H222 zenon_H155 zenon_Hda zenon_H170 zenon_H5a zenon_H121 zenon_H21f zenon_Hb5 zenon_H8d zenon_H2a zenon_H176 zenon_H28 zenon_H1d zenon_H7e zenon_H1c3 zenon_H197 zenon_H266 zenon_H22a zenon_H5f zenon_H59 zenon_Hc7 zenon_Hf7 zenon_H51 zenon_Hca. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H217 | zenon_intro zenon_Hd9 ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.04 apply (zenon_L605_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.04 apply (zenon_L11_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.04 apply (zenon_L54_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.04 apply (zenon_L27_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.04 apply (zenon_L21_); trivial. % 11.84/12.04 apply (zenon_L732_); trivial. % 11.84/12.04 apply (zenon_L237_); trivial. % 11.84/12.04 apply (zenon_L87_); trivial. % 11.84/12.04 (* end of lemma zenon_L736_ *) % 11.84/12.04 assert (zenon_L737_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.84/12.04 do 0 intro. intros zenon_H22a zenon_H87 zenon_H65 zenon_H1c3 zenon_H145 zenon_H266 zenon_Hb5. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_Hac | zenon_intro zenon_H22b ]. % 11.84/12.04 apply (zenon_L363_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H198 | zenon_intro zenon_H22c ]. % 11.84/12.04 exact (zenon_H1c3 zenon_H198). % 11.84/12.04 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H144 | zenon_intro zenon_Hf9 ]. % 11.84/12.04 exact (zenon_H145 zenon_H144). % 11.84/12.04 apply (zenon_L561_); trivial. % 11.84/12.04 (* end of lemma zenon_L737_ *) % 11.84/12.04 assert (zenon_L738_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.84/12.04 do 0 intro. intros zenon_H15a zenon_H266 zenon_H1c3 zenon_H65 zenon_H22a zenon_Hb5 zenon_Hb4 zenon_H146 zenon_H5f zenon_H145. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.84/12.04 apply (zenon_L737_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.84/12.04 apply (zenon_L44_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.84/12.04 apply (zenon_L140_); trivial. % 11.84/12.04 exact (zenon_H145 zenon_H144). % 11.84/12.04 (* end of lemma zenon_L738_ *) % 11.84/12.04 assert (zenon_L739_ : (((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)) = (op (e1) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e3)) = (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) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.84/12.04 do 0 intro. intros zenon_H6a zenon_H1f zenon_H3c zenon_H52 zenon_H22a zenon_H1c3 zenon_H266 zenon_H163 zenon_H51 zenon_H1dc zenon_H1cd zenon_H15a zenon_H5f zenon_Hb5 zenon_Hb4 zenon_H5e zenon_H212 zenon_H145. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.04 apply (zenon_L127_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.04 apply (zenon_L17_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.84/12.04 apply (zenon_L21_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.84/12.04 apply (zenon_L219_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.84/12.04 apply (zenon_L299_); trivial. % 11.84/12.04 apply (zenon_L738_); trivial. % 11.84/12.04 apply (zenon_L618_); trivial. % 11.84/12.04 (* end of lemma zenon_L739_ *) % 11.84/12.04 assert (zenon_L740_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.84/12.04 do 0 intro. intros zenon_H22a zenon_H33 zenon_H197 zenon_H1c3 zenon_H145 zenon_H266 zenon_Hb5. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_Hac | zenon_intro zenon_H22b ]. % 11.84/12.04 apply (zenon_L394_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H198 | zenon_intro zenon_H22c ]. % 11.84/12.04 exact (zenon_H1c3 zenon_H198). % 11.84/12.04 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H144 | zenon_intro zenon_Hf9 ]. % 11.84/12.04 exact (zenon_H145 zenon_H144). % 11.84/12.04 apply (zenon_L561_); trivial. % 11.84/12.04 (* end of lemma zenon_L740_ *) % 11.84/12.04 assert (zenon_L741_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.84/12.04 do 0 intro. intros zenon_H166 zenon_H5d zenon_H2e zenon_H51 zenon_H1fe zenon_H1c3 zenon_H15a zenon_H266 zenon_H65 zenon_H22a zenon_Hb4 zenon_H5f zenon_H145 zenon_H1a4 zenon_H115 zenon_H79 zenon_H19a zenon_Hb1 zenon_Hb5. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.04 apply (zenon_L58_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.04 apply (zenon_L259_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H68 | zenon_intro zenon_H19b ]. % 11.84/12.04 apply (zenon_L623_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H19c ]. % 11.84/12.04 apply (zenon_L151_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H146 | zenon_intro zenon_H198 ]. % 11.84/12.04 apply (zenon_L738_); trivial. % 11.84/12.04 exact (zenon_H1c3 zenon_H198). % 11.84/12.04 apply (zenon_L65_); trivial. % 11.84/12.04 (* end of lemma zenon_L741_ *) % 11.84/12.04 assert (zenon_L742_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.84/12.04 do 0 intro. intros zenon_H1cd zenon_Hb1 zenon_H19a zenon_H79 zenon_H115 zenon_H1a4 zenon_H1fe zenon_H2e zenon_H166 zenon_H1dc zenon_H51 zenon_H163 zenon_H15a zenon_H266 zenon_H1c3 zenon_H65 zenon_H22a zenon_Hb5 zenon_Hb4 zenon_H5f zenon_H145. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.84/12.04 apply (zenon_L741_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.84/12.04 apply (zenon_L219_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.84/12.04 apply (zenon_L299_); trivial. % 11.84/12.04 apply (zenon_L738_); trivial. % 11.84/12.04 (* end of lemma zenon_L742_ *) % 11.84/12.04 assert (zenon_L743_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.84/12.04 do 0 intro. intros zenon_H15a zenon_H266 zenon_H1c3 zenon_H65 zenon_H22a zenon_Hb5 zenon_Hb4 zenon_H10c zenon_He1 zenon_H145. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.84/12.04 apply (zenon_L737_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.84/12.04 apply (zenon_L44_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.84/12.04 apply (zenon_L98_); trivial. % 11.84/12.04 exact (zenon_H145 zenon_H144). % 11.84/12.04 (* end of lemma zenon_L743_ *) % 11.84/12.04 assert (zenon_L744_ : (((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)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.84/12.04 do 0 intro. intros zenon_H6a zenon_H1f zenon_H3c zenon_H52 zenon_H51 zenon_H22a zenon_H1c3 zenon_H266 zenon_H15a zenon_H5f zenon_Hb5 zenon_Hb4 zenon_H10c zenon_He1 zenon_H145. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.04 apply (zenon_L127_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.04 apply (zenon_L17_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.04 apply (zenon_L743_); trivial. % 11.84/12.04 apply (zenon_L635_); trivial. % 11.84/12.04 (* end of lemma zenon_L744_ *) % 11.84/12.04 assert (zenon_L745_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (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) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> ((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 (e3) (e1)) = (e3)) -> False). % 11.84/12.04 do 0 intro. intros zenon_H166 zenon_He1 zenon_H15a zenon_H266 zenon_H1c3 zenon_H22a zenon_H52 zenon_H1f zenon_H6a zenon_H1fe zenon_H145 zenon_Hb4 zenon_H51 zenon_H5f zenon_Hc0 zenon_H26a zenon_H10c zenon_H5b zenon_H8d zenon_H1d0 zenon_Hb1 zenon_Hb5. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.04 apply (zenon_L744_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.04 apply (zenon_L259_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.04 apply (zenon_L639_); trivial. % 11.84/12.04 apply (zenon_L65_); trivial. % 11.84/12.04 (* end of lemma zenon_L745_ *) % 11.84/12.04 assert (zenon_L746_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.84/12.04 do 0 intro. intros zenon_H19a zenon_H28 zenon_Hb1 zenon_H145 zenon_H5f zenon_Hb4 zenon_Hb5 zenon_H67 zenon_H59 zenon_H15a zenon_H1c3. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H68 | zenon_intro zenon_H19b ]. % 11.84/12.04 apply (zenon_L24_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H19c ]. % 11.84/12.04 apply (zenon_L65_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H146 | zenon_intro zenon_H198 ]. % 11.84/12.04 apply (zenon_L625_); trivial. % 11.84/12.04 exact (zenon_H1c3 zenon_H198). % 11.84/12.04 (* end of lemma zenon_L746_ *) % 11.84/12.04 assert (zenon_L747_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e2)) = (e0)) -> (((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)) = (op (e1) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (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) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.84/12.04 do 0 intro. intros zenon_H1e8 zenon_H1bd zenon_H10d zenon_H96 zenon_H95 zenon_Hf7 zenon_H51 zenon_H2f zenon_H6a zenon_H1f zenon_H52 zenon_H22a zenon_H266 zenon_H10c zenon_He1 zenon_Hc3 zenon_H17a zenon_H166 zenon_H1fe zenon_H26a zenon_H8d zenon_H1d0 zenon_Hca zenon_H19a zenon_H28 zenon_Hb1 zenon_H145 zenon_H5f zenon_Hb4 zenon_Hb5 zenon_H59 zenon_H15a zenon_H1c3. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.04 apply (zenon_L183_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.04 apply (zenon_L637_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.04 apply (zenon_L49_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.04 apply (zenon_L121_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.04 apply (zenon_L50_); trivial. % 11.84/12.04 apply (zenon_L745_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.04 apply (zenon_L744_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.04 apply (zenon_L53_); trivial. % 11.84/12.04 apply (zenon_L237_); trivial. % 11.84/12.04 apply (zenon_L746_); trivial. % 11.84/12.04 (* end of lemma zenon_L747_ *) % 11.84/12.04 assert (zenon_L748_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (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))))) -> False). % 11.84/12.04 do 0 intro. intros zenon_H25d zenon_H239 zenon_H6a zenon_H5f zenon_H22a zenon_Hb5 zenon_H266 zenon_H1c3 zenon_Hb4 zenon_He1 zenon_H10c zenon_H15a zenon_H51 zenon_H52 zenon_H28 zenon_Hb9 zenon_H257 zenon_H96 zenon_H59 zenon_H1e8 zenon_H19a zenon_Hc3 zenon_H1f zenon_H1fe zenon_H1d0 zenon_H26a zenon_H166 zenon_H8d zenon_H17a zenon_Hb1 zenon_Hf7 zenon_Hca zenon_H10d zenon_H95 zenon_H1bd zenon_H197 zenon_H245. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H145 | zenon_intro zenon_Hdf ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1e | zenon_intro zenon_H24e ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.04 apply (zenon_L493_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.04 apply (zenon_L17_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.04 apply (zenon_L743_); trivial. % 11.84/12.04 apply (zenon_L635_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1d | zenon_intro zenon_H24f ]. % 11.84/12.04 apply (zenon_L636_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H2f | zenon_intro zenon_H33 ]. % 11.84/12.04 apply (zenon_L747_); trivial. % 11.84/12.04 apply (zenon_L740_); trivial. % 11.84/12.04 apply (zenon_L339_); trivial. % 11.84/12.04 (* end of lemma zenon_L748_ *) % 11.84/12.04 assert (zenon_L749_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((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) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False). % 11.84/12.04 do 0 intro. intros zenon_H113 zenon_H1dc zenon_H245 zenon_H197 zenon_H1bd zenon_H95 zenon_H10d zenon_Hca zenon_Hf7 zenon_Hb1 zenon_H17a zenon_H8d zenon_H166 zenon_H26a zenon_H1d0 zenon_H1fe zenon_H1f zenon_Hc3 zenon_H19a zenon_H1e8 zenon_H59 zenon_H257 zenon_Hb9 zenon_H28 zenon_H52 zenon_H51 zenon_H15a zenon_H10c zenon_He1 zenon_Hb4 zenon_H1c3 zenon_H266 zenon_Hb5 zenon_H22a zenon_H5f zenon_H6a zenon_H239 zenon_H25d. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H96 | zenon_intro zenon_H49 ]. % 11.84/12.04 apply (zenon_L748_); trivial. % 11.84/12.04 apply (zenon_L219_); trivial. % 11.84/12.04 (* end of lemma zenon_L749_ *) % 11.84/12.04 assert (zenon_L750_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.84/12.04 do 0 intro. intros zenon_H19a zenon_H6d zenon_Hda zenon_H1a4 zenon_Haf zenon_H114 zenon_H5f zenon_H1c3. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H68 | zenon_intro zenon_H19b ]. % 11.84/12.04 apply (zenon_L324_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H19c ]. % 11.84/12.04 apply (zenon_L151_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H146 | zenon_intro zenon_H198 ]. % 11.84/12.04 apply (zenon_L140_); trivial. % 11.84/12.04 exact (zenon_H1c3 zenon_H198). % 11.84/12.04 (* end of lemma zenon_L750_ *) % 11.84/12.04 assert (zenon_L751_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.84/12.04 do 0 intro. intros zenon_H166 zenon_H1f zenon_H51 zenon_H1fe zenon_H1c3 zenon_H5f zenon_H114 zenon_H1a4 zenon_Hda zenon_H6d zenon_H19a zenon_Hb1 zenon_Hb5. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.04 apply (zenon_L127_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.04 apply (zenon_L259_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.04 apply (zenon_L750_); trivial. % 11.84/12.04 apply (zenon_L65_); trivial. % 11.84/12.04 (* end of lemma zenon_L751_ *) % 11.84/12.04 assert (zenon_L752_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.84/12.04 do 0 intro. intros zenon_H19a zenon_He0 zenon_H163 zenon_H117 zenon_H1b1 zenon_H170 zenon_H1e zenon_Hc7 zenon_H173 zenon_H1a4 zenon_Haf zenon_H114 zenon_H5f zenon_H1c3. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H68 | zenon_intro zenon_H19b ]. % 11.84/12.04 apply (zenon_L651_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H19c ]. % 11.84/12.04 apply (zenon_L151_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H146 | zenon_intro zenon_H198 ]. % 11.84/12.04 apply (zenon_L140_); trivial. % 11.84/12.04 exact (zenon_H1c3 zenon_H198). % 11.84/12.04 (* end of lemma zenon_L752_ *) % 11.84/12.04 assert (zenon_L753_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (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 (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.84/12.04 do 0 intro. intros zenon_Hca zenon_Hb1 zenon_H19a zenon_Hda zenon_H1a4 zenon_H114 zenon_H1c3 zenon_H1fe zenon_H1f zenon_H166 zenon_Hb5 zenon_Hb4 zenon_H117 zenon_H1aa zenon_H96 zenon_H5f zenon_Hb9 zenon_H28 zenon_H2f zenon_H51 zenon_Hf7. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.04 apply (zenon_L751_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.04 apply (zenon_L647_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.04 apply (zenon_L53_); trivial. % 11.84/12.04 apply (zenon_L237_); trivial. % 11.84/12.04 (* end of lemma zenon_L753_ *) % 11.84/12.04 assert (zenon_L754_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False). % 11.84/12.04 do 0 intro. intros zenon_H11f zenon_H261 zenon_H225 zenon_Hca zenon_Hf7 zenon_H89 zenon_H155 zenon_H1b1 zenon_Hc7 zenon_H170 zenon_H163 zenon_H173 zenon_H1d0 zenon_H2e zenon_H7e zenon_H186 zenon_Hd4 zenon_H1c6 zenon_H6a zenon_H1aa zenon_H117 zenon_Hb4 zenon_Hb9 zenon_H1f zenon_H1fe zenon_H51 zenon_H19a zenon_H1c3 zenon_H114 zenon_H5f zenon_H1a4 zenon_Hda zenon_Hb1 zenon_Hb5 zenon_H166 zenon_H59 zenon_H28 zenon_H22f zenon_H266 zenon_H8d zenon_H245 zenon_H1dc zenon_H113. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H7f | zenon_intro zenon_H2f ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H96 | zenon_intro zenon_H49 ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H26d | zenon_intro zenon_H10c ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1e | zenon_intro zenon_H24e ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.04 apply (zenon_L751_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.04 apply (zenon_L647_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.04 apply (zenon_L751_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.04 apply (zenon_L648_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.04 apply (zenon_L58_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.04 apply (zenon_L259_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.84/12.04 apply (zenon_L352_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.84/12.04 apply (zenon_L42_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.84/12.04 apply (zenon_L752_); trivial. % 11.84/12.04 apply (zenon_L303_); trivial. % 11.84/12.04 apply (zenon_L65_); trivial. % 11.84/12.04 apply (zenon_L654_); trivial. % 11.84/12.04 apply (zenon_L237_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1d | zenon_intro zenon_H24f ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.04 apply (zenon_L751_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.04 apply (zenon_L647_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.04 apply (zenon_L655_); trivial. % 11.84/12.04 apply (zenon_L237_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H2f | zenon_intro zenon_H33 ]. % 11.84/12.04 apply (zenon_L753_); trivial. % 11.84/12.04 apply (zenon_L657_); trivial. % 11.84/12.04 apply (zenon_L300_); trivial. % 11.84/12.04 apply (zenon_L219_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H96 | zenon_intro zenon_H49 ]. % 11.84/12.04 apply (zenon_L753_); trivial. % 11.84/12.04 apply (zenon_L219_); trivial. % 11.84/12.04 (* end of lemma zenon_L754_ *) % 11.84/12.04 assert (zenon_L755_ : ((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))))))))\/((((op (e0) (e1)) = (e0))/\(((op (e1) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))))))))\/((((op (e0) (e2)) = (e0))/\(((op (e2) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))))))))\/((((op (e0) (e3)) = (e0))/\(((op (e3) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))))))))\/((((op (e1) (e0)) = (e1))/\(((op (e0) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))))))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))))))))\/((((op (e1) (e2)) = (e1))/\(((op (e2) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))))))))\/((((op (e1) (e3)) = (e1))/\(((op (e3) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))))))))\/((((op (e2) (e0)) = (e2))/\(((op (e0) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))))\/((((op (e2) (e1)) = (e2))/\(((op (e1) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))))\/((((op (e2) (e3)) = (e2))/\(((op (e3) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))))\/((((op (e3) (e0)) = (e3))/\(((op (e0) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))))\/((((op (e3) (e1)) = (e3))/\(((op (e1) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))))\/((((op (e3) (e2)) = (e3))/\(((op (e2) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))))\/(((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))))))))))))))))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((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 (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.84/12.04 do 0 intro. intros zenon_H244 zenon_H78 zenon_H1d1 zenon_H215 zenon_H158 zenon_H262 zenon_H21f zenon_H4a zenon_H168 zenon_H176 zenon_H222 zenon_H204 zenon_H84 zenon_H1e5 zenon_H43 zenon_H1be zenon_H267 zenon_H17f zenon_H130 zenon_H12e zenon_H132 zenon_H34 zenon_H167 zenon_H212 zenon_H1cd zenon_H115 zenon_H22a zenon_He1 zenon_H15a zenon_H52 zenon_H257 zenon_H1e8 zenon_Hc3 zenon_H26a zenon_H17a zenon_H10d zenon_H95 zenon_H1bd zenon_H197 zenon_H1dc zenon_H245 zenon_H8d zenon_H22f zenon_H28 zenon_H59 zenon_H166 zenon_Hda zenon_H1a4 zenon_H5f zenon_H1c3 zenon_H19a zenon_H1fe zenon_H1f zenon_Hb9 zenon_Hb4 zenon_H1aa zenon_H6a zenon_H1c6 zenon_Hd4 zenon_H186 zenon_H7e zenon_H2e zenon_H1d0 zenon_H173 zenon_H163 zenon_H170 zenon_Hc7 zenon_H1b1 zenon_H155 zenon_H89 zenon_Hf7 zenon_Hca zenon_H225 zenon_H121 zenon_Hb1 zenon_H51 zenon_H239 zenon_H266 zenon_Hb5. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H24 | zenon_intro zenon_H246 ]. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H1e. zenon_intro zenon_H25. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H25). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H219. zenon_intro zenon_H218. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21b. zenon_intro zenon_H21a. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21d. zenon_intro zenon_H21c. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H237 | zenon_intro zenon_H29 ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H18c | zenon_intro zenon_H5a ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H217 | zenon_intro zenon_Hd9 ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.04 apply (zenon_L493_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.04 apply (zenon_L493_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.04 apply (zenon_L17_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.04 apply (zenon_L580_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.04 apply (zenon_L189_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.04 apply (zenon_L588_); trivial. % 11.84/12.04 apply (zenon_L732_); trivial. % 11.84/12.04 apply (zenon_L597_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.04 apply (zenon_L493_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.04 apply (zenon_L17_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.04 apply (zenon_L600_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.84/12.04 apply (zenon_L599_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.84/12.04 exact (zenon_H237 zenon_H12c). % 11.84/12.04 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.04 apply (zenon_L58_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.04 apply (zenon_L259_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.84/12.04 apply (zenon_L576_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H5a | zenon_intro zenon_H15d ]. % 11.84/12.04 apply (zenon_L733_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H85 | zenon_intro zenon_H15e ]. % 11.84/12.04 apply (zenon_L59_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ]. % 11.84/12.04 apply (zenon_L735_); trivial. % 11.84/12.04 apply (zenon_L293_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.84/12.04 apply (zenon_L391_); trivial. % 11.84/12.04 apply (zenon_L260_); trivial. % 11.84/12.04 apply (zenon_L65_); trivial. % 11.84/12.04 apply (zenon_L196_); trivial. % 11.84/12.04 apply (zenon_L237_); trivial. % 11.84/12.04 apply (zenon_L87_); trivial. % 11.84/12.04 apply (zenon_L733_); trivial. % 11.84/12.04 apply (zenon_L17_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H2c | zenon_intro zenon_H247 ]. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1d. zenon_intro zenon_H2d. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2a. zenon_intro zenon_H26. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H219. zenon_intro zenon_H218. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21b. zenon_intro zenon_H21a. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21d. zenon_intro zenon_H21c. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H237 | zenon_intro zenon_H29 ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H18c | zenon_intro zenon_H5a ]. % 11.84/12.04 apply (zenon_L603_); trivial. % 11.84/12.04 apply (zenon_L736_); trivial. % 11.84/12.04 apply (zenon_L17_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H31 | zenon_intro zenon_H248 ]. % 11.84/12.04 apply (zenon_L606_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H39 | zenon_intro zenon_H249 ]. % 11.84/12.04 apply (zenon_L614_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H40 | zenon_intro zenon_H24a ]. % 11.84/12.04 apply (zenon_L401_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H47 | zenon_intro zenon_H24b ]. % 11.84/12.04 apply (zenon_L615_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H4f | zenon_intro zenon_H24c ]. % 11.84/12.04 apply (zenon_L616_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H56 | zenon_intro zenon_H24d ]. % 11.84/12.04 apply (zenon_L617_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ee | zenon_intro zenon_H250 ]. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H5a. zenon_intro zenon_H1ef. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H5e. zenon_intro zenon_H11d. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H113. zenon_intro zenon_H120. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H261. zenon_intro zenon_H25d. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H96 | zenon_intro zenon_H49 ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H145 | zenon_intro zenon_Hdf ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1e | zenon_intro zenon_H24e ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.04 apply (zenon_L493_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.04 apply (zenon_L739_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.04 apply (zenon_L21_); trivial. % 11.84/12.04 apply (zenon_L237_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1d | zenon_intro zenon_H24f ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.04 apply (zenon_L620_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.04 apply (zenon_L739_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.04 apply (zenon_L21_); trivial. % 11.84/12.04 apply (zenon_L237_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H2f | zenon_intro zenon_H33 ]. % 11.84/12.04 apply (zenon_L48_); trivial. % 11.84/12.04 apply (zenon_L740_); trivial. % 11.84/12.04 apply (zenon_L339_); trivial. % 11.84/12.04 apply (zenon_L219_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H251 ]. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H85. zenon_intro zenon_H1f1. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H79. zenon_intro zenon_H11d. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H113. zenon_intro zenon_H120. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H261. zenon_intro zenon_H25d. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H145 | zenon_intro zenon_Hdf ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.04 apply (zenon_L602_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.04 apply (zenon_L127_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.04 apply (zenon_L17_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.04 apply (zenon_L742_); trivial. % 11.84/12.04 apply (zenon_L623_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.04 apply (zenon_L602_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.04 apply (zenon_L17_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.04 apply (zenon_L741_); trivial. % 11.84/12.04 apply (zenon_L623_); trivial. % 11.84/12.04 apply (zenon_L237_); trivial. % 11.84/12.04 apply (zenon_L339_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H252 ]. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H10c. zenon_intro zenon_H1f3. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H10c. zenon_intro zenon_H11d. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H113. zenon_intro zenon_H120. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H261. zenon_intro zenon_H25d. % 11.84/12.04 apply (zenon_L749_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H11b | zenon_intro zenon_H253 ]. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H117. zenon_intro zenon_H11c. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H114. zenon_intro zenon_H11d. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H113. zenon_intro zenon_H120. % 11.84/12.04 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H261. zenon_intro zenon_H25d. % 11.84/12.04 apply (zenon_L754_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H126 | zenon_intro zenon_H254 ]. % 11.84/12.04 apply (zenon_L88_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H17d | zenon_intro zenon_H255 ]. % 11.84/12.04 apply (zenon_L173_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ba ]. % 11.84/12.04 apply (zenon_L658_); trivial. % 11.84/12.04 apply (zenon_L659_); trivial. % 11.84/12.04 (* end of lemma zenon_L755_ *) % 11.84/12.04 assert (zenon_L756_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.84/12.04 do 0 intro. intros zenon_H15a zenon_H59 zenon_H67 zenon_H5f zenon_Hb8 zenon_Hdf zenon_Hb4 zenon_H145. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.84/12.04 apply (zenon_L33_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.84/12.04 apply (zenon_L45_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.84/12.04 apply (zenon_L275_); trivial. % 11.84/12.04 exact (zenon_H145 zenon_H144). % 11.84/12.04 (* end of lemma zenon_L756_ *) % 11.84/12.04 assert (zenon_L757_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.84/12.04 do 0 intro. intros zenon_H19a zenon_H28 zenon_H5f zenon_Hb1 zenon_H15a zenon_H59 zenon_H67 zenon_H189 zenon_Hdf zenon_Hb4 zenon_H145. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H68 | zenon_intro zenon_H19b ]. % 11.84/12.04 apply (zenon_L24_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H19c ]. % 11.84/12.04 apply (zenon_L756_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H146 | zenon_intro zenon_H198 ]. % 11.84/12.04 apply (zenon_L194_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.84/12.04 apply (zenon_L33_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.84/12.04 apply (zenon_L284_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.84/12.04 apply (zenon_L275_); trivial. % 11.84/12.04 exact (zenon_H145 zenon_H144). % 11.84/12.04 (* end of lemma zenon_L757_ *) % 11.84/12.04 assert (zenon_L758_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.84/12.04 do 0 intro. intros zenon_H207 zenon_H155 zenon_Hda zenon_H176 zenon_H121 zenon_H1e2 zenon_H21f zenon_H3c zenon_H130 zenon_H225 zenon_H5f zenon_H81 zenon_H1bd zenon_H1ca zenon_H204 zenon_Hdf zenon_H228 zenon_Hb4 zenon_Hb1 zenon_H8d zenon_H22f zenon_H28 zenon_H117 zenon_H59 zenon_H217. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H29 | zenon_intro zenon_H208 ]. % 11.84/12.04 apply (zenon_L297_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H44 | zenon_intro zenon_H209 ]. % 11.84/12.04 apply (zenon_L214_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H49 | zenon_intro zenon_H51 ]. % 11.84/12.04 apply (zenon_L311_); trivial. % 11.84/12.04 apply (zenon_L313_); trivial. % 11.84/12.04 (* end of lemma zenon_L758_ *) % 11.84/12.04 assert (zenon_L759_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.84/12.04 do 0 intro. intros zenon_H19e zenon_H29 zenon_H170 zenon_H217 zenon_H8d zenon_Hdf zenon_H207 zenon_H155 zenon_Hda zenon_H176 zenon_H121 zenon_H21f zenon_H3c zenon_H130 zenon_H225 zenon_H5f zenon_H81 zenon_H1bd zenon_H1ca zenon_H204 zenon_H228 zenon_Hb4 zenon_Hb1 zenon_H22f zenon_H28 zenon_H19a zenon_H15a zenon_H145 zenon_H222 zenon_H18c zenon_H59 zenon_H117. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.84/12.04 apply (zenon_L315_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.84/12.04 apply (zenon_L757_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.84/12.04 apply (zenon_L758_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.84/12.04 apply (zenon_L294_); trivial. % 11.84/12.04 exact (zenon_H217 zenon_Hac). % 11.84/12.04 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.84/12.04 exact (zenon_H18c zenon_H164). % 11.84/12.04 apply (zenon_L145_); trivial. % 11.84/12.04 (* end of lemma zenon_L759_ *) % 11.84/12.04 assert (zenon_L760_ : (((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)))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.84/12.04 do 0 intro. intros zenon_H15a zenon_H81 zenon_Hda zenon_H5f zenon_Hb8 zenon_Hdf zenon_Hb4 zenon_H145. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.84/12.04 apply (zenon_L97_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.84/12.04 apply (zenon_L45_); trivial. % 11.84/12.04 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.84/12.04 apply (zenon_L275_); trivial. % 11.84/12.04 exact (zenon_H145 zenon_H144). % 11.84/12.04 (* end of lemma zenon_L760_ *) % 11.84/12.04 assert (zenon_L761_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.84/12.05 do 0 intro. intros zenon_H166 zenon_H22f zenon_H228 zenon_H204 zenon_H1ca zenon_H1bd zenon_H225 zenon_H130 zenon_H207 zenon_H170 zenon_H43 zenon_H117 zenon_H59 zenon_H18c zenon_H222 zenon_Hb1 zenon_H28 zenon_H19a zenon_H155 zenon_H176 zenon_H29 zenon_H121 zenon_H21f zenon_H8d zenon_H217 zenon_H1d0 zenon_He1 zenon_H19e zenon_H15a zenon_H81 zenon_Hda zenon_H5f zenon_Hdf zenon_Hb4 zenon_H145. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.05 apply (zenon_L759_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.05 apply (zenon_L13_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.84/12.05 apply (zenon_L318_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.84/12.05 apply (zenon_L757_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.84/12.05 apply (zenon_L297_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.84/12.05 apply (zenon_L294_); trivial. % 11.84/12.05 exact (zenon_H217 zenon_Hac). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.84/12.05 exact (zenon_H18c zenon_H164). % 11.84/12.05 apply (zenon_L145_); trivial. % 11.84/12.05 apply (zenon_L760_); trivial. % 11.84/12.05 (* end of lemma zenon_L761_ *) % 11.84/12.05 assert (zenon_L762_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.84/12.05 do 0 intro. intros zenon_H22a zenon_H217 zenon_H63 zenon_H197 zenon_H145 zenon_H228 zenon_Hdf. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_Hac | zenon_intro zenon_H22b ]. % 11.84/12.05 exact (zenon_H217 zenon_Hac). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H198 | zenon_intro zenon_H22c ]. % 11.84/12.05 apply (zenon_L143_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H144 | zenon_intro zenon_Hf9 ]. % 11.84/12.05 exact (zenon_H145 zenon_H144). % 11.84/12.05 apply (zenon_L306_); trivial. % 11.84/12.05 (* end of lemma zenon_L762_ *) % 11.84/12.05 assert (zenon_L763_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> False). % 11.84/12.05 do 0 intro. intros zenon_H1c2 zenon_Hdf zenon_H228 zenon_H145 zenon_H197 zenon_H217 zenon_H22a zenon_H92 zenon_H28 zenon_H117 zenon_H5f zenon_H189 zenon_Hb6. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H63 | zenon_intro zenon_H1c4 ]. % 11.84/12.05 apply (zenon_L762_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H51 | zenon_intro zenon_H1c5 ]. % 11.84/12.05 apply (zenon_L196_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_He8 | zenon_intro zenon_H198 ]. % 11.84/12.05 apply (zenon_L107_); trivial. % 11.84/12.05 apply (zenon_L284_); trivial. % 11.84/12.05 (* end of lemma zenon_L763_ *) % 11.84/12.05 assert (zenon_L764_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e2) (e1)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.84/12.05 do 0 intro. intros zenon_H157 zenon_He1 zenon_H225 zenon_H163 zenon_H18c zenon_H1c6 zenon_H17f zenon_H44 zenon_H217 zenon_H59 zenon_H1c2 zenon_Hdf zenon_H228 zenon_H145 zenon_H197 zenon_H22a zenon_H28 zenon_H189 zenon_Hb6 zenon_H233 zenon_H1be zenon_Hd4 zenon_H1bd zenon_H81 zenon_H212 zenon_H204 zenon_H5f zenon_H117. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.84/12.05 apply (zenon_L301_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.84/12.05 apply (zenon_L215_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H33 | zenon_intro zenon_H205 ]. % 11.84/12.05 apply (zenon_L322_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H92 | zenon_intro zenon_H206 ]. % 11.84/12.05 apply (zenon_L763_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hac ]. % 11.84/12.05 apply (zenon_L145_); trivial. % 11.84/12.05 exact (zenon_H217 zenon_Hac). % 11.84/12.05 apply (zenon_L107_); trivial. % 11.84/12.05 (* end of lemma zenon_L764_ *) % 11.84/12.05 assert (zenon_L765_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e3)) -> ((op (e3) (e1)) = (e0)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.84/12.05 do 0 intro. intros zenon_H157 zenon_He1 zenon_Hdf zenon_H225 zenon_H163 zenon_H18c zenon_H1c6 zenon_Hb1 zenon_Hb0 zenon_H1e2 zenon_H5f zenon_H117. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.84/12.05 apply (zenon_L301_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.84/12.05 apply (zenon_L42_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.84/12.05 apply (zenon_L247_); trivial. % 11.84/12.05 apply (zenon_L107_); trivial. % 11.84/12.05 (* end of lemma zenon_L765_ *) % 11.84/12.05 assert (zenon_L766_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (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 (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.84/12.05 do 0 intro. intros zenon_H222 zenon_H145 zenon_Hb4 zenon_H189 zenon_H59 zenon_H15a zenon_H28 zenon_H19a zenon_H117 zenon_H5f zenon_Hb0 zenon_Hb1 zenon_H1c6 zenon_H18c zenon_H163 zenon_H225 zenon_He1 zenon_H157 zenon_Hdf zenon_H8d zenon_H217. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.84/12.05 apply (zenon_L757_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.84/12.05 apply (zenon_L765_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.84/12.05 apply (zenon_L294_); trivial. % 11.84/12.05 exact (zenon_H217 zenon_Hac). % 11.84/12.05 (* end of lemma zenon_L766_ *) % 11.84/12.05 assert (zenon_L767_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e3) (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 (e3) (e2)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.84/12.05 do 0 intro. intros zenon_H1d0 zenon_H5b zenon_H217 zenon_H8d zenon_H157 zenon_H225 zenon_H163 zenon_H18c zenon_H1c6 zenon_Hb1 zenon_H5f zenon_H19a zenon_H28 zenon_H15a zenon_H59 zenon_H189 zenon_H145 zenon_H222 zenon_He1 zenon_Hdf zenon_H117 zenon_Hb4. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.84/12.05 apply (zenon_L62_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.84/12.05 apply (zenon_L766_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.84/12.05 apply (zenon_L66_); trivial. % 11.84/12.05 apply (zenon_L303_); trivial. % 11.84/12.05 (* end of lemma zenon_L767_ *) % 11.84/12.05 assert (zenon_L768_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.84/12.05 do 0 intro. intros zenon_H222 zenon_H145 zenon_Hb4 zenon_H5f zenon_H59 zenon_H15a zenon_Hb8 zenon_H28 zenon_Hdf zenon_H8d zenon_H217. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.84/12.05 apply (zenon_L756_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.84/12.05 apply (zenon_L264_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.84/12.05 apply (zenon_L294_); trivial. % 11.84/12.05 exact (zenon_H217 zenon_Hac). % 11.84/12.05 (* end of lemma zenon_L768_ *) % 11.84/12.05 assert (zenon_L769_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.84/12.05 do 0 intro. intros zenon_H22a zenon_H67 zenon_Hab zenon_H1c3 zenon_H145 zenon_H228 zenon_Hdf. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_Hac | zenon_intro zenon_H22b ]. % 11.84/12.05 apply (zenon_L41_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H198 | zenon_intro zenon_H22c ]. % 11.84/12.05 exact (zenon_H1c3 zenon_H198). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H144 | zenon_intro zenon_Hf9 ]. % 11.84/12.05 exact (zenon_H145 zenon_H144). % 11.84/12.05 apply (zenon_L306_); trivial. % 11.84/12.05 (* end of lemma zenon_L769_ *) % 11.84/12.05 assert (zenon_L770_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.84/12.05 do 0 intro. intros zenon_H222 zenon_H228 zenon_H1c3 zenon_Hab zenon_H22a zenon_H28 zenon_H8d zenon_H15a zenon_H65 zenon_H5f zenon_Hb8 zenon_Hdf zenon_Hb4 zenon_H145. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.84/12.05 apply (zenon_L769_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.84/12.05 apply (zenon_L264_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.84/12.05 apply (zenon_L294_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.84/12.05 apply (zenon_L363_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.84/12.05 apply (zenon_L45_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.84/12.05 apply (zenon_L275_); trivial. % 11.84/12.05 exact (zenon_H145 zenon_H144). % 11.84/12.05 (* end of lemma zenon_L770_ *) % 11.84/12.05 assert (zenon_L771_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> False). % 11.84/12.05 do 0 intro. intros zenon_H1db zenon_H239 zenon_H222 zenon_H5f zenon_Hb4 zenon_H15a zenon_H8d zenon_Hb8 zenon_H28 zenon_Hab zenon_H145 zenon_H228 zenon_Hdf zenon_H22a zenon_H1a4 zenon_H1c7 zenon_H117 zenon_H157. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c3 | zenon_intro zenon_Hb5 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.84/12.05 apply (zenon_L770_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.84/12.05 apply (zenon_L151_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.84/12.05 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.05 apply (zenon_L107_); trivial. % 11.84/12.05 apply (zenon_L339_); trivial. % 11.84/12.05 (* end of lemma zenon_L771_ *) % 11.84/12.05 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H25a. zenon_intro zenon_H26e. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H267. zenon_intro zenon_H26f. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H233. zenon_intro zenon_H270. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H272. zenon_intro zenon_H271. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H274. zenon_intro zenon_H273. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H273). zenon_intro zenon_H132. zenon_intro zenon_H275. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H183. zenon_intro zenon_H276. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H100. zenon_intro zenon_H277. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H173. zenon_intro zenon_H278. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H25e. zenon_intro zenon_H279. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H1c6. zenon_intro zenon_H27a. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H1ac. zenon_intro zenon_H27b. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H21f. zenon_intro zenon_H27c. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H1fb. zenon_intro zenon_H27d. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H159. zenon_intro zenon_H22a. % 11.84/12.05 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H245. zenon_intro zenon_H27e. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H1e8. zenon_intro zenon_H27f. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_Hca. zenon_intro zenon_H280. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H6a. zenon_intro zenon_H281. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H7e. zenon_intro zenon_H282. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H89. zenon_intro zenon_H283. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_Hc3. zenon_intro zenon_H284. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H19f. zenon_intro zenon_H285. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H262. zenon_intro zenon_H286. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H1e5. zenon_intro zenon_H287. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H207. zenon_intro zenon_H288. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H166. zenon_intro zenon_H289. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H95. zenon_intro zenon_H28a. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Hb9. zenon_intro zenon_H28b. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H168. zenon_intro zenon_H28c. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H128. zenon_intro zenon_H28d. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H19e. zenon_intro zenon_H28e. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H167. zenon_intro zenon_H28f. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H157. zenon_intro zenon_H290. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H1cd. zenon_intro zenon_H291. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H158. zenon_intro zenon_H292. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1ca. zenon_intro zenon_H293. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H1d0. zenon_intro zenon_H294. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H1d1. zenon_intro zenon_H295. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H222. zenon_intro zenon_H296. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H204. zenon_intro zenon_H297. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H19a. zenon_intro zenon_H298. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H1c2. zenon_intro zenon_H299. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H15a. zenon_intro zenon_H29a. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H26a. zenon_intro zenon_H29b. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H103. zenon_intro zenon_H22f. % 11.84/12.05 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H108. zenon_intro zenon_H29c. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_Hc7. zenon_intro zenon_H29d. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_Hda. zenon_intro zenon_H29e. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H70. zenon_intro zenon_H29f. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H176. zenon_intro zenon_H2a0. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H170. zenon_intro zenon_H2a1. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H130. zenon_intro zenon_H2a2. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_Hcd. zenon_intro zenon_H2a3. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H17a. zenon_intro zenon_H2a4. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H17f. zenon_intro zenon_H2a5. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H12e. zenon_intro zenon_H2a6. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a4. zenon_intro zenon_H2a7. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H78. zenon_intro zenon_H2a8. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_Hd4. zenon_intro zenon_H2a9. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H212. zenon_intro zenon_H2aa. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H10d. zenon_intro zenon_H2ab. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H115. zenon_intro zenon_H2ac. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_He1. zenon_intro zenon_H2ad. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_Hf7. zenon_intro zenon_H2ae. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H186. zenon_intro zenon_H2af. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H197. zenon_intro zenon_H2b0. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_Hf5. zenon_intro zenon_H2b1. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_Hfb. zenon_intro zenon_H2b2. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H196. zenon_intro zenon_H2b3. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H1f. zenon_intro zenon_H2b4. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1bd. zenon_intro zenon_H2b5. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H215. zenon_intro zenon_H2b6. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2e. zenon_intro zenon_H2b7. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H34. zenon_intro zenon_H2b8. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H1be. zenon_intro zenon_H2b9. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H43. zenon_intro zenon_H2ba. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H4a. zenon_intro zenon_H2bb. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H52. zenon_intro zenon_H2bc. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H236. zenon_intro zenon_H2bd. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H1fe. zenon_intro zenon_H2be. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H1dc. zenon_intro zenon_H2bf. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H84. zenon_intro zenon_H2c0. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H163. zenon_intro zenon_H2c1. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H1b1. zenon_intro zenon_H2c2. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H257. zenon_intro zenon_H2c3. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H1aa. zenon_intro zenon_H2c4. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H225. zenon_intro zenon_H2c5. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H121. zenon_intro zenon_H2c6. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H155. zenon_intro zenon_H2c7. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_Hab. zenon_intro zenon_H2c8. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_H239. zenon_intro zenon_H2c9. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H266. zenon_intro zenon_H228. % 11.84/12.05 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H28. zenon_intro zenon_H2ca. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H59. zenon_intro zenon_H2cb. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H8d. zenon_intro zenon_H2cc. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H5f. zenon_intro zenon_H2cd. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_Hb1. zenon_intro zenon_Hb4. % 11.84/12.05 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H2ce. zenon_intro zenon_H244. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H2cf ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H1e. zenon_intro zenon_H2d1. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H2d2. zenon_intro zenon_H1e. % 11.84/12.05 exact (zenon_H2d2 zenon_H1e). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H2d3 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H1d. zenon_intro zenon_H2d5. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H6b. zenon_intro zenon_H29. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H24 | zenon_intro zenon_H246 ]. % 11.84/12.05 apply (zenon_L2_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H2c | zenon_intro zenon_H247 ]. % 11.84/12.05 apply (zenon_L5_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H31 | zenon_intro zenon_H248 ]. % 11.84/12.05 apply (zenon_L7_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H39 | zenon_intro zenon_H249 ]. % 11.84/12.05 apply (zenon_L9_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H40 | zenon_intro zenon_H24a ]. % 11.84/12.05 apply (zenon_L12_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H47 | zenon_intro zenon_H24b ]. % 11.84/12.05 apply (zenon_L14_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H4f | zenon_intro zenon_H24c ]. % 11.84/12.05 apply (zenon_L16_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H56 | zenon_intro zenon_H24d ]. % 11.84/12.05 apply (zenon_L18_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ee | zenon_intro zenon_H250 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H5a. zenon_intro zenon_H1ef. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H5e. zenon_intro zenon_H11d. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H113. zenon_intro zenon_H120. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H7f | zenon_intro zenon_H2f ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H96 | zenon_intro zenon_H49 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L1_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_L4_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_L20_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 exact (zenon_H6b zenon_H6d). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L11_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L21_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.05 apply (zenon_L22_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.05 apply (zenon_L25_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.84/12.05 apply (zenon_L26_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.84/12.05 exact (zenon_H96 zenon_H99). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.84/12.05 apply (zenon_L30_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.84/12.05 apply (zenon_L27_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.84/12.05 exact (zenon_H96 zenon_H99). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.84/12.05 apply (zenon_L34_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.84/12.05 apply (zenon_L35_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H33 | zenon_intro zenon_H205 ]. % 11.84/12.05 apply (zenon_L8_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H92 | zenon_intro zenon_H206 ]. % 11.84/12.05 apply (zenon_L37_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hac ]. % 11.84/12.05 apply (zenon_L40_); trivial. % 11.84/12.05 apply (zenon_L41_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.84/12.05 apply (zenon_L42_); trivial. % 11.84/12.05 apply (zenon_L44_); trivial. % 11.84/12.05 apply (zenon_L46_); trivial. % 11.84/12.05 apply (zenon_L15_); trivial. % 11.84/12.05 apply (zenon_L56_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H251 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H85. zenon_intro zenon_H1f1. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H79. zenon_intro zenon_H11d. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H7f | zenon_intro zenon_H2f ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L1_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_L4_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 exact (zenon_H6b zenon_H6d). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L11_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 exact (zenon_H7f zenon_H81). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L57_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L28_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.05 apply (zenon_L58_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.05 apply (zenon_L13_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.05 apply (zenon_L59_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.84/12.05 apply (zenon_L60_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.84/12.05 apply (zenon_L59_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.84/12.05 apply (zenon_L61_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.84/12.05 apply (zenon_L62_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.84/12.05 apply (zenon_L63_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.84/12.05 apply (zenon_L74_); trivial. % 11.84/12.05 apply (zenon_L75_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.05 apply (zenon_L35_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.05 apply (zenon_L76_); trivial. % 11.84/12.05 apply (zenon_L51_); trivial. % 11.84/12.05 apply (zenon_L30_); trivial. % 11.84/12.05 apply (zenon_L34_); trivial. % 11.84/12.05 apply (zenon_L6_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H252 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H10c. zenon_intro zenon_H1f3. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H10c. zenon_intro zenon_H11d. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H113. zenon_intro zenon_H120. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H7f | zenon_intro zenon_H2f ]. % 11.84/12.05 apply (zenon_L82_); trivial. % 11.84/12.05 apply (zenon_L6_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H11b | zenon_intro zenon_H253 ]. % 11.84/12.05 apply (zenon_L86_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H126 | zenon_intro zenon_H254 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hd9. zenon_intro zenon_H127. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hc0. zenon_intro zenon_H1b0. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1b9. zenon_intro zenon_H1bc. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9c | zenon_intro zenon_H51 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L1_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_L116_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 exact (zenon_H6b zenon_H6d). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L11_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.05 apply (zenon_L58_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.05 apply (zenon_L118_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.05 apply (zenon_L89_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.84/12.05 apply (zenon_L27_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.84/12.05 apply (zenon_L119_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.84/12.05 exact (zenon_H9c zenon_H9b). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.84/12.05 apply (zenon_L35_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.84/12.05 exact (zenon_H9c zenon_H9b). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.84/12.05 apply (zenon_L53_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.84/12.05 apply (zenon_L108_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.84/12.05 apply (zenon_L109_); trivial. % 11.84/12.05 apply (zenon_L101_); trivial. % 11.84/12.05 apply (zenon_L65_); trivial. % 11.84/12.05 apply (zenon_L111_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.84/12.05 apply (zenon_L91_); trivial. % 11.84/12.05 apply (zenon_L45_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L27_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L21_); trivial. % 11.84/12.05 apply (zenon_L51_); trivial. % 11.84/12.05 apply (zenon_L115_); trivial. % 11.84/12.05 apply (zenon_L120_); trivial. % 11.84/12.05 apply (zenon_L17_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H17d | zenon_intro zenon_H255 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_Hb5. zenon_intro zenon_H17e. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Hfa. zenon_intro zenon_H1b0. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1b9. zenon_intro zenon_H1bc. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H33 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9c | zenon_intro zenon_H51 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L1_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_L161_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_L150_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 exact (zenon_H6b zenon_H6d). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L11_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L135_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.05 exact (zenon_Hbd zenon_Hbc). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.05 apply (zenon_L35_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hbc | zenon_intro zenon_H1a0 ]. % 11.84/12.05 exact (zenon_Hbd zenon_Hbc). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H135 | zenon_intro zenon_H1a1 ]. % 11.84/12.05 apply (zenon_L126_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd9 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.05 apply (zenon_L11_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.05 apply (zenon_L13_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.84/12.05 apply (zenon_L31_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.84/12.05 apply (zenon_L62_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.84/12.05 apply (zenon_L136_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.84/12.05 apply (zenon_L163_); trivial. % 11.84/12.05 apply (zenon_L165_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.84/12.05 apply (zenon_L148_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.84/12.05 apply (zenon_L27_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.84/12.05 apply (zenon_L170_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.84/12.05 apply (zenon_L59_); trivial. % 11.84/12.05 apply (zenon_L171_); trivial. % 11.84/12.05 apply (zenon_L65_); trivial. % 11.84/12.05 apply (zenon_L125_); trivial. % 11.84/12.05 apply (zenon_L115_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L27_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L146_); trivial. % 11.84/12.05 apply (zenon_L29_); trivial. % 11.84/12.05 apply (zenon_L173_); trivial. % 11.84/12.05 apply (zenon_L8_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ba ]. % 11.84/12.05 apply (zenon_L177_); trivial. % 11.84/12.05 apply (zenon_L182_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2d6 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H2f. zenon_intro zenon_H2d8. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H7f. zenon_intro zenon_H5a. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H24 | zenon_intro zenon_H246 ]. % 11.84/12.05 apply (zenon_L184_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H2c | zenon_intro zenon_H247 ]. % 11.84/12.05 apply (zenon_L185_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H31 | zenon_intro zenon_H248 ]. % 11.84/12.05 apply (zenon_L186_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H39 | zenon_intro zenon_H249 ]. % 11.84/12.05 apply (zenon_L188_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H40 | zenon_intro zenon_H24a ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H29. zenon_intro zenon_H41. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H3c. zenon_intro zenon_H42. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1da. zenon_intro zenon_H1d9. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1d6. zenon_intro zenon_H1db. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H85 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c3 | zenon_intro zenon_Hb5 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L183_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_L4_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_L20_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 exact (zenon_H7f zenon_H81). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L189_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L48_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.84/12.05 apply (zenon_L20_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.84/12.05 apply (zenon_L90_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.84/12.05 apply (zenon_L136_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.84/12.05 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.05 apply (zenon_L206_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.84/12.05 apply (zenon_L195_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.84/12.05 apply (zenon_L23_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.84/12.05 apply (zenon_L209_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.84/12.05 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.05 apply (zenon_L206_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.05 apply (zenon_L210_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.05 apply (zenon_L50_); trivial. % 11.84/12.05 apply (zenon_L51_); trivial. % 11.84/12.05 apply (zenon_L213_); trivial. % 11.84/12.05 apply (zenon_L32_); trivial. % 11.84/12.05 apply (zenon_L12_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H47 | zenon_intro zenon_H24b ]. % 11.84/12.05 apply (zenon_L218_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H4f | zenon_intro zenon_H24c ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H49. zenon_intro zenon_H50. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_Haf. zenon_intro zenon_H42. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1da. zenon_intro zenon_H1d9. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1d6. zenon_intro zenon_H1db. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H44 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H85 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c3 | zenon_intro zenon_Hb5 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L183_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 exact (zenon_H6b zenon_H6d). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 exact (zenon_H7f zenon_H81). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L189_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L48_); trivial. % 11.84/12.05 apply (zenon_L220_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L221_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.05 exact (zenon_H6b zenon_H6d). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.05 apply (zenon_L4_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.05 apply (zenon_L223_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 exact (zenon_H7f zenon_H81). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.84/12.05 apply (zenon_L27_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.84/12.05 apply (zenon_L92_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.84/12.05 apply (zenon_L136_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.84/12.05 apply (zenon_L26_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.84/12.05 apply (zenon_L94_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.84/12.05 apply (zenon_L224_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.84/12.05 apply (zenon_L96_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.84/12.05 apply (zenon_L20_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.84/12.05 apply (zenon_L136_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.84/12.05 apply (zenon_L195_); trivial. % 11.84/12.05 apply (zenon_L40_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.84/12.05 apply (zenon_L191_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.84/12.05 apply (zenon_L228_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.84/12.05 apply (zenon_L20_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.84/12.05 apply (zenon_L231_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.84/12.05 apply (zenon_L195_); trivial. % 11.84/12.05 apply (zenon_L40_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.84/12.05 apply (zenon_L42_); trivial. % 11.84/12.05 apply (zenon_L226_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L48_); trivial. % 11.84/12.05 apply (zenon_L29_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_L20_); trivial. % 11.84/12.05 apply (zenon_L190_); trivial. % 11.84/12.05 apply (zenon_L234_); trivial. % 11.84/12.05 apply (zenon_L59_); trivial. % 11.84/12.05 apply (zenon_L217_); trivial. % 11.84/12.05 apply (zenon_L235_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H56 | zenon_intro zenon_H24d ]. % 11.84/12.05 apply (zenon_L238_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ee | zenon_intro zenon_H250 ]. % 11.84/12.05 apply (zenon_L239_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H251 ]. % 11.84/12.05 apply (zenon_L240_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H252 ]. % 11.84/12.05 apply (zenon_L241_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H11b | zenon_intro zenon_H253 ]. % 11.84/12.05 apply (zenon_L242_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H126 | zenon_intro zenon_H254 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hd9. zenon_intro zenon_H127. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hc0. zenon_intro zenon_H1b0. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1b9. zenon_intro zenon_H1bc. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H201. zenon_intro zenon_H2d9. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H33 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9c | zenon_intro zenon_H51 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_He7 | zenon_intro zenon_H117 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L183_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 exact (zenon_H7f zenon_H81). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.84/12.05 apply (zenon_L56_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.84/12.05 apply (zenon_L92_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H29 | zenon_intro zenon_H208 ]. % 11.84/12.05 apply (zenon_L4_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H44 | zenon_intro zenon_H209 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.84/12.05 apply (zenon_L253_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.84/12.05 exact (zenon_H9c zenon_H9b). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.84/12.05 apply (zenon_L254_); trivial. % 11.84/12.05 apply (zenon_L87_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H49 | zenon_intro zenon_H51 ]. % 11.84/12.05 apply (zenon_L257_); trivial. % 11.84/12.05 apply (zenon_L261_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H29 | zenon_intro zenon_H208 ]. % 11.84/12.05 apply (zenon_L77_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H44 | zenon_intro zenon_H209 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.84/12.05 apply (zenon_L263_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.84/12.05 exact (zenon_H9c zenon_H9b). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.84/12.05 apply (zenon_L254_); trivial. % 11.84/12.05 apply (zenon_L88_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H49 | zenon_intro zenon_H51 ]. % 11.84/12.05 apply (zenon_L255_); trivial. % 11.84/12.05 apply (zenon_L265_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L48_); trivial. % 11.84/12.05 apply (zenon_L51_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L258_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L53_); trivial. % 11.84/12.05 apply (zenon_L115_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_L20_); trivial. % 11.84/12.05 apply (zenon_L120_); trivial. % 11.84/12.05 apply (zenon_L229_); trivial. % 11.84/12.05 apply (zenon_L266_); trivial. % 11.84/12.05 apply (zenon_L268_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H17d | zenon_intro zenon_H255 ]. % 11.84/12.05 apply (zenon_L271_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ba ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Hdf. zenon_intro zenon_H1b4. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H106. zenon_intro zenon_H1b0. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1b9. zenon_intro zenon_H1bc. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H201. zenon_intro zenon_H2d9. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H33 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_He7 | zenon_intro zenon_H117 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L183_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_L272_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_L20_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 exact (zenon_H7f zenon_H81). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L280_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L48_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.05 exact (zenon_Hbd zenon_Hbc). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H29 | zenon_intro zenon_H208 ]. % 11.84/12.05 apply (zenon_L176_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H44 | zenon_intro zenon_H209 ]. % 11.84/12.05 apply (zenon_L288_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H49 | zenon_intro zenon_H51 ]. % 11.84/12.05 apply (zenon_L276_); trivial. % 11.84/12.05 apply (zenon_L289_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.05 apply (zenon_L290_); trivial. % 11.84/12.05 apply (zenon_L243_); trivial. % 11.84/12.05 apply (zenon_L380_); trivial. % 11.84/12.05 apply (zenon_L187_); trivial. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hf9. zenon_intro zenon_H1bb. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hf9. zenon_intro zenon_H1b0. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1b9. zenon_intro zenon_H1bc. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H201. zenon_intro zenon_H2d9. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H33 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_He7 | zenon_intro zenon_H117 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L183_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_L382_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_L20_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 exact (zenon_H7f zenon_H81). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L386_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L48_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.05 exact (zenon_Hbd zenon_Hbc). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H29 | zenon_intro zenon_H208 ]. % 11.84/12.05 apply (zenon_L164_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H44 | zenon_intro zenon_H209 ]. % 11.84/12.05 apply (zenon_L288_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H49 | zenon_intro zenon_H51 ]. % 11.84/12.05 apply (zenon_L383_); trivial. % 11.84/12.05 apply (zenon_L385_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.05 apply (zenon_L50_); trivial. % 11.84/12.05 apply (zenon_L51_); trivial. % 11.84/12.05 apply (zenon_L229_); trivial. % 11.84/12.05 apply (zenon_L187_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2db | zenon_intro zenon_H2da ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H33. zenon_intro zenon_H2dc. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Hbd. zenon_intro zenon_Hd9. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H24 | zenon_intro zenon_H246 ]. % 11.84/12.05 apply (zenon_L387_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H2c | zenon_intro zenon_H247 ]. % 11.84/12.05 apply (zenon_L388_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H31 | zenon_intro zenon_H248 ]. % 11.84/12.05 apply (zenon_L389_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H39 | zenon_intro zenon_H249 ]. % 11.84/12.05 apply (zenon_L336_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H40 | zenon_intro zenon_H24a ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H29. zenon_intro zenon_H41. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H3c. zenon_intro zenon_H42. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1da. zenon_intro zenon_H1d9. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1d6. zenon_intro zenon_H1db. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H85 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c3 | zenon_intro zenon_Hb5 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L291_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_L4_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.05 exact (zenon_Hbd zenon_Hbc). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.05 apply (zenon_L210_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.84/12.05 apply (zenon_L50_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.84/12.05 apply (zenon_L404_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.84/12.05 apply (zenon_L109_); trivial. % 11.84/12.05 apply (zenon_L414_); trivial. % 11.84/12.05 apply (zenon_L267_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L189_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L415_); trivial. % 11.84/12.05 apply (zenon_L416_); trivial. % 11.84/12.05 apply (zenon_L120_); trivial. % 11.84/12.05 apply (zenon_L87_); trivial. % 11.84/12.05 apply (zenon_L419_); trivial. % 11.84/12.05 apply (zenon_L11_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H47 | zenon_intro zenon_H24b ]. % 11.84/12.05 apply (zenon_L422_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H4f | zenon_intro zenon_H24c ]. % 11.84/12.05 apply (zenon_L423_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H56 | zenon_intro zenon_H24d ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H51. zenon_intro zenon_H57. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Hb8. zenon_intro zenon_H42. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L291_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 exact (zenon_H6b zenon_H6d). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L236_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.05 exact (zenon_H6b zenon_H6d). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.05 apply (zenon_L18_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.05 exact (zenon_Hbd zenon_Hbc). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.84/12.05 apply (zenon_L35_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.84/12.05 apply (zenon_L92_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.84/12.05 apply (zenon_L128_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.84/12.05 apply (zenon_L96_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.84/12.05 apply (zenon_L328_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.84/12.05 apply (zenon_L120_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.84/12.05 apply (zenon_L264_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.84/12.05 apply (zenon_L101_); trivial. % 11.84/12.05 apply (zenon_L394_); trivial. % 11.84/12.05 apply (zenon_L172_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.84/12.05 apply (zenon_L425_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H5a | zenon_intro zenon_H15d ]. % 11.84/12.05 apply (zenon_L54_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H85 | zenon_intro zenon_H15e ]. % 11.84/12.05 apply (zenon_L130_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H10c | zenon_intro zenon_H117 ]. % 11.84/12.05 apply (zenon_L78_); trivial. % 11.84/12.05 apply (zenon_L424_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.84/12.05 apply (zenon_L426_); trivial. % 11.84/12.05 apply (zenon_L45_); trivial. % 11.84/12.05 apply (zenon_L260_); trivial. % 11.84/12.05 apply (zenon_L264_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.05 apply (zenon_L76_); trivial. % 11.84/12.05 apply (zenon_L267_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.84/12.05 apply (zenon_L128_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.84/12.05 apply (zenon_L94_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.84/12.05 apply (zenon_L425_); trivial. % 11.84/12.05 apply (zenon_L260_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L427_); trivial. % 11.84/12.05 apply (zenon_L416_); trivial. % 11.84/12.05 apply (zenon_L117_); trivial. % 11.84/12.05 apply (zenon_L335_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_L428_); trivial. % 11.84/12.05 apply (zenon_L120_); trivial. % 11.84/12.05 apply (zenon_L8_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ee | zenon_intro zenon_H250 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H5a. zenon_intro zenon_H1ef. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H5e. zenon_intro zenon_H11d. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H113. zenon_intro zenon_H120. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H261. zenon_intro zenon_H25d. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H7f | zenon_intro zenon_H2f ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H96 | zenon_intro zenon_H49 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H145 | zenon_intro zenon_Hdf ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L291_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.05 exact (zenon_Hbd zenon_Hbc). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.84/12.05 apply (zenon_L35_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.84/12.05 apply (zenon_L92_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.84/12.05 apply (zenon_L430_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.84/12.05 exact (zenon_H96 zenon_H99). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.84/12.05 apply (zenon_L426_); trivial. % 11.84/12.05 apply (zenon_L431_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H29 | zenon_intro zenon_H208 ]. % 11.84/12.05 apply (zenon_L432_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H44 | zenon_intro zenon_H209 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.84/12.05 apply (zenon_L26_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.84/12.05 exact (zenon_H96 zenon_H99). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.84/12.05 apply (zenon_L434_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.84/12.05 apply (zenon_L430_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.84/12.05 exact (zenon_H96 zenon_H99). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.84/12.05 apply (zenon_L32_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.84/12.05 apply (zenon_L23_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.84/12.05 apply (zenon_L215_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H63 | zenon_intro zenon_H1c4 ]. % 11.84/12.05 apply (zenon_L335_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H51 | zenon_intro zenon_H1c5 ]. % 11.84/12.05 apply (zenon_L260_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_He8 | zenon_intro zenon_H198 ]. % 11.84/12.05 apply (zenon_L435_); trivial. % 11.84/12.05 apply (zenon_L437_); trivial. % 11.84/12.05 apply (zenon_L435_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H49 | zenon_intro zenon_H51 ]. % 11.84/12.05 apply (zenon_L445_); trivial. % 11.84/12.05 apply (zenon_L446_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.05 apply (zenon_L122_); trivial. % 11.84/12.05 apply (zenon_L267_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L447_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L21_); trivial. % 11.84/12.05 apply (zenon_L335_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_L20_); trivial. % 11.84/12.05 apply (zenon_L120_); trivial. % 11.84/12.05 apply (zenon_L105_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H145 | zenon_intro zenon_Hdf ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L291_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_L445_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_L20_); trivial. % 11.84/12.05 apply (zenon_L120_); trivial. % 11.84/12.05 apply (zenon_L105_); trivial. % 11.84/12.05 apply (zenon_L48_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H251 ]. % 11.84/12.05 apply (zenon_L448_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H252 ]. % 11.84/12.05 apply (zenon_L451_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H11b | zenon_intro zenon_H253 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H117. zenon_intro zenon_H11c. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H114. zenon_intro zenon_H11d. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H113. zenon_intro zenon_H120. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H261. zenon_intro zenon_H25d. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H7f | zenon_intro zenon_H2f ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H96 | zenon_intro zenon_H49 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H145 | zenon_intro zenon_Hdf ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L291_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_L453_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 exact (zenon_H7f zenon_H81). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.84/12.05 exact (zenon_H7f zenon_H81). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.84/12.05 apply (zenon_L187_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.84/12.05 apply (zenon_L456_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.84/12.05 apply (zenon_L109_); trivial. % 11.84/12.05 apply (zenon_L457_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.84/12.05 apply (zenon_L20_); trivial. % 11.84/12.05 apply (zenon_L149_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L429_); trivial. % 11.84/12.05 apply (zenon_L416_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L447_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H29 | zenon_intro zenon_H208 ]. % 11.84/12.05 apply (zenon_L77_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H44 | zenon_intro zenon_H209 ]. % 11.84/12.05 apply (zenon_L458_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H49 | zenon_intro zenon_H51 ]. % 11.84/12.05 apply (zenon_L460_); trivial. % 11.84/12.05 apply (zenon_L424_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.05 apply (zenon_L85_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.05 apply (zenon_L60_); trivial. % 11.84/12.05 apply (zenon_L461_); trivial. % 11.84/12.05 apply (zenon_L335_); trivial. % 11.84/12.05 apply (zenon_L120_); trivial. % 11.84/12.05 apply (zenon_L380_); trivial. % 11.84/12.05 apply (zenon_L460_); trivial. % 11.84/12.05 apply (zenon_L187_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H126 | zenon_intro zenon_H254 ]. % 11.84/12.05 apply (zenon_L268_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H17d | zenon_intro zenon_H255 ]. % 11.84/12.05 apply (zenon_L125_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ba ]. % 11.84/12.05 apply (zenon_L175_); trivial. % 11.84/12.05 apply (zenon_L462_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H29. zenon_intro zenon_H2df. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H237. zenon_intro zenon_H1d. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H24 | zenon_intro zenon_H246 ]. % 11.84/12.05 apply (zenon_L2_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H2c | zenon_intro zenon_H247 ]. % 11.84/12.05 apply (zenon_L5_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H31 | zenon_intro zenon_H248 ]. % 11.84/12.05 apply (zenon_L7_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H39 | zenon_intro zenon_H249 ]. % 11.84/12.05 apply (zenon_L9_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H40 | zenon_intro zenon_H24a ]. % 11.84/12.05 apply (zenon_L12_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H47 | zenon_intro zenon_H24b ]. % 11.84/12.05 apply (zenon_L14_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H4f | zenon_intro zenon_H24c ]. % 11.84/12.05 apply (zenon_L16_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H56 | zenon_intro zenon_H24d ]. % 11.84/12.05 apply (zenon_L18_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ee | zenon_intro zenon_H250 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H5a. zenon_intro zenon_H1ef. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H5e. zenon_intro zenon_H11d. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H113. zenon_intro zenon_H120. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H7f | zenon_intro zenon_H2f ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H96 | zenon_intro zenon_H49 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L1_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_L4_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_L20_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L77_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L11_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L21_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.84/12.05 apply (zenon_L296_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.84/12.05 exact (zenon_H237 zenon_H12c). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.84/12.05 apply (zenon_L464_); trivial. % 11.84/12.05 apply (zenon_L37_); trivial. % 11.84/12.05 apply (zenon_L15_); trivial. % 11.84/12.05 apply (zenon_L56_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H251 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H85. zenon_intro zenon_H1f1. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H79. zenon_intro zenon_H11d. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H7f | zenon_intro zenon_H2f ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L1_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_L4_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L77_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L11_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.84/12.05 apply (zenon_L4_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.84/12.05 exact (zenon_H237 zenon_H12c). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.84/12.05 apply (zenon_L391_); trivial. % 11.84/12.05 apply (zenon_L466_); trivial. % 11.84/12.05 apply (zenon_L30_); trivial. % 11.84/12.05 apply (zenon_L34_); trivial. % 11.84/12.05 apply (zenon_L6_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H252 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H10c. zenon_intro zenon_H1f3. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H10c. zenon_intro zenon_H11d. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H113. zenon_intro zenon_H120. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H261. zenon_intro zenon_H25d. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H7f | zenon_intro zenon_H2f ]. % 11.84/12.05 apply (zenon_L82_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H96 | zenon_intro zenon_H49 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H145 | zenon_intro zenon_Hdf ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L183_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L52_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L11_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L53_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.05 apply (zenon_L22_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.05 apply (zenon_L13_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.84/12.05 apply (zenon_L27_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.84/12.05 exact (zenon_H96 zenon_H99). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.84/12.05 apply (zenon_L59_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.84/12.05 apply (zenon_L432_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.84/12.05 apply (zenon_L477_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.84/12.05 apply (zenon_L42_); trivial. % 11.84/12.05 apply (zenon_L44_); trivial. % 11.84/12.05 apply (zenon_L474_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.05 apply (zenon_L35_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.05 apply (zenon_L50_); trivial. % 11.84/12.05 apply (zenon_L115_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L27_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L80_); trivial. % 11.84/12.05 apply (zenon_L29_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L77_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L11_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L53_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.05 apply (zenon_L11_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.05 apply (zenon_L13_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.84/12.05 apply (zenon_L27_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.84/12.05 exact (zenon_H96 zenon_H99). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.84/12.05 apply (zenon_L59_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.84/12.05 apply (zenon_L126_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.84/12.05 apply (zenon_L477_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.84/12.05 apply (zenon_L432_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.84/12.05 apply (zenon_L470_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.84/12.05 apply (zenon_L42_); trivial. % 11.84/12.05 apply (zenon_L44_); trivial. % 11.84/12.05 apply (zenon_L478_); trivial. % 11.84/12.05 apply (zenon_L474_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.84/12.05 exact (zenon_H237 zenon_H12c). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.84/12.05 apply (zenon_L479_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.05 apply (zenon_L22_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.05 apply (zenon_L13_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.84/12.05 apply (zenon_L31_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.84/12.05 exact (zenon_H96 zenon_H99). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.84/12.05 apply (zenon_L78_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.84/12.05 apply (zenon_L27_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.84/12.05 exact (zenon_H96 zenon_H99). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.84/12.05 apply (zenon_L59_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.84/12.05 apply (zenon_L481_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.84/12.05 apply (zenon_L467_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.84/12.05 apply (zenon_L469_); trivial. % 11.84/12.05 apply (zenon_L482_); trivial. % 11.84/12.05 apply (zenon_L474_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.05 apply (zenon_L35_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.05 apply (zenon_L50_); trivial. % 11.84/12.05 apply (zenon_L115_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L27_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L48_); trivial. % 11.84/12.05 apply (zenon_L29_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L52_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L11_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L53_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.05 apply (zenon_L22_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.05 apply (zenon_L13_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.84/12.05 apply (zenon_L31_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.84/12.05 exact (zenon_H96 zenon_H99). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.84/12.05 apply (zenon_L78_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.84/12.05 apply (zenon_L483_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.84/12.05 exact (zenon_H96 zenon_H99). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.84/12.05 apply (zenon_L59_); trivial. % 11.84/12.05 apply (zenon_L481_); trivial. % 11.84/12.05 apply (zenon_L474_); trivial. % 11.84/12.05 apply (zenon_L476_); trivial. % 11.84/12.05 apply (zenon_L15_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H11b | zenon_intro zenon_H253 ]. % 11.84/12.05 apply (zenon_L86_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H126 | zenon_intro zenon_H254 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hd9. zenon_intro zenon_H127. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hc0. zenon_intro zenon_H1b0. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1b9. zenon_intro zenon_H1bc. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H33 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9c | zenon_intro zenon_H51 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L1_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_L116_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L484_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L11_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.84/12.05 apply (zenon_L112_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.84/12.05 exact (zenon_H237 zenon_H12c). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.84/12.05 apply (zenon_L485_); trivial. % 11.84/12.05 apply (zenon_L489_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L27_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L21_); trivial. % 11.84/12.05 apply (zenon_L51_); trivial. % 11.84/12.05 apply (zenon_L115_); trivial. % 11.84/12.05 apply (zenon_L120_); trivial. % 11.84/12.05 apply (zenon_L17_); trivial. % 11.84/12.05 apply (zenon_L268_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H17d | zenon_intro zenon_H255 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_Hb5. zenon_intro zenon_H17e. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Hfa. zenon_intro zenon_H1b0. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H33 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L1_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_L161_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_L150_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.84/12.05 apply (zenon_L47_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.84/12.05 apply (zenon_L31_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.84/12.05 apply (zenon_L164_); trivial. % 11.84/12.05 apply (zenon_L33_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L11_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L135_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.05 exact (zenon_Hbd zenon_Hbc). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.05 apply (zenon_L35_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hbc | zenon_intro zenon_H1a0 ]. % 11.84/12.05 exact (zenon_Hbd zenon_Hbc). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H135 | zenon_intro zenon_H1a1 ]. % 11.84/12.05 apply (zenon_L126_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd9 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.84/12.05 apply (zenon_L296_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.84/12.05 exact (zenon_H237 zenon_H12c). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.84/12.05 apply (zenon_L490_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.05 apply (zenon_L22_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.05 apply (zenon_L13_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.84/12.05 apply (zenon_L491_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.84/12.05 apply (zenon_L492_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.84/12.05 apply (zenon_L59_); trivial. % 11.84/12.05 apply (zenon_L44_); trivial. % 11.84/12.05 apply (zenon_L65_); trivial. % 11.84/12.05 apply (zenon_L120_); trivial. % 11.84/12.05 apply (zenon_L115_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L27_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L146_); trivial. % 11.84/12.05 apply (zenon_L29_); trivial. % 11.84/12.05 apply (zenon_L8_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ba ]. % 11.84/12.05 apply (zenon_L177_); trivial. % 11.84/12.05 apply (zenon_L182_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H2e0 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H44. zenon_intro zenon_H2e2. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H1e9. zenon_intro zenon_H44. % 11.84/12.05 exact (zenon_H1e9 zenon_H44). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H2e3 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H49. zenon_intro zenon_H2e5. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H96. zenon_intro zenon_H85. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H24 | zenon_intro zenon_H246 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H1e. zenon_intro zenon_H25. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H25). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H219. zenon_intro zenon_H218. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21b. zenon_intro zenon_H21a. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21d. zenon_intro zenon_H21c. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H237 | zenon_intro zenon_H29 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H18c | zenon_intro zenon_H5a ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H217 | zenon_intro zenon_Hd9 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L493_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.05 apply (zenon_L127_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.05 apply (zenon_L15_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.05 apply (zenon_L503_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.84/12.05 apply (zenon_L499_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.84/12.05 exact (zenon_H237 zenon_H12c). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.84/12.05 apply (zenon_L426_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.84/12.05 apply (zenon_L128_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.84/12.05 exact (zenon_H96 zenon_H99). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.84/12.05 apply (zenon_L224_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.84/12.05 apply (zenon_L502_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.84/12.05 apply (zenon_L509_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.84/12.05 apply (zenon_L426_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.84/12.05 exact (zenon_H18c zenon_H164). % 11.84/12.05 apply (zenon_L40_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.84/12.05 apply (zenon_L63_); trivial. % 11.84/12.05 apply (zenon_L226_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.84/12.05 exact (zenon_H237 zenon_H12c). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.84/12.05 apply (zenon_L390_); trivial. % 11.84/12.05 apply (zenon_L500_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L221_); trivial. % 11.84/12.05 apply (zenon_L511_); trivial. % 11.84/12.05 apply (zenon_L519_); trivial. % 11.84/12.05 apply (zenon_L32_); trivial. % 11.84/12.05 apply (zenon_L15_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H2c | zenon_intro zenon_H247 ]. % 11.84/12.05 apply (zenon_L520_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H31 | zenon_intro zenon_H248 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H2f. zenon_intro zenon_H32. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H5b. zenon_intro zenon_H26. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H219. zenon_intro zenon_H218. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21b. zenon_intro zenon_H21a. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21d. zenon_intro zenon_H21c. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H237 | zenon_intro zenon_H29 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H18c | zenon_intro zenon_H5a ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H217 | zenon_intro zenon_Hd9 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L523_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.05 apply (zenon_L127_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.05 apply (zenon_L15_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.05 apply (zenon_L60_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.84/12.05 apply (zenon_L499_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.84/12.05 exact (zenon_H237 zenon_H12c). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.84/12.05 apply (zenon_L317_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.84/12.05 apply (zenon_L128_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.84/12.05 exact (zenon_H96 zenon_H99). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.84/12.05 apply (zenon_L224_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.84/12.05 apply (zenon_L96_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.84/12.05 apply (zenon_L509_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.84/12.05 apply (zenon_L191_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.84/12.05 apply (zenon_L502_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.84/12.05 apply (zenon_L497_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.84/12.05 apply (zenon_L59_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.84/12.05 apply (zenon_L524_); trivial. % 11.84/12.05 apply (zenon_L508_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.84/12.05 apply (zenon_L63_); trivial. % 11.84/12.05 apply (zenon_L525_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.84/12.05 exact (zenon_H237 zenon_H12c). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.84/12.05 apply (zenon_L390_); trivial. % 11.84/12.05 apply (zenon_L526_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L53_); trivial. % 11.84/12.05 apply (zenon_L527_); trivial. % 11.84/12.05 apply (zenon_L529_); trivial. % 11.84/12.05 apply (zenon_L20_); trivial. % 11.84/12.05 apply (zenon_L15_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H39 | zenon_intro zenon_H249 ]. % 11.84/12.05 apply (zenon_L531_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H40 | zenon_intro zenon_H24a ]. % 11.84/12.05 apply (zenon_L207_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H47 | zenon_intro zenon_H24b ]. % 11.84/12.05 apply (zenon_L532_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H4f | zenon_intro zenon_H24c ]. % 11.84/12.05 apply (zenon_L533_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H56 | zenon_intro zenon_H24d ]. % 11.84/12.05 apply (zenon_L534_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ee | zenon_intro zenon_H250 ]. % 11.84/12.05 apply (zenon_L535_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H251 ]. % 11.84/12.05 apply (zenon_L536_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H252 ]. % 11.84/12.05 apply (zenon_L473_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H11b | zenon_intro zenon_H253 ]. % 11.84/12.05 apply (zenon_L537_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H126 | zenon_intro zenon_H254 ]. % 11.84/12.05 apply (zenon_L257_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H17d | zenon_intro zenon_H255 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_Hb5. zenon_intro zenon_H17e. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Hfa. zenon_intro zenon_H1b0. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1b9. zenon_intro zenon_H1bc. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H201. zenon_intro zenon_H2d9. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H33 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9c | zenon_intro zenon_H51 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_He7 | zenon_intro zenon_H117 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1e | zenon_intro zenon_H24e ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L493_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.05 apply (zenon_L127_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.05 apply (zenon_L15_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.05 apply (zenon_L538_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.05 exact (zenon_Hbd zenon_Hbc). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.05 apply (zenon_L210_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.05 apply (zenon_L545_); trivial. % 11.84/12.05 apply (zenon_L111_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L221_); trivial. % 11.84/12.05 apply (zenon_L546_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1d | zenon_intro zenon_H24f ]. % 11.84/12.05 apply (zenon_L547_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H2f | zenon_intro zenon_H33 ]. % 11.84/12.05 apply (zenon_L269_); trivial. % 11.84/12.05 apply (zenon_L551_); trivial. % 11.84/12.05 apply (zenon_L340_); trivial. % 11.84/12.05 apply (zenon_L219_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_He7 | zenon_intro zenon_H117 ]. % 11.84/12.05 apply (zenon_L551_); trivial. % 11.84/12.05 apply (zenon_L340_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ba ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Hdf. zenon_intro zenon_H1b4. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H106. zenon_intro zenon_H1b0. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1b9. zenon_intro zenon_H1bc. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H201. zenon_intro zenon_H2d9. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H33 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9c | zenon_intro zenon_H51 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_He7 | zenon_intro zenon_H117 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1e | zenon_intro zenon_H24e ]. % 11.84/12.05 apply (zenon_L553_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1d | zenon_intro zenon_H24f ]. % 11.84/12.05 apply (zenon_L547_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H2f | zenon_intro zenon_H33 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L183_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_L554_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.84/12.05 apply (zenon_L555_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.84/12.05 apply (zenon_L224_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.84/12.05 apply (zenon_L392_); trivial. % 11.84/12.05 apply (zenon_L275_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 apply (zenon_L47_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L57_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L48_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.84/12.05 apply (zenon_L47_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.05 exact (zenon_Hbd zenon_Hbc). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.05 apply (zenon_L556_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.05 apply (zenon_L290_); trivial. % 11.84/12.05 apply (zenon_L51_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.84/12.05 apply (zenon_L276_); trivial. % 11.84/12.05 apply (zenon_L33_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L557_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L53_); trivial. % 11.84/12.05 apply (zenon_L558_); trivial. % 11.84/12.05 apply (zenon_L560_); trivial. % 11.84/12.05 apply (zenon_L340_); trivial. % 11.84/12.05 apply (zenon_L219_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9c | zenon_intro zenon_H51 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_He7 | zenon_intro zenon_H117 ]. % 11.84/12.05 apply (zenon_L560_); trivial. % 11.84/12.05 apply (zenon_L380_); trivial. % 11.84/12.05 apply (zenon_L219_); trivial. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hf9. zenon_intro zenon_H1bb. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hf9. zenon_intro zenon_H1b0. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1b9. zenon_intro zenon_H1bc. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H201. zenon_intro zenon_H2d9. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9c | zenon_intro zenon_H51 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_He7 | zenon_intro zenon_H117 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1e | zenon_intro zenon_H24e ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L493_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.84/12.05 apply (zenon_L210_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.84/12.05 exact (zenon_H9c zenon_H9b). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.84/12.05 apply (zenon_L63_); trivial. % 11.84/12.05 apply (zenon_L561_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L221_); trivial. % 11.84/12.05 apply (zenon_L564_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1d | zenon_intro zenon_H24f ]. % 11.84/12.05 apply (zenon_L547_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H2f | zenon_intro zenon_H33 ]. % 11.84/12.05 apply (zenon_L383_); trivial. % 11.84/12.05 apply (zenon_L573_); trivial. % 11.84/12.05 apply (zenon_L340_); trivial. % 11.84/12.05 apply (zenon_L219_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H51. zenon_intro zenon_H2e8. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H9c. zenon_intro zenon_Hb5. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H24 | zenon_intro zenon_H246 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H1e. zenon_intro zenon_H25. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H25). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H219. zenon_intro zenon_H218. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21b. zenon_intro zenon_H21a. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21d. zenon_intro zenon_H21c. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H237 | zenon_intro zenon_H29 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H18c | zenon_intro zenon_H5a ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H217 | zenon_intro zenon_Hd9 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L493_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.05 apply (zenon_L493_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.05 apply (zenon_L17_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 apply (zenon_L580_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L189_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L588_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H81 | zenon_intro zenon_H8a ]. % 11.84/12.05 apply (zenon_L580_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6f | zenon_intro zenon_H8b ]. % 11.84/12.05 apply (zenon_L576_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H5a | zenon_intro zenon_H87 ]. % 11.84/12.05 apply (zenon_L594_); trivial. % 11.84/12.05 apply (zenon_L596_); trivial. % 11.84/12.05 apply (zenon_L597_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.05 apply (zenon_L493_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.05 apply (zenon_L17_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.05 apply (zenon_L600_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.84/12.05 apply (zenon_L599_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.84/12.05 exact (zenon_H237 zenon_H12c). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.84/12.05 apply (zenon_L592_); trivial. % 11.84/12.05 apply (zenon_L196_); trivial. % 11.84/12.05 apply (zenon_L237_); trivial. % 11.84/12.05 apply (zenon_L87_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H217 | zenon_intro zenon_Hd9 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L493_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L594_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.05 apply (zenon_L493_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.05 apply (zenon_L17_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.05 apply (zenon_L23_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 apply (zenon_L54_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L601_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L21_); trivial. % 11.84/12.05 apply (zenon_L593_); trivial. % 11.84/12.05 apply (zenon_L237_); trivial. % 11.84/12.05 apply (zenon_L87_); trivial. % 11.84/12.05 apply (zenon_L17_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H2c | zenon_intro zenon_H247 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1d. zenon_intro zenon_H2d. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2a. zenon_intro zenon_H26. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H219. zenon_intro zenon_H218. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21b. zenon_intro zenon_H21a. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21d. zenon_intro zenon_H21c. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H237 | zenon_intro zenon_H29 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H18c | zenon_intro zenon_H5a ]. % 11.84/12.05 apply (zenon_L603_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H217 | zenon_intro zenon_Hd9 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L605_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L11_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.05 apply (zenon_L605_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.05 apply (zenon_L17_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.05 apply (zenon_L23_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 apply (zenon_L54_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L601_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L581_); trivial. % 11.84/12.05 apply (zenon_L591_); trivial. % 11.84/12.05 apply (zenon_L237_); trivial. % 11.84/12.05 apply (zenon_L87_); trivial. % 11.84/12.05 apply (zenon_L17_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H31 | zenon_intro zenon_H248 ]. % 11.84/12.05 apply (zenon_L606_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H39 | zenon_intro zenon_H249 ]. % 11.84/12.05 apply (zenon_L614_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H40 | zenon_intro zenon_H24a ]. % 11.84/12.05 apply (zenon_L401_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H47 | zenon_intro zenon_H24b ]. % 11.84/12.05 apply (zenon_L615_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H4f | zenon_intro zenon_H24c ]. % 11.84/12.05 apply (zenon_L616_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H56 | zenon_intro zenon_H24d ]. % 11.84/12.05 apply (zenon_L617_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ee | zenon_intro zenon_H250 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H5a. zenon_intro zenon_H1ef. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H5e. zenon_intro zenon_H11d. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H113. zenon_intro zenon_H120. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H261. zenon_intro zenon_H25d. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H96 | zenon_intro zenon_H49 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H145 | zenon_intro zenon_Hdf ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1e | zenon_intro zenon_H24e ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L493_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L619_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L21_); trivial. % 11.84/12.05 apply (zenon_L237_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1d | zenon_intro zenon_H24f ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L620_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L619_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L21_); trivial. % 11.84/12.05 apply (zenon_L237_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H2f | zenon_intro zenon_H33 ]. % 11.84/12.05 apply (zenon_L48_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L548_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L619_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L21_); trivial. % 11.84/12.05 apply (zenon_L237_); trivial. % 11.84/12.05 apply (zenon_L339_); trivial. % 11.84/12.05 apply (zenon_L219_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H251 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H85. zenon_intro zenon_H1f1. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H79. zenon_intro zenon_H11d. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H113. zenon_intro zenon_H120. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H261. zenon_intro zenon_H25d. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H7f | zenon_intro zenon_H2f ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H96 | zenon_intro zenon_H49 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H145 | zenon_intro zenon_Hdf ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1e | zenon_intro zenon_H24e ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L493_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.05 apply (zenon_L127_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.05 apply (zenon_L17_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 exact (zenon_H7f zenon_H81). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L57_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L28_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.84/12.05 apply (zenon_L58_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.84/12.05 apply (zenon_L536_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.84/12.05 apply (zenon_L299_); trivial. % 11.84/12.05 apply (zenon_L622_); trivial. % 11.84/12.05 apply (zenon_L623_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L624_); trivial. % 11.84/12.05 apply (zenon_L237_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1d | zenon_intro zenon_H24f ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L1_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.05 apply (zenon_L525_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.05 apply (zenon_L259_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.05 apply (zenon_L59_); trivial. % 11.84/12.05 apply (zenon_L65_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.05 apply (zenon_L620_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.05 apply (zenon_L17_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.05 apply (zenon_L60_); trivial. % 11.84/12.05 apply (zenon_L623_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.05 apply (zenon_L602_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.05 apply (zenon_L17_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.05 apply (zenon_L626_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.05 apply (zenon_L259_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.05 apply (zenon_L463_); trivial. % 11.84/12.05 apply (zenon_L91_); trivial. % 11.84/12.05 apply (zenon_L623_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H2f | zenon_intro zenon_H33 ]. % 11.84/12.05 apply (zenon_L631_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L291_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L549_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L525_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L632_); trivial. % 11.84/12.05 apply (zenon_L335_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L602_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L629_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L632_); trivial. % 11.84/12.05 apply (zenon_L237_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L549_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L630_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L632_); trivial. % 11.84/12.05 apply (zenon_L335_); trivial. % 11.84/12.05 apply (zenon_L339_); trivial. % 11.84/12.05 apply (zenon_L219_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H145 | zenon_intro zenon_Hdf ]. % 11.84/12.05 apply (zenon_L631_); trivial. % 11.84/12.05 apply (zenon_L339_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H252 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H10c. zenon_intro zenon_H1f3. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H10c. zenon_intro zenon_H11d. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H113. zenon_intro zenon_H120. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H261. zenon_intro zenon_H25d. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H7f | zenon_intro zenon_H2f ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H96 | zenon_intro zenon_H49 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H145 | zenon_intro zenon_Hdf ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1e | zenon_intro zenon_H24e ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L493_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hba ]. % 11.84/12.05 apply (zenon_L189_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H99 | zenon_intro zenon_Hbb ]. % 11.84/12.05 exact (zenon_H96 zenon_H99). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb6 ]. % 11.84/12.05 apply (zenon_L473_); trivial. % 11.84/12.05 apply (zenon_L44_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.05 apply (zenon_L493_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.05 apply (zenon_L17_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.05 apply (zenon_L58_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.05 apply (zenon_L259_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.84/12.05 apply (zenon_L352_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.84/12.05 apply (zenon_L42_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.84/12.05 apply (zenon_L471_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H33 | zenon_intro zenon_H205 ]. % 11.84/12.05 apply (zenon_L633_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H92 | zenon_intro zenon_H206 ]. % 11.84/12.05 apply (zenon_L196_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hac ]. % 11.84/12.05 apply (zenon_L208_); trivial. % 11.84/12.05 apply (zenon_L634_); trivial. % 11.84/12.05 apply (zenon_L65_); trivial. % 11.84/12.05 apply (zenon_L635_); trivial. % 11.84/12.05 apply (zenon_L237_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1d | zenon_intro zenon_H24f ]. % 11.84/12.05 apply (zenon_L636_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H2f | zenon_intro zenon_H33 ]. % 11.84/12.05 apply (zenon_L645_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L291_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_L637_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 exact (zenon_H7f zenon_H81). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.05 apply (zenon_L189_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.05 apply (zenon_L259_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.84/12.05 apply (zenon_L62_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.84/12.05 apply (zenon_L42_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.84/12.05 apply (zenon_L471_); trivial. % 11.84/12.05 apply (zenon_L633_); trivial. % 11.84/12.05 apply (zenon_L65_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L80_); trivial. % 11.84/12.05 apply (zenon_L416_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 exact (zenon_H7f zenon_H81). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L483_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L80_); trivial. % 11.84/12.05 apply (zenon_L416_); trivial. % 11.84/12.05 apply (zenon_L339_); trivial. % 11.84/12.05 apply (zenon_L219_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H96 | zenon_intro zenon_H49 ]. % 11.84/12.05 apply (zenon_L646_); trivial. % 11.84/12.05 apply (zenon_L219_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H11b | zenon_intro zenon_H253 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H117. zenon_intro zenon_H11c. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H114. zenon_intro zenon_H11d. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H113. zenon_intro zenon_H120. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H261. zenon_intro zenon_H25d. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H7f | zenon_intro zenon_H2f ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H96 | zenon_intro zenon_H49 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H26d | zenon_intro zenon_H10c ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1e | zenon_intro zenon_H24e ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L493_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L647_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.05 apply (zenon_L493_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.05 apply (zenon_L648_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 exact (zenon_H7f zenon_H81). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.05 apply (zenon_L189_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.05 apply (zenon_L259_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H1d2 ]. % 11.84/12.05 apply (zenon_L352_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d3 ]. % 11.84/12.05 apply (zenon_L42_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He0 | zenon_intro zenon_H106 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.84/12.05 apply (zenon_L358_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.84/12.05 apply (zenon_L226_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.84/12.05 apply (zenon_L158_); trivial. % 11.84/12.05 apply (zenon_L652_); trivial. % 11.84/12.05 apply (zenon_L303_); trivial. % 11.84/12.05 apply (zenon_L65_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L21_); trivial. % 11.84/12.05 apply (zenon_L134_); trivial. % 11.84/12.05 apply (zenon_L654_); trivial. % 11.84/12.05 apply (zenon_L237_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1d | zenon_intro zenon_H24f ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L620_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L11_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L655_); trivial. % 11.84/12.05 apply (zenon_L237_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H2f | zenon_intro zenon_H33 ]. % 11.84/12.05 apply (zenon_L656_); trivial. % 11.84/12.05 apply (zenon_L657_); trivial. % 11.84/12.05 apply (zenon_L98_); trivial. % 11.84/12.05 apply (zenon_L219_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H96 | zenon_intro zenon_H49 ]. % 11.84/12.05 apply (zenon_L656_); trivial. % 11.84/12.05 apply (zenon_L219_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H126 | zenon_intro zenon_H254 ]. % 11.84/12.05 apply (zenon_L88_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H17d | zenon_intro zenon_H255 ]. % 11.84/12.05 apply (zenon_L173_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ba ]. % 11.84/12.05 apply (zenon_L658_); trivial. % 11.84/12.05 apply (zenon_L659_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2ea | zenon_intro zenon_H2e9 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H5a. zenon_intro zenon_H2eb. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H18c. zenon_intro zenon_H2f. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H24 | zenon_intro zenon_H246 ]. % 11.84/12.05 apply (zenon_L184_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H2c | zenon_intro zenon_H247 ]. % 11.84/12.05 apply (zenon_L185_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H31 | zenon_intro zenon_H248 ]. % 11.84/12.05 apply (zenon_L186_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H39 | zenon_intro zenon_H249 ]. % 11.84/12.05 apply (zenon_L188_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H40 | zenon_intro zenon_H24a ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H29. zenon_intro zenon_H41. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H3c. zenon_intro zenon_H42. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1da. zenon_intro zenon_H1d9. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1d6. zenon_intro zenon_H1db. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H85 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c3 | zenon_intro zenon_Hb5 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L183_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 apply (zenon_L54_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L189_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L48_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.84/12.05 apply (zenon_L56_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.84/12.05 apply (zenon_L92_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.84/12.05 apply (zenon_L90_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.84/12.05 apply (zenon_L136_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.84/12.05 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.05 apply (zenon_L664_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.84/12.05 apply (zenon_L90_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.84/12.05 apply (zenon_L670_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.84/12.05 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.05 apply (zenon_L671_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.05 apply (zenon_L210_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.05 apply (zenon_L50_); trivial. % 11.84/12.05 apply (zenon_L51_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_L20_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 apply (zenon_L54_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L189_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L48_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.84/12.05 apply (zenon_L281_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.84/12.05 apply (zenon_L23_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.84/12.05 apply (zenon_L136_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.84/12.05 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.05 apply (zenon_L682_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.84/12.05 exact (zenon_H18c zenon_H164). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H65 | zenon_intro zenon_H15b ]. % 11.84/12.05 apply (zenon_L90_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Haf | zenon_intro zenon_H15c ]. % 11.84/12.05 apply (zenon_L683_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 11.84/12.05 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.05 apply (zenon_L682_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.05 apply (zenon_L210_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.05 apply (zenon_L50_); trivial. % 11.84/12.05 apply (zenon_L51_); trivial. % 11.84/12.05 apply (zenon_L213_); trivial. % 11.84/12.05 apply (zenon_L32_); trivial. % 11.84/12.05 apply (zenon_L11_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H47 | zenon_intro zenon_H24b ]. % 11.84/12.05 apply (zenon_L218_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H4f | zenon_intro zenon_H24c ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H49. zenon_intro zenon_H50. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_Haf. zenon_intro zenon_H42. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1da. zenon_intro zenon_H1d9. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1d6. zenon_intro zenon_H1db. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H44 ]. % 11.84/12.05 apply (zenon_L684_); trivial. % 11.84/12.05 apply (zenon_L215_); trivial. % 11.84/12.05 apply (zenon_L235_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H56 | zenon_intro zenon_H24d ]. % 11.84/12.05 apply (zenon_L238_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ee | zenon_intro zenon_H250 ]. % 11.84/12.05 apply (zenon_L239_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H251 ]. % 11.84/12.05 apply (zenon_L240_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H252 ]. % 11.84/12.05 apply (zenon_L241_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H11b | zenon_intro zenon_H253 ]. % 11.84/12.05 apply (zenon_L242_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H126 | zenon_intro zenon_H254 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Hd9. zenon_intro zenon_H127. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hc0. zenon_intro zenon_H1b0. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1b9. zenon_intro zenon_H1bc. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H201. zenon_intro zenon_H2d9. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H33 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9c | zenon_intro zenon_H51 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_He7 | zenon_intro zenon_H117 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L183_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 apply (zenon_L47_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.05 apply (zenon_L127_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.05 apply (zenon_L685_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.05 apply (zenon_L244_); trivial. % 11.84/12.05 apply (zenon_L95_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L48_); trivial. % 11.84/12.05 apply (zenon_L51_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_L258_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L53_); trivial. % 11.84/12.05 apply (zenon_L115_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_L20_); trivial. % 11.84/12.05 apply (zenon_L120_); trivial. % 11.84/12.05 apply (zenon_L229_); trivial. % 11.84/12.05 apply (zenon_L266_); trivial. % 11.84/12.05 apply (zenon_L268_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H17d | zenon_intro zenon_H255 ]. % 11.84/12.05 apply (zenon_L271_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ba ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Hdf. zenon_intro zenon_H1b4. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H106. zenon_intro zenon_H1b0. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1b9. zenon_intro zenon_H1bc. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H201. zenon_intro zenon_H2d9. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H33 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_He7 | zenon_intro zenon_H117 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L183_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_L272_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_L20_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 apply (zenon_L54_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L280_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L48_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.05 exact (zenon_Hbd zenon_Hbc). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H29 | zenon_intro zenon_H208 ]. % 11.84/12.05 apply (zenon_L176_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H44 | zenon_intro zenon_H209 ]. % 11.84/12.05 apply (zenon_L686_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H49 | zenon_intro zenon_H51 ]. % 11.84/12.05 apply (zenon_L276_); trivial. % 11.84/12.05 apply (zenon_L278_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.05 apply (zenon_L290_); trivial. % 11.84/12.05 apply (zenon_L51_); trivial. % 11.84/12.05 apply (zenon_L229_); trivial. % 11.84/12.05 apply (zenon_L187_); trivial. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hf9. zenon_intro zenon_H1bb. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hf9. zenon_intro zenon_H1b0. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1b9. zenon_intro zenon_H1bc. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H201. zenon_intro zenon_H2d9. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H33 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_He7 | zenon_intro zenon_H117 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.05 apply (zenon_L183_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.05 apply (zenon_L382_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.05 apply (zenon_L20_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.05 apply (zenon_L54_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.05 apply (zenon_L386_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.05 apply (zenon_L48_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.05 exact (zenon_Hbd zenon_Hbc). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hbc | zenon_intro zenon_H1a0 ]. % 11.84/12.05 exact (zenon_Hbd zenon_Hbc). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H135 | zenon_intro zenon_H1a1 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H29 | zenon_intro zenon_H208 ]. % 11.84/12.05 apply (zenon_L126_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H44 | zenon_intro zenon_H209 ]. % 11.84/12.05 apply (zenon_L686_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H49 | zenon_intro zenon_H51 ]. % 11.84/12.05 apply (zenon_L383_); trivial. % 11.84/12.05 apply (zenon_L385_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd9 ]. % 11.84/12.05 apply (zenon_L124_); trivial. % 11.84/12.05 apply (zenon_L120_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.05 apply (zenon_L50_); trivial. % 11.84/12.05 apply (zenon_L51_); trivial. % 11.84/12.05 apply (zenon_L229_); trivial. % 11.84/12.05 apply (zenon_L187_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H2ed | zenon_intro zenon_H2ec ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H85. zenon_intro zenon_H2ee. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H1c7. zenon_intro zenon_H49. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H24 | zenon_intro zenon_H246 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H1e. zenon_intro zenon_H25. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H25). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H219. zenon_intro zenon_H218. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21b. zenon_intro zenon_H21a. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21d. zenon_intro zenon_H21c. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H237 | zenon_intro zenon_H29 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H18c | zenon_intro zenon_H5a ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H217 | zenon_intro zenon_Hd9 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L493_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.05 apply (zenon_L127_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.05 apply (zenon_L15_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.05 apply (zenon_L503_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.84/12.05 apply (zenon_L499_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.84/12.05 exact (zenon_H237 zenon_H12c). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.84/12.05 apply (zenon_L426_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H6f | zenon_intro zenon_H97 ]. % 11.84/12.05 apply (zenon_L128_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 11.84/12.05 apply (zenon_L130_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H79 | zenon_intro zenon_H93 ]. % 11.84/12.05 apply (zenon_L224_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8c | zenon_intro zenon_H129 ]. % 11.84/12.05 apply (zenon_L502_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.84/12.05 apply (zenon_L688_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.84/12.05 apply (zenon_L426_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.84/12.05 exact (zenon_H18c zenon_H164). % 11.84/12.05 apply (zenon_L40_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb5 ]. % 11.84/12.05 apply (zenon_L63_); trivial. % 11.84/12.05 apply (zenon_L226_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.84/12.05 exact (zenon_H237 zenon_H12c). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.84/12.05 apply (zenon_L390_); trivial. % 11.84/12.05 apply (zenon_L500_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L221_); trivial. % 11.84/12.05 apply (zenon_L511_); trivial. % 11.84/12.05 apply (zenon_L519_); trivial. % 11.84/12.05 apply (zenon_L32_); trivial. % 11.84/12.05 apply (zenon_L15_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H2c | zenon_intro zenon_H247 ]. % 11.84/12.05 apply (zenon_L520_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H31 | zenon_intro zenon_H248 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H2f. zenon_intro zenon_H32. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H5b. zenon_intro zenon_H26. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H219. zenon_intro zenon_H218. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21b. zenon_intro zenon_H21a. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21d. zenon_intro zenon_H21c. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H237 | zenon_intro zenon_H29 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H217 | zenon_intro zenon_Hd9 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L523_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.05 apply (zenon_L127_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.05 apply (zenon_L15_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.05 apply (zenon_L60_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2a | zenon_intro zenon_H263 ]. % 11.84/12.05 apply (zenon_L688_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H12c | zenon_intro zenon_H264 ]. % 11.84/12.05 exact (zenon_H237 zenon_H12c). % 11.84/12.05 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H14c | zenon_intro zenon_H92 ]. % 11.84/12.05 apply (zenon_L479_); trivial. % 11.84/12.05 apply (zenon_L689_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L221_); trivial. % 11.84/12.05 apply (zenon_L527_); trivial. % 11.84/12.05 apply (zenon_L529_); trivial. % 11.84/12.05 apply (zenon_L15_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H39 | zenon_intro zenon_H249 ]. % 11.84/12.05 apply (zenon_L531_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H40 | zenon_intro zenon_H24a ]. % 11.84/12.05 apply (zenon_L207_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H47 | zenon_intro zenon_H24b ]. % 11.84/12.05 apply (zenon_L532_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H4f | zenon_intro zenon_H24c ]. % 11.84/12.05 apply (zenon_L533_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H56 | zenon_intro zenon_H24d ]. % 11.84/12.05 apply (zenon_L534_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ee | zenon_intro zenon_H250 ]. % 11.84/12.05 apply (zenon_L535_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H251 ]. % 11.84/12.05 apply (zenon_L536_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H252 ]. % 11.84/12.05 apply (zenon_L473_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H11b | zenon_intro zenon_H253 ]. % 11.84/12.05 apply (zenon_L537_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H126 | zenon_intro zenon_H254 ]. % 11.84/12.05 apply (zenon_L257_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H17d | zenon_intro zenon_H255 ]. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_Hb5. zenon_intro zenon_H17e. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Hfa. zenon_intro zenon_H1b0. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1b9. zenon_intro zenon_H1bc. % 11.84/12.05 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H201. zenon_intro zenon_H2d9. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H33 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9c | zenon_intro zenon_H51 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_He7 | zenon_intro zenon_H117 ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1e | zenon_intro zenon_H24e ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.05 apply (zenon_L493_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.05 apply (zenon_L493_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.05 apply (zenon_L15_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.05 apply (zenon_L538_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.05 exact (zenon_Hbd zenon_Hbc). % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.05 apply (zenon_L210_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.05 apply (zenon_L691_); trivial. % 11.84/12.05 apply (zenon_L111_); trivial. % 11.84/12.05 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.05 apply (zenon_L221_); trivial. % 11.84/12.05 apply (zenon_L546_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1d | zenon_intro zenon_H24f ]. % 11.84/12.06 apply (zenon_L547_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H2f | zenon_intro zenon_H33 ]. % 11.84/12.06 apply (zenon_L690_); trivial. % 11.84/12.06 apply (zenon_L693_); trivial. % 11.84/12.06 apply (zenon_L340_); trivial. % 11.84/12.06 apply (zenon_L219_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_He7 | zenon_intro zenon_H117 ]. % 11.84/12.06 apply (zenon_L693_); trivial. % 11.84/12.06 apply (zenon_L340_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ba ]. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Hdf. zenon_intro zenon_H1b4. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H106. zenon_intro zenon_H1b0. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1b9. zenon_intro zenon_H1bc. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H201. zenon_intro zenon_H2d9. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H33 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9c | zenon_intro zenon_H51 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_He7 | zenon_intro zenon_H117 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1e | zenon_intro zenon_H24e ]. % 11.84/12.06 apply (zenon_L553_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1d | zenon_intro zenon_H24f ]. % 11.84/12.06 apply (zenon_L547_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H2f | zenon_intro zenon_H33 ]. % 11.84/12.06 apply (zenon_L690_); trivial. % 11.84/12.06 apply (zenon_L694_); trivial. % 11.84/12.06 apply (zenon_L340_); trivial. % 11.84/12.06 apply (zenon_L219_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9c | zenon_intro zenon_H51 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_He7 | zenon_intro zenon_H117 ]. % 11.84/12.06 apply (zenon_L694_); trivial. % 11.84/12.06 apply (zenon_L378_); trivial. % 11.84/12.06 apply (zenon_L219_); trivial. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_Hf9. zenon_intro zenon_H1bb. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Hf9. zenon_intro zenon_H1b0. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1b9. zenon_intro zenon_H1bc. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H201. zenon_intro zenon_H2d9. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hbd | zenon_intro zenon_H33 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9c | zenon_intro zenon_H51 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_He7 | zenon_intro zenon_H117 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1e | zenon_intro zenon_H24e ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.06 apply (zenon_L493_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 11.84/12.06 apply (zenon_L493_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H29 | zenon_intro zenon_H6e ]. % 11.84/12.06 apply (zenon_L562_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hbc | zenon_intro zenon_H1a0 ]. % 11.84/12.06 exact (zenon_Hbd zenon_Hbc). % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H135 | zenon_intro zenon_H1a1 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.84/12.06 apply (zenon_L690_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.84/12.06 apply (zenon_L390_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.84/12.06 apply (zenon_L696_); trivial. % 11.84/12.06 apply (zenon_L568_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd9 ]. % 11.84/12.06 apply (zenon_L352_); trivial. % 11.84/12.06 apply (zenon_L462_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.84/12.06 apply (zenon_L690_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.84/12.06 apply (zenon_L390_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cb ]. % 11.84/12.06 apply (zenon_L563_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1cc ]. % 11.84/12.06 apply (zenon_L224_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H114 ]. % 11.84/12.06 apply (zenon_L392_); trivial. % 11.84/12.06 apply (zenon_L542_); trivial. % 11.84/12.06 apply (zenon_L568_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.06 apply (zenon_L221_); trivial. % 11.84/12.06 apply (zenon_L564_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H1d | zenon_intro zenon_H24f ]. % 11.84/12.06 apply (zenon_L547_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H2f | zenon_intro zenon_H33 ]. % 11.84/12.06 apply (zenon_L690_); trivial. % 11.84/12.06 apply (zenon_L697_); trivial. % 11.84/12.06 apply (zenon_L340_); trivial. % 11.84/12.06 apply (zenon_L219_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H9c | zenon_intro zenon_H51 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_He7 | zenon_intro zenon_H117 ]. % 11.84/12.06 apply (zenon_L697_); trivial. % 11.84/12.06 apply (zenon_L340_); trivial. % 11.84/12.06 apply (zenon_L219_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H2ef ]. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H10c. zenon_intro zenon_H2f1. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H26d. zenon_intro zenon_H10c. % 11.84/12.06 exact (zenon_H26d zenon_H10c). % 11.84/12.06 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H2f2 ]. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H117. zenon_intro zenon_H2f4. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_He7. zenon_intro zenon_Hdf. % 11.84/12.06 apply (zenon_L380_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H2f5 ]. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_Hd9. zenon_intro zenon_H2f7. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H217. zenon_intro zenon_H33. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H24 | zenon_intro zenon_H246 ]. % 11.84/12.06 apply (zenon_L387_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H2c | zenon_intro zenon_H247 ]. % 11.84/12.06 apply (zenon_L388_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H31 | zenon_intro zenon_H248 ]. % 11.84/12.06 apply (zenon_L389_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H39 | zenon_intro zenon_H249 ]. % 11.84/12.06 apply (zenon_L336_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H40 | zenon_intro zenon_H24a ]. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H29. zenon_intro zenon_H41. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H3c. zenon_intro zenon_H42. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1da. zenon_intro zenon_H1d9. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1d6. zenon_intro zenon_H1db. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H85 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c3 | zenon_intro zenon_Hb5 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.06 apply (zenon_L291_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.84/12.06 apply (zenon_L187_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.84/12.06 apply (zenon_L699_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.84/12.06 apply (zenon_L714_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.84/12.06 apply (zenon_L58_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.84/12.06 apply (zenon_L405_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.84/12.06 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.06 apply (zenon_L715_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.06 apply (zenon_L189_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.06 apply (zenon_L427_); trivial. % 11.84/12.06 apply (zenon_L416_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.84/12.06 apply (zenon_L187_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.84/12.06 apply (zenon_L699_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.84/12.06 apply (zenon_L109_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ce ]. % 11.84/12.06 apply (zenon_L58_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H49 | zenon_intro zenon_H1cf ]. % 11.84/12.06 apply (zenon_L408_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H146 ]. % 11.84/12.06 exact (zenon_H1c7 zenon_Hd5). % 11.84/12.06 apply (zenon_L715_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.06 apply (zenon_L189_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.06 apply (zenon_L415_); trivial. % 11.84/12.06 apply (zenon_L416_); trivial. % 11.84/12.06 apply (zenon_L120_); trivial. % 11.84/12.06 apply (zenon_L87_); trivial. % 11.84/12.06 apply (zenon_L720_); trivial. % 11.84/12.06 apply (zenon_L11_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H47 | zenon_intro zenon_H24b ]. % 11.84/12.06 apply (zenon_L422_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H4f | zenon_intro zenon_H24c ]. % 11.84/12.06 apply (zenon_L423_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H56 | zenon_intro zenon_H24d ]. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H51. zenon_intro zenon_H57. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Hb8. zenon_intro zenon_H42. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1da. zenon_intro zenon_H1d9. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H44 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.06 apply (zenon_L291_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.06 exact (zenon_H6b zenon_H6d). % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.06 apply (zenon_L236_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.06 apply (zenon_L64_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H135 | zenon_intro zenon_H16b ]. % 11.84/12.06 apply (zenon_L96_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H9b | zenon_intro zenon_H16c ]. % 11.84/12.06 apply (zenon_L328_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H13b | zenon_intro zenon_Hfa ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H67 | zenon_intro zenon_H223 ]. % 11.84/12.06 apply (zenon_L296_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H224 ]. % 11.84/12.06 apply (zenon_L264_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13f | zenon_intro zenon_Hac ]. % 11.84/12.06 apply (zenon_L721_); trivial. % 11.84/12.06 exact (zenon_H217 zenon_Hac). % 11.84/12.06 apply (zenon_L172_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.06 apply (zenon_L76_); trivial. % 11.84/12.06 apply (zenon_L267_); trivial. % 11.84/12.06 apply (zenon_L335_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.06 apply (zenon_L428_); trivial. % 11.84/12.06 apply (zenon_L120_); trivial. % 11.84/12.06 apply (zenon_L93_); trivial. % 11.84/12.06 apply (zenon_L8_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ee | zenon_intro zenon_H250 ]. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H5a. zenon_intro zenon_H1ef. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H5e. zenon_intro zenon_H11d. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H113. zenon_intro zenon_H120. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H261. zenon_intro zenon_H25d. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H7f | zenon_intro zenon_H2f ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H96 | zenon_intro zenon_H49 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H145 | zenon_intro zenon_Hdf ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.06 apply (zenon_L291_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.06 apply (zenon_L49_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.84/12.06 apply (zenon_L35_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.84/12.06 apply (zenon_L92_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H29 | zenon_intro zenon_H208 ]. % 11.84/12.06 apply (zenon_L432_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H44 | zenon_intro zenon_H209 ]. % 11.84/12.06 apply (zenon_L723_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H49 | zenon_intro zenon_H51 ]. % 11.84/12.06 apply (zenon_L728_); trivial. % 11.84/12.06 apply (zenon_L446_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H29 | zenon_intro zenon_H208 ]. % 11.84/12.06 apply (zenon_L432_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H44 | zenon_intro zenon_H209 ]. % 11.84/12.06 apply (zenon_L723_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H49 | zenon_intro zenon_H51 ]. % 11.84/12.06 apply (zenon_L444_); trivial. % 11.84/12.06 apply (zenon_L446_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.06 apply (zenon_L122_); trivial. % 11.84/12.06 apply (zenon_L267_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.06 apply (zenon_L447_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.06 apply (zenon_L21_); trivial. % 11.84/12.06 apply (zenon_L335_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.06 apply (zenon_L20_); trivial. % 11.84/12.06 apply (zenon_L120_); trivial. % 11.84/12.06 apply (zenon_L105_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H145 | zenon_intro zenon_Hdf ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.06 apply (zenon_L291_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hc4 ]. % 11.84/12.06 apply (zenon_L64_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8c | zenon_intro zenon_Hc5 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.84/12.06 apply (zenon_L35_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.84/12.06 apply (zenon_L92_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.84/12.06 apply (zenon_L728_); trivial. % 11.84/12.06 apply (zenon_L444_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 11.84/12.06 apply (zenon_L122_); trivial. % 11.84/12.06 apply (zenon_L267_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.06 apply (zenon_L447_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.06 apply (zenon_L21_); trivial. % 11.84/12.06 apply (zenon_L335_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.06 apply (zenon_L20_); trivial. % 11.84/12.06 apply (zenon_L120_); trivial. % 11.84/12.06 apply (zenon_L105_); trivial. % 11.84/12.06 apply (zenon_L48_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H251 ]. % 11.84/12.06 apply (zenon_L448_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H252 ]. % 11.84/12.06 apply (zenon_L451_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H11b | zenon_intro zenon_H253 ]. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H117. zenon_intro zenon_H11c. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H114. zenon_intro zenon_H11d. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H7f | zenon_intro zenon_H2f ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e | zenon_intro zenon_H1ea ]. % 11.84/12.06 apply (zenon_L291_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2a | zenon_intro zenon_H1eb ]. % 11.84/12.06 apply (zenon_L453_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H5b | zenon_intro zenon_H67 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H29 | zenon_intro zenon_H208 ]. % 11.84/12.06 apply (zenon_L648_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H44 | zenon_intro zenon_H209 ]. % 11.84/12.06 apply (zenon_L729_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H49 | zenon_intro zenon_H51 ]. % 11.84/12.06 apply (zenon_L459_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H2f | zenon_intro zenon_H16d ]. % 11.84/12.06 apply (zenon_L187_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H14c | zenon_intro zenon_H16e ]. % 11.84/12.06 apply (zenon_L731_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H164 | zenon_intro zenon_H13f ]. % 11.84/12.06 apply (zenon_L109_); trivial. % 11.84/12.06 apply (zenon_L158_); trivial. % 11.84/12.06 apply (zenon_L120_); trivial. % 11.84/12.06 apply (zenon_L187_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H126 | zenon_intro zenon_H254 ]. % 11.84/12.06 apply (zenon_L268_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H17d | zenon_intro zenon_H255 ]. % 11.84/12.06 apply (zenon_L125_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ba ]. % 11.84/12.06 apply (zenon_L175_); trivial. % 11.84/12.06 apply (zenon_L462_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H2f8 ]. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_Hb5. zenon_intro zenon_H2fa. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H1c3. zenon_intro zenon_H51. % 11.84/12.06 apply (zenon_L755_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_H2fc | zenon_intro zenon_H2fb ]. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_Hdf. zenon_intro zenon_H2fd. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H145. zenon_intro zenon_H117. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H24 | zenon_intro zenon_H246 ]. % 11.84/12.06 apply (zenon_L295_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H2c | zenon_intro zenon_H247 ]. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1d. zenon_intro zenon_H2d. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2a. zenon_intro zenon_H26. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H219. zenon_intro zenon_H218. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21b. zenon_intro zenon_H21a. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21d. zenon_intro zenon_H21c. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H18c | zenon_intro zenon_H5a ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H217 | zenon_intro zenon_Hd9 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H29 | zenon_intro zenon_H208 ]. % 11.84/12.06 apply (zenon_L761_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H44 | zenon_intro zenon_H209 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.84/12.06 apply (zenon_L316_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H87 | zenon_intro zenon_H15f ]. % 11.84/12.06 apply (zenon_L97_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H160 ]. % 11.84/12.06 apply (zenon_L764_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H114 | zenon_intro zenon_H144 ]. % 11.84/12.06 apply (zenon_L275_); trivial. % 11.84/12.06 exact (zenon_H145 zenon_H144). % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.84/12.06 exact (zenon_H18c zenon_H164). % 11.84/12.06 apply (zenon_L145_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H49 | zenon_intro zenon_H51 ]. % 11.84/12.06 apply (zenon_L311_); trivial. % 11.84/12.06 apply (zenon_L313_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.06 apply (zenon_L27_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.06 apply (zenon_L314_); trivial. % 11.84/12.06 apply (zenon_L134_); trivial. % 11.84/12.06 apply (zenon_L105_); trivial. % 11.84/12.06 apply (zenon_L229_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H31 | zenon_intro zenon_H248 ]. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H2f. zenon_intro zenon_H32. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H5b. zenon_intro zenon_H26. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H219. zenon_intro zenon_H218. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21b. zenon_intro zenon_H21a. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21d. zenon_intro zenon_H21c. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H237 | zenon_intro zenon_H29 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H18c | zenon_intro zenon_H5a ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H217 | zenon_intro zenon_Hd9 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 11.84/12.06 apply (zenon_L316_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H75 | zenon_intro zenon_H82 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e6 ]. % 11.84/12.06 apply (zenon_L27_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H12c | zenon_intro zenon_H1e7 ]. % 11.84/12.06 exact (zenon_H237 zenon_H12c). % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H189 | zenon_intro zenon_H1e2 ]. % 11.84/12.06 apply (zenon_L767_); trivial. % 11.84/12.06 apply (zenon_L319_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H5e | zenon_intro zenon_H7c ]. % 11.84/12.06 apply (zenon_L48_); trivial. % 11.84/12.06 apply (zenon_L134_); trivial. % 11.84/12.06 apply (zenon_L105_); trivial. % 11.84/12.06 apply (zenon_L229_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H18c | zenon_intro zenon_H5a ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H217 | zenon_intro zenon_Hd9 ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H6d | zenon_intro zenon_Hcb ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.06 apply (zenon_L127_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.06 apply (zenon_L13_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.06 apply (zenon_L318_); trivial. % 11.84/12.06 apply (zenon_L768_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hcc ]. % 11.84/12.06 apply (zenon_L320_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H5d | zenon_intro zenon_H63 ]. % 11.84/12.06 apply (zenon_L321_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3c | zenon_intro zenon_H169 ]. % 11.84/12.06 apply (zenon_L22_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H44 | zenon_intro zenon_H16a ]. % 11.84/12.06 apply (zenon_L13_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb8 ]. % 11.84/12.06 apply (zenon_L318_); trivial. % 11.84/12.06 apply (zenon_L768_); trivial. % 11.84/12.06 apply (zenon_L105_); trivial. % 11.84/12.06 apply (zenon_L229_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H39 | zenon_intro zenon_H249 ]. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H33. zenon_intro zenon_H3a. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H67. zenon_intro zenon_H26. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H219. zenon_intro zenon_H218. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21b. zenon_intro zenon_H21a. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21d. zenon_intro zenon_H21c. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H18c | zenon_intro zenon_H5a ]. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a2 ]. % 11.84/12.06 apply (zenon_L281_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a3 ]. % 11.84/12.06 apply (zenon_L757_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H164 | zenon_intro zenon_Ha2 ]. % 11.84/12.06 exact (zenon_H18c zenon_H164). % 11.84/12.06 apply (zenon_L145_); trivial. % 11.84/12.06 apply (zenon_L229_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H40 | zenon_intro zenon_H24a ]. % 11.84/12.06 apply (zenon_L342_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H47 | zenon_intro zenon_H24b ]. % 11.84/12.06 apply (zenon_L347_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H4f | zenon_intro zenon_H24c ]. % 11.84/12.06 apply (zenon_L357_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H56 | zenon_intro zenon_H24d ]. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H51. zenon_intro zenon_H57. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Hb8. zenon_intro zenon_H42. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1da. zenon_intro zenon_H1d9. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1d6. zenon_intro zenon_H1db. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H85 ]. % 11.84/12.06 apply (zenon_L771_); trivial. % 11.84/12.06 apply (zenon_L340_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ee | zenon_intro zenon_H250 ]. % 11.84/12.06 apply (zenon_L373_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H251 ]. % 11.84/12.06 apply (zenon_L374_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H252 ]. % 11.84/12.06 apply (zenon_L375_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H11b | zenon_intro zenon_H253 ]. % 11.84/12.06 apply (zenon_L376_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H126 | zenon_intro zenon_H254 ]. % 11.84/12.06 apply (zenon_L106_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H17d | zenon_intro zenon_H255 ]. % 11.84/12.06 apply (zenon_L377_); trivial. % 11.84/12.06 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ba ]. % 11.84/12.06 apply (zenon_L378_); trivial. % 11.84/12.06 apply (zenon_L379_); trivial. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_Hf9. zenon_intro zenon_H2fe. % 11.84/12.06 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H2ff. zenon_intro zenon_Hf9. % 11.84/12.06 exact (zenon_H2ff zenon_Hf9). % 11.84/12.06 Qed. % 11.84/12.06 % SZS output end Proof % 11.84/12.06 (* END-PROOF *) % 11.84/12.06 nodes searched: 194153 % 11.84/12.06 max branch formulas: 286 % 11.84/12.06 proof nodes created: 10680 % 11.84/12.06 formulas created: 66603 % 11.84/12.06 %------------------------------------------------------------------------------