%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG106+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 14 18:29:24 EDT 2022 % Result : Theorem 65.73s 65.90s % Output : Proof 65.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : ALG106+1 : TPTP v8.1.0. Released v2.7.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n021.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Wed Jun 8 22:39:52 EDT 2022 % 0.13/0.34 % CPUTime : % 65.73/65.90 (* PROOF-FOUND *) % 65.73/65.90 % SZS status Theorem % 65.73/65.90 (* BEGIN-PROOF *) % 65.73/65.90 % SZS output start Proof % 65.73/65.90 Theorem co1 : ((((h1 (op1 (e10) (e10))) = (op2 (h1 (e10)) (h1 (e10))))/\(((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))/\(((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))/\(((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))/\(((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))/\(((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))/\(((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))/\(((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))/\(((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))/\(((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))/\(((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))/\(((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))/\(((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))/\(((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))/\(((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))/\(((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))/\((((h1 (e10)) = (e20))\/(((h1 (e11)) = (e20))\/(((h1 (e12)) = (e20))\/((h1 (e13)) = (e20)))))/\((((h1 (e10)) = (e21))\/(((h1 (e11)) = (e21))\/(((h1 (e12)) = (e21))\/((h1 (e13)) = (e21)))))/\((((h1 (e10)) = (e22))\/(((h1 (e11)) = (e22))\/(((h1 (e12)) = (e22))\/((h1 (e13)) = (e22)))))/\(((h1 (e10)) = (e23))\/(((h1 (e11)) = (e23))\/(((h1 (e12)) = (e23))\/((h1 (e13)) = (e23))))))))))))))))))))))))\/((((h2 (op1 (e10) (e10))) = (op2 (h2 (e10)) (h2 (e10))))/\(((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))/\(((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12))))/\(((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))/\(((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10))))/\(((h2 (op1 (e11) (e11))) = (op2 (h2 (e11)) (h2 (e11))))/\(((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))/\(((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))/\(((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10))))/\(((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))/\(((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))/\(((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))/\(((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))/\(((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))/\(((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))/\(((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))/\((((h2 (e10)) = (e20))\/(((h2 (e11)) = (e20))\/(((h2 (e12)) = (e20))\/((h2 (e13)) = (e20)))))/\((((h2 (e10)) = (e21))\/(((h2 (e11)) = (e21))\/(((h2 (e12)) = (e21))\/((h2 (e13)) = (e21)))))/\((((h2 (e10)) = (e22))\/(((h2 (e11)) = (e22))\/(((h2 (e12)) = (e22))\/((h2 (e13)) = (e22)))))/\(((h2 (e10)) = (e23))\/(((h2 (e11)) = (e23))\/(((h2 (e12)) = (e23))\/((h2 (e13)) = (e23))))))))))))))))))))))))\/((((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))/\(((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))/\(((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12))))/\(((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))/\(((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))/\(((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))/\(((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))/\(((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))/\(((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))/\(((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))/\(((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12))))/\(((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))/\(((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))/\(((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))/\(((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))/\(((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))/\((((h3 (e10)) = (e20))\/(((h3 (e11)) = (e20))\/(((h3 (e12)) = (e20))\/((h3 (e13)) = (e20)))))/\((((h3 (e10)) = (e21))\/(((h3 (e11)) = (e21))\/(((h3 (e12)) = (e21))\/((h3 (e13)) = (e21)))))/\((((h3 (e10)) = (e22))\/(((h3 (e11)) = (e22))\/(((h3 (e12)) = (e22))\/((h3 (e13)) = (e22)))))/\(((h3 (e10)) = (e23))\/(((h3 (e11)) = (e23))\/(((h3 (e12)) = (e23))\/((h3 (e13)) = (e23))))))))))))))))))))))))\/(((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))/\(((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))/\(((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))/\(((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))/\(((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))/\(((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))/\(((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))/\(((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))/\(((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))/\(((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))/\(((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))/\(((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))/\(((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))/\(((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))/\(((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))/\(((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13))))/\((((h4 (e10)) = (e20))\/(((h4 (e11)) = (e20))\/(((h4 (e12)) = (e20))\/((h4 (e13)) = (e20)))))/\((((h4 (e10)) = (e21))\/(((h4 (e11)) = (e21))\/(((h4 (e12)) = (e21))\/((h4 (e13)) = (e21)))))/\((((h4 (e10)) = (e22))\/(((h4 (e11)) = (e22))\/(((h4 (e12)) = (e22))\/((h4 (e13)) = (e22)))))/\(((h4 (e10)) = (e23))\/(((h4 (e11)) = (e23))\/(((h4 (e12)) = (e23))\/((h4 (e13)) = (e23))))))))))))))))))))))))))). % 65.73/65.90 Proof. % 65.73/65.90 assert (zenon_L1_ : (((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> False). % 65.73/65.90 do 0 intro. intros zenon_H12. % 65.73/65.90 apply (zenon_and_s _ _ zenon_H12). zenon_intro zenon_H14. zenon_intro zenon_H13. % 65.73/65.90 apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H14. zenon_intro zenon_H15. % 65.73/65.90 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.73/65.90 exact (zenon_H17 zenon_H14). % 65.73/65.90 (* end of lemma zenon_L1_ *) % 65.73/65.90 assert (zenon_L2_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21)))))))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.90 do 0 intro. intros zenon_H18 zenon_H19. % 65.73/65.90 apply (zenon_and_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 65.73/65.90 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 65.73/65.90 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 65.73/65.90 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 65.73/65.90 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 65.73/65.90 apply zenon_H22. apply sym_equal. exact zenon_H19. % 65.73/65.90 (* end of lemma zenon_L2_ *) % 65.73/65.90 assert (zenon_L3_ : (~((e23) = (e23))) -> False). % 65.73/65.90 do 0 intro. intros zenon_H24. % 65.73/65.90 apply zenon_H24. apply refl_equal. % 65.73/65.90 (* end of lemma zenon_L3_ *) % 65.73/65.90 assert (zenon_L4_ : (~((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.73/65.90 do 0 intro. intros zenon_H25 zenon_H26. % 65.73/65.90 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 65.73/65.90 cut (((op2 (e23) (op2 (e23) (e23))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 65.73/65.90 congruence. % 65.73/65.90 apply zenon_H27. apply sym_equal. exact zenon_H26. % 65.73/65.90 apply zenon_H24. apply refl_equal. % 65.73/65.90 (* end of lemma zenon_L4_ *) % 65.73/65.90 assert (zenon_L5_ : (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e20)) = (e20)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.73/65.90 do 0 intro. intros zenon_H28 zenon_H29 zenon_H2a zenon_H26. % 65.73/65.90 cut (((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e22) (e20)) = (op2 (e22) (e23)))). % 65.73/65.90 intro zenon_D_pnotp. % 65.73/65.90 apply zenon_H28. % 65.73/65.90 rewrite <- zenon_D_pnotp. % 65.73/65.90 exact zenon_H29. % 65.73/65.90 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25]. % 65.73/65.90 cut (((e20) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 65.73/65.90 congruence. % 65.73/65.90 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H2c | zenon_intro zenon_H2d ]. % 65.73/65.90 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e20) = (op2 (e22) (e20)))). % 65.73/65.90 intro zenon_D_pnotp. % 65.73/65.90 apply zenon_H2b. % 65.73/65.90 rewrite <- zenon_D_pnotp. % 65.73/65.90 exact zenon_H2c. % 65.73/65.90 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 65.73/65.90 cut (((op2 (e22) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2e]. % 65.73/65.90 congruence. % 65.73/65.90 exact (zenon_H2e zenon_H2a). % 65.73/65.90 apply zenon_H2d. apply refl_equal. % 65.73/65.90 apply zenon_H2d. apply refl_equal. % 65.73/65.90 apply (zenon_L4_); trivial. % 65.73/65.90 (* end of lemma zenon_L5_ *) % 65.73/65.90 assert (zenon_L6_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.73/65.90 do 0 intro. intros zenon_H2f zenon_H28 zenon_H29 zenon_H26. % 65.73/65.90 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30. % 65.73/65.90 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2a. zenon_intro zenon_H32. % 65.73/65.90 apply (zenon_L5_); trivial. % 65.73/65.90 (* end of lemma zenon_L6_ *) % 65.73/65.90 assert (zenon_L7_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e20) (e23)) = (e20)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.73/65.90 do 0 intro. intros zenon_H33 zenon_H29 zenon_H34 zenon_H26. % 65.73/65.90 cut (((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))). % 65.73/65.90 intro zenon_D_pnotp. % 65.73/65.90 apply zenon_H33. % 65.73/65.90 rewrite <- zenon_D_pnotp. % 65.73/65.90 exact zenon_H29. % 65.73/65.90 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25]. % 65.73/65.90 cut (((e20) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H35]. % 65.73/65.90 congruence. % 65.73/65.90 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 65.73/65.90 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e20) = (op2 (e20) (e23)))). % 65.73/65.90 intro zenon_D_pnotp. % 65.73/65.90 apply zenon_H35. % 65.73/65.90 rewrite <- zenon_D_pnotp. % 65.73/65.90 exact zenon_H36. % 65.73/65.90 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 65.73/65.90 cut (((op2 (e20) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 65.73/65.90 congruence. % 65.73/65.90 exact (zenon_H38 zenon_H34). % 65.73/65.90 apply zenon_H37. apply refl_equal. % 65.73/65.90 apply zenon_H37. apply refl_equal. % 65.73/65.90 apply (zenon_L4_); trivial. % 65.73/65.90 (* end of lemma zenon_L7_ *) % 65.73/65.90 assert (zenon_L8_ : (((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23)))))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.73/65.90 do 0 intro. intros zenon_H39 zenon_H33 zenon_H29 zenon_H26. % 65.73/65.90 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H34. zenon_intro zenon_H3a. % 65.73/65.90 apply (zenon_L7_); trivial. % 65.73/65.90 (* end of lemma zenon_L8_ *) % 65.73/65.90 assert (zenon_L9_ : (~((e20) = (e20))) -> False). % 65.73/65.90 do 0 intro. intros zenon_H3b. % 65.73/65.90 apply zenon_H3b. apply refl_equal. % 65.73/65.90 (* end of lemma zenon_L9_ *) % 65.73/65.90 assert (zenon_L10_ : (~((op2 (e20) (e20)) = (op2 (e20) (op2 (e20) (e21))))) -> ((op2 (e20) (e21)) = (e20)) -> False). % 65.73/65.90 do 0 intro. intros zenon_H3c zenon_H1b. % 65.73/65.90 cut (((e20) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 65.73/65.90 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 65.73/65.90 congruence. % 65.73/65.90 apply zenon_H3b. apply refl_equal. % 65.73/65.90 apply zenon_H3d. apply sym_equal. exact zenon_H1b. % 65.73/65.90 (* end of lemma zenon_L10_ *) % 65.73/65.90 assert (zenon_L11_ : (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> ((op2 (e20) (e21)) = (e20)) -> ((op2 (e21) (e20)) = (e20)) -> False). % 65.73/65.90 do 0 intro. intros zenon_H3e zenon_H3f zenon_H1b zenon_H1d. % 65.73/65.90 cut (((op2 (e20) (op2 (e20) (e21))) = (e20)) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))). % 65.73/65.90 intro zenon_D_pnotp. % 65.73/65.90 apply zenon_H3e. % 65.73/65.90 rewrite <- zenon_D_pnotp. % 65.73/65.90 exact zenon_H3f. % 65.73/65.90 cut (((e20) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 65.73/65.90 cut (((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 65.73/65.90 congruence. % 65.73/65.90 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H42 | zenon_intro zenon_H43 ]. % 65.73/65.90 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (e20)))). % 65.73/65.90 intro zenon_D_pnotp. % 65.73/65.90 apply zenon_H41. % 65.73/65.90 rewrite <- zenon_D_pnotp. % 65.73/65.90 exact zenon_H42. % 65.73/65.90 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 65.73/65.90 cut (((op2 (e20) (e20)) = (op2 (e20) (op2 (e20) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 65.73/65.90 congruence. % 65.73/65.90 apply (zenon_L10_); trivial. % 65.73/65.90 apply zenon_H43. apply refl_equal. % 65.73/65.90 apply zenon_H43. apply refl_equal. % 65.73/65.90 apply zenon_H40. apply sym_equal. exact zenon_H1d. % 65.73/65.90 (* end of lemma zenon_L11_ *) % 65.73/65.90 assert (zenon_L12_ : (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e21)) = (e20)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.73/65.90 do 0 intro. intros zenon_H44 zenon_H29 zenon_H45 zenon_H26. % 65.73/65.90 cut (((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e22) (e21)) = (op2 (e22) (e23)))). % 65.73/65.90 intro zenon_D_pnotp. % 65.73/65.90 apply zenon_H44. % 65.73/65.90 rewrite <- zenon_D_pnotp. % 65.73/65.90 exact zenon_H29. % 65.73/65.90 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25]. % 65.73/65.90 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 65.73/65.90 congruence. % 65.73/65.90 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H47 | zenon_intro zenon_H48 ]. % 65.73/65.90 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e20) = (op2 (e22) (e21)))). % 65.73/65.90 intro zenon_D_pnotp. % 65.73/65.90 apply zenon_H46. % 65.73/65.90 rewrite <- zenon_D_pnotp. % 65.73/65.90 exact zenon_H47. % 65.73/65.90 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 65.73/65.90 cut (((op2 (e22) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 65.73/65.90 congruence. % 65.73/65.90 exact (zenon_H49 zenon_H45). % 65.73/65.90 apply zenon_H48. apply refl_equal. % 65.73/65.90 apply zenon_H48. apply refl_equal. % 65.73/65.90 apply (zenon_L4_); trivial. % 65.73/65.90 (* end of lemma zenon_L12_ *) % 65.73/65.90 assert (zenon_L13_ : (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e20)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.73/65.90 do 0 intro. intros zenon_H4a zenon_H29 zenon_H4b zenon_H26. % 65.73/65.90 cut (((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e22) (e22)) = (op2 (e22) (e23)))). % 65.73/65.90 intro zenon_D_pnotp. % 65.73/65.90 apply zenon_H4a. % 65.73/65.90 rewrite <- zenon_D_pnotp. % 65.73/65.90 exact zenon_H29. % 65.73/65.90 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25]. % 65.73/65.90 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 65.73/65.90 congruence. % 65.73/65.90 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ]. % 65.73/65.90 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((e20) = (op2 (e22) (e22)))). % 65.73/65.90 intro zenon_D_pnotp. % 65.73/65.90 apply zenon_H4c. % 65.73/65.90 rewrite <- zenon_D_pnotp. % 65.73/65.90 exact zenon_H4d. % 65.73/65.90 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 65.73/65.90 cut (((op2 (e22) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H4f]. % 65.73/65.90 congruence. % 65.73/65.90 exact (zenon_H4f zenon_H4b). % 65.73/65.90 apply zenon_H4e. apply refl_equal. % 65.73/65.90 apply zenon_H4e. apply refl_equal. % 65.73/65.90 apply (zenon_L4_); trivial. % 65.73/65.90 (* end of lemma zenon_L13_ *) % 65.73/65.90 assert (zenon_L14_ : (~((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e20) (e21)))) -> ((op2 (e22) (e23)) = (e20)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e20)) -> False). % 65.73/65.90 do 0 intro. intros zenon_H50 zenon_H51 zenon_H26 zenon_H1b. % 65.73/65.90 cut (((op2 (e22) (e23)) = (e20)) = ((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e20) (e21)))). % 65.73/65.90 intro zenon_D_pnotp. % 65.73/65.90 apply zenon_H50. % 65.73/65.90 rewrite <- zenon_D_pnotp. % 65.73/65.90 exact zenon_H51. % 65.73/65.90 cut (((e20) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 65.73/65.90 cut (((op2 (e22) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 65.73/65.90 congruence. % 65.73/65.90 elim (classic ((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))); [ zenon_intro zenon_H53 | zenon_intro zenon_H54 ]. % 65.73/65.90 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e22) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))). % 65.73/65.90 intro zenon_D_pnotp. % 65.73/65.90 apply zenon_H52. % 65.73/65.90 rewrite <- zenon_D_pnotp. % 65.73/65.90 exact zenon_H53. % 65.73/65.90 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 65.73/65.90 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25]. % 65.73/65.90 congruence. % 65.73/65.90 apply (zenon_L4_); trivial. % 65.73/65.90 apply zenon_H54. apply refl_equal. % 65.73/65.90 apply zenon_H54. apply refl_equal. % 65.73/65.90 apply zenon_H3d. apply sym_equal. exact zenon_H1b. % 65.73/65.90 (* end of lemma zenon_L14_ *) % 65.73/65.90 assert (zenon_L15_ : ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e20) (e21)) = (e20)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 65.73/65.90 do 0 intro. intros zenon_H29 zenon_H55 zenon_H51 zenon_H1b zenon_H26 zenon_H56. % 65.73/65.90 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H57 | zenon_intro zenon_H58 ]. % 65.73/65.90 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))). % 65.73/65.90 intro zenon_D_pnotp. % 65.73/65.90 apply zenon_H56. % 65.73/65.90 rewrite <- zenon_D_pnotp. % 65.73/65.90 exact zenon_H57. % 65.73/65.90 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 65.73/65.90 cut (((op2 (e23) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 65.73/65.90 congruence. % 65.73/65.90 cut (((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e23) (e21)) = (op2 (e20) (e21)))). % 65.73/65.90 intro zenon_D_pnotp. % 65.73/65.90 apply zenon_H59. % 65.73/65.90 rewrite <- zenon_D_pnotp. % 65.73/65.90 exact zenon_H29. % 65.73/65.90 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H50]. % 65.73/65.90 cut (((e20) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 65.73/65.90 congruence. % 65.73/65.90 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H57 | zenon_intro zenon_H58 ]. % 65.73/65.90 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e20) = (op2 (e23) (e21)))). % 65.73/65.90 intro zenon_D_pnotp. % 65.73/65.90 apply zenon_H5a. % 65.73/65.90 rewrite <- zenon_D_pnotp. % 65.73/65.90 exact zenon_H57. % 65.73/65.90 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 65.73/65.90 cut (((op2 (e23) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 65.73/65.90 congruence. % 65.73/65.90 exact (zenon_H5b zenon_H55). % 65.73/65.90 apply zenon_H58. apply refl_equal. % 65.73/65.90 apply zenon_H58. apply refl_equal. % 65.73/65.90 apply (zenon_L14_); trivial. % 65.73/65.90 apply zenon_H58. apply refl_equal. % 65.73/65.90 apply zenon_H58. apply refl_equal. % 65.73/65.90 (* end of lemma zenon_L15_ *) % 65.73/65.90 assert (zenon_L16_ : (~((op2 (e20) (e21)) = (op2 (e20) (op2 (e20) (e21))))) -> ((op2 (e20) (e21)) = (e21)) -> False). % 65.73/65.90 do 0 intro. intros zenon_H5c zenon_H5d. % 65.73/65.90 cut (((e21) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 65.73/65.90 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 65.73/65.90 congruence. % 65.73/65.90 apply zenon_H3b. apply refl_equal. % 65.73/65.90 apply zenon_H5e. apply sym_equal. exact zenon_H5d. % 65.73/65.90 (* end of lemma zenon_L16_ *) % 65.73/65.90 assert (zenon_L17_ : (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e23) (e21)) = (e20)) -> False). % 65.73/65.90 do 0 intro. intros zenon_H56 zenon_H3f zenon_H5d zenon_H55. % 65.73/65.90 cut (((op2 (e20) (op2 (e20) (e21))) = (e20)) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))). % 65.73/65.90 intro zenon_D_pnotp. % 65.73/65.90 apply zenon_H56. % 65.73/65.90 rewrite <- zenon_D_pnotp. % 65.73/65.90 exact zenon_H3f. % 65.73/65.90 cut (((e20) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 65.73/65.90 cut (((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5f]. % 65.73/65.90 congruence. % 65.73/65.90 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 65.73/65.90 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (e21)))). % 65.73/65.90 intro zenon_D_pnotp. % 65.73/65.90 apply zenon_H5f. % 65.73/65.90 rewrite <- zenon_D_pnotp. % 65.73/65.90 exact zenon_H60. % 65.73/65.90 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 65.73/65.90 cut (((op2 (e20) (e21)) = (op2 (e20) (op2 (e20) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 65.73/65.90 congruence. % 65.73/65.90 apply (zenon_L16_); trivial. % 65.73/65.90 apply zenon_H61. apply refl_equal. % 65.73/65.90 apply zenon_H61. apply refl_equal. % 65.73/65.90 apply zenon_H5a. apply sym_equal. exact zenon_H55. % 65.73/65.90 (* end of lemma zenon_L17_ *) % 65.73/65.90 assert (zenon_L18_ : (~((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.90 do 0 intro. intros zenon_H62 zenon_H19. % 65.73/65.90 cut (((op2 (e23) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 65.73/65.90 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 65.73/65.90 congruence. % 65.73/65.90 apply zenon_H24. apply refl_equal. % 65.73/65.90 apply zenon_H22. apply sym_equal. exact zenon_H19. % 65.73/65.90 (* end of lemma zenon_L18_ *) % 65.73/65.90 assert (zenon_L19_ : (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.90 do 0 intro. intros zenon_H56 zenon_H26 zenon_H63 zenon_H19. % 65.73/65.90 cut (((e22) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))). % 65.73/65.90 intro zenon_D_pnotp. % 65.73/65.90 apply zenon_H56. % 65.73/65.90 rewrite <- zenon_D_pnotp. % 65.73/65.90 exact zenon_H26. % 65.73/65.90 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 65.73/65.90 cut (((e22) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 65.73/65.91 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e22) = (op2 (e20) (e21)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H64. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H60. % 65.73/65.91 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 65.73/65.91 cut (((op2 (e20) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H65]. % 65.73/65.91 congruence. % 65.73/65.91 exact (zenon_H65 zenon_H63). % 65.73/65.91 apply zenon_H61. apply refl_equal. % 65.73/65.91 apply zenon_H61. apply refl_equal. % 65.73/65.91 apply (zenon_L18_); trivial. % 65.73/65.91 (* end of lemma zenon_L19_ *) % 65.73/65.91 assert (zenon_L20_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H33 zenon_H3f zenon_H66 zenon_H51. % 65.73/65.91 cut (((op2 (e20) (op2 (e20) (e21))) = (e20)) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H33. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H3f. % 65.73/65.91 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H67]. % 65.73/65.91 cut (((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H68]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 65.73/65.91 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (e23)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H68. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H36. % 65.73/65.91 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 65.73/65.91 cut (((op2 (e20) (e23)) = (op2 (e20) (op2 (e20) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H69]. % 65.73/65.91 congruence. % 65.73/65.91 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H6a]. % 65.73/65.91 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 65.73/65.91 congruence. % 65.73/65.91 apply zenon_H3b. apply refl_equal. % 65.73/65.91 apply zenon_H6a. apply sym_equal. exact zenon_H66. % 65.73/65.91 apply zenon_H37. apply refl_equal. % 65.73/65.91 apply zenon_H37. apply refl_equal. % 65.73/65.91 apply zenon_H67. apply sym_equal. exact zenon_H51. % 65.73/65.91 (* end of lemma zenon_L20_ *) % 65.73/65.91 assert (zenon_L21_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> ((op2 (e22) (e23)) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H6b zenon_H29 zenon_H55 zenon_H19 zenon_H26 zenon_H56 zenon_H33 zenon_H3f zenon_H51. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H1b | zenon_intro zenon_H6c ]. % 65.73/65.91 apply (zenon_L15_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H5d | zenon_intro zenon_H6d ]. % 65.73/65.91 apply (zenon_L17_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H63 | zenon_intro zenon_H66 ]. % 65.73/65.91 apply (zenon_L19_); trivial. % 65.73/65.91 apply (zenon_L20_); trivial. % 65.73/65.91 (* end of lemma zenon_L21_ *) % 65.73/65.91 assert (zenon_L22_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H6b zenon_H29 zenon_H55 zenon_H19 zenon_H26 zenon_H56 zenon_H33 zenon_H3f. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.73/65.91 apply (zenon_L5_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.73/65.91 apply (zenon_L12_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.73/65.91 apply (zenon_L13_); trivial. % 65.73/65.91 apply (zenon_L21_); trivial. % 65.73/65.91 (* end of lemma zenon_L22_ *) % 65.73/65.91 assert (zenon_L23_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H71 zenon_H1d zenon_H3e zenon_H72 zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H6b zenon_H29 zenon_H19 zenon_H26 zenon_H56 zenon_H33 zenon_H3f. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H1b | zenon_intro zenon_H73 ]. % 65.73/65.91 apply (zenon_L11_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 65.73/65.91 exact (zenon_H72 zenon_H75). % 65.73/65.91 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H45 | zenon_intro zenon_H55 ]. % 65.73/65.91 apply (zenon_L12_); trivial. % 65.73/65.91 apply (zenon_L22_); trivial. % 65.73/65.91 (* end of lemma zenon_L23_ *) % 65.73/65.91 assert (zenon_L24_ : (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> ((op2 (e20) (e21)) = (e20)) -> ((op2 (e23) (e20)) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H76 zenon_H3f zenon_H1b zenon_H77. % 65.73/65.91 cut (((op2 (e20) (op2 (e20) (e21))) = (e20)) = ((op2 (e20) (e20)) = (op2 (e23) (e20)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H76. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H3f. % 65.73/65.91 cut (((e20) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H78]. % 65.73/65.91 cut (((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H42 | zenon_intro zenon_H43 ]. % 65.73/65.91 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (e20)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H41. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H42. % 65.73/65.91 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 65.73/65.91 cut (((op2 (e20) (e20)) = (op2 (e20) (op2 (e20) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 65.73/65.91 congruence. % 65.73/65.91 apply (zenon_L10_); trivial. % 65.73/65.91 apply zenon_H43. apply refl_equal. % 65.73/65.91 apply zenon_H43. apply refl_equal. % 65.73/65.91 apply zenon_H78. apply sym_equal. exact zenon_H77. % 65.73/65.91 (* end of lemma zenon_L24_ *) % 65.73/65.91 assert (zenon_L25_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H79 zenon_H17 zenon_H3e zenon_H71 zenon_H76 zenon_H72 zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H6b zenon_H29 zenon_H19 zenon_H26 zenon_H56 zenon_H33 zenon_H3f. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H14 | zenon_intro zenon_H7a ]. % 65.73/65.91 exact (zenon_H17 zenon_H14). % 65.73/65.91 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 65.73/65.91 apply (zenon_L23_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H2a | zenon_intro zenon_H77 ]. % 65.73/65.91 apply (zenon_L5_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H1b | zenon_intro zenon_H73 ]. % 65.73/65.91 apply (zenon_L24_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 65.73/65.91 exact (zenon_H72 zenon_H75). % 65.73/65.91 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H45 | zenon_intro zenon_H55 ]. % 65.73/65.91 apply (zenon_L12_); trivial. % 65.73/65.91 apply (zenon_L22_); trivial. % 65.73/65.91 (* end of lemma zenon_L25_ *) % 65.73/65.91 assert (zenon_L26_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H7c zenon_H79 zenon_H3e zenon_H71 zenon_H76 zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H6b zenon_H29 zenon_H19 zenon_H26 zenon_H56 zenon_H33 zenon_H3f. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7e. zenon_intro zenon_H7d. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H5d. zenon_intro zenon_H15. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.73/65.91 apply (zenon_L25_); trivial. % 65.73/65.91 (* end of lemma zenon_L26_ *) % 65.73/65.91 assert (zenon_L27_ : (((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21)))))))) -> False). % 65.73/65.91 do 0 intro. intros zenon_H80. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H82. zenon_intro zenon_H81. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H82. zenon_intro zenon_H1c. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 65.73/65.91 exact (zenon_H21 zenon_H82). % 65.73/65.91 (* end of lemma zenon_L27_ *) % 65.73/65.91 assert (zenon_L28_ : (~((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e21) (e20)))) -> ((op2 (e22) (e23)) = (e20)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H83 zenon_H51 zenon_H26 zenon_H1d. % 65.73/65.91 cut (((op2 (e22) (e23)) = (e20)) = ((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e21) (e20)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H83. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H51. % 65.73/65.91 cut (((e20) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 65.73/65.91 cut (((op2 (e22) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))); [ zenon_intro zenon_H53 | zenon_intro zenon_H54 ]. % 65.73/65.91 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e22) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H52. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H53. % 65.73/65.91 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 65.73/65.91 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25]. % 65.73/65.91 congruence. % 65.73/65.91 apply (zenon_L4_); trivial. % 65.73/65.91 apply zenon_H54. apply refl_equal. % 65.73/65.91 apply zenon_H54. apply refl_equal. % 65.73/65.91 apply zenon_H40. apply sym_equal. exact zenon_H1d. % 65.73/65.91 (* end of lemma zenon_L28_ *) % 65.73/65.91 assert (zenon_L29_ : (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e21) (e20)) = (e20)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.73/65.91 do 0 intro. intros zenon_H3e zenon_H29 zenon_H14 zenon_H51 zenon_H1d zenon_H26. % 65.73/65.91 cut (((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H3e. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H29. % 65.73/65.91 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H83]. % 65.73/65.91 cut (((e20) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H42 | zenon_intro zenon_H43 ]. % 65.73/65.91 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((e20) = (op2 (e20) (e20)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H84. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H42. % 65.73/65.91 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 65.73/65.91 cut (((op2 (e20) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 65.73/65.91 congruence. % 65.73/65.91 exact (zenon_H17 zenon_H14). % 65.73/65.91 apply zenon_H43. apply refl_equal. % 65.73/65.91 apply zenon_H43. apply refl_equal. % 65.73/65.91 apply (zenon_L28_); trivial. % 65.73/65.91 (* end of lemma zenon_L29_ *) % 65.73/65.91 assert (zenon_L30_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e21) (e20)) = (e20)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.73/65.91 do 0 intro. intros zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H3e zenon_H29 zenon_H14 zenon_H1d zenon_H26. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.73/65.91 apply (zenon_L5_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.73/65.91 apply (zenon_L12_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.73/65.91 apply (zenon_L13_); trivial. % 65.73/65.91 apply (zenon_L29_); trivial. % 65.73/65.91 (* end of lemma zenon_L30_ *) % 65.73/65.91 assert (zenon_L31_ : ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e20) (e21)) = (e20)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False). % 65.73/65.91 do 0 intro. intros zenon_H29 zenon_H75 zenon_H51 zenon_H1b zenon_H26 zenon_H85. % 65.73/65.91 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H86 | zenon_intro zenon_H87 ]. % 65.73/65.91 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H85. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H86. % 65.73/65.91 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 65.73/65.91 cut (((op2 (e21) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 65.73/65.91 congruence. % 65.73/65.91 cut (((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e21) (e21)) = (op2 (e20) (e21)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H88. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H29. % 65.73/65.91 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H50]. % 65.73/65.91 cut (((e20) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H89]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H86 | zenon_intro zenon_H87 ]. % 65.73/65.91 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((e20) = (op2 (e21) (e21)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H89. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H86. % 65.73/65.91 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 65.73/65.91 cut (((op2 (e21) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 65.73/65.91 congruence. % 65.73/65.91 exact (zenon_H72 zenon_H75). % 65.73/65.91 apply zenon_H87. apply refl_equal. % 65.73/65.91 apply zenon_H87. apply refl_equal. % 65.73/65.91 apply (zenon_L14_); trivial. % 65.73/65.91 apply zenon_H87. apply refl_equal. % 65.73/65.91 apply zenon_H87. apply refl_equal. % 65.73/65.91 (* end of lemma zenon_L31_ *) % 65.73/65.91 assert (zenon_L32_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e20) (e21)) = (e20)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False). % 65.73/65.91 do 0 intro. intros zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H29 zenon_H75 zenon_H1b zenon_H26 zenon_H85. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.73/65.91 apply (zenon_L5_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.73/65.91 apply (zenon_L12_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.73/65.91 apply (zenon_L13_); trivial. % 65.73/65.91 apply (zenon_L31_); trivial. % 65.73/65.91 (* end of lemma zenon_L32_ *) % 65.73/65.91 assert (zenon_L33_ : (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e21)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.91 do 0 intro. intros zenon_H8a zenon_H26 zenon_H8b zenon_H19. % 65.73/65.91 cut (((e22) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H8a. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H26. % 65.73/65.91 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 65.73/65.91 cut (((e22) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H47 | zenon_intro zenon_H48 ]. % 65.73/65.91 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e22) = (op2 (e22) (e21)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H8c. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H47. % 65.73/65.91 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 65.73/65.91 cut (((op2 (e22) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 65.73/65.91 congruence. % 65.73/65.91 exact (zenon_H8d zenon_H8b). % 65.73/65.91 apply zenon_H48. apply refl_equal. % 65.73/65.91 apply zenon_H48. apply refl_equal. % 65.73/65.91 apply (zenon_L18_); trivial. % 65.73/65.91 (* end of lemma zenon_L33_ *) % 65.73/65.91 assert (zenon_L34_ : (~((op2 (e20) (e20)) = (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e20) (e20)) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H8e zenon_H14. % 65.73/65.91 cut (((e20) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 65.73/65.91 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 65.73/65.91 congruence. % 65.73/65.91 apply zenon_H3b. apply refl_equal. % 65.73/65.91 apply zenon_H84. apply sym_equal. exact zenon_H14. % 65.73/65.91 (* end of lemma zenon_L34_ *) % 65.73/65.91 assert (zenon_L35_ : (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e23) (e20)) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H76 zenon_H8f zenon_H14 zenon_H77. % 65.73/65.91 cut (((op2 (e20) (op2 (e20) (e20))) = (e20)) = ((op2 (e20) (e20)) = (op2 (e23) (e20)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H76. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H8f. % 65.73/65.91 cut (((e20) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H78]. % 65.73/65.91 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H42 | zenon_intro zenon_H43 ]. % 65.73/65.91 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H90. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H42. % 65.73/65.91 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 65.73/65.91 cut (((op2 (e20) (e20)) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H8e]. % 65.73/65.91 congruence. % 65.73/65.91 apply (zenon_L34_); trivial. % 65.73/65.91 apply zenon_H43. apply refl_equal. % 65.73/65.91 apply zenon_H43. apply refl_equal. % 65.73/65.91 apply zenon_H78. apply sym_equal. exact zenon_H77. % 65.73/65.91 (* end of lemma zenon_L35_ *) % 65.73/65.91 assert (zenon_L36_ : (~((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e23)) = (e20)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H91 zenon_H51 zenon_H26 zenon_H92. % 65.73/65.91 cut (((op2 (e22) (e23)) = (e20)) = ((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e23) (e22)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H91. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H51. % 65.73/65.91 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 65.73/65.91 cut (((op2 (e22) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))); [ zenon_intro zenon_H53 | zenon_intro zenon_H54 ]. % 65.73/65.91 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e22) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H52. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H53. % 65.73/65.91 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 65.73/65.91 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25]. % 65.73/65.91 congruence. % 65.73/65.91 apply (zenon_L4_); trivial. % 65.73/65.91 apply zenon_H54. apply refl_equal. % 65.73/65.91 apply zenon_H54. apply refl_equal. % 65.73/65.91 apply zenon_H93. apply sym_equal. exact zenon_H92. % 65.73/65.91 (* end of lemma zenon_L36_ *) % 65.73/65.91 assert (zenon_L37_ : ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False). % 65.73/65.91 do 0 intro. intros zenon_H26 zenon_H94 zenon_H95 zenon_H96. % 65.73/65.91 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H57 | zenon_intro zenon_H58 ]. % 65.73/65.91 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H96. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H57. % 65.73/65.91 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 65.73/65.91 cut (((op2 (e23) (e21)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H97]. % 65.73/65.91 congruence. % 65.73/65.91 cut (((e22) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e23) (e21)) = (op2 (e23) (e20)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H97. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H26. % 65.73/65.91 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 65.73/65.91 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H57 | zenon_intro zenon_H58 ]. % 65.73/65.91 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e22) = (op2 (e23) (e21)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H99. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H57. % 65.73/65.91 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 65.73/65.91 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 65.73/65.91 congruence. % 65.73/65.91 exact (zenon_H9a zenon_H94). % 65.73/65.91 apply zenon_H58. apply refl_equal. % 65.73/65.91 apply zenon_H58. apply refl_equal. % 65.73/65.91 cut (((op2 (e23) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 65.73/65.91 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 65.73/65.91 congruence. % 65.73/65.91 apply zenon_H24. apply refl_equal. % 65.73/65.91 exact (zenon_H9b zenon_H95). % 65.73/65.91 apply zenon_H58. apply refl_equal. % 65.73/65.91 apply zenon_H58. apply refl_equal. % 65.73/65.91 (* end of lemma zenon_L37_ *) % 65.73/65.91 assert (zenon_L38_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e21) (e22)) = (e20)) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False). % 65.73/65.91 do 0 intro. intros zenon_H9c zenon_H9d zenon_H8a zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H9e zenon_H14 zenon_H8f zenon_H76 zenon_H3f zenon_H33 zenon_H56 zenon_H19 zenon_H6b zenon_H9f zenon_H29 zenon_Ha0 zenon_H26 zenon_H96. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.73/65.91 apply (zenon_L19_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.73/65.91 exact (zenon_H9d zenon_Ha3). % 65.73/65.91 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.73/65.91 apply (zenon_L33_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.73/65.91 apply (zenon_L5_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.73/65.91 apply (zenon_L12_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.73/65.91 apply (zenon_L13_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H77 | zenon_intro zenon_Ha4 ]. % 65.73/65.91 apply (zenon_L35_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha5 ]. % 65.73/65.91 apply (zenon_L21_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 65.73/65.91 cut (((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_Ha0. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H29. % 65.73/65.91 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H91]. % 65.73/65.91 cut (((e20) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 65.73/65.91 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e20) = (op2 (e21) (e22)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_Ha6. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_Ha7. % 65.73/65.91 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 65.73/65.91 cut (((op2 (e21) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 65.73/65.91 congruence. % 65.73/65.91 exact (zenon_Ha9 zenon_H9f). % 65.73/65.91 apply zenon_Ha8. apply refl_equal. % 65.73/65.91 apply zenon_Ha8. apply refl_equal. % 65.73/65.91 apply (zenon_L36_); trivial. % 65.73/65.91 apply (zenon_L37_); trivial. % 65.73/65.91 (* end of lemma zenon_L38_ *) % 65.73/65.91 assert (zenon_L39_ : (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e21) (e23)) = (e20)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.73/65.91 do 0 intro. intros zenon_Haa zenon_H29 zenon_Hab zenon_H26. % 65.73/65.91 cut (((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_Haa. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H29. % 65.73/65.91 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25]. % 65.73/65.91 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hac]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 65.73/65.91 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e20) = (op2 (e21) (e23)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_Hac. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_Had. % 65.73/65.91 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 65.73/65.91 cut (((op2 (e21) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 65.73/65.91 congruence. % 65.73/65.91 exact (zenon_Haf zenon_Hab). % 65.73/65.91 apply zenon_Hae. apply refl_equal. % 65.73/65.91 apply zenon_Hae. apply refl_equal. % 65.73/65.91 apply (zenon_L4_); trivial. % 65.73/65.91 (* end of lemma zenon_L39_ *) % 65.73/65.91 assert (zenon_L40_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> ((op2 (e20) (e21)) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H79 zenon_Haa zenon_H9c zenon_H9d zenon_H8a zenon_H6e zenon_H44 zenon_H4a zenon_H9e zenon_H8f zenon_H33 zenon_H56 zenon_H19 zenon_H6b zenon_Ha0 zenon_H96 zenon_H85 zenon_Hb0 zenon_H3e zenon_H26 zenon_H29 zenon_H28 zenon_H76 zenon_H3f zenon_H1b. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H14 | zenon_intro zenon_H7a ]. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H1d | zenon_intro zenon_Hb1 ]. % 65.73/65.91 apply (zenon_L30_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb2 ]. % 65.73/65.91 apply (zenon_L32_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hab ]. % 65.73/65.91 apply (zenon_L38_); trivial. % 65.73/65.91 apply (zenon_L39_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 65.73/65.91 apply (zenon_L11_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H2a | zenon_intro zenon_H77 ]. % 65.73/65.91 apply (zenon_L5_); trivial. % 65.73/65.91 apply (zenon_L24_); trivial. % 65.73/65.91 (* end of lemma zenon_L40_ *) % 65.73/65.91 assert (zenon_L41_ : (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H85 zenon_H3f zenon_H5d zenon_H75. % 65.73/65.91 cut (((op2 (e20) (op2 (e20) (e21))) = (e20)) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H85. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H3f. % 65.73/65.91 cut (((e20) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H89]. % 65.73/65.91 cut (((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5f]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 65.73/65.91 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (e21)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H5f. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H60. % 65.73/65.91 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 65.73/65.91 cut (((op2 (e20) (e21)) = (op2 (e20) (op2 (e20) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 65.73/65.91 congruence. % 65.73/65.91 apply (zenon_L16_); trivial. % 65.73/65.91 apply zenon_H61. apply refl_equal. % 65.73/65.91 apply zenon_H61. apply refl_equal. % 65.73/65.91 apply zenon_H89. apply sym_equal. exact zenon_H75. % 65.73/65.91 (* end of lemma zenon_L41_ *) % 65.73/65.91 assert (zenon_L42_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> ((op2 (e22) (e23)) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H6b zenon_H29 zenon_H75 zenon_H85 zenon_H19 zenon_H26 zenon_H56 zenon_H33 zenon_H3f zenon_H51. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H1b | zenon_intro zenon_H6c ]. % 65.73/65.91 apply (zenon_L31_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H5d | zenon_intro zenon_H6d ]. % 65.73/65.91 apply (zenon_L41_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H63 | zenon_intro zenon_H66 ]. % 65.73/65.91 apply (zenon_L19_); trivial. % 65.73/65.91 apply (zenon_L20_); trivial. % 65.73/65.91 (* end of lemma zenon_L42_ *) % 65.73/65.91 assert (zenon_L43_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H6b zenon_H29 zenon_H75 zenon_H85 zenon_H19 zenon_H26 zenon_H56 zenon_H33 zenon_H3f. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.73/65.91 apply (zenon_L5_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.73/65.91 apply (zenon_L12_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.73/65.91 apply (zenon_L13_); trivial. % 65.73/65.91 apply (zenon_L42_); trivial. % 65.73/65.91 (* end of lemma zenon_L43_ *) % 65.73/65.91 assert (zenon_L44_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H71 zenon_H76 zenon_H3e zenon_Hb0 zenon_H96 zenon_Ha0 zenon_H8f zenon_H9e zenon_H8a zenon_H9d zenon_H9c zenon_Haa zenon_H79 zenon_H85 zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H6b zenon_H29 zenon_H19 zenon_H26 zenon_H56 zenon_H33 zenon_H3f. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H1b | zenon_intro zenon_H73 ]. % 65.73/65.91 apply (zenon_L40_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 65.73/65.91 apply (zenon_L43_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H45 | zenon_intro zenon_H55 ]. % 65.73/65.91 apply (zenon_L12_); trivial. % 65.73/65.91 apply (zenon_L22_); trivial. % 65.73/65.91 (* end of lemma zenon_L44_ *) % 65.73/65.91 assert (zenon_L45_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_Hb3 zenon_H71 zenon_H76 zenon_H3e zenon_Hb0 zenon_H96 zenon_Ha0 zenon_H8f zenon_H9e zenon_H8a zenon_H9c zenon_Haa zenon_H79 zenon_H85 zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H6b zenon_H29 zenon_H19 zenon_H26 zenon_H56 zenon_H33 zenon_H3f. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_H32. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.73/65.91 apply (zenon_L44_); trivial. % 65.73/65.91 (* end of lemma zenon_L45_ *) % 65.73/65.91 assert (zenon_L46_ : (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e23) (e21)) = (e21)) -> False). % 65.73/65.91 do 0 intro. intros zenon_Hba zenon_H19 zenon_Hbb. % 65.73/65.91 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_Hba. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H19. % 65.73/65.91 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.73/65.91 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hbd]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H57 | zenon_intro zenon_H58 ]. % 65.73/65.91 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e21) = (op2 (e23) (e21)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_Hbd. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H57. % 65.73/65.91 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 65.73/65.91 cut (((op2 (e23) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hbe]. % 65.73/65.91 congruence. % 65.73/65.91 exact (zenon_Hbe zenon_Hbb). % 65.73/65.91 apply zenon_H58. apply refl_equal. % 65.73/65.91 apply zenon_H58. apply refl_equal. % 65.73/65.91 apply zenon_Hbc. apply refl_equal. % 65.73/65.91 (* end of lemma zenon_L46_ *) % 65.73/65.91 assert (zenon_L47_ : (((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23)))))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.91 do 0 intro. intros zenon_Hbf zenon_Hba zenon_H19. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc1. zenon_intro zenon_Hc0. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hbb. zenon_intro zenon_Hc2. % 65.73/65.91 apply (zenon_L46_); trivial. % 65.73/65.91 (* end of lemma zenon_L47_ *) % 65.73/65.91 assert (zenon_L48_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_Hc3 zenon_H79 zenon_H3e zenon_H71 zenon_H76 zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H6b zenon_H29 zenon_H19 zenon_H26 zenon_H56 zenon_H33 zenon_H3f. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.73/65.91 apply (zenon_L25_); trivial. % 65.73/65.91 (* end of lemma zenon_L48_ *) % 65.73/65.91 assert (zenon_L49_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21)))))))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.91 do 0 intro. intros zenon_Hc7 zenon_H19. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H8b. zenon_intro zenon_Hc8. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hc9. zenon_intro zenon_H1c. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 65.73/65.91 apply zenon_H22. apply sym_equal. exact zenon_H19. % 65.73/65.91 (* end of lemma zenon_L49_ *) % 65.73/65.91 assert (zenon_L50_ : (((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> False). % 65.73/65.91 do 0 intro. intros zenon_Hca. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hcc. zenon_intro zenon_Hcb. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hcc. zenon_intro zenon_H32. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 65.73/65.91 exact (zenon_Hce zenon_Hcc). % 65.73/65.91 (* end of lemma zenon_L50_ *) % 65.73/65.91 assert (zenon_L51_ : ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 65.73/65.91 do 0 intro. intros zenon_H26 zenon_Hcf zenon_H19 zenon_Hd0. % 65.73/65.91 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 65.73/65.91 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_Hd0. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_Hd1. % 65.73/65.91 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 65.73/65.91 cut (((op2 (e23) (e22)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 65.73/65.91 congruence. % 65.73/65.91 cut (((e22) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e23) (e22)) = (op2 (e23) (e21)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_Hd3. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H26. % 65.73/65.91 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 65.73/65.91 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 65.73/65.91 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e22) = (op2 (e23) (e22)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_Hd4. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_Hd1. % 65.73/65.91 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 65.73/65.91 cut (((op2 (e23) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hd5]. % 65.73/65.91 congruence. % 65.73/65.91 exact (zenon_Hd5 zenon_Hcf). % 65.73/65.91 apply zenon_Hd2. apply refl_equal. % 65.73/65.91 apply zenon_Hd2. apply refl_equal. % 65.73/65.91 apply (zenon_L18_); trivial. % 65.73/65.91 apply zenon_Hd2. apply refl_equal. % 65.73/65.91 apply zenon_Hd2. apply refl_equal. % 65.73/65.91 (* end of lemma zenon_L51_ *) % 65.73/65.91 assert (zenon_L52_ : (((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23)))))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 65.73/65.91 do 0 intro. intros zenon_Hd6 zenon_H26 zenon_H19 zenon_Hd0. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hcf. zenon_intro zenon_Hc2. % 65.73/65.91 apply (zenon_L51_); trivial. % 65.73/65.91 (* end of lemma zenon_L52_ *) % 65.73/65.91 assert (zenon_L53_ : (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_Hd9 zenon_Hda zenon_H77. % 65.73/65.91 cut (((op2 (e23) (e20)) = (e23)) = ((e20) = (e23))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_Hd9. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_Hda. % 65.73/65.91 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 65.73/65.91 cut (((op2 (e23) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hdb]. % 65.73/65.91 congruence. % 65.73/65.91 exact (zenon_Hdb zenon_H77). % 65.73/65.91 apply zenon_H24. apply refl_equal. % 65.73/65.91 (* end of lemma zenon_L53_ *) % 65.73/65.91 assert (zenon_L54_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e23)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H79 zenon_H17 zenon_H3f zenon_H33 zenon_H56 zenon_H19 zenon_H6b zenon_H4a zenon_H44 zenon_H6e zenon_H72 zenon_H3e zenon_H71 zenon_H26 zenon_H29 zenon_H28 zenon_Hd9 zenon_Hda. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H14 | zenon_intro zenon_H7a ]. % 65.73/65.91 exact (zenon_H17 zenon_H14). % 65.73/65.91 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 65.73/65.91 apply (zenon_L23_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H2a | zenon_intro zenon_H77 ]. % 65.73/65.91 apply (zenon_L5_); trivial. % 65.73/65.91 apply (zenon_L53_); trivial. % 65.73/65.91 (* end of lemma zenon_L54_ *) % 65.73/65.91 assert (zenon_L55_ : (((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e23))) -> False). % 65.73/65.91 do 0 intro. intros zenon_Hdc zenon_H79 zenon_H3f zenon_H33 zenon_H56 zenon_H19 zenon_H6b zenon_H4a zenon_H44 zenon_H6e zenon_H3e zenon_H71 zenon_H26 zenon_H29 zenon_H28 zenon_Hd9. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.73/65.91 apply (zenon_L54_); trivial. % 65.73/65.91 (* end of lemma zenon_L55_ *) % 65.73/65.91 assert (zenon_L56_ : (((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21)))))))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.91 do 0 intro. intros zenon_Hdf zenon_H19. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_He1. zenon_intro zenon_He0. % 65.73/65.91 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_He2. zenon_intro zenon_H1c. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 65.73/65.91 apply zenon_H22. apply sym_equal. exact zenon_H19. % 65.73/65.91 (* end of lemma zenon_L56_ *) % 65.73/65.91 assert (zenon_L57_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_He3 zenon_H71 zenon_H76 zenon_H3e zenon_Hb0 zenon_H96 zenon_Ha0 zenon_H8f zenon_H9e zenon_H8a zenon_H9c zenon_Haa zenon_H79 zenon_H85 zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H6b zenon_H29 zenon_H19 zenon_H26 zenon_H56 zenon_H33 zenon_H3f. % 65.73/65.91 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.73/65.91 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.73/65.91 apply (zenon_L44_); trivial. % 65.73/65.91 (* end of lemma zenon_L57_ *) % 65.73/65.91 assert (zenon_L58_ : (((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23)))))))) -> False). % 65.73/65.91 do 0 intro. intros zenon_He7. % 65.73/65.91 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_He9. zenon_intro zenon_He8. % 65.73/65.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_He9. zenon_intro zenon_Hc2. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Heb. zenon_intro zenon_Hea. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hed. zenon_intro zenon_Hec. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hef. zenon_intro zenon_Hee. % 65.73/65.91 exact (zenon_Hee zenon_He9). % 65.73/65.91 (* end of lemma zenon_L58_ *) % 65.73/65.91 assert (zenon_L59_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> False). % 65.73/65.91 do 0 intro. intros zenon_Hf0 zenon_Hba zenon_Hd0 zenon_Hd9 zenon_H3f zenon_H33 zenon_H56 zenon_H26 zenon_H19 zenon_H29 zenon_H6b zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_H85 zenon_H79 zenon_Haa zenon_H9c zenon_H8a zenon_H9e zenon_H8f zenon_Ha0 zenon_H96 zenon_Hb0 zenon_H3e zenon_H76 zenon_H71. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.73/65.91 apply (zenon_L1_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.73/65.91 apply (zenon_L2_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.73/65.91 apply (zenon_L6_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.73/65.91 apply (zenon_L8_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.73/65.91 apply (zenon_L26_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.73/65.91 apply (zenon_L27_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.73/65.91 apply (zenon_L45_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.73/65.91 apply (zenon_L47_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.73/65.91 apply (zenon_L48_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.73/65.91 apply (zenon_L49_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.73/65.91 apply (zenon_L50_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.73/65.91 apply (zenon_L52_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.73/65.91 apply (zenon_L55_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.73/65.91 apply (zenon_L56_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.73/65.91 apply (zenon_L57_); trivial. % 65.73/65.91 apply (zenon_L58_); trivial. % 65.73/65.91 (* end of lemma zenon_L59_ *) % 65.73/65.91 assert (zenon_L60_ : (~((e21) = (e21))) -> False). % 65.73/65.91 do 0 intro. intros zenon_Hff. % 65.73/65.91 apply zenon_Hff. apply refl_equal. % 65.73/65.91 (* end of lemma zenon_L60_ *) % 65.73/65.91 assert (zenon_L61_ : (~((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e21))))) -> ((op2 (e21) (e21)) = (e21)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H100 zenon_H82. % 65.73/65.91 cut (((e21) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 65.73/65.91 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 65.73/65.91 congruence. % 65.73/65.91 apply zenon_Hff. apply refl_equal. % 65.73/65.91 apply zenon_H101. apply sym_equal. exact zenon_H82. % 65.73/65.91 (* end of lemma zenon_L61_ *) % 65.73/65.91 assert (zenon_L62_ : ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> False). % 65.73/65.91 do 0 intro. intros zenon_H102 zenon_H82 zenon_H7e zenon_H103. % 65.73/65.91 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H86 | zenon_intro zenon_H87 ]. % 65.73/65.91 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e21) (e20)) = (op2 (e21) (e21)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H103. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H86. % 65.73/65.91 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 65.73/65.91 cut (((op2 (e21) (e21)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H104]. % 65.73/65.91 congruence. % 65.73/65.91 cut (((op2 (e21) (op2 (e21) (e21))) = (e21)) = ((op2 (e21) (e21)) = (op2 (e21) (e20)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H104. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H102. % 65.73/65.91 cut (((e21) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H105]. % 65.73/65.91 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H86 | zenon_intro zenon_H87 ]. % 65.73/65.91 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H106. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H86. % 65.73/65.91 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 65.73/65.91 cut (((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H100]. % 65.73/65.91 congruence. % 65.73/65.91 apply (zenon_L61_); trivial. % 65.73/65.91 apply zenon_H87. apply refl_equal. % 65.73/65.91 apply zenon_H87. apply refl_equal. % 65.73/65.91 apply zenon_H105. apply sym_equal. exact zenon_H7e. % 65.73/65.91 apply zenon_H87. apply refl_equal. % 65.73/65.91 apply zenon_H87. apply refl_equal. % 65.73/65.91 (* end of lemma zenon_L62_ *) % 65.73/65.91 assert (zenon_L63_ : (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.91 do 0 intro. intros zenon_H107 zenon_H26 zenon_Ha3 zenon_H19. % 65.73/65.91 cut (((e22) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e21) (e21)) = (op2 (e23) (e21)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H107. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H26. % 65.73/65.91 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 65.73/65.91 cut (((e22) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H108]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H86 | zenon_intro zenon_H87 ]. % 65.73/65.91 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((e22) = (op2 (e21) (e21)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H108. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H86. % 65.73/65.91 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 65.73/65.91 cut (((op2 (e21) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 65.73/65.91 congruence. % 65.73/65.91 exact (zenon_H9d zenon_Ha3). % 65.73/65.91 apply zenon_H87. apply refl_equal. % 65.73/65.91 apply zenon_H87. apply refl_equal. % 65.73/65.91 apply (zenon_L18_); trivial. % 65.73/65.91 (* end of lemma zenon_L63_ *) % 65.73/65.91 assert (zenon_L64_ : (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((op2 (e21) (e21)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.91 do 0 intro. intros zenon_H109 zenon_H102 zenon_H10a zenon_H19. % 65.73/65.91 cut (((op2 (e21) (op2 (e21) (e21))) = (e21)) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H109. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H102. % 65.73/65.91 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 65.73/65.91 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H10c]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 65.73/65.91 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e23)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H10c. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_Had. % 65.73/65.91 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 65.73/65.91 cut (((op2 (e21) (e23)) = (op2 (e21) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H10d]. % 65.73/65.91 congruence. % 65.73/65.91 cut (((e23) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H10e]. % 65.73/65.91 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 65.73/65.91 congruence. % 65.73/65.91 apply zenon_Hff. apply refl_equal. % 65.73/65.91 apply zenon_H10e. apply sym_equal. exact zenon_H10a. % 65.73/65.91 apply zenon_Hae. apply refl_equal. % 65.73/65.91 apply zenon_Hae. apply refl_equal. % 65.73/65.91 exact (zenon_H10b zenon_H19). % 65.73/65.91 (* end of lemma zenon_L64_ *) % 65.73/65.91 assert (zenon_L65_ : (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e21)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.91 do 0 intro. intros zenon_H10f zenon_H72 zenon_H103 zenon_H7e zenon_H26 zenon_H107 zenon_H109 zenon_H102 zenon_H19. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 65.73/65.91 exact (zenon_H72 zenon_H75). % 65.73/65.91 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H82 | zenon_intro zenon_H111 ]. % 65.73/65.91 apply (zenon_L62_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H10a ]. % 65.73/65.91 apply (zenon_L63_); trivial. % 65.73/65.91 apply (zenon_L64_); trivial. % 65.73/65.91 (* end of lemma zenon_L65_ *) % 65.73/65.91 assert (zenon_L66_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.91 do 0 intro. intros zenon_H7c zenon_H10f zenon_H103 zenon_H26 zenon_H107 zenon_H109 zenon_H102 zenon_H19. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7e. zenon_intro zenon_H7d. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H5d. zenon_intro zenon_H15. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.73/65.91 apply (zenon_L65_); trivial. % 65.73/65.91 (* end of lemma zenon_L66_ *) % 65.73/65.91 assert (zenon_L67_ : (~((op2 (e21) (e20)) = (op2 (e21) (op2 (e21) (e21))))) -> ((op2 (e21) (e21)) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H112 zenon_H75. % 65.73/65.91 cut (((e20) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H89]. % 65.73/65.91 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 65.73/65.91 congruence. % 65.73/65.91 apply zenon_Hff. apply refl_equal. % 65.73/65.91 apply zenon_H89. apply sym_equal. exact zenon_H75. % 65.73/65.91 (* end of lemma zenon_L67_ *) % 65.73/65.91 assert (zenon_L68_ : (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (e21)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H113 zenon_H102 zenon_H75 zenon_Hb5. % 65.73/65.91 cut (((op2 (e21) (op2 (e21) (e21))) = (e21)) = ((op2 (e21) (e20)) = (op2 (e21) (e22)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H113. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H102. % 65.73/65.91 cut (((e21) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114]. % 65.73/65.91 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H116 | zenon_intro zenon_H117 ]. % 65.73/65.91 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e20)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H115. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H116. % 65.73/65.91 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 65.73/65.91 cut (((op2 (e21) (e20)) = (op2 (e21) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H112]. % 65.73/65.91 congruence. % 65.73/65.91 apply (zenon_L67_); trivial. % 65.73/65.91 apply zenon_H117. apply refl_equal. % 65.73/65.91 apply zenon_H117. apply refl_equal. % 65.73/65.91 apply zenon_H114. apply sym_equal. exact zenon_Hb5. % 65.73/65.91 (* end of lemma zenon_L68_ *) % 65.73/65.91 assert (zenon_L69_ : (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e21) (e22)) = (e21)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H118 zenon_H102 zenon_H82 zenon_Hb5. % 65.73/65.91 cut (((op2 (e21) (op2 (e21) (e21))) = (e21)) = ((op2 (e21) (e21)) = (op2 (e21) (e22)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H118. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H102. % 65.73/65.91 cut (((e21) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114]. % 65.73/65.91 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H86 | zenon_intro zenon_H87 ]. % 65.73/65.91 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H106. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H86. % 65.73/65.91 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 65.73/65.91 cut (((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H100]. % 65.73/65.91 congruence. % 65.73/65.91 apply (zenon_L61_); trivial. % 65.73/65.91 apply zenon_H87. apply refl_equal. % 65.73/65.91 apply zenon_H87. apply refl_equal. % 65.73/65.91 apply zenon_H114. apply sym_equal. exact zenon_Hb5. % 65.73/65.91 (* end of lemma zenon_L69_ *) % 65.73/65.91 assert (zenon_L70_ : (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.91 do 0 intro. intros zenon_H10f zenon_H113 zenon_Hb5 zenon_H118 zenon_H9d zenon_H109 zenon_H102 zenon_H19. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 65.73/65.91 apply (zenon_L68_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H82 | zenon_intro zenon_H111 ]. % 65.73/65.91 apply (zenon_L69_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H10a ]. % 65.73/65.91 exact (zenon_H9d zenon_Ha3). % 65.73/65.91 apply (zenon_L64_); trivial. % 65.73/65.91 (* end of lemma zenon_L70_ *) % 65.73/65.91 assert (zenon_L71_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.91 do 0 intro. intros zenon_Hb3 zenon_H10f zenon_H113 zenon_H118 zenon_H109 zenon_H102 zenon_H19. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_H32. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.73/65.91 apply (zenon_L70_); trivial. % 65.73/65.91 (* end of lemma zenon_L71_ *) % 65.73/65.91 assert (zenon_L72_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e23)) = (e21)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H119 zenon_H19 zenon_H11a. % 65.73/65.91 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H119. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H19. % 65.73/65.91 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.73/65.91 cut (((e21) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H11b]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 65.73/65.91 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e21) = (op2 (e20) (e23)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H11b. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H36. % 65.73/65.91 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 65.73/65.91 cut (((op2 (e20) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H11c]. % 65.73/65.91 congruence. % 65.73/65.91 exact (zenon_H11c zenon_H11a). % 65.73/65.91 apply zenon_H37. apply refl_equal. % 65.73/65.91 apply zenon_H37. apply refl_equal. % 65.73/65.91 apply zenon_Hbc. apply refl_equal. % 65.73/65.91 (* end of lemma zenon_L72_ *) % 65.73/65.91 assert (zenon_L73_ : (~((op2 (e23) (op2 (e23) (e23))) = (op2 (e20) (e22)))) -> ((op2 (e23) (e21)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e22)) = (e22)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H11d zenon_H94 zenon_H19 zenon_Hc6. % 65.73/65.91 cut (((op2 (e23) (e21)) = (e22)) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e20) (e22)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H11d. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H94. % 65.73/65.91 cut (((e22) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H11e]. % 65.73/65.91 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H11f]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (op2 (e23) (e23))))); [ zenon_intro zenon_H120 | zenon_intro zenon_H121 ]. % 65.73/65.91 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e23))))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H11f. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H120. % 65.73/65.91 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H121]. % 65.73/65.91 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 65.73/65.91 congruence. % 65.73/65.91 apply (zenon_L18_); trivial. % 65.73/65.91 apply zenon_H121. apply refl_equal. % 65.73/65.91 apply zenon_H121. apply refl_equal. % 65.73/65.91 apply zenon_H11e. apply sym_equal. exact zenon_Hc6. % 65.73/65.91 (* end of lemma zenon_L73_ *) % 65.73/65.91 assert (zenon_L74_ : ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e20) (e22)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False). % 65.73/65.91 do 0 intro. intros zenon_H26 zenon_H122 zenon_H94 zenon_Hc6 zenon_H19 zenon_H123. % 65.73/65.91 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 65.73/65.91 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e22)) = (op2 (e20) (e23)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H123. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H36. % 65.73/65.91 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 65.73/65.91 cut (((op2 (e20) (e23)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H124]. % 65.73/65.91 congruence. % 65.73/65.91 cut (((e22) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e20) (e23)) = (op2 (e20) (e22)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H124. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H26. % 65.73/65.91 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H11d]. % 65.73/65.91 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H125]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 65.73/65.91 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e22) = (op2 (e20) (e23)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H125. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H36. % 65.73/65.91 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 65.73/65.91 cut (((op2 (e20) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H126]. % 65.73/65.91 congruence. % 65.73/65.91 exact (zenon_H126 zenon_H122). % 65.73/65.91 apply zenon_H37. apply refl_equal. % 65.73/65.91 apply zenon_H37. apply refl_equal. % 65.73/65.91 apply (zenon_L73_); trivial. % 65.73/65.91 apply zenon_H37. apply refl_equal. % 65.73/65.91 apply zenon_H37. apply refl_equal. % 65.73/65.91 (* end of lemma zenon_L74_ *) % 65.73/65.91 assert (zenon_L75_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H33 zenon_H127 zenon_Hde zenon_H51. % 65.73/65.91 cut (((op2 (e20) (op2 (e20) (e23))) = (e20)) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H33. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H127. % 65.73/65.91 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H67]. % 65.73/65.91 cut (((op2 (e20) (op2 (e20) (e23))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H128]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 65.73/65.91 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (op2 (e20) (e23))) = (op2 (e20) (e23)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H128. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H36. % 65.73/65.91 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 65.73/65.91 cut (((op2 (e20) (e23)) = (op2 (e20) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H129]. % 65.73/65.91 congruence. % 65.73/65.91 cut (((e23) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 65.73/65.91 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 65.73/65.91 congruence. % 65.73/65.91 apply zenon_H3b. apply refl_equal. % 65.73/65.91 apply zenon_H12a. apply sym_equal. exact zenon_Hde. % 65.73/65.91 apply zenon_H37. apply refl_equal. % 65.73/65.91 apply zenon_H37. apply refl_equal. % 65.73/65.91 apply zenon_H67. apply sym_equal. exact zenon_H51. % 65.73/65.91 (* end of lemma zenon_L75_ *) % 65.73/65.91 assert (zenon_L76_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e22)) = (e22)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H6e zenon_H28 zenon_H44 zenon_H4f zenon_H12b zenon_H29 zenon_H119 zenon_H123 zenon_H19 zenon_Hc6 zenon_H26 zenon_H33 zenon_H127. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.73/65.91 apply (zenon_L19_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.73/65.91 apply (zenon_L63_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.73/65.91 apply (zenon_L33_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.73/65.91 apply (zenon_L5_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.73/65.91 apply (zenon_L12_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.73/65.91 exact (zenon_H4f zenon_H4b). % 65.73/65.91 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H34 | zenon_intro zenon_H12c ]. % 65.73/65.91 apply (zenon_L7_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H11a | zenon_intro zenon_H12d ]. % 65.73/65.91 apply (zenon_L72_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H122 | zenon_intro zenon_Hde ]. % 65.73/65.91 apply (zenon_L74_); trivial. % 65.73/65.91 apply (zenon_L75_); trivial. % 65.73/65.91 (* end of lemma zenon_L76_ *) % 65.73/65.91 assert (zenon_L77_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_Hc3 zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H6e zenon_H28 zenon_H44 zenon_H12b zenon_H29 zenon_H119 zenon_H123 zenon_H19 zenon_H26 zenon_H33 zenon_H127. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.73/65.91 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.73/65.91 apply (zenon_L76_); trivial. % 65.73/65.91 (* end of lemma zenon_L77_ *) % 65.73/65.91 assert (zenon_L78_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> ((op2 (e20) (e23)) = (e23)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H6e zenon_H28 zenon_H44 zenon_H26 zenon_H29 zenon_H4a zenon_H33 zenon_H127 zenon_Hde. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.73/65.91 apply (zenon_L5_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.73/65.91 apply (zenon_L12_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.73/65.91 apply (zenon_L13_); trivial. % 65.73/65.91 apply (zenon_L75_); trivial. % 65.73/65.91 (* end of lemma zenon_L78_ *) % 65.73/65.91 assert (zenon_L79_ : (((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_Hdc zenon_H6e zenon_H28 zenon_H44 zenon_H26 zenon_H29 zenon_H4a zenon_H33 zenon_H127. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.73/65.91 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.73/65.91 apply (zenon_L78_); trivial. % 65.73/65.91 (* end of lemma zenon_L79_ *) % 65.73/65.91 assert (zenon_L80_ : (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e20) (e22)) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H12e zenon_H8f zenon_H14 zenon_H31. % 65.73/65.91 cut (((op2 (e20) (op2 (e20) (e20))) = (e20)) = ((op2 (e20) (e20)) = (op2 (e20) (e22)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H12e. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H8f. % 65.73/65.91 cut (((e20) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 65.73/65.91 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H42 | zenon_intro zenon_H43 ]. % 65.73/65.91 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H90. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H42. % 65.73/65.91 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 65.73/65.91 cut (((op2 (e20) (e20)) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H8e]. % 65.73/65.91 congruence. % 65.73/65.91 apply (zenon_L34_); trivial. % 65.73/65.91 apply zenon_H43. apply refl_equal. % 65.73/65.91 apply zenon_H43. apply refl_equal. % 65.73/65.91 apply zenon_H12f. apply sym_equal. exact zenon_H31. % 65.73/65.91 (* end of lemma zenon_L80_ *) % 65.73/65.91 assert (zenon_L81_ : (~((op2 (e20) (e22)) = (op2 (e20) (op2 (e20) (e23))))) -> ((op2 (e20) (e23)) = (e22)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H130 zenon_H122. % 65.73/65.91 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H125]. % 65.73/65.91 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 65.73/65.91 congruence. % 65.73/65.91 apply zenon_H3b. apply refl_equal. % 65.73/65.91 apply zenon_H125. apply sym_equal. exact zenon_H122. % 65.73/65.91 (* end of lemma zenon_L81_ *) % 65.73/65.91 assert (zenon_L82_ : (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e21) (e22)) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H131 zenon_H127 zenon_H122 zenon_H9f. % 65.73/65.91 cut (((op2 (e20) (op2 (e20) (e23))) = (e20)) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H131. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H127. % 65.73/65.91 cut (((e20) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 65.73/65.91 cut (((op2 (e20) (op2 (e20) (e23))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H132]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 65.73/65.91 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (op2 (e20) (e23))) = (op2 (e20) (e22)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H132. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H133. % 65.73/65.91 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H134]. % 65.73/65.91 cut (((op2 (e20) (e22)) = (op2 (e20) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H130]. % 65.73/65.91 congruence. % 65.73/65.91 apply (zenon_L81_); trivial. % 65.73/65.91 apply zenon_H134. apply refl_equal. % 65.73/65.91 apply zenon_H134. apply refl_equal. % 65.73/65.91 apply zenon_Ha6. apply sym_equal. exact zenon_H9f. % 65.73/65.91 (* end of lemma zenon_L82_ *) % 65.73/65.91 assert (zenon_L83_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> ((op2 (e22) (e23)) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H12b zenon_H26 zenon_H29 zenon_H19 zenon_H119 zenon_H9f zenon_H131 zenon_H33 zenon_H127 zenon_H51. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H34 | zenon_intro zenon_H12c ]. % 65.73/65.91 apply (zenon_L7_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H11a | zenon_intro zenon_H12d ]. % 65.73/65.91 apply (zenon_L72_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H122 | zenon_intro zenon_Hde ]. % 65.73/65.91 apply (zenon_L82_); trivial. % 65.73/65.91 apply (zenon_L75_); trivial. % 65.73/65.91 (* end of lemma zenon_L83_ *) % 65.73/65.91 assert (zenon_L84_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H135 zenon_H127 zenon_H122 zenon_H92. % 65.73/65.91 cut (((op2 (e20) (op2 (e20) (e23))) = (e20)) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H135. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H127. % 65.73/65.91 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 65.73/65.91 cut (((op2 (e20) (op2 (e20) (e23))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H132]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 65.73/65.91 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (op2 (e20) (e23))) = (op2 (e20) (e22)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H132. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H133. % 65.73/65.91 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H134]. % 65.73/65.91 cut (((op2 (e20) (e22)) = (op2 (e20) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H130]. % 65.73/65.91 congruence. % 65.73/65.91 apply (zenon_L81_); trivial. % 65.73/65.91 apply zenon_H134. apply refl_equal. % 65.73/65.91 apply zenon_H134. apply refl_equal. % 65.73/65.91 apply zenon_H93. apply sym_equal. exact zenon_H92. % 65.73/65.91 (* end of lemma zenon_L84_ *) % 65.73/65.91 assert (zenon_L85_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> ((op2 (e22) (e23)) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H12b zenon_H26 zenon_H29 zenon_H19 zenon_H119 zenon_H92 zenon_H135 zenon_H33 zenon_H127 zenon_H51. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H34 | zenon_intro zenon_H12c ]. % 65.73/65.91 apply (zenon_L7_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H11a | zenon_intro zenon_H12d ]. % 65.73/65.91 apply (zenon_L72_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H122 | zenon_intro zenon_Hde ]. % 65.73/65.91 apply (zenon_L84_); trivial. % 65.73/65.91 apply (zenon_L75_); trivial. % 65.73/65.91 (* end of lemma zenon_L85_ *) % 65.73/65.91 assert (zenon_L86_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H6e zenon_H28 zenon_H44 zenon_H136 zenon_H14 zenon_H8f zenon_H12e zenon_H131 zenon_H4a zenon_H12b zenon_H26 zenon_H29 zenon_H19 zenon_H119 zenon_H135 zenon_H33 zenon_H127. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.73/65.91 apply (zenon_L5_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.73/65.91 apply (zenon_L12_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.73/65.91 apply (zenon_L13_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H31 | zenon_intro zenon_H137 ]. % 65.73/65.91 apply (zenon_L80_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H9f | zenon_intro zenon_H138 ]. % 65.73/65.91 apply (zenon_L83_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H4b | zenon_intro zenon_H92 ]. % 65.73/65.91 apply (zenon_L13_); trivial. % 65.73/65.91 apply (zenon_L85_); trivial. % 65.73/65.91 (* end of lemma zenon_L86_ *) % 65.73/65.91 assert (zenon_L87_ : (~((op2 (e20) (e21)) = (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e20) (e20)) = (e21)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H139 zenon_H13a. % 65.73/65.91 cut (((e21) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H13b]. % 65.73/65.91 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 65.73/65.91 congruence. % 65.73/65.91 apply zenon_H3b. apply refl_equal. % 65.73/65.91 apply zenon_H13b. apply sym_equal. exact zenon_H13a. % 65.73/65.91 (* end of lemma zenon_L87_ *) % 65.73/65.91 assert (zenon_L88_ : (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((op2 (e20) (e20)) = (e21)) -> ((op2 (e20) (e22)) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H13c zenon_H8f zenon_H13a zenon_H31. % 65.73/65.91 cut (((op2 (e20) (op2 (e20) (e20))) = (e20)) = ((op2 (e20) (e21)) = (op2 (e20) (e22)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H13c. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H8f. % 65.73/65.91 cut (((e20) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 65.73/65.91 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H13d]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 65.73/65.91 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e21)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H13d. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H60. % 65.73/65.91 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 65.73/65.91 cut (((op2 (e20) (e21)) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H139]. % 65.73/65.91 congruence. % 65.73/65.91 apply (zenon_L87_); trivial. % 65.73/65.91 apply zenon_H61. apply refl_equal. % 65.73/65.91 apply zenon_H61. apply refl_equal. % 65.73/65.91 apply zenon_H12f. apply sym_equal. exact zenon_H31. % 65.73/65.91 (* end of lemma zenon_L88_ *) % 65.73/65.91 assert (zenon_L89_ : (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> ((op2 (e20) (e20)) = (e21)) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> ((op2 (e22) (e23)) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H136 zenon_H13a zenon_H8f zenon_H13c zenon_H131 zenon_H4a zenon_H12b zenon_H26 zenon_H29 zenon_H19 zenon_H119 zenon_H135 zenon_H33 zenon_H127 zenon_H51. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H31 | zenon_intro zenon_H137 ]. % 65.73/65.91 apply (zenon_L88_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H9f | zenon_intro zenon_H138 ]. % 65.73/65.91 apply (zenon_L83_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H4b | zenon_intro zenon_H92 ]. % 65.73/65.91 apply (zenon_L13_); trivial. % 65.73/65.91 apply (zenon_L85_); trivial. % 65.73/65.91 (* end of lemma zenon_L89_ *) % 65.73/65.91 assert (zenon_L90_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((op2 (e20) (e20)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H33 zenon_H8f zenon_H13e zenon_H51. % 65.73/65.91 cut (((op2 (e20) (op2 (e20) (e20))) = (e20)) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H33. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H8f. % 65.73/65.91 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H67]. % 65.73/65.91 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H13f]. % 65.73/65.91 congruence. % 65.73/65.91 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 65.73/65.91 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e23)))). % 65.73/65.91 intro zenon_D_pnotp. % 65.73/65.91 apply zenon_H13f. % 65.73/65.91 rewrite <- zenon_D_pnotp. % 65.73/65.91 exact zenon_H36. % 65.73/65.91 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 65.73/65.91 cut (((op2 (e20) (e23)) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H140]. % 65.73/65.91 congruence. % 65.73/65.91 cut (((e23) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H141]. % 65.73/65.91 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 65.73/65.91 congruence. % 65.73/65.91 apply zenon_H3b. apply refl_equal. % 65.73/65.91 apply zenon_H141. apply sym_equal. exact zenon_H13e. % 65.73/65.91 apply zenon_H37. apply refl_equal. % 65.73/65.91 apply zenon_H37. apply refl_equal. % 65.73/65.91 apply zenon_H67. apply sym_equal. exact zenon_H51. % 65.73/65.91 (* end of lemma zenon_L90_ *) % 65.73/65.91 assert (zenon_L91_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H6e zenon_H28 zenon_H44 zenon_H142 zenon_H1d zenon_H3e zenon_H127 zenon_H135 zenon_H119 zenon_H19 zenon_H29 zenon_H26 zenon_H12b zenon_H4a zenon_H131 zenon_H13c zenon_H136 zenon_Hb8 zenon_H33 zenon_H8f. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.73/65.91 apply (zenon_L5_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.73/65.91 apply (zenon_L12_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.73/65.91 apply (zenon_L13_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H14 | zenon_intro zenon_H143 ]. % 65.73/65.91 apply (zenon_L29_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H13a | zenon_intro zenon_H144 ]. % 65.73/65.91 apply (zenon_L89_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H145 | zenon_intro zenon_H13e ]. % 65.73/65.91 exact (zenon_Hb8 zenon_H145). % 65.73/65.91 apply (zenon_L90_); trivial. % 65.73/65.91 (* end of lemma zenon_L91_ *) % 65.73/65.91 assert (zenon_L92_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> False). % 65.73/65.91 do 0 intro. intros zenon_H6e zenon_H28 zenon_H44 zenon_H142 zenon_H77 zenon_H76 zenon_H127 zenon_H135 zenon_H119 zenon_H19 zenon_H29 zenon_H26 zenon_H12b zenon_H4a zenon_H131 zenon_H13c zenon_H136 zenon_Hb8 zenon_H33 zenon_H8f. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.73/65.91 apply (zenon_L5_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.73/65.91 apply (zenon_L12_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.73/65.91 apply (zenon_L13_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H14 | zenon_intro zenon_H143 ]. % 65.73/65.91 apply (zenon_L35_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H13a | zenon_intro zenon_H144 ]. % 65.73/65.91 apply (zenon_L89_); trivial. % 65.73/65.91 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H145 | zenon_intro zenon_H13e ]. % 65.73/65.91 exact (zenon_Hb8 zenon_H145). % 65.73/65.91 apply (zenon_L90_); trivial. % 65.73/65.91 (* end of lemma zenon_L92_ *) % 65.73/65.91 assert (zenon_L93_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> False). % 65.73/65.92 do 0 intro. intros zenon_He3 zenon_H79 zenon_H12e zenon_H3e zenon_H6e zenon_H28 zenon_H44 zenon_H142 zenon_H76 zenon_H127 zenon_H135 zenon_H119 zenon_H19 zenon_H29 zenon_H26 zenon_H12b zenon_H4a zenon_H131 zenon_H13c zenon_H136 zenon_H33 zenon_H8f. % 65.73/65.92 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.73/65.92 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.73/65.92 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H14 | zenon_intro zenon_H7a ]. % 65.73/65.92 apply (zenon_L86_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 65.73/65.92 apply (zenon_L91_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H2a | zenon_intro zenon_H77 ]. % 65.73/65.92 apply (zenon_L5_); trivial. % 65.73/65.92 apply (zenon_L92_); trivial. % 65.73/65.92 (* end of lemma zenon_L93_ *) % 65.73/65.92 assert (zenon_L94_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> False). % 65.73/65.92 do 0 intro. intros zenon_Hf0 zenon_H103 zenon_H102 zenon_H109 zenon_H118 zenon_H113 zenon_H10f zenon_Hba zenon_H123 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_Hd0 zenon_H8f zenon_H33 zenon_H136 zenon_H13c zenon_H131 zenon_H4a zenon_H12b zenon_H26 zenon_H29 zenon_H19 zenon_H119 zenon_H135 zenon_H127 zenon_H76 zenon_H142 zenon_H44 zenon_H28 zenon_H6e zenon_H3e zenon_H12e zenon_H79. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.73/65.92 apply (zenon_L1_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.73/65.92 apply (zenon_L2_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.73/65.92 apply (zenon_L6_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.73/65.92 apply (zenon_L8_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.73/65.92 apply (zenon_L66_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.73/65.92 apply (zenon_L27_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.73/65.92 apply (zenon_L71_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.73/65.92 apply (zenon_L47_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.73/65.92 apply (zenon_L77_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.73/65.92 apply (zenon_L49_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.73/65.92 apply (zenon_L50_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.73/65.92 apply (zenon_L52_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.73/65.92 apply (zenon_L79_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.73/65.92 apply (zenon_L56_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.73/65.92 apply (zenon_L93_); trivial. % 65.73/65.92 apply (zenon_L58_); trivial. % 65.73/65.92 (* end of lemma zenon_L94_ *) % 65.73/65.92 assert (zenon_L95_ : ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e23) (e23)) = (op2 (e20) (e20)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H19 zenon_H13a zenon_H146. % 65.73/65.92 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H42 | zenon_intro zenon_H43 ]. % 65.73/65.92 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (e23) (e23)) = (op2 (e20) (e20)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H146. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H42. % 65.73/65.92 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 65.73/65.92 cut (((op2 (e20) (e20)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H147]. % 65.73/65.92 congruence. % 65.73/65.92 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e20) (e20)) = (op2 (e23) (e23)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H147. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H19. % 65.73/65.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.73/65.92 cut (((e21) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H13b]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H42 | zenon_intro zenon_H43 ]. % 65.73/65.92 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((e21) = (op2 (e20) (e20)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H13b. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H42. % 65.73/65.92 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 65.73/65.92 cut (((op2 (e20) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1f]. % 65.73/65.92 congruence. % 65.73/65.92 exact (zenon_H1f zenon_H13a). % 65.73/65.92 apply zenon_H43. apply refl_equal. % 65.73/65.92 apply zenon_H43. apply refl_equal. % 65.73/65.92 apply zenon_Hbc. apply refl_equal. % 65.73/65.92 apply zenon_H43. apply refl_equal. % 65.73/65.92 apply zenon_H43. apply refl_equal. % 65.73/65.92 (* end of lemma zenon_L95_ *) % 65.73/65.92 assert (zenon_L96_ : ((op2 (e21) (e20)) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H7e zenon_H19 zenon_H13a zenon_H3e. % 65.73/65.92 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H116 | zenon_intro zenon_H117 ]. % 65.73/65.92 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H3e. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H116. % 65.73/65.92 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 65.73/65.92 cut (((op2 (e21) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H148]. % 65.73/65.92 congruence. % 65.73/65.92 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e21) (e20)) = (op2 (e20) (e20)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H148. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H19. % 65.73/65.92 cut (((op2 (e23) (e23)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H146]. % 65.73/65.92 cut (((e21) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H105]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H116 | zenon_intro zenon_H117 ]. % 65.73/65.92 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((e21) = (op2 (e21) (e20)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H105. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H116. % 65.73/65.92 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 65.73/65.92 cut (((op2 (e21) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 65.73/65.92 congruence. % 65.73/65.92 exact (zenon_H149 zenon_H7e). % 65.73/65.92 apply zenon_H117. apply refl_equal. % 65.73/65.92 apply zenon_H117. apply refl_equal. % 65.73/65.92 apply (zenon_L95_); trivial. % 65.73/65.92 apply zenon_H117. apply refl_equal. % 65.73/65.92 apply zenon_H117. apply refl_equal. % 65.73/65.92 (* end of lemma zenon_L96_ *) % 65.73/65.92 assert (zenon_L97_ : (~((op2 (e23) (op2 (e23) (e23))) = (op2 (e22) (e20)))) -> ((op2 (e23) (e21)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e22) (e20)) = (e22)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H14a zenon_H94 zenon_H19 zenon_Hc5. % 65.73/65.92 cut (((op2 (e23) (e21)) = (e22)) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e22) (e20)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H14a. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H94. % 65.73/65.92 cut (((e22) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H14b]. % 65.73/65.92 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H11f]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (op2 (e23) (e23))))); [ zenon_intro zenon_H120 | zenon_intro zenon_H121 ]. % 65.73/65.92 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e23))))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H11f. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H120. % 65.73/65.92 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H121]. % 65.73/65.92 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 65.73/65.92 congruence. % 65.73/65.92 apply (zenon_L18_); trivial. % 65.73/65.92 apply zenon_H121. apply refl_equal. % 65.73/65.92 apply zenon_H121. apply refl_equal. % 65.73/65.92 apply zenon_H14b. apply sym_equal. exact zenon_Hc5. % 65.73/65.92 (* end of lemma zenon_L97_ *) % 65.73/65.92 assert (zenon_L98_ : (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e22)) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H14c zenon_H26 zenon_H14d zenon_H94 zenon_Hc5 zenon_H19. % 65.73/65.92 cut (((e22) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H14c. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H26. % 65.73/65.92 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H14a]. % 65.73/65.92 cut (((e22) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H116 | zenon_intro zenon_H117 ]. % 65.73/65.92 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((e22) = (op2 (e21) (e20)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H14e. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H116. % 65.73/65.92 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 65.73/65.92 cut (((op2 (e21) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H14f]. % 65.73/65.92 congruence. % 65.73/65.92 exact (zenon_H14f zenon_H14d). % 65.73/65.92 apply zenon_H117. apply refl_equal. % 65.73/65.92 apply zenon_H117. apply refl_equal. % 65.73/65.92 apply (zenon_L97_); trivial. % 65.73/65.92 (* end of lemma zenon_L98_ *) % 65.73/65.92 assert (zenon_L99_ : ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e20) (e22)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H26 zenon_Hcc zenon_H94 zenon_Hc6 zenon_H19 zenon_H150. % 65.73/65.92 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ]. % 65.73/65.92 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H150. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H4d. % 65.73/65.92 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 65.73/65.92 cut (((op2 (e22) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H151]. % 65.73/65.92 congruence. % 65.73/65.92 cut (((e22) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e22) (e22)) = (op2 (e20) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H151. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H26. % 65.73/65.92 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H11d]. % 65.73/65.92 cut (((e22) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H152]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ]. % 65.73/65.92 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((e22) = (op2 (e22) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H152. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H4d. % 65.73/65.92 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 65.73/65.92 cut (((op2 (e22) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hce]. % 65.73/65.92 congruence. % 65.73/65.92 exact (zenon_Hce zenon_Hcc). % 65.73/65.92 apply zenon_H4e. apply refl_equal. % 65.73/65.92 apply zenon_H4e. apply refl_equal. % 65.73/65.92 apply (zenon_L73_); trivial. % 65.73/65.92 apply zenon_H4e. apply refl_equal. % 65.73/65.92 apply zenon_H4e. apply refl_equal. % 65.73/65.92 (* end of lemma zenon_L99_ *) % 65.73/65.92 assert (zenon_L100_ : (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e21) (e23)) = (e21)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H109 zenon_H19 zenon_Hc1. % 65.73/65.92 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H109. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H19. % 65.73/65.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.73/65.92 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 65.73/65.92 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e21) = (op2 (e21) (e23)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H153. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_Had. % 65.73/65.92 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 65.73/65.92 cut (((op2 (e21) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H154]. % 65.73/65.92 congruence. % 65.73/65.92 exact (zenon_H154 zenon_Hc1). % 65.73/65.92 apply zenon_Hae. apply refl_equal. % 65.73/65.92 apply zenon_Hae. apply refl_equal. % 65.73/65.92 apply zenon_Hbc. apply refl_equal. % 65.73/65.92 (* end of lemma zenon_L100_ *) % 65.73/65.92 assert (zenon_L101_ : (~((op2 (e23) (op2 (e23) (e23))) = (op2 (e21) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H155 zenon_H94 zenon_H19 zenon_H156. % 65.73/65.92 cut (((op2 (e23) (e21)) = (e22)) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e21) (e23)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H155. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H94. % 65.73/65.92 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H157]. % 65.73/65.92 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H11f]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (op2 (e23) (e23))))); [ zenon_intro zenon_H120 | zenon_intro zenon_H121 ]. % 65.73/65.92 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e23))))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H11f. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H120. % 65.73/65.92 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H121]. % 65.73/65.92 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 65.73/65.92 congruence. % 65.73/65.92 apply (zenon_L18_); trivial. % 65.73/65.92 apply zenon_H121. apply refl_equal. % 65.73/65.92 apply zenon_H121. apply refl_equal. % 65.73/65.92 apply zenon_H157. apply sym_equal. exact zenon_H156. % 65.73/65.92 (* end of lemma zenon_L101_ *) % 65.73/65.92 assert (zenon_L102_ : ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H26 zenon_Hd8 zenon_H94 zenon_H156 zenon_H19 zenon_Haa. % 65.73/65.92 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 65.73/65.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_Haa. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H158. % 65.73/65.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 65.73/65.92 cut (((op2 (e22) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H15a]. % 65.73/65.92 congruence. % 65.73/65.92 cut (((e22) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e22) (e23)) = (op2 (e21) (e23)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H15a. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H26. % 65.73/65.92 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H155]. % 65.73/65.92 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H15b]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 65.73/65.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e22) = (op2 (e22) (e23)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H15b. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H158. % 65.73/65.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 65.73/65.92 cut (((op2 (e22) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H15c]. % 65.73/65.92 congruence. % 65.73/65.92 exact (zenon_H15c zenon_Hd8). % 65.73/65.92 apply zenon_H159. apply refl_equal. % 65.73/65.92 apply zenon_H159. apply refl_equal. % 65.73/65.92 apply (zenon_L101_); trivial. % 65.73/65.92 apply zenon_H159. apply refl_equal. % 65.73/65.92 apply zenon_H159. apply refl_equal. % 65.73/65.92 (* end of lemma zenon_L102_ *) % 65.73/65.92 assert (zenon_L103_ : (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> ((op2 (e21) (e23)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H109 zenon_H15d zenon_He2 zenon_H19. % 65.73/65.92 cut (((op2 (e21) (op2 (e21) (e23))) = (e21)) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H109. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H15d. % 65.73/65.92 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 65.73/65.92 cut (((op2 (e21) (op2 (e21) (e23))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H15e]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 65.73/65.92 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e21) (op2 (e21) (e23))) = (op2 (e21) (e23)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H15e. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_Had. % 65.73/65.92 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 65.73/65.92 cut (((op2 (e21) (e23)) = (op2 (e21) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H15f]. % 65.73/65.92 congruence. % 65.73/65.92 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H160]. % 65.73/65.92 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 65.73/65.92 congruence. % 65.73/65.92 apply zenon_Hff. apply refl_equal. % 65.73/65.92 apply zenon_H160. apply sym_equal. exact zenon_He2. % 65.73/65.92 apply zenon_Hae. apply refl_equal. % 65.73/65.92 apply zenon_Hae. apply refl_equal. % 65.73/65.92 exact (zenon_H10b zenon_H19). % 65.73/65.92 (* end of lemma zenon_L103_ *) % 65.73/65.92 assert (zenon_L104_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H161 zenon_H29 zenon_Haa zenon_H94 zenon_Hd8 zenon_H26 zenon_H109 zenon_H15d zenon_H19. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hab | zenon_intro zenon_H162 ]. % 65.73/65.92 apply (zenon_L39_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H163 ]. % 65.73/65.92 apply (zenon_L100_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H156 | zenon_intro zenon_He2 ]. % 65.73/65.92 apply (zenon_L102_); trivial. % 65.73/65.92 apply (zenon_L103_); trivial. % 65.73/65.92 (* end of lemma zenon_L104_ *) % 65.73/65.92 assert (zenon_L105_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H9c zenon_H56 zenon_H107 zenon_H164 zenon_H14d zenon_H14c zenon_H8a zenon_H150 zenon_Hc6 zenon_H161 zenon_H29 zenon_Haa zenon_H26 zenon_H109 zenon_H15d zenon_H19. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.73/65.92 apply (zenon_L19_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.73/65.92 apply (zenon_L63_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.73/65.92 apply (zenon_L33_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H165 ]. % 65.73/65.92 apply (zenon_L98_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H8b | zenon_intro zenon_H166 ]. % 65.73/65.92 apply (zenon_L33_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hd8 ]. % 65.73/65.92 apply (zenon_L99_); trivial. % 65.73/65.92 apply (zenon_L104_); trivial. % 65.73/65.92 (* end of lemma zenon_L105_ *) % 65.73/65.92 assert (zenon_L106_ : ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e20) (e22)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H26 zenon_Hc9 zenon_H94 zenon_Hc6 zenon_H19 zenon_H131. % 65.73/65.92 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 65.73/65.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H131. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_Ha7. % 65.73/65.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 65.73/65.92 cut (((op2 (e21) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H167]. % 65.73/65.92 congruence. % 65.73/65.92 cut (((e22) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e21) (e22)) = (op2 (e20) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H167. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H26. % 65.73/65.92 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H11d]. % 65.73/65.92 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H168]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 65.73/65.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e22) = (op2 (e21) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H168. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_Ha7. % 65.73/65.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 65.73/65.92 cut (((op2 (e21) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H169]. % 65.73/65.92 congruence. % 65.73/65.92 exact (zenon_H169 zenon_Hc9). % 65.73/65.92 apply zenon_Ha8. apply refl_equal. % 65.73/65.92 apply zenon_Ha8. apply refl_equal. % 65.73/65.92 apply (zenon_L73_); trivial. % 65.73/65.92 apply zenon_Ha8. apply refl_equal. % 65.73/65.92 apply zenon_Ha8. apply refl_equal. % 65.73/65.92 (* end of lemma zenon_L106_ *) % 65.73/65.92 assert (zenon_L107_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e20) (e22)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H26 zenon_Hc9 zenon_Hc6 zenon_H19 zenon_H131. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.73/65.92 apply (zenon_L19_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.73/65.92 apply (zenon_L63_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.73/65.92 apply (zenon_L33_); trivial. % 65.73/65.92 apply (zenon_L106_); trivial. % 65.73/65.92 (* end of lemma zenon_L107_ *) % 65.73/65.92 assert (zenon_L108_ : ((op2 (e22) (e20)) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H16a zenon_H19 zenon_H13a zenon_H16b. % 65.73/65.92 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H2c | zenon_intro zenon_H2d ]. % 65.73/65.92 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e20) (e20)) = (op2 (e22) (e20)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H16b. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H2c. % 65.73/65.92 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 65.73/65.92 cut (((op2 (e22) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H16c]. % 65.73/65.92 congruence. % 65.73/65.92 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e22) (e20)) = (op2 (e20) (e20)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H16c. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H19. % 65.73/65.92 cut (((op2 (e23) (e23)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H146]. % 65.73/65.92 cut (((e21) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H16d]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H2c | zenon_intro zenon_H2d ]. % 65.73/65.92 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e21) = (op2 (e22) (e20)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H16d. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H2c. % 65.73/65.92 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 65.73/65.92 cut (((op2 (e22) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H16e]. % 65.73/65.92 congruence. % 65.73/65.92 exact (zenon_H16e zenon_H16a). % 65.73/65.92 apply zenon_H2d. apply refl_equal. % 65.73/65.92 apply zenon_H2d. apply refl_equal. % 65.73/65.92 apply (zenon_L95_); trivial. % 65.73/65.92 apply zenon_H2d. apply refl_equal. % 65.73/65.92 apply zenon_H2d. apply refl_equal. % 65.73/65.92 (* end of lemma zenon_L108_ *) % 65.73/65.92 assert (zenon_L109_ : ((e21) = (op2 (e23) (e23))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e23) (e23)) = (op2 (e21) (e21)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H19 zenon_H82 zenon_H16f. % 65.73/65.92 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H86 | zenon_intro zenon_H87 ]. % 65.73/65.92 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e23) (e23)) = (op2 (e21) (e21)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H16f. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H86. % 65.73/65.92 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 65.73/65.92 cut (((op2 (e21) (e21)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H170]. % 65.73/65.92 congruence. % 65.73/65.92 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e21) (e21)) = (op2 (e23) (e23)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H170. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H19. % 65.73/65.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.73/65.92 cut (((e21) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H86 | zenon_intro zenon_H87 ]. % 65.73/65.92 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((e21) = (op2 (e21) (e21)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H101. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H86. % 65.73/65.92 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 65.73/65.92 cut (((op2 (e21) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 65.73/65.92 congruence. % 65.73/65.92 exact (zenon_H21 zenon_H82). % 65.73/65.92 apply zenon_H87. apply refl_equal. % 65.73/65.92 apply zenon_H87. apply refl_equal. % 65.73/65.92 apply zenon_Hbc. apply refl_equal. % 65.73/65.92 apply zenon_H87. apply refl_equal. % 65.73/65.92 apply zenon_H87. apply refl_equal. % 65.73/65.92 (* end of lemma zenon_L109_ *) % 65.73/65.92 assert (zenon_L110_ : ((op2 (e22) (e21)) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_Hb6 zenon_H19 zenon_H82 zenon_H171. % 65.73/65.92 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H47 | zenon_intro zenon_H48 ]. % 65.73/65.92 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e21) (e21)) = (op2 (e22) (e21)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H171. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H47. % 65.73/65.92 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 65.73/65.92 cut (((op2 (e22) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H172]. % 65.73/65.92 congruence. % 65.73/65.92 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e22) (e21)) = (op2 (e21) (e21)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H172. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H19. % 65.73/65.92 cut (((op2 (e23) (e23)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 65.73/65.92 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H47 | zenon_intro zenon_H48 ]. % 65.73/65.92 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e21) = (op2 (e22) (e21)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H173. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H47. % 65.73/65.92 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 65.73/65.92 cut (((op2 (e22) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 65.73/65.92 congruence. % 65.73/65.92 exact (zenon_H174 zenon_Hb6). % 65.73/65.92 apply zenon_H48. apply refl_equal. % 65.73/65.92 apply zenon_H48. apply refl_equal. % 65.73/65.92 apply (zenon_L109_); trivial. % 65.73/65.92 apply zenon_H48. apply refl_equal. % 65.73/65.92 apply zenon_H48. apply refl_equal. % 65.73/65.92 (* end of lemma zenon_L110_ *) % 65.73/65.92 assert (zenon_L111_ : (~((op2 (e21) (e22)) = (op2 (e21) (op2 (e21) (e23))))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H175 zenon_H156. % 65.73/65.92 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H157]. % 65.73/65.92 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 65.73/65.92 congruence. % 65.73/65.92 apply zenon_Hff. apply refl_equal. % 65.73/65.92 apply zenon_H157. apply sym_equal. exact zenon_H156. % 65.73/65.92 (* end of lemma zenon_L111_ *) % 65.73/65.92 assert (zenon_L112_ : (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e22)) = (e21)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H176 zenon_H15d zenon_H156 zenon_H177. % 65.73/65.92 cut (((op2 (e21) (op2 (e21) (e23))) = (e21)) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H176. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H15d. % 65.73/65.92 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H178]. % 65.73/65.92 cut (((op2 (e21) (op2 (e21) (e23))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 65.73/65.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (op2 (e21) (e23))) = (op2 (e21) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H179. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_Ha7. % 65.73/65.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 65.73/65.92 cut (((op2 (e21) (e22)) = (op2 (e21) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H175]. % 65.73/65.92 congruence. % 65.73/65.92 apply (zenon_L111_); trivial. % 65.73/65.92 apply zenon_Ha8. apply refl_equal. % 65.73/65.92 apply zenon_Ha8. apply refl_equal. % 65.73/65.92 apply zenon_H178. apply sym_equal. exact zenon_H177. % 65.73/65.92 (* end of lemma zenon_L112_ *) % 65.73/65.92 assert (zenon_L113_ : (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e22) (e23)) = (e21)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H17a zenon_H19 zenon_H17b. % 65.73/65.92 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H17a. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H19. % 65.73/65.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.73/65.92 cut (((e21) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H17c]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 65.73/65.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e21) = (op2 (e22) (e23)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H17c. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H158. % 65.73/65.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 65.73/65.92 cut (((op2 (e22) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H17d]. % 65.73/65.92 congruence. % 65.73/65.92 exact (zenon_H17d zenon_H17b). % 65.73/65.92 apply zenon_H159. apply refl_equal. % 65.73/65.92 apply zenon_H159. apply refl_equal. % 65.73/65.92 apply zenon_Hbc. apply refl_equal. % 65.73/65.92 (* end of lemma zenon_L113_ *) % 65.73/65.92 assert (zenon_L114_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H17e zenon_H16b zenon_H13a zenon_H171 zenon_H82 zenon_H156 zenon_H15d zenon_H176 zenon_H17a zenon_H19. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H16a | zenon_intro zenon_H17f ]. % 65.73/65.92 apply (zenon_L108_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H180 ]. % 65.73/65.92 apply (zenon_L110_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H177 | zenon_intro zenon_H17b ]. % 65.73/65.92 apply (zenon_L112_); trivial. % 65.73/65.92 apply (zenon_L113_); trivial. % 65.73/65.92 (* end of lemma zenon_L114_ *) % 65.73/65.92 assert (zenon_L115_ : (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e20))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H10f zenon_H72 zenon_Hb5 zenon_H118 zenon_H26 zenon_H107 zenon_H109 zenon_H102 zenon_H19. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 65.73/65.92 exact (zenon_H72 zenon_H75). % 65.73/65.92 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H82 | zenon_intro zenon_H111 ]. % 65.73/65.92 apply (zenon_L69_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H10a ]. % 65.73/65.92 apply (zenon_L63_); trivial. % 65.73/65.92 apply (zenon_L64_); trivial. % 65.73/65.92 (* end of lemma zenon_L115_ *) % 65.73/65.92 assert (zenon_L116_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H181 zenon_H3e zenon_H17a zenon_H176 zenon_H15d zenon_H171 zenon_H13a zenon_H16b zenon_H17e zenon_H9c zenon_H56 zenon_H8a zenon_Hc6 zenon_H131 zenon_H164 zenon_H14c zenon_H150 zenon_H161 zenon_H29 zenon_Haa zenon_H182 zenon_H102 zenon_H107 zenon_H26 zenon_H118 zenon_H72 zenon_H10f zenon_H109 zenon_H19. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.73/65.92 apply (zenon_L96_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H14d | zenon_intro zenon_H185 ]. % 65.73/65.92 apply (zenon_L105_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H186 ]. % 65.73/65.92 apply (zenon_L63_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H156 ]. % 65.73/65.92 apply (zenon_L107_); trivial. % 65.73/65.92 apply (zenon_L114_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.73/65.92 apply (zenon_L115_); trivial. % 65.73/65.92 apply (zenon_L100_); trivial. % 65.73/65.92 (* end of lemma zenon_L116_ *) % 65.73/65.92 assert (zenon_L117_ : (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e21) (e21)) = (e21)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H85 zenon_H5d zenon_H82. % 65.73/65.92 cut (((op2 (e20) (e21)) = (e21)) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H85. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H5d. % 65.73/65.92 cut (((e21) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 65.73/65.92 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 65.73/65.92 congruence. % 65.73/65.92 apply zenon_H61. apply refl_equal. % 65.73/65.92 apply zenon_H101. apply sym_equal. exact zenon_H82. % 65.73/65.92 (* end of lemma zenon_L117_ *) % 65.73/65.92 assert (zenon_L118_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H181 zenon_H103 zenon_H5d zenon_H85 zenon_H102 zenon_H107 zenon_H26 zenon_H118 zenon_H72 zenon_H10f zenon_H109 zenon_H19. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.73/65.92 apply (zenon_L65_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.73/65.92 apply (zenon_L117_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.73/65.92 apply (zenon_L115_); trivial. % 65.73/65.92 apply (zenon_L100_); trivial. % 65.73/65.92 (* end of lemma zenon_L118_ *) % 65.73/65.92 assert (zenon_L119_ : ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H15d zenon_H156 zenon_H187 zenon_H131. % 65.73/65.92 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 65.73/65.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H131. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_Ha7. % 65.73/65.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 65.73/65.92 cut (((op2 (e21) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H167]. % 65.73/65.92 congruence. % 65.73/65.92 cut (((op2 (e21) (op2 (e21) (e23))) = (e21)) = ((op2 (e21) (e22)) = (op2 (e20) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H167. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H15d. % 65.73/65.92 cut (((e21) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H188]. % 65.73/65.92 cut (((op2 (e21) (op2 (e21) (e23))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 65.73/65.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (op2 (e21) (e23))) = (op2 (e21) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H179. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_Ha7. % 65.73/65.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 65.73/65.92 cut (((op2 (e21) (e22)) = (op2 (e21) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H175]. % 65.73/65.92 congruence. % 65.73/65.92 apply (zenon_L111_); trivial. % 65.73/65.92 apply zenon_Ha8. apply refl_equal. % 65.73/65.92 apply zenon_Ha8. apply refl_equal. % 65.73/65.92 apply zenon_H188. apply sym_equal. exact zenon_H187. % 65.73/65.92 apply zenon_Ha8. apply refl_equal. % 65.73/65.92 apply zenon_Ha8. apply refl_equal. % 65.73/65.92 (* end of lemma zenon_L119_ *) % 65.73/65.92 assert (zenon_L120_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H161 zenon_H26 zenon_H29 zenon_Haa zenon_H131 zenon_H187 zenon_H109 zenon_H15d zenon_H19. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hab | zenon_intro zenon_H162 ]. % 65.73/65.92 apply (zenon_L39_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H163 ]. % 65.73/65.92 apply (zenon_L100_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H156 | zenon_intro zenon_He2 ]. % 65.73/65.92 apply (zenon_L119_); trivial. % 65.73/65.92 apply (zenon_L103_); trivial. % 65.73/65.92 (* end of lemma zenon_L120_ *) % 65.73/65.92 assert (zenon_L121_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.92 do 0 intro. intros zenon_Hc3 zenon_H189 zenon_H182 zenon_H150 zenon_H14c zenon_H164 zenon_H8a zenon_H56 zenon_H9c zenon_H17e zenon_H16b zenon_H171 zenon_H176 zenon_H17a zenon_H3e zenon_H10f zenon_H118 zenon_H107 zenon_H102 zenon_H85 zenon_H103 zenon_H181 zenon_H15d zenon_H109 zenon_H131 zenon_Haa zenon_H29 zenon_H26 zenon_H161 zenon_H119 zenon_H19. % 65.73/65.92 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.73/65.92 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.73/65.92 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.73/65.92 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.73/65.92 apply (zenon_L116_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.73/65.92 apply (zenon_L118_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.73/65.92 apply (zenon_L120_); trivial. % 65.73/65.92 apply (zenon_L72_); trivial. % 65.73/65.92 (* end of lemma zenon_L121_ *) % 65.73/65.92 assert (zenon_L122_ : (~((op2 (e20) (e22)) = (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e20) (e20)) = (e22)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H18c zenon_H145. % 65.73/65.92 cut (((e22) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H18d]. % 65.73/65.92 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 65.73/65.92 congruence. % 65.73/65.92 apply zenon_H3b. apply refl_equal. % 65.73/65.92 apply zenon_H18d. apply sym_equal. exact zenon_H145. % 65.73/65.92 (* end of lemma zenon_L122_ *) % 65.73/65.92 assert (zenon_L123_ : ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H8f zenon_H145 zenon_H1b zenon_H13c. % 65.73/65.92 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 65.73/65.92 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (e21)) = (op2 (e20) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H13c. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H133. % 65.73/65.92 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H134]. % 65.73/65.92 cut (((op2 (e20) (e22)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H18e]. % 65.73/65.92 congruence. % 65.73/65.92 cut (((op2 (e20) (op2 (e20) (e20))) = (e20)) = ((op2 (e20) (e22)) = (op2 (e20) (e21)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H18e. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H8f. % 65.73/65.92 cut (((e20) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 65.73/65.92 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H18f]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 65.73/65.92 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H18f. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H133. % 65.73/65.92 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H134]. % 65.73/65.92 cut (((op2 (e20) (e22)) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H18c]. % 65.73/65.92 congruence. % 65.73/65.92 apply (zenon_L122_); trivial. % 65.73/65.92 apply zenon_H134. apply refl_equal. % 65.73/65.92 apply zenon_H134. apply refl_equal. % 65.73/65.92 apply zenon_H3d. apply sym_equal. exact zenon_H1b. % 65.73/65.92 apply zenon_H134. apply refl_equal. % 65.73/65.92 apply zenon_H134. apply refl_equal. % 65.73/65.92 (* end of lemma zenon_L123_ *) % 65.73/65.92 assert (zenon_L124_ : (~((op2 (e20) (e22)) = (op2 (e20) (op2 (e20) (e22))))) -> ((op2 (e20) (e22)) = (e22)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H190 zenon_Hc6. % 65.73/65.92 cut (((e22) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H11e]. % 65.73/65.92 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 65.73/65.92 congruence. % 65.73/65.92 apply zenon_H3b. apply refl_equal. % 65.73/65.92 apply zenon_H11e. apply sym_equal. exact zenon_Hc6. % 65.73/65.92 (* end of lemma zenon_L124_ *) % 65.73/65.92 assert (zenon_L125_ : (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (op2 (e20) (e22))) = (e20)) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e21) (e22)) = (e20)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H131 zenon_H191 zenon_Hc6 zenon_H9f. % 65.73/65.92 cut (((op2 (e20) (op2 (e20) (e22))) = (e20)) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H131. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H191. % 65.73/65.92 cut (((e20) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 65.73/65.92 cut (((op2 (e20) (op2 (e20) (e22))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H192]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 65.73/65.92 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (op2 (e20) (e22))) = (op2 (e20) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H192. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H133. % 65.73/65.92 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H134]. % 65.73/65.92 cut (((op2 (e20) (e22)) = (op2 (e20) (op2 (e20) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H190]. % 65.73/65.92 congruence. % 65.73/65.92 apply (zenon_L124_); trivial. % 65.73/65.92 apply zenon_H134. apply refl_equal. % 65.73/65.92 apply zenon_H134. apply refl_equal. % 65.73/65.92 apply zenon_Ha6. apply sym_equal. exact zenon_H9f. % 65.73/65.92 (* end of lemma zenon_L125_ *) % 65.73/65.92 assert (zenon_L126_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e22))) = (e20)) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e23) (e22)) = (e20)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H135 zenon_H191 zenon_Hc6 zenon_H92. % 65.73/65.92 cut (((op2 (e20) (op2 (e20) (e22))) = (e20)) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H135. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H191. % 65.73/65.92 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 65.73/65.92 cut (((op2 (e20) (op2 (e20) (e22))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H192]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 65.73/65.92 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (op2 (e20) (e22))) = (op2 (e20) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H192. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H133. % 65.73/65.92 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H134]. % 65.73/65.92 cut (((op2 (e20) (e22)) = (op2 (e20) (op2 (e20) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H190]. % 65.73/65.92 congruence. % 65.73/65.92 apply (zenon_L124_); trivial. % 65.73/65.92 apply zenon_H134. apply refl_equal. % 65.73/65.92 apply zenon_H134. apply refl_equal. % 65.73/65.92 apply zenon_H93. apply sym_equal. exact zenon_H92. % 65.73/65.92 (* end of lemma zenon_L126_ *) % 65.73/65.92 assert (zenon_L127_ : (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> ((op2 (e20) (e20)) = (e21)) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e22))) = (e20)) -> ((op2 (e20) (e22)) = (e22)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H136 zenon_H13a zenon_H8f zenon_H13c zenon_H131 zenon_H4f zenon_H135 zenon_H191 zenon_Hc6. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H31 | zenon_intro zenon_H137 ]. % 65.73/65.92 apply (zenon_L88_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H9f | zenon_intro zenon_H138 ]. % 65.73/65.92 apply (zenon_L125_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H4b | zenon_intro zenon_H92 ]. % 65.73/65.92 exact (zenon_H4f zenon_H4b). % 65.73/65.92 apply (zenon_L126_); trivial. % 65.73/65.92 (* end of lemma zenon_L127_ *) % 65.73/65.92 assert (zenon_L128_ : (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H193 zenon_Hde zenon_H122. % 65.73/65.92 cut (((op2 (e20) (e23)) = (e23)) = ((e22) = (e23))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H193. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_Hde. % 65.73/65.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 65.73/65.92 cut (((op2 (e20) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H126]. % 65.73/65.92 congruence. % 65.73/65.92 exact (zenon_H126 zenon_H122). % 65.73/65.92 apply zenon_H24. apply refl_equal. % 65.73/65.92 (* end of lemma zenon_L128_ *) % 65.73/65.92 assert (zenon_L129_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((op2 (e20) (e21)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (op2 (e20) (e22))) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((op2 (e20) (e20)) = (e21)) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H194 zenon_H1b zenon_H19 zenon_H26 zenon_H56 zenon_H191 zenon_H135 zenon_H4f zenon_H131 zenon_H13c zenon_H8f zenon_H13a zenon_H136 zenon_H193 zenon_Hde. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H145 | zenon_intro zenon_H195 ]. % 65.73/65.92 apply (zenon_L123_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H63 | zenon_intro zenon_H196 ]. % 65.73/65.92 apply (zenon_L19_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H122 ]. % 65.73/65.92 apply (zenon_L127_); trivial. % 65.73/65.92 apply (zenon_L128_); trivial. % 65.73/65.92 (* end of lemma zenon_L129_ *) % 65.73/65.92 assert (zenon_L130_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e20) (e22)) = (e20)) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H189 zenon_H31 zenon_H8f zenon_H13c zenon_H10f zenon_H72 zenon_H118 zenon_H107 zenon_H102 zenon_H85 zenon_H103 zenon_H181 zenon_H15d zenon_H109 zenon_H131 zenon_Haa zenon_H29 zenon_H26 zenon_H161 zenon_H119 zenon_H19. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.73/65.92 apply (zenon_L88_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.73/65.92 apply (zenon_L118_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.73/65.92 apply (zenon_L120_); trivial. % 65.73/65.92 apply (zenon_L72_); trivial. % 65.73/65.92 (* end of lemma zenon_L130_ *) % 65.73/65.92 assert (zenon_L131_ : (((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (op2 (e20) (e22))) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((e22) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_Hdc zenon_H197 zenon_H194 zenon_H56 zenon_H191 zenon_H135 zenon_H136 zenon_H193 zenon_H19 zenon_H119 zenon_H161 zenon_Haa zenon_H131 zenon_H109 zenon_H15d zenon_H181 zenon_H103 zenon_H85 zenon_H102 zenon_H107 zenon_H118 zenon_H10f zenon_H13c zenon_H8f zenon_H189 zenon_H33 zenon_H29 zenon_H26. % 65.73/65.92 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.73/65.92 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.73/65.92 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.73/65.92 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.73/65.92 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.73/65.92 exact (zenon_H17 zenon_H14). % 65.73/65.92 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.73/65.92 apply (zenon_L129_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.73/65.92 apply (zenon_L118_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.73/65.92 apply (zenon_L120_); trivial. % 65.73/65.92 apply (zenon_L72_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.73/65.92 apply (zenon_L130_); trivial. % 65.73/65.92 apply (zenon_L7_); trivial. % 65.73/65.92 (* end of lemma zenon_L131_ *) % 65.73/65.92 assert (zenon_L132_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H161 zenon_H26 zenon_H29 zenon_Haa zenon_H177 zenon_H176 zenon_H109 zenon_H15d zenon_H19. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hab | zenon_intro zenon_H162 ]. % 65.73/65.92 apply (zenon_L39_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H163 ]. % 65.73/65.92 apply (zenon_L100_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H156 | zenon_intro zenon_He2 ]. % 65.73/65.92 apply (zenon_L112_); trivial. % 65.73/65.92 apply (zenon_L103_); trivial. % 65.73/65.92 (* end of lemma zenon_L132_ *) % 65.73/65.92 assert (zenon_L133_ : (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e23) (e22)) = (e21)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H19a zenon_H19 zenon_H19b. % 65.73/65.92 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e23) (e22)) = (op2 (e23) (e23)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H19a. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H19. % 65.73/65.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.73/65.92 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H19c]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 65.73/65.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e21) = (op2 (e23) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H19c. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_Hd1. % 65.73/65.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 65.73/65.92 cut (((op2 (e23) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H19d]. % 65.73/65.92 congruence. % 65.73/65.92 exact (zenon_H19d zenon_H19b). % 65.73/65.92 apply zenon_Hd2. apply refl_equal. % 65.73/65.92 apply zenon_Hd2. apply refl_equal. % 65.73/65.92 apply zenon_Hbc. apply refl_equal. % 65.73/65.92 (* end of lemma zenon_L133_ *) % 65.73/65.92 assert (zenon_L134_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.92 do 0 intro. intros zenon_He3 zenon_H19e zenon_H131 zenon_H102 zenon_H118 zenon_H113 zenon_H10f zenon_H15d zenon_H109 zenon_H176 zenon_Haa zenon_H29 zenon_H26 zenon_H161 zenon_H19a zenon_H19. % 65.73/65.92 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.73/65.92 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.73/65.92 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.73/65.92 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H187 | zenon_intro zenon_H19f ]. % 65.73/65.92 apply (zenon_L120_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a0 ]. % 65.73/65.92 apply (zenon_L70_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H177 | zenon_intro zenon_H19b ]. % 65.73/65.92 apply (zenon_L132_); trivial. % 65.73/65.92 apply (zenon_L133_); trivial. % 65.73/65.92 (* end of lemma zenon_L134_ *) % 65.73/65.92 assert (zenon_L135_ : ((op2 (e20) (e21)) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H5d zenon_H19 zenon_H13a zenon_H1a1. % 65.73/65.92 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 65.73/65.92 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e20) (e20)) = (op2 (e20) (e21)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H1a1. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H60. % 65.73/65.92 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 65.73/65.92 cut (((op2 (e20) (e21)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a2]. % 65.73/65.92 congruence. % 65.73/65.92 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e20) (e21)) = (op2 (e20) (e20)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H1a2. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H19. % 65.73/65.92 cut (((op2 (e23) (e23)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H146]. % 65.73/65.92 cut (((e21) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 65.73/65.92 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e21) = (op2 (e20) (e21)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H5e. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H60. % 65.73/65.92 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 65.73/65.92 cut (((op2 (e20) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1a3]. % 65.73/65.92 congruence. % 65.73/65.92 exact (zenon_H1a3 zenon_H5d). % 65.73/65.92 apply zenon_H61. apply refl_equal. % 65.73/65.92 apply zenon_H61. apply refl_equal. % 65.73/65.92 apply (zenon_L95_); trivial. % 65.73/65.92 apply zenon_H61. apply refl_equal. % 65.73/65.92 apply zenon_H61. apply refl_equal. % 65.73/65.92 (* end of lemma zenon_L135_ *) % 65.73/65.92 assert (zenon_L136_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H6e zenon_H28 zenon_H26 zenon_H29 zenon_H44 zenon_H4f zenon_H142 zenon_H17 zenon_H1a1 zenon_H19 zenon_H5d zenon_H13c zenon_H1b zenon_H33 zenon_H8f. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.73/65.92 apply (zenon_L5_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.73/65.92 apply (zenon_L12_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.73/65.92 exact (zenon_H4f zenon_H4b). % 65.73/65.92 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H14 | zenon_intro zenon_H143 ]. % 65.73/65.92 exact (zenon_H17 zenon_H14). % 65.73/65.92 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H13a | zenon_intro zenon_H144 ]. % 65.73/65.92 apply (zenon_L135_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H145 | zenon_intro zenon_H13e ]. % 65.73/65.92 apply (zenon_L123_); trivial. % 65.73/65.92 apply (zenon_L90_); trivial. % 65.73/65.92 (* end of lemma zenon_L136_ *) % 65.73/65.92 assert (zenon_L137_ : (~((e22) = (e22))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H1a4. % 65.73/65.92 apply zenon_H1a4. apply refl_equal. % 65.73/65.92 (* end of lemma zenon_L137_ *) % 65.73/65.92 assert (zenon_L138_ : (~((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e23))))) -> ((op2 (e22) (e23)) = (e20)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H1a5 zenon_H51. % 65.73/65.92 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H67]. % 65.73/65.92 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 65.73/65.92 congruence. % 65.73/65.92 apply zenon_H1a4. apply refl_equal. % 65.73/65.92 apply zenon_H67. apply sym_equal. exact zenon_H51. % 65.73/65.92 (* end of lemma zenon_L138_ *) % 65.73/65.92 assert (zenon_L139_ : ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H1a6 zenon_H51 zenon_H14d zenon_H14c. % 65.73/65.92 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H2c | zenon_intro zenon_H2d ]. % 65.73/65.92 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H14c. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H2c. % 65.73/65.92 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 65.73/65.92 cut (((op2 (e22) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a7]. % 65.73/65.92 congruence. % 65.73/65.92 cut (((op2 (e22) (op2 (e22) (e23))) = (e22)) = ((op2 (e22) (e20)) = (op2 (e21) (e20)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H1a7. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H1a6. % 65.73/65.92 cut (((e22) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 65.73/65.92 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a8]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H2c | zenon_intro zenon_H2d ]. % 65.73/65.92 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e20)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H1a8. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H2c. % 65.73/65.92 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 65.73/65.92 cut (((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H1a5]. % 65.73/65.92 congruence. % 65.73/65.92 apply (zenon_L138_); trivial. % 65.73/65.92 apply zenon_H2d. apply refl_equal. % 65.73/65.92 apply zenon_H2d. apply refl_equal. % 65.73/65.92 apply zenon_H14e. apply sym_equal. exact zenon_H14d. % 65.73/65.92 apply zenon_H2d. apply refl_equal. % 65.73/65.92 apply zenon_H2d. apply refl_equal. % 65.73/65.92 (* end of lemma zenon_L139_ *) % 65.73/65.92 assert (zenon_L140_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H6e zenon_H28 zenon_H26 zenon_H29 zenon_H44 zenon_H4f zenon_H1a6 zenon_H14d zenon_H14c. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.73/65.92 apply (zenon_L5_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.73/65.92 apply (zenon_L12_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.73/65.92 exact (zenon_H4f zenon_H4b). % 65.73/65.92 apply (zenon_L139_); trivial. % 65.73/65.92 (* end of lemma zenon_L140_ *) % 65.73/65.92 assert (zenon_L141_ : (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H150 zenon_H187 zenon_H177. % 65.73/65.92 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H150. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H187. % 65.73/65.92 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H178]. % 65.73/65.92 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H134]. % 65.73/65.92 congruence. % 65.73/65.92 apply zenon_H134. apply refl_equal. % 65.73/65.92 apply zenon_H178. apply sym_equal. exact zenon_H177. % 65.73/65.92 (* end of lemma zenon_L141_ *) % 65.73/65.92 assert (zenon_L142_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H17e zenon_H16b zenon_H13a zenon_H171 zenon_H82 zenon_H187 zenon_H150 zenon_H17a zenon_H19. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H16a | zenon_intro zenon_H17f ]. % 65.73/65.92 apply (zenon_L108_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H180 ]. % 65.73/65.92 apply (zenon_L110_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H177 | zenon_intro zenon_H17b ]. % 65.73/65.92 apply (zenon_L141_); trivial. % 65.73/65.92 apply (zenon_L113_); trivial. % 65.73/65.92 (* end of lemma zenon_L142_ *) % 65.73/65.92 assert (zenon_L143_ : (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H16b zenon_H26 zenon_H145 zenon_H94 zenon_Hc5 zenon_H19. % 65.73/65.92 cut (((e22) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e20) (e20)) = (op2 (e22) (e20)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H16b. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H26. % 65.73/65.92 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H14a]. % 65.73/65.92 cut (((e22) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H18d]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H42 | zenon_intro zenon_H43 ]. % 65.73/65.92 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((e22) = (op2 (e20) (e20)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H18d. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H42. % 65.73/65.92 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 65.73/65.92 cut (((op2 (e20) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hb8]. % 65.73/65.92 congruence. % 65.73/65.92 exact (zenon_Hb8 zenon_H145). % 65.73/65.92 apply zenon_H43. apply refl_equal. % 65.73/65.92 apply zenon_H43. apply refl_equal. % 65.73/65.92 apply (zenon_L97_); trivial. % 65.73/65.92 (* end of lemma zenon_L143_ *) % 65.73/65.92 assert (zenon_L144_ : (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e22) (e22)) = (e22)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H1a9 zenon_H1a6 zenon_H51 zenon_Hcc. % 65.73/65.92 cut (((op2 (e22) (op2 (e22) (e23))) = (e22)) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H1a9. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H1a6. % 65.73/65.92 cut (((e22) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H152]. % 65.73/65.92 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a8]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H2c | zenon_intro zenon_H2d ]. % 65.73/65.92 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e20)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H1a8. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H2c. % 65.73/65.92 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 65.73/65.92 cut (((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H1a5]. % 65.73/65.92 congruence. % 65.73/65.92 apply (zenon_L138_); trivial. % 65.73/65.92 apply zenon_H2d. apply refl_equal. % 65.73/65.92 apply zenon_H2d. apply refl_equal. % 65.73/65.92 apply zenon_H152. apply sym_equal. exact zenon_Hcc. % 65.73/65.92 (* end of lemma zenon_L144_ *) % 65.73/65.92 assert (zenon_L145_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H164 zenon_H145 zenon_H16b zenon_H8a zenon_H51 zenon_H1a6 zenon_H1a9 zenon_H26 zenon_H94 zenon_H156 zenon_H19 zenon_Haa. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H165 ]. % 65.73/65.92 apply (zenon_L143_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H8b | zenon_intro zenon_H166 ]. % 65.73/65.92 apply (zenon_L33_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hd8 ]. % 65.73/65.92 apply (zenon_L144_); trivial. % 65.73/65.92 apply (zenon_L102_); trivial. % 65.73/65.92 (* end of lemma zenon_L145_ *) % 65.73/65.92 assert (zenon_L146_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H182 zenon_H14c zenon_H131 zenon_Hc6 zenon_H9c zenon_H56 zenon_H107 zenon_H6e zenon_H28 zenon_H29 zenon_H44 zenon_H4f zenon_H142 zenon_H17 zenon_H17a zenon_H150 zenon_H187 zenon_H82 zenon_H171 zenon_H17e zenon_Haa zenon_H19 zenon_H26 zenon_H1a9 zenon_H1a6 zenon_H8a zenon_H16b zenon_H164 zenon_H33 zenon_H8f. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H14d | zenon_intro zenon_H185 ]. % 65.73/65.92 apply (zenon_L140_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H186 ]. % 65.73/65.92 apply (zenon_L63_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H156 ]. % 65.73/65.92 apply (zenon_L107_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.73/65.92 apply (zenon_L19_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.73/65.92 apply (zenon_L63_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.73/65.92 apply (zenon_L33_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.73/65.92 apply (zenon_L5_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.73/65.92 apply (zenon_L12_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.73/65.92 exact (zenon_H4f zenon_H4b). % 65.73/65.92 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H14 | zenon_intro zenon_H143 ]. % 65.73/65.92 exact (zenon_H17 zenon_H14). % 65.73/65.92 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H13a | zenon_intro zenon_H144 ]. % 65.73/65.92 apply (zenon_L142_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H145 | zenon_intro zenon_H13e ]. % 65.73/65.92 apply (zenon_L145_); trivial. % 65.73/65.92 apply (zenon_L90_); trivial. % 65.73/65.92 (* end of lemma zenon_L146_ *) % 65.73/65.92 assert (zenon_L147_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H181 zenon_H103 zenon_H8f zenon_H33 zenon_H164 zenon_H16b zenon_H8a zenon_H1a6 zenon_H1a9 zenon_Haa zenon_H17e zenon_H171 zenon_H187 zenon_H150 zenon_H17a zenon_H17 zenon_H142 zenon_H4f zenon_H44 zenon_H29 zenon_H28 zenon_H6e zenon_H56 zenon_H9c zenon_Hc6 zenon_H131 zenon_H14c zenon_H182 zenon_H102 zenon_H107 zenon_H26 zenon_H118 zenon_H72 zenon_H10f zenon_H109 zenon_H19. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.73/65.92 apply (zenon_L65_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.73/65.92 apply (zenon_L146_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.73/65.92 apply (zenon_L115_); trivial. % 65.73/65.92 apply (zenon_L100_); trivial. % 65.73/65.92 (* end of lemma zenon_L147_ *) % 65.73/65.92 assert (zenon_L148_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e22) (e20)) = (e22)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H6e zenon_H28 zenon_H29 zenon_H44 zenon_H4f zenon_H142 zenon_H17 zenon_H31 zenon_H13c zenon_H19 zenon_Hc5 zenon_H26 zenon_H16b zenon_H33 zenon_H8f. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.73/65.92 apply (zenon_L19_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.73/65.92 apply (zenon_L63_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.73/65.92 apply (zenon_L33_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.73/65.92 apply (zenon_L5_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.73/65.92 apply (zenon_L12_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.73/65.92 exact (zenon_H4f zenon_H4b). % 65.73/65.92 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H14 | zenon_intro zenon_H143 ]. % 65.73/65.92 exact (zenon_H17 zenon_H14). % 65.73/65.92 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H13a | zenon_intro zenon_H144 ]. % 65.73/65.92 apply (zenon_L88_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H145 | zenon_intro zenon_H13e ]. % 65.73/65.92 apply (zenon_L143_); trivial. % 65.73/65.92 apply (zenon_L90_); trivial. % 65.73/65.92 (* end of lemma zenon_L148_ *) % 65.73/65.92 assert (zenon_L149_ : (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e22) (e23)) = (e22)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H28 zenon_H1a6 zenon_H51 zenon_Hd8. % 65.73/65.92 cut (((op2 (e22) (op2 (e22) (e23))) = (e22)) = ((op2 (e22) (e20)) = (op2 (e22) (e23)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H28. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H1a6. % 65.73/65.92 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H15b]. % 65.73/65.92 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a8]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H2c | zenon_intro zenon_H2d ]. % 65.73/65.92 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e20)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H1a8. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H2c. % 65.73/65.92 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 65.73/65.92 cut (((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H1a5]. % 65.73/65.92 congruence. % 65.73/65.92 apply (zenon_L138_); trivial. % 65.73/65.92 apply zenon_H2d. apply refl_equal. % 65.73/65.92 apply zenon_H2d. apply refl_equal. % 65.73/65.92 apply zenon_H15b. apply sym_equal. exact zenon_Hd8. % 65.73/65.92 (* end of lemma zenon_L149_ *) % 65.73/65.92 assert (zenon_L150_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> ((op2 (e22) (e23)) = (e20)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H164 zenon_H94 zenon_H145 zenon_H16b zenon_H19 zenon_H26 zenon_H8a zenon_H1a9 zenon_H28 zenon_H1a6 zenon_H51. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H165 ]. % 65.73/65.92 apply (zenon_L143_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H8b | zenon_intro zenon_H166 ]. % 65.73/65.92 apply (zenon_L33_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hd8 ]. % 65.73/65.92 apply (zenon_L144_); trivial. % 65.73/65.92 apply (zenon_L149_); trivial. % 65.73/65.92 (* end of lemma zenon_L150_ *) % 65.73/65.92 assert (zenon_L151_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H9c zenon_H56 zenon_H107 zenon_H6e zenon_H29 zenon_H44 zenon_H4f zenon_H164 zenon_H145 zenon_H16b zenon_H19 zenon_H26 zenon_H8a zenon_H1a9 zenon_H28 zenon_H1a6. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.73/65.92 apply (zenon_L19_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.73/65.92 apply (zenon_L63_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.73/65.92 apply (zenon_L33_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.73/65.92 apply (zenon_L5_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.73/65.92 apply (zenon_L12_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.73/65.92 exact (zenon_H4f zenon_H4b). % 65.73/65.92 apply (zenon_L150_); trivial. % 65.73/65.92 (* end of lemma zenon_L151_ *) % 65.73/65.92 assert (zenon_L152_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (op2 (e20) (e22))) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((op2 (e20) (e20)) = (e21)) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H194 zenon_H1a6 zenon_H28 zenon_H1a9 zenon_H8a zenon_H16b zenon_H164 zenon_H44 zenon_H29 zenon_H6e zenon_H107 zenon_H9c zenon_H19 zenon_H26 zenon_H56 zenon_H191 zenon_H135 zenon_H4f zenon_H131 zenon_H13c zenon_H8f zenon_H13a zenon_H136 zenon_H193 zenon_Hde. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H145 | zenon_intro zenon_H195 ]. % 65.73/65.92 apply (zenon_L151_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H63 | zenon_intro zenon_H196 ]. % 65.73/65.92 apply (zenon_L19_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H122 ]. % 65.73/65.92 apply (zenon_L127_); trivial. % 65.73/65.92 apply (zenon_L128_); trivial. % 65.73/65.92 (* end of lemma zenon_L152_ *) % 65.73/65.92 assert (zenon_L153_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H194 zenon_H19 zenon_H109 zenon_H10f zenon_H72 zenon_H118 zenon_H26 zenon_H107 zenon_H102 zenon_H182 zenon_H14c zenon_H131 zenon_H9c zenon_H56 zenon_H6e zenon_H28 zenon_H29 zenon_H44 zenon_H4f zenon_H142 zenon_H17 zenon_H17a zenon_H150 zenon_H187 zenon_H171 zenon_H17e zenon_Haa zenon_H1a9 zenon_H1a6 zenon_H8a zenon_H16b zenon_H164 zenon_H33 zenon_H8f zenon_H103 zenon_H181 zenon_H193 zenon_Hde. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H145 | zenon_intro zenon_H195 ]. % 65.73/65.92 apply (zenon_L151_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H63 | zenon_intro zenon_H196 ]. % 65.73/65.92 apply (zenon_L19_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H122 ]. % 65.73/65.92 apply (zenon_L147_); trivial. % 65.73/65.92 apply (zenon_L128_); trivial. % 65.73/65.92 (* end of lemma zenon_L153_ *) % 65.73/65.92 assert (zenon_L154_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H96 zenon_H26 zenon_H1aa zenon_H19. % 65.73/65.92 cut (((e22) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H96. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H26. % 65.73/65.92 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 65.73/65.92 cut (((e22) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ab]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1ad ]. % 65.73/65.92 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e22) = (op2 (e23) (e20)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H1ab. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H1ac. % 65.73/65.92 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ad]. % 65.73/65.92 cut (((op2 (e23) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1ae]. % 65.73/65.92 congruence. % 65.73/65.92 exact (zenon_H1ae zenon_H1aa). % 65.73/65.92 apply zenon_H1ad. apply refl_equal. % 65.73/65.92 apply zenon_H1ad. apply refl_equal. % 65.73/65.92 apply (zenon_L18_); trivial. % 65.73/65.92 (* end of lemma zenon_L154_ *) % 65.73/65.92 assert (zenon_L155_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H1af zenon_H1a9 zenon_H164 zenon_H14c zenon_H1a6 zenon_H8f zenon_H33 zenon_H16b zenon_H13c zenon_H31 zenon_H17 zenon_H142 zenon_H4f zenon_H44 zenon_H29 zenon_H28 zenon_H6e zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_H96 zenon_H26 zenon_H19. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H145 | zenon_intro zenon_H1b0 ]. % 65.73/65.92 apply (zenon_L151_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 65.73/65.92 apply (zenon_L140_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H1aa ]. % 65.73/65.92 apply (zenon_L148_); trivial. % 65.73/65.92 apply (zenon_L154_); trivial. % 65.73/65.92 (* end of lemma zenon_L155_ *) % 65.73/65.92 assert (zenon_L156_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H6e zenon_H28 zenon_H44 zenon_H26 zenon_H29 zenon_H4a zenon_H1a6 zenon_H14d zenon_H14c. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.73/65.92 apply (zenon_L5_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.73/65.92 apply (zenon_L12_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.73/65.92 apply (zenon_L13_); trivial. % 65.73/65.92 apply (zenon_L139_); trivial. % 65.73/65.92 (* end of lemma zenon_L156_ *) % 65.73/65.92 assert (zenon_L157_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H14c zenon_H26 zenon_H14d zenon_Hc5 zenon_H19. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.73/65.92 apply (zenon_L19_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.73/65.92 apply (zenon_L63_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.73/65.92 apply (zenon_L33_); trivial. % 65.73/65.92 apply (zenon_L98_); trivial. % 65.73/65.92 (* end of lemma zenon_L157_ *) % 65.73/65.92 assert (zenon_L158_ : (~((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e23))))) -> ((op2 (e22) (e23)) = (e23)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H1b2 zenon_He6. % 65.73/65.92 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1b3]. % 65.73/65.92 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 65.73/65.92 congruence. % 65.73/65.92 apply zenon_H1a4. apply refl_equal. % 65.73/65.92 apply zenon_H1b3. apply sym_equal. exact zenon_He6. % 65.73/65.92 (* end of lemma zenon_L158_ *) % 65.73/65.92 assert (zenon_L159_ : ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H1a6 zenon_He6 zenon_H156 zenon_Haa. % 65.73/65.92 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 65.73/65.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_Haa. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H158. % 65.73/65.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 65.73/65.92 cut (((op2 (e22) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H15a]. % 65.73/65.92 congruence. % 65.73/65.92 cut (((op2 (e22) (op2 (e22) (e23))) = (e22)) = ((op2 (e22) (e23)) = (op2 (e21) (e23)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H15a. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H1a6. % 65.73/65.92 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H157]. % 65.73/65.92 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1b4]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 65.73/65.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e23)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H1b4. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H158. % 65.73/65.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 65.73/65.92 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H1b2]. % 65.73/65.92 congruence. % 65.73/65.92 apply (zenon_L158_); trivial. % 65.73/65.92 apply zenon_H159. apply refl_equal. % 65.73/65.92 apply zenon_H159. apply refl_equal. % 65.73/65.92 apply zenon_H157. apply sym_equal. exact zenon_H156. % 65.73/65.92 apply zenon_H159. apply refl_equal. % 65.73/65.92 apply zenon_H159. apply refl_equal. % 65.73/65.92 (* end of lemma zenon_L159_ *) % 65.73/65.92 assert (zenon_L160_ : ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H1a6 zenon_He6 zenon_H122 zenon_H33. % 65.73/65.92 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 65.73/65.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H33. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H158. % 65.73/65.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 65.73/65.92 cut (((op2 (e22) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1b5]. % 65.73/65.92 congruence. % 65.73/65.92 cut (((op2 (e22) (op2 (e22) (e23))) = (e22)) = ((op2 (e22) (e23)) = (op2 (e20) (e23)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H1b5. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H1a6. % 65.73/65.92 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H125]. % 65.73/65.92 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1b4]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 65.73/65.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e23)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H1b4. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H158. % 65.73/65.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 65.73/65.92 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H1b2]. % 65.73/65.92 congruence. % 65.73/65.92 apply (zenon_L158_); trivial. % 65.73/65.92 apply zenon_H159. apply refl_equal. % 65.73/65.92 apply zenon_H159. apply refl_equal. % 65.73/65.92 apply zenon_H125. apply sym_equal. exact zenon_H122. % 65.73/65.92 apply zenon_H159. apply refl_equal. % 65.73/65.92 apply zenon_H159. apply refl_equal. % 65.73/65.92 (* end of lemma zenon_L160_ *) % 65.73/65.92 assert (zenon_L161_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H194 zenon_H19 zenon_H26 zenon_H96 zenon_H182 zenon_H14c zenon_H9d zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_Haa zenon_H6e zenon_H28 zenon_H44 zenon_H29 zenon_H4a zenon_Hb8 zenon_H1af zenon_H1a6 zenon_He6 zenon_H33. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H145 | zenon_intro zenon_H195 ]. % 65.73/65.92 exact (zenon_Hb8 zenon_H145). % 65.73/65.92 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H63 | zenon_intro zenon_H196 ]. % 65.73/65.92 apply (zenon_L19_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H122 ]. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H145 | zenon_intro zenon_H1b0 ]. % 65.73/65.92 exact (zenon_Hb8 zenon_H145). % 65.73/65.92 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 65.73/65.92 apply (zenon_L156_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H1aa ]. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H14d | zenon_intro zenon_H185 ]. % 65.73/65.92 apply (zenon_L157_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H186 ]. % 65.73/65.92 exact (zenon_H9d zenon_Ha3). % 65.73/65.92 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H156 ]. % 65.73/65.92 apply (zenon_L107_); trivial. % 65.73/65.92 apply (zenon_L159_); trivial. % 65.73/65.92 apply (zenon_L154_); trivial. % 65.73/65.92 apply (zenon_L160_); trivial. % 65.73/65.92 (* end of lemma zenon_L161_ *) % 65.73/65.92 assert (zenon_L162_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_He3 zenon_H194 zenon_H19 zenon_H26 zenon_H96 zenon_H182 zenon_H14c zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_Haa zenon_H6e zenon_H28 zenon_H44 zenon_H29 zenon_H4a zenon_H1af zenon_H1a6 zenon_H33. % 65.73/65.92 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.73/65.92 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.73/65.92 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.73/65.92 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.73/65.92 apply (zenon_L161_); trivial. % 65.73/65.92 (* end of lemma zenon_L162_ *) % 65.73/65.92 assert (zenon_L163_ : (~((e22) = (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H193 zenon_H26 zenon_H1b6. % 65.73/65.92 cut (((e22) = (op2 (e23) (op2 (e23) (e23)))) = ((e22) = (e23))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H193. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H26. % 65.73/65.92 cut (((op2 (e23) (op2 (e23) (e23))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1b7]. % 65.73/65.92 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 65.73/65.92 congruence. % 65.73/65.92 apply zenon_H1a4. apply refl_equal. % 65.73/65.92 exact (zenon_H1b7 zenon_H1b6). % 65.73/65.92 (* end of lemma zenon_L163_ *) % 65.73/65.92 assert (zenon_L164_ : (((op2 (e20) (op2 (e20) (e23))) = (e20))\/(((op2 (e21) (op2 (e21) (e23))) = (e21))\/(((op2 (e22) (op2 (e22) (e23))) = (e22))\/((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (op2 (e20) (e22))) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H1b8 zenon_H79 zenon_H12e zenon_H76 zenon_H12b zenon_H123 zenon_H19e zenon_H176 zenon_H161 zenon_H19a zenon_H85 zenon_H3e zenon_H194 zenon_H19 zenon_H96 zenon_H182 zenon_H14c zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_Haa zenon_H6e zenon_H28 zenon_H44 zenon_H29 zenon_H4a zenon_H1af zenon_H33 zenon_H197 zenon_H119 zenon_H109 zenon_H10f zenon_H118 zenon_H102 zenon_H17a zenon_H150 zenon_H171 zenon_H17e zenon_H103 zenon_H181 zenon_H1a1 zenon_H191 zenon_H135 zenon_H136 zenon_H189 zenon_H142 zenon_H13c zenon_H16b zenon_H8f zenon_H164 zenon_H1a9 zenon_Hd0 zenon_Hba zenon_H113 zenon_Hf0 zenon_H193 zenon_H26. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.73/65.92 apply (zenon_L94_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.73/65.92 apply (zenon_L1_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.73/65.92 apply (zenon_L2_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.73/65.92 apply (zenon_L6_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.73/65.92 apply (zenon_L8_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.73/65.92 apply (zenon_L66_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.73/65.92 apply (zenon_L27_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.73/65.92 apply (zenon_L71_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.73/65.92 apply (zenon_L47_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.73/65.92 apply (zenon_L121_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.73/65.92 apply (zenon_L49_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.73/65.92 apply (zenon_L50_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.73/65.92 apply (zenon_L52_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.73/65.92 apply (zenon_L131_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.73/65.92 apply (zenon_L56_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.73/65.92 apply (zenon_L134_); trivial. % 65.73/65.92 apply (zenon_L58_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.73/65.92 apply (zenon_L1_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.73/65.92 apply (zenon_L2_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.73/65.92 apply (zenon_L6_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.73/65.92 apply (zenon_L8_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.73/65.92 apply (zenon_L66_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.73/65.92 apply (zenon_L27_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.73/65.92 apply (zenon_L71_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.73/65.92 apply (zenon_L47_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.73/65.92 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.73/65.92 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.73/65.92 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.73/65.92 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.73/65.92 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.73/65.92 exact (zenon_H17 zenon_H14). % 65.73/65.92 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.73/65.92 apply (zenon_L127_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.73/65.92 apply (zenon_L136_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.73/65.92 apply (zenon_L147_); trivial. % 65.73/65.92 apply (zenon_L72_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.73/65.92 apply (zenon_L148_); trivial. % 65.73/65.92 apply (zenon_L7_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.73/65.92 apply (zenon_L49_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.73/65.92 apply (zenon_L50_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.73/65.92 apply (zenon_L52_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.73/65.92 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.73/65.92 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.73/65.92 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.73/65.92 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.73/65.92 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.73/65.92 exact (zenon_H17 zenon_H14). % 65.73/65.92 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.73/65.92 apply (zenon_L152_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.73/65.92 apply (zenon_L136_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.73/65.92 apply (zenon_L153_); trivial. % 65.73/65.92 apply (zenon_L72_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.73/65.92 apply (zenon_L155_); trivial. % 65.73/65.92 apply (zenon_L7_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.73/65.92 apply (zenon_L56_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.73/65.92 apply (zenon_L162_); trivial. % 65.73/65.92 apply (zenon_L58_); trivial. % 65.73/65.92 apply (zenon_L163_); trivial. % 65.73/65.92 (* end of lemma zenon_L164_ *) % 65.73/65.92 assert (zenon_L165_ : (~((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e22))))) -> ((op2 (e21) (e22)) = (e21)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H1bb zenon_Hb5. % 65.73/65.92 cut (((e21) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114]. % 65.73/65.92 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 65.73/65.92 congruence. % 65.73/65.92 apply zenon_Hff. apply refl_equal. % 65.73/65.92 apply zenon_H114. apply sym_equal. exact zenon_Hb5. % 65.73/65.92 (* end of lemma zenon_L165_ *) % 65.73/65.92 assert (zenon_L166_ : (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> ((op2 (e21) (e22)) = (e21)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H118 zenon_H1bc zenon_Hb5. % 65.73/65.92 cut (((op2 (e21) (op2 (e21) (e22))) = (e21)) = ((op2 (e21) (e21)) = (op2 (e21) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H118. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H1bc. % 65.73/65.92 cut (((e21) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114]. % 65.73/65.92 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1bd]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H86 | zenon_intro zenon_H87 ]. % 65.73/65.92 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e21)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H1bd. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H86. % 65.73/65.92 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 65.73/65.92 cut (((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H1bb]. % 65.73/65.92 congruence. % 65.73/65.92 apply (zenon_L165_); trivial. % 65.73/65.92 apply zenon_H87. apply refl_equal. % 65.73/65.92 apply zenon_H87. apply refl_equal. % 65.73/65.92 apply zenon_H114. apply sym_equal. exact zenon_Hb5. % 65.73/65.92 (* end of lemma zenon_L166_ *) % 65.73/65.92 assert (zenon_L167_ : ((e21) = (op2 (e23) (e23))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e23) (e23)) = (op2 (e22) (e22)))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H19 zenon_H177 zenon_H1be. % 65.73/65.92 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ]. % 65.73/65.92 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e23) (e23)) = (op2 (e22) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H1be. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H4d. % 65.73/65.92 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 65.73/65.92 cut (((op2 (e22) (e22)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1bf]. % 65.73/65.92 congruence. % 65.73/65.92 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e22) (e22)) = (op2 (e23) (e23)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H1bf. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H19. % 65.73/65.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.73/65.92 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H178]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ]. % 65.73/65.92 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((e21) = (op2 (e22) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H178. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H4d. % 65.73/65.92 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 65.73/65.92 cut (((op2 (e22) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H23]. % 65.73/65.92 congruence. % 65.73/65.92 exact (zenon_H23 zenon_H177). % 65.73/65.92 apply zenon_H4e. apply refl_equal. % 65.73/65.92 apply zenon_H4e. apply refl_equal. % 65.73/65.92 apply zenon_Hbc. apply refl_equal. % 65.73/65.92 apply zenon_H4e. apply refl_equal. % 65.73/65.92 apply zenon_H4e. apply refl_equal. % 65.73/65.92 (* end of lemma zenon_L167_ *) % 65.73/65.92 assert (zenon_L168_ : (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e22) (e22)) = (e21)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H1a9 zenon_H16a zenon_H19 zenon_H177. % 65.73/65.92 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H1a9. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H19. % 65.73/65.92 cut (((op2 (e23) (e23)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1be]. % 65.73/65.92 cut (((e21) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H16d]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H2c | zenon_intro zenon_H2d ]. % 65.73/65.92 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e21) = (op2 (e22) (e20)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H16d. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H2c. % 65.73/65.92 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 65.73/65.92 cut (((op2 (e22) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H16e]. % 65.73/65.92 congruence. % 65.73/65.92 exact (zenon_H16e zenon_H16a). % 65.73/65.92 apply zenon_H2d. apply refl_equal. % 65.73/65.92 apply zenon_H2d. apply refl_equal. % 65.73/65.92 apply (zenon_L167_); trivial. % 65.73/65.92 (* end of lemma zenon_L168_ *) % 65.73/65.92 assert (zenon_L169_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.92 do 0 intro. intros zenon_H19e zenon_H15d zenon_H109 zenon_H131 zenon_Haa zenon_H29 zenon_H26 zenon_H161 zenon_H1bc zenon_H118 zenon_H16a zenon_H1a9 zenon_H19a zenon_H19. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H187 | zenon_intro zenon_H19f ]. % 65.73/65.92 apply (zenon_L120_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a0 ]. % 65.73/65.92 apply (zenon_L166_); trivial. % 65.73/65.92 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H177 | zenon_intro zenon_H19b ]. % 65.73/65.92 apply (zenon_L168_); trivial. % 65.73/65.92 apply (zenon_L133_); trivial. % 65.73/65.92 (* end of lemma zenon_L169_ *) % 65.73/65.92 assert (zenon_L170_ : (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (e22) (e21)) = (e21)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H171 zenon_H1bc zenon_Hb5 zenon_Hb6. % 65.73/65.92 cut (((op2 (e21) (op2 (e21) (e22))) = (e21)) = ((op2 (e21) (e21)) = (op2 (e22) (e21)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H171. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H1bc. % 65.73/65.92 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 65.73/65.92 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1bd]. % 65.73/65.92 congruence. % 65.73/65.92 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H86 | zenon_intro zenon_H87 ]. % 65.73/65.92 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e21)))). % 65.73/65.92 intro zenon_D_pnotp. % 65.73/65.92 apply zenon_H1bd. % 65.73/65.92 rewrite <- zenon_D_pnotp. % 65.73/65.92 exact zenon_H86. % 65.73/65.92 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 65.73/65.92 cut (((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H1bb]. % 65.73/65.92 congruence. % 65.73/65.92 apply (zenon_L165_); trivial. % 65.73/65.92 apply zenon_H87. apply refl_equal. % 65.73/65.92 apply zenon_H87. apply refl_equal. % 65.73/65.92 apply zenon_H173. apply sym_equal. exact zenon_Hb6. % 65.73/65.92 (* end of lemma zenon_L170_ *) % 65.73/65.92 assert (zenon_L171_ : (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> False). % 65.73/65.92 do 0 intro. intros zenon_H1c0 zenon_Hb6 zenon_H177. % 65.73/65.92 cut (((op2 (e22) (e21)) = (e21)) = ((op2 (e22) (e21)) = (op2 (e22) (e22)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H1c0. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_Hb6. % 65.73/65.93 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H178]. % 65.73/65.93 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 65.73/65.93 congruence. % 65.73/65.93 apply zenon_H48. apply refl_equal. % 65.73/65.93 apply zenon_H178. apply sym_equal. exact zenon_H177. % 65.73/65.93 (* end of lemma zenon_L171_ *) % 65.73/65.93 assert (zenon_L172_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H19e zenon_H15d zenon_H109 zenon_H131 zenon_Haa zenon_H29 zenon_H26 zenon_H161 zenon_H1bc zenon_H171 zenon_Hb6 zenon_H1c0 zenon_H19a zenon_H19. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H187 | zenon_intro zenon_H19f ]. % 65.73/65.93 apply (zenon_L120_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a0 ]. % 65.73/65.93 apply (zenon_L170_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H177 | zenon_intro zenon_H19b ]. % 65.73/65.93 apply (zenon_L171_); trivial. % 65.73/65.93 apply (zenon_L133_); trivial. % 65.73/65.93 (* end of lemma zenon_L172_ *) % 65.73/65.93 assert (zenon_L173_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H17e zenon_H1a9 zenon_H118 zenon_H19a zenon_H1c0 zenon_H171 zenon_H1bc zenon_H131 zenon_H19e zenon_H15d zenon_H109 zenon_H176 zenon_Haa zenon_H29 zenon_H26 zenon_H161 zenon_H17a zenon_H19. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H16a | zenon_intro zenon_H17f ]. % 65.73/65.93 apply (zenon_L169_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H180 ]. % 65.73/65.93 apply (zenon_L172_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H177 | zenon_intro zenon_H17b ]. % 65.73/65.93 apply (zenon_L132_); trivial. % 65.73/65.93 apply (zenon_L113_); trivial. % 65.73/65.93 (* end of lemma zenon_L173_ *) % 65.73/65.93 assert (zenon_L174_ : (~((op2 (e21) (e20)) = (op2 (e21) (op2 (e21) (e22))))) -> ((op2 (e21) (e22)) = (e20)) -> False). % 65.73/65.93 do 0 intro. intros zenon_H1c1 zenon_H9f. % 65.73/65.93 cut (((e20) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 65.73/65.93 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 65.73/65.93 congruence. % 65.73/65.93 apply zenon_Hff. apply refl_equal. % 65.73/65.93 apply zenon_Ha6. apply sym_equal. exact zenon_H9f. % 65.73/65.93 (* end of lemma zenon_L174_ *) % 65.73/65.93 assert (zenon_L175_ : ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H1bc zenon_H9f zenon_H13a zenon_H3e. % 65.73/65.93 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H116 | zenon_intro zenon_H117 ]. % 65.73/65.93 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H3e. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H116. % 65.73/65.93 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 65.73/65.93 cut (((op2 (e21) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H148]. % 65.73/65.93 congruence. % 65.73/65.93 cut (((op2 (e21) (op2 (e21) (e22))) = (e21)) = ((op2 (e21) (e20)) = (op2 (e20) (e20)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H148. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H1bc. % 65.73/65.93 cut (((e21) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H13b]. % 65.73/65.93 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 65.73/65.93 congruence. % 65.73/65.93 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H116 | zenon_intro zenon_H117 ]. % 65.73/65.93 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e20)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H1c2. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H116. % 65.73/65.93 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 65.73/65.93 cut (((op2 (e21) (e20)) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H1c1]. % 65.73/65.93 congruence. % 65.73/65.93 apply (zenon_L174_); trivial. % 65.73/65.93 apply zenon_H117. apply refl_equal. % 65.73/65.93 apply zenon_H117. apply refl_equal. % 65.73/65.93 apply zenon_H13b. apply sym_equal. exact zenon_H13a. % 65.73/65.93 apply zenon_H117. apply refl_equal. % 65.73/65.93 apply zenon_H117. apply refl_equal. % 65.73/65.93 (* end of lemma zenon_L175_ *) % 65.73/65.93 assert (zenon_L176_ : (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e22) (e22)) = (e21)) -> False). % 65.73/65.93 do 0 intro. intros zenon_H176 zenon_H1bc zenon_Hc9 zenon_H177. % 65.73/65.93 cut (((op2 (e21) (op2 (e21) (e22))) = (e21)) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H176. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H1bc. % 65.73/65.93 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H178]. % 65.73/65.93 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1c3]. % 65.73/65.93 congruence. % 65.73/65.93 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 65.73/65.93 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e22)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H1c3. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_Ha7. % 65.73/65.93 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 65.73/65.93 cut (((op2 (e21) (e22)) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H1c4]. % 65.73/65.93 congruence. % 65.73/65.93 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H168]. % 65.73/65.93 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 65.73/65.93 congruence. % 65.73/65.93 apply zenon_Hff. apply refl_equal. % 65.73/65.93 apply zenon_H168. apply sym_equal. exact zenon_Hc9. % 65.73/65.93 apply zenon_Ha8. apply refl_equal. % 65.73/65.93 apply zenon_Ha8. apply refl_equal. % 65.73/65.93 apply zenon_H178. apply sym_equal. exact zenon_H177. % 65.73/65.93 (* end of lemma zenon_L176_ *) % 65.73/65.93 assert (zenon_L177_ : (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> ((op2 (e21) (e22)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H109 zenon_H1bc zenon_H1c5 zenon_H19. % 65.73/65.93 cut (((op2 (e21) (op2 (e21) (e22))) = (e21)) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H109. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H1bc. % 65.73/65.93 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 65.73/65.93 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1c6]. % 65.73/65.93 congruence. % 65.73/65.93 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 65.73/65.93 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e23)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H1c6. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_Had. % 65.73/65.93 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 65.73/65.93 cut (((op2 (e21) (e23)) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H1c7]. % 65.73/65.93 congruence. % 65.73/65.93 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1c8]. % 65.73/65.93 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 65.73/65.93 congruence. % 65.73/65.93 apply zenon_Hff. apply refl_equal. % 65.73/65.93 apply zenon_H1c8. apply sym_equal. exact zenon_H1c5. % 65.73/65.93 apply zenon_Hae. apply refl_equal. % 65.73/65.93 apply zenon_Hae. apply refl_equal. % 65.73/65.93 exact (zenon_H10b zenon_H19). % 65.73/65.93 (* end of lemma zenon_L177_ *) % 65.73/65.93 assert (zenon_L178_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H1c9 zenon_H3e zenon_H13a zenon_H118 zenon_H177 zenon_H176 zenon_H109 zenon_H1bc zenon_H19. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H9f | zenon_intro zenon_H1ca ]. % 65.73/65.93 apply (zenon_L175_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1cb ]. % 65.73/65.93 apply (zenon_L166_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H1c5 ]. % 65.73/65.93 apply (zenon_L176_); trivial. % 65.73/65.93 apply (zenon_L177_); trivial. % 65.73/65.93 (* end of lemma zenon_L178_ *) % 65.73/65.93 assert (zenon_L179_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H17e zenon_H16b zenon_H171 zenon_H82 zenon_H1bc zenon_H109 zenon_H176 zenon_H118 zenon_H13a zenon_H3e zenon_H1c9 zenon_H17a zenon_H19. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H16a | zenon_intro zenon_H17f ]. % 65.73/65.93 apply (zenon_L108_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H180 ]. % 65.73/65.93 apply (zenon_L110_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H177 | zenon_intro zenon_H17b ]. % 65.73/65.93 apply (zenon_L178_); trivial. % 65.73/65.93 apply (zenon_L113_); trivial. % 65.73/65.93 (* end of lemma zenon_L179_ *) % 65.73/65.93 assert (zenon_L180_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H181 zenon_H17a zenon_H1c9 zenon_H3e zenon_H13a zenon_H176 zenon_H171 zenon_H16b zenon_H17e zenon_H1bc zenon_H118 zenon_H109 zenon_H19. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.73/65.93 apply (zenon_L96_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.73/65.93 apply (zenon_L179_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.73/65.93 apply (zenon_L166_); trivial. % 65.73/65.93 apply (zenon_L100_); trivial. % 65.73/65.93 (* end of lemma zenon_L180_ *) % 65.73/65.93 assert (zenon_L181_ : (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e20)) -> False). % 65.73/65.93 do 0 intro. intros zenon_H131 zenon_H8f zenon_H145 zenon_H9f. % 65.73/65.93 cut (((op2 (e20) (op2 (e20) (e20))) = (e20)) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H131. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H8f. % 65.73/65.93 cut (((e20) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 65.73/65.93 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H18f]. % 65.73/65.93 congruence. % 65.73/65.93 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 65.73/65.93 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e22)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H18f. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H133. % 65.73/65.93 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H134]. % 65.73/65.93 cut (((op2 (e20) (e22)) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H18c]. % 65.73/65.93 congruence. % 65.73/65.93 apply (zenon_L122_); trivial. % 65.73/65.93 apply zenon_H134. apply refl_equal. % 65.73/65.93 apply zenon_H134. apply refl_equal. % 65.73/65.93 apply zenon_Ha6. apply sym_equal. exact zenon_H9f. % 65.73/65.93 (* end of lemma zenon_L181_ *) % 65.73/65.93 assert (zenon_L182_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e23) (e21)) = (e22)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H1c9 zenon_H145 zenon_H8f zenon_H82 zenon_H102 zenon_H118 zenon_H131 zenon_Hc6 zenon_H94 zenon_H26 zenon_H109 zenon_H1bc zenon_H19. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H9f | zenon_intro zenon_H1ca ]. % 65.73/65.93 apply (zenon_L181_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1cb ]. % 65.73/65.93 apply (zenon_L69_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H1c5 ]. % 65.73/65.93 apply (zenon_L106_); trivial. % 65.73/65.93 apply (zenon_L177_); trivial. % 65.73/65.93 (* end of lemma zenon_L182_ *) % 65.73/65.93 assert (zenon_L183_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H181 zenon_H103 zenon_H8f zenon_H33 zenon_H1c9 zenon_H131 zenon_Hc6 zenon_H1bc zenon_H17e zenon_H16b zenon_H171 zenon_H187 zenon_H150 zenon_H17a zenon_H17 zenon_H142 zenon_H4f zenon_H44 zenon_H29 zenon_H28 zenon_H6e zenon_H8a zenon_H56 zenon_H9c zenon_H102 zenon_H107 zenon_H26 zenon_H118 zenon_H72 zenon_H10f zenon_H109 zenon_H19. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.73/65.93 apply (zenon_L65_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.73/65.93 apply (zenon_L19_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.73/65.93 apply (zenon_L63_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.73/65.93 apply (zenon_L33_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.73/65.93 apply (zenon_L5_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.73/65.93 apply (zenon_L12_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.73/65.93 exact (zenon_H4f zenon_H4b). % 65.73/65.93 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H14 | zenon_intro zenon_H143 ]. % 65.73/65.93 exact (zenon_H17 zenon_H14). % 65.73/65.93 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H13a | zenon_intro zenon_H144 ]. % 65.73/65.93 apply (zenon_L142_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H145 | zenon_intro zenon_H13e ]. % 65.73/65.93 apply (zenon_L182_); trivial. % 65.73/65.93 apply (zenon_L90_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.73/65.93 apply (zenon_L115_); trivial. % 65.73/65.93 apply (zenon_L100_); trivial. % 65.73/65.93 (* end of lemma zenon_L183_ *) % 65.73/65.93 assert (zenon_L184_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H189 zenon_H31 zenon_H13c zenon_H85 zenon_H109 zenon_H10f zenon_H72 zenon_H118 zenon_H26 zenon_H107 zenon_H102 zenon_H9c zenon_H56 zenon_H8a zenon_H6e zenon_H28 zenon_H29 zenon_H44 zenon_H4f zenon_H142 zenon_H17 zenon_H17a zenon_H150 zenon_H171 zenon_H16b zenon_H17e zenon_H1bc zenon_Hc6 zenon_H131 zenon_H1c9 zenon_H33 zenon_H8f zenon_H103 zenon_H181 zenon_H119 zenon_H19. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.73/65.93 apply (zenon_L88_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.73/65.93 apply (zenon_L118_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.73/65.93 apply (zenon_L183_); trivial. % 65.73/65.93 apply (zenon_L72_); trivial. % 65.73/65.93 (* end of lemma zenon_L184_ *) % 65.73/65.93 assert (zenon_L185_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 65.73/65.93 do 0 intro. intros zenon_H194 zenon_H1a6 zenon_H1a9 zenon_H164 zenon_H19 zenon_H109 zenon_H10f zenon_H72 zenon_H118 zenon_H26 zenon_H107 zenon_H102 zenon_H9c zenon_H56 zenon_H8a zenon_H6e zenon_H28 zenon_H29 zenon_H44 zenon_H4f zenon_H142 zenon_H17 zenon_H17a zenon_H150 zenon_H187 zenon_H171 zenon_H16b zenon_H17e zenon_H1bc zenon_H131 zenon_H1c9 zenon_H33 zenon_H8f zenon_H103 zenon_H181 zenon_H193 zenon_Hde. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H145 | zenon_intro zenon_H195 ]. % 65.73/65.93 apply (zenon_L151_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H63 | zenon_intro zenon_H196 ]. % 65.73/65.93 apply (zenon_L19_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H122 ]. % 65.73/65.93 apply (zenon_L183_); trivial. % 65.73/65.93 apply (zenon_L128_); trivial. % 65.73/65.93 (* end of lemma zenon_L185_ *) % 65.73/65.93 assert (zenon_L186_ : (((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.93 do 0 intro. intros zenon_Hdc zenon_H189 zenon_H176 zenon_H3e zenon_H85 zenon_H193 zenon_H181 zenon_H103 zenon_H8f zenon_H33 zenon_H1c9 zenon_H131 zenon_H1bc zenon_H17e zenon_H16b zenon_H171 zenon_H150 zenon_H17a zenon_H142 zenon_H44 zenon_H29 zenon_H28 zenon_H6e zenon_H8a zenon_H56 zenon_H9c zenon_H102 zenon_H107 zenon_H26 zenon_H118 zenon_H10f zenon_H109 zenon_H164 zenon_H1a9 zenon_H1a6 zenon_H194 zenon_H119 zenon_H19. % 65.73/65.93 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.73/65.93 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.73/65.93 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.73/65.93 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.73/65.93 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.73/65.93 apply (zenon_L180_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.73/65.93 apply (zenon_L118_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.73/65.93 apply (zenon_L185_); trivial. % 65.73/65.93 apply (zenon_L72_); trivial. % 65.73/65.93 (* end of lemma zenon_L186_ *) % 65.73/65.93 assert (zenon_L187_ : (((op2 (e20) (op2 (e20) (e23))) = (e20))\/(((op2 (e21) (op2 (e21) (e23))) = (e21))\/(((op2 (e22) (op2 (e22) (e23))) = (e22))\/((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H1b8 zenon_H79 zenon_H12e zenon_H76 zenon_H135 zenon_H12b zenon_H136 zenon_H123 zenon_H161 zenon_H19e zenon_H1c0 zenon_H19a zenon_H194 zenon_H19 zenon_H96 zenon_H182 zenon_H14c zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_Haa zenon_H6e zenon_H28 zenon_H44 zenon_H29 zenon_H4a zenon_H1af zenon_H33 zenon_H189 zenon_H176 zenon_H3e zenon_H85 zenon_H181 zenon_H103 zenon_H8f zenon_H1c9 zenon_H1bc zenon_H17e zenon_H16b zenon_H171 zenon_H150 zenon_H17a zenon_H142 zenon_H102 zenon_H118 zenon_H10f zenon_H109 zenon_H164 zenon_H1a9 zenon_H119 zenon_Hd0 zenon_H197 zenon_H1a1 zenon_H13c zenon_Hba zenon_H113 zenon_Hf0 zenon_H193 zenon_H26. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.73/65.93 apply (zenon_L94_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.73/65.93 apply (zenon_L173_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.73/65.93 apply (zenon_L1_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.73/65.93 apply (zenon_L2_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.73/65.93 apply (zenon_L6_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.73/65.93 apply (zenon_L8_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.73/65.93 apply (zenon_L66_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.73/65.93 apply (zenon_L27_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.73/65.93 apply (zenon_L71_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.73/65.93 apply (zenon_L47_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.73/65.93 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.73/65.93 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.73/65.93 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.73/65.93 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.73/65.93 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.73/65.93 exact (zenon_H17 zenon_H14). % 65.73/65.93 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.73/65.93 apply (zenon_L180_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.73/65.93 apply (zenon_L136_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.73/65.93 apply (zenon_L183_); trivial. % 65.73/65.93 apply (zenon_L72_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.73/65.93 apply (zenon_L184_); trivial. % 65.73/65.93 apply (zenon_L7_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.73/65.93 apply (zenon_L49_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.73/65.93 apply (zenon_L50_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.73/65.93 apply (zenon_L52_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.73/65.93 apply (zenon_L186_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.73/65.93 apply (zenon_L56_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.73/65.93 apply (zenon_L162_); trivial. % 65.73/65.93 apply (zenon_L58_); trivial. % 65.73/65.93 apply (zenon_L163_); trivial. % 65.73/65.93 (* end of lemma zenon_L187_ *) % 65.73/65.93 assert (zenon_L188_ : (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> False). % 65.73/65.93 do 0 intro. intros zenon_H8a zenon_H1cc zenon_H177 zenon_H94. % 65.73/65.93 cut (((op2 (e22) (op2 (e22) (e22))) = (e22)) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H8a. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H1cc. % 65.73/65.93 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 65.73/65.93 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1cd]. % 65.73/65.93 congruence. % 65.73/65.93 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H47 | zenon_intro zenon_H48 ]. % 65.73/65.93 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e21)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H1cd. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H47. % 65.73/65.93 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 65.73/65.93 cut (((op2 (e22) (e21)) = (op2 (e22) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H1ce]. % 65.73/65.93 congruence. % 65.73/65.93 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H178]. % 65.73/65.93 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 65.73/65.93 congruence. % 65.73/65.93 apply zenon_H1a4. apply refl_equal. % 65.73/65.93 apply zenon_H178. apply sym_equal. exact zenon_H177. % 65.73/65.93 apply zenon_H48. apply refl_equal. % 65.73/65.93 apply zenon_H48. apply refl_equal. % 65.73/65.93 apply zenon_H99. apply sym_equal. exact zenon_H94. % 65.73/65.93 (* end of lemma zenon_L188_ *) % 65.73/65.93 assert (zenon_L189_ : (~((op2 (e22) (e22)) = (op2 (e22) (op2 (e22) (e22))))) -> ((op2 (e22) (e22)) = (e22)) -> False). % 65.73/65.93 do 0 intro. intros zenon_H1cf zenon_Hcc. % 65.73/65.93 cut (((e22) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H152]. % 65.73/65.93 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 65.73/65.93 congruence. % 65.73/65.93 apply zenon_H1a4. apply refl_equal. % 65.73/65.93 apply zenon_H152. apply sym_equal. exact zenon_Hcc. % 65.73/65.93 (* end of lemma zenon_L189_ *) % 65.73/65.93 assert (zenon_L190_ : ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H1cc zenon_Hcc zenon_Hc5 zenon_H1a9. % 65.73/65.93 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ]. % 65.73/65.93 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H1a9. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H4d. % 65.73/65.93 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 65.73/65.93 cut (((op2 (e22) (e22)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1d0]. % 65.73/65.93 congruence. % 65.73/65.93 cut (((op2 (e22) (op2 (e22) (e22))) = (e22)) = ((op2 (e22) (e22)) = (op2 (e22) (e20)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H1d0. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H1cc. % 65.73/65.93 cut (((e22) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H14b]. % 65.73/65.93 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1d1]. % 65.73/65.93 congruence. % 65.73/65.93 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ]. % 65.73/65.93 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H1d1. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H4d. % 65.73/65.93 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 65.73/65.93 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H1cf]. % 65.73/65.93 congruence. % 65.73/65.93 apply (zenon_L189_); trivial. % 65.73/65.93 apply zenon_H4e. apply refl_equal. % 65.73/65.93 apply zenon_H4e. apply refl_equal. % 65.73/65.93 apply zenon_H14b. apply sym_equal. exact zenon_Hc5. % 65.73/65.93 apply zenon_H4e. apply refl_equal. % 65.73/65.93 apply zenon_H4e. apply refl_equal. % 65.73/65.93 (* end of lemma zenon_L190_ *) % 65.73/65.93 assert (zenon_L191_ : ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> ((op2 (e22) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H1cc zenon_H1d2 zenon_H156 zenon_Haa. % 65.73/65.93 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 65.73/65.93 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_Haa. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H158. % 65.73/65.93 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 65.73/65.93 cut (((op2 (e22) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H15a]. % 65.73/65.93 congruence. % 65.73/65.93 cut (((op2 (e22) (op2 (e22) (e22))) = (e22)) = ((op2 (e22) (e23)) = (op2 (e21) (e23)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H15a. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H1cc. % 65.73/65.93 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H157]. % 65.73/65.93 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1d3]. % 65.73/65.93 congruence. % 65.73/65.93 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 65.73/65.93 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e23)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H1d3. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H158. % 65.73/65.93 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 65.73/65.93 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H1d4]. % 65.73/65.93 congruence. % 65.73/65.93 cut (((e23) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1d5]. % 65.73/65.93 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 65.73/65.93 congruence. % 65.73/65.93 apply zenon_H1a4. apply refl_equal. % 65.73/65.93 apply zenon_H1d5. apply sym_equal. exact zenon_H1d2. % 65.73/65.93 apply zenon_H159. apply refl_equal. % 65.73/65.93 apply zenon_H159. apply refl_equal. % 65.73/65.93 apply zenon_H157. apply sym_equal. exact zenon_H156. % 65.73/65.93 apply zenon_H159. apply refl_equal. % 65.73/65.93 apply zenon_H159. apply refl_equal. % 65.73/65.93 (* end of lemma zenon_L191_ *) % 65.73/65.93 assert (zenon_L192_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H1d6 zenon_H4f zenon_H94 zenon_H8a zenon_H1a9 zenon_Hc5 zenon_H1cc zenon_H156 zenon_Haa. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H4b | zenon_intro zenon_H1d7 ]. % 65.73/65.93 exact (zenon_H4f zenon_H4b). % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H177 | zenon_intro zenon_H1d8 ]. % 65.73/65.93 apply (zenon_L188_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1d2 ]. % 65.73/65.93 apply (zenon_L190_); trivial. % 65.73/65.93 apply (zenon_L191_); trivial. % 65.73/65.93 (* end of lemma zenon_L192_ *) % 65.73/65.93 assert (zenon_L193_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H9c zenon_H56 zenon_H107 zenon_H19 zenon_H26 zenon_H1d6 zenon_H4f zenon_H8a zenon_H1a9 zenon_Hc5 zenon_H1cc zenon_H156 zenon_Haa. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.73/65.93 apply (zenon_L19_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.73/65.93 apply (zenon_L63_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.73/65.93 apply (zenon_L33_); trivial. % 65.73/65.93 apply (zenon_L192_); trivial. % 65.73/65.93 (* end of lemma zenon_L193_ *) % 65.73/65.93 assert (zenon_L194_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H182 zenon_H14c zenon_H131 zenon_Hc6 zenon_H9c zenon_H56 zenon_H107 zenon_H19 zenon_H26 zenon_H1d6 zenon_H4f zenon_H8a zenon_H1a9 zenon_Hc5 zenon_H1cc zenon_Haa. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H14d | zenon_intro zenon_H185 ]. % 65.73/65.93 apply (zenon_L157_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H186 ]. % 65.73/65.93 apply (zenon_L63_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H156 ]. % 65.73/65.93 apply (zenon_L107_); trivial. % 65.73/65.93 apply (zenon_L193_); trivial. % 65.73/65.93 (* end of lemma zenon_L194_ *) % 65.73/65.93 assert (zenon_L195_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False). % 65.73/65.93 do 0 intro. intros zenon_Hc3 zenon_H182 zenon_H14c zenon_H131 zenon_H9c zenon_H56 zenon_H107 zenon_H19 zenon_H26 zenon_H1d6 zenon_H8a zenon_H1a9 zenon_H1cc zenon_Haa. % 65.73/65.93 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.73/65.93 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.73/65.93 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.73/65.93 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.73/65.93 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.73/65.93 apply (zenon_L194_); trivial. % 65.73/65.93 (* end of lemma zenon_L195_ *) % 65.73/65.93 assert (zenon_L196_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H9c zenon_H56 zenon_H19e zenon_H15d zenon_H131 zenon_Haa zenon_H29 zenon_H161 zenon_H102 zenon_H109 zenon_H107 zenon_H26 zenon_H118 zenon_H72 zenon_H10f zenon_H1cc zenon_H8a zenon_H19a zenon_H19. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.73/65.93 apply (zenon_L19_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.73/65.93 apply (zenon_L63_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.73/65.93 apply (zenon_L33_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H187 | zenon_intro zenon_H19f ]. % 65.73/65.93 apply (zenon_L120_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a0 ]. % 65.73/65.93 apply (zenon_L115_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H177 | zenon_intro zenon_H19b ]. % 65.73/65.93 apply (zenon_L188_); trivial. % 65.73/65.93 apply (zenon_L133_); trivial. % 65.73/65.93 (* end of lemma zenon_L196_ *) % 65.73/65.93 assert (zenon_L197_ : (((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.73/65.93 do 0 intro. intros zenon_Hdc zenon_H9c zenon_H56 zenon_H19e zenon_H15d zenon_H131 zenon_Haa zenon_H29 zenon_H161 zenon_H102 zenon_H109 zenon_H107 zenon_H26 zenon_H118 zenon_H10f zenon_H1cc zenon_H8a zenon_H19a zenon_H19. % 65.73/65.93 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.73/65.93 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.73/65.93 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.73/65.93 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.73/65.93 apply (zenon_L196_); trivial. % 65.73/65.93 (* end of lemma zenon_L197_ *) % 65.73/65.93 assert (zenon_L198_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> False). % 65.73/65.93 do 0 intro. intros zenon_Hf0 zenon_H28 zenon_H33 zenon_H103 zenon_Hba zenon_H1a9 zenon_H1d6 zenon_H14c zenon_H182 zenon_Hd0 zenon_H107 zenon_H19 zenon_H19a zenon_H8a zenon_H1cc zenon_H10f zenon_H113 zenon_H118 zenon_H109 zenon_H102 zenon_H161 zenon_H26 zenon_H29 zenon_Haa zenon_H131 zenon_H15d zenon_H19e zenon_H56 zenon_H9c. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.73/65.93 apply (zenon_L1_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.73/65.93 apply (zenon_L2_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.73/65.93 apply (zenon_L6_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.73/65.93 apply (zenon_L8_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.73/65.93 apply (zenon_L66_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.73/65.93 apply (zenon_L27_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.73/65.93 apply (zenon_L71_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.73/65.93 apply (zenon_L47_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.73/65.93 apply (zenon_L195_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.73/65.93 apply (zenon_L49_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.73/65.93 apply (zenon_L50_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.73/65.93 apply (zenon_L52_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.73/65.93 apply (zenon_L197_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.73/65.93 apply (zenon_L56_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.73/65.93 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.73/65.93 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.73/65.93 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.73/65.93 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.73/65.93 apply (zenon_L19_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.73/65.93 exact (zenon_H9d zenon_Ha3). % 65.73/65.93 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.73/65.93 apply (zenon_L33_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H187 | zenon_intro zenon_H19f ]. % 65.73/65.93 apply (zenon_L120_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a0 ]. % 65.73/65.93 apply (zenon_L70_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H177 | zenon_intro zenon_H19b ]. % 65.73/65.93 apply (zenon_L188_); trivial. % 65.73/65.93 apply (zenon_L133_); trivial. % 65.73/65.93 apply (zenon_L58_); trivial. % 65.73/65.93 (* end of lemma zenon_L198_ *) % 65.73/65.93 assert (zenon_L199_ : ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H26 zenon_H1d9 zenon_H19 zenon_Hba. % 65.73/65.93 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1da | zenon_intro zenon_Hbc ]. % 65.73/65.93 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_Hba. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H1da. % 65.73/65.93 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.73/65.93 cut (((op2 (e23) (e23)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1db]. % 65.73/65.93 congruence. % 65.73/65.93 cut (((e22) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e23) (e23)) = (op2 (e23) (e21)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H1db. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H26. % 65.73/65.93 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 65.73/65.93 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1dc]. % 65.73/65.93 congruence. % 65.73/65.93 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1da | zenon_intro zenon_Hbc ]. % 65.73/65.93 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((e22) = (op2 (e23) (e23)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H1dc. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H1da. % 65.73/65.93 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.73/65.93 cut (((op2 (e23) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 65.73/65.93 congruence. % 65.73/65.93 exact (zenon_Hcd zenon_H1d9). % 65.73/65.93 apply zenon_Hbc. apply refl_equal. % 65.73/65.93 apply zenon_Hbc. apply refl_equal. % 65.73/65.93 apply (zenon_L18_); trivial. % 65.73/65.93 apply zenon_Hbc. apply refl_equal. % 65.73/65.93 apply zenon_Hbc. apply refl_equal. % 65.73/65.93 (* end of lemma zenon_L199_ *) % 65.73/65.93 assert (zenon_L200_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e23)) = (e23)) -> (~((e22) = (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H1dd zenon_Hde zenon_H193 zenon_Haa zenon_H1cc zenon_Hc5 zenon_H1a9 zenon_H8a zenon_H4f zenon_H1d6 zenon_H107 zenon_H56 zenon_H9c zenon_H51 zenon_H1a6 zenon_H28 zenon_H26 zenon_H19 zenon_Hba. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H122 | zenon_intro zenon_H1de ]. % 65.73/65.93 apply (zenon_L128_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H156 | zenon_intro zenon_H1df ]. % 65.73/65.93 apply (zenon_L193_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1d9 ]. % 65.73/65.93 apply (zenon_L149_); trivial. % 65.73/65.93 apply (zenon_L199_); trivial. % 65.73/65.93 (* end of lemma zenon_L200_ *) % 65.73/65.93 assert (zenon_L201_ : (((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> False). % 65.73/65.93 do 0 intro. intros zenon_Hdc zenon_H6e zenon_H29 zenon_H44 zenon_H164 zenon_Hba zenon_H9c zenon_H56 zenon_H107 zenon_H1d6 zenon_H1cc zenon_Haa zenon_H193 zenon_H1dd zenon_H19 zenon_H26 zenon_H8a zenon_H1a9 zenon_H28 zenon_H1a6. % 65.73/65.93 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.73/65.93 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.73/65.93 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.73/65.93 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.73/65.93 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.73/65.93 apply (zenon_L5_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.73/65.93 apply (zenon_L12_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.73/65.93 exact (zenon_H4f zenon_H4b). % 65.73/65.93 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H165 ]. % 65.73/65.93 apply (zenon_L200_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H8b | zenon_intro zenon_H166 ]. % 65.73/65.93 apply (zenon_L33_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hd8 ]. % 65.73/65.93 apply (zenon_L144_); trivial. % 65.73/65.93 apply (zenon_L149_); trivial. % 65.73/65.93 (* end of lemma zenon_L201_ *) % 65.73/65.93 assert (zenon_L202_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> False). % 65.73/65.93 do 0 intro. intros zenon_Hf0 zenon_H103 zenon_H102 zenon_H109 zenon_H118 zenon_H113 zenon_H10f zenon_Hd0 zenon_H1a9 zenon_H1dd zenon_H193 zenon_H1cc zenon_H1d6 zenon_Hba zenon_H164 zenon_H33 zenon_H1a6 zenon_H1af zenon_H4a zenon_H29 zenon_H44 zenon_H28 zenon_H6e zenon_Haa zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H131 zenon_H14c zenon_H182 zenon_H96 zenon_H26 zenon_H19 zenon_H194. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.73/65.93 apply (zenon_L1_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.73/65.93 apply (zenon_L2_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.73/65.93 apply (zenon_L6_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.73/65.93 apply (zenon_L8_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.73/65.93 apply (zenon_L66_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.73/65.93 apply (zenon_L27_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.73/65.93 apply (zenon_L71_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.73/65.93 apply (zenon_L47_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.73/65.93 apply (zenon_L195_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.73/65.93 apply (zenon_L49_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.73/65.93 apply (zenon_L50_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.73/65.93 apply (zenon_L52_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.73/65.93 apply (zenon_L201_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.73/65.93 apply (zenon_L56_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.73/65.93 apply (zenon_L162_); trivial. % 65.73/65.93 apply (zenon_L58_); trivial. % 65.73/65.93 (* end of lemma zenon_L202_ *) % 65.73/65.93 assert (zenon_L203_ : (((op2 (e20) (op2 (e20) (e23))) = (e20))\/(((op2 (e21) (op2 (e21) (e23))) = (e21))\/(((op2 (e22) (op2 (e22) (e23))) = (e22))\/((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H1b8 zenon_H79 zenon_H12e zenon_H3e zenon_H142 zenon_H76 zenon_H135 zenon_H119 zenon_H12b zenon_H13c zenon_H136 zenon_H8f zenon_H123 zenon_H19e zenon_H161 zenon_H19a zenon_H194 zenon_H19 zenon_H96 zenon_H182 zenon_H14c zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_Haa zenon_H6e zenon_H28 zenon_H44 zenon_H29 zenon_H4a zenon_H1af zenon_H33 zenon_H164 zenon_Hba zenon_H1d6 zenon_H1cc zenon_H1dd zenon_H1a9 zenon_Hd0 zenon_H10f zenon_H113 zenon_H118 zenon_H109 zenon_H102 zenon_H103 zenon_Hf0 zenon_H193 zenon_H26. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.73/65.93 apply (zenon_L94_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.73/65.93 apply (zenon_L198_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.73/65.93 apply (zenon_L202_); trivial. % 65.73/65.93 apply (zenon_L163_); trivial. % 65.73/65.93 (* end of lemma zenon_L203_ *) % 65.73/65.93 assert (zenon_L204_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e23) (e22)) = (e20)) -> False). % 65.73/65.93 do 0 intro. intros zenon_H135 zenon_H8f zenon_H145 zenon_H92. % 65.73/65.93 cut (((op2 (e20) (op2 (e20) (e20))) = (e20)) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H135. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H8f. % 65.73/65.93 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 65.73/65.93 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H18f]. % 65.73/65.93 congruence. % 65.73/65.93 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 65.73/65.93 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e22)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H18f. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H133. % 65.73/65.93 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H134]. % 65.73/65.93 cut (((op2 (e20) (e22)) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H18c]. % 65.73/65.93 congruence. % 65.73/65.93 apply (zenon_L122_); trivial. % 65.73/65.93 apply zenon_H134. apply refl_equal. % 65.73/65.93 apply zenon_H134. apply refl_equal. % 65.73/65.93 apply zenon_H93. apply sym_equal. exact zenon_H92. % 65.73/65.93 (* end of lemma zenon_L204_ *) % 65.73/65.93 assert (zenon_L205_ : (~((op2 (e23) (e23)) = (op2 (e23) (op2 (e23) (e22))))) -> ((op2 (e23) (e22)) = (e23)) -> False). % 65.73/65.93 do 0 intro. intros zenon_H1e0 zenon_He5. % 65.73/65.93 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e1]. % 65.73/65.93 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 65.73/65.93 congruence. % 65.73/65.93 apply zenon_H24. apply refl_equal. % 65.73/65.93 apply zenon_H1e1. apply sym_equal. exact zenon_He5. % 65.73/65.93 (* end of lemma zenon_L205_ *) % 65.73/65.93 assert (zenon_L206_ : ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H1e2 zenon_He5 zenon_Hde zenon_H119. % 65.73/65.93 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1da | zenon_intro zenon_Hbc ]. % 65.73/65.93 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H119. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H1da. % 65.73/65.93 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.73/65.93 cut (((op2 (e23) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1e3]. % 65.73/65.93 congruence. % 65.73/65.93 cut (((op2 (e23) (op2 (e23) (e22))) = (e23)) = ((op2 (e23) (e23)) = (op2 (e20) (e23)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H1e3. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H1e2. % 65.73/65.93 cut (((e23) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 65.73/65.93 cut (((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1e4]. % 65.73/65.93 congruence. % 65.73/65.93 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1da | zenon_intro zenon_Hbc ]. % 65.73/65.93 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (e23)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H1e4. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H1da. % 65.73/65.93 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.73/65.93 cut (((op2 (e23) (e23)) = (op2 (e23) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H1e0]. % 65.73/65.93 congruence. % 65.73/65.93 apply (zenon_L205_); trivial. % 65.73/65.93 apply zenon_Hbc. apply refl_equal. % 65.73/65.93 apply zenon_Hbc. apply refl_equal. % 65.73/65.93 apply zenon_H12a. apply sym_equal. exact zenon_Hde. % 65.73/65.93 apply zenon_Hbc. apply refl_equal. % 65.73/65.93 apply zenon_Hbc. apply refl_equal. % 65.73/65.93 (* end of lemma zenon_L206_ *) % 65.73/65.93 assert (zenon_L207_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H1e5 zenon_H145 zenon_H8f zenon_H135 zenon_H19a zenon_Hd0 zenon_H19 zenon_H26 zenon_H1e2 zenon_Hde zenon_H119. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.73/65.93 apply (zenon_L204_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.73/65.93 apply (zenon_L133_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.73/65.93 apply (zenon_L51_); trivial. % 65.73/65.93 apply (zenon_L206_); trivial. % 65.73/65.93 (* end of lemma zenon_L207_ *) % 65.73/65.93 assert (zenon_L208_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 65.73/65.93 do 0 intro. intros zenon_H194 zenon_H119 zenon_H1e2 zenon_Hd0 zenon_H19a zenon_H135 zenon_H8f zenon_H1e5 zenon_H19 zenon_H109 zenon_H10f zenon_H72 zenon_H118 zenon_H26 zenon_H107 zenon_H102 zenon_H182 zenon_Haa zenon_H29 zenon_H161 zenon_H150 zenon_H14c zenon_H164 zenon_H131 zenon_H8a zenon_H56 zenon_H9c zenon_H17e zenon_H16b zenon_H13a zenon_H171 zenon_H15d zenon_H176 zenon_H17a zenon_H3e zenon_H181 zenon_H193 zenon_Hde. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H145 | zenon_intro zenon_H195 ]. % 65.73/65.93 apply (zenon_L207_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H63 | zenon_intro zenon_H196 ]. % 65.73/65.93 apply (zenon_L19_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H122 ]. % 65.73/65.93 apply (zenon_L116_); trivial. % 65.73/65.93 apply (zenon_L128_); trivial. % 65.73/65.93 (* end of lemma zenon_L208_ *) % 65.73/65.93 assert (zenon_L209_ : ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H1e2 zenon_He5 zenon_He6 zenon_H17a. % 65.73/65.93 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1da | zenon_intro zenon_Hbc ]. % 65.73/65.93 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H17a. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H1da. % 65.73/65.93 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.73/65.93 cut (((op2 (e23) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1e8]. % 65.73/65.93 congruence. % 65.73/65.93 cut (((op2 (e23) (op2 (e23) (e22))) = (e23)) = ((op2 (e23) (e23)) = (op2 (e22) (e23)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H1e8. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H1e2. % 65.73/65.93 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1b3]. % 65.73/65.93 cut (((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1e4]. % 65.73/65.93 congruence. % 65.73/65.93 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1da | zenon_intro zenon_Hbc ]. % 65.73/65.93 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (e23)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H1e4. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H1da. % 65.73/65.93 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.73/65.93 cut (((op2 (e23) (e23)) = (op2 (e23) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H1e0]. % 65.73/65.93 congruence. % 65.73/65.93 apply (zenon_L205_); trivial. % 65.73/65.93 apply zenon_Hbc. apply refl_equal. % 65.73/65.93 apply zenon_Hbc. apply refl_equal. % 65.73/65.93 apply zenon_H1b3. apply sym_equal. exact zenon_He6. % 65.73/65.93 apply zenon_Hbc. apply refl_equal. % 65.73/65.93 apply zenon_Hbc. apply refl_equal. % 65.73/65.93 (* end of lemma zenon_L209_ *) % 65.73/65.93 assert (zenon_L210_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False). % 65.73/65.93 do 0 intro. intros zenon_He3 zenon_H1e2 zenon_H17a. % 65.73/65.93 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.73/65.93 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.73/65.93 apply (zenon_L209_); trivial. % 65.73/65.93 (* end of lemma zenon_L210_ *) % 65.73/65.93 assert (zenon_L211_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> False). % 65.73/65.93 do 0 intro. intros zenon_Hf0 zenon_H113 zenon_Hba zenon_H26 zenon_H29 zenon_H33 zenon_H189 zenon_H8f zenon_H13c zenon_H10f zenon_H118 zenon_H107 zenon_H102 zenon_H85 zenon_H103 zenon_H181 zenon_H15d zenon_H109 zenon_H131 zenon_Haa zenon_H161 zenon_H119 zenon_H193 zenon_H3e zenon_H176 zenon_H171 zenon_H16b zenon_H17e zenon_H9c zenon_H56 zenon_H8a zenon_H164 zenon_H14c zenon_H150 zenon_H182 zenon_H1e5 zenon_H135 zenon_H19a zenon_Hd0 zenon_H194 zenon_H1a1 zenon_H142 zenon_H44 zenon_H28 zenon_H6e zenon_H197 zenon_H19 zenon_H17a zenon_H1e2. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.73/65.93 apply (zenon_L1_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.73/65.93 apply (zenon_L2_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.73/65.93 apply (zenon_L6_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.73/65.93 apply (zenon_L8_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.73/65.93 apply (zenon_L66_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.73/65.93 apply (zenon_L27_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.73/65.93 apply (zenon_L71_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.73/65.93 apply (zenon_L47_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.73/65.93 apply (zenon_L121_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.73/65.93 apply (zenon_L49_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.73/65.93 apply (zenon_L50_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.73/65.93 apply (zenon_L52_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.73/65.93 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.73/65.93 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.73/65.93 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.73/65.93 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.73/65.93 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.73/65.93 exact (zenon_H17 zenon_H14). % 65.73/65.93 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.73/65.93 apply (zenon_L208_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.73/65.93 apply (zenon_L136_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.73/65.93 apply (zenon_L120_); trivial. % 65.73/65.93 apply (zenon_L72_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.73/65.93 apply (zenon_L130_); trivial. % 65.73/65.93 apply (zenon_L7_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.73/65.93 apply (zenon_L56_); trivial. % 65.73/65.93 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.73/65.93 apply (zenon_L210_); trivial. % 65.73/65.93 apply (zenon_L58_); trivial. % 65.73/65.93 (* end of lemma zenon_L211_ *) % 65.73/65.93 assert (zenon_L212_ : (~((e13) = (e13))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H1e9. % 65.73/65.93 apply zenon_H1e9. apply refl_equal. % 65.73/65.93 (* end of lemma zenon_L212_ *) % 65.73/65.93 assert (zenon_L213_ : (~((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H1ea zenon_H1eb. % 65.73/65.93 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 65.73/65.93 cut (((op1 (e13) (op1 (e13) (e13))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1ec]. % 65.73/65.93 congruence. % 65.73/65.93 apply zenon_H1ec. apply sym_equal. exact zenon_H1eb. % 65.73/65.93 apply zenon_H1e9. apply refl_equal. % 65.73/65.93 (* end of lemma zenon_L213_ *) % 65.73/65.93 assert (zenon_L214_ : (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e12) (e10)) = (e10)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H1ed zenon_H1ee zenon_H1ef zenon_H1eb. % 65.73/65.93 cut (((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e12) (e10)) = (op1 (e12) (e13)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H1ed. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H1ee. % 65.73/65.93 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1ea]. % 65.73/65.93 cut (((e10) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 65.73/65.93 congruence. % 65.73/65.93 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1f2 ]. % 65.73/65.93 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((e10) = (op1 (e12) (e10)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H1f0. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H1f1. % 65.73/65.93 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1f2]. % 65.73/65.93 cut (((op1 (e12) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1f3]. % 65.73/65.93 congruence. % 65.73/65.93 exact (zenon_H1f3 zenon_H1ef). % 65.73/65.93 apply zenon_H1f2. apply refl_equal. % 65.73/65.93 apply zenon_H1f2. apply refl_equal. % 65.73/65.93 apply (zenon_L213_); trivial. % 65.73/65.93 (* end of lemma zenon_L214_ *) % 65.73/65.93 assert (zenon_L215_ : (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e12) (e11)) = (e10)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H1f4 zenon_H1ee zenon_H1f5 zenon_H1eb. % 65.73/65.93 cut (((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e12) (e11)) = (op1 (e12) (e13)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H1f4. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H1ee. % 65.73/65.93 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1ea]. % 65.73/65.93 cut (((e10) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1f6]. % 65.73/65.93 congruence. % 65.73/65.93 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H1f8 ]. % 65.73/65.93 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e10) = (op1 (e12) (e11)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H1f6. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H1f7. % 65.73/65.93 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1f8]. % 65.73/65.93 cut (((op1 (e12) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1f9]. % 65.73/65.93 congruence. % 65.73/65.93 exact (zenon_H1f9 zenon_H1f5). % 65.73/65.93 apply zenon_H1f8. apply refl_equal. % 65.73/65.93 apply zenon_H1f8. apply refl_equal. % 65.73/65.93 apply (zenon_L213_); trivial. % 65.73/65.93 (* end of lemma zenon_L215_ *) % 65.73/65.93 assert (zenon_L216_ : (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e12) (e12)) = (e10)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H1fa zenon_H1ee zenon_H1fb zenon_H1eb. % 65.73/65.93 cut (((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e12) (e12)) = (op1 (e12) (e13)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H1fa. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H1ee. % 65.73/65.93 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1ea]. % 65.73/65.93 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1fc]. % 65.73/65.93 congruence. % 65.73/65.93 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fe ]. % 65.73/65.93 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((e10) = (op1 (e12) (e12)))). % 65.73/65.93 intro zenon_D_pnotp. % 65.73/65.93 apply zenon_H1fc. % 65.73/65.93 rewrite <- zenon_D_pnotp. % 65.73/65.93 exact zenon_H1fd. % 65.73/65.93 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1fe]. % 65.73/65.93 cut (((op1 (e12) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1ff]. % 65.73/65.93 congruence. % 65.73/65.93 exact (zenon_H1ff zenon_H1fb). % 65.73/65.93 apply zenon_H1fe. apply refl_equal. % 65.73/65.93 apply zenon_H1fe. apply refl_equal. % 65.73/65.93 apply (zenon_L213_); trivial. % 65.73/65.93 (* end of lemma zenon_L216_ *) % 65.73/65.93 assert (zenon_L217_ : (~((e10) = (e10))) -> False). % 65.73/65.93 do 0 intro. intros zenon_H200. % 65.73/65.93 apply zenon_H200. apply refl_equal. % 65.73/65.93 (* end of lemma zenon_L217_ *) % 65.73/65.93 assert (zenon_L218_ : (~((op1 (e10) (e10)) = (op1 (e10) (op1 (e10) (e11))))) -> ((op1 (e10) (e11)) = (e10)) -> False). % 65.73/65.93 do 0 intro. intros zenon_H201 zenon_H202. % 65.73/65.93 cut (((e10) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H203]. % 65.73/65.93 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H200]. % 65.73/65.93 congruence. % 65.73/65.93 apply zenon_H200. apply refl_equal. % 65.73/65.93 apply zenon_H203. apply sym_equal. exact zenon_H202. % 65.73/65.93 (* end of lemma zenon_L218_ *) % 65.73/65.93 assert (zenon_L219_ : (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (op1 (e10) (e11))) = (e10)) -> ((op1 (e10) (e11)) = (e10)) -> False). % 65.73/65.93 do 0 intro. intros zenon_H204 zenon_H205 zenon_H202. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e11))) = (e10)) = ((op1 (e10) (e10)) = (op1 (e10) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H204. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H205. % 65.73/65.94 cut (((e10) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H203]. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H207 | zenon_intro zenon_H208 ]. % 65.73/65.94 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (e10)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H206. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H207. % 65.73/65.94 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H208]. % 65.73/65.94 cut (((op1 (e10) (e10)) = (op1 (e10) (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 65.73/65.94 congruence. % 65.73/65.94 apply (zenon_L218_); trivial. % 65.73/65.94 apply zenon_H208. apply refl_equal. % 65.73/65.94 apply zenon_H208. apply refl_equal. % 65.73/65.94 apply zenon_H203. apply sym_equal. exact zenon_H202. % 65.73/65.94 (* end of lemma zenon_L219_ *) % 65.73/65.94 assert (zenon_L220_ : (~((op1 (e10) (e11)) = (op1 (e10) (op1 (e10) (e11))))) -> ((op1 (e10) (e11)) = (e11)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H209 zenon_H20a. % 65.73/65.94 cut (((e11) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20b]. % 65.73/65.94 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H200]. % 65.73/65.94 congruence. % 65.73/65.94 apply zenon_H200. apply refl_equal. % 65.73/65.94 apply zenon_H20b. apply sym_equal. exact zenon_H20a. % 65.73/65.94 (* end of lemma zenon_L220_ *) % 65.73/65.94 assert (zenon_L221_ : (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (op1 (e10) (e11))) = (e10)) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H20c zenon_H205 zenon_H20a zenon_H20d. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e11))) = (e10)) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H20c. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H205. % 65.73/65.94 cut (((e10) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20e]. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20f]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H210 | zenon_intro zenon_H211 ]. % 65.73/65.94 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H20f. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H210. % 65.73/65.94 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H211]. % 65.73/65.94 cut (((op1 (e10) (e11)) = (op1 (e10) (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 65.73/65.94 congruence. % 65.73/65.94 apply (zenon_L220_); trivial. % 65.73/65.94 apply zenon_H211. apply refl_equal. % 65.73/65.94 apply zenon_H211. apply refl_equal. % 65.73/65.94 apply zenon_H20e. apply sym_equal. exact zenon_H20d. % 65.73/65.94 (* end of lemma zenon_L221_ *) % 65.73/65.94 assert (zenon_L222_ : (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (op1 (e10) (e11))) = (e10)) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H212 zenon_H205 zenon_H20a zenon_H213. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e11))) = (e10)) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H212. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H205. % 65.73/65.94 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H214]. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20f]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H210 | zenon_intro zenon_H211 ]. % 65.73/65.94 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H20f. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H210. % 65.73/65.94 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H211]. % 65.73/65.94 cut (((op1 (e10) (e11)) = (op1 (e10) (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 65.73/65.94 congruence. % 65.73/65.94 apply (zenon_L220_); trivial. % 65.73/65.94 apply zenon_H211. apply refl_equal. % 65.73/65.94 apply zenon_H211. apply refl_equal. % 65.73/65.94 apply zenon_H214. apply sym_equal. exact zenon_H213. % 65.73/65.94 (* end of lemma zenon_L222_ *) % 65.73/65.94 assert (zenon_L223_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (op1 (e10) (e11))) = (e10)) -> ((op1 (e10) (e11)) = (e11)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H215 zenon_H204 zenon_H20c zenon_H1eb zenon_H1ee zenon_H1f4 zenon_H212 zenon_H205 zenon_H20a. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H202 | zenon_intro zenon_H216 ]. % 65.73/65.94 apply (zenon_L219_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H20d | zenon_intro zenon_H217 ]. % 65.73/65.94 apply (zenon_L221_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H213 ]. % 65.73/65.94 apply (zenon_L215_); trivial. % 65.73/65.94 apply (zenon_L222_); trivial. % 65.73/65.94 (* end of lemma zenon_L223_ *) % 65.73/65.94 assert (zenon_L224_ : (~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H218 zenon_H219. % 65.73/65.94 cut (((op1 (e13) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H21a]. % 65.73/65.94 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 65.73/65.94 congruence. % 65.73/65.94 apply zenon_H1e9. apply refl_equal. % 65.73/65.94 apply zenon_H21a. apply sym_equal. exact zenon_H219. % 65.73/65.94 (* end of lemma zenon_L224_ *) % 65.73/65.94 assert (zenon_L225_ : (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e10) (e11)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H212 zenon_H1eb zenon_H21b zenon_H219. % 65.73/65.94 cut (((e12) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H212. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H1eb. % 65.73/65.94 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H218]. % 65.73/65.94 cut (((e12) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H21c]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H210 | zenon_intro zenon_H211 ]. % 65.73/65.94 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e12) = (op1 (e10) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H21c. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H210. % 65.73/65.94 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H211]. % 65.73/65.94 cut (((op1 (e10) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21d]. % 65.73/65.94 congruence. % 65.73/65.94 exact (zenon_H21d zenon_H21b). % 65.73/65.94 apply zenon_H211. apply refl_equal. % 65.73/65.94 apply zenon_H211. apply refl_equal. % 65.73/65.94 apply (zenon_L224_); trivial. % 65.73/65.94 (* end of lemma zenon_L225_ *) % 65.73/65.94 assert (zenon_L226_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e11))) = (e10)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H21e zenon_H205 zenon_H21f zenon_H220. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e11))) = (e10)) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H21e. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H205. % 65.73/65.94 cut (((e10) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H221]. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H222]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H223 | zenon_intro zenon_H224 ]. % 65.73/65.94 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (e13)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H222. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H223. % 65.73/65.94 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H224]. % 65.73/65.94 cut (((op1 (e10) (e13)) = (op1 (e10) (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H225]. % 65.73/65.94 congruence. % 65.73/65.94 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H226]. % 65.73/65.94 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H200]. % 65.73/65.94 congruence. % 65.73/65.94 apply zenon_H200. apply refl_equal. % 65.73/65.94 apply zenon_H226. apply sym_equal. exact zenon_H21f. % 65.73/65.94 apply zenon_H224. apply refl_equal. % 65.73/65.94 apply zenon_H224. apply refl_equal. % 65.73/65.94 apply zenon_H221. apply sym_equal. exact zenon_H220. % 65.73/65.94 (* end of lemma zenon_L226_ *) % 65.73/65.94 assert (zenon_L227_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e11))) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H227 zenon_H1ed zenon_H1fa zenon_H228 zenon_H1f4 zenon_H1ee zenon_H20c zenon_H204 zenon_H215 zenon_H219 zenon_H1eb zenon_H212 zenon_H21e zenon_H205. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.94 apply (zenon_L214_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.94 apply (zenon_L215_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.94 apply (zenon_L216_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H202 | zenon_intro zenon_H22b ]. % 65.73/65.94 apply (zenon_L219_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20a | zenon_intro zenon_H22c ]. % 65.73/65.94 apply (zenon_L223_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H21b | zenon_intro zenon_H21f ]. % 65.73/65.94 apply (zenon_L225_); trivial. % 65.73/65.94 apply (zenon_L226_); trivial. % 65.73/65.94 (* end of lemma zenon_L227_ *) % 65.73/65.94 assert (zenon_L228_ : (((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H22d. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H22f. zenon_intro zenon_H22e. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H22f. zenon_intro zenon_H230. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.73/65.94 exact (zenon_H232 zenon_H22f). % 65.73/65.94 (* end of lemma zenon_L228_ *) % 65.73/65.94 assert (zenon_L229_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11)))))))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H233 zenon_H219. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H202. zenon_intro zenon_H234. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H236. zenon_intro zenon_H235. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H238. zenon_intro zenon_H237. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H23a. zenon_intro zenon_H239. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H23b. zenon_intro zenon_H21a. % 65.73/65.94 apply zenon_H21a. apply sym_equal. exact zenon_H219. % 65.73/65.94 (* end of lemma zenon_L229_ *) % 65.73/65.94 assert (zenon_L230_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H23c zenon_H1ed zenon_H1ee zenon_H1eb. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H23c). zenon_intro zenon_H23e. zenon_intro zenon_H23d. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H1ef. zenon_intro zenon_H23f. % 65.73/65.94 apply (zenon_L214_); trivial. % 65.73/65.94 (* end of lemma zenon_L230_ *) % 65.73/65.94 assert (zenon_L231_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e10) (e13)) = (e10)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H21e zenon_H1ee zenon_H240 zenon_H1eb. % 65.73/65.94 cut (((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H21e. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H1ee. % 65.73/65.94 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1ea]. % 65.73/65.94 cut (((e10) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H241]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H223 | zenon_intro zenon_H224 ]. % 65.73/65.94 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e10) = (op1 (e10) (e13)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H241. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H223. % 65.73/65.94 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H224]. % 65.73/65.94 cut (((op1 (e10) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H242]. % 65.73/65.94 congruence. % 65.73/65.94 exact (zenon_H242 zenon_H240). % 65.73/65.94 apply zenon_H224. apply refl_equal. % 65.73/65.94 apply zenon_H224. apply refl_equal. % 65.73/65.94 apply (zenon_L213_); trivial. % 65.73/65.94 (* end of lemma zenon_L231_ *) % 65.73/65.94 assert (zenon_L232_ : (((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13)))))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H243 zenon_H21e zenon_H1ee zenon_H1eb. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H240. zenon_intro zenon_H244. % 65.73/65.94 apply (zenon_L231_); trivial. % 65.73/65.94 (* end of lemma zenon_L232_ *) % 65.73/65.94 assert (zenon_L233_ : (~((e11) = (e11))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H245. % 65.73/65.94 apply zenon_H245. apply refl_equal. % 65.73/65.94 (* end of lemma zenon_L233_ *) % 65.73/65.94 assert (zenon_L234_ : (~((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e11))))) -> ((op1 (e11) (e11)) = (e11)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H246 zenon_H247. % 65.73/65.94 cut (((e11) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H248]. % 65.73/65.94 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 65.73/65.94 congruence. % 65.73/65.94 apply zenon_H245. apply refl_equal. % 65.73/65.94 apply zenon_H248. apply sym_equal. exact zenon_H247. % 65.73/65.94 (* end of lemma zenon_L234_ *) % 65.73/65.94 assert (zenon_L235_ : ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H249 zenon_H247 zenon_H20a zenon_H20c. % 65.73/65.94 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ]. % 65.73/65.94 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H20c. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H24a. % 65.73/65.94 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H24b]. % 65.73/65.94 cut (((op1 (e11) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H24c]. % 65.73/65.94 congruence. % 65.73/65.94 cut (((op1 (e11) (op1 (e11) (e11))) = (e11)) = ((op1 (e11) (e11)) = (op1 (e10) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H24c. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H249. % 65.73/65.94 cut (((e11) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20b]. % 65.73/65.94 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H24d]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ]. % 65.73/65.94 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H24d. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H24a. % 65.73/65.94 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H24b]. % 65.73/65.94 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H246]. % 65.73/65.94 congruence. % 65.73/65.94 apply (zenon_L234_); trivial. % 65.73/65.94 apply zenon_H24b. apply refl_equal. % 65.73/65.94 apply zenon_H24b. apply refl_equal. % 65.73/65.94 apply zenon_H20b. apply sym_equal. exact zenon_H20a. % 65.73/65.94 apply zenon_H24b. apply refl_equal. % 65.73/65.94 apply zenon_H24b. apply refl_equal. % 65.73/65.94 (* end of lemma zenon_L235_ *) % 65.73/65.94 assert (zenon_L236_ : (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e11)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H24e zenon_H1eb zenon_H24f zenon_H219. % 65.73/65.94 cut (((e12) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e11) (e11)) = (op1 (e13) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H24e. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H1eb. % 65.73/65.94 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H218]. % 65.73/65.94 cut (((e12) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H250]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ]. % 65.73/65.94 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((e12) = (op1 (e11) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H250. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H24a. % 65.73/65.94 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H24b]. % 65.73/65.94 cut (((op1 (e11) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H251]. % 65.73/65.94 congruence. % 65.73/65.94 exact (zenon_H251 zenon_H24f). % 65.73/65.94 apply zenon_H24b. apply refl_equal. % 65.73/65.94 apply zenon_H24b. apply refl_equal. % 65.73/65.94 apply (zenon_L224_); trivial. % 65.73/65.94 (* end of lemma zenon_L236_ *) % 65.73/65.94 assert (zenon_L237_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((op1 (e11) (e11)) = (e13)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H252 zenon_H249 zenon_H253 zenon_H219. % 65.73/65.94 cut (((op1 (e11) (op1 (e11) (e11))) = (e11)) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H252. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H249. % 65.73/65.94 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H254]. % 65.73/65.94 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H255]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H256 | zenon_intro zenon_H257 ]. % 65.73/65.94 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e13)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H255. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H256. % 65.73/65.94 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H257]. % 65.73/65.94 cut (((op1 (e11) (e13)) = (op1 (e11) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H258]. % 65.73/65.94 congruence. % 65.73/65.94 cut (((e13) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H259]. % 65.73/65.94 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 65.73/65.94 congruence. % 65.73/65.94 apply zenon_H245. apply refl_equal. % 65.73/65.94 apply zenon_H259. apply sym_equal. exact zenon_H253. % 65.73/65.94 apply zenon_H257. apply refl_equal. % 65.73/65.94 apply zenon_H257. apply refl_equal. % 65.73/65.94 exact (zenon_H254 zenon_H219). % 65.73/65.94 (* end of lemma zenon_L237_ *) % 65.73/65.94 assert (zenon_L238_ : (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H25a zenon_H25b zenon_H20c zenon_H20a zenon_H1eb zenon_H24e zenon_H252 zenon_H249 zenon_H219. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H20d | zenon_intro zenon_H25c ]. % 65.73/65.94 exact (zenon_H25b zenon_H20d). % 65.73/65.94 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H247 | zenon_intro zenon_H25d ]. % 65.73/65.94 apply (zenon_L235_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H24f | zenon_intro zenon_H253 ]. % 65.73/65.94 apply (zenon_L236_); trivial. % 65.73/65.94 apply (zenon_L237_); trivial. % 65.73/65.94 (* end of lemma zenon_L238_ *) % 65.73/65.94 assert (zenon_L239_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H25e zenon_H25a zenon_H20c zenon_H1eb zenon_H24e zenon_H252 zenon_H249 zenon_H219. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H260. zenon_intro zenon_H25f. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H20a. zenon_intro zenon_H230. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.73/65.94 apply (zenon_L238_); trivial. % 65.73/65.94 (* end of lemma zenon_L239_ *) % 65.73/65.94 assert (zenon_L240_ : (((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11)))))))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H262. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H247. zenon_intro zenon_H263. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H247. zenon_intro zenon_H235. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H238. zenon_intro zenon_H237. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H23a. zenon_intro zenon_H239. % 65.73/65.94 exact (zenon_H23a zenon_H247). % 65.73/65.94 (* end of lemma zenon_L240_ *) % 65.73/65.94 assert (zenon_L241_ : (~((op1 (e11) (e10)) = (op1 (e11) (op1 (e11) (e11))))) -> ((op1 (e11) (e11)) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H264 zenon_H20d. % 65.73/65.94 cut (((e10) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20e]. % 65.73/65.94 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 65.73/65.94 congruence. % 65.73/65.94 apply zenon_H245. apply refl_equal. % 65.73/65.94 apply zenon_H20e. apply sym_equal. exact zenon_H20d. % 65.73/65.94 (* end of lemma zenon_L241_ *) % 65.73/65.94 assert (zenon_L242_ : (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e11)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H265 zenon_H249 zenon_H20d zenon_H266. % 65.73/65.94 cut (((op1 (e11) (op1 (e11) (e11))) = (e11)) = ((op1 (e11) (e10)) = (op1 (e11) (e12)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H265. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H249. % 65.73/65.94 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H267]. % 65.73/65.94 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H268]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ]. % 65.73/65.94 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e10)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H268. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H269. % 65.73/65.94 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H26a]. % 65.73/65.94 cut (((op1 (e11) (e10)) = (op1 (e11) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H264]. % 65.73/65.94 congruence. % 65.73/65.94 apply (zenon_L241_); trivial. % 65.73/65.94 apply zenon_H26a. apply refl_equal. % 65.73/65.94 apply zenon_H26a. apply refl_equal. % 65.73/65.94 apply zenon_H267. apply sym_equal. exact zenon_H266. % 65.73/65.94 (* end of lemma zenon_L242_ *) % 65.73/65.94 assert (zenon_L243_ : (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e11) (e12)) = (e11)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H26b zenon_H249 zenon_H247 zenon_H266. % 65.73/65.94 cut (((op1 (e11) (op1 (e11) (e11))) = (e11)) = ((op1 (e11) (e11)) = (op1 (e11) (e12)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H26b. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H249. % 65.73/65.94 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H267]. % 65.73/65.94 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H24d]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ]. % 65.73/65.94 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H24d. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H24a. % 65.73/65.94 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H24b]. % 65.73/65.94 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H246]. % 65.73/65.94 congruence. % 65.73/65.94 apply (zenon_L234_); trivial. % 65.73/65.94 apply zenon_H24b. apply refl_equal. % 65.73/65.94 apply zenon_H24b. apply refl_equal. % 65.73/65.94 apply zenon_H267. apply sym_equal. exact zenon_H266. % 65.73/65.94 (* end of lemma zenon_L243_ *) % 65.73/65.94 assert (zenon_L244_ : (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H25a zenon_H265 zenon_H266 zenon_H26b zenon_H251 zenon_H252 zenon_H249 zenon_H219. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H20d | zenon_intro zenon_H25c ]. % 65.73/65.94 apply (zenon_L242_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H247 | zenon_intro zenon_H25d ]. % 65.73/65.94 apply (zenon_L243_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H24f | zenon_intro zenon_H253 ]. % 65.73/65.94 exact (zenon_H251 zenon_H24f). % 65.73/65.94 apply (zenon_L237_); trivial. % 65.73/65.94 (* end of lemma zenon_L244_ *) % 65.73/65.94 assert (zenon_L245_ : (((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H26c zenon_H25a zenon_H265 zenon_H26b zenon_H252 zenon_H249 zenon_H219. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H266. zenon_intro zenon_H26d. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H26e. zenon_intro zenon_H23f. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.73/65.94 apply (zenon_L244_); trivial. % 65.73/65.94 (* end of lemma zenon_L245_ *) % 65.73/65.94 assert (zenon_L246_ : (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e13) (e11)) = (e11)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H272 zenon_H219 zenon_H273. % 65.73/65.94 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e13) (e11)) = (op1 (e13) (e13)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H272. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H219. % 65.73/65.94 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.73/65.94 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H275]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H276 | zenon_intro zenon_H277 ]. % 65.73/65.94 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e11) = (op1 (e13) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H275. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H276. % 65.73/65.94 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H277]. % 65.73/65.94 cut (((op1 (e13) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H278]. % 65.73/65.94 congruence. % 65.73/65.94 exact (zenon_H278 zenon_H273). % 65.73/65.94 apply zenon_H277. apply refl_equal. % 65.73/65.94 apply zenon_H277. apply refl_equal. % 65.73/65.94 apply zenon_H274. apply refl_equal. % 65.73/65.94 (* end of lemma zenon_L246_ *) % 65.73/65.94 assert (zenon_L247_ : (((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13)))))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H279 zenon_H272 zenon_H219. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H27b. zenon_intro zenon_H27a. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H273. zenon_intro zenon_H27c. % 65.73/65.94 apply (zenon_L246_); trivial. % 65.73/65.94 (* end of lemma zenon_L247_ *) % 65.73/65.94 assert (zenon_L248_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e10) (e13)) = (e11)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H27d zenon_H219 zenon_H27e. % 65.73/65.94 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H27d. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H219. % 65.73/65.94 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.73/65.94 cut (((e11) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27f]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H223 | zenon_intro zenon_H224 ]. % 65.73/65.94 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e11) = (op1 (e10) (e13)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H27f. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H223. % 65.73/65.94 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H224]. % 65.73/65.94 cut (((op1 (e10) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H280]. % 65.73/65.94 congruence. % 65.73/65.94 exact (zenon_H280 zenon_H27e). % 65.73/65.94 apply zenon_H224. apply refl_equal. % 65.73/65.94 apply zenon_H224. apply refl_equal. % 65.73/65.94 apply zenon_H274. apply refl_equal. % 65.73/65.94 (* end of lemma zenon_L248_ *) % 65.73/65.94 assert (zenon_L249_ : (~((op1 (e10) (e11)) = (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (e10) (e10)) = (e11)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H281 zenon_H282. % 65.73/65.94 cut (((e11) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H283]. % 65.73/65.94 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H200]. % 65.73/65.94 congruence. % 65.73/65.94 apply zenon_H200. apply refl_equal. % 65.73/65.94 apply zenon_H283. apply sym_equal. exact zenon_H282. % 65.73/65.94 (* end of lemma zenon_L249_ *) % 65.73/65.94 assert (zenon_L250_ : (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e10) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H284 zenon_H285 zenon_H282 zenon_H23e. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e10))) = (e10)) = ((op1 (e10) (e11)) = (op1 (e10) (e12)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H284. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H285. % 65.73/65.94 cut (((e10) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H286]. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H287]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H210 | zenon_intro zenon_H211 ]. % 65.73/65.94 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H287. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H210. % 65.73/65.94 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H211]. % 65.73/65.94 cut (((op1 (e10) (e11)) = (op1 (e10) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H281]. % 65.73/65.94 congruence. % 65.73/65.94 apply (zenon_L249_); trivial. % 65.73/65.94 apply zenon_H211. apply refl_equal. % 65.73/65.94 apply zenon_H211. apply refl_equal. % 65.73/65.94 apply zenon_H286. apply sym_equal. exact zenon_H23e. % 65.73/65.94 (* end of lemma zenon_L250_ *) % 65.73/65.94 assert (zenon_L251_ : (~((op1 (e10) (e12)) = (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (e10) (e10)) = (e12)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H288 zenon_H289. % 65.73/65.94 cut (((e12) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H28a]. % 65.73/65.94 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H200]. % 65.73/65.94 congruence. % 65.73/65.94 apply zenon_H200. apply refl_equal. % 65.73/65.94 apply zenon_H28a. apply sym_equal. exact zenon_H289. % 65.73/65.94 (* end of lemma zenon_L251_ *) % 65.73/65.94 assert (zenon_L252_ : ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e10) (e10)) = (e12)) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H285 zenon_H289 zenon_H202 zenon_H284. % 65.73/65.94 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H28b | zenon_intro zenon_H28c ]. % 65.73/65.94 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (e11)) = (op1 (e10) (e12)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H284. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H28b. % 65.73/65.94 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H28c]. % 65.73/65.94 cut (((op1 (e10) (e12)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28d]. % 65.73/65.94 congruence. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e10))) = (e10)) = ((op1 (e10) (e12)) = (op1 (e10) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H28d. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H285. % 65.73/65.94 cut (((e10) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H203]. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H28e]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H28b | zenon_intro zenon_H28c ]. % 65.73/65.94 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e12)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H28e. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H28b. % 65.73/65.94 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H28c]. % 65.73/65.94 cut (((op1 (e10) (e12)) = (op1 (e10) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H288]. % 65.73/65.94 congruence. % 65.73/65.94 apply (zenon_L251_); trivial. % 65.73/65.94 apply zenon_H28c. apply refl_equal. % 65.73/65.94 apply zenon_H28c. apply refl_equal. % 65.73/65.94 apply zenon_H203. apply sym_equal. exact zenon_H202. % 65.73/65.94 apply zenon_H28c. apply refl_equal. % 65.73/65.94 apply zenon_H28c. apply refl_equal. % 65.73/65.94 (* end of lemma zenon_L252_ *) % 65.73/65.94 assert (zenon_L253_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e10) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H21e zenon_H285 zenon_H28f zenon_H220. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e10))) = (e10)) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H21e. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H285. % 65.73/65.94 cut (((e10) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H221]. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H290]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H223 | zenon_intro zenon_H224 ]. % 65.73/65.94 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e13)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H290. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H223. % 65.73/65.94 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H224]. % 65.73/65.94 cut (((op1 (e10) (e13)) = (op1 (e10) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H291]. % 65.73/65.94 congruence. % 65.73/65.94 cut (((e13) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H292]. % 65.73/65.94 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H200]. % 65.73/65.94 congruence. % 65.73/65.94 apply zenon_H200. apply refl_equal. % 65.73/65.94 apply zenon_H292. apply sym_equal. exact zenon_H28f. % 65.73/65.94 apply zenon_H224. apply refl_equal. % 65.73/65.94 apply zenon_H224. apply refl_equal. % 65.73/65.94 apply zenon_H221. apply sym_equal. exact zenon_H220. % 65.73/65.94 (* end of lemma zenon_L253_ *) % 65.73/65.94 assert (zenon_L254_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e12) (e13)) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H293 zenon_H232 zenon_H23e zenon_H284 zenon_H202 zenon_H21e zenon_H285 zenon_H220. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H22f | zenon_intro zenon_H294 ]. % 65.73/65.94 exact (zenon_H232 zenon_H22f). % 65.73/65.94 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H282 | zenon_intro zenon_H295 ]. % 65.73/65.94 apply (zenon_L250_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H289 | zenon_intro zenon_H28f ]. % 65.73/65.94 apply (zenon_L252_); trivial. % 65.73/65.94 apply (zenon_L253_); trivial. % 65.73/65.94 (* end of lemma zenon_L254_ *) % 65.73/65.94 assert (zenon_L255_ : (~((op1 (e10) (e12)) = (op1 (e10) (op1 (e10) (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H296 zenon_H297. % 65.73/65.94 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H298]. % 65.73/65.94 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H200]. % 65.73/65.94 congruence. % 65.73/65.94 apply zenon_H200. apply refl_equal. % 65.73/65.94 apply zenon_H298. apply sym_equal. exact zenon_H297. % 65.73/65.94 (* end of lemma zenon_L255_ *) % 65.73/65.94 assert (zenon_L256_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e11) (e12)) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H299 zenon_H29a zenon_H297 zenon_H29b. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e13))) = (e10)) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H299. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H29a. % 65.73/65.94 cut (((e10) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H29c]. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e13))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H29d]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H28b | zenon_intro zenon_H28c ]. % 65.73/65.94 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (op1 (e10) (e13))) = (op1 (e10) (e12)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H29d. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H28b. % 65.73/65.94 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H28c]. % 65.73/65.94 cut (((op1 (e10) (e12)) = (op1 (e10) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H296]. % 65.73/65.94 congruence. % 65.73/65.94 apply (zenon_L255_); trivial. % 65.73/65.94 apply zenon_H28c. apply refl_equal. % 65.73/65.94 apply zenon_H28c. apply refl_equal. % 65.73/65.94 apply zenon_H29c. apply sym_equal. exact zenon_H29b. % 65.73/65.94 (* end of lemma zenon_L256_ *) % 65.73/65.94 assert (zenon_L257_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H29e zenon_H29a zenon_H297 zenon_H29f. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e13))) = (e10)) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H29e. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H29a. % 65.73/65.94 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2a0]. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e13))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H29d]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H28b | zenon_intro zenon_H28c ]. % 65.73/65.94 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (op1 (e10) (e13))) = (op1 (e10) (e12)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H29d. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H28b. % 65.73/65.94 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H28c]. % 65.73/65.94 cut (((op1 (e10) (e12)) = (op1 (e10) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H296]. % 65.73/65.94 congruence. % 65.73/65.94 apply (zenon_L255_); trivial. % 65.73/65.94 apply zenon_H28c. apply refl_equal. % 65.73/65.94 apply zenon_H28c. apply refl_equal. % 65.73/65.94 apply zenon_H2a0. apply sym_equal. exact zenon_H29f. % 65.73/65.94 (* end of lemma zenon_L257_ *) % 65.73/65.94 assert (zenon_L258_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> ((op1 (e10) (e13)) = (e12)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H2a1 zenon_H220 zenon_H285 zenon_H21e zenon_H202 zenon_H284 zenon_H232 zenon_H293 zenon_H299 zenon_H1ff zenon_H29e zenon_H29a zenon_H297. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H23e | zenon_intro zenon_H2a2 ]. % 65.73/65.94 apply (zenon_L254_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a3 ]. % 65.73/65.94 apply (zenon_L256_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H1fb | zenon_intro zenon_H29f ]. % 65.73/65.94 exact (zenon_H1ff zenon_H1fb). % 65.73/65.94 apply (zenon_L257_); trivial. % 65.73/65.94 (* end of lemma zenon_L258_ *) % 65.73/65.94 assert (zenon_L259_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H21e zenon_H29a zenon_H2a4 zenon_H220. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e13))) = (e10)) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H21e. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H29a. % 65.73/65.94 cut (((e10) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H221]. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e13))) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2a5]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H223 | zenon_intro zenon_H224 ]. % 65.73/65.94 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (op1 (e10) (e13))) = (op1 (e10) (e13)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H2a5. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H223. % 65.73/65.94 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H224]. % 65.73/65.94 cut (((op1 (e10) (e13)) = (op1 (e10) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2a6]. % 65.73/65.94 congruence. % 65.73/65.94 cut (((e13) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2a7]. % 65.73/65.94 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H200]. % 65.73/65.94 congruence. % 65.73/65.94 apply zenon_H200. apply refl_equal. % 65.73/65.94 apply zenon_H2a7. apply sym_equal. exact zenon_H2a4. % 65.73/65.94 apply zenon_H224. apply refl_equal. % 65.73/65.94 apply zenon_H224. apply refl_equal. % 65.73/65.94 apply zenon_H221. apply sym_equal. exact zenon_H220. % 65.73/65.94 (* end of lemma zenon_L259_ *) % 65.73/65.94 assert (zenon_L260_ : ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e12)) -> (~((e11) = (e12))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H2a8 zenon_H2a9 zenon_H2aa. % 65.73/65.94 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2ac ]. % 65.73/65.94 cut (((e12) = (e12)) = ((e11) = (e12))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H2aa. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H2ab. % 65.73/65.94 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2ac]. % 65.73/65.94 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H2ad]. % 65.73/65.94 congruence. % 65.73/65.94 cut (((op1 (e10) (e12)) = (e11)) = ((e12) = (e11))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H2ad. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H2a8. % 65.73/65.94 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 65.73/65.94 cut (((op1 (e10) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2ae]. % 65.73/65.94 congruence. % 65.73/65.94 exact (zenon_H2ae zenon_H2a9). % 65.73/65.94 apply zenon_H245. apply refl_equal. % 65.73/65.94 apply zenon_H2ac. apply refl_equal. % 65.73/65.94 apply zenon_H2ac. apply refl_equal. % 65.73/65.94 (* end of lemma zenon_L260_ *) % 65.73/65.94 assert (zenon_L261_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H2af zenon_H23e zenon_H285 zenon_H284 zenon_H249 zenon_H252 zenon_H24e zenon_H1eb zenon_H20c zenon_H25b zenon_H25a zenon_H2aa zenon_H2a9 zenon_H27d zenon_H219. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H282 | zenon_intro zenon_H2b0 ]. % 65.73/65.94 apply (zenon_L250_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H20a | zenon_intro zenon_H2b1 ]. % 65.73/65.94 apply (zenon_L238_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H27e ]. % 65.73/65.94 apply (zenon_L260_); trivial. % 65.73/65.94 apply (zenon_L248_); trivial. % 65.73/65.94 (* end of lemma zenon_L261_ *) % 65.73/65.94 assert (zenon_L262_ : (((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H2b2 zenon_H2b3 zenon_H29a zenon_H2a1 zenon_H293 zenon_H299 zenon_H29e zenon_H2b4 zenon_H1f4 zenon_H1ed zenon_H227 zenon_H219 zenon_H27d zenon_H2aa zenon_H25a zenon_H20c zenon_H24e zenon_H252 zenon_H249 zenon_H284 zenon_H285 zenon_H2af zenon_H21e zenon_H1ee zenon_H1eb. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.73/65.94 exact (zenon_H232 zenon_H22f). % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.94 apply (zenon_L214_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.94 apply (zenon_L215_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.94 exact (zenon_H1ff zenon_H1fb). % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H240 | zenon_intro zenon_H2ba ]. % 65.73/65.94 apply (zenon_L231_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H27e | zenon_intro zenon_H2bb ]. % 65.73/65.94 apply (zenon_L248_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H297 | zenon_intro zenon_H2a4 ]. % 65.73/65.94 apply (zenon_L258_); trivial. % 65.73/65.94 apply (zenon_L259_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.73/65.94 apply (zenon_L261_); trivial. % 65.73/65.94 apply (zenon_L231_); trivial. % 65.73/65.94 (* end of lemma zenon_L262_ *) % 65.73/65.94 assert (zenon_L263_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11)))))))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H2bc zenon_H219. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2be. zenon_intro zenon_H2bd. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2bf. zenon_intro zenon_H235. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H238. zenon_intro zenon_H237. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H23a. zenon_intro zenon_H239. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H23b. zenon_intro zenon_H21a. % 65.73/65.94 apply zenon_H21a. apply sym_equal. exact zenon_H219. % 65.73/65.94 (* end of lemma zenon_L263_ *) % 65.73/65.94 assert (zenon_L264_ : (((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H2c0. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c2. zenon_intro zenon_H23f. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 65.73/65.94 exact (zenon_H2c4 zenon_H2c2). % 65.73/65.94 (* end of lemma zenon_L264_ *) % 65.73/65.94 assert (zenon_L265_ : ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H1eb zenon_H2c5 zenon_H219 zenon_H2c6. % 65.73/65.94 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H2c8 ]. % 65.73/65.94 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H2c6. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H2c7. % 65.73/65.94 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2c8]. % 65.73/65.94 cut (((op1 (e13) (e12)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2c9]. % 65.73/65.94 congruence. % 65.73/65.94 cut (((e12) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e13) (e12)) = (op1 (e13) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H2c9. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H1eb. % 65.73/65.94 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H218]. % 65.73/65.94 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2ca]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H2c8 ]. % 65.73/65.94 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e12) = (op1 (e13) (e12)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H2ca. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H2c7. % 65.73/65.94 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2c8]. % 65.73/65.94 cut (((op1 (e13) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2cb]. % 65.73/65.94 congruence. % 65.73/65.94 exact (zenon_H2cb zenon_H2c5). % 65.73/65.94 apply zenon_H2c8. apply refl_equal. % 65.73/65.94 apply zenon_H2c8. apply refl_equal. % 65.73/65.94 apply (zenon_L224_); trivial. % 65.73/65.94 apply zenon_H2c8. apply refl_equal. % 65.73/65.94 apply zenon_H2c8. apply refl_equal. % 65.73/65.94 (* end of lemma zenon_L265_ *) % 65.73/65.94 assert (zenon_L266_ : (((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13)))))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H2cc zenon_H1eb zenon_H219 zenon_H2c6. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H2ce. zenon_intro zenon_H2cd. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H2c5. zenon_intro zenon_H27c. % 65.73/65.94 apply (zenon_L265_); trivial. % 65.73/65.94 (* end of lemma zenon_L266_ *) % 65.73/65.94 assert (zenon_L267_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> ((op1 (e10) (e13)) = (e13)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H21e zenon_H29a zenon_H2a4. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.94 apply (zenon_L214_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.94 apply (zenon_L215_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.94 apply (zenon_L216_); trivial. % 65.73/65.94 apply (zenon_L259_); trivial. % 65.73/65.94 (* end of lemma zenon_L267_ *) % 65.73/65.94 assert (zenon_L268_ : (((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H2cf zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H21e zenon_H29a. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.73/65.94 apply (zenon_L267_); trivial. % 65.73/65.94 (* end of lemma zenon_L268_ *) % 65.73/65.94 assert (zenon_L269_ : (((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11)))))))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H2d2 zenon_H219. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H2d4. zenon_intro zenon_H2d3. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H2d5. zenon_intro zenon_H235. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H238. zenon_intro zenon_H237. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H23a. zenon_intro zenon_H239. % 65.73/65.94 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H23b. zenon_intro zenon_H21a. % 65.73/65.94 apply zenon_H21a. apply sym_equal. exact zenon_H219. % 65.73/65.94 (* end of lemma zenon_L269_ *) % 65.73/65.94 assert (zenon_L270_ : (~((op1 (e10) (e10)) = (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (e10) (e10)) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H2d6 zenon_H22f. % 65.73/65.94 cut (((e10) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2d7]. % 65.73/65.94 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H200]. % 65.73/65.94 congruence. % 65.73/65.94 apply zenon_H200. apply refl_equal. % 65.73/65.94 apply zenon_H2d7. apply sym_equal. exact zenon_H22f. % 65.73/65.94 (* end of lemma zenon_L270_ *) % 65.73/65.94 assert (zenon_L271_ : (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H2d8 zenon_H285 zenon_H22f zenon_H23e. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e10))) = (e10)) = ((op1 (e10) (e10)) = (op1 (e10) (e12)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H2d8. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H285. % 65.73/65.94 cut (((e10) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H286]. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2d9]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H207 | zenon_intro zenon_H208 ]. % 65.73/65.94 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H2d9. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H207. % 65.73/65.94 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H208]. % 65.73/65.94 cut (((op1 (e10) (e10)) = (op1 (e10) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2d6]. % 65.73/65.94 congruence. % 65.73/65.94 apply (zenon_L270_); trivial. % 65.73/65.94 apply zenon_H208. apply refl_equal. % 65.73/65.94 apply zenon_H208. apply refl_equal. % 65.73/65.94 apply zenon_H286. apply sym_equal. exact zenon_H23e. % 65.73/65.94 (* end of lemma zenon_L271_ *) % 65.73/65.94 assert (zenon_L272_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> ((op1 (e12) (e13)) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H2b4 zenon_H1eb zenon_H1ee zenon_H219 zenon_H27d zenon_H29f zenon_H29e zenon_H21e zenon_H29a zenon_H220. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H240 | zenon_intro zenon_H2ba ]. % 65.73/65.94 apply (zenon_L231_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H27e | zenon_intro zenon_H2bb ]. % 65.73/65.94 apply (zenon_L248_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H297 | zenon_intro zenon_H2a4 ]. % 65.73/65.94 apply (zenon_L257_); trivial. % 65.73/65.94 apply (zenon_L259_); trivial. % 65.73/65.94 (* end of lemma zenon_L272_ *) % 65.73/65.94 assert (zenon_L273_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> ((op1 (e12) (e13)) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H2a1 zenon_H22f zenon_H285 zenon_H2d8 zenon_H297 zenon_H299 zenon_H1fa zenon_H2b4 zenon_H1eb zenon_H1ee zenon_H219 zenon_H27d zenon_H29e zenon_H21e zenon_H29a zenon_H220. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H23e | zenon_intro zenon_H2a2 ]. % 65.73/65.94 apply (zenon_L271_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a3 ]. % 65.73/65.94 apply (zenon_L256_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H1fb | zenon_intro zenon_H29f ]. % 65.73/65.94 apply (zenon_L216_); trivial. % 65.73/65.94 apply (zenon_L272_); trivial. % 65.73/65.94 (* end of lemma zenon_L273_ *) % 65.73/65.94 assert (zenon_L274_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H227 zenon_H1ed zenon_H1f4 zenon_H29e zenon_H27d zenon_H219 zenon_H1ee zenon_H1eb zenon_H2b4 zenon_H1fa zenon_H299 zenon_H2d8 zenon_H285 zenon_H22f zenon_H2a1 zenon_H21e zenon_H29a. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.94 apply (zenon_L214_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.94 apply (zenon_L215_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.94 apply (zenon_L216_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H240 | zenon_intro zenon_H2ba ]. % 65.73/65.94 apply (zenon_L231_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H27e | zenon_intro zenon_H2bb ]. % 65.73/65.94 apply (zenon_L248_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H297 | zenon_intro zenon_H2a4 ]. % 65.73/65.94 apply (zenon_L273_); trivial. % 65.73/65.94 apply (zenon_L259_); trivial. % 65.73/65.94 (* end of lemma zenon_L274_ *) % 65.73/65.94 assert (zenon_L275_ : (~((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e11) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H2da zenon_H220 zenon_H1eb zenon_H236. % 65.73/65.94 cut (((op1 (e12) (e13)) = (e10)) = ((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e11) (e10)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H2da. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H220. % 65.73/65.94 cut (((e10) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2db]. % 65.73/65.94 cut (((op1 (e12) (e13)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2dc]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13)))); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2de ]. % 65.73/65.94 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e12) (e13)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H2dc. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H2dd. % 65.73/65.94 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2de]. % 65.73/65.94 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1ea]. % 65.73/65.94 congruence. % 65.73/65.94 apply (zenon_L213_); trivial. % 65.73/65.94 apply zenon_H2de. apply refl_equal. % 65.73/65.94 apply zenon_H2de. apply refl_equal. % 65.73/65.94 apply zenon_H2db. apply sym_equal. exact zenon_H236. % 65.73/65.94 (* end of lemma zenon_L275_ *) % 65.73/65.94 assert (zenon_L276_ : (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e10)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H2df zenon_H1ee zenon_H22f zenon_H220 zenon_H236 zenon_H1eb. % 65.73/65.94 cut (((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e10) (e10)) = (op1 (e11) (e10)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H2df. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H1ee. % 65.73/65.94 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2da]. % 65.73/65.94 cut (((e10) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2d7]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H207 | zenon_intro zenon_H208 ]. % 65.73/65.94 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((e10) = (op1 (e10) (e10)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H2d7. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H207. % 65.73/65.94 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H208]. % 65.73/65.94 cut (((op1 (e10) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H232]. % 65.73/65.94 congruence. % 65.73/65.94 exact (zenon_H232 zenon_H22f). % 65.73/65.94 apply zenon_H208. apply refl_equal. % 65.73/65.94 apply zenon_H208. apply refl_equal. % 65.73/65.94 apply (zenon_L275_); trivial. % 65.73/65.94 (* end of lemma zenon_L276_ *) % 65.73/65.94 assert (zenon_L277_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e12) (e13)) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H293 zenon_H1eb zenon_H236 zenon_H1ee zenon_H2df zenon_H23e zenon_H284 zenon_H270 zenon_H21e zenon_H285 zenon_H220. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H22f | zenon_intro zenon_H294 ]. % 65.73/65.94 apply (zenon_L276_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H282 | zenon_intro zenon_H295 ]. % 65.73/65.94 apply (zenon_L250_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H289 | zenon_intro zenon_H28f ]. % 65.73/65.94 exact (zenon_H270 zenon_H289). % 65.73/65.94 apply (zenon_L253_); trivial. % 65.73/65.94 (* end of lemma zenon_L277_ *) % 65.73/65.94 assert (zenon_L278_ : (~((op1 (e10) (e12)) = (op1 (e10) (op1 (e10) (e12))))) -> ((op1 (e10) (e12)) = (e12)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H2e0 zenon_H2a9. % 65.73/65.94 cut (((e12) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2e1]. % 65.73/65.94 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H200]. % 65.73/65.94 congruence. % 65.73/65.94 apply zenon_H200. apply refl_equal. % 65.73/65.94 apply zenon_H2e1. apply sym_equal. exact zenon_H2a9. % 65.73/65.94 (* end of lemma zenon_L278_ *) % 65.73/65.94 assert (zenon_L279_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e11) (e12)) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H299 zenon_H2e2 zenon_H2a9 zenon_H29b. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e12))) = (e10)) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H299. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H2e2. % 65.73/65.94 cut (((e10) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H29c]. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e12))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2e3]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H28b | zenon_intro zenon_H28c ]. % 65.73/65.94 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (op1 (e10) (e12))) = (op1 (e10) (e12)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H2e3. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H28b. % 65.73/65.94 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H28c]. % 65.73/65.94 cut (((op1 (e10) (e12)) = (op1 (e10) (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2e0]. % 65.73/65.94 congruence. % 65.73/65.94 apply (zenon_L278_); trivial. % 65.73/65.94 apply zenon_H28c. apply refl_equal. % 65.73/65.94 apply zenon_H28c. apply refl_equal. % 65.73/65.94 apply zenon_H29c. apply sym_equal. exact zenon_H29b. % 65.73/65.94 (* end of lemma zenon_L279_ *) % 65.73/65.94 assert (zenon_L280_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e13) (e12)) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H29e zenon_H2e2 zenon_H2a9 zenon_H29f. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e12))) = (e10)) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H29e. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H2e2. % 65.73/65.94 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2a0]. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e12))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2e3]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H28b | zenon_intro zenon_H28c ]. % 65.73/65.94 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (op1 (e10) (e12))) = (op1 (e10) (e12)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H2e3. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H28b. % 65.73/65.94 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H28c]. % 65.73/65.94 cut (((op1 (e10) (e12)) = (op1 (e10) (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2e0]. % 65.73/65.94 congruence. % 65.73/65.94 apply (zenon_L278_); trivial. % 65.73/65.94 apply zenon_H28c. apply refl_equal. % 65.73/65.94 apply zenon_H28c. apply refl_equal. % 65.73/65.94 apply zenon_H2a0. apply sym_equal. exact zenon_H29f. % 65.73/65.94 (* end of lemma zenon_L280_ *) % 65.73/65.94 assert (zenon_L281_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> ((op1 (e10) (e12)) = (e12)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H227 zenon_H1ed zenon_H1f4 zenon_H2a1 zenon_H285 zenon_H21e zenon_H270 zenon_H284 zenon_H2df zenon_H236 zenon_H293 zenon_H299 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H29e zenon_H2e2 zenon_H2a9. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.94 apply (zenon_L214_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.94 apply (zenon_L215_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.94 apply (zenon_L216_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H23e | zenon_intro zenon_H2a2 ]. % 65.73/65.94 apply (zenon_L277_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a3 ]. % 65.73/65.94 apply (zenon_L279_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H1fb | zenon_intro zenon_H29f ]. % 65.73/65.94 apply (zenon_L216_); trivial. % 65.73/65.94 apply (zenon_L280_); trivial. % 65.73/65.94 (* end of lemma zenon_L281_ *) % 65.73/65.94 assert (zenon_L282_ : (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e10) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H20c zenon_H285 zenon_H282 zenon_H20d. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e10))) = (e10)) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H20c. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H285. % 65.73/65.94 cut (((e10) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20e]. % 65.73/65.94 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H287]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H210 | zenon_intro zenon_H211 ]. % 65.73/65.94 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H287. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H210. % 65.73/65.94 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H211]. % 65.73/65.94 cut (((op1 (e10) (e11)) = (op1 (e10) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H281]. % 65.73/65.94 congruence. % 65.73/65.94 apply (zenon_L249_); trivial. % 65.73/65.94 apply zenon_H211. apply refl_equal. % 65.73/65.94 apply zenon_H211. apply refl_equal. % 65.73/65.94 apply zenon_H20e. apply sym_equal. exact zenon_H20d. % 65.73/65.94 (* end of lemma zenon_L282_ *) % 65.73/65.94 assert (zenon_L283_ : (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e11) (e13)) = (e10)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H2e4 zenon_H1ee zenon_H2e5 zenon_H1eb. % 65.73/65.94 cut (((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H2e4. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H1ee. % 65.73/65.94 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1ea]. % 65.73/65.94 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2e6]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H256 | zenon_intro zenon_H257 ]. % 65.73/65.94 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e10) = (op1 (e11) (e13)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H2e6. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H256. % 65.73/65.94 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H257]. % 65.73/65.94 cut (((op1 (e11) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2e7]. % 65.73/65.94 congruence. % 65.73/65.94 exact (zenon_H2e7 zenon_H2e5). % 65.73/65.94 apply zenon_H257. apply refl_equal. % 65.73/65.94 apply zenon_H257. apply refl_equal. % 65.73/65.94 apply (zenon_L213_); trivial. % 65.73/65.94 (* end of lemma zenon_L283_ *) % 65.73/65.94 assert (zenon_L284_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e10) (e10)) = (e11)) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H2e8 zenon_H29e zenon_H1fa zenon_H293 zenon_H2df zenon_H284 zenon_H270 zenon_H21e zenon_H2a1 zenon_H1f4 zenon_H1ed zenon_H227 zenon_H282 zenon_H285 zenon_H20c zenon_H2a9 zenon_H2e2 zenon_H299 zenon_H2e4 zenon_H1ee zenon_H1eb. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H236 | zenon_intro zenon_H2e9 ]. % 65.73/65.94 apply (zenon_L281_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H20d | zenon_intro zenon_H2ea ]. % 65.73/65.94 apply (zenon_L282_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H29b | zenon_intro zenon_H2e5 ]. % 65.73/65.94 apply (zenon_L279_); trivial. % 65.73/65.94 apply (zenon_L283_); trivial. % 65.73/65.94 (* end of lemma zenon_L284_ *) % 65.73/65.94 assert (zenon_L285_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H227 zenon_H1ed zenon_H1f4 zenon_H2a1 zenon_H285 zenon_H270 zenon_H284 zenon_H2df zenon_H236 zenon_H293 zenon_H297 zenon_H299 zenon_H1fa zenon_H2b4 zenon_H1eb zenon_H1ee zenon_H219 zenon_H27d zenon_H29e zenon_H21e zenon_H29a. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.94 apply (zenon_L214_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.94 apply (zenon_L215_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.94 apply (zenon_L216_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H23e | zenon_intro zenon_H2a2 ]. % 65.73/65.94 apply (zenon_L277_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a3 ]. % 65.73/65.94 apply (zenon_L256_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H1fb | zenon_intro zenon_H29f ]. % 65.73/65.94 apply (zenon_L216_); trivial. % 65.73/65.94 apply (zenon_L272_); trivial. % 65.73/65.94 (* end of lemma zenon_L285_ *) % 65.73/65.94 assert (zenon_L286_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e10) (e10)) = (e11)) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H2eb zenon_H212 zenon_H2e2 zenon_H2e8 zenon_H21e zenon_H29e zenon_H27d zenon_H219 zenon_H2b4 zenon_H1fa zenon_H293 zenon_H2df zenon_H284 zenon_H270 zenon_H2a1 zenon_H1f4 zenon_H1ed zenon_H227 zenon_H282 zenon_H285 zenon_H20c zenon_H29a zenon_H299 zenon_H2e4 zenon_H1ee zenon_H1eb. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.73/65.94 exact (zenon_H270 zenon_H289). % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.73/65.94 apply (zenon_L225_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.73/65.94 apply (zenon_L284_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H236 | zenon_intro zenon_H2e9 ]. % 65.73/65.94 apply (zenon_L285_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H20d | zenon_intro zenon_H2ea ]. % 65.73/65.94 apply (zenon_L282_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H29b | zenon_intro zenon_H2e5 ]. % 65.73/65.94 apply (zenon_L256_); trivial. % 65.73/65.94 apply (zenon_L283_); trivial. % 65.73/65.94 (* end of lemma zenon_L286_ *) % 65.73/65.94 assert (zenon_L287_ : (~((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e10) (e11)))) -> ((op1 (e12) (e13)) = (e10)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e10) (e11)) = (e10)) -> False). % 65.73/65.94 do 0 intro. intros zenon_H2ee zenon_H220 zenon_H1eb zenon_H202. % 65.73/65.94 cut (((op1 (e12) (e13)) = (e10)) = ((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e10) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H2ee. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H220. % 65.73/65.94 cut (((e10) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H203]. % 65.73/65.94 cut (((op1 (e12) (e13)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2dc]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13)))); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2de ]. % 65.73/65.94 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e12) (e13)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H2dc. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H2dd. % 65.73/65.94 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2de]. % 65.73/65.94 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1ea]. % 65.73/65.94 congruence. % 65.73/65.94 apply (zenon_L213_); trivial. % 65.73/65.94 apply zenon_H2de. apply refl_equal. % 65.73/65.94 apply zenon_H2de. apply refl_equal. % 65.73/65.94 apply zenon_H203. apply sym_equal. exact zenon_H202. % 65.73/65.94 (* end of lemma zenon_L287_ *) % 65.73/65.94 assert (zenon_L288_ : ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H249 zenon_H247 zenon_H260 zenon_H2ef. % 65.73/65.94 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ]. % 65.73/65.94 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e11) (e10)) = (op1 (e11) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H2ef. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H24a. % 65.73/65.94 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H24b]. % 65.73/65.94 cut (((op1 (e11) (e11)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f0]. % 65.73/65.94 congruence. % 65.73/65.94 cut (((op1 (e11) (op1 (e11) (e11))) = (e11)) = ((op1 (e11) (e11)) = (op1 (e11) (e10)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H2f0. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H249. % 65.73/65.94 cut (((e11) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f1]. % 65.73/65.94 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H24d]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ]. % 65.73/65.94 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H24d. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H24a. % 65.73/65.94 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H24b]. % 65.73/65.94 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H246]. % 65.73/65.94 congruence. % 65.73/65.94 apply (zenon_L234_); trivial. % 65.73/65.94 apply zenon_H24b. apply refl_equal. % 65.73/65.94 apply zenon_H24b. apply refl_equal. % 65.73/65.94 apply zenon_H2f1. apply sym_equal. exact zenon_H260. % 65.73/65.94 apply zenon_H24b. apply refl_equal. % 65.73/65.94 apply zenon_H24b. apply refl_equal. % 65.73/65.94 (* end of lemma zenon_L288_ *) % 65.73/65.94 assert (zenon_L289_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e10) (e11)) = (e10)) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.94 do 0 intro. intros zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1fa zenon_H25a zenon_H20c zenon_H1eb zenon_H202 zenon_H1ee zenon_H2ef zenon_H260 zenon_H251 zenon_H252 zenon_H249 zenon_H219. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.94 apply (zenon_L214_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.94 apply (zenon_L215_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.94 apply (zenon_L216_); trivial. % 65.73/65.94 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H20d | zenon_intro zenon_H25c ]. % 65.73/65.94 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ]. % 65.73/65.94 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H20c. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H24a. % 65.73/65.94 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H24b]. % 65.73/65.94 cut (((op1 (e11) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H24c]. % 65.73/65.94 congruence. % 65.73/65.94 cut (((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e11) (e11)) = (op1 (e10) (e11)))). % 65.73/65.94 intro zenon_D_pnotp. % 65.73/65.94 apply zenon_H24c. % 65.73/65.94 rewrite <- zenon_D_pnotp. % 65.73/65.94 exact zenon_H1ee. % 65.73/65.94 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2ee]. % 65.73/65.94 cut (((e10) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20e]. % 65.73/65.94 congruence. % 65.73/65.94 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ]. % 65.73/65.95 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((e10) = (op1 (e11) (e11)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H20e. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H24a. % 65.73/65.95 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H24b]. % 65.73/65.95 cut (((op1 (e11) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H25b]. % 65.73/65.95 congruence. % 65.73/65.95 exact (zenon_H25b zenon_H20d). % 65.73/65.95 apply zenon_H24b. apply refl_equal. % 65.73/65.95 apply zenon_H24b. apply refl_equal. % 65.73/65.95 apply (zenon_L287_); trivial. % 65.73/65.95 apply zenon_H24b. apply refl_equal. % 65.73/65.95 apply zenon_H24b. apply refl_equal. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H247 | zenon_intro zenon_H25d ]. % 65.73/65.95 apply (zenon_L288_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H24f | zenon_intro zenon_H253 ]. % 65.73/65.95 exact (zenon_H251 zenon_H24f). % 65.73/65.95 apply (zenon_L237_); trivial. % 65.73/65.95 (* end of lemma zenon_L289_ *) % 65.73/65.95 assert (zenon_L290_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (e13)) = (e11)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H252 zenon_H219 zenon_H27b. % 65.73/65.95 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H252. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H219. % 65.73/65.95 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.73/65.95 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f2]. % 65.73/65.95 congruence. % 65.73/65.95 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H256 | zenon_intro zenon_H257 ]. % 65.73/65.95 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e11) = (op1 (e11) (e13)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H2f2. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H256. % 65.73/65.95 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H257]. % 65.73/65.95 cut (((op1 (e11) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H2f3]. % 65.73/65.95 congruence. % 65.73/65.95 exact (zenon_H2f3 zenon_H27b). % 65.73/65.95 apply zenon_H257. apply refl_equal. % 65.73/65.95 apply zenon_H257. apply refl_equal. % 65.73/65.95 apply zenon_H274. apply refl_equal. % 65.73/65.95 (* end of lemma zenon_L290_ *) % 65.73/65.95 assert (zenon_L291_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e10) (e11)) = (e10)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H2f4 zenon_H2ef zenon_H1ee zenon_H202 zenon_H1eb zenon_H1fa zenon_H1f4 zenon_H1ed zenon_H227 zenon_H20c zenon_H20a zenon_H249 zenon_H251 zenon_H26b zenon_H265 zenon_H25a zenon_H252 zenon_H219. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H260 | zenon_intro zenon_H2f5 ]. % 65.73/65.95 apply (zenon_L289_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H247 | zenon_intro zenon_H2f6 ]. % 65.73/65.95 apply (zenon_L235_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H266 | zenon_intro zenon_H27b ]. % 65.73/65.95 apply (zenon_L244_); trivial. % 65.73/65.95 apply (zenon_L290_); trivial. % 65.73/65.95 (* end of lemma zenon_L291_ *) % 65.73/65.95 assert (zenon_L292_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H2eb zenon_H212 zenon_H2aa zenon_H2a8 zenon_H227 zenon_H1ed zenon_H1f4 zenon_H2a1 zenon_H285 zenon_H270 zenon_H284 zenon_H2df zenon_H236 zenon_H293 zenon_H299 zenon_H1fa zenon_H2b4 zenon_H1eb zenon_H1ee zenon_H219 zenon_H27d zenon_H29e zenon_H21e zenon_H29a. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.73/65.95 exact (zenon_H270 zenon_H289). % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.73/65.95 apply (zenon_L225_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.73/65.95 apply (zenon_L260_); trivial. % 65.73/65.95 apply (zenon_L285_); trivial. % 65.73/65.95 (* end of lemma zenon_L292_ *) % 65.73/65.95 assert (zenon_L293_ : (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H2f7 zenon_H249 zenon_H20d zenon_H2f8. % 65.73/65.95 cut (((op1 (e11) (op1 (e11) (e11))) = (e11)) = ((op1 (e11) (e10)) = (op1 (e12) (e10)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H2f7. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H249. % 65.73/65.95 cut (((e11) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f9]. % 65.73/65.95 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H268]. % 65.73/65.95 congruence. % 65.73/65.95 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ]. % 65.73/65.95 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e10)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H268. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H269. % 65.73/65.95 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H26a]. % 65.73/65.95 cut (((op1 (e11) (e10)) = (op1 (e11) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H264]. % 65.73/65.95 congruence. % 65.73/65.95 apply (zenon_L241_); trivial. % 65.73/65.95 apply zenon_H26a. apply refl_equal. % 65.73/65.95 apply zenon_H26a. apply refl_equal. % 65.73/65.95 apply zenon_H2f9. apply sym_equal. exact zenon_H2f8. % 65.73/65.95 (* end of lemma zenon_L293_ *) % 65.73/65.95 assert (zenon_L294_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e10) (e12)) = (e11)) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H2e8 zenon_H21e zenon_H29e zenon_H27d zenon_H219 zenon_H2b4 zenon_H1fa zenon_H293 zenon_H2df zenon_H284 zenon_H270 zenon_H285 zenon_H2a1 zenon_H1f4 zenon_H1ed zenon_H227 zenon_H2a8 zenon_H2aa zenon_H212 zenon_H2eb zenon_H2f8 zenon_H249 zenon_H2f7 zenon_H29a zenon_H299 zenon_H2e4 zenon_H1ee zenon_H1eb. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.73/65.95 exact (zenon_H270 zenon_H289). % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.73/65.95 apply (zenon_L225_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.73/65.95 apply (zenon_L260_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H236 | zenon_intro zenon_H2e9 ]. % 65.73/65.95 apply (zenon_L292_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H20d | zenon_intro zenon_H2ea ]. % 65.73/65.95 apply (zenon_L293_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H29b | zenon_intro zenon_H2e5 ]. % 65.73/65.95 apply (zenon_L256_); trivial. % 65.73/65.95 apply (zenon_L283_); trivial. % 65.73/65.95 (* end of lemma zenon_L294_ *) % 65.73/65.95 assert (zenon_L295_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e13) (e10)) = (e11)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H2fa zenon_H219 zenon_H2fb. % 65.73/65.95 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H2fa. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H219. % 65.73/65.95 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.73/65.95 cut (((e11) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fc]. % 65.73/65.95 congruence. % 65.73/65.95 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H2fd | zenon_intro zenon_H2fe ]. % 65.73/65.95 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e11) = (op1 (e13) (e10)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H2fc. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H2fd. % 65.73/65.95 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fe]. % 65.73/65.95 cut (((op1 (e13) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H2ff]. % 65.73/65.95 congruence. % 65.73/65.95 exact (zenon_H2ff zenon_H2fb). % 65.73/65.95 apply zenon_H2fe. apply refl_equal. % 65.73/65.95 apply zenon_H2fe. apply refl_equal. % 65.73/65.95 apply zenon_H274. apply refl_equal. % 65.73/65.95 (* end of lemma zenon_L295_ *) % 65.73/65.95 assert (zenon_L296_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1fa zenon_H293 zenon_H1eb zenon_H236 zenon_H1ee zenon_H2df zenon_H23e zenon_H284 zenon_H270 zenon_H21e zenon_H285. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.95 apply (zenon_L214_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.95 apply (zenon_L215_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.95 apply (zenon_L216_); trivial. % 65.73/65.95 apply (zenon_L277_); trivial. % 65.73/65.95 (* end of lemma zenon_L296_ *) % 65.73/65.95 assert (zenon_L297_ : (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e13) (e10)) = (e10)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H300 zenon_H285 zenon_H22f zenon_H301. % 65.73/65.95 cut (((op1 (e10) (op1 (e10) (e10))) = (e10)) = ((op1 (e10) (e10)) = (op1 (e13) (e10)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H300. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H285. % 65.73/65.95 cut (((e10) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H302]. % 65.73/65.95 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2d9]. % 65.73/65.95 congruence. % 65.73/65.95 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H207 | zenon_intro zenon_H208 ]. % 65.73/65.95 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H2d9. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H207. % 65.73/65.95 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H208]. % 65.73/65.95 cut (((op1 (e10) (e10)) = (op1 (e10) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2d6]. % 65.73/65.95 congruence. % 65.73/65.95 apply (zenon_L270_); trivial. % 65.73/65.95 apply zenon_H208. apply refl_equal. % 65.73/65.95 apply zenon_H208. apply refl_equal. % 65.73/65.95 apply zenon_H302. apply sym_equal. exact zenon_H301. % 65.73/65.95 (* end of lemma zenon_L297_ *) % 65.73/65.95 assert (zenon_L298_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e12) (e13)) = (e10)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H293 zenon_H301 zenon_H300 zenon_H23e zenon_H284 zenon_H270 zenon_H21e zenon_H285 zenon_H220. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H22f | zenon_intro zenon_H294 ]. % 65.73/65.95 apply (zenon_L297_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H282 | zenon_intro zenon_H295 ]. % 65.73/65.95 apply (zenon_L250_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H289 | zenon_intro zenon_H28f ]. % 65.73/65.95 exact (zenon_H270 zenon_H289). % 65.73/65.95 apply (zenon_L253_); trivial. % 65.73/65.95 (* end of lemma zenon_L298_ *) % 65.73/65.95 assert (zenon_L299_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H293 zenon_H301 zenon_H300 zenon_H23e zenon_H284 zenon_H270 zenon_H21e zenon_H285. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.95 apply (zenon_L214_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.95 apply (zenon_L215_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.95 apply (zenon_L216_); trivial. % 65.73/65.95 apply (zenon_L298_); trivial. % 65.73/65.95 (* end of lemma zenon_L299_ *) % 65.73/65.95 assert (zenon_L300_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H303 zenon_H2d8 zenon_H2df zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H293 zenon_H300 zenon_H23e zenon_H284 zenon_H270 zenon_H21e zenon_H285. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H22f | zenon_intro zenon_H304 ]. % 65.73/65.95 apply (zenon_L271_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H236 | zenon_intro zenon_H305 ]. % 65.73/65.95 apply (zenon_L296_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H1ef | zenon_intro zenon_H301 ]. % 65.73/65.95 apply (zenon_L214_); trivial. % 65.73/65.95 apply (zenon_L299_); trivial. % 65.73/65.95 (* end of lemma zenon_L300_ *) % 65.73/65.95 assert (zenon_L301_ : (((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13)))))))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H306. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H308. zenon_intro zenon_H307. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H308. zenon_intro zenon_H27c. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H30a. zenon_intro zenon_H309. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H30c. zenon_intro zenon_H30b. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H30e. zenon_intro zenon_H30d. % 65.73/65.95 exact (zenon_H30d zenon_H308). % 65.73/65.95 (* end of lemma zenon_L301_ *) % 65.73/65.95 assert (zenon_L302_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> ((op1 (e10) (e12)) = (e12)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H227 zenon_H1ed zenon_H1eb zenon_H1ee zenon_H1f4 zenon_H2a1 zenon_H285 zenon_H21e zenon_H202 zenon_H284 zenon_H232 zenon_H293 zenon_H299 zenon_H1ff zenon_H29e zenon_H2e2 zenon_H2a9. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.95 apply (zenon_L214_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.95 apply (zenon_L215_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.95 exact (zenon_H1ff zenon_H1fb). % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H23e | zenon_intro zenon_H2a2 ]. % 65.73/65.95 apply (zenon_L254_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a3 ]. % 65.73/65.95 apply (zenon_L279_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H1fb | zenon_intro zenon_H29f ]. % 65.73/65.95 exact (zenon_H1ff zenon_H1fb). % 65.73/65.95 apply (zenon_L280_); trivial. % 65.73/65.95 (* end of lemma zenon_L302_ *) % 65.73/65.95 assert (zenon_L303_ : (((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H2b2 zenon_H2b3 zenon_H2e2 zenon_H29e zenon_H299 zenon_H293 zenon_H2a1 zenon_H1f4 zenon_H1ed zenon_H227 zenon_H219 zenon_H27d zenon_H2aa zenon_H25a zenon_H20c zenon_H24e zenon_H252 zenon_H249 zenon_H284 zenon_H285 zenon_H2af zenon_H21e zenon_H1ee zenon_H1eb. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.73/65.95 exact (zenon_H232 zenon_H22f). % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.73/65.95 apply (zenon_L302_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.73/65.95 apply (zenon_L261_); trivial. % 65.73/65.95 apply (zenon_L231_); trivial. % 65.73/65.95 (* end of lemma zenon_L303_ *) % 65.73/65.95 assert (zenon_L304_ : (~((e12) = (e13))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H30f zenon_H2a4 zenon_H297. % 65.73/65.95 cut (((op1 (e10) (e13)) = (e13)) = ((e12) = (e13))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H30f. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H2a4. % 65.73/65.95 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 65.73/65.95 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H310]. % 65.73/65.95 congruence. % 65.73/65.95 exact (zenon_H310 zenon_H297). % 65.73/65.95 apply zenon_H1e9. apply refl_equal. % 65.73/65.95 (* end of lemma zenon_L304_ *) % 65.73/65.95 assert (zenon_L305_ : (~((op1 (e11) (e12)) = (op1 (e11) (op1 (e11) (e13))))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H311 zenon_H312. % 65.73/65.95 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H313]. % 65.73/65.95 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 65.73/65.95 congruence. % 65.73/65.95 apply zenon_H245. apply refl_equal. % 65.73/65.95 apply zenon_H313. apply sym_equal. exact zenon_H312. % 65.73/65.95 (* end of lemma zenon_L305_ *) % 65.73/65.95 assert (zenon_L306_ : ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H314 zenon_H312 zenon_H2a8 zenon_H299. % 65.73/65.95 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H315 | zenon_intro zenon_H316 ]. % 65.73/65.95 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H299. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H315. % 65.73/65.95 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H316]. % 65.73/65.95 cut (((op1 (e11) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H317]. % 65.73/65.95 congruence. % 65.73/65.95 cut (((op1 (e11) (op1 (e11) (e13))) = (e11)) = ((op1 (e11) (e12)) = (op1 (e10) (e12)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H317. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H314. % 65.73/65.95 cut (((e11) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H318]. % 65.73/65.95 cut (((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H319]. % 65.73/65.95 congruence. % 65.73/65.95 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H315 | zenon_intro zenon_H316 ]. % 65.73/65.95 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e12)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H319. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H315. % 65.73/65.95 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H316]. % 65.73/65.95 cut (((op1 (e11) (e12)) = (op1 (e11) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H311]. % 65.73/65.95 congruence. % 65.73/65.95 apply (zenon_L305_); trivial. % 65.73/65.95 apply zenon_H316. apply refl_equal. % 65.73/65.95 apply zenon_H316. apply refl_equal. % 65.73/65.95 apply zenon_H318. apply sym_equal. exact zenon_H2a8. % 65.73/65.95 apply zenon_H316. apply refl_equal. % 65.73/65.95 apply zenon_H316. apply refl_equal. % 65.73/65.95 (* end of lemma zenon_L306_ *) % 65.73/65.95 assert (zenon_L307_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> ((op1 (e11) (e13)) = (e13)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H252 zenon_H314 zenon_H2d5 zenon_H219. % 65.73/65.95 cut (((op1 (e11) (op1 (e11) (e13))) = (e11)) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H252. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H314. % 65.73/65.95 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H254]. % 65.73/65.95 cut (((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H31a]. % 65.73/65.95 congruence. % 65.73/65.95 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H256 | zenon_intro zenon_H257 ]. % 65.73/65.95 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e13)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H31a. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H256. % 65.73/65.95 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H257]. % 65.73/65.95 cut (((op1 (e11) (e13)) = (op1 (e11) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H31b]. % 65.73/65.95 congruence. % 65.73/65.95 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H31c]. % 65.73/65.95 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 65.73/65.95 congruence. % 65.73/65.95 apply zenon_H245. apply refl_equal. % 65.73/65.95 apply zenon_H31c. apply sym_equal. exact zenon_H2d5. % 65.73/65.95 apply zenon_H257. apply refl_equal. % 65.73/65.95 apply zenon_H257. apply refl_equal. % 65.73/65.95 exact (zenon_H254 zenon_H219). % 65.73/65.95 (* end of lemma zenon_L307_ *) % 65.73/65.95 assert (zenon_L308_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H31d zenon_H1eb zenon_H1ee zenon_H2e4 zenon_H299 zenon_H2a8 zenon_H252 zenon_H314 zenon_H219. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H2e5 | zenon_intro zenon_H31e ]. % 65.73/65.95 apply (zenon_L283_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H27b | zenon_intro zenon_H31f ]. % 65.73/65.95 apply (zenon_L290_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H312 | zenon_intro zenon_H2d5 ]. % 65.73/65.95 apply (zenon_L306_); trivial. % 65.73/65.95 apply (zenon_L307_); trivial. % 65.73/65.95 (* end of lemma zenon_L308_ *) % 65.73/65.95 assert (zenon_L309_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H2af zenon_H23e zenon_H285 zenon_H284 zenon_H249 zenon_H24e zenon_H20c zenon_H25b zenon_H25a zenon_H314 zenon_H252 zenon_H299 zenon_H2e4 zenon_H1ee zenon_H1eb zenon_H31d zenon_H27d zenon_H219. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H282 | zenon_intro zenon_H2b0 ]. % 65.73/65.95 apply (zenon_L250_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H20a | zenon_intro zenon_H2b1 ]. % 65.73/65.95 apply (zenon_L238_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H27e ]. % 65.73/65.95 apply (zenon_L308_); trivial. % 65.73/65.95 apply (zenon_L248_); trivial. % 65.73/65.95 (* end of lemma zenon_L309_ *) % 65.73/65.95 assert (zenon_L310_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> ((op1 (e10) (e12)) = (e12)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H2a1 zenon_H22f zenon_H285 zenon_H2d8 zenon_H299 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H29e zenon_H2e2 zenon_H2a9. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H23e | zenon_intro zenon_H2a2 ]. % 65.73/65.95 apply (zenon_L271_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a3 ]. % 65.73/65.95 apply (zenon_L279_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H1fb | zenon_intro zenon_H29f ]. % 65.73/65.95 apply (zenon_L216_); trivial. % 65.73/65.95 apply (zenon_L280_); trivial. % 65.73/65.95 (* end of lemma zenon_L310_ *) % 65.73/65.95 assert (zenon_L311_ : (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e12) (e11)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H320 zenon_H1eb zenon_H2be zenon_H219. % 65.73/65.95 cut (((e12) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e12) (e11)) = (op1 (e13) (e11)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H320. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H1eb. % 65.73/65.95 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H218]. % 65.73/65.95 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H321]. % 65.73/65.95 congruence. % 65.73/65.95 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H1f8 ]. % 65.73/65.95 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e12) = (op1 (e12) (e11)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H321. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H1f7. % 65.73/65.95 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1f8]. % 65.73/65.95 cut (((op1 (e12) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H322]. % 65.73/65.95 congruence. % 65.73/65.95 exact (zenon_H322 zenon_H2be). % 65.73/65.95 apply zenon_H1f8. apply refl_equal. % 65.73/65.95 apply zenon_H1f8. apply refl_equal. % 65.73/65.95 apply (zenon_L224_); trivial. % 65.73/65.95 (* end of lemma zenon_L311_ *) % 65.73/65.95 assert (zenon_L312_ : (~((op1 (e13) (op1 (e13) (e13))) = (op1 (e11) (e13)))) -> ((op1 (e13) (e11)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H323 zenon_H324 zenon_H219 zenon_H312. % 65.73/65.95 cut (((op1 (e13) (e11)) = (e12)) = ((op1 (e13) (op1 (e13) (e13))) = (op1 (e11) (e13)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H323. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H324. % 65.73/65.95 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H313]. % 65.73/65.95 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H325]. % 65.73/65.95 congruence. % 65.73/65.95 elim (classic ((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (op1 (e13) (e13))))); [ zenon_intro zenon_H326 | zenon_intro zenon_H327 ]. % 65.73/65.95 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e13))))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H325. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H326. % 65.73/65.95 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H327]. % 65.73/65.95 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H218]. % 65.73/65.95 congruence. % 65.73/65.95 apply (zenon_L224_); trivial. % 65.73/65.95 apply zenon_H327. apply refl_equal. % 65.73/65.95 apply zenon_H327. apply refl_equal. % 65.73/65.95 apply zenon_H313. apply sym_equal. exact zenon_H312. % 65.73/65.95 (* end of lemma zenon_L312_ *) % 65.73/65.95 assert (zenon_L313_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e11) (e13)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H328 zenon_H1eb zenon_H297 zenon_H324 zenon_H312 zenon_H219. % 65.73/65.95 cut (((e12) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H328. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H1eb. % 65.73/65.95 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H323]. % 65.73/65.95 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H298]. % 65.73/65.95 congruence. % 65.73/65.95 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H223 | zenon_intro zenon_H224 ]. % 65.73/65.95 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e12) = (op1 (e10) (e13)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H298. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H223. % 65.73/65.95 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H224]. % 65.73/65.95 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H310]. % 65.73/65.95 congruence. % 65.73/65.95 exact (zenon_H310 zenon_H297). % 65.73/65.95 apply zenon_H224. apply refl_equal. % 65.73/65.95 apply zenon_H224. apply refl_equal. % 65.73/65.95 apply (zenon_L312_); trivial. % 65.73/65.95 (* end of lemma zenon_L313_ *) % 65.73/65.95 assert (zenon_L314_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H31d zenon_H1ee zenon_H2e4 zenon_H324 zenon_H297 zenon_H1eb zenon_H328 zenon_H252 zenon_H314 zenon_H219. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H2e5 | zenon_intro zenon_H31e ]. % 65.73/65.95 apply (zenon_L283_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H27b | zenon_intro zenon_H31f ]. % 65.73/65.95 apply (zenon_L290_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H312 | zenon_intro zenon_H2d5 ]. % 65.73/65.95 apply (zenon_L313_); trivial. % 65.73/65.95 apply (zenon_L307_); trivial. % 65.73/65.95 (* end of lemma zenon_L314_ *) % 65.73/65.95 assert (zenon_L315_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H329 zenon_H212 zenon_H251 zenon_H320 zenon_H31d zenon_H1ee zenon_H2e4 zenon_H297 zenon_H1eb zenon_H328 zenon_H252 zenon_H314 zenon_H219. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.73/65.95 apply (zenon_L225_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.73/65.95 exact (zenon_H251 zenon_H24f). % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.73/65.95 apply (zenon_L311_); trivial. % 65.73/65.95 apply (zenon_L314_); trivial. % 65.73/65.95 (* end of lemma zenon_L315_ *) % 65.73/65.95 assert (zenon_L316_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H32c zenon_H272 zenon_H2aa zenon_H2c6 zenon_H24e zenon_H30f zenon_H1eb zenon_H1ee zenon_H21e zenon_H303 zenon_H2d8 zenon_H2df zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1fa zenon_H293 zenon_H300 zenon_H284 zenon_H285 zenon_H2af zenon_H328 zenon_H320 zenon_H212 zenon_H329 zenon_H2e8 zenon_H29e zenon_H2a1 zenon_H2e2 zenon_H2eb zenon_H25a zenon_H265 zenon_H26b zenon_H249 zenon_H20c zenon_H2ef zenon_H2f4 zenon_H314 zenon_H252 zenon_H299 zenon_H2e4 zenon_H31d zenon_H27d zenon_H219 zenon_H2b3. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.73/65.95 apply (zenon_L228_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.73/65.95 apply (zenon_L229_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.73/65.95 apply (zenon_L230_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.73/65.95 apply (zenon_L232_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.73/65.95 apply (zenon_L239_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.73/65.95 apply (zenon_L240_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.73/65.95 apply (zenon_L245_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.73/65.95 apply (zenon_L247_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.73/65.95 apply (zenon_L303_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.73/65.95 apply (zenon_L263_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.73/65.95 apply (zenon_L264_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.73/65.95 apply (zenon_L266_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.73/65.95 exact (zenon_H232 zenon_H22f). % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.73/65.95 apply (zenon_L252_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.73/65.95 apply (zenon_L225_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.73/65.95 apply (zenon_L302_); trivial. % 65.73/65.95 apply (zenon_L304_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.73/65.95 apply (zenon_L309_); trivial. % 65.73/65.95 apply (zenon_L231_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.73/65.95 apply (zenon_L269_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.73/65.95 exact (zenon_H270 zenon_H289). % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.73/65.95 apply (zenon_L225_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.73/65.95 apply (zenon_L310_); trivial. % 65.73/65.95 apply (zenon_L315_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H282 | zenon_intro zenon_H2b0 ]. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.73/65.95 exact (zenon_H270 zenon_H289). % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.73/65.95 apply (zenon_L225_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.73/65.95 apply (zenon_L284_); trivial. % 65.73/65.95 apply (zenon_L315_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H20a | zenon_intro zenon_H2b1 ]. % 65.73/65.95 apply (zenon_L291_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H27e ]. % 65.73/65.95 apply (zenon_L308_); trivial. % 65.73/65.95 apply (zenon_L248_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.73/65.95 apply (zenon_L300_); trivial. % 65.73/65.95 apply (zenon_L231_); trivial. % 65.73/65.95 apply (zenon_L301_); trivial. % 65.73/65.95 (* end of lemma zenon_L316_ *) % 65.73/65.95 assert (zenon_L317_ : (~((op1 (e13) (op1 (e13) (e13))) = (op1 (e12) (e10)))) -> ((op1 (e13) (e11)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e12) (e10)) = (e12)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H33f zenon_H324 zenon_H219 zenon_H2b6. % 65.73/65.95 cut (((op1 (e13) (e11)) = (e12)) = ((op1 (e13) (op1 (e13) (e13))) = (op1 (e12) (e10)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H33f. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H324. % 65.73/65.95 cut (((e12) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H340]. % 65.73/65.95 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H325]. % 65.73/65.95 congruence. % 65.73/65.95 elim (classic ((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (op1 (e13) (e13))))); [ zenon_intro zenon_H326 | zenon_intro zenon_H327 ]. % 65.73/65.95 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e13))))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H325. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H326. % 65.73/65.95 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H327]. % 65.73/65.95 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H218]. % 65.73/65.95 congruence. % 65.73/65.95 apply (zenon_L224_); trivial. % 65.73/65.95 apply zenon_H327. apply refl_equal. % 65.73/65.95 apply zenon_H327. apply refl_equal. % 65.73/65.95 apply zenon_H340. apply sym_equal. exact zenon_H2b6. % 65.73/65.95 (* end of lemma zenon_L317_ *) % 65.73/65.95 assert (zenon_L318_ : (~((e12) = (e12))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H2ac. % 65.73/65.95 apply zenon_H2ac. apply refl_equal. % 65.73/65.95 (* end of lemma zenon_L318_ *) % 65.73/65.95 assert (zenon_L319_ : (~((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e13))))) -> ((op1 (e12) (e13)) = (e10)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H341 zenon_H220. % 65.73/65.95 cut (((e10) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H221]. % 65.73/65.95 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2ac]. % 65.73/65.95 congruence. % 65.73/65.95 apply zenon_H2ac. apply refl_equal. % 65.73/65.95 apply zenon_H221. apply sym_equal. exact zenon_H220. % 65.73/65.95 (* end of lemma zenon_L319_ *) % 65.73/65.95 assert (zenon_L320_ : (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e12) (e12)) = (e12)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H342 zenon_H343 zenon_H220 zenon_H2c2. % 65.73/65.95 cut (((op1 (e12) (op1 (e12) (e13))) = (e12)) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H342. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H343. % 65.73/65.95 cut (((e12) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H344]. % 65.73/65.95 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H345]. % 65.73/65.95 congruence. % 65.73/65.95 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1f2 ]. % 65.73/65.95 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e10)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H345. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H1f1. % 65.73/65.95 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1f2]. % 65.73/65.95 cut (((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H341]. % 65.73/65.95 congruence. % 65.73/65.95 apply (zenon_L319_); trivial. % 65.73/65.95 apply zenon_H1f2. apply refl_equal. % 65.73/65.95 apply zenon_H1f2. apply refl_equal. % 65.73/65.95 apply zenon_H344. apply sym_equal. exact zenon_H2c2. % 65.73/65.95 (* end of lemma zenon_L320_ *) % 65.73/65.95 assert (zenon_L321_ : (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H1ed zenon_H343 zenon_H220 zenon_H2ce. % 65.73/65.95 cut (((op1 (e12) (op1 (e12) (e13))) = (e12)) = ((op1 (e12) (e10)) = (op1 (e12) (e13)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H1ed. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H343. % 65.73/65.95 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H346]. % 65.73/65.95 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H345]. % 65.73/65.95 congruence. % 65.73/65.95 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1f2 ]. % 65.73/65.95 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e10)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H345. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H1f1. % 65.73/65.95 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1f2]. % 65.73/65.95 cut (((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H341]. % 65.73/65.95 congruence. % 65.73/65.95 apply (zenon_L319_); trivial. % 65.73/65.95 apply zenon_H1f2. apply refl_equal. % 65.73/65.95 apply zenon_H1f2. apply refl_equal. % 65.73/65.95 apply zenon_H346. apply sym_equal. exact zenon_H2ce. % 65.73/65.95 (* end of lemma zenon_L321_ *) % 65.73/65.95 assert (zenon_L322_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H329 zenon_H212 zenon_H24e zenon_H227 zenon_H1ee zenon_H1f4 zenon_H1ff zenon_H347 zenon_H289 zenon_H348 zenon_H219 zenon_H1eb zenon_H320 zenon_H342 zenon_H1ed zenon_H343. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.73/65.95 apply (zenon_L225_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.73/65.95 apply (zenon_L236_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.73/65.95 apply (zenon_L311_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.95 apply (zenon_L214_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.95 apply (zenon_L215_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.95 exact (zenon_H1ff zenon_H1fb). % 65.73/65.95 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H349 ]. % 65.73/65.95 cut (((e12) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e10) (e10)) = (op1 (e12) (e10)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H348. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H1eb. % 65.73/65.95 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H33f]. % 65.73/65.95 cut (((e12) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H28a]. % 65.73/65.95 congruence. % 65.73/65.95 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H207 | zenon_intro zenon_H208 ]. % 65.73/65.95 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((e12) = (op1 (e10) (e10)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H28a. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H207. % 65.73/65.95 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H208]. % 65.73/65.95 cut (((op1 (e10) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H270]. % 65.73/65.95 congruence. % 65.73/65.95 exact (zenon_H270 zenon_H289). % 65.73/65.95 apply zenon_H208. apply refl_equal. % 65.73/65.95 apply zenon_H208. apply refl_equal. % 65.73/65.95 apply (zenon_L317_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H2be | zenon_intro zenon_H34a ]. % 65.73/65.95 apply (zenon_L311_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2ce ]. % 65.73/65.95 apply (zenon_L320_); trivial. % 65.73/65.95 apply (zenon_L321_); trivial. % 65.73/65.95 (* end of lemma zenon_L322_ *) % 65.73/65.95 assert (zenon_L323_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e13)) = (e13)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H2eb zenon_H343 zenon_H1ed zenon_H342 zenon_H320 zenon_H348 zenon_H347 zenon_H1ff zenon_H1f4 zenon_H1ee zenon_H227 zenon_H329 zenon_H212 zenon_H219 zenon_H27d zenon_H2aa zenon_H25a zenon_H25b zenon_H20c zenon_H1eb zenon_H24e zenon_H252 zenon_H249 zenon_H284 zenon_H285 zenon_H23e zenon_H2af zenon_H30f zenon_H2a4. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.73/65.95 apply (zenon_L322_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.73/65.95 apply (zenon_L225_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.73/65.95 apply (zenon_L261_); trivial. % 65.73/65.95 apply (zenon_L304_); trivial. % 65.73/65.95 (* end of lemma zenon_L323_ *) % 65.73/65.95 assert (zenon_L324_ : (~((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e13))))) -> ((op1 (e12) (e13)) = (e13)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H34b zenon_H33e. % 65.73/65.95 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34c]. % 65.73/65.95 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2ac]. % 65.73/65.95 congruence. % 65.73/65.95 apply zenon_H2ac. apply refl_equal. % 65.73/65.95 apply zenon_H34c. apply sym_equal. exact zenon_H33e. % 65.73/65.95 (* end of lemma zenon_L324_ *) % 65.73/65.95 assert (zenon_L325_ : ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H343 zenon_H33e zenon_H297 zenon_H21e. % 65.73/65.95 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H34d | zenon_intro zenon_H34e ]. % 65.73/65.95 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H21e. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H34d. % 65.73/65.95 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34e]. % 65.73/65.95 cut (((op1 (e12) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34f]. % 65.73/65.95 congruence. % 65.73/65.95 cut (((op1 (e12) (op1 (e12) (e13))) = (e12)) = ((op1 (e12) (e13)) = (op1 (e10) (e13)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H34f. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H343. % 65.73/65.95 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H298]. % 65.73/65.95 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H350]. % 65.73/65.95 congruence. % 65.73/65.95 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H34d | zenon_intro zenon_H34e ]. % 65.73/65.95 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e13)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H350. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H34d. % 65.73/65.95 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34e]. % 65.73/65.95 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H34b]. % 65.73/65.95 congruence. % 65.73/65.95 apply (zenon_L324_); trivial. % 65.73/65.95 apply zenon_H34e. apply refl_equal. % 65.73/65.95 apply zenon_H34e. apply refl_equal. % 65.73/65.95 apply zenon_H298. apply sym_equal. exact zenon_H297. % 65.73/65.95 apply zenon_H34e. apply refl_equal. % 65.73/65.95 apply zenon_H34e. apply refl_equal. % 65.73/65.95 (* end of lemma zenon_L325_ *) % 65.73/65.95 assert (zenon_L326_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H2eb zenon_H270 zenon_H219 zenon_H1eb zenon_H212 zenon_H2aa zenon_H2a8 zenon_H343 zenon_H33e zenon_H21e. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.73/65.95 exact (zenon_H270 zenon_H289). % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.73/65.95 apply (zenon_L225_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.73/65.95 apply (zenon_L260_); trivial. % 65.73/65.95 apply (zenon_L325_); trivial. % 65.73/65.95 (* end of lemma zenon_L326_ *) % 65.73/65.95 assert (zenon_L327_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H32c zenon_H272 zenon_H2c6 zenon_H342 zenon_H320 zenon_H348 zenon_H347 zenon_H329 zenon_H24e zenon_H30f zenon_H1eb zenon_H1ee zenon_H21e zenon_H303 zenon_H2d8 zenon_H2df zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1fa zenon_H293 zenon_H300 zenon_H284 zenon_H285 zenon_H2af zenon_H2e8 zenon_H29e zenon_H2a1 zenon_H2e2 zenon_H299 zenon_H2e4 zenon_H252 zenon_H25a zenon_H265 zenon_H26b zenon_H249 zenon_H20c zenon_H2ef zenon_H2f4 zenon_H343 zenon_H2aa zenon_H212 zenon_H2eb zenon_H27d zenon_H219 zenon_H2b3. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.73/65.95 apply (zenon_L228_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.73/65.95 apply (zenon_L229_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.73/65.95 apply (zenon_L230_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.73/65.95 apply (zenon_L232_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.73/65.95 apply (zenon_L239_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.73/65.95 apply (zenon_L240_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.73/65.95 apply (zenon_L245_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.73/65.95 apply (zenon_L247_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.73/65.95 apply (zenon_L303_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.73/65.95 apply (zenon_L263_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.73/65.95 apply (zenon_L264_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.73/65.95 apply (zenon_L266_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.73/65.95 exact (zenon_H232 zenon_H22f). % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.73/65.95 apply (zenon_L322_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.73/65.95 apply (zenon_L225_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.73/65.95 apply (zenon_L302_); trivial. % 65.73/65.95 apply (zenon_L304_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.73/65.95 apply (zenon_L323_); trivial. % 65.73/65.95 apply (zenon_L231_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.73/65.95 apply (zenon_L269_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.73/65.95 exact (zenon_H270 zenon_H289). % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.73/65.95 apply (zenon_L225_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.73/65.95 apply (zenon_L310_); trivial. % 65.73/65.95 apply (zenon_L325_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H282 | zenon_intro zenon_H2b0 ]. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.73/65.95 exact (zenon_H270 zenon_H289). % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.73/65.95 apply (zenon_L225_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.73/65.95 apply (zenon_L284_); trivial. % 65.73/65.95 apply (zenon_L325_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H20a | zenon_intro zenon_H2b1 ]. % 65.73/65.95 apply (zenon_L291_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H27e ]. % 65.73/65.95 apply (zenon_L326_); trivial. % 65.73/65.95 apply (zenon_L248_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.73/65.95 apply (zenon_L300_); trivial. % 65.73/65.95 apply (zenon_L231_); trivial. % 65.73/65.95 apply (zenon_L301_); trivial. % 65.73/65.95 (* end of lemma zenon_L327_ *) % 65.73/65.95 assert (zenon_L328_ : (~((e12) = (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H30f zenon_H1eb zenon_H351. % 65.73/65.95 cut (((e12) = (op1 (e13) (op1 (e13) (e13)))) = ((e12) = (e13))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H30f. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H1eb. % 65.73/65.95 cut (((op1 (e13) (op1 (e13) (e13))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H352]. % 65.73/65.95 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2ac]. % 65.73/65.95 congruence. % 65.73/65.95 apply zenon_H2ac. apply refl_equal. % 65.73/65.95 exact (zenon_H352 zenon_H351). % 65.73/65.95 (* end of lemma zenon_L328_ *) % 65.73/65.95 assert (zenon_L329_ : (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((e12) = (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H353 zenon_H354 zenon_H2f7 zenon_H2b4 zenon_H2fa zenon_H31d zenon_H328 zenon_H2b3 zenon_H219 zenon_H27d zenon_H2eb zenon_H212 zenon_H2aa zenon_H2f4 zenon_H2ef zenon_H20c zenon_H249 zenon_H26b zenon_H265 zenon_H25a zenon_H252 zenon_H2e4 zenon_H299 zenon_H2e2 zenon_H2a1 zenon_H29e zenon_H2e8 zenon_H2af zenon_H285 zenon_H284 zenon_H300 zenon_H293 zenon_H1fa zenon_H1f4 zenon_H1ed zenon_H227 zenon_H2df zenon_H2d8 zenon_H303 zenon_H21e zenon_H1ee zenon_H24e zenon_H329 zenon_H347 zenon_H348 zenon_H320 zenon_H342 zenon_H2c6 zenon_H272 zenon_H32c zenon_H30f zenon_H1eb. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.73/65.95 apply (zenon_L228_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.73/65.95 apply (zenon_L229_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.73/65.95 apply (zenon_L230_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.73/65.95 apply (zenon_L232_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.73/65.95 apply (zenon_L239_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.73/65.95 apply (zenon_L240_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.73/65.95 apply (zenon_L245_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.73/65.95 apply (zenon_L247_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.73/65.95 apply (zenon_L262_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.73/65.95 apply (zenon_L263_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.73/65.95 apply (zenon_L264_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.73/65.95 apply (zenon_L266_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.73/65.95 apply (zenon_L268_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.73/65.95 apply (zenon_L269_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.73/65.95 apply (zenon_L274_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H282 | zenon_intro zenon_H2b0 ]. % 65.73/65.95 apply (zenon_L286_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H20a | zenon_intro zenon_H2b1 ]. % 65.73/65.95 apply (zenon_L291_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H27e ]. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H282 | zenon_intro zenon_H356 ]. % 65.73/65.95 apply (zenon_L286_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H356); [ zenon_intro zenon_H260 | zenon_intro zenon_H357 ]. % 65.73/65.95 apply (zenon_L289_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H2fb ]. % 65.73/65.95 apply (zenon_L294_); trivial. % 65.73/65.95 apply (zenon_L295_); trivial. % 65.73/65.95 apply (zenon_L248_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.73/65.95 apply (zenon_L300_); trivial. % 65.73/65.95 apply (zenon_L231_); trivial. % 65.73/65.95 apply (zenon_L301_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.73/65.95 apply (zenon_L316_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.73/65.95 apply (zenon_L327_); trivial. % 65.73/65.95 apply (zenon_L328_); trivial. % 65.73/65.95 (* end of lemma zenon_L329_ *) % 65.73/65.95 assert (zenon_L330_ : (~((op1 (e11) (e10)) = (op1 (e11) (op1 (e11) (e12))))) -> ((op1 (e11) (e12)) = (e10)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H359 zenon_H29b. % 65.73/65.95 cut (((e10) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H29c]. % 65.73/65.95 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 65.73/65.95 congruence. % 65.73/65.95 apply zenon_H245. apply refl_equal. % 65.73/65.95 apply zenon_H29c. apply sym_equal. exact zenon_H29b. % 65.73/65.95 (* end of lemma zenon_L330_ *) % 65.73/65.95 assert (zenon_L331_ : ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H35a zenon_H29b zenon_H282 zenon_H2df. % 65.73/65.95 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ]. % 65.73/65.95 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e10) (e10)) = (op1 (e11) (e10)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H2df. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H269. % 65.73/65.95 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H26a]. % 65.73/65.95 cut (((op1 (e11) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H35b]. % 65.73/65.95 congruence. % 65.73/65.95 cut (((op1 (e11) (op1 (e11) (e12))) = (e11)) = ((op1 (e11) (e10)) = (op1 (e10) (e10)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H35b. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H35a. % 65.73/65.95 cut (((e11) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H283]. % 65.73/65.95 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H35c]. % 65.73/65.95 congruence. % 65.73/65.95 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ]. % 65.73/65.95 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e10)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H35c. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H269. % 65.73/65.95 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H26a]. % 65.73/65.95 cut (((op1 (e11) (e10)) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H359]. % 65.73/65.95 congruence. % 65.73/65.95 apply (zenon_L330_); trivial. % 65.73/65.95 apply zenon_H26a. apply refl_equal. % 65.73/65.95 apply zenon_H26a. apply refl_equal. % 65.73/65.95 apply zenon_H283. apply sym_equal. exact zenon_H282. % 65.73/65.95 apply zenon_H26a. apply refl_equal. % 65.73/65.95 apply zenon_H26a. apply refl_equal. % 65.73/65.95 (* end of lemma zenon_L331_ *) % 65.73/65.95 assert (zenon_L332_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e12) (e13)) = (e10)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H293 zenon_H1eb zenon_H236 zenon_H1ee zenon_H2df zenon_H29b zenon_H35a zenon_H270 zenon_H21e zenon_H285 zenon_H220. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H22f | zenon_intro zenon_H294 ]. % 65.73/65.95 apply (zenon_L276_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H282 | zenon_intro zenon_H295 ]. % 65.73/65.95 apply (zenon_L331_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H289 | zenon_intro zenon_H28f ]. % 65.73/65.95 exact (zenon_H270 zenon_H289). % 65.73/65.95 apply (zenon_L253_); trivial. % 65.73/65.95 (* end of lemma zenon_L332_ *) % 65.73/65.95 assert (zenon_L333_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e12) (e13)) = (e10)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H293 zenon_H301 zenon_H300 zenon_H2df zenon_H29b zenon_H35a zenon_H270 zenon_H21e zenon_H285 zenon_H220. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H22f | zenon_intro zenon_H294 ]. % 65.73/65.95 apply (zenon_L297_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H282 | zenon_intro zenon_H295 ]. % 65.73/65.95 apply (zenon_L331_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H289 | zenon_intro zenon_H28f ]. % 65.73/65.95 exact (zenon_H270 zenon_H289). % 65.73/65.95 apply (zenon_L253_); trivial. % 65.73/65.95 (* end of lemma zenon_L333_ *) % 65.73/65.95 assert (zenon_L334_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H293 zenon_H301 zenon_H300 zenon_H20d zenon_H20c zenon_H270 zenon_H21e zenon_H285. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.95 apply (zenon_L214_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.95 apply (zenon_L215_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.95 apply (zenon_L216_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H22f | zenon_intro zenon_H294 ]. % 65.73/65.95 apply (zenon_L297_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H282 | zenon_intro zenon_H295 ]. % 65.73/65.95 apply (zenon_L282_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H289 | zenon_intro zenon_H28f ]. % 65.73/65.95 exact (zenon_H270 zenon_H289). % 65.73/65.95 apply (zenon_L253_); trivial. % 65.73/65.95 (* end of lemma zenon_L334_ *) % 65.73/65.95 assert (zenon_L335_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H293 zenon_H301 zenon_H300 zenon_H2df zenon_H29b zenon_H35a zenon_H270 zenon_H21e zenon_H285. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.95 apply (zenon_L214_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.95 apply (zenon_L215_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.95 apply (zenon_L216_); trivial. % 65.73/65.95 apply (zenon_L333_); trivial. % 65.73/65.95 (* end of lemma zenon_L335_ *) % 65.73/65.95 assert (zenon_L336_ : (((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H33b zenon_H303 zenon_H2d8 zenon_H299 zenon_H2e8 zenon_H29a zenon_H29e zenon_H27d zenon_H219 zenon_H2b4 zenon_H284 zenon_H2a1 zenon_H20c zenon_H285 zenon_H21e zenon_H35a zenon_H2df zenon_H300 zenon_H293 zenon_H1fa zenon_H1f4 zenon_H1ed zenon_H227 zenon_H2e4 zenon_H1ee zenon_H1eb. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H22f | zenon_intro zenon_H304 ]. % 65.73/65.95 apply (zenon_L274_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H236 | zenon_intro zenon_H305 ]. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.95 apply (zenon_L214_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.95 apply (zenon_L215_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.95 apply (zenon_L216_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H23e | zenon_intro zenon_H2a2 ]. % 65.73/65.95 apply (zenon_L277_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a3 ]. % 65.73/65.95 apply (zenon_L332_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H1fb | zenon_intro zenon_H29f ]. % 65.73/65.95 apply (zenon_L216_); trivial. % 65.73/65.95 apply (zenon_L272_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H1ef | zenon_intro zenon_H301 ]. % 65.73/65.95 apply (zenon_L214_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H236 | zenon_intro zenon_H2e9 ]. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.95 apply (zenon_L214_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.95 apply (zenon_L215_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.95 apply (zenon_L216_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H23e | zenon_intro zenon_H2a2 ]. % 65.73/65.95 apply (zenon_L277_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a3 ]. % 65.73/65.95 apply (zenon_L333_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H1fb | zenon_intro zenon_H29f ]. % 65.73/65.95 apply (zenon_L216_); trivial. % 65.73/65.95 apply (zenon_L272_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H20d | zenon_intro zenon_H2ea ]. % 65.73/65.95 apply (zenon_L334_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H29b | zenon_intro zenon_H2e5 ]. % 65.73/65.95 apply (zenon_L335_); trivial. % 65.73/65.95 apply (zenon_L283_); trivial. % 65.73/65.95 (* end of lemma zenon_L336_ *) % 65.73/65.95 assert (zenon_L337_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H32c zenon_H26b zenon_H265 zenon_H272 zenon_H2af zenon_H249 zenon_H252 zenon_H24e zenon_H25a zenon_H2aa zenon_H2b3 zenon_H2c6 zenon_H1eb zenon_H1ee zenon_H2e4 zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1fa zenon_H293 zenon_H300 zenon_H2df zenon_H35a zenon_H21e zenon_H285 zenon_H20c zenon_H2a1 zenon_H284 zenon_H2b4 zenon_H219 zenon_H27d zenon_H29e zenon_H29a zenon_H2e8 zenon_H299 zenon_H2d8 zenon_H303. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.73/65.95 apply (zenon_L228_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.73/65.95 apply (zenon_L229_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.73/65.95 apply (zenon_L230_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.73/65.95 apply (zenon_L232_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.73/65.95 apply (zenon_L239_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.73/65.95 apply (zenon_L240_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.73/65.95 apply (zenon_L245_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.73/65.95 apply (zenon_L247_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.73/65.95 apply (zenon_L262_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.73/65.95 apply (zenon_L263_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.73/65.95 apply (zenon_L264_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.73/65.95 apply (zenon_L266_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.73/65.95 apply (zenon_L268_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.73/65.95 apply (zenon_L269_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.73/65.95 apply (zenon_L336_); trivial. % 65.73/65.95 apply (zenon_L301_); trivial. % 65.73/65.95 (* end of lemma zenon_L337_ *) % 65.73/65.95 assert (zenon_L338_ : (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H25a zenon_H25b zenon_H266 zenon_H26b zenon_H1eb zenon_H24e zenon_H252 zenon_H249 zenon_H219. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H20d | zenon_intro zenon_H25c ]. % 65.73/65.95 exact (zenon_H25b zenon_H20d). % 65.73/65.95 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H247 | zenon_intro zenon_H25d ]. % 65.73/65.95 apply (zenon_L243_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H24f | zenon_intro zenon_H253 ]. % 65.73/65.95 apply (zenon_L236_); trivial. % 65.73/65.95 apply (zenon_L237_); trivial. % 65.73/65.95 (* end of lemma zenon_L338_ *) % 65.73/65.95 assert (zenon_L339_ : (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e12) (e12)) = (e11)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H35d zenon_H314 zenon_H312 zenon_H35e. % 65.73/65.95 cut (((op1 (e11) (op1 (e11) (e13))) = (e11)) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H35d. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H314. % 65.73/65.95 cut (((e11) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35f]. % 65.73/65.95 cut (((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H319]. % 65.73/65.95 congruence. % 65.73/65.95 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H315 | zenon_intro zenon_H316 ]. % 65.73/65.95 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e12)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H319. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H315. % 65.73/65.95 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H316]. % 65.73/65.95 cut (((op1 (e11) (e12)) = (op1 (e11) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H311]. % 65.73/65.95 congruence. % 65.73/65.95 apply (zenon_L305_); trivial. % 65.73/65.95 apply zenon_H316. apply refl_equal. % 65.73/65.95 apply zenon_H316. apply refl_equal. % 65.73/65.95 apply zenon_H35f. apply sym_equal. exact zenon_H35e. % 65.73/65.95 (* end of lemma zenon_L339_ *) % 65.73/65.95 assert (zenon_L340_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H328 zenon_H2a4 zenon_H2d5. % 65.73/65.95 cut (((op1 (e10) (e13)) = (e13)) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H328. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H2a4. % 65.73/65.95 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H31c]. % 65.73/65.95 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H224]. % 65.73/65.95 congruence. % 65.73/65.95 apply zenon_H224. apply refl_equal. % 65.73/65.95 apply zenon_H31c. apply sym_equal. exact zenon_H2d5. % 65.73/65.95 (* end of lemma zenon_L340_ *) % 65.73/65.95 assert (zenon_L341_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H31d zenon_H1eb zenon_H1ee zenon_H2e4 zenon_H219 zenon_H252 zenon_H35e zenon_H314 zenon_H35d zenon_H328 zenon_H2a4. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H2e5 | zenon_intro zenon_H31e ]. % 65.73/65.95 apply (zenon_L283_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H27b | zenon_intro zenon_H31f ]. % 65.73/65.95 apply (zenon_L290_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H312 | zenon_intro zenon_H2d5 ]. % 65.73/65.95 apply (zenon_L339_); trivial. % 65.73/65.95 apply (zenon_L340_); trivial. % 65.73/65.95 (* end of lemma zenon_L341_ *) % 65.73/65.95 assert (zenon_L342_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e12)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H2b4 zenon_H21e zenon_H27d zenon_H324 zenon_H31d zenon_H1eb zenon_H1ee zenon_H2e4 zenon_H219 zenon_H252 zenon_H35e zenon_H314 zenon_H35d zenon_H328. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H240 | zenon_intro zenon_H2ba ]. % 65.73/65.95 apply (zenon_L231_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H27e | zenon_intro zenon_H2bb ]. % 65.73/65.95 apply (zenon_L248_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H297 | zenon_intro zenon_H2a4 ]. % 65.73/65.95 apply (zenon_L314_); trivial. % 65.73/65.95 apply (zenon_L341_); trivial. % 65.73/65.95 (* end of lemma zenon_L342_ *) % 65.73/65.95 assert (zenon_L343_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e13) (e12)) = (e11)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H360 zenon_H219 zenon_H361. % 65.73/65.95 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e13) (e12)) = (op1 (e13) (e13)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H360. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H219. % 65.73/65.95 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.73/65.95 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H362]. % 65.73/65.95 congruence. % 65.73/65.95 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H2c8 ]. % 65.73/65.95 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e11) = (op1 (e13) (e12)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H362. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H2c7. % 65.73/65.95 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2c8]. % 65.73/65.95 cut (((op1 (e13) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H363]. % 65.73/65.95 congruence. % 65.73/65.95 exact (zenon_H363 zenon_H361). % 65.73/65.95 apply zenon_H2c8. apply refl_equal. % 65.73/65.95 apply zenon_H2c8. apply refl_equal. % 65.73/65.95 apply zenon_H274. apply refl_equal. % 65.73/65.95 (* end of lemma zenon_L343_ *) % 65.73/65.95 assert (zenon_L344_ : (((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H2b2 zenon_H329 zenon_H212 zenon_H320 zenon_H364 zenon_H2aa zenon_H249 zenon_H24e zenon_H26b zenon_H25a zenon_H328 zenon_H35d zenon_H314 zenon_H252 zenon_H2e4 zenon_H1ee zenon_H1eb zenon_H31d zenon_H27d zenon_H21e zenon_H2b4 zenon_H360 zenon_H219. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.73/65.95 apply (zenon_L225_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.73/65.95 apply (zenon_L236_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.73/65.95 apply (zenon_L311_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H365 ]. % 65.73/65.95 apply (zenon_L260_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H266 | zenon_intro zenon_H366 ]. % 65.73/65.95 apply (zenon_L338_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H35e | zenon_intro zenon_H361 ]. % 65.73/65.95 apply (zenon_L342_); trivial. % 65.73/65.95 apply (zenon_L343_); trivial. % 65.73/65.95 (* end of lemma zenon_L344_ *) % 65.73/65.95 assert (zenon_L345_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H364 zenon_H299 zenon_H247 zenon_H249 zenon_H26b zenon_H2a4 zenon_H328 zenon_H35d zenon_H314 zenon_H252 zenon_H2e4 zenon_H1ee zenon_H1eb zenon_H31d zenon_H360 zenon_H219. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H365 ]. % 65.73/65.95 apply (zenon_L308_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H266 | zenon_intro zenon_H366 ]. % 65.73/65.95 apply (zenon_L243_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H35e | zenon_intro zenon_H361 ]. % 65.73/65.95 apply (zenon_L341_); trivial. % 65.73/65.95 apply (zenon_L343_); trivial. % 65.73/65.95 (* end of lemma zenon_L345_ *) % 65.73/65.95 assert (zenon_L346_ : (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e12) (e11)) = (e11)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H367 zenon_H249 zenon_H247 zenon_H26e. % 65.73/65.95 cut (((op1 (e11) (op1 (e11) (e11))) = (e11)) = ((op1 (e11) (e11)) = (op1 (e12) (e11)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H367. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H249. % 65.73/65.95 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H368]. % 65.73/65.95 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H24d]. % 65.73/65.95 congruence. % 65.73/65.95 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ]. % 65.73/65.95 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H24d. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H24a. % 65.73/65.95 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H24b]. % 65.73/65.95 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H246]. % 65.73/65.95 congruence. % 65.73/65.95 apply (zenon_L234_); trivial. % 65.73/65.95 apply zenon_H24b. apply refl_equal. % 65.73/65.95 apply zenon_H24b. apply refl_equal. % 65.73/65.95 apply zenon_H368. apply sym_equal. exact zenon_H26e. % 65.73/65.95 (* end of lemma zenon_L346_ *) % 65.73/65.95 assert (zenon_L347_ : (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H25a zenon_H25b zenon_H26e zenon_H367 zenon_H1eb zenon_H24e zenon_H252 zenon_H249 zenon_H219. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H20d | zenon_intro zenon_H25c ]. % 65.73/65.95 exact (zenon_H25b zenon_H20d). % 65.73/65.95 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H247 | zenon_intro zenon_H25d ]. % 65.73/65.95 apply (zenon_L346_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H24f | zenon_intro zenon_H253 ]. % 65.73/65.95 apply (zenon_L236_); trivial. % 65.73/65.95 apply (zenon_L237_); trivial. % 65.73/65.95 (* end of lemma zenon_L347_ *) % 65.73/65.95 assert (zenon_L348_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H369 zenon_H20c zenon_H360 zenon_H31d zenon_H1ee zenon_H2e4 zenon_H314 zenon_H35d zenon_H328 zenon_H2a4 zenon_H26b zenon_H299 zenon_H364 zenon_H249 zenon_H252 zenon_H24e zenon_H1eb zenon_H367 zenon_H25b zenon_H25a zenon_H272 zenon_H219. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H20a | zenon_intro zenon_H36a ]. % 65.73/65.95 apply (zenon_L238_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H247 | zenon_intro zenon_H36b ]. % 65.73/65.95 apply (zenon_L345_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H26e | zenon_intro zenon_H273 ]. % 65.73/65.95 apply (zenon_L347_); trivial. % 65.73/65.95 apply (zenon_L246_); trivial. % 65.73/65.95 (* end of lemma zenon_L348_ *) % 65.73/65.95 assert (zenon_L349_ : (((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H2cf zenon_H369 zenon_H20c zenon_H360 zenon_H31d zenon_H1ee zenon_H2e4 zenon_H314 zenon_H35d zenon_H328 zenon_H26b zenon_H299 zenon_H364 zenon_H249 zenon_H252 zenon_H24e zenon_H1eb zenon_H367 zenon_H25a zenon_H272 zenon_H219. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.73/65.95 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.73/65.95 apply (zenon_L348_); trivial. % 65.73/65.95 (* end of lemma zenon_L349_ *) % 65.73/65.95 assert (zenon_L350_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e10)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.95 do 0 intro. intros zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1fa zenon_H2df zenon_H1ee zenon_H22f zenon_H236 zenon_H1eb. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.95 apply (zenon_L214_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.95 apply (zenon_L215_); trivial. % 65.73/65.95 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.95 apply (zenon_L216_); trivial. % 65.73/65.95 apply (zenon_L276_); trivial. % 65.73/65.95 (* end of lemma zenon_L350_ *) % 65.73/65.95 assert (zenon_L351_ : (~((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e12))))) -> ((op1 (e11) (e12)) = (e11)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H36c zenon_H266. % 65.73/65.95 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H267]. % 65.73/65.95 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 65.73/65.95 congruence. % 65.73/65.95 apply zenon_H245. apply refl_equal. % 65.73/65.95 apply zenon_H267. apply sym_equal. exact zenon_H266. % 65.73/65.95 (* end of lemma zenon_L351_ *) % 65.73/65.95 assert (zenon_L352_ : (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> ((op1 (e11) (e12)) = (e11)) -> ((op1 (e12) (e11)) = (e11)) -> False). % 65.73/65.95 do 0 intro. intros zenon_H367 zenon_H35a zenon_H266 zenon_H26e. % 65.73/65.95 cut (((op1 (e11) (op1 (e11) (e12))) = (e11)) = ((op1 (e11) (e11)) = (op1 (e12) (e11)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H367. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H35a. % 65.73/65.95 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H368]. % 65.73/65.95 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H36d]. % 65.73/65.95 congruence. % 65.73/65.95 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ]. % 65.73/65.95 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e11)))). % 65.73/65.95 intro zenon_D_pnotp. % 65.73/65.95 apply zenon_H36d. % 65.73/65.95 rewrite <- zenon_D_pnotp. % 65.73/65.95 exact zenon_H24a. % 65.73/65.95 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H24b]. % 65.73/65.95 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H36c]. % 65.73/65.95 congruence. % 65.73/65.95 apply (zenon_L351_); trivial. % 65.73/65.95 apply zenon_H24b. apply refl_equal. % 65.73/65.95 apply zenon_H24b. apply refl_equal. % 65.73/65.95 apply zenon_H368. apply sym_equal. exact zenon_H26e. % 65.73/65.95 (* end of lemma zenon_L352_ *) % 65.73/65.95 assert (zenon_L353_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H364 zenon_H2aa zenon_H2a9 zenon_H26e zenon_H35a zenon_H367 zenon_H328 zenon_H35d zenon_H314 zenon_H252 zenon_H2e4 zenon_H1ee zenon_H1eb zenon_H31d zenon_H324 zenon_H27d zenon_H21e zenon_H2b4 zenon_H360 zenon_H219. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H365 ]. % 65.73/65.96 apply (zenon_L260_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H266 | zenon_intro zenon_H366 ]. % 65.73/65.96 apply (zenon_L352_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H35e | zenon_intro zenon_H361 ]. % 65.73/65.96 apply (zenon_L342_); trivial. % 65.73/65.96 apply (zenon_L343_); trivial. % 65.73/65.96 (* end of lemma zenon_L353_ *) % 65.73/65.96 assert (zenon_L354_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e12) (e13)) = (e11)) -> False). % 65.73/65.96 do 0 intro. intros zenon_H36e zenon_H219 zenon_H36f. % 65.73/65.96 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H36e. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H219. % 65.73/65.96 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.73/65.96 cut (((e11) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H370]. % 65.73/65.96 congruence. % 65.73/65.96 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H34d | zenon_intro zenon_H34e ]. % 65.73/65.96 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e11) = (op1 (e12) (e13)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H370. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H34d. % 65.73/65.96 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34e]. % 65.73/65.96 cut (((op1 (e12) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H371]. % 65.73/65.96 congruence. % 65.73/65.96 exact (zenon_H371 zenon_H36f). % 65.73/65.96 apply zenon_H34e. apply refl_equal. % 65.73/65.96 apply zenon_H34e. apply refl_equal. % 65.73/65.96 apply zenon_H274. apply refl_equal. % 65.73/65.96 (* end of lemma zenon_L354_ *) % 65.73/65.96 assert (zenon_L355_ : (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> False). % 65.73/65.96 do 0 intro. intros zenon_H2f7 zenon_H35a zenon_H29b zenon_H2f8. % 65.73/65.96 cut (((op1 (e11) (op1 (e11) (e12))) = (e11)) = ((op1 (e11) (e10)) = (op1 (e12) (e10)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H2f7. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H35a. % 65.73/65.96 cut (((e11) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f9]. % 65.73/65.96 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H35c]. % 65.73/65.96 congruence. % 65.73/65.96 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ]. % 65.73/65.96 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e10)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H35c. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H269. % 65.73/65.96 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H26a]. % 65.73/65.96 cut (((op1 (e11) (e10)) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H359]. % 65.73/65.96 congruence. % 65.73/65.96 apply (zenon_L330_); trivial. % 65.73/65.96 apply zenon_H26a. apply refl_equal. % 65.73/65.96 apply zenon_H26a. apply refl_equal. % 65.73/65.96 apply zenon_H2f9. apply sym_equal. exact zenon_H2f8. % 65.73/65.96 (* end of lemma zenon_L355_ *) % 65.73/65.96 assert (zenon_L356_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> ((op1 (e10) (e12)) = (e12)) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H372 zenon_H29b zenon_H2f7 zenon_H360 zenon_H367 zenon_H35a zenon_H2a9 zenon_H2aa zenon_H364 zenon_H328 zenon_H35d zenon_H314 zenon_H252 zenon_H2e4 zenon_H1ee zenon_H1eb zenon_H31d zenon_H324 zenon_H27d zenon_H21e zenon_H2b4 zenon_H36e zenon_H219. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H373 ]. % 65.73/65.96 apply (zenon_L355_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H26e | zenon_intro zenon_H374 ]. % 65.73/65.96 apply (zenon_L353_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H35e | zenon_intro zenon_H36f ]. % 65.73/65.96 apply (zenon_L342_); trivial. % 65.73/65.96 apply (zenon_L354_); trivial. % 65.73/65.96 (* end of lemma zenon_L356_ *) % 65.73/65.96 assert (zenon_L357_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> ((op1 (e10) (e12)) = (e12)) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H329 zenon_H212 zenon_H251 zenon_H320 zenon_H372 zenon_H29b zenon_H2f7 zenon_H360 zenon_H367 zenon_H35a zenon_H2a9 zenon_H2aa zenon_H364 zenon_H328 zenon_H35d zenon_H314 zenon_H252 zenon_H2e4 zenon_H1ee zenon_H1eb zenon_H31d zenon_H27d zenon_H21e zenon_H2b4 zenon_H36e zenon_H219. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.73/65.96 apply (zenon_L225_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.73/65.96 exact (zenon_H251 zenon_H24f). % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.73/65.96 apply (zenon_L311_); trivial. % 65.73/65.96 apply (zenon_L356_); trivial. % 65.73/65.96 (* end of lemma zenon_L357_ *) % 65.73/65.96 assert (zenon_L358_ : (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> ((op1 (e11) (e12)) = (e11)) -> False). % 65.73/65.96 do 0 intro. intros zenon_H26b zenon_H35a zenon_H266. % 65.73/65.96 cut (((op1 (e11) (op1 (e11) (e12))) = (e11)) = ((op1 (e11) (e11)) = (op1 (e11) (e12)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H26b. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H35a. % 65.73/65.96 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H267]. % 65.73/65.96 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H36d]. % 65.73/65.96 congruence. % 65.73/65.96 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ]. % 65.73/65.96 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e11)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H36d. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H24a. % 65.73/65.96 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H24b]. % 65.73/65.96 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H36c]. % 65.73/65.96 congruence. % 65.73/65.96 apply (zenon_L351_); trivial. % 65.73/65.96 apply zenon_H24b. apply refl_equal. % 65.73/65.96 apply zenon_H24b. apply refl_equal. % 65.73/65.96 apply zenon_H267. apply sym_equal. exact zenon_H266. % 65.73/65.96 (* end of lemma zenon_L358_ *) % 65.73/65.96 assert (zenon_L359_ : (((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H33b zenon_H2b3 zenon_H2e8 zenon_H36e zenon_H2aa zenon_H367 zenon_H2f7 zenon_H372 zenon_H2eb zenon_H219 zenon_H252 zenon_H26b zenon_H35a zenon_H329 zenon_H212 zenon_H320 zenon_H364 zenon_H299 zenon_H249 zenon_H328 zenon_H35d zenon_H314 zenon_H2e4 zenon_H31d zenon_H27d zenon_H2b4 zenon_H360 zenon_H25a zenon_H20c zenon_H2ef zenon_H2f4 zenon_H285 zenon_H284 zenon_H300 zenon_H293 zenon_H1fa zenon_H1f4 zenon_H1ed zenon_H227 zenon_H2df zenon_H2d8 zenon_H303 zenon_H21e zenon_H1ee zenon_H1eb. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.73/65.96 exact (zenon_H270 zenon_H289). % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.73/65.96 apply (zenon_L225_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H236 | zenon_intro zenon_H2e9 ]. % 65.73/65.96 apply (zenon_L350_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H20d | zenon_intro zenon_H2ea ]. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.73/65.96 apply (zenon_L225_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.73/65.96 exact (zenon_H251 zenon_H24f). % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.73/65.96 apply (zenon_L311_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H373 ]. % 65.73/65.96 apply (zenon_L293_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H26e | zenon_intro zenon_H374 ]. % 65.73/65.96 apply (zenon_L353_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H35e | zenon_intro zenon_H36f ]. % 65.73/65.96 apply (zenon_L342_); trivial. % 65.73/65.96 apply (zenon_L354_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H29b | zenon_intro zenon_H2e5 ]. % 65.73/65.96 apply (zenon_L357_); trivial. % 65.73/65.96 apply (zenon_L283_); trivial. % 65.73/65.96 apply (zenon_L315_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H260 | zenon_intro zenon_H2f5 ]. % 65.73/65.96 apply (zenon_L289_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H247 | zenon_intro zenon_H2f6 ]. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.73/65.96 apply (zenon_L225_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.73/65.96 exact (zenon_H251 zenon_H24f). % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.73/65.96 apply (zenon_L311_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H365 ]. % 65.73/65.96 apply (zenon_L308_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H266 | zenon_intro zenon_H366 ]. % 65.73/65.96 apply (zenon_L243_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H35e | zenon_intro zenon_H361 ]. % 65.73/65.96 apply (zenon_L342_); trivial. % 65.73/65.96 apply (zenon_L343_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H266 | zenon_intro zenon_H27b ]. % 65.73/65.96 apply (zenon_L358_); trivial. % 65.73/65.96 apply (zenon_L290_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.73/65.96 apply (zenon_L300_); trivial. % 65.73/65.96 apply (zenon_L231_); trivial. % 65.73/65.96 (* end of lemma zenon_L359_ *) % 65.73/65.96 assert (zenon_L360_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H32c zenon_H265 zenon_H2c6 zenon_H272 zenon_H24e zenon_H369 zenon_H1eb zenon_H1ee zenon_H21e zenon_H303 zenon_H2d8 zenon_H2df zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1fa zenon_H293 zenon_H300 zenon_H284 zenon_H285 zenon_H2f4 zenon_H2ef zenon_H20c zenon_H25a zenon_H360 zenon_H2b4 zenon_H27d zenon_H31d zenon_H2e4 zenon_H314 zenon_H35d zenon_H328 zenon_H249 zenon_H299 zenon_H364 zenon_H320 zenon_H212 zenon_H329 zenon_H35a zenon_H26b zenon_H252 zenon_H219 zenon_H2eb zenon_H372 zenon_H2f7 zenon_H367 zenon_H2aa zenon_H36e zenon_H2e8 zenon_H2b3. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.73/65.96 apply (zenon_L228_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.73/65.96 apply (zenon_L229_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.73/65.96 apply (zenon_L230_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.73/65.96 apply (zenon_L232_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.73/65.96 apply (zenon_L239_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.73/65.96 apply (zenon_L240_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.73/65.96 apply (zenon_L245_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.73/65.96 apply (zenon_L247_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.73/65.96 apply (zenon_L344_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.73/65.96 apply (zenon_L263_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.73/65.96 apply (zenon_L264_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.73/65.96 apply (zenon_L266_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.73/65.96 apply (zenon_L349_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.73/65.96 apply (zenon_L269_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.73/65.96 apply (zenon_L359_); trivial. % 65.73/65.96 apply (zenon_L301_); trivial. % 65.73/65.96 (* end of lemma zenon_L360_ *) % 65.73/65.96 assert (zenon_L361_ : ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H343 zenon_H220 zenon_H375 zenon_H2f7. % 65.73/65.96 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1f2 ]. % 65.73/65.96 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e11) (e10)) = (op1 (e12) (e10)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H2f7. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H1f1. % 65.73/65.96 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1f2]. % 65.73/65.96 cut (((op1 (e12) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H376]. % 65.73/65.96 congruence. % 65.73/65.96 cut (((op1 (e12) (op1 (e12) (e13))) = (e12)) = ((op1 (e12) (e10)) = (op1 (e11) (e10)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H376. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H343. % 65.73/65.96 cut (((e12) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H377]. % 65.73/65.96 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H345]. % 65.73/65.96 congruence. % 65.73/65.96 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1f2 ]. % 65.73/65.96 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e10)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H345. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H1f1. % 65.73/65.96 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1f2]. % 65.73/65.96 cut (((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H341]. % 65.73/65.96 congruence. % 65.73/65.96 apply (zenon_L319_); trivial. % 65.73/65.96 apply zenon_H1f2. apply refl_equal. % 65.73/65.96 apply zenon_H1f2. apply refl_equal. % 65.73/65.96 apply zenon_H377. apply sym_equal. exact zenon_H375. % 65.73/65.96 apply zenon_H1f2. apply refl_equal. % 65.73/65.96 apply zenon_H1f2. apply refl_equal. % 65.73/65.96 (* end of lemma zenon_L361_ *) % 65.73/65.96 assert (zenon_L362_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H343 zenon_H375 zenon_H2f7. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.96 apply (zenon_L214_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.96 apply (zenon_L215_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.96 apply (zenon_L216_); trivial. % 65.73/65.96 apply (zenon_L361_); trivial. % 65.73/65.96 (* end of lemma zenon_L362_ *) % 65.73/65.96 assert (zenon_L363_ : (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e12) (e12)) = (e11)) -> False). % 65.73/65.96 do 0 intro. intros zenon_H35d zenon_H35a zenon_H2bf zenon_H35e. % 65.73/65.96 cut (((op1 (e11) (op1 (e11) (e12))) = (e11)) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H35d. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H35a. % 65.73/65.96 cut (((e11) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35f]. % 65.73/65.96 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H378]. % 65.73/65.96 congruence. % 65.73/65.96 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H315 | zenon_intro zenon_H316 ]. % 65.73/65.96 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e12)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H378. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H315. % 65.73/65.96 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H316]. % 65.73/65.96 cut (((op1 (e11) (e12)) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H379]. % 65.73/65.96 congruence. % 65.73/65.96 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H37a]. % 65.73/65.96 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 65.73/65.96 congruence. % 65.73/65.96 apply zenon_H245. apply refl_equal. % 65.73/65.96 apply zenon_H37a. apply sym_equal. exact zenon_H2bf. % 65.73/65.96 apply zenon_H316. apply refl_equal. % 65.73/65.96 apply zenon_H316. apply refl_equal. % 65.73/65.96 apply zenon_H35f. apply sym_equal. exact zenon_H35e. % 65.73/65.96 (* end of lemma zenon_L363_ *) % 65.73/65.96 assert (zenon_L364_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H364 zenon_H2aa zenon_H2a9 zenon_H26b zenon_H2bf zenon_H35a zenon_H35d zenon_H360 zenon_H219. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H365 ]. % 65.73/65.96 apply (zenon_L260_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H266 | zenon_intro zenon_H366 ]. % 65.73/65.96 apply (zenon_L358_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H35e | zenon_intro zenon_H361 ]. % 65.73/65.96 apply (zenon_L363_); trivial. % 65.73/65.96 apply (zenon_L343_); trivial. % 65.73/65.96 (* end of lemma zenon_L364_ *) % 65.73/65.96 assert (zenon_L365_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e10) (e10)) = (e12)) -> ((op1 (e11) (e12)) = (e10)) -> False). % 65.73/65.96 do 0 intro. intros zenon_H299 zenon_H285 zenon_H289 zenon_H29b. % 65.73/65.96 cut (((op1 (e10) (op1 (e10) (e10))) = (e10)) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H299. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H285. % 65.73/65.96 cut (((e10) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H29c]. % 65.73/65.96 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H28e]. % 65.73/65.96 congruence. % 65.73/65.96 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H28b | zenon_intro zenon_H28c ]. % 65.73/65.96 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e12)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H28e. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H28b. % 65.73/65.96 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H28c]. % 65.73/65.96 cut (((op1 (e10) (e12)) = (op1 (e10) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H288]. % 65.73/65.96 congruence. % 65.73/65.96 apply (zenon_L251_); trivial. % 65.73/65.96 apply zenon_H28c. apply refl_equal. % 65.73/65.96 apply zenon_H28c. apply refl_equal. % 65.73/65.96 apply zenon_H29c. apply sym_equal. exact zenon_H29b. % 65.73/65.96 (* end of lemma zenon_L365_ *) % 65.73/65.96 assert (zenon_L366_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e12) (e13)) = (e10)) -> False). % 65.73/65.96 do 0 intro. intros zenon_H293 zenon_H232 zenon_H2df zenon_H35a zenon_H29b zenon_H299 zenon_H21e zenon_H285 zenon_H220. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H22f | zenon_intro zenon_H294 ]. % 65.73/65.96 exact (zenon_H232 zenon_H22f). % 65.73/65.96 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H282 | zenon_intro zenon_H295 ]. % 65.73/65.96 apply (zenon_L331_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H289 | zenon_intro zenon_H28f ]. % 65.73/65.96 apply (zenon_L365_); trivial. % 65.73/65.96 apply (zenon_L253_); trivial. % 65.73/65.96 (* end of lemma zenon_L366_ *) % 65.73/65.96 assert (zenon_L367_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e11)) = (e10)) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> ((op1 (e10) (e12)) = (e11)) -> (~((e12) = (e13))) -> ((op1 (e10) (e13)) = (e13)) -> False). % 65.73/65.96 do 0 intro. intros zenon_H2eb zenon_H284 zenon_H202 zenon_H285 zenon_H219 zenon_H1eb zenon_H212 zenon_H2aa zenon_H2a8 zenon_H30f zenon_H2a4. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.73/65.96 apply (zenon_L252_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.73/65.96 apply (zenon_L225_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.73/65.96 apply (zenon_L260_); trivial. % 65.73/65.96 apply (zenon_L304_); trivial. % 65.73/65.96 (* end of lemma zenon_L367_ *) % 65.73/65.96 assert (zenon_L368_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e10) (e13)) = (e13)) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H364 zenon_H2a4 zenon_H30f zenon_H2aa zenon_H212 zenon_H1eb zenon_H285 zenon_H202 zenon_H284 zenon_H2eb zenon_H247 zenon_H249 zenon_H26b zenon_H2bf zenon_H35a zenon_H35d zenon_H360 zenon_H219. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H365 ]. % 65.73/65.96 apply (zenon_L367_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H266 | zenon_intro zenon_H366 ]. % 65.73/65.96 apply (zenon_L243_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H35e | zenon_intro zenon_H361 ]. % 65.73/65.96 apply (zenon_L363_); trivial. % 65.73/65.96 apply (zenon_L343_); trivial. % 65.73/65.96 (* end of lemma zenon_L368_ *) % 65.73/65.96 assert (zenon_L369_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> ((op1 (e11) (e12)) = (e13)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H252 zenon_H35a zenon_H37b zenon_H219. % 65.73/65.96 cut (((op1 (e11) (op1 (e11) (e12))) = (e11)) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H252. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H35a. % 65.73/65.96 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H254]. % 65.73/65.96 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H37c]. % 65.73/65.96 congruence. % 65.73/65.96 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H256 | zenon_intro zenon_H257 ]. % 65.73/65.96 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e13)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H37c. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H256. % 65.73/65.96 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H257]. % 65.73/65.96 cut (((op1 (e11) (e13)) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H37d]. % 65.73/65.96 congruence. % 65.73/65.96 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H37e]. % 65.73/65.96 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 65.73/65.96 congruence. % 65.73/65.96 apply zenon_H245. apply refl_equal. % 65.73/65.96 apply zenon_H37e. apply sym_equal. exact zenon_H37b. % 65.73/65.96 apply zenon_H257. apply refl_equal. % 65.73/65.96 apply zenon_H257. apply refl_equal. % 65.73/65.96 exact (zenon_H254 zenon_H219). % 65.73/65.96 (* end of lemma zenon_L369_ *) % 65.73/65.96 assert (zenon_L370_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e11)) = (e10)) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> ((op1 (e10) (e13)) = (e13)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H37f zenon_H220 zenon_H21e zenon_H299 zenon_H2df zenon_H232 zenon_H293 zenon_H360 zenon_H35d zenon_H26b zenon_H249 zenon_H247 zenon_H2eb zenon_H284 zenon_H202 zenon_H285 zenon_H1eb zenon_H212 zenon_H2aa zenon_H30f zenon_H2a4 zenon_H364 zenon_H252 zenon_H35a zenon_H219. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H29b | zenon_intro zenon_H380 ]. % 65.73/65.96 apply (zenon_L366_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H266 | zenon_intro zenon_H381 ]. % 65.73/65.96 apply (zenon_L358_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2bf | zenon_intro zenon_H37b ]. % 65.73/65.96 apply (zenon_L368_); trivial. % 65.73/65.96 apply (zenon_L369_); trivial. % 65.73/65.96 (* end of lemma zenon_L370_ *) % 65.73/65.96 assert (zenon_L371_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e12)) = (e12)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e11)) = (e10)) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H382 zenon_H2f7 zenon_H343 zenon_H1fa zenon_H2a9 zenon_H329 zenon_H24e zenon_H320 zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1ff zenon_H2b4 zenon_H1ee zenon_H27d zenon_H328 zenon_H37f zenon_H21e zenon_H299 zenon_H2df zenon_H232 zenon_H293 zenon_H360 zenon_H35d zenon_H26b zenon_H249 zenon_H247 zenon_H2eb zenon_H284 zenon_H202 zenon_H285 zenon_H1eb zenon_H212 zenon_H2aa zenon_H30f zenon_H364 zenon_H252 zenon_H35a zenon_H219. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H375 | zenon_intro zenon_H383 ]. % 65.73/65.96 apply (zenon_L362_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H24f | zenon_intro zenon_H384 ]. % 65.73/65.96 apply (zenon_L236_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H2bf | zenon_intro zenon_H312 ]. % 65.73/65.96 apply (zenon_L364_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.73/65.96 apply (zenon_L225_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.73/65.96 apply (zenon_L236_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.73/65.96 apply (zenon_L311_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.96 apply (zenon_L214_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.96 apply (zenon_L215_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.96 exact (zenon_H1ff zenon_H1fb). % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H240 | zenon_intro zenon_H2ba ]. % 65.73/65.96 apply (zenon_L231_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H27e | zenon_intro zenon_H2bb ]. % 65.73/65.96 apply (zenon_L248_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H297 | zenon_intro zenon_H2a4 ]. % 65.73/65.96 apply (zenon_L313_); trivial. % 65.73/65.96 apply (zenon_L370_); trivial. % 65.73/65.96 (* end of lemma zenon_L371_ *) % 65.73/65.96 assert (zenon_L372_ : (((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H2b2 zenon_H2b3 zenon_H272 zenon_H367 zenon_H382 zenon_H2f7 zenon_H343 zenon_H1fa zenon_H329 zenon_H320 zenon_H227 zenon_H1ed zenon_H1f4 zenon_H2b4 zenon_H328 zenon_H37f zenon_H299 zenon_H2df zenon_H293 zenon_H360 zenon_H35d zenon_H26b zenon_H2eb zenon_H212 zenon_H30f zenon_H364 zenon_H35a zenon_H369 zenon_H219 zenon_H27d zenon_H2aa zenon_H25a zenon_H20c zenon_H24e zenon_H252 zenon_H249 zenon_H284 zenon_H285 zenon_H2af zenon_H21e zenon_H1ee zenon_H1eb. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.73/65.96 exact (zenon_H232 zenon_H22f). % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H20a | zenon_intro zenon_H36a ]. % 65.73/65.96 apply (zenon_L238_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H247 | zenon_intro zenon_H36b ]. % 65.73/65.96 apply (zenon_L371_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H26e | zenon_intro zenon_H273 ]. % 65.73/65.96 apply (zenon_L347_); trivial. % 65.73/65.96 apply (zenon_L246_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.73/65.96 apply (zenon_L261_); trivial. % 65.73/65.96 apply (zenon_L231_); trivial. % 65.73/65.96 (* end of lemma zenon_L372_ *) % 65.73/65.96 assert (zenon_L373_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e11)) = (e10)) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> ((op1 (e10) (e13)) = (e13)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H227 zenon_H1ed zenon_H1ee zenon_H1f4 zenon_H1ff zenon_H37f zenon_H21e zenon_H299 zenon_H2df zenon_H232 zenon_H293 zenon_H360 zenon_H35d zenon_H26b zenon_H249 zenon_H247 zenon_H2eb zenon_H284 zenon_H202 zenon_H285 zenon_H1eb zenon_H212 zenon_H2aa zenon_H30f zenon_H2a4 zenon_H364 zenon_H252 zenon_H35a zenon_H219. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.96 apply (zenon_L214_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.96 apply (zenon_L215_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.96 exact (zenon_H1ff zenon_H1fb). % 65.73/65.96 apply (zenon_L370_); trivial. % 65.73/65.96 (* end of lemma zenon_L373_ *) % 65.73/65.96 assert (zenon_L374_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e10) (e13)) = (e13)) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H369 zenon_H20c zenon_H35a zenon_H364 zenon_H2a4 zenon_H30f zenon_H2aa zenon_H212 zenon_H285 zenon_H202 zenon_H284 zenon_H2eb zenon_H26b zenon_H35d zenon_H360 zenon_H293 zenon_H232 zenon_H2df zenon_H299 zenon_H21e zenon_H37f zenon_H1ff zenon_H1f4 zenon_H1ee zenon_H1ed zenon_H227 zenon_H249 zenon_H252 zenon_H24e zenon_H1eb zenon_H367 zenon_H25b zenon_H25a zenon_H272 zenon_H219. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H20a | zenon_intro zenon_H36a ]. % 65.73/65.96 apply (zenon_L238_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H247 | zenon_intro zenon_H36b ]. % 65.73/65.96 apply (zenon_L373_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H26e | zenon_intro zenon_H273 ]. % 65.73/65.96 apply (zenon_L347_); trivial. % 65.73/65.96 apply (zenon_L246_); trivial. % 65.73/65.96 (* end of lemma zenon_L374_ *) % 65.73/65.96 assert (zenon_L375_ : (((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H2cf zenon_H2b3 zenon_H272 zenon_H367 zenon_H37f zenon_H299 zenon_H2df zenon_H293 zenon_H360 zenon_H35d zenon_H26b zenon_H364 zenon_H35a zenon_H369 zenon_H30f zenon_H2af zenon_H285 zenon_H284 zenon_H249 zenon_H252 zenon_H24e zenon_H20c zenon_H25a zenon_H2aa zenon_H27d zenon_H219 zenon_H212 zenon_H329 zenon_H227 zenon_H1f4 zenon_H347 zenon_H348 zenon_H320 zenon_H342 zenon_H1ed zenon_H343 zenon_H2eb zenon_H21e zenon_H1ee zenon_H1eb. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.73/65.96 exact (zenon_H232 zenon_H22f). % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.73/65.96 apply (zenon_L374_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.73/65.96 apply (zenon_L323_); trivial. % 65.73/65.96 apply (zenon_L231_); trivial. % 65.73/65.96 (* end of lemma zenon_L375_ *) % 65.73/65.96 assert (zenon_L376_ : ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H343 zenon_H33e zenon_H312 zenon_H2e4. % 65.73/65.96 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H34d | zenon_intro zenon_H34e ]. % 65.73/65.96 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H2e4. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H34d. % 65.73/65.96 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34e]. % 65.73/65.96 cut (((op1 (e12) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H385]. % 65.73/65.96 congruence. % 65.73/65.96 cut (((op1 (e12) (op1 (e12) (e13))) = (e12)) = ((op1 (e12) (e13)) = (op1 (e11) (e13)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H385. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H343. % 65.73/65.96 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H313]. % 65.73/65.96 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H350]. % 65.73/65.96 congruence. % 65.73/65.96 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H34d | zenon_intro zenon_H34e ]. % 65.73/65.96 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e13)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H350. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H34d. % 65.73/65.96 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34e]. % 65.73/65.96 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H34b]. % 65.73/65.96 congruence. % 65.73/65.96 apply (zenon_L324_); trivial. % 65.73/65.96 apply zenon_H34e. apply refl_equal. % 65.73/65.96 apply zenon_H34e. apply refl_equal. % 65.73/65.96 apply zenon_H313. apply sym_equal. exact zenon_H312. % 65.73/65.96 apply zenon_H34e. apply refl_equal. % 65.73/65.96 apply zenon_H34e. apply refl_equal. % 65.73/65.96 (* end of lemma zenon_L376_ *) % 65.73/65.96 assert (zenon_L377_ : (((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H33b zenon_H382 zenon_H2f7 zenon_H1fa zenon_H1ee zenon_H1f4 zenon_H1ed zenon_H227 zenon_H219 zenon_H360 zenon_H35d zenon_H35a zenon_H25a zenon_H265 zenon_H26b zenon_H252 zenon_H249 zenon_H2eb zenon_H1eb zenon_H212 zenon_H2aa zenon_H21e zenon_H364 zenon_H343 zenon_H2e4. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H375 | zenon_intro zenon_H383 ]. % 65.73/65.96 apply (zenon_L362_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H24f | zenon_intro zenon_H384 ]. % 65.73/65.96 exact (zenon_H251 zenon_H24f). % 65.73/65.96 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H2bf | zenon_intro zenon_H312 ]. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H365 ]. % 65.73/65.96 apply (zenon_L326_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H266 | zenon_intro zenon_H366 ]. % 65.73/65.96 apply (zenon_L244_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H35e | zenon_intro zenon_H361 ]. % 65.73/65.96 apply (zenon_L363_); trivial. % 65.73/65.96 apply (zenon_L343_); trivial. % 65.73/65.96 apply (zenon_L376_); trivial. % 65.73/65.96 (* end of lemma zenon_L377_ *) % 65.73/65.96 assert (zenon_L378_ : (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((e12) = (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H353 zenon_H29e zenon_H2a1 zenon_H2e8 zenon_H36e zenon_H372 zenon_H31d zenon_H2ef zenon_H2f4 zenon_H300 zenon_H2d8 zenon_H303 zenon_H382 zenon_H2f7 zenon_H1fa zenon_H1ee zenon_H1f4 zenon_H1ed zenon_H227 zenon_H219 zenon_H360 zenon_H35d zenon_H35a zenon_H25a zenon_H265 zenon_H26b zenon_H252 zenon_H249 zenon_H2eb zenon_H212 zenon_H2aa zenon_H21e zenon_H364 zenon_H2e4 zenon_H2b3 zenon_H272 zenon_H367 zenon_H37f zenon_H299 zenon_H2df zenon_H293 zenon_H369 zenon_H2af zenon_H285 zenon_H284 zenon_H24e zenon_H20c zenon_H27d zenon_H329 zenon_H347 zenon_H348 zenon_H320 zenon_H342 zenon_H2c6 zenon_H2b4 zenon_H328 zenon_H32c zenon_H30f zenon_H1eb. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.73/65.96 apply (zenon_L337_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.73/65.96 apply (zenon_L360_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.73/65.96 apply (zenon_L228_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.73/65.96 apply (zenon_L229_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.73/65.96 apply (zenon_L230_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.73/65.96 apply (zenon_L232_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.73/65.96 apply (zenon_L239_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.73/65.96 apply (zenon_L240_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.73/65.96 apply (zenon_L245_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.73/65.96 apply (zenon_L247_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.73/65.96 apply (zenon_L372_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.73/65.96 apply (zenon_L263_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.73/65.96 apply (zenon_L264_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.73/65.96 apply (zenon_L266_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.73/65.96 apply (zenon_L375_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.73/65.96 apply (zenon_L269_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.73/65.96 apply (zenon_L377_); trivial. % 65.73/65.96 apply (zenon_L301_); trivial. % 65.73/65.96 apply (zenon_L328_); trivial. % 65.73/65.96 (* end of lemma zenon_L378_ *) % 65.73/65.96 assert (zenon_L379_ : (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> False). % 65.73/65.96 do 0 intro. intros zenon_H320 zenon_H386 zenon_H35e zenon_H324. % 65.73/65.96 cut (((op1 (e12) (op1 (e12) (e12))) = (e12)) = ((op1 (e12) (e11)) = (op1 (e13) (e11)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H320. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H386. % 65.73/65.96 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H387]. % 65.73/65.96 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H388]. % 65.73/65.96 congruence. % 65.73/65.96 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H1f8 ]. % 65.73/65.96 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e11)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H388. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H1f7. % 65.73/65.96 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1f8]. % 65.73/65.96 cut (((op1 (e12) (e11)) = (op1 (e12) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H389]. % 65.73/65.96 congruence. % 65.73/65.96 cut (((e11) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35f]. % 65.73/65.96 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2ac]. % 65.73/65.96 congruence. % 65.73/65.96 apply zenon_H2ac. apply refl_equal. % 65.73/65.96 apply zenon_H35f. apply sym_equal. exact zenon_H35e. % 65.73/65.96 apply zenon_H1f8. apply refl_equal. % 65.73/65.96 apply zenon_H1f8. apply refl_equal. % 65.73/65.96 apply zenon_H387. apply sym_equal. exact zenon_H324. % 65.73/65.96 (* end of lemma zenon_L379_ *) % 65.73/65.96 assert (zenon_L380_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H329 zenon_H212 zenon_H1eb zenon_H364 zenon_H2aa zenon_H2a9 zenon_H249 zenon_H252 zenon_H251 zenon_H26b zenon_H265 zenon_H25a zenon_H386 zenon_H320 zenon_H360 zenon_H219. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.73/65.96 apply (zenon_L225_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.73/65.96 exact (zenon_H251 zenon_H24f). % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.73/65.96 apply (zenon_L311_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H365 ]. % 65.73/65.96 apply (zenon_L260_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H266 | zenon_intro zenon_H366 ]. % 65.73/65.96 apply (zenon_L244_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H35e | zenon_intro zenon_H361 ]. % 65.73/65.96 apply (zenon_L379_); trivial. % 65.73/65.96 apply (zenon_L343_); trivial. % 65.73/65.96 (* end of lemma zenon_L380_ *) % 65.73/65.96 assert (zenon_L381_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> False). % 65.73/65.96 do 0 intro. intros zenon_H227 zenon_H1ed zenon_H1f4 zenon_H2a1 zenon_H22f zenon_H285 zenon_H2d8 zenon_H297 zenon_H299 zenon_H1fa zenon_H2b4 zenon_H1eb zenon_H1ee zenon_H219 zenon_H27d zenon_H29e zenon_H21e zenon_H29a. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.96 apply (zenon_L214_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.96 apply (zenon_L215_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.96 apply (zenon_L216_); trivial. % 65.73/65.96 apply (zenon_L273_); trivial. % 65.73/65.96 (* end of lemma zenon_L381_ *) % 65.73/65.96 assert (zenon_L382_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> False). % 65.73/65.96 do 0 intro. intros zenon_H2eb zenon_H270 zenon_H360 zenon_H320 zenon_H386 zenon_H25a zenon_H265 zenon_H26b zenon_H251 zenon_H252 zenon_H249 zenon_H2aa zenon_H364 zenon_H212 zenon_H329 zenon_H227 zenon_H1ed zenon_H1f4 zenon_H2a1 zenon_H22f zenon_H285 zenon_H2d8 zenon_H299 zenon_H1fa zenon_H2b4 zenon_H1eb zenon_H1ee zenon_H219 zenon_H27d zenon_H29e zenon_H21e zenon_H29a. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.73/65.96 exact (zenon_H270 zenon_H289). % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.73/65.96 apply (zenon_L225_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.73/65.96 apply (zenon_L380_); trivial. % 65.73/65.96 apply (zenon_L381_); trivial. % 65.73/65.96 (* end of lemma zenon_L382_ *) % 65.73/65.96 assert (zenon_L383_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> False). % 65.73/65.96 do 0 intro. intros zenon_H2eb zenon_H360 zenon_H320 zenon_H386 zenon_H25a zenon_H265 zenon_H26b zenon_H251 zenon_H252 zenon_H249 zenon_H2aa zenon_H364 zenon_H212 zenon_H329 zenon_H227 zenon_H1ed zenon_H1f4 zenon_H2a1 zenon_H285 zenon_H270 zenon_H284 zenon_H2df zenon_H236 zenon_H293 zenon_H299 zenon_H1fa zenon_H2b4 zenon_H1eb zenon_H1ee zenon_H219 zenon_H27d zenon_H29e zenon_H21e zenon_H29a. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.73/65.96 exact (zenon_H270 zenon_H289). % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.73/65.96 apply (zenon_L225_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.73/65.96 apply (zenon_L380_); trivial. % 65.73/65.96 apply (zenon_L285_); trivial. % 65.73/65.96 (* end of lemma zenon_L383_ *) % 65.73/65.96 assert (zenon_L384_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e11)) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H2e8 zenon_H21e zenon_H29e zenon_H27d zenon_H219 zenon_H2b4 zenon_H1fa zenon_H293 zenon_H2df zenon_H284 zenon_H270 zenon_H2a1 zenon_H1f4 zenon_H1ed zenon_H227 zenon_H329 zenon_H212 zenon_H364 zenon_H2aa zenon_H249 zenon_H252 zenon_H251 zenon_H26b zenon_H265 zenon_H25a zenon_H386 zenon_H320 zenon_H360 zenon_H2eb zenon_H282 zenon_H285 zenon_H20c zenon_H297 zenon_H29a zenon_H299 zenon_H2e4 zenon_H1ee zenon_H1eb. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H236 | zenon_intro zenon_H2e9 ]. % 65.73/65.96 apply (zenon_L383_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H20d | zenon_intro zenon_H2ea ]. % 65.73/65.96 apply (zenon_L282_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H29b | zenon_intro zenon_H2e5 ]. % 65.73/65.96 apply (zenon_L256_); trivial. % 65.73/65.96 apply (zenon_L283_); trivial. % 65.73/65.96 (* end of lemma zenon_L384_ *) % 65.73/65.96 assert (zenon_L385_ : (((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H33b zenon_H2b3 zenon_H219 zenon_H27d zenon_H354 zenon_H360 zenon_H320 zenon_H386 zenon_H265 zenon_H26b zenon_H364 zenon_H329 zenon_H252 zenon_H2ef zenon_H20c zenon_H25a zenon_H2e4 zenon_H299 zenon_H29a zenon_H2f7 zenon_H249 zenon_H2eb zenon_H212 zenon_H2aa zenon_H2a1 zenon_H2b4 zenon_H29e zenon_H2e8 zenon_H2fa zenon_H2f4 zenon_H2af zenon_H285 zenon_H284 zenon_H300 zenon_H293 zenon_H1fa zenon_H1f4 zenon_H1ed zenon_H227 zenon_H2df zenon_H2d8 zenon_H303 zenon_H21e zenon_H1ee zenon_H1eb. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.73/65.96 apply (zenon_L382_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H282 | zenon_intro zenon_H2b0 ]. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.73/65.96 exact (zenon_H270 zenon_H289). % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.73/65.96 apply (zenon_L225_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.73/65.96 apply (zenon_L380_); trivial. % 65.73/65.96 apply (zenon_L384_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H20a | zenon_intro zenon_H2b1 ]. % 65.73/65.96 apply (zenon_L291_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H27e ]. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H282 | zenon_intro zenon_H356 ]. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.73/65.96 exact (zenon_H270 zenon_H289). % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.73/65.96 apply (zenon_L225_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.73/65.96 apply (zenon_L260_); trivial. % 65.73/65.96 apply (zenon_L384_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H356); [ zenon_intro zenon_H260 | zenon_intro zenon_H357 ]. % 65.73/65.96 apply (zenon_L289_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H2fb ]. % 65.73/65.96 apply (zenon_L294_); trivial. % 65.73/65.96 apply (zenon_L295_); trivial. % 65.73/65.96 apply (zenon_L248_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.73/65.96 apply (zenon_L300_); trivial. % 65.73/65.96 apply (zenon_L231_); trivial. % 65.73/65.96 (* end of lemma zenon_L385_ *) % 65.73/65.96 assert (zenon_L386_ : (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H38a zenon_H1eb zenon_H38b zenon_H219. % 65.73/65.96 cut (((e12) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H38a. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H1eb. % 65.73/65.96 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H218]. % 65.73/65.96 cut (((e12) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H38c]. % 65.73/65.96 congruence. % 65.73/65.96 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H2fd | zenon_intro zenon_H2fe ]. % 65.73/65.96 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e12) = (op1 (e13) (e10)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H38c. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H2fd. % 65.73/65.96 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fe]. % 65.73/65.96 cut (((op1 (e13) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H38d]. % 65.73/65.96 congruence. % 65.73/65.96 exact (zenon_H38d zenon_H38b). % 65.73/65.96 apply zenon_H2fe. apply refl_equal. % 65.73/65.96 apply zenon_H2fe. apply refl_equal. % 65.73/65.96 apply (zenon_L224_); trivial. % 65.73/65.96 (* end of lemma zenon_L386_ *) % 65.73/65.96 assert (zenon_L387_ : ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H1eb zenon_H38e zenon_H219 zenon_H272. % 65.73/65.96 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H38f | zenon_intro zenon_H274 ]. % 65.73/65.96 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (e11)) = (op1 (e13) (e13)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H272. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H38f. % 65.73/65.96 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.73/65.96 cut (((op1 (e13) (e13)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H390]. % 65.73/65.96 congruence. % 65.73/65.96 cut (((e12) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e13) (e13)) = (op1 (e13) (e11)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H390. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H1eb. % 65.73/65.96 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H218]. % 65.73/65.96 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H391]. % 65.73/65.96 congruence. % 65.73/65.96 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H38f | zenon_intro zenon_H274 ]. % 65.73/65.96 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((e12) = (op1 (e13) (e13)))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H391. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H38f. % 65.73/65.96 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.73/65.96 cut (((op1 (e13) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2c3]. % 65.73/65.96 congruence. % 65.73/65.96 exact (zenon_H2c3 zenon_H38e). % 65.73/65.96 apply zenon_H274. apply refl_equal. % 65.73/65.96 apply zenon_H274. apply refl_equal. % 65.73/65.96 apply (zenon_L224_); trivial. % 65.73/65.96 apply zenon_H274. apply refl_equal. % 65.73/65.96 apply zenon_H274. apply refl_equal. % 65.73/65.96 (* end of lemma zenon_L387_ *) % 65.73/65.96 assert (zenon_L388_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H392 zenon_H38a zenon_H35e zenon_H386 zenon_H320 zenon_H2c6 zenon_H1eb zenon_H219 zenon_H272. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H38b | zenon_intro zenon_H393 ]. % 65.73/65.96 apply (zenon_L386_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H324 | zenon_intro zenon_H394 ]. % 65.73/65.96 apply (zenon_L379_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H38e ]. % 65.73/65.96 apply (zenon_L265_); trivial. % 65.73/65.96 apply (zenon_L387_); trivial. % 65.73/65.96 (* end of lemma zenon_L388_ *) % 65.73/65.96 assert (zenon_L389_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H364 zenon_H2aa zenon_H2a9 zenon_H247 zenon_H249 zenon_H26b zenon_H272 zenon_H1eb zenon_H2c6 zenon_H320 zenon_H386 zenon_H38a zenon_H392 zenon_H360 zenon_H219. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H365 ]. % 65.73/65.96 apply (zenon_L260_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H266 | zenon_intro zenon_H366 ]. % 65.73/65.96 apply (zenon_L243_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H35e | zenon_intro zenon_H361 ]. % 65.73/65.96 apply (zenon_L388_); trivial. % 65.73/65.96 apply (zenon_L343_); trivial. % 65.73/65.96 (* end of lemma zenon_L389_ *) % 65.73/65.96 assert (zenon_L390_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H369 zenon_H20c zenon_H360 zenon_H392 zenon_H38a zenon_H386 zenon_H320 zenon_H2c6 zenon_H26b zenon_H2a9 zenon_H2aa zenon_H364 zenon_H249 zenon_H252 zenon_H24e zenon_H1eb zenon_H367 zenon_H25b zenon_H25a zenon_H272 zenon_H219. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H20a | zenon_intro zenon_H36a ]. % 65.73/65.96 apply (zenon_L238_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H247 | zenon_intro zenon_H36b ]. % 65.73/65.96 apply (zenon_L389_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H26e | zenon_intro zenon_H273 ]. % 65.73/65.96 apply (zenon_L347_); trivial. % 65.73/65.96 apply (zenon_L246_); trivial. % 65.73/65.96 (* end of lemma zenon_L390_ *) % 65.73/65.96 assert (zenon_L391_ : (((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H2b2 zenon_H369 zenon_H20c zenon_H360 zenon_H392 zenon_H38a zenon_H386 zenon_H320 zenon_H2c6 zenon_H26b zenon_H2aa zenon_H364 zenon_H249 zenon_H252 zenon_H24e zenon_H1eb zenon_H367 zenon_H25a zenon_H272 zenon_H219. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.73/65.96 apply (zenon_L390_); trivial. % 65.73/65.96 (* end of lemma zenon_L391_ *) % 65.73/65.96 assert (zenon_L392_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H32c zenon_H1ed zenon_H21e zenon_H2af zenon_H285 zenon_H284 zenon_H24e zenon_H20c zenon_H27d zenon_H2eb zenon_H272 zenon_H367 zenon_H2aa zenon_H2c6 zenon_H38a zenon_H392 zenon_H369 zenon_H30f zenon_H2b3 zenon_H219 zenon_H360 zenon_H320 zenon_H386 zenon_H25a zenon_H265 zenon_H26b zenon_H252 zenon_H249 zenon_H31d zenon_H1eb zenon_H1ee zenon_H2e4 zenon_H299 zenon_H314 zenon_H364 zenon_H212 zenon_H329. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.73/65.96 apply (zenon_L228_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.73/65.96 apply (zenon_L229_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.73/65.96 apply (zenon_L230_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.73/65.96 apply (zenon_L232_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.73/65.96 apply (zenon_L239_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.73/65.96 apply (zenon_L240_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.73/65.96 apply (zenon_L245_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.73/65.96 apply (zenon_L247_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.73/65.96 apply (zenon_L391_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.73/65.96 apply (zenon_L263_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.73/65.96 apply (zenon_L264_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.73/65.96 apply (zenon_L266_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.73/65.96 exact (zenon_H232 zenon_H22f). % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.73/65.96 apply (zenon_L252_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.73/65.96 apply (zenon_L225_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.73/65.96 apply (zenon_L390_); trivial. % 65.73/65.96 apply (zenon_L304_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.73/65.96 apply (zenon_L309_); trivial. % 65.73/65.96 apply (zenon_L231_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.73/65.96 apply (zenon_L269_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.73/65.96 apply (zenon_L225_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.73/65.96 exact (zenon_H251 zenon_H24f). % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.73/65.96 apply (zenon_L311_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H365 ]. % 65.73/65.96 apply (zenon_L308_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H266 | zenon_intro zenon_H366 ]. % 65.73/65.96 apply (zenon_L244_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H35e | zenon_intro zenon_H361 ]. % 65.73/65.96 apply (zenon_L379_); trivial. % 65.73/65.96 apply (zenon_L343_); trivial. % 65.73/65.96 apply (zenon_L301_); trivial. % 65.73/65.96 (* end of lemma zenon_L392_ *) % 65.73/65.96 assert (zenon_L393_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H32c zenon_H30f zenon_H369 zenon_H20c zenon_H392 zenon_H38a zenon_H2c6 zenon_H24e zenon_H367 zenon_H272 zenon_H227 zenon_H1ee zenon_H1f4 zenon_H347 zenon_H348 zenon_H342 zenon_H1ed zenon_H21e zenon_H343 zenon_H329 zenon_H212 zenon_H1eb zenon_H364 zenon_H2aa zenon_H249 zenon_H252 zenon_H26b zenon_H265 zenon_H25a zenon_H386 zenon_H320 zenon_H360 zenon_H219 zenon_H2eb. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.73/65.96 apply (zenon_L228_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.73/65.96 apply (zenon_L229_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.73/65.96 apply (zenon_L230_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.73/65.96 apply (zenon_L232_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.73/65.96 apply (zenon_L239_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.73/65.96 apply (zenon_L240_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.73/65.96 apply (zenon_L245_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.73/65.96 apply (zenon_L247_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.73/65.96 apply (zenon_L391_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.73/65.96 apply (zenon_L263_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.73/65.96 apply (zenon_L264_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.73/65.96 apply (zenon_L266_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.73/65.96 apply (zenon_L322_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.73/65.96 apply (zenon_L225_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.73/65.96 apply (zenon_L390_); trivial. % 65.73/65.96 apply (zenon_L304_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.73/65.96 apply (zenon_L269_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.73/65.96 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.73/65.96 exact (zenon_H270 zenon_H289). % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.73/65.96 apply (zenon_L225_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.73/65.96 apply (zenon_L380_); trivial. % 65.73/65.96 apply (zenon_L325_); trivial. % 65.73/65.96 apply (zenon_L301_); trivial. % 65.73/65.96 (* end of lemma zenon_L393_ *) % 65.73/65.96 assert (zenon_L394_ : (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((e12) = (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H353 zenon_H354 zenon_H2ef zenon_H2f7 zenon_H2a1 zenon_H2b4 zenon_H29e zenon_H2e8 zenon_H2fa zenon_H2f4 zenon_H300 zenon_H293 zenon_H1fa zenon_H2df zenon_H2d8 zenon_H303 zenon_H299 zenon_H2e4 zenon_H31d zenon_H2b3 zenon_H27d zenon_H284 zenon_H285 zenon_H2af zenon_H2eb zenon_H219 zenon_H360 zenon_H320 zenon_H386 zenon_H25a zenon_H265 zenon_H26b zenon_H252 zenon_H249 zenon_H2aa zenon_H364 zenon_H212 zenon_H329 zenon_H21e zenon_H1ed zenon_H342 zenon_H348 zenon_H347 zenon_H1f4 zenon_H1ee zenon_H227 zenon_H272 zenon_H367 zenon_H24e zenon_H2c6 zenon_H38a zenon_H392 zenon_H20c zenon_H369 zenon_H32c zenon_H30f zenon_H1eb. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.73/65.96 apply (zenon_L228_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.73/65.96 apply (zenon_L229_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.73/65.96 apply (zenon_L230_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.73/65.96 apply (zenon_L232_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.73/65.96 apply (zenon_L239_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.73/65.96 apply (zenon_L240_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.73/65.96 apply (zenon_L245_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.73/65.96 apply (zenon_L247_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.73/65.96 apply (zenon_L262_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.73/65.96 apply (zenon_L263_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.73/65.96 apply (zenon_L264_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.73/65.96 apply (zenon_L266_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.73/65.96 apply (zenon_L268_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.73/65.96 apply (zenon_L269_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.73/65.96 apply (zenon_L385_); trivial. % 65.73/65.96 apply (zenon_L301_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.73/65.96 apply (zenon_L392_); trivial. % 65.73/65.96 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.73/65.96 apply (zenon_L393_); trivial. % 65.73/65.96 apply (zenon_L328_); trivial. % 65.73/65.96 (* end of lemma zenon_L394_ *) % 65.73/65.96 assert (zenon_L395_ : (~((h4 (e10)) = (e20))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> False). % 65.73/65.96 do 0 intro. intros zenon_H395 zenon_H396 zenon_H29. % 65.73/65.96 cut (((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((h4 (e10)) = (e20))). % 65.73/65.96 intro zenon_D_pnotp. % 65.73/65.96 apply zenon_H395. % 65.73/65.96 rewrite <- zenon_D_pnotp. % 65.73/65.96 exact zenon_H396. % 65.73/65.96 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H397]. % 65.73/65.96 cut (((h4 (e10)) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H398]. % 65.73/65.96 congruence. % 65.73/65.96 apply zenon_H398. apply refl_equal. % 65.73/65.96 apply zenon_H397. apply sym_equal. exact zenon_H29. % 65.73/65.96 (* end of lemma zenon_L395_ *) % 65.73/65.96 assert (zenon_L396_ : (~((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((op1 (e10) (e10)) = (e11)) -> ((op2 (e20) (e20)) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H399 zenon_H39a zenon_H282 zenon_H13a zenon_H19 zenon_H396 zenon_H29. % 65.73/65.97 cut (((h4 (e11)) = (op2 (e23) (e23))) = ((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H399. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H39a. % 65.73/65.97 cut (((op2 (e23) (e23)) = (op2 (h4 (e10)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H39b]. % 65.73/65.97 cut (((h4 (e11)) = (h4 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H39c]. % 65.73/65.97 congruence. % 65.73/65.97 elim (classic ((h4 (op1 (e10) (e10))) = (h4 (op1 (e10) (e10))))); [ zenon_intro zenon_H39d | zenon_intro zenon_H39e ]. % 65.73/65.97 cut (((h4 (op1 (e10) (e10))) = (h4 (op1 (e10) (e10)))) = ((h4 (e11)) = (h4 (op1 (e10) (e10))))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H39c. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H39d. % 65.73/65.97 cut (((h4 (op1 (e10) (e10))) = (h4 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H39e]. % 65.73/65.97 cut (((h4 (op1 (e10) (e10))) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H39f]. % 65.73/65.97 congruence. % 65.73/65.97 cut (((op1 (e10) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 65.73/65.97 congruence. % 65.73/65.97 exact (zenon_H238 zenon_H282). % 65.73/65.97 apply zenon_H39e. apply refl_equal. % 65.73/65.97 apply zenon_H39e. apply refl_equal. % 65.73/65.97 elim (classic ((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10))))); [ zenon_intro zenon_H3a0 | zenon_intro zenon_H3a1 ]. % 65.73/65.97 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10)))) = ((op2 (e23) (e23)) = (op2 (h4 (e10)) (h4 (e10))))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H39b. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H3a0. % 65.73/65.97 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a1]. % 65.73/65.97 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3a2]. % 65.73/65.97 congruence. % 65.73/65.97 cut (((op2 (e20) (e20)) = (e21)) = ((op2 (h4 (e10)) (h4 (e10))) = (op2 (e23) (e23)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3a2. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H13a. % 65.73/65.97 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 65.73/65.97 cut (((op2 (e20) (e20)) = (op2 (h4 (e10)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a3]. % 65.73/65.97 congruence. % 65.73/65.97 elim (classic ((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10))))); [ zenon_intro zenon_H3a0 | zenon_intro zenon_H3a1 ]. % 65.73/65.97 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10)))) = ((op2 (e20) (e20)) = (op2 (h4 (e10)) (h4 (e10))))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3a3. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H3a0. % 65.73/65.97 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a1]. % 65.73/65.97 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3a4]. % 65.73/65.97 congruence. % 65.73/65.97 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H395]. % 65.73/65.97 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H395]. % 65.73/65.97 congruence. % 65.73/65.97 apply (zenon_L395_); trivial. % 65.73/65.97 apply (zenon_L395_); trivial. % 65.73/65.97 apply zenon_H3a1. apply refl_equal. % 65.73/65.97 apply zenon_H3a1. apply refl_equal. % 65.73/65.97 exact (zenon_H10b zenon_H19). % 65.73/65.97 apply zenon_H3a1. apply refl_equal. % 65.73/65.97 apply zenon_H3a1. apply refl_equal. % 65.73/65.97 (* end of lemma zenon_L396_ *) % 65.73/65.97 assert (zenon_L397_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e20)) = (e21)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H2af zenon_H29 zenon_H396 zenon_H19 zenon_H13a zenon_H39a zenon_H399 zenon_H249 zenon_H252 zenon_H24e zenon_H1eb zenon_H20c zenon_H25b zenon_H25a zenon_H2aa zenon_H2a9 zenon_H27d zenon_H219. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H282 | zenon_intro zenon_H2b0 ]. % 65.73/65.97 apply (zenon_L396_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H20a | zenon_intro zenon_H2b1 ]. % 65.73/65.97 apply (zenon_L238_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H27e ]. % 65.73/65.97 apply (zenon_L260_); trivial. % 65.73/65.97 apply (zenon_L248_); trivial. % 65.73/65.97 (* end of lemma zenon_L397_ *) % 65.73/65.97 assert (zenon_L398_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e10) (e10)) = (e12)) -> ((op1 (e13) (e12)) = (e10)) -> False). % 65.73/65.97 do 0 intro. intros zenon_H29e zenon_H285 zenon_H289 zenon_H29f. % 65.73/65.97 cut (((op1 (e10) (op1 (e10) (e10))) = (e10)) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H29e. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H285. % 65.73/65.97 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2a0]. % 65.73/65.97 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H28e]. % 65.73/65.97 congruence. % 65.73/65.97 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H28b | zenon_intro zenon_H28c ]. % 65.73/65.97 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e12)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H28e. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H28b. % 65.73/65.97 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H28c]. % 65.73/65.97 cut (((op1 (e10) (e12)) = (op1 (e10) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H288]. % 65.73/65.97 congruence. % 65.73/65.97 apply (zenon_L251_); trivial. % 65.73/65.97 apply zenon_H28c. apply refl_equal. % 65.73/65.97 apply zenon_H28c. apply refl_equal. % 65.73/65.97 apply zenon_H2a0. apply sym_equal. exact zenon_H29f. % 65.73/65.97 (* end of lemma zenon_L398_ *) % 65.73/65.97 assert (zenon_L399_ : (~((op1 (e13) (e13)) = (op1 (e13) (op1 (e13) (e12))))) -> ((op1 (e13) (e12)) = (e13)) -> False). % 65.73/65.97 do 0 intro. intros zenon_H3a5 zenon_H33d. % 65.73/65.97 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3a6]. % 65.73/65.97 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 65.73/65.97 congruence. % 65.73/65.97 apply zenon_H1e9. apply refl_equal. % 65.73/65.97 apply zenon_H3a6. apply sym_equal. exact zenon_H33d. % 65.73/65.97 (* end of lemma zenon_L399_ *) % 65.73/65.97 assert (zenon_L400_ : ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H3a7 zenon_H33d zenon_H2a4 zenon_H27d. % 65.73/65.97 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H38f | zenon_intro zenon_H274 ]. % 65.73/65.97 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H27d. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H38f. % 65.73/65.97 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.73/65.97 cut (((op1 (e13) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3a8]. % 65.73/65.97 congruence. % 65.73/65.97 cut (((op1 (e13) (op1 (e13) (e12))) = (e13)) = ((op1 (e13) (e13)) = (op1 (e10) (e13)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3a8. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H3a7. % 65.73/65.97 cut (((e13) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2a7]. % 65.73/65.97 cut (((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3a9]. % 65.73/65.97 congruence. % 65.73/65.97 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H38f | zenon_intro zenon_H274 ]. % 65.73/65.97 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (e13)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3a9. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H38f. % 65.73/65.97 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.73/65.97 cut (((op1 (e13) (e13)) = (op1 (e13) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3a5]. % 65.73/65.97 congruence. % 65.73/65.97 apply (zenon_L399_); trivial. % 65.73/65.97 apply zenon_H274. apply refl_equal. % 65.73/65.97 apply zenon_H274. apply refl_equal. % 65.73/65.97 apply zenon_H2a7. apply sym_equal. exact zenon_H2a4. % 65.73/65.97 apply zenon_H274. apply refl_equal. % 65.73/65.97 apply zenon_H274. apply refl_equal. % 65.73/65.97 (* end of lemma zenon_L400_ *) % 65.73/65.97 assert (zenon_L401_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e10)) = (e12)) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H3aa zenon_H289 zenon_H285 zenon_H29e zenon_H360 zenon_H2c6 zenon_H219 zenon_H1eb zenon_H3a7 zenon_H2a4 zenon_H27d. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H29f | zenon_intro zenon_H3ab ]. % 65.73/65.97 apply (zenon_L398_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H361 | zenon_intro zenon_H3ac ]. % 65.73/65.97 apply (zenon_L343_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H3ac); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H33d ]. % 65.73/65.97 apply (zenon_L265_); trivial. % 65.73/65.97 apply (zenon_L400_); trivial. % 65.73/65.97 (* end of lemma zenon_L401_ *) % 65.73/65.97 assert (zenon_L402_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> False). % 65.73/65.97 do 0 intro. intros zenon_H227 zenon_H1ed zenon_H1ee zenon_H1f4 zenon_H1ff zenon_H293 zenon_H232 zenon_H23e zenon_H284 zenon_H27d zenon_H2a4 zenon_H3a7 zenon_H1eb zenon_H219 zenon_H2c6 zenon_H360 zenon_H29e zenon_H3aa zenon_H21e zenon_H285. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.97 apply (zenon_L214_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.97 apply (zenon_L215_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.97 exact (zenon_H1ff zenon_H1fb). % 65.73/65.97 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H22f | zenon_intro zenon_H294 ]. % 65.73/65.97 exact (zenon_H232 zenon_H22f). % 65.73/65.97 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H282 | zenon_intro zenon_H295 ]. % 65.73/65.97 apply (zenon_L250_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H289 | zenon_intro zenon_H28f ]. % 65.73/65.97 apply (zenon_L401_); trivial. % 65.73/65.97 apply (zenon_L253_); trivial. % 65.73/65.97 (* end of lemma zenon_L402_ *) % 65.73/65.97 assert (zenon_L403_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((op2 (e20) (e20)) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H2b3 zenon_H2eb zenon_H212 zenon_H2aa zenon_H30f zenon_H25a zenon_H25b zenon_H20c zenon_H24e zenon_H252 zenon_H249 zenon_H399 zenon_H39a zenon_H13a zenon_H19 zenon_H396 zenon_H29 zenon_H2af zenon_H285 zenon_H3aa zenon_H29e zenon_H360 zenon_H2c6 zenon_H219 zenon_H3a7 zenon_H2a4 zenon_H27d zenon_H284 zenon_H232 zenon_H293 zenon_H1ff zenon_H1f4 zenon_H1ed zenon_H227 zenon_H21e zenon_H1ee zenon_H1eb. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.73/65.97 exact (zenon_H232 zenon_H22f). % 65.73/65.97 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H282 | zenon_intro zenon_H2b0 ]. % 65.73/65.97 apply (zenon_L396_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H20a | zenon_intro zenon_H2b1 ]. % 65.73/65.97 apply (zenon_L238_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H27e ]. % 65.73/65.97 apply (zenon_L367_); trivial. % 65.73/65.97 apply (zenon_L248_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.73/65.97 apply (zenon_L402_); trivial. % 65.73/65.97 apply (zenon_L231_); trivial. % 65.73/65.97 (* end of lemma zenon_L403_ *) % 65.73/65.97 assert (zenon_L404_ : ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H3a7 zenon_H33d zenon_H33e zenon_H36e. % 65.73/65.97 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H38f | zenon_intro zenon_H274 ]. % 65.73/65.97 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H36e. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H38f. % 65.73/65.97 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.73/65.97 cut (((op1 (e13) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3ad]. % 65.73/65.97 congruence. % 65.73/65.97 cut (((op1 (e13) (op1 (e13) (e12))) = (e13)) = ((op1 (e13) (e13)) = (op1 (e12) (e13)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3ad. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H3a7. % 65.73/65.97 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34c]. % 65.73/65.97 cut (((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3a9]. % 65.73/65.97 congruence. % 65.73/65.97 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H38f | zenon_intro zenon_H274 ]. % 65.73/65.97 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (e13)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3a9. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H38f. % 65.73/65.97 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.73/65.97 cut (((op1 (e13) (e13)) = (op1 (e13) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3a5]. % 65.73/65.97 congruence. % 65.73/65.97 apply (zenon_L399_); trivial. % 65.73/65.97 apply zenon_H274. apply refl_equal. % 65.73/65.97 apply zenon_H274. apply refl_equal. % 65.73/65.97 apply zenon_H34c. apply sym_equal. exact zenon_H33e. % 65.73/65.97 apply zenon_H274. apply refl_equal. % 65.73/65.97 apply zenon_H274. apply refl_equal. % 65.73/65.97 (* end of lemma zenon_L404_ *) % 65.73/65.97 assert (zenon_L405_ : (((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H33b zenon_H3a7 zenon_H36e. % 65.73/65.97 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.73/65.97 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.73/65.97 apply (zenon_L404_); trivial. % 65.73/65.97 (* end of lemma zenon_L405_ *) % 65.73/65.97 assert (zenon_L406_ : (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e12)) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> False). % 65.73/65.97 do 0 intro. intros zenon_H320 zenon_H3ae zenon_H26e zenon_H324. % 65.73/65.97 cut (((op1 (e12) (op1 (e12) (e11))) = (e12)) = ((op1 (e12) (e11)) = (op1 (e13) (e11)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H320. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H3ae. % 65.73/65.97 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H387]. % 65.73/65.97 cut (((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3af]. % 65.73/65.97 congruence. % 65.73/65.97 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H1f8 ]. % 65.73/65.97 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e11)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3af. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H1f7. % 65.73/65.97 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1f8]. % 65.73/65.97 cut (((op1 (e12) (e11)) = (op1 (e12) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3b0]. % 65.73/65.97 congruence. % 65.73/65.97 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H368]. % 65.73/65.97 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2ac]. % 65.73/65.97 congruence. % 65.73/65.97 apply zenon_H2ac. apply refl_equal. % 65.73/65.97 apply zenon_H368. apply sym_equal. exact zenon_H26e. % 65.73/65.97 apply zenon_H1f8. apply refl_equal. % 65.73/65.97 apply zenon_H1f8. apply refl_equal. % 65.73/65.97 apply zenon_H387. apply sym_equal. exact zenon_H324. % 65.73/65.97 (* end of lemma zenon_L406_ *) % 65.73/65.97 assert (zenon_L407_ : (~((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e11))))) -> ((op1 (e12) (e11)) = (e13)) -> False). % 65.73/65.97 do 0 intro. intros zenon_H3b1 zenon_H3b2. % 65.73/65.97 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3b3]. % 65.73/65.97 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2ac]. % 65.73/65.97 congruence. % 65.73/65.97 apply zenon_H2ac. apply refl_equal. % 65.73/65.97 apply zenon_H3b3. apply sym_equal. exact zenon_H3b2. % 65.73/65.97 (* end of lemma zenon_L407_ *) % 65.73/65.97 assert (zenon_L408_ : (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e11)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H3b4 zenon_H1ee zenon_H1f4 zenon_H324 zenon_H219 zenon_H1eb zenon_H320 zenon_H3ae zenon_H297 zenon_H21e. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H3b4); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H3b5 ]. % 65.73/65.97 apply (zenon_L215_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H3b5); [ zenon_intro zenon_H26e | zenon_intro zenon_H3b6 ]. % 65.73/65.97 apply (zenon_L406_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_H2be | zenon_intro zenon_H3b2 ]. % 65.73/65.97 apply (zenon_L311_); trivial. % 65.73/65.97 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H34d | zenon_intro zenon_H34e ]. % 65.73/65.97 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H21e. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H34d. % 65.73/65.97 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34e]. % 65.73/65.97 cut (((op1 (e12) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34f]. % 65.73/65.97 congruence. % 65.73/65.97 cut (((op1 (e12) (op1 (e12) (e11))) = (e12)) = ((op1 (e12) (e13)) = (op1 (e10) (e13)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H34f. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H3ae. % 65.73/65.97 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H298]. % 65.73/65.97 cut (((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3b7]. % 65.73/65.97 congruence. % 65.73/65.97 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H34d | zenon_intro zenon_H34e ]. % 65.73/65.97 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e13)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3b7. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H34d. % 65.73/65.97 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34e]. % 65.73/65.97 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3b1]. % 65.73/65.97 congruence. % 65.73/65.97 apply (zenon_L407_); trivial. % 65.73/65.97 apply zenon_H34e. apply refl_equal. % 65.73/65.97 apply zenon_H34e. apply refl_equal. % 65.73/65.97 apply zenon_H298. apply sym_equal. exact zenon_H297. % 65.73/65.97 apply zenon_H34e. apply refl_equal. % 65.73/65.97 apply zenon_H34e. apply refl_equal. % 65.73/65.97 (* end of lemma zenon_L408_ *) % 65.73/65.97 assert (zenon_L409_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> ((op1 (e12) (e13)) = (e10)) -> False). % 65.73/65.97 do 0 intro. intros zenon_H2b4 zenon_H27d zenon_H3ae zenon_H320 zenon_H1eb zenon_H219 zenon_H324 zenon_H1f4 zenon_H1ee zenon_H3b4 zenon_H21e zenon_H29a zenon_H220. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H240 | zenon_intro zenon_H2ba ]. % 65.73/65.97 apply (zenon_L231_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H27e | zenon_intro zenon_H2bb ]. % 65.73/65.97 apply (zenon_L248_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H297 | zenon_intro zenon_H2a4 ]. % 65.73/65.97 apply (zenon_L408_); trivial. % 65.73/65.97 apply (zenon_L259_); trivial. % 65.73/65.97 (* end of lemma zenon_L409_ *) % 65.73/65.97 assert (zenon_L410_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H392 zenon_H38a zenon_H220 zenon_H29a zenon_H21e zenon_H3b4 zenon_H1ee zenon_H1f4 zenon_H320 zenon_H3ae zenon_H27d zenon_H2b4 zenon_H2c6 zenon_H1eb zenon_H219 zenon_H272. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H38b | zenon_intro zenon_H393 ]. % 65.73/65.97 apply (zenon_L386_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H324 | zenon_intro zenon_H394 ]. % 65.73/65.97 apply (zenon_L409_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H38e ]. % 65.73/65.97 apply (zenon_L265_); trivial. % 65.73/65.97 apply (zenon_L387_); trivial. % 65.73/65.97 (* end of lemma zenon_L410_ *) % 65.73/65.97 assert (zenon_L411_ : (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e11)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e12)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H3b4 zenon_H1ee zenon_H1f4 zenon_H324 zenon_H219 zenon_H1eb zenon_H320 zenon_H3ae zenon_H312 zenon_H2e4. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H3b4); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H3b5 ]. % 65.73/65.97 apply (zenon_L215_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H3b5); [ zenon_intro zenon_H26e | zenon_intro zenon_H3b6 ]. % 65.73/65.97 apply (zenon_L406_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_H2be | zenon_intro zenon_H3b2 ]. % 65.73/65.97 apply (zenon_L311_); trivial. % 65.73/65.97 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H34d | zenon_intro zenon_H34e ]. % 65.73/65.97 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H2e4. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H34d. % 65.73/65.97 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34e]. % 65.73/65.97 cut (((op1 (e12) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H385]. % 65.73/65.97 congruence. % 65.73/65.97 cut (((op1 (e12) (op1 (e12) (e11))) = (e12)) = ((op1 (e12) (e13)) = (op1 (e11) (e13)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H385. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H3ae. % 65.73/65.97 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H313]. % 65.73/65.97 cut (((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3b7]. % 65.73/65.97 congruence. % 65.73/65.97 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H34d | zenon_intro zenon_H34e ]. % 65.73/65.97 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e13)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3b7. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H34d. % 65.73/65.97 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34e]. % 65.73/65.97 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3b1]. % 65.73/65.97 congruence. % 65.73/65.97 apply (zenon_L407_); trivial. % 65.73/65.97 apply zenon_H34e. apply refl_equal. % 65.73/65.97 apply zenon_H34e. apply refl_equal. % 65.73/65.97 apply zenon_H313. apply sym_equal. exact zenon_H312. % 65.73/65.97 apply zenon_H34e. apply refl_equal. % 65.73/65.97 apply zenon_H34e. apply refl_equal. % 65.73/65.97 (* end of lemma zenon_L411_ *) % 65.73/65.97 assert (zenon_L412_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H31d zenon_H2e4 zenon_H3ae zenon_H320 zenon_H1eb zenon_H324 zenon_H1f4 zenon_H1ee zenon_H3b4 zenon_H252 zenon_H314 zenon_H219. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H2e5 | zenon_intro zenon_H31e ]. % 65.73/65.97 apply (zenon_L283_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H27b | zenon_intro zenon_H31f ]. % 65.73/65.97 apply (zenon_L290_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H312 | zenon_intro zenon_H2d5 ]. % 65.73/65.97 apply (zenon_L411_); trivial. % 65.73/65.97 apply (zenon_L307_); trivial. % 65.73/65.97 (* end of lemma zenon_L412_ *) % 65.73/65.97 assert (zenon_L413_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H3b8 zenon_H21e zenon_H2e4 zenon_H3ae zenon_H320 zenon_H324 zenon_H1f4 zenon_H1ee zenon_H3b4 zenon_H220 zenon_H343 zenon_H1ed zenon_H1eb zenon_H219 zenon_H272. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_H297 | zenon_intro zenon_H3b9 ]. % 65.73/65.97 apply (zenon_L408_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_H312 | zenon_intro zenon_H3ba ]. % 65.73/65.97 apply (zenon_L411_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H3ba); [ zenon_intro zenon_H2ce | zenon_intro zenon_H38e ]. % 65.73/65.97 apply (zenon_L321_); trivial. % 65.73/65.97 apply (zenon_L387_); trivial. % 65.73/65.97 (* end of lemma zenon_L413_ *) % 65.73/65.97 assert (zenon_L414_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> ((op1 (e12) (e13)) = (e10)) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H392 zenon_H38a zenon_H1ed zenon_H343 zenon_H220 zenon_H3b4 zenon_H1ee zenon_H1f4 zenon_H320 zenon_H3ae zenon_H2e4 zenon_H21e zenon_H3b8 zenon_H2c6 zenon_H1eb zenon_H219 zenon_H272. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H38b | zenon_intro zenon_H393 ]. % 65.73/65.97 apply (zenon_L386_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H324 | zenon_intro zenon_H394 ]. % 65.73/65.97 apply (zenon_L413_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H38e ]. % 65.73/65.97 apply (zenon_L265_); trivial. % 65.73/65.97 apply (zenon_L387_); trivial. % 65.73/65.97 (* end of lemma zenon_L414_ *) % 65.73/65.97 assert (zenon_L415_ : (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e12) = (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H353 zenon_H2b4 zenon_H27d zenon_H31d zenon_H252 zenon_H272 zenon_H219 zenon_H2c6 zenon_H3b8 zenon_H21e zenon_H2e4 zenon_H3ae zenon_H320 zenon_H1f4 zenon_H1ee zenon_H3b4 zenon_H1ed zenon_H38a zenon_H392 zenon_H1fa zenon_H227 zenon_H30f zenon_H1eb. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.97 apply (zenon_L214_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.97 apply (zenon_L215_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.97 apply (zenon_L216_); trivial. % 65.73/65.97 apply (zenon_L410_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H38b | zenon_intro zenon_H393 ]. % 65.73/65.97 apply (zenon_L386_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H324 | zenon_intro zenon_H394 ]. % 65.73/65.97 apply (zenon_L412_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H38e ]. % 65.73/65.97 apply (zenon_L265_); trivial. % 65.73/65.97 apply (zenon_L387_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.97 apply (zenon_L214_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.97 apply (zenon_L215_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.97 apply (zenon_L216_); trivial. % 65.73/65.97 apply (zenon_L414_); trivial. % 65.73/65.97 apply (zenon_L328_); trivial. % 65.73/65.97 (* end of lemma zenon_L415_ *) % 65.73/65.97 assert (zenon_L416_ : (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> False). % 65.73/65.97 do 0 intro. intros zenon_H284 zenon_H20a zenon_H2a8. % 65.73/65.97 cut (((op1 (e10) (e11)) = (e11)) = ((op1 (e10) (e11)) = (op1 (e10) (e12)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H284. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H20a. % 65.73/65.97 cut (((e11) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H318]. % 65.73/65.97 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H211]. % 65.73/65.97 congruence. % 65.73/65.97 apply zenon_H211. apply refl_equal. % 65.73/65.97 apply zenon_H318. apply sym_equal. exact zenon_H2a8. % 65.73/65.97 (* end of lemma zenon_L416_ *) % 65.73/65.97 assert (zenon_L417_ : (~((op1 (e13) (e12)) = (op1 (e13) (op1 (e13) (e11))))) -> ((op1 (e13) (e11)) = (e12)) -> False). % 65.73/65.97 do 0 intro. intros zenon_H3bb zenon_H324. % 65.73/65.97 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H387]. % 65.73/65.97 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 65.73/65.97 congruence. % 65.73/65.97 apply zenon_H1e9. apply refl_equal. % 65.73/65.97 apply zenon_H387. apply sym_equal. exact zenon_H324. % 65.73/65.97 (* end of lemma zenon_L417_ *) % 65.73/65.97 assert (zenon_L418_ : ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H3bc zenon_H324 zenon_H3bd zenon_H29e. % 65.73/65.97 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H2c8 ]. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H29e. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H2c7. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2c8]. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3be]. % 65.73/65.97 congruence. % 65.73/65.97 cut (((op1 (e13) (op1 (e13) (e11))) = (e13)) = ((op1 (e13) (e12)) = (op1 (e10) (e12)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3be. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H3bc. % 65.73/65.97 cut (((e13) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3bf]. % 65.73/65.97 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3c0]. % 65.73/65.97 congruence. % 65.73/65.97 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H2c8 ]. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e12)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3c0. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H2c7. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2c8]. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3bb]. % 65.73/65.97 congruence. % 65.73/65.97 apply (zenon_L417_); trivial. % 65.73/65.97 apply zenon_H2c8. apply refl_equal. % 65.73/65.97 apply zenon_H2c8. apply refl_equal. % 65.73/65.97 apply zenon_H3bf. apply sym_equal. exact zenon_H3bd. % 65.73/65.97 apply zenon_H2c8. apply refl_equal. % 65.73/65.97 apply zenon_H2c8. apply refl_equal. % 65.73/65.97 (* end of lemma zenon_L418_ *) % 65.73/65.97 assert (zenon_L419_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e10) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H3c1 zenon_H282 zenon_H20a zenon_H2e2 zenon_H1ff zenon_H299 zenon_H293 zenon_H232 zenon_H284 zenon_H202 zenon_H21e zenon_H285 zenon_H2a1 zenon_H1f4 zenon_H1ee zenon_H1eb zenon_H1ed zenon_H227 zenon_H3bc zenon_H324 zenon_H29e. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H23e | zenon_intro zenon_H3c2 ]. % 65.73/65.97 apply (zenon_L250_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H3c2); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H3c3 ]. % 65.73/65.97 apply (zenon_L416_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H3c3); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H3bd ]. % 65.73/65.97 apply (zenon_L302_); trivial. % 65.73/65.97 apply (zenon_L418_); trivial. % 65.73/65.97 (* end of lemma zenon_L419_ *) % 65.73/65.97 assert (zenon_L420_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H392 zenon_H38a zenon_H29e zenon_H3bd zenon_H3bc zenon_H2c6 zenon_H1eb zenon_H219 zenon_H272. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H38b | zenon_intro zenon_H393 ]. % 65.73/65.97 apply (zenon_L386_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H324 | zenon_intro zenon_H394 ]. % 65.73/65.97 apply (zenon_L418_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H38e ]. % 65.73/65.97 apply (zenon_L265_); trivial. % 65.73/65.97 apply (zenon_L387_); trivial. % 65.73/65.97 (* end of lemma zenon_L420_ *) % 65.73/65.97 assert (zenon_L421_ : ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H3bc zenon_H324 zenon_H37b zenon_H3c4. % 65.73/65.97 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H2c8 ]. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3c4. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H2c7. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2c8]. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3c5]. % 65.73/65.97 congruence. % 65.73/65.97 cut (((op1 (e13) (op1 (e13) (e11))) = (e13)) = ((op1 (e13) (e12)) = (op1 (e11) (e12)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3c5. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H3bc. % 65.73/65.97 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H37e]. % 65.73/65.97 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3c0]. % 65.73/65.97 congruence. % 65.73/65.97 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H2c8 ]. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e12)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3c0. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H2c7. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2c8]. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3bb]. % 65.73/65.97 congruence. % 65.73/65.97 apply (zenon_L417_); trivial. % 65.73/65.97 apply zenon_H2c8. apply refl_equal. % 65.73/65.97 apply zenon_H2c8. apply refl_equal. % 65.73/65.97 apply zenon_H37e. apply sym_equal. exact zenon_H37b. % 65.73/65.97 apply zenon_H2c8. apply refl_equal. % 65.73/65.97 apply zenon_H2c8. apply refl_equal. % 65.73/65.97 (* end of lemma zenon_L421_ *) % 65.73/65.97 assert (zenon_L422_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H392 zenon_H38a zenon_H3c4 zenon_H37b zenon_H3bc zenon_H2c6 zenon_H1eb zenon_H219 zenon_H272. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H38b | zenon_intro zenon_H393 ]. % 65.73/65.97 apply (zenon_L386_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H324 | zenon_intro zenon_H394 ]. % 65.73/65.97 apply (zenon_L421_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H38e ]. % 65.73/65.97 apply (zenon_L265_); trivial. % 65.73/65.97 apply (zenon_L387_); trivial. % 65.73/65.97 (* end of lemma zenon_L422_ *) % 65.73/65.97 assert (zenon_L423_ : ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H3bc zenon_H324 zenon_H3c6 zenon_H3c7. % 65.73/65.97 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H2c8 ]. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3c7. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H2c7. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2c8]. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3c8]. % 65.73/65.97 congruence. % 65.73/65.97 cut (((op1 (e13) (op1 (e13) (e11))) = (e13)) = ((op1 (e13) (e12)) = (op1 (e12) (e12)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3c8. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H3bc. % 65.73/65.97 cut (((e13) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3c9]. % 65.73/65.97 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3c0]. % 65.73/65.97 congruence. % 65.73/65.97 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H2c8 ]. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e12)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3c0. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H2c7. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2c8]. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3bb]. % 65.73/65.97 congruence. % 65.73/65.97 apply (zenon_L417_); trivial. % 65.73/65.97 apply zenon_H2c8. apply refl_equal. % 65.73/65.97 apply zenon_H2c8. apply refl_equal. % 65.73/65.97 apply zenon_H3c9. apply sym_equal. exact zenon_H3c6. % 65.73/65.97 apply zenon_H2c8. apply refl_equal. % 65.73/65.97 apply zenon_H2c8. apply refl_equal. % 65.73/65.97 (* end of lemma zenon_L423_ *) % 65.73/65.97 assert (zenon_L424_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H392 zenon_H38a zenon_H3c7 zenon_H3c6 zenon_H3bc zenon_H2c6 zenon_H1eb zenon_H219 zenon_H272. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H38b | zenon_intro zenon_H393 ]. % 65.73/65.97 apply (zenon_L386_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H324 | zenon_intro zenon_H394 ]. % 65.73/65.97 apply (zenon_L423_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H38e ]. % 65.73/65.97 apply (zenon_L265_); trivial. % 65.73/65.97 apply (zenon_L387_); trivial. % 65.73/65.97 (* end of lemma zenon_L424_ *) % 65.73/65.97 assert (zenon_L425_ : (~((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e11))))) -> ((op1 (e13) (e11)) = (e10)) -> False). % 65.73/65.97 do 0 intro. intros zenon_H3ca zenon_H213. % 65.73/65.97 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H214]. % 65.73/65.97 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 65.73/65.97 congruence. % 65.73/65.97 apply zenon_H1e9. apply refl_equal. % 65.73/65.97 apply zenon_H214. apply sym_equal. exact zenon_H213. % 65.73/65.97 (* end of lemma zenon_L425_ *) % 65.73/65.97 assert (zenon_L426_ : (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 65.73/65.97 do 0 intro. intros zenon_H3cb zenon_H3bc zenon_H213 zenon_H33d. % 65.73/65.97 cut (((op1 (e13) (op1 (e13) (e11))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3cb. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H3bc. % 65.73/65.97 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3a6]. % 65.73/65.97 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3cc]. % 65.73/65.97 congruence. % 65.73/65.97 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H2fd | zenon_intro zenon_H2fe ]. % 65.73/65.97 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e10)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3cc. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H2fd. % 65.73/65.97 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fe]. % 65.73/65.97 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3ca]. % 65.73/65.97 congruence. % 65.73/65.97 apply (zenon_L425_); trivial. % 65.73/65.97 apply zenon_H2fe. apply refl_equal. % 65.73/65.97 apply zenon_H2fe. apply refl_equal. % 65.73/65.97 apply zenon_H3a6. apply sym_equal. exact zenon_H33d. % 65.73/65.97 (* end of lemma zenon_L426_ *) % 65.73/65.97 assert (zenon_L427_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> ((op1 (e13) (e11)) = (e10)) -> False). % 65.73/65.97 do 0 intro. intros zenon_H3cd zenon_H29e zenon_H3c4 zenon_H272 zenon_H219 zenon_H1eb zenon_H2c6 zenon_H3c7 zenon_H38a zenon_H392 zenon_H3cb zenon_H3bc zenon_H213. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H3cd); [ zenon_intro zenon_H3bd | zenon_intro zenon_H3ce ]. % 65.73/65.97 apply (zenon_L420_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H3ce); [ zenon_intro zenon_H37b | zenon_intro zenon_H3cf ]. % 65.73/65.97 apply (zenon_L422_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H3cf); [ zenon_intro zenon_H3c6 | zenon_intro zenon_H33d ]. % 65.73/65.97 apply (zenon_L424_); trivial. % 65.73/65.97 apply (zenon_L426_); trivial. % 65.73/65.97 (* end of lemma zenon_L427_ *) % 65.73/65.97 assert (zenon_L428_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (e10))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> False). % 65.73/65.97 do 0 intro. intros zenon_H215 zenon_H285 zenon_H21e zenon_H284 zenon_H23e zenon_H232 zenon_H293 zenon_H1ff zenon_H1ed zenon_H227 zenon_H25b zenon_H1ee zenon_H1f4 zenon_H3cd zenon_H29e zenon_H3c4 zenon_H272 zenon_H219 zenon_H1eb zenon_H2c6 zenon_H3c7 zenon_H38a zenon_H392 zenon_H3cb zenon_H3bc. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H202 | zenon_intro zenon_H216 ]. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.97 apply (zenon_L214_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.97 apply (zenon_L215_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.97 exact (zenon_H1ff zenon_H1fb). % 65.73/65.97 apply (zenon_L254_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H20d | zenon_intro zenon_H217 ]. % 65.73/65.97 exact (zenon_H25b zenon_H20d). % 65.73/65.97 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H213 ]. % 65.73/65.97 apply (zenon_L215_); trivial. % 65.73/65.97 apply (zenon_L427_); trivial. % 65.73/65.97 (* end of lemma zenon_L428_ *) % 65.73/65.97 assert (zenon_L429_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H25e zenon_H2b3 zenon_H3c1 zenon_H2e2 zenon_H299 zenon_H2a1 zenon_H320 zenon_H24e zenon_H212 zenon_H329 zenon_H3bc zenon_H3cb zenon_H392 zenon_H38a zenon_H3c7 zenon_H2c6 zenon_H219 zenon_H272 zenon_H3c4 zenon_H29e zenon_H3cd zenon_H1f4 zenon_H227 zenon_H1ed zenon_H293 zenon_H284 zenon_H285 zenon_H215 zenon_H21e zenon_H1ee zenon_H1eb. % 65.73/65.97 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H260. zenon_intro zenon_H25f. % 65.73/65.97 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H20a. zenon_intro zenon_H230. % 65.73/65.97 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.73/65.97 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.73/65.97 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.73/65.97 exact (zenon_H232 zenon_H22f). % 65.73/65.97 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.73/65.97 apply (zenon_L225_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.73/65.97 apply (zenon_L236_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.73/65.97 apply (zenon_L311_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.97 apply (zenon_L214_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.97 apply (zenon_L215_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.97 exact (zenon_H1ff zenon_H1fb). % 65.73/65.97 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H22f | zenon_intro zenon_H294 ]. % 65.73/65.97 exact (zenon_H232 zenon_H22f). % 65.73/65.97 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H282 | zenon_intro zenon_H295 ]. % 65.73/65.97 apply (zenon_L419_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H289 | zenon_intro zenon_H28f ]. % 65.73/65.97 apply (zenon_L252_); trivial. % 65.73/65.97 apply (zenon_L253_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.73/65.97 apply (zenon_L428_); trivial. % 65.73/65.97 apply (zenon_L231_); trivial. % 65.73/65.97 (* end of lemma zenon_L429_ *) % 65.73/65.97 assert (zenon_L430_ : (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> False). % 65.73/65.97 do 0 intro. intros zenon_H3d0 zenon_H26e zenon_H35e. % 65.73/65.97 cut (((op1 (e12) (e11)) = (e11)) = ((op1 (e12) (e11)) = (op1 (e12) (e12)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3d0. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H26e. % 65.73/65.97 cut (((e11) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35f]. % 65.73/65.97 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1f8]. % 65.73/65.97 congruence. % 65.73/65.97 apply zenon_H1f8. apply refl_equal. % 65.73/65.97 apply zenon_H35f. apply sym_equal. exact zenon_H35e. % 65.73/65.97 (* end of lemma zenon_L430_ *) % 65.73/65.97 assert (zenon_L431_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (e12))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H329 zenon_H212 zenon_H251 zenon_H219 zenon_H320 zenon_H3d1 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H26e zenon_H3d0 zenon_H2c4 zenon_H3bc zenon_H3c7. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.73/65.97 apply (zenon_L225_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.73/65.97 exact (zenon_H251 zenon_H24f). % 65.73/65.97 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.73/65.97 apply (zenon_L311_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H3d1); [ zenon_intro zenon_H1fb | zenon_intro zenon_H3d2 ]. % 65.73/65.97 apply (zenon_L216_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H3d2); [ zenon_intro zenon_H35e | zenon_intro zenon_H3d3 ]. % 65.73/65.97 apply (zenon_L430_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H3d3); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H3c6 ]. % 65.73/65.97 exact (zenon_H2c4 zenon_H2c2). % 65.73/65.97 apply (zenon_L423_); trivial. % 65.73/65.97 (* end of lemma zenon_L431_ *) % 65.73/65.97 assert (zenon_L432_ : (((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H26c zenon_H329 zenon_H212 zenon_H219 zenon_H320 zenon_H3d1 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H3d0 zenon_H3bc zenon_H3c7. % 65.73/65.97 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H266. zenon_intro zenon_H26d. % 65.73/65.97 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H26e. zenon_intro zenon_H23f. % 65.73/65.97 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.73/65.97 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.73/65.97 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 65.73/65.97 apply (zenon_L431_); trivial. % 65.73/65.97 (* end of lemma zenon_L432_ *) % 65.73/65.97 assert (zenon_L433_ : (((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H2b2 zenon_H2b3 zenon_H2e2 zenon_H299 zenon_H2a1 zenon_H3bc zenon_H3cb zenon_H392 zenon_H38a zenon_H3c7 zenon_H2c6 zenon_H219 zenon_H272 zenon_H3c4 zenon_H29e zenon_H3cd zenon_H1f4 zenon_H227 zenon_H1ed zenon_H293 zenon_H284 zenon_H285 zenon_H215 zenon_H21e zenon_H1ee zenon_H1eb. % 65.73/65.97 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.73/65.97 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.73/65.97 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.73/65.97 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.73/65.97 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.73/65.97 exact (zenon_H232 zenon_H22f). % 65.73/65.97 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.73/65.97 apply (zenon_L302_); trivial. % 65.73/65.97 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.73/65.97 apply (zenon_L428_); trivial. % 65.73/65.97 apply (zenon_L231_); trivial. % 65.73/65.97 (* end of lemma zenon_L433_ *) % 65.73/65.97 assert (zenon_L434_ : ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False). % 65.73/65.97 do 0 intro. intros zenon_H3bc zenon_H324 zenon_H2d1 zenon_H3cb. % 65.73/65.97 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H2c8 ]. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3cb. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H2c7. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2c8]. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3d4]. % 65.73/65.97 congruence. % 65.73/65.97 cut (((op1 (e13) (op1 (e13) (e11))) = (e13)) = ((op1 (e13) (e12)) = (op1 (e13) (e10)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3d4. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H3bc. % 65.73/65.97 cut (((e13) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3d5]. % 65.73/65.97 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3c0]. % 65.73/65.97 congruence. % 65.73/65.97 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H2c8 ]. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e12)))). % 65.73/65.97 intro zenon_D_pnotp. % 65.73/65.97 apply zenon_H3c0. % 65.73/65.97 rewrite <- zenon_D_pnotp. % 65.73/65.97 exact zenon_H2c7. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2c8]. % 65.73/65.97 cut (((op1 (e13) (e12)) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3bb]. % 65.73/65.97 congruence. % 65.73/65.97 apply (zenon_L417_); trivial. % 65.73/65.98 apply zenon_H2c8. apply refl_equal. % 65.73/65.98 apply zenon_H2c8. apply refl_equal. % 65.73/65.98 apply zenon_H3d5. apply sym_equal. exact zenon_H2d1. % 65.73/65.98 apply zenon_H2c8. apply refl_equal. % 65.73/65.98 apply zenon_H2c8. apply refl_equal. % 65.73/65.98 (* end of lemma zenon_L434_ *) % 65.73/65.98 assert (zenon_L435_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H392 zenon_H38a zenon_H3cb zenon_H2d1 zenon_H3bc zenon_H2c6 zenon_H1eb zenon_H219 zenon_H272. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H38b | zenon_intro zenon_H393 ]. % 65.73/65.98 apply (zenon_L386_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H324 | zenon_intro zenon_H394 ]. % 65.73/65.98 apply (zenon_L434_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H38e ]. % 65.73/65.98 apply (zenon_L265_); trivial. % 65.73/65.98 apply (zenon_L387_); trivial. % 65.73/65.98 (* end of lemma zenon_L435_ *) % 65.73/65.98 assert (zenon_L436_ : (((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H2cf zenon_H392 zenon_H38a zenon_H3cb zenon_H3bc zenon_H2c6 zenon_H1eb zenon_H219 zenon_H272. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.73/65.98 apply (zenon_L435_); trivial. % 65.73/65.98 (* end of lemma zenon_L436_ *) % 65.73/65.98 assert (zenon_L437_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H3d6 zenon_H220 zenon_H285 zenon_H21e zenon_H270 zenon_H284 zenon_H23e zenon_H300 zenon_H293 zenon_H2fa zenon_H219 zenon_H1eb zenon_H38a zenon_H3bc zenon_H324 zenon_H3cb. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3d6); [ zenon_intro zenon_H301 | zenon_intro zenon_H3d7 ]. % 65.73/65.98 apply (zenon_L298_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3d7); [ zenon_intro zenon_H2fb | zenon_intro zenon_H3d8 ]. % 65.73/65.98 apply (zenon_L295_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3d8); [ zenon_intro zenon_H38b | zenon_intro zenon_H2d1 ]. % 65.73/65.98 apply (zenon_L386_); trivial. % 65.73/65.98 apply (zenon_L434_); trivial. % 65.73/65.98 (* end of lemma zenon_L437_ *) % 65.73/65.98 assert (zenon_L438_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e12) (e13)) = (e10)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> ((op1 (e10) (e12)) = (e12)) -> False). % 65.73/65.98 do 0 intro. intros zenon_H2a1 zenon_H3cb zenon_H324 zenon_H3bc zenon_H38a zenon_H219 zenon_H2fa zenon_H293 zenon_H300 zenon_H284 zenon_H270 zenon_H21e zenon_H285 zenon_H220 zenon_H3d6 zenon_H299 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H29e zenon_H2e2 zenon_H2a9. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H23e | zenon_intro zenon_H2a2 ]. % 65.73/65.98 apply (zenon_L437_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a3 ]. % 65.73/65.98 apply (zenon_L279_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H1fb | zenon_intro zenon_H29f ]. % 65.73/65.98 apply (zenon_L216_); trivial. % 65.73/65.98 apply (zenon_L280_); trivial. % 65.73/65.98 (* end of lemma zenon_L438_ *) % 65.73/65.98 assert (zenon_L439_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> ((op1 (e10) (e12)) = (e12)) -> False). % 65.73/65.98 do 0 intro. intros zenon_H329 zenon_H212 zenon_H251 zenon_H320 zenon_H227 zenon_H1ed zenon_H1f4 zenon_H2a1 zenon_H3cb zenon_H3bc zenon_H38a zenon_H219 zenon_H2fa zenon_H293 zenon_H300 zenon_H284 zenon_H270 zenon_H21e zenon_H285 zenon_H3d6 zenon_H299 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H29e zenon_H2e2 zenon_H2a9. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.73/65.98 apply (zenon_L225_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.73/65.98 exact (zenon_H251 zenon_H24f). % 65.73/65.98 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.73/65.98 apply (zenon_L311_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.98 apply (zenon_L214_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.98 apply (zenon_L215_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.98 apply (zenon_L216_); trivial. % 65.73/65.98 apply (zenon_L438_); trivial. % 65.73/65.98 (* end of lemma zenon_L439_ *) % 65.73/65.98 assert (zenon_L440_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e10) (e10)) = (e11)) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H3c1 zenon_H282 zenon_H314 zenon_H252 zenon_H2e4 zenon_H31d zenon_H2e2 zenon_H1fa zenon_H1ee zenon_H1eb zenon_H299 zenon_H3d6 zenon_H220 zenon_H285 zenon_H21e zenon_H270 zenon_H284 zenon_H300 zenon_H293 zenon_H2fa zenon_H219 zenon_H38a zenon_H3cb zenon_H2a1 zenon_H3bc zenon_H324 zenon_H29e. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H23e | zenon_intro zenon_H3c2 ]. % 65.73/65.98 apply (zenon_L250_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3c2); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H3c3 ]. % 65.73/65.98 apply (zenon_L308_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3c3); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H3bd ]. % 65.73/65.98 apply (zenon_L438_); trivial. % 65.73/65.98 apply (zenon_L418_); trivial. % 65.73/65.98 (* end of lemma zenon_L440_ *) % 65.73/65.98 assert (zenon_L441_ : ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e12) (e13)) = (e10)) -> False). % 65.73/65.98 do 0 intro. intros zenon_H301 zenon_H29e zenon_H324 zenon_H3bc zenon_H2a1 zenon_H3cb zenon_H38a zenon_H219 zenon_H2fa zenon_H293 zenon_H300 zenon_H284 zenon_H3d6 zenon_H299 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H2e2 zenon_H31d zenon_H2e4 zenon_H252 zenon_H314 zenon_H3c1 zenon_H270 zenon_H21e zenon_H285 zenon_H220. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H22f | zenon_intro zenon_H294 ]. % 65.73/65.98 apply (zenon_L297_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H282 | zenon_intro zenon_H295 ]. % 65.73/65.98 apply (zenon_L440_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H289 | zenon_intro zenon_H28f ]. % 65.73/65.98 exact (zenon_H270 zenon_H289). % 65.73/65.98 apply (zenon_L253_); trivial. % 65.73/65.98 (* end of lemma zenon_L441_ *) % 65.73/65.98 assert (zenon_L442_ : (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e13) (e11)) = (e13)) -> False). % 65.73/65.98 do 0 intro. intros zenon_H38a zenon_H3bc zenon_H213 zenon_H2d4. % 65.73/65.98 cut (((op1 (e13) (op1 (e13) (e11))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))). % 65.73/65.98 intro zenon_D_pnotp. % 65.73/65.98 apply zenon_H38a. % 65.73/65.98 rewrite <- zenon_D_pnotp. % 65.73/65.98 exact zenon_H3bc. % 65.73/65.98 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3d9]. % 65.73/65.98 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3cc]. % 65.73/65.98 congruence. % 65.73/65.98 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H2fd | zenon_intro zenon_H2fe ]. % 65.73/65.98 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e10)))). % 65.73/65.98 intro zenon_D_pnotp. % 65.73/65.98 apply zenon_H3cc. % 65.73/65.98 rewrite <- zenon_D_pnotp. % 65.73/65.98 exact zenon_H2fd. % 65.73/65.98 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fe]. % 65.73/65.98 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3ca]. % 65.73/65.98 congruence. % 65.73/65.98 apply (zenon_L425_); trivial. % 65.73/65.98 apply zenon_H2fe. apply refl_equal. % 65.73/65.98 apply zenon_H2fe. apply refl_equal. % 65.73/65.98 apply zenon_H3d9. apply sym_equal. exact zenon_H2d4. % 65.73/65.98 (* end of lemma zenon_L442_ *) % 65.73/65.98 assert (zenon_L443_ : (~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> False). % 65.73/65.98 do 0 intro. intros zenon_H3da zenon_H308. % 65.73/65.98 cut (((op1 (e13) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H30d]. % 65.73/65.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 65.73/65.98 congruence. % 65.73/65.98 apply zenon_H1e9. apply refl_equal. % 65.73/65.98 exact (zenon_H30d zenon_H308). % 65.73/65.98 (* end of lemma zenon_L443_ *) % 65.73/65.98 assert (zenon_L444_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e13) (e13)) = (e13)) -> False). % 65.73/65.98 do 0 intro. intros zenon_H27d zenon_H1eb zenon_H297 zenon_H308. % 65.73/65.98 cut (((e12) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))). % 65.73/65.98 intro zenon_D_pnotp. % 65.73/65.98 apply zenon_H27d. % 65.73/65.98 rewrite <- zenon_D_pnotp. % 65.73/65.98 exact zenon_H1eb. % 65.73/65.98 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3da]. % 65.73/65.98 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H298]. % 65.73/65.98 congruence. % 65.73/65.98 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H223 | zenon_intro zenon_H224 ]. % 65.73/65.98 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e12) = (op1 (e10) (e13)))). % 65.73/65.98 intro zenon_D_pnotp. % 65.73/65.98 apply zenon_H298. % 65.73/65.98 rewrite <- zenon_D_pnotp. % 65.73/65.98 exact zenon_H223. % 65.73/65.98 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H224]. % 65.73/65.98 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H310]. % 65.73/65.98 congruence. % 65.73/65.98 exact (zenon_H310 zenon_H297). % 65.73/65.98 apply zenon_H224. apply refl_equal. % 65.73/65.98 apply zenon_H224. apply refl_equal. % 65.73/65.98 apply (zenon_L443_); trivial. % 65.73/65.98 (* end of lemma zenon_L444_ *) % 65.73/65.98 assert (zenon_L445_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> False). % 65.73/65.98 do 0 intro. intros zenon_H3db zenon_H324 zenon_H38a zenon_H213 zenon_H3bc zenon_H3cb zenon_H27d zenon_H1eb zenon_H297. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H3dc ]. % 65.73/65.98 apply (zenon_L434_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3dc); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H3dd ]. % 65.73/65.98 apply (zenon_L442_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3dd); [ zenon_intro zenon_H33d | zenon_intro zenon_H308 ]. % 65.73/65.98 apply (zenon_L426_); trivial. % 65.73/65.98 apply (zenon_L444_); trivial. % 65.73/65.98 (* end of lemma zenon_L445_ *) % 65.73/65.98 assert (zenon_L446_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H329 zenon_H212 zenon_H251 zenon_H320 zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1ee zenon_H1fa zenon_H3d6 zenon_H285 zenon_H21e zenon_H270 zenon_H284 zenon_H23e zenon_H300 zenon_H293 zenon_H2fa zenon_H219 zenon_H1eb zenon_H38a zenon_H3bc zenon_H3cb. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.73/65.98 apply (zenon_L225_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.73/65.98 exact (zenon_H251 zenon_H24f). % 65.73/65.98 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.73/65.98 apply (zenon_L311_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.98 apply (zenon_L214_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.98 apply (zenon_L215_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.98 apply (zenon_L216_); trivial. % 65.73/65.98 apply (zenon_L437_); trivial. % 65.73/65.98 (* end of lemma zenon_L446_ *) % 65.73/65.98 assert (zenon_L447_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H3c1 zenon_H3cb zenon_H2fa zenon_H293 zenon_H300 zenon_H270 zenon_H21e zenon_H285 zenon_H3d6 zenon_H1fa zenon_H1ee zenon_H1f4 zenon_H1ed zenon_H227 zenon_H320 zenon_H251 zenon_H212 zenon_H329 zenon_H20a zenon_H284 zenon_H29f zenon_H2e2 zenon_H392 zenon_H38a zenon_H29e zenon_H3bc zenon_H2c6 zenon_H1eb zenon_H219 zenon_H272. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H23e | zenon_intro zenon_H3c2 ]. % 65.73/65.98 apply (zenon_L446_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3c2); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H3c3 ]. % 65.73/65.98 apply (zenon_L416_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3c3); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H3bd ]. % 65.73/65.98 apply (zenon_L280_); trivial. % 65.73/65.98 apply (zenon_L420_); trivial. % 65.73/65.98 (* end of lemma zenon_L447_ *) % 65.73/65.98 assert (zenon_L448_ : ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H1eb zenon_H324 zenon_H3de zenon_H38a. % 65.73/65.98 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H276 | zenon_intro zenon_H277 ]. % 65.73/65.98 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))). % 65.73/65.98 intro zenon_D_pnotp. % 65.73/65.98 apply zenon_H38a. % 65.73/65.98 rewrite <- zenon_D_pnotp. % 65.73/65.98 exact zenon_H276. % 65.73/65.98 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H277]. % 65.73/65.98 cut (((op1 (e13) (e11)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3df]. % 65.73/65.98 congruence. % 65.73/65.98 cut (((e12) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e13) (e11)) = (op1 (e13) (e10)))). % 65.73/65.98 intro zenon_D_pnotp. % 65.73/65.98 apply zenon_H3df. % 65.73/65.98 rewrite <- zenon_D_pnotp. % 65.73/65.98 exact zenon_H1eb. % 65.73/65.98 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3e0]. % 65.73/65.98 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H387]. % 65.73/65.98 congruence. % 65.73/65.98 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H276 | zenon_intro zenon_H277 ]. % 65.73/65.98 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e12) = (op1 (e13) (e11)))). % 65.73/65.98 intro zenon_D_pnotp. % 65.73/65.98 apply zenon_H387. % 65.73/65.98 rewrite <- zenon_D_pnotp. % 65.73/65.98 exact zenon_H276. % 65.73/65.98 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H277]. % 65.73/65.98 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H3e1]. % 65.73/65.98 congruence. % 65.73/65.98 exact (zenon_H3e1 zenon_H324). % 65.73/65.98 apply zenon_H277. apply refl_equal. % 65.73/65.98 apply zenon_H277. apply refl_equal. % 65.73/65.98 cut (((op1 (e13) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2b7]. % 65.73/65.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 65.73/65.98 congruence. % 65.73/65.98 apply zenon_H1e9. apply refl_equal. % 65.73/65.98 exact (zenon_H2b7 zenon_H3de). % 65.73/65.98 apply zenon_H277. apply refl_equal. % 65.73/65.98 apply zenon_H277. apply refl_equal. % 65.73/65.98 (* end of lemma zenon_L448_ *) % 65.73/65.98 assert (zenon_L449_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H2b3 zenon_H29a zenon_H27d zenon_H2b4 zenon_H2df zenon_H35a zenon_H299 zenon_H2a1 zenon_H3bc zenon_H3cb zenon_H392 zenon_H38a zenon_H3c7 zenon_H2c6 zenon_H219 zenon_H272 zenon_H3c4 zenon_H29e zenon_H3cd zenon_H1f4 zenon_H25b zenon_H227 zenon_H1ed zenon_H1ff zenon_H293 zenon_H232 zenon_H284 zenon_H285 zenon_H215 zenon_H21e zenon_H1ee zenon_H1eb. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.73/65.98 exact (zenon_H232 zenon_H22f). % 65.73/65.98 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.98 apply (zenon_L214_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.98 apply (zenon_L215_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.98 exact (zenon_H1ff zenon_H1fb). % 65.73/65.98 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H23e | zenon_intro zenon_H2a2 ]. % 65.73/65.98 apply (zenon_L254_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a3 ]. % 65.73/65.98 apply (zenon_L366_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H1fb | zenon_intro zenon_H29f ]. % 65.73/65.98 exact (zenon_H1ff zenon_H1fb). % 65.73/65.98 apply (zenon_L272_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.73/65.98 apply (zenon_L428_); trivial. % 65.73/65.98 apply (zenon_L231_); trivial. % 65.73/65.98 (* end of lemma zenon_L449_ *) % 65.73/65.98 assert (zenon_L450_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H3d1 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H2bf zenon_H35a zenon_H35d zenon_H2c4 zenon_H3bc zenon_H324 zenon_H3c7. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3d1); [ zenon_intro zenon_H1fb | zenon_intro zenon_H3d2 ]. % 65.73/65.98 apply (zenon_L216_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3d2); [ zenon_intro zenon_H35e | zenon_intro zenon_H3d3 ]. % 65.73/65.98 apply (zenon_L363_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3d3); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H3c6 ]. % 65.73/65.98 exact (zenon_H2c4 zenon_H2c2). % 65.73/65.98 apply (zenon_L423_); trivial. % 65.73/65.98 (* end of lemma zenon_L450_ *) % 65.73/65.98 assert (zenon_L451_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H37f zenon_H2df zenon_H282 zenon_H26b zenon_H3c7 zenon_H2c4 zenon_H35d zenon_H35a zenon_H1fa zenon_H1ee zenon_H1eb zenon_H3d1 zenon_H3bc zenon_H324 zenon_H3c4. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H29b | zenon_intro zenon_H380 ]. % 65.73/65.98 apply (zenon_L331_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H266 | zenon_intro zenon_H381 ]. % 65.73/65.98 apply (zenon_L358_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2bf | zenon_intro zenon_H37b ]. % 65.73/65.98 apply (zenon_L450_); trivial. % 65.73/65.98 apply (zenon_L421_); trivial. % 65.73/65.98 (* end of lemma zenon_L451_ *) % 65.73/65.98 assert (zenon_L452_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e12) (e13)) = (e10)) -> False). % 65.73/65.98 do 0 intro. intros zenon_H293 zenon_H301 zenon_H300 zenon_H3c4 zenon_H324 zenon_H3bc zenon_H3d1 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H35a zenon_H35d zenon_H2c4 zenon_H3c7 zenon_H26b zenon_H2df zenon_H37f zenon_H270 zenon_H21e zenon_H285 zenon_H220. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H22f | zenon_intro zenon_H294 ]. % 65.73/65.98 apply (zenon_L297_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H282 | zenon_intro zenon_H295 ]. % 65.73/65.98 apply (zenon_L451_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H289 | zenon_intro zenon_H28f ]. % 65.73/65.98 exact (zenon_H270 zenon_H289). % 65.73/65.98 apply (zenon_L253_); trivial. % 65.73/65.98 (* end of lemma zenon_L452_ *) % 65.73/65.98 assert (zenon_L453_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H329 zenon_H212 zenon_H251 zenon_H320 zenon_H227 zenon_H1ed zenon_H1f4 zenon_H3d6 zenon_H285 zenon_H21e zenon_H270 zenon_H37f zenon_H2df zenon_H26b zenon_H3c7 zenon_H2c4 zenon_H35d zenon_H35a zenon_H1fa zenon_H1ee zenon_H3d1 zenon_H3c4 zenon_H300 zenon_H293 zenon_H2fa zenon_H219 zenon_H1eb zenon_H38a zenon_H3bc zenon_H3cb. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.73/65.98 apply (zenon_L225_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.73/65.98 exact (zenon_H251 zenon_H24f). % 65.73/65.98 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.73/65.98 apply (zenon_L311_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.98 apply (zenon_L214_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.98 apply (zenon_L215_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.98 apply (zenon_L216_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3d6); [ zenon_intro zenon_H301 | zenon_intro zenon_H3d7 ]. % 65.73/65.98 apply (zenon_L452_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3d7); [ zenon_intro zenon_H2fb | zenon_intro zenon_H3d8 ]. % 65.73/65.98 apply (zenon_L295_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3d8); [ zenon_intro zenon_H38b | zenon_intro zenon_H2d1 ]. % 65.73/65.98 apply (zenon_L386_); trivial. % 65.73/65.98 apply (zenon_L434_); trivial. % 65.73/65.98 (* end of lemma zenon_L453_ *) % 65.73/65.98 assert (zenon_L454_ : (((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H26c zenon_H329 zenon_H212 zenon_H320 zenon_H227 zenon_H1ed zenon_H1f4 zenon_H3d6 zenon_H285 zenon_H21e zenon_H37f zenon_H2df zenon_H26b zenon_H3c7 zenon_H35d zenon_H35a zenon_H1fa zenon_H1ee zenon_H3d1 zenon_H3c4 zenon_H300 zenon_H293 zenon_H2fa zenon_H219 zenon_H1eb zenon_H38a zenon_H3bc zenon_H3cb. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H266. zenon_intro zenon_H26d. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H26e. zenon_intro zenon_H23f. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 65.73/65.98 apply (zenon_L453_); trivial. % 65.73/65.98 (* end of lemma zenon_L454_ *) % 65.73/65.98 assert (zenon_L455_ : (((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H33b zenon_H329 zenon_H212 zenon_H320 zenon_H227 zenon_H1ed zenon_H1f4 zenon_H3d6 zenon_H285 zenon_H21e zenon_H37f zenon_H2df zenon_H26b zenon_H3c7 zenon_H35d zenon_H35a zenon_H1fa zenon_H1ee zenon_H3d1 zenon_H3c4 zenon_H300 zenon_H293 zenon_H2fa zenon_H219 zenon_H1eb zenon_H38a zenon_H3bc zenon_H3cb. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 65.73/65.98 apply (zenon_L453_); trivial. % 65.73/65.98 (* end of lemma zenon_L455_ *) % 65.73/65.98 assert (zenon_L456_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e12) (e13)) = (e10)) -> False). % 65.73/65.98 do 0 intro. intros zenon_H293 zenon_H232 zenon_H272 zenon_H219 zenon_H1eb zenon_H2c6 zenon_H3bc zenon_H3c4 zenon_H38a zenon_H392 zenon_H35d zenon_H35a zenon_H35e zenon_H26b zenon_H2df zenon_H37f zenon_H284 zenon_H202 zenon_H21e zenon_H285 zenon_H220. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H22f | zenon_intro zenon_H294 ]. % 65.73/65.98 exact (zenon_H232 zenon_H22f). % 65.73/65.98 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H282 | zenon_intro zenon_H295 ]. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H29b | zenon_intro zenon_H380 ]. % 65.73/65.98 apply (zenon_L331_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H266 | zenon_intro zenon_H381 ]. % 65.73/65.98 apply (zenon_L358_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2bf | zenon_intro zenon_H37b ]. % 65.73/65.98 apply (zenon_L363_); trivial. % 65.73/65.98 apply (zenon_L422_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H289 | zenon_intro zenon_H28f ]. % 65.73/65.98 apply (zenon_L252_); trivial. % 65.73/65.98 apply (zenon_L253_); trivial. % 65.73/65.98 (* end of lemma zenon_L456_ *) % 65.73/65.98 assert (zenon_L457_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H2b3 zenon_H360 zenon_H35d zenon_H35a zenon_H26b zenon_H2df zenon_H37f zenon_H31d zenon_H2e4 zenon_H299 zenon_H252 zenon_H314 zenon_H364 zenon_H3bc zenon_H3cb zenon_H392 zenon_H38a zenon_H3c7 zenon_H2c6 zenon_H219 zenon_H272 zenon_H3c4 zenon_H29e zenon_H3cd zenon_H1f4 zenon_H25b zenon_H227 zenon_H1ed zenon_H1ff zenon_H293 zenon_H232 zenon_H284 zenon_H285 zenon_H215 zenon_H21e zenon_H1ee zenon_H1eb. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.73/65.98 exact (zenon_H232 zenon_H22f). % 65.73/65.98 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.98 apply (zenon_L214_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.98 apply (zenon_L215_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.98 exact (zenon_H1ff zenon_H1fb). % 65.73/65.98 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H365 ]. % 65.73/65.98 apply (zenon_L308_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H266 | zenon_intro zenon_H366 ]. % 65.73/65.98 apply (zenon_L358_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H35e | zenon_intro zenon_H361 ]. % 65.73/65.98 apply (zenon_L456_); trivial. % 65.73/65.98 apply (zenon_L343_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.73/65.98 apply (zenon_L428_); trivial. % 65.73/65.98 apply (zenon_L231_); trivial. % 65.73/65.98 (* end of lemma zenon_L457_ *) % 65.73/65.98 assert (zenon_L458_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H2b3 zenon_H37f zenon_H2df zenon_H26b zenon_H342 zenon_H343 zenon_H35d zenon_H35a zenon_H3d1 zenon_H320 zenon_H24e zenon_H212 zenon_H329 zenon_H3bc zenon_H3cb zenon_H392 zenon_H38a zenon_H3c7 zenon_H2c6 zenon_H219 zenon_H272 zenon_H3c4 zenon_H29e zenon_H3cd zenon_H1f4 zenon_H25b zenon_H227 zenon_H1ed zenon_H1ff zenon_H293 zenon_H232 zenon_H284 zenon_H285 zenon_H215 zenon_H21e zenon_H1ee zenon_H1eb. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.73/65.98 exact (zenon_H232 zenon_H22f). % 65.73/65.98 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.73/65.98 apply (zenon_L225_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.73/65.98 apply (zenon_L236_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.73/65.98 apply (zenon_L311_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.73/65.98 apply (zenon_L214_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.73/65.98 apply (zenon_L215_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.73/65.98 exact (zenon_H1ff zenon_H1fb). % 65.73/65.98 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H22f | zenon_intro zenon_H294 ]. % 65.73/65.98 exact (zenon_H232 zenon_H22f). % 65.73/65.98 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H282 | zenon_intro zenon_H295 ]. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H29b | zenon_intro zenon_H380 ]. % 65.73/65.98 apply (zenon_L331_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H266 | zenon_intro zenon_H381 ]. % 65.73/65.98 apply (zenon_L358_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2bf | zenon_intro zenon_H37b ]. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3d1); [ zenon_intro zenon_H1fb | zenon_intro zenon_H3d2 ]. % 65.73/65.98 exact (zenon_H1ff zenon_H1fb). % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3d2); [ zenon_intro zenon_H35e | zenon_intro zenon_H3d3 ]. % 65.73/65.98 apply (zenon_L363_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3d3); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H3c6 ]. % 65.73/65.98 apply (zenon_L320_); trivial. % 65.73/65.98 apply (zenon_L423_); trivial. % 65.73/65.98 apply (zenon_L422_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H289 | zenon_intro zenon_H28f ]. % 65.73/65.98 apply (zenon_L252_); trivial. % 65.73/65.98 apply (zenon_L253_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.73/65.98 apply (zenon_L428_); trivial. % 65.73/65.98 apply (zenon_L231_); trivial. % 65.73/65.98 (* end of lemma zenon_L458_ *) % 65.73/65.98 assert (zenon_L459_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H3d1 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H386 zenon_H320 zenon_H2c4 zenon_H3bc zenon_H324 zenon_H3c7. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3d1); [ zenon_intro zenon_H1fb | zenon_intro zenon_H3d2 ]. % 65.73/65.98 apply (zenon_L216_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3d2); [ zenon_intro zenon_H35e | zenon_intro zenon_H3d3 ]. % 65.73/65.98 apply (zenon_L379_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3d3); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H3c6 ]. % 65.73/65.98 exact (zenon_H2c4 zenon_H2c2). % 65.73/65.98 apply (zenon_L423_); trivial. % 65.73/65.98 (* end of lemma zenon_L459_ *) % 65.73/65.98 assert (zenon_L460_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e12))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H392 zenon_H38a zenon_H3c7 zenon_H3bc zenon_H2c4 zenon_H320 zenon_H386 zenon_H1fa zenon_H1ee zenon_H3d1 zenon_H2c6 zenon_H219 zenon_H1eb zenon_H2c3. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H38b | zenon_intro zenon_H393 ]. % 65.73/65.98 apply (zenon_L386_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H324 | zenon_intro zenon_H394 ]. % 65.73/65.98 apply (zenon_L459_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H38e ]. % 65.73/65.98 apply (zenon_L265_); trivial. % 65.73/65.98 exact (zenon_H2c3 zenon_H38e). % 65.73/65.98 (* end of lemma zenon_L460_ *) % 65.73/65.98 assert (zenon_L461_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H23c zenon_H392 zenon_H38a zenon_H3c7 zenon_H3bc zenon_H320 zenon_H386 zenon_H1fa zenon_H1ee zenon_H3d1 zenon_H2c6 zenon_H219 zenon_H1eb. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H23c). zenon_intro zenon_H23e. zenon_intro zenon_H23d. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H1ef. zenon_intro zenon_H23f. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 65.73/65.98 apply (zenon_L460_); trivial. % 65.73/65.98 (* end of lemma zenon_L461_ *) % 65.73/65.98 assert (zenon_L462_ : (~((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e12))))) -> ((op1 (e12) (e12)) = (e12)) -> False). % 65.73/65.98 do 0 intro. intros zenon_H3e2 zenon_H2c2. % 65.73/65.98 cut (((e12) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H344]. % 65.73/65.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2ac]. % 65.73/65.98 congruence. % 65.73/65.98 apply zenon_H2ac. apply refl_equal. % 65.73/65.98 apply zenon_H344. apply sym_equal. exact zenon_H2c2. % 65.73/65.98 (* end of lemma zenon_L462_ *) % 65.73/65.98 assert (zenon_L463_ : ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H386 zenon_H2c2 zenon_H2a9 zenon_H3e3. % 65.73/65.98 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fe ]. % 65.73/65.98 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))). % 65.73/65.98 intro zenon_D_pnotp. % 65.73/65.98 apply zenon_H3e3. % 65.73/65.98 rewrite <- zenon_D_pnotp. % 65.73/65.98 exact zenon_H1fd. % 65.73/65.98 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1fe]. % 65.73/65.98 cut (((op1 (e12) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e4]. % 65.73/65.98 congruence. % 65.73/65.98 cut (((op1 (e12) (op1 (e12) (e12))) = (e12)) = ((op1 (e12) (e12)) = (op1 (e10) (e12)))). % 65.73/65.98 intro zenon_D_pnotp. % 65.73/65.98 apply zenon_H3e4. % 65.73/65.98 rewrite <- zenon_D_pnotp. % 65.73/65.98 exact zenon_H386. % 65.73/65.98 cut (((e12) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2e1]. % 65.73/65.98 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e5]. % 65.73/65.98 congruence. % 65.73/65.98 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fe ]. % 65.73/65.98 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12)))). % 65.73/65.98 intro zenon_D_pnotp. % 65.73/65.98 apply zenon_H3e5. % 65.73/65.98 rewrite <- zenon_D_pnotp. % 65.73/65.98 exact zenon_H1fd. % 65.73/65.98 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1fe]. % 65.73/65.98 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3e2]. % 65.73/65.98 congruence. % 65.73/65.98 apply (zenon_L462_); trivial. % 65.73/65.98 apply zenon_H1fe. apply refl_equal. % 65.73/65.98 apply zenon_H1fe. apply refl_equal. % 65.73/65.98 apply zenon_H2e1. apply sym_equal. exact zenon_H2a9. % 65.73/65.98 apply zenon_H1fe. apply refl_equal. % 65.73/65.98 apply zenon_H1fe. apply refl_equal. % 65.73/65.98 (* end of lemma zenon_L463_ *) % 65.73/65.98 assert (zenon_L464_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H3d1 zenon_H1ff zenon_H320 zenon_H3e3 zenon_H2a9 zenon_H386 zenon_H3bc zenon_H324 zenon_H3c7. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3d1); [ zenon_intro zenon_H1fb | zenon_intro zenon_H3d2 ]. % 65.73/65.98 exact (zenon_H1ff zenon_H1fb). % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3d2); [ zenon_intro zenon_H35e | zenon_intro zenon_H3d3 ]. % 65.73/65.98 apply (zenon_L379_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H3d3); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H3c6 ]. % 65.73/65.98 apply (zenon_L463_); trivial. % 65.73/65.98 apply (zenon_L423_); trivial. % 65.73/65.98 (* end of lemma zenon_L464_ *) % 65.73/65.98 assert (zenon_L465_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H392 zenon_H38a zenon_H3c7 zenon_H3bc zenon_H386 zenon_H2a9 zenon_H3e3 zenon_H320 zenon_H1ff zenon_H3d1 zenon_H2c6 zenon_H1eb zenon_H219 zenon_H272. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H38b | zenon_intro zenon_H393 ]. % 65.73/65.98 apply (zenon_L386_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H324 | zenon_intro zenon_H394 ]. % 65.73/65.98 apply (zenon_L464_); trivial. % 65.73/65.98 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H38e ]. % 65.73/65.98 apply (zenon_L265_); trivial. % 65.73/65.98 apply (zenon_L387_); trivial. % 65.73/65.98 (* end of lemma zenon_L465_ *) % 65.73/65.98 assert (zenon_L466_ : (((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H26c zenon_H392 zenon_H38a zenon_H3c7 zenon_H3bc zenon_H320 zenon_H386 zenon_H1fa zenon_H1ee zenon_H3d1 zenon_H2c6 zenon_H219 zenon_H1eb. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H266. zenon_intro zenon_H26d. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H26e. zenon_intro zenon_H23f. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 65.73/65.98 apply (zenon_L460_); trivial. % 65.73/65.98 (* end of lemma zenon_L466_ *) % 65.73/65.98 assert (zenon_L467_ : (((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H2b2 zenon_H392 zenon_H38a zenon_H3c7 zenon_H3bc zenon_H386 zenon_H3e3 zenon_H320 zenon_H3d1 zenon_H2c6 zenon_H1eb zenon_H219 zenon_H272. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.73/65.98 apply (zenon_L465_); trivial. % 65.73/65.98 (* end of lemma zenon_L467_ *) % 65.73/65.98 assert (zenon_L468_ : (((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H33b zenon_H392 zenon_H38a zenon_H3c7 zenon_H3bc zenon_H320 zenon_H386 zenon_H1fa zenon_H1ee zenon_H3d1 zenon_H2c6 zenon_H219 zenon_H1eb. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.73/65.98 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 65.73/65.98 apply (zenon_L460_); trivial. % 65.73/65.98 (* end of lemma zenon_L468_ *) % 65.73/65.98 assert (zenon_L469_ : ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> False). % 65.73/65.98 do 0 intro. intros zenon_H386 zenon_H2c2 zenon_H2b6 zenon_H342. % 65.73/65.98 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fe ]. % 65.73/65.98 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))). % 65.73/65.98 intro zenon_D_pnotp. % 65.73/65.98 apply zenon_H342. % 65.73/65.98 rewrite <- zenon_D_pnotp. % 65.73/65.98 exact zenon_H1fd. % 65.73/65.98 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1fe]. % 65.82/65.98 cut (((op1 (e12) (e12)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3e6]. % 65.82/65.98 congruence. % 65.82/65.98 cut (((op1 (e12) (op1 (e12) (e12))) = (e12)) = ((op1 (e12) (e12)) = (op1 (e12) (e10)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H3e6. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H386. % 65.82/65.98 cut (((e12) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H340]. % 65.82/65.98 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e5]. % 65.82/65.98 congruence. % 65.82/65.98 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fe ]. % 65.82/65.98 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H3e5. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H1fd. % 65.82/65.98 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1fe]. % 65.82/65.98 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3e2]. % 65.82/65.98 congruence. % 65.82/65.98 apply (zenon_L462_); trivial. % 65.82/65.98 apply zenon_H1fe. apply refl_equal. % 65.82/65.98 apply zenon_H1fe. apply refl_equal. % 65.82/65.98 apply zenon_H340. apply sym_equal. exact zenon_H2b6. % 65.82/65.98 apply zenon_H1fe. apply refl_equal. % 65.82/65.98 apply zenon_H1fe. apply refl_equal. % 65.82/65.98 (* end of lemma zenon_L469_ *) % 65.82/65.98 assert (zenon_L470_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.82/65.98 do 0 intro. intros zenon_H3d1 zenon_H1ff zenon_H324 zenon_H320 zenon_H342 zenon_H2b6 zenon_H386 zenon_H392 zenon_H38a zenon_H3c7 zenon_H3bc zenon_H2c6 zenon_H1eb zenon_H219 zenon_H272. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3d1); [ zenon_intro zenon_H1fb | zenon_intro zenon_H3d2 ]. % 65.82/65.98 exact (zenon_H1ff zenon_H1fb). % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3d2); [ zenon_intro zenon_H35e | zenon_intro zenon_H3d3 ]. % 65.82/65.98 apply (zenon_L379_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3d3); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H3c6 ]. % 65.82/65.98 apply (zenon_L469_); trivial. % 65.82/65.98 apply (zenon_L424_); trivial. % 65.82/65.98 (* end of lemma zenon_L470_ *) % 65.82/65.98 assert (zenon_L471_ : (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 65.82/65.98 do 0 intro. intros zenon_H1fa zenon_H386 zenon_H2c2 zenon_H2ce. % 65.82/65.98 cut (((op1 (e12) (op1 (e12) (e12))) = (e12)) = ((op1 (e12) (e12)) = (op1 (e12) (e13)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H1fa. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H386. % 65.82/65.98 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H346]. % 65.82/65.98 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e5]. % 65.82/65.98 congruence. % 65.82/65.98 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fe ]. % 65.82/65.98 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H3e5. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H1fd. % 65.82/65.98 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1fe]. % 65.82/65.98 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3e2]. % 65.82/65.98 congruence. % 65.82/65.98 apply (zenon_L462_); trivial. % 65.82/65.98 apply zenon_H1fe. apply refl_equal. % 65.82/65.98 apply zenon_H1fe. apply refl_equal. % 65.82/65.98 apply zenon_H346. apply sym_equal. exact zenon_H2ce. % 65.82/65.98 (* end of lemma zenon_L471_ *) % 65.82/65.98 assert (zenon_L472_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 65.82/65.98 do 0 intro. intros zenon_H3d1 zenon_H1ff zenon_H320 zenon_H2ce zenon_H386 zenon_H1fa zenon_H3bc zenon_H324 zenon_H3c7. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3d1); [ zenon_intro zenon_H1fb | zenon_intro zenon_H3d2 ]. % 65.82/65.98 exact (zenon_H1ff zenon_H1fb). % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3d2); [ zenon_intro zenon_H35e | zenon_intro zenon_H3d3 ]. % 65.82/65.98 apply (zenon_L379_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3d3); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H3c6 ]. % 65.82/65.98 apply (zenon_L471_); trivial. % 65.82/65.98 apply (zenon_L423_); trivial. % 65.82/65.98 (* end of lemma zenon_L472_ *) % 65.82/65.98 assert (zenon_L473_ : ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 65.82/65.98 do 0 intro. intros zenon_H3bc zenon_H2d4 zenon_H2a4 zenon_H27d. % 65.82/65.98 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H38f | zenon_intro zenon_H274 ]. % 65.82/65.98 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H27d. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H38f. % 65.82/65.98 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.82/65.98 cut (((op1 (e13) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3a8]. % 65.82/65.98 congruence. % 65.82/65.98 cut (((op1 (e13) (op1 (e13) (e11))) = (e13)) = ((op1 (e13) (e13)) = (op1 (e10) (e13)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H3a8. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H3bc. % 65.82/65.98 cut (((e13) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2a7]. % 65.82/65.98 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3e7]. % 65.82/65.98 congruence. % 65.82/65.98 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H38f | zenon_intro zenon_H274 ]. % 65.82/65.98 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e13)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H3e7. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H38f. % 65.82/65.98 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.82/65.98 cut (((op1 (e13) (e13)) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3e8]. % 65.82/65.98 congruence. % 65.82/65.98 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3d9]. % 65.82/65.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 65.82/65.98 congruence. % 65.82/65.98 apply zenon_H1e9. apply refl_equal. % 65.82/65.98 apply zenon_H3d9. apply sym_equal. exact zenon_H2d4. % 65.82/65.98 apply zenon_H274. apply refl_equal. % 65.82/65.98 apply zenon_H274. apply refl_equal. % 65.82/65.98 apply zenon_H2a7. apply sym_equal. exact zenon_H2a4. % 65.82/65.98 apply zenon_H274. apply refl_equal. % 65.82/65.98 apply zenon_H274. apply refl_equal. % 65.82/65.98 (* end of lemma zenon_L473_ *) % 65.82/65.98 assert (zenon_L474_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> False). % 65.82/65.98 do 0 intro. intros zenon_H3db zenon_H3cb zenon_H324 zenon_H3bc zenon_H2a4 zenon_H3a7 zenon_H27d zenon_H1eb zenon_H297. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H3dc ]. % 65.82/65.98 apply (zenon_L434_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3dc); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H3dd ]. % 65.82/65.98 apply (zenon_L473_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3dd); [ zenon_intro zenon_H33d | zenon_intro zenon_H308 ]. % 65.82/65.98 apply (zenon_L400_); trivial. % 65.82/65.98 apply (zenon_L444_); trivial. % 65.82/65.98 (* end of lemma zenon_L474_ *) % 65.82/65.98 assert (zenon_L475_ : ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False). % 65.82/65.98 do 0 intro. intros zenon_H3a7 zenon_H33d zenon_H2d5 zenon_H252. % 65.82/65.98 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H38f | zenon_intro zenon_H274 ]. % 65.82/65.98 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H252. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H38f. % 65.82/65.98 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.82/65.98 cut (((op1 (e13) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3e9]. % 65.82/65.98 congruence. % 65.82/65.98 cut (((op1 (e13) (op1 (e13) (e12))) = (e13)) = ((op1 (e13) (e13)) = (op1 (e11) (e13)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H3e9. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H3a7. % 65.82/65.98 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H31c]. % 65.82/65.98 cut (((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3a9]. % 65.82/65.98 congruence. % 65.82/65.98 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H38f | zenon_intro zenon_H274 ]. % 65.82/65.98 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (e13)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H3a9. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H38f. % 65.82/65.98 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.82/65.98 cut (((op1 (e13) (e13)) = (op1 (e13) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3a5]. % 65.82/65.98 congruence. % 65.82/65.98 apply (zenon_L399_); trivial. % 65.82/65.98 apply zenon_H274. apply refl_equal. % 65.82/65.98 apply zenon_H274. apply refl_equal. % 65.82/65.98 apply zenon_H31c. apply sym_equal. exact zenon_H2d5. % 65.82/65.98 apply zenon_H274. apply refl_equal. % 65.82/65.98 apply zenon_H274. apply refl_equal. % 65.82/65.98 (* end of lemma zenon_L475_ *) % 65.82/65.98 assert (zenon_L476_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> False). % 65.82/65.98 do 0 intro. intros zenon_H3ea zenon_H3bc zenon_H324 zenon_H3cb zenon_H3db zenon_H252 zenon_H36e zenon_H33d zenon_H3a7 zenon_H27d zenon_H1eb zenon_H297. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3ea); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H3eb ]. % 65.82/65.98 apply (zenon_L474_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3eb); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H3ec ]. % 65.82/65.98 apply (zenon_L475_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3ec); [ zenon_intro zenon_H33e | zenon_intro zenon_H308 ]. % 65.82/65.98 apply (zenon_L404_); trivial. % 65.82/65.98 apply (zenon_L444_); trivial. % 65.82/65.98 (* end of lemma zenon_L476_ *) % 65.82/65.98 assert (zenon_L477_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e13) (e13)) = (e13)) -> False). % 65.82/65.98 do 0 intro. intros zenon_H252 zenon_H1eb zenon_H312 zenon_H308. % 65.82/65.98 cut (((e12) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H252. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H1eb. % 65.82/65.98 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3da]. % 65.82/65.98 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H313]. % 65.82/65.98 congruence. % 65.82/65.98 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H256 | zenon_intro zenon_H257 ]. % 65.82/65.98 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e12) = (op1 (e11) (e13)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H313. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H256. % 65.82/65.98 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H257]. % 65.82/65.98 cut (((op1 (e11) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H3ed]. % 65.82/65.98 congruence. % 65.82/65.98 exact (zenon_H3ed zenon_H312). % 65.82/65.98 apply zenon_H257. apply refl_equal. % 65.82/65.98 apply zenon_H257. apply refl_equal. % 65.82/65.98 apply (zenon_L443_); trivial. % 65.82/65.98 (* end of lemma zenon_L477_ *) % 65.82/65.98 assert (zenon_L478_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 65.82/65.98 do 0 intro. intros zenon_H3db zenon_H3cb zenon_H324 zenon_H3bc zenon_H27d zenon_H2a4 zenon_H3a7 zenon_H252 zenon_H1eb zenon_H312. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H3dc ]. % 65.82/65.98 apply (zenon_L434_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3dc); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H3dd ]. % 65.82/65.98 apply (zenon_L473_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3dd); [ zenon_intro zenon_H33d | zenon_intro zenon_H308 ]. % 65.82/65.98 apply (zenon_L400_); trivial. % 65.82/65.98 apply (zenon_L477_); trivial. % 65.82/65.98 (* end of lemma zenon_L478_ *) % 65.82/65.98 assert (zenon_L479_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (e13) (e13)) = (e13)) -> False). % 65.82/65.98 do 0 intro. intros zenon_H36e zenon_H1eb zenon_H2ce zenon_H308. % 65.82/65.98 cut (((e12) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H36e. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H1eb. % 65.82/65.98 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3da]. % 65.82/65.98 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H346]. % 65.82/65.98 congruence. % 65.82/65.98 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H34d | zenon_intro zenon_H34e ]. % 65.82/65.98 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e12) = (op1 (e12) (e13)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H346. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H34d. % 65.82/65.98 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34e]. % 65.82/65.98 cut (((op1 (e12) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H3ee]. % 65.82/65.98 congruence. % 65.82/65.98 exact (zenon_H3ee zenon_H2ce). % 65.82/65.98 apply zenon_H34e. apply refl_equal. % 65.82/65.98 apply zenon_H34e. apply refl_equal. % 65.82/65.98 apply (zenon_L443_); trivial. % 65.82/65.98 (* end of lemma zenon_L479_ *) % 65.82/65.98 assert (zenon_L480_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> False). % 65.82/65.98 do 0 intro. intros zenon_H3db zenon_H3cb zenon_H324 zenon_H3bc zenon_H27d zenon_H2a4 zenon_H3a7 zenon_H36e zenon_H1eb zenon_H2ce. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H3dc ]. % 65.82/65.98 apply (zenon_L434_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3dc); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H3dd ]. % 65.82/65.98 apply (zenon_L473_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3dd); [ zenon_intro zenon_H33d | zenon_intro zenon_H308 ]. % 65.82/65.98 apply (zenon_L400_); trivial. % 65.82/65.98 apply (zenon_L479_); trivial. % 65.82/65.98 (* end of lemma zenon_L480_ *) % 65.82/65.98 assert (zenon_L481_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.82/65.98 do 0 intro. intros zenon_H3b8 zenon_H252 zenon_H36e zenon_H3a7 zenon_H2a4 zenon_H27d zenon_H3bc zenon_H324 zenon_H3cb zenon_H3db zenon_H1eb zenon_H219 zenon_H272. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_H297 | zenon_intro zenon_H3b9 ]. % 65.82/65.98 apply (zenon_L474_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_H312 | zenon_intro zenon_H3ba ]. % 65.82/65.98 apply (zenon_L478_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3ba); [ zenon_intro zenon_H2ce | zenon_intro zenon_H38e ]. % 65.82/65.98 apply (zenon_L480_); trivial. % 65.82/65.98 apply (zenon_L387_); trivial. % 65.82/65.98 (* end of lemma zenon_L481_ *) % 65.82/65.98 assert (zenon_L482_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 65.82/65.98 do 0 intro. intros zenon_H3ea zenon_H272 zenon_H219 zenon_H3db zenon_H3cb zenon_H324 zenon_H3bc zenon_H27d zenon_H3b8 zenon_H36e zenon_H33d zenon_H3a7 zenon_H252 zenon_H1eb zenon_H312. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3ea); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H3eb ]. % 65.82/65.98 apply (zenon_L481_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3eb); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H3ec ]. % 65.82/65.98 apply (zenon_L475_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3ec); [ zenon_intro zenon_H33e | zenon_intro zenon_H308 ]. % 65.82/65.98 apply (zenon_L404_); trivial. % 65.82/65.98 apply (zenon_L477_); trivial. % 65.82/65.98 (* end of lemma zenon_L482_ *) % 65.82/65.98 assert (zenon_L483_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.82/65.98 do 0 intro. intros zenon_H3b8 zenon_H36e zenon_H3a7 zenon_H33d zenon_H252 zenon_H3db zenon_H3cb zenon_H324 zenon_H3bc zenon_H27d zenon_H3ea zenon_H1eb zenon_H219 zenon_H272. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_H297 | zenon_intro zenon_H3b9 ]. % 65.82/65.98 apply (zenon_L476_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_H312 | zenon_intro zenon_H3ba ]. % 65.82/65.98 apply (zenon_L482_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3ba); [ zenon_intro zenon_H2ce | zenon_intro zenon_H38e ]. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3ea); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H3eb ]. % 65.82/65.98 apply (zenon_L480_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3eb); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H3ec ]. % 65.82/65.98 apply (zenon_L475_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3ec); [ zenon_intro zenon_H33e | zenon_intro zenon_H308 ]. % 65.82/65.98 apply (zenon_L404_); trivial. % 65.82/65.98 apply (zenon_L479_); trivial. % 65.82/65.98 apply (zenon_L387_); trivial. % 65.82/65.98 (* end of lemma zenon_L483_ *) % 65.82/65.98 assert (zenon_L484_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.82/65.98 do 0 intro. intros zenon_H3cd zenon_H29e zenon_H3c4 zenon_H3c7 zenon_H392 zenon_H38a zenon_H3ea zenon_H27d zenon_H3bc zenon_H3cb zenon_H3db zenon_H252 zenon_H3a7 zenon_H36e zenon_H3b8 zenon_H2c6 zenon_H1eb zenon_H219 zenon_H272. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3cd); [ zenon_intro zenon_H3bd | zenon_intro zenon_H3ce ]. % 65.82/65.98 apply (zenon_L420_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3ce); [ zenon_intro zenon_H37b | zenon_intro zenon_H3cf ]. % 65.82/65.98 apply (zenon_L422_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3cf); [ zenon_intro zenon_H3c6 | zenon_intro zenon_H33d ]. % 65.82/65.98 apply (zenon_L424_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H38b | zenon_intro zenon_H393 ]. % 65.82/65.98 apply (zenon_L386_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H324 | zenon_intro zenon_H394 ]. % 65.82/65.98 apply (zenon_L483_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H38e ]. % 65.82/65.98 apply (zenon_L265_); trivial. % 65.82/65.98 apply (zenon_L387_); trivial. % 65.82/65.98 (* end of lemma zenon_L484_ *) % 65.82/65.98 assert (zenon_L485_ : (((op1 (e10) (op1 (e10) (e12))) = (e10))\/(((op1 (e11) (op1 (e11) (e12))) = (e11))\/(((op1 (e12) (op1 (e12) (e12))) = (e12))\/((op1 (e13) (op1 (e13) (e12))) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.82/65.98 do 0 intro. intros zenon_H3ef zenon_H3d0 zenon_H3f0 zenon_H2af zenon_H2fa zenon_H300 zenon_H35d zenon_H26b zenon_H2df zenon_H37f zenon_H3d6 zenon_H364 zenon_H360 zenon_H2b4 zenon_H30f zenon_H32c zenon_H21e zenon_H1ed zenon_H342 zenon_H347 zenon_H1f4 zenon_H227 zenon_H24e zenon_H212 zenon_H329 zenon_H3e3 zenon_H3d1 zenon_H1ee zenon_H1fa zenon_H320 zenon_H215 zenon_H285 zenon_H284 zenon_H293 zenon_H3c1 zenon_H299 zenon_H2e4 zenon_H31d zenon_H2b3 zenon_H2eb zenon_H2a1 zenon_H353 zenon_H3cd zenon_H29e zenon_H3c4 zenon_H3c7 zenon_H392 zenon_H38a zenon_H3ea zenon_H27d zenon_H3bc zenon_H3cb zenon_H3db zenon_H252 zenon_H36e zenon_H3b8 zenon_H2c6 zenon_H1eb zenon_H219 zenon_H272. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.82/65.98 apply (zenon_L228_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.82/65.98 apply (zenon_L229_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.82/65.98 apply (zenon_L230_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.82/65.98 apply (zenon_L232_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.82/65.98 apply (zenon_L429_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.82/65.98 apply (zenon_L240_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.82/65.98 apply (zenon_L432_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.82/65.98 apply (zenon_L247_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.82/65.98 apply (zenon_L433_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.82/65.98 apply (zenon_L263_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.82/65.98 apply (zenon_L264_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.82/65.98 apply (zenon_L266_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.82/65.98 apply (zenon_L436_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.82/65.98 apply (zenon_L269_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.82/65.98 exact (zenon_H270 zenon_H289). % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.82/65.98 apply (zenon_L225_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.82/65.98 apply (zenon_L439_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.82/65.98 apply (zenon_L225_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.82/65.98 exact (zenon_H251 zenon_H24f). % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.82/65.98 apply (zenon_L311_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.82/65.98 apply (zenon_L214_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.82/65.98 apply (zenon_L215_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.82/65.98 apply (zenon_L216_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H23e | zenon_intro zenon_H2a2 ]. % 65.82/65.98 apply (zenon_L437_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a3 ]. % 65.82/65.98 apply (zenon_L256_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H1fb | zenon_intro zenon_H29f ]. % 65.82/65.98 apply (zenon_L216_); trivial. % 65.82/65.98 apply (zenon_L272_); trivial. % 65.82/65.98 apply (zenon_L301_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.82/65.98 apply (zenon_L228_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.82/65.98 apply (zenon_L229_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.82/65.98 apply (zenon_L230_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.82/65.98 apply (zenon_L232_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.82/65.98 apply (zenon_L429_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.82/65.98 apply (zenon_L240_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.82/65.98 apply (zenon_L432_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.82/65.98 apply (zenon_L247_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.82/65.98 apply (zenon_L433_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.82/65.98 apply (zenon_L263_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.82/65.98 apply (zenon_L264_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.82/65.98 apply (zenon_L266_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.82/65.98 apply (zenon_L436_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.82/65.98 apply (zenon_L269_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H282 | zenon_intro zenon_H2b0 ]. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.82/65.98 apply (zenon_L225_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.82/65.98 exact (zenon_H251 zenon_H24f). % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.82/65.98 apply (zenon_L311_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.82/65.98 apply (zenon_L214_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.82/65.98 apply (zenon_L215_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.82/65.98 apply (zenon_L216_); trivial. % 65.82/65.98 apply (zenon_L440_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H20a | zenon_intro zenon_H2b1 ]. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.82/65.98 exact (zenon_H270 zenon_H289). % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.82/65.98 apply (zenon_L225_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.82/65.98 apply (zenon_L439_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.82/65.98 apply (zenon_L225_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.82/65.98 exact (zenon_H251 zenon_H24f). % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.82/65.98 apply (zenon_L311_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.82/65.98 apply (zenon_L214_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.82/65.98 apply (zenon_L215_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.82/65.98 apply (zenon_L216_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3f0); [ zenon_intro zenon_H301 | zenon_intro zenon_H3f2 ]. % 65.82/65.98 apply (zenon_L441_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H213 | zenon_intro zenon_H3f3 ]. % 65.82/65.98 apply (zenon_L445_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_H29f | zenon_intro zenon_H3de ]. % 65.82/65.98 apply (zenon_L447_); trivial. % 65.82/65.98 apply (zenon_L448_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H27e ]. % 65.82/65.98 apply (zenon_L308_); trivial. % 65.82/65.98 apply (zenon_L248_); trivial. % 65.82/65.98 apply (zenon_L301_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.82/65.98 apply (zenon_L228_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.82/65.98 apply (zenon_L229_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.82/65.98 apply (zenon_L230_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.82/65.98 apply (zenon_L232_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.82/65.98 apply (zenon_L429_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.82/65.98 apply (zenon_L240_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.82/65.98 apply (zenon_L432_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.82/65.98 apply (zenon_L247_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.82/65.98 apply (zenon_L433_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.82/65.98 apply (zenon_L263_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.82/65.98 apply (zenon_L264_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.82/65.98 apply (zenon_L266_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.82/65.98 apply (zenon_L436_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.82/65.98 apply (zenon_L269_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.82/65.98 exact (zenon_H270 zenon_H289). % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.82/65.98 apply (zenon_L225_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.82/65.98 apply (zenon_L439_); trivial. % 65.82/65.98 apply (zenon_L325_); trivial. % 65.82/65.98 apply (zenon_L301_); trivial. % 65.82/65.98 apply (zenon_L328_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.82/65.98 apply (zenon_L228_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.82/65.98 apply (zenon_L229_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.82/65.98 apply (zenon_L230_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.82/65.98 apply (zenon_L232_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H260. zenon_intro zenon_H25f. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H20a. zenon_intro zenon_H230. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.82/65.98 apply (zenon_L449_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.82/65.98 apply (zenon_L240_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.82/65.98 apply (zenon_L454_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.82/65.98 apply (zenon_L247_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.82/65.98 apply (zenon_L449_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.82/65.98 apply (zenon_L263_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.82/65.98 apply (zenon_L264_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.82/65.98 apply (zenon_L266_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.82/65.98 apply (zenon_L268_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.82/65.98 apply (zenon_L269_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.82/65.98 apply (zenon_L455_); trivial. % 65.82/65.98 apply (zenon_L301_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.82/65.98 apply (zenon_L228_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.82/65.98 apply (zenon_L229_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.82/65.98 apply (zenon_L230_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.82/65.98 apply (zenon_L232_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H260. zenon_intro zenon_H25f. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H20a. zenon_intro zenon_H230. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.82/65.98 apply (zenon_L457_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.82/65.98 apply (zenon_L240_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.82/65.98 apply (zenon_L454_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.82/65.98 apply (zenon_L247_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.82/65.98 apply (zenon_L457_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.82/65.98 apply (zenon_L263_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.82/65.98 apply (zenon_L264_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.82/65.98 apply (zenon_L266_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.82/65.98 apply (zenon_L436_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.82/65.98 apply (zenon_L269_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.82/65.98 apply (zenon_L455_); trivial. % 65.82/65.98 apply (zenon_L301_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.82/65.98 apply (zenon_L228_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.82/65.98 apply (zenon_L229_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.82/65.98 apply (zenon_L230_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.82/65.98 apply (zenon_L232_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H260. zenon_intro zenon_H25f. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H20a. zenon_intro zenon_H230. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.82/65.98 apply (zenon_L458_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.82/65.98 apply (zenon_L240_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.82/65.98 apply (zenon_L454_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.82/65.98 apply (zenon_L247_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.82/65.98 apply (zenon_L458_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.82/65.98 apply (zenon_L263_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.82/65.98 apply (zenon_L264_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.82/65.98 apply (zenon_L266_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.82/65.98 apply (zenon_L436_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.82/65.98 apply (zenon_L269_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.82/65.98 apply (zenon_L455_); trivial. % 65.82/65.98 apply (zenon_L301_); trivial. % 65.82/65.98 apply (zenon_L328_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.82/65.98 apply (zenon_L228_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.82/65.98 apply (zenon_L229_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.82/65.98 apply (zenon_L461_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.82/65.98 apply (zenon_L232_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H260. zenon_intro zenon_H25f. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H20a. zenon_intro zenon_H230. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.82/65.98 exact (zenon_H232 zenon_H22f). % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.82/65.98 apply (zenon_L252_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.82/65.98 apply (zenon_L225_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.82/65.98 apply (zenon_L465_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.82/65.98 apply (zenon_L214_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.82/65.98 apply (zenon_L215_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.82/65.98 exact (zenon_H1ff zenon_H1fb). % 65.82/65.98 apply (zenon_L258_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.82/65.98 apply (zenon_L428_); trivial. % 65.82/65.98 apply (zenon_L231_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.82/65.98 apply (zenon_L240_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.82/65.98 apply (zenon_L466_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.82/65.98 apply (zenon_L247_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.82/65.98 apply (zenon_L467_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.82/65.98 apply (zenon_L263_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.82/65.98 apply (zenon_L264_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.82/65.98 apply (zenon_L266_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.82/65.98 apply (zenon_L268_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.82/65.98 apply (zenon_L269_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.82/65.98 apply (zenon_L468_); trivial. % 65.82/65.98 apply (zenon_L301_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.82/65.98 apply (zenon_L228_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.82/65.98 apply (zenon_L229_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.82/65.98 apply (zenon_L230_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.82/65.98 apply (zenon_L232_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H260. zenon_intro zenon_H25f. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H20a. zenon_intro zenon_H230. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.82/65.98 exact (zenon_H232 zenon_H22f). % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.82/65.98 apply (zenon_L225_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.82/65.98 apply (zenon_L236_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.82/65.98 apply (zenon_L311_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.82/65.98 apply (zenon_L214_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.82/65.98 apply (zenon_L215_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.82/65.98 exact (zenon_H1ff zenon_H1fb). % 65.82/65.98 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H349 ]. % 65.82/65.98 apply (zenon_L470_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H2be | zenon_intro zenon_H34a ]. % 65.82/65.98 apply (zenon_L311_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2ce ]. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H22f | zenon_intro zenon_H294 ]. % 65.82/65.98 exact (zenon_H232 zenon_H22f). % 65.82/65.98 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H282 | zenon_intro zenon_H295 ]. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H23e | zenon_intro zenon_H3c2 ]. % 65.82/65.98 apply (zenon_L250_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3c2); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H3c3 ]. % 65.82/65.98 apply (zenon_L308_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H3c3); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H3bd ]. % 65.82/65.98 apply (zenon_L463_); trivial. % 65.82/65.98 apply (zenon_L418_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H289 | zenon_intro zenon_H28f ]. % 65.82/65.98 apply (zenon_L252_); trivial. % 65.82/65.98 apply (zenon_L253_); trivial. % 65.82/65.98 apply (zenon_L472_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.82/65.98 apply (zenon_L428_); trivial. % 65.82/65.98 apply (zenon_L231_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.82/65.98 apply (zenon_L240_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.82/65.98 apply (zenon_L466_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.82/65.98 apply (zenon_L247_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.82/65.98 apply (zenon_L467_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.82/65.98 apply (zenon_L263_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.82/65.98 apply (zenon_L264_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.82/65.98 apply (zenon_L266_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.82/65.98 apply (zenon_L436_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.82/65.98 apply (zenon_L269_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.82/65.98 apply (zenon_L468_); trivial. % 65.82/65.98 apply (zenon_L301_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.82/65.98 apply (zenon_L228_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.82/65.98 apply (zenon_L229_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.82/65.98 apply (zenon_L461_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.82/65.98 apply (zenon_L232_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H260. zenon_intro zenon_H25f. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H20a. zenon_intro zenon_H230. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.82/65.98 apply (zenon_L225_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.82/65.98 apply (zenon_L236_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.82/65.98 apply (zenon_L311_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.82/65.98 apply (zenon_L214_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.82/65.98 apply (zenon_L215_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.82/65.98 exact (zenon_H1ff zenon_H1fb). % 65.82/65.98 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H349 ]. % 65.82/65.98 apply (zenon_L470_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H2be | zenon_intro zenon_H34a ]. % 65.82/65.98 apply (zenon_L311_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2ce ]. % 65.82/65.98 apply (zenon_L320_); trivial. % 65.82/65.98 apply (zenon_L321_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.82/65.98 apply (zenon_L240_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.82/65.98 apply (zenon_L466_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.82/65.98 apply (zenon_L247_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.82/65.98 apply (zenon_L467_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.82/65.98 apply (zenon_L263_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.82/65.98 apply (zenon_L264_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.82/65.98 apply (zenon_L266_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.82/65.98 apply (zenon_L436_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.82/65.98 apply (zenon_L269_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.82/65.98 apply (zenon_L468_); trivial. % 65.82/65.98 apply (zenon_L301_); trivial. % 65.82/65.98 apply (zenon_L328_); trivial. % 65.82/65.98 apply (zenon_L484_); trivial. % 65.82/65.98 (* end of lemma zenon_L485_ *) % 65.82/65.98 assert (zenon_L486_ : (~((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e10))))) -> ((op1 (e11) (e10)) = (e11)) -> False). % 65.82/65.98 do 0 intro. intros zenon_H3f5 zenon_H260. % 65.82/65.98 cut (((e11) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f1]. % 65.82/65.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 65.82/65.98 congruence. % 65.82/65.98 apply zenon_H245. apply refl_equal. % 65.82/65.98 apply zenon_H2f1. apply sym_equal. exact zenon_H260. % 65.82/65.98 (* end of lemma zenon_L486_ *) % 65.82/65.98 assert (zenon_L487_ : ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> False). % 65.82/65.98 do 0 intro. intros zenon_H3f6 zenon_H260 zenon_H2ef. % 65.82/65.98 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ]. % 65.82/65.98 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e11) (e10)) = (op1 (e11) (e11)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H2ef. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H24a. % 65.82/65.98 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H24b]. % 65.82/65.98 cut (((op1 (e11) (e11)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f0]. % 65.82/65.98 congruence. % 65.82/65.98 cut (((op1 (e11) (op1 (e11) (e10))) = (e11)) = ((op1 (e11) (e11)) = (op1 (e11) (e10)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H2f0. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H3f6. % 65.82/65.98 cut (((e11) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f1]. % 65.82/65.98 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3f7]. % 65.82/65.98 congruence. % 65.82/65.98 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ]. % 65.82/65.98 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e11)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H3f7. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H24a. % 65.82/65.98 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H24b]. % 65.82/65.98 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3f5]. % 65.82/65.98 congruence. % 65.82/65.98 apply (zenon_L486_); trivial. % 65.82/65.98 apply zenon_H24b. apply refl_equal. % 65.82/65.98 apply zenon_H24b. apply refl_equal. % 65.82/65.98 apply zenon_H2f1. apply sym_equal. exact zenon_H260. % 65.82/65.98 apply zenon_H24b. apply refl_equal. % 65.82/65.98 apply zenon_H24b. apply refl_equal. % 65.82/65.98 (* end of lemma zenon_L487_ *) % 65.82/65.98 assert (zenon_L488_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> False). % 65.82/65.98 do 0 intro. intros zenon_H25e zenon_H3f6 zenon_H2ef. % 65.82/65.98 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H260. zenon_intro zenon_H25f. % 65.82/65.98 apply (zenon_L487_); trivial. % 65.82/65.98 (* end of lemma zenon_L488_ *) % 65.82/65.98 assert (zenon_L489_ : (~((op1 (e11) (e10)) = (op1 (e11) (op1 (e11) (e10))))) -> ((op1 (e11) (e10)) = (e10)) -> False). % 65.82/65.98 do 0 intro. intros zenon_H3f8 zenon_H236. % 65.82/65.98 cut (((e10) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2db]. % 65.82/65.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 65.82/65.98 congruence. % 65.82/65.98 apply zenon_H245. apply refl_equal. % 65.82/65.98 apply zenon_H2db. apply sym_equal. exact zenon_H236. % 65.82/65.98 (* end of lemma zenon_L489_ *) % 65.82/65.98 assert (zenon_L490_ : (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (e11)) = (e11)) -> False). % 65.82/65.98 do 0 intro. intros zenon_H2ef zenon_H3f6 zenon_H236 zenon_H247. % 65.82/65.98 cut (((op1 (e11) (op1 (e11) (e10))) = (e11)) = ((op1 (e11) (e10)) = (op1 (e11) (e11)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H2ef. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H3f6. % 65.82/65.98 cut (((e11) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H248]. % 65.82/65.98 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3f9]. % 65.82/65.98 congruence. % 65.82/65.98 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ]. % 65.82/65.98 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e10)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H3f9. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H269. % 65.82/65.98 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H26a]. % 65.82/65.98 cut (((op1 (e11) (e10)) = (op1 (e11) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3f8]. % 65.82/65.98 congruence. % 65.82/65.98 apply (zenon_L489_); trivial. % 65.82/65.98 apply zenon_H26a. apply refl_equal. % 65.82/65.98 apply zenon_H26a. apply refl_equal. % 65.82/65.98 apply zenon_H248. apply sym_equal. exact zenon_H247. % 65.82/65.98 (* end of lemma zenon_L490_ *) % 65.82/65.98 assert (zenon_L491_ : (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (e12)) = (e11)) -> False). % 65.82/65.98 do 0 intro. intros zenon_H265 zenon_H3f6 zenon_H236 zenon_H266. % 65.82/65.98 cut (((op1 (e11) (op1 (e11) (e10))) = (e11)) = ((op1 (e11) (e10)) = (op1 (e11) (e12)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H265. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H3f6. % 65.82/65.98 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H267]. % 65.82/65.98 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3f9]. % 65.82/65.98 congruence. % 65.82/65.98 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ]. % 65.82/65.98 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e10)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H3f9. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H269. % 65.82/65.98 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H26a]. % 65.82/65.98 cut (((op1 (e11) (e10)) = (op1 (e11) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3f8]. % 65.82/65.98 congruence. % 65.82/65.98 apply (zenon_L489_); trivial. % 65.82/65.98 apply zenon_H26a. apply refl_equal. % 65.82/65.98 apply zenon_H26a. apply refl_equal. % 65.82/65.98 apply zenon_H267. apply sym_equal. exact zenon_H266. % 65.82/65.98 (* end of lemma zenon_L491_ *) % 65.82/65.98 assert (zenon_L492_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.98 do 0 intro. intros zenon_H2f4 zenon_H2ef zenon_H236 zenon_H3f6 zenon_H265 zenon_H252 zenon_H219. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H260 | zenon_intro zenon_H2f5 ]. % 65.82/65.98 apply (zenon_L487_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H247 | zenon_intro zenon_H2f6 ]. % 65.82/65.98 apply (zenon_L490_); trivial. % 65.82/65.98 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H266 | zenon_intro zenon_H27b ]. % 65.82/65.98 apply (zenon_L491_); trivial. % 65.82/65.98 apply (zenon_L290_); trivial. % 65.82/65.98 (* end of lemma zenon_L492_ *) % 65.82/65.98 assert (zenon_L493_ : (~((op1 (e11) (e12)) = (op1 (e11) (op1 (e11) (e10))))) -> ((op1 (e11) (e10)) = (e12)) -> False). % 65.82/65.98 do 0 intro. intros zenon_H3fa zenon_H375. % 65.82/65.98 cut (((e12) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H377]. % 65.82/65.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 65.82/65.98 congruence. % 65.82/65.98 apply zenon_H245. apply refl_equal. % 65.82/65.98 apply zenon_H377. apply sym_equal. exact zenon_H375. % 65.82/65.98 (* end of lemma zenon_L493_ *) % 65.82/65.98 assert (zenon_L494_ : ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((op1 (e11) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> False). % 65.82/65.98 do 0 intro. intros zenon_H3f6 zenon_H375 zenon_H247 zenon_H26b. % 65.82/65.98 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H315 | zenon_intro zenon_H316 ]. % 65.82/65.98 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (e11)) = (op1 (e11) (e12)))). % 65.82/65.98 intro zenon_D_pnotp. % 65.82/65.98 apply zenon_H26b. % 65.82/65.98 rewrite <- zenon_D_pnotp. % 65.82/65.98 exact zenon_H315. % 65.82/65.98 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H316]. % 65.82/65.99 cut (((op1 (e11) (e12)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3fb]. % 65.82/65.99 congruence. % 65.82/65.99 cut (((op1 (e11) (op1 (e11) (e10))) = (e11)) = ((op1 (e11) (e12)) = (op1 (e11) (e11)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H3fb. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H3f6. % 65.82/65.99 cut (((e11) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H248]. % 65.82/65.99 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3fc]. % 65.82/65.99 congruence. % 65.82/65.99 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H315 | zenon_intro zenon_H316 ]. % 65.82/65.99 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e12)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H3fc. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H315. % 65.82/65.99 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H316]. % 65.82/65.99 cut (((op1 (e11) (e12)) = (op1 (e11) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3fa]. % 65.82/65.99 congruence. % 65.82/65.99 apply (zenon_L493_); trivial. % 65.82/65.99 apply zenon_H316. apply refl_equal. % 65.82/65.99 apply zenon_H316. apply refl_equal. % 65.82/65.99 apply zenon_H248. apply sym_equal. exact zenon_H247. % 65.82/65.99 apply zenon_H316. apply refl_equal. % 65.82/65.99 apply zenon_H316. apply refl_equal. % 65.82/65.99 (* end of lemma zenon_L494_ *) % 65.82/65.99 assert (zenon_L495_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H252 zenon_H3f6 zenon_H3fd zenon_H219. % 65.82/65.99 cut (((op1 (e11) (op1 (e11) (e10))) = (e11)) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H252. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H3f6. % 65.82/65.99 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H254]. % 65.82/65.99 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3fe]. % 65.82/65.99 congruence. % 65.82/65.99 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H256 | zenon_intro zenon_H257 ]. % 65.82/65.99 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e13)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H3fe. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H256. % 65.82/65.99 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H257]. % 65.82/65.99 cut (((op1 (e11) (e13)) = (op1 (e11) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3ff]. % 65.82/65.99 congruence. % 65.82/65.99 cut (((e13) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H400]. % 65.82/65.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 65.82/65.99 congruence. % 65.82/65.99 apply zenon_H245. apply refl_equal. % 65.82/65.99 apply zenon_H400. apply sym_equal. exact zenon_H3fd. % 65.82/65.99 apply zenon_H257. apply refl_equal. % 65.82/65.99 apply zenon_H257. apply refl_equal. % 65.82/65.99 exact (zenon_H254 zenon_H219). % 65.82/65.99 (* end of lemma zenon_L495_ *) % 65.82/65.99 assert (zenon_L496_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H401 zenon_H2f4 zenon_H2ef zenon_H249 zenon_H251 zenon_H26b zenon_H265 zenon_H266 zenon_H25a zenon_H252 zenon_H3f6 zenon_H219. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H401); [ zenon_intro zenon_H236 | zenon_intro zenon_H402 ]. % 65.82/65.99 apply (zenon_L492_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H402); [ zenon_intro zenon_H260 | zenon_intro zenon_H403 ]. % 65.82/65.99 apply (zenon_L487_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H403); [ zenon_intro zenon_H375 | zenon_intro zenon_H3fd ]. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H20d | zenon_intro zenon_H25c ]. % 65.82/65.99 apply (zenon_L242_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H247 | zenon_intro zenon_H25d ]. % 65.82/65.99 apply (zenon_L494_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H24f | zenon_intro zenon_H253 ]. % 65.82/65.99 exact (zenon_H251 zenon_H24f). % 65.82/65.99 apply (zenon_L237_); trivial. % 65.82/65.99 apply (zenon_L495_); trivial. % 65.82/65.99 (* end of lemma zenon_L496_ *) % 65.82/65.99 assert (zenon_L497_ : (((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H26c zenon_H401 zenon_H2f4 zenon_H2ef zenon_H249 zenon_H26b zenon_H265 zenon_H25a zenon_H252 zenon_H3f6 zenon_H219. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H266. zenon_intro zenon_H26d. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H26e. zenon_intro zenon_H23f. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.82/65.99 apply (zenon_L496_); trivial. % 65.82/65.99 (* end of lemma zenon_L497_ *) % 65.82/65.99 assert (zenon_L498_ : (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> False). % 65.82/65.99 do 0 intro. intros zenon_H2f7 zenon_H3f6 zenon_H236 zenon_H2f8. % 65.82/65.99 cut (((op1 (e11) (op1 (e11) (e10))) = (e11)) = ((op1 (e11) (e10)) = (op1 (e12) (e10)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H2f7. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H3f6. % 65.82/65.99 cut (((e11) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f9]. % 65.82/65.99 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3f9]. % 65.82/65.99 congruence. % 65.82/65.99 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ]. % 65.82/65.99 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e10)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H3f9. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H269. % 65.82/65.99 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H26a]. % 65.82/65.99 cut (((op1 (e11) (e10)) = (op1 (e11) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3f8]. % 65.82/65.99 congruence. % 65.82/65.99 apply (zenon_L489_); trivial. % 65.82/65.99 apply zenon_H26a. apply refl_equal. % 65.82/65.99 apply zenon_H26a. apply refl_equal. % 65.82/65.99 apply zenon_H2f9. apply sym_equal. exact zenon_H2f8. % 65.82/65.99 (* end of lemma zenon_L498_ *) % 65.82/65.99 assert (zenon_L499_ : ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((op1 (e11) (e10)) = (e12)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H3f6 zenon_H375 zenon_H2a8 zenon_H299. % 65.82/65.99 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H315 | zenon_intro zenon_H316 ]. % 65.82/65.99 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H299. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H315. % 65.82/65.99 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H316]. % 65.82/65.99 cut (((op1 (e11) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H317]. % 65.82/65.99 congruence. % 65.82/65.99 cut (((op1 (e11) (op1 (e11) (e10))) = (e11)) = ((op1 (e11) (e12)) = (op1 (e10) (e12)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H317. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H3f6. % 65.82/65.99 cut (((e11) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H318]. % 65.82/65.99 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3fc]. % 65.82/65.99 congruence. % 65.82/65.99 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H315 | zenon_intro zenon_H316 ]. % 65.82/65.99 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e12)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H3fc. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H315. % 65.82/65.99 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H316]. % 65.82/65.99 cut (((op1 (e11) (e12)) = (op1 (e11) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3fa]. % 65.82/65.99 congruence. % 65.82/65.99 apply (zenon_L493_); trivial. % 65.82/65.99 apply zenon_H316. apply refl_equal. % 65.82/65.99 apply zenon_H316. apply refl_equal. % 65.82/65.99 apply zenon_H318. apply sym_equal. exact zenon_H2a8. % 65.82/65.99 apply zenon_H316. apply refl_equal. % 65.82/65.99 apply zenon_H316. apply refl_equal. % 65.82/65.99 (* end of lemma zenon_L499_ *) % 65.82/65.99 assert (zenon_L500_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H401 zenon_H2f8 zenon_H2f7 zenon_H2ef zenon_H299 zenon_H2a8 zenon_H252 zenon_H3f6 zenon_H219. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H401); [ zenon_intro zenon_H236 | zenon_intro zenon_H402 ]. % 65.82/65.99 apply (zenon_L498_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H402); [ zenon_intro zenon_H260 | zenon_intro zenon_H403 ]. % 65.82/65.99 apply (zenon_L487_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H403); [ zenon_intro zenon_H375 | zenon_intro zenon_H3fd ]. % 65.82/65.99 apply (zenon_L499_); trivial. % 65.82/65.99 apply (zenon_L495_); trivial. % 65.82/65.99 (* end of lemma zenon_L500_ *) % 65.82/65.99 assert (zenon_L501_ : (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e11)) = (e11)) -> False). % 65.82/65.99 do 0 intro. intros zenon_H367 zenon_H3f6 zenon_H260 zenon_H26e. % 65.82/65.99 cut (((op1 (e11) (op1 (e11) (e10))) = (e11)) = ((op1 (e11) (e11)) = (op1 (e12) (e11)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H367. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H3f6. % 65.82/65.99 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H368]. % 65.82/65.99 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3f7]. % 65.82/65.99 congruence. % 65.82/65.99 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ]. % 65.82/65.99 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e11)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H3f7. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H24a. % 65.82/65.99 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H24b]. % 65.82/65.99 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3f5]. % 65.82/65.99 congruence. % 65.82/65.99 apply (zenon_L486_); trivial. % 65.82/65.99 apply zenon_H24b. apply refl_equal. % 65.82/65.99 apply zenon_H24b. apply refl_equal. % 65.82/65.99 apply zenon_H368. apply sym_equal. exact zenon_H26e. % 65.82/65.99 (* end of lemma zenon_L501_ *) % 65.82/65.99 assert (zenon_L502_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H401 zenon_H247 zenon_H2ef zenon_H26e zenon_H367 zenon_H299 zenon_H2a8 zenon_H252 zenon_H3f6 zenon_H219. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H401); [ zenon_intro zenon_H236 | zenon_intro zenon_H402 ]. % 65.82/65.99 apply (zenon_L490_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H402); [ zenon_intro zenon_H260 | zenon_intro zenon_H403 ]. % 65.82/65.99 apply (zenon_L501_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H403); [ zenon_intro zenon_H375 | zenon_intro zenon_H3fd ]. % 65.82/65.99 apply (zenon_L499_); trivial. % 65.82/65.99 apply (zenon_L495_); trivial. % 65.82/65.99 (* end of lemma zenon_L502_ *) % 65.82/65.99 assert (zenon_L503_ : (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((op1 (e11) (e10)) = (e12)) -> ((op1 (e12) (e12)) = (e11)) -> False). % 65.82/65.99 do 0 intro. intros zenon_H35d zenon_H3f6 zenon_H375 zenon_H35e. % 65.82/65.99 cut (((op1 (e11) (op1 (e11) (e10))) = (e11)) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H35d. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H3f6. % 65.82/65.99 cut (((e11) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35f]. % 65.82/65.99 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3fc]. % 65.82/65.99 congruence. % 65.82/65.99 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H315 | zenon_intro zenon_H316 ]. % 65.82/65.99 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e12)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H3fc. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H315. % 65.82/65.99 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H316]. % 65.82/65.99 cut (((op1 (e11) (e12)) = (op1 (e11) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3fa]. % 65.82/65.99 congruence. % 65.82/65.99 apply (zenon_L493_); trivial. % 65.82/65.99 apply zenon_H316. apply refl_equal. % 65.82/65.99 apply zenon_H316. apply refl_equal. % 65.82/65.99 apply zenon_H35f. apply sym_equal. exact zenon_H35e. % 65.82/65.99 (* end of lemma zenon_L503_ *) % 65.82/65.99 assert (zenon_L504_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H401 zenon_H247 zenon_H2ef zenon_H35e zenon_H35d zenon_H252 zenon_H3f6 zenon_H219. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H401); [ zenon_intro zenon_H236 | zenon_intro zenon_H402 ]. % 65.82/65.99 apply (zenon_L490_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H402); [ zenon_intro zenon_H260 | zenon_intro zenon_H403 ]. % 65.82/65.99 apply (zenon_L487_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H403); [ zenon_intro zenon_H375 | zenon_intro zenon_H3fd ]. % 65.82/65.99 apply (zenon_L503_); trivial. % 65.82/65.99 apply (zenon_L495_); trivial. % 65.82/65.99 (* end of lemma zenon_L504_ *) % 65.82/65.99 assert (zenon_L505_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H372 zenon_H2f7 zenon_H2a8 zenon_H299 zenon_H367 zenon_H3f6 zenon_H252 zenon_H35d zenon_H2ef zenon_H247 zenon_H401 zenon_H36e zenon_H219. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H373 ]. % 65.82/65.99 apply (zenon_L500_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H26e | zenon_intro zenon_H374 ]. % 65.82/65.99 apply (zenon_L502_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H35e | zenon_intro zenon_H36f ]. % 65.82/65.99 apply (zenon_L504_); trivial. % 65.82/65.99 apply (zenon_L354_); trivial. % 65.82/65.99 (* end of lemma zenon_L505_ *) % 65.82/65.99 assert (zenon_L506_ : (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (e12)) = (e11)) -> False). % 65.82/65.99 do 0 intro. intros zenon_H26b zenon_H3f6 zenon_H260 zenon_H266. % 65.82/65.99 cut (((op1 (e11) (op1 (e11) (e10))) = (e11)) = ((op1 (e11) (e11)) = (op1 (e11) (e12)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H26b. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H3f6. % 65.82/65.99 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H267]. % 65.82/65.99 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3f7]. % 65.82/65.99 congruence. % 65.82/65.99 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H24a | zenon_intro zenon_H24b ]. % 65.82/65.99 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e11)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H3f7. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H24a. % 65.82/65.99 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H24b]. % 65.82/65.99 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3f5]. % 65.82/65.99 congruence. % 65.82/65.99 apply (zenon_L486_); trivial. % 65.82/65.99 apply zenon_H24b. apply refl_equal. % 65.82/65.99 apply zenon_H24b. apply refl_equal. % 65.82/65.99 apply zenon_H267. apply sym_equal. exact zenon_H266. % 65.82/65.99 (* end of lemma zenon_L506_ *) % 65.82/65.99 assert (zenon_L507_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H401 zenon_H265 zenon_H266 zenon_H249 zenon_H24e zenon_H1eb zenon_H26b zenon_H25b zenon_H25a zenon_H252 zenon_H3f6 zenon_H219. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H401); [ zenon_intro zenon_H236 | zenon_intro zenon_H402 ]. % 65.82/65.99 apply (zenon_L491_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H402); [ zenon_intro zenon_H260 | zenon_intro zenon_H403 ]. % 65.82/65.99 apply (zenon_L506_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H403); [ zenon_intro zenon_H375 | zenon_intro zenon_H3fd ]. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H20d | zenon_intro zenon_H25c ]. % 65.82/65.99 exact (zenon_H25b zenon_H20d). % 65.82/65.99 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H247 | zenon_intro zenon_H25d ]. % 65.82/65.99 apply (zenon_L494_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H24f | zenon_intro zenon_H253 ]. % 65.82/65.99 apply (zenon_L236_); trivial. % 65.82/65.99 apply (zenon_L237_); trivial. % 65.82/65.99 apply (zenon_L495_); trivial. % 65.82/65.99 (* end of lemma zenon_L507_ *) % 65.82/65.99 assert (zenon_L508_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H2f4 zenon_H360 zenon_H2ef zenon_H35d zenon_H372 zenon_H2f7 zenon_H299 zenon_H367 zenon_H36e zenon_H364 zenon_H3f6 zenon_H25a zenon_H25b zenon_H26b zenon_H1eb zenon_H24e zenon_H249 zenon_H265 zenon_H401 zenon_H252 zenon_H219. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H260 | zenon_intro zenon_H2f5 ]. % 65.82/65.99 apply (zenon_L487_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H247 | zenon_intro zenon_H2f6 ]. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H365 ]. % 65.82/65.99 apply (zenon_L505_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H266 | zenon_intro zenon_H366 ]. % 65.82/65.99 apply (zenon_L507_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H35e | zenon_intro zenon_H361 ]. % 65.82/65.99 apply (zenon_L504_); trivial. % 65.82/65.99 apply (zenon_L343_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H266 | zenon_intro zenon_H27b ]. % 65.82/65.99 apply (zenon_L507_); trivial. % 65.82/65.99 apply (zenon_L290_); trivial. % 65.82/65.99 (* end of lemma zenon_L508_ *) % 65.82/65.99 assert (zenon_L509_ : (((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H2b2 zenon_H2f4 zenon_H360 zenon_H2ef zenon_H35d zenon_H372 zenon_H2f7 zenon_H299 zenon_H367 zenon_H36e zenon_H364 zenon_H3f6 zenon_H25a zenon_H26b zenon_H1eb zenon_H24e zenon_H249 zenon_H265 zenon_H401 zenon_H252 zenon_H219. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.82/65.99 apply (zenon_L508_); trivial. % 65.82/65.99 (* end of lemma zenon_L509_ *) % 65.82/65.99 assert (zenon_L510_ : (((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H2cf zenon_H2f4 zenon_H360 zenon_H2ef zenon_H35d zenon_H372 zenon_H2f7 zenon_H299 zenon_H367 zenon_H36e zenon_H364 zenon_H3f6 zenon_H25a zenon_H26b zenon_H1eb zenon_H24e zenon_H249 zenon_H265 zenon_H401 zenon_H252 zenon_H219. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.82/65.99 apply (zenon_L508_); trivial. % 65.82/65.99 (* end of lemma zenon_L510_ *) % 65.82/65.99 assert (zenon_L511_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H401 zenon_H266 zenon_H265 zenon_H26e zenon_H367 zenon_H299 zenon_H2a8 zenon_H252 zenon_H3f6 zenon_H219. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H401); [ zenon_intro zenon_H236 | zenon_intro zenon_H402 ]. % 65.82/65.99 apply (zenon_L491_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H402); [ zenon_intro zenon_H260 | zenon_intro zenon_H403 ]. % 65.82/65.99 apply (zenon_L501_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H403); [ zenon_intro zenon_H375 | zenon_intro zenon_H3fd ]. % 65.82/65.99 apply (zenon_L499_); trivial. % 65.82/65.99 apply (zenon_L495_); trivial. % 65.82/65.99 (* end of lemma zenon_L511_ *) % 65.82/65.99 assert (zenon_L512_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H401 zenon_H266 zenon_H265 zenon_H2ef zenon_H35e zenon_H35d zenon_H252 zenon_H3f6 zenon_H219. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H401); [ zenon_intro zenon_H236 | zenon_intro zenon_H402 ]. % 65.82/65.99 apply (zenon_L491_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H402); [ zenon_intro zenon_H260 | zenon_intro zenon_H403 ]. % 65.82/65.99 apply (zenon_L487_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H403); [ zenon_intro zenon_H375 | zenon_intro zenon_H3fd ]. % 65.82/65.99 apply (zenon_L503_); trivial. % 65.82/65.99 apply (zenon_L495_); trivial. % 65.82/65.99 (* end of lemma zenon_L512_ *) % 65.82/65.99 assert (zenon_L513_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H372 zenon_H2f7 zenon_H2a8 zenon_H299 zenon_H367 zenon_H3f6 zenon_H252 zenon_H35d zenon_H2ef zenon_H265 zenon_H266 zenon_H401 zenon_H36e zenon_H219. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H373 ]. % 65.82/65.99 apply (zenon_L500_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H26e | zenon_intro zenon_H374 ]. % 65.82/65.99 apply (zenon_L511_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H35e | zenon_intro zenon_H36f ]. % 65.82/65.99 apply (zenon_L512_); trivial. % 65.82/65.99 apply (zenon_L354_); trivial. % 65.82/65.99 (* end of lemma zenon_L513_ *) % 65.82/65.99 assert (zenon_L514_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H2f4 zenon_H36e zenon_H401 zenon_H265 zenon_H2ef zenon_H35d zenon_H3f6 zenon_H367 zenon_H299 zenon_H2a8 zenon_H2f7 zenon_H372 zenon_H252 zenon_H219. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H260 | zenon_intro zenon_H2f5 ]. % 65.82/65.99 apply (zenon_L487_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H247 | zenon_intro zenon_H2f6 ]. % 65.82/65.99 apply (zenon_L505_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H266 | zenon_intro zenon_H27b ]. % 65.82/65.99 apply (zenon_L513_); trivial. % 65.82/65.99 apply (zenon_L290_); trivial. % 65.82/65.99 (* end of lemma zenon_L514_ *) % 65.82/65.99 assert (zenon_L515_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H401 zenon_H265 zenon_H266 zenon_H249 zenon_H251 zenon_H26b zenon_H2f7 zenon_H2f8 zenon_H25a zenon_H252 zenon_H3f6 zenon_H219. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H401); [ zenon_intro zenon_H236 | zenon_intro zenon_H402 ]. % 65.82/65.99 apply (zenon_L491_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H402); [ zenon_intro zenon_H260 | zenon_intro zenon_H403 ]. % 65.82/65.99 apply (zenon_L506_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H403); [ zenon_intro zenon_H375 | zenon_intro zenon_H3fd ]. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H20d | zenon_intro zenon_H25c ]. % 65.82/65.99 apply (zenon_L293_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H247 | zenon_intro zenon_H25d ]. % 65.82/65.99 apply (zenon_L494_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H24f | zenon_intro zenon_H253 ]. % 65.82/65.99 exact (zenon_H251 zenon_H24f). % 65.82/65.99 apply (zenon_L237_); trivial. % 65.82/65.99 apply (zenon_L495_); trivial. % 65.82/65.99 (* end of lemma zenon_L515_ *) % 65.82/65.99 assert (zenon_L516_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e12))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H364 zenon_H372 zenon_H299 zenon_H367 zenon_H36e zenon_H2f4 zenon_H25a zenon_H2f8 zenon_H2f7 zenon_H26b zenon_H251 zenon_H249 zenon_H265 zenon_H3f6 zenon_H252 zenon_H35d zenon_H2ef zenon_H247 zenon_H401 zenon_H360 zenon_H219. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H365 ]. % 65.82/65.99 apply (zenon_L514_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H266 | zenon_intro zenon_H366 ]. % 65.82/65.99 apply (zenon_L515_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H35e | zenon_intro zenon_H361 ]. % 65.82/65.99 apply (zenon_L504_); trivial. % 65.82/65.99 apply (zenon_L343_); trivial. % 65.82/65.99 (* end of lemma zenon_L516_ *) % 65.82/65.99 assert (zenon_L517_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e12)) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H3d1 zenon_H1ee zenon_H1fa zenon_H375 zenon_H3f6 zenon_H35d zenon_H2c4 zenon_H392 zenon_H38a zenon_H3c7 zenon_H3bc zenon_H2c6 zenon_H1eb zenon_H219 zenon_H272. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H3d1); [ zenon_intro zenon_H1fb | zenon_intro zenon_H3d2 ]. % 65.82/65.99 apply (zenon_L216_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H3d2); [ zenon_intro zenon_H35e | zenon_intro zenon_H3d3 ]. % 65.82/65.99 apply (zenon_L503_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H3d3); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H3c6 ]. % 65.82/65.99 exact (zenon_H2c4 zenon_H2c2). % 65.82/65.99 apply (zenon_L424_); trivial. % 65.82/65.99 (* end of lemma zenon_L517_ *) % 65.82/65.99 assert (zenon_L518_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H401 zenon_H2f8 zenon_H2f7 zenon_H2ef zenon_H272 zenon_H1eb zenon_H2c6 zenon_H3bc zenon_H3c7 zenon_H38a zenon_H392 zenon_H2c4 zenon_H35d zenon_H1fa zenon_H1ee zenon_H3d1 zenon_H252 zenon_H3f6 zenon_H219. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H401); [ zenon_intro zenon_H236 | zenon_intro zenon_H402 ]. % 65.82/65.99 apply (zenon_L498_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H402); [ zenon_intro zenon_H260 | zenon_intro zenon_H403 ]. % 65.82/65.99 apply (zenon_L487_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H403); [ zenon_intro zenon_H375 | zenon_intro zenon_H3fd ]. % 65.82/65.99 apply (zenon_L517_); trivial. % 65.82/65.99 apply (zenon_L495_); trivial. % 65.82/65.99 (* end of lemma zenon_L518_ *) % 65.82/65.99 assert (zenon_L519_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H401 zenon_H2f8 zenon_H2f7 zenon_H266 zenon_H26b zenon_H272 zenon_H1eb zenon_H2c6 zenon_H3bc zenon_H3c7 zenon_H38a zenon_H392 zenon_H2c4 zenon_H35d zenon_H1fa zenon_H1ee zenon_H3d1 zenon_H252 zenon_H3f6 zenon_H219. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H401); [ zenon_intro zenon_H236 | zenon_intro zenon_H402 ]. % 65.82/65.99 apply (zenon_L498_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H402); [ zenon_intro zenon_H260 | zenon_intro zenon_H403 ]. % 65.82/65.99 apply (zenon_L506_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H403); [ zenon_intro zenon_H375 | zenon_intro zenon_H3fd ]. % 65.82/65.99 apply (zenon_L517_); trivial. % 65.82/65.99 apply (zenon_L495_); trivial. % 65.82/65.99 (* end of lemma zenon_L519_ *) % 65.82/65.99 assert (zenon_L520_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H401 zenon_H266 zenon_H265 zenon_H26e zenon_H367 zenon_H272 zenon_H1eb zenon_H2c6 zenon_H3bc zenon_H3c7 zenon_H38a zenon_H392 zenon_H2c4 zenon_H35d zenon_H1fa zenon_H1ee zenon_H3d1 zenon_H252 zenon_H3f6 zenon_H219. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H401); [ zenon_intro zenon_H236 | zenon_intro zenon_H402 ]. % 65.82/65.99 apply (zenon_L491_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H402); [ zenon_intro zenon_H260 | zenon_intro zenon_H403 ]. % 65.82/65.99 apply (zenon_L501_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H403); [ zenon_intro zenon_H375 | zenon_intro zenon_H3fd ]. % 65.82/65.99 apply (zenon_L517_); trivial. % 65.82/65.99 apply (zenon_L495_); trivial. % 65.82/65.99 (* end of lemma zenon_L520_ *) % 65.82/65.99 assert (zenon_L521_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H372 zenon_H26b zenon_H2f7 zenon_H3d1 zenon_H1ee zenon_H1fa zenon_H2c4 zenon_H392 zenon_H38a zenon_H3c7 zenon_H3bc zenon_H2c6 zenon_H1eb zenon_H272 zenon_H367 zenon_H3f6 zenon_H252 zenon_H35d zenon_H2ef zenon_H265 zenon_H266 zenon_H401 zenon_H36e zenon_H219. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H373 ]. % 65.82/65.99 apply (zenon_L519_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H26e | zenon_intro zenon_H374 ]. % 65.82/65.99 apply (zenon_L520_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H35e | zenon_intro zenon_H36f ]. % 65.82/65.99 apply (zenon_L512_); trivial. % 65.82/65.99 apply (zenon_L354_); trivial. % 65.82/65.99 (* end of lemma zenon_L521_ *) % 65.82/65.99 assert (zenon_L522_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H2f4 zenon_H36e zenon_H401 zenon_H265 zenon_H2ef zenon_H35d zenon_H3f6 zenon_H367 zenon_H272 zenon_H1eb zenon_H2c6 zenon_H3bc zenon_H3c7 zenon_H38a zenon_H392 zenon_H2c4 zenon_H1fa zenon_H1ee zenon_H3d1 zenon_H2f7 zenon_H26b zenon_H372 zenon_H252 zenon_H219. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H260 | zenon_intro zenon_H2f5 ]. % 65.82/65.99 apply (zenon_L487_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H247 | zenon_intro zenon_H2f6 ]. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H373 ]. % 65.82/65.99 apply (zenon_L518_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H26e | zenon_intro zenon_H374 ]. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H401); [ zenon_intro zenon_H236 | zenon_intro zenon_H402 ]. % 65.82/65.99 apply (zenon_L490_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H402); [ zenon_intro zenon_H260 | zenon_intro zenon_H403 ]. % 65.82/65.99 apply (zenon_L501_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H403); [ zenon_intro zenon_H375 | zenon_intro zenon_H3fd ]. % 65.82/65.99 apply (zenon_L517_); trivial. % 65.82/65.99 apply (zenon_L495_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H35e | zenon_intro zenon_H36f ]. % 65.82/65.99 apply (zenon_L504_); trivial. % 65.82/65.99 apply (zenon_L354_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H266 | zenon_intro zenon_H27b ]. % 65.82/65.99 apply (zenon_L521_); trivial. % 65.82/65.99 apply (zenon_L290_); trivial. % 65.82/65.99 (* end of lemma zenon_L522_ *) % 65.82/65.99 assert (zenon_L523_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H23c zenon_H2f4 zenon_H36e zenon_H401 zenon_H265 zenon_H2ef zenon_H35d zenon_H3f6 zenon_H367 zenon_H272 zenon_H1eb zenon_H2c6 zenon_H3bc zenon_H3c7 zenon_H38a zenon_H392 zenon_H1fa zenon_H1ee zenon_H3d1 zenon_H2f7 zenon_H26b zenon_H372 zenon_H252 zenon_H219. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H23c). zenon_intro zenon_H23e. zenon_intro zenon_H23d. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H1ef. zenon_intro zenon_H23f. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 65.82/65.99 apply (zenon_L522_); trivial. % 65.82/65.99 (* end of lemma zenon_L523_ *) % 65.82/65.99 assert (zenon_L524_ : (((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H26c zenon_H372 zenon_H26b zenon_H2f7 zenon_H3d1 zenon_H1ee zenon_H1fa zenon_H392 zenon_H38a zenon_H3c7 zenon_H3bc zenon_H2c6 zenon_H1eb zenon_H272 zenon_H367 zenon_H3f6 zenon_H252 zenon_H35d zenon_H2ef zenon_H265 zenon_H401 zenon_H36e zenon_H219. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H266. zenon_intro zenon_H26d. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H26e. zenon_intro zenon_H23f. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 65.82/65.99 apply (zenon_L521_); trivial. % 65.82/65.99 (* end of lemma zenon_L524_ *) % 65.82/65.99 assert (zenon_L525_ : (((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H33b zenon_H2f4 zenon_H36e zenon_H401 zenon_H265 zenon_H2ef zenon_H35d zenon_H3f6 zenon_H367 zenon_H272 zenon_H1eb zenon_H2c6 zenon_H3bc zenon_H3c7 zenon_H38a zenon_H392 zenon_H1fa zenon_H1ee zenon_H3d1 zenon_H2f7 zenon_H26b zenon_H372 zenon_H252 zenon_H219. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 65.82/65.99 apply (zenon_L522_); trivial. % 65.82/65.99 (* end of lemma zenon_L525_ *) % 65.82/65.99 assert (zenon_L526_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> (~((op1 (e11) (e11)) = (e10))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H2e8 zenon_H3f6 zenon_H25b zenon_H2f8 zenon_H35a zenon_H2f7 zenon_H2e4 zenon_H1ee zenon_H1eb. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H236 | zenon_intro zenon_H2e9 ]. % 65.82/65.99 apply (zenon_L498_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H20d | zenon_intro zenon_H2ea ]. % 65.82/65.99 exact (zenon_H25b zenon_H20d). % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H29b | zenon_intro zenon_H2e5 ]. % 65.82/65.99 apply (zenon_L355_); trivial. % 65.82/65.99 apply (zenon_L283_); trivial. % 65.82/65.99 (* end of lemma zenon_L526_ *) % 65.82/65.99 assert (zenon_L527_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H364 zenon_H36e zenon_H299 zenon_H2f7 zenon_H372 zenon_H26e zenon_H35a zenon_H367 zenon_H3f6 zenon_H252 zenon_H35d zenon_H2ef zenon_H247 zenon_H401 zenon_H360 zenon_H219. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H365 ]. % 65.82/65.99 apply (zenon_L505_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H266 | zenon_intro zenon_H366 ]. % 65.82/65.99 apply (zenon_L352_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H35e | zenon_intro zenon_H361 ]. % 65.82/65.99 apply (zenon_L504_); trivial. % 65.82/65.99 apply (zenon_L343_); trivial. % 65.82/65.99 (* end of lemma zenon_L527_ *) % 65.82/65.99 assert (zenon_L528_ : ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H1eb zenon_H1ee zenon_H2e4 zenon_H25b zenon_H2e8 zenon_H360 zenon_H367 zenon_H35a zenon_H372 zenon_H2f7 zenon_H299 zenon_H364 zenon_H3f6 zenon_H252 zenon_H35d zenon_H2ef zenon_H247 zenon_H401 zenon_H36e zenon_H219. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H373 ]. % 65.82/65.99 apply (zenon_L526_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H26e | zenon_intro zenon_H374 ]. % 65.82/65.99 apply (zenon_L527_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H35e | zenon_intro zenon_H36f ]. % 65.82/65.99 apply (zenon_L504_); trivial. % 65.82/65.99 apply (zenon_L354_); trivial. % 65.82/65.99 (* end of lemma zenon_L528_ *) % 65.82/65.99 assert (zenon_L529_ : (((op1 (e10) (op1 (e10) (e11))) = (e10))\/(((op1 (e11) (op1 (e11) (e11))) = (e11))\/(((op1 (e12) (op1 (e12) (e11))) = (e12))\/((op1 (e13) (op1 (e13) (e11))) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (((op1 (e10) (op1 (e10) (e12))) = (e10))\/(((op1 (e11) (op1 (e11) (e12))) = (e11))\/(((op1 (e12) (op1 (e12) (e12))) = (e12))\/((op1 (e13) (op1 (e13) (e12))) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H404 zenon_H212 zenon_H215 zenon_H204 zenon_H20c zenon_H228 zenon_H25a zenon_H24e zenon_H30f zenon_H227 zenon_H1ed zenon_H3b4 zenon_H1f4 zenon_H31d zenon_H2b4 zenon_H353 zenon_H3ef zenon_H2f4 zenon_H401 zenon_H265 zenon_H35d zenon_H367 zenon_H2f7 zenon_H26b zenon_H372 zenon_H2e8 zenon_H360 zenon_H299 zenon_H364 zenon_H2e4 zenon_H320 zenon_H1fa zenon_H1ee zenon_H3d1 zenon_H3e3 zenon_H3f6 zenon_H2ef zenon_H21e zenon_H32c zenon_H3cd zenon_H29e zenon_H3c4 zenon_H3c7 zenon_H392 zenon_H38a zenon_H3ea zenon_H27d zenon_H3cb zenon_H3db zenon_H252 zenon_H36e zenon_H3b8 zenon_H2c6 zenon_H1eb zenon_H219 zenon_H272. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.82/65.99 apply (zenon_L227_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.82/65.99 apply (zenon_L228_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.82/65.99 apply (zenon_L229_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.82/65.99 apply (zenon_L230_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.82/65.99 apply (zenon_L232_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.82/65.99 apply (zenon_L488_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.82/65.99 apply (zenon_L240_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.82/65.99 apply (zenon_L497_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.82/65.99 apply (zenon_L247_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.82/65.99 apply (zenon_L509_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.82/65.99 apply (zenon_L263_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.82/65.99 apply (zenon_L264_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.82/65.99 apply (zenon_L266_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.82/65.99 apply (zenon_L510_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.82/65.99 apply (zenon_L269_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H260 | zenon_intro zenon_H2f5 ]. % 65.82/65.99 apply (zenon_L487_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H247 | zenon_intro zenon_H2f6 ]. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H373 ]. % 65.82/65.99 apply (zenon_L516_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H26e | zenon_intro zenon_H374 ]. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H365 ]. % 65.82/65.99 apply (zenon_L502_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H266 | zenon_intro zenon_H366 ]. % 65.82/65.99 apply (zenon_L496_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H35e | zenon_intro zenon_H361 ]. % 65.82/65.99 apply (zenon_L504_); trivial. % 65.82/65.99 apply (zenon_L343_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H35e | zenon_intro zenon_H36f ]. % 65.82/65.99 apply (zenon_L504_); trivial. % 65.82/65.99 apply (zenon_L354_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H266 | zenon_intro zenon_H27b ]. % 65.82/65.99 apply (zenon_L496_); trivial. % 65.82/65.99 apply (zenon_L290_); trivial. % 65.82/65.99 apply (zenon_L301_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.82/65.99 apply (zenon_L415_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.82/65.99 apply (zenon_L228_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.82/65.99 apply (zenon_L229_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.82/65.99 apply (zenon_L523_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.82/65.99 apply (zenon_L232_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.82/65.99 apply (zenon_L488_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.82/65.99 apply (zenon_L240_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.82/65.99 apply (zenon_L524_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.82/65.99 apply (zenon_L247_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H236 | zenon_intro zenon_H2e9 ]. % 65.82/65.99 apply (zenon_L492_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H20d | zenon_intro zenon_H2ea ]. % 65.82/65.99 exact (zenon_H25b zenon_H20d). % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H29b | zenon_intro zenon_H2e5 ]. % 65.82/65.99 apply (zenon_L279_); trivial. % 65.82/65.99 apply (zenon_L283_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.82/65.99 apply (zenon_L263_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.82/65.99 apply (zenon_L264_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.82/65.99 apply (zenon_L266_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.82/65.99 apply (zenon_L436_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.82/65.99 apply (zenon_L269_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.82/65.99 apply (zenon_L525_); trivial. % 65.82/65.99 apply (zenon_L301_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.82/65.99 apply (zenon_L228_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.82/65.99 apply (zenon_L229_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.82/65.99 apply (zenon_L523_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.82/65.99 apply (zenon_L232_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.82/65.99 apply (zenon_L488_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.82/65.99 apply (zenon_L240_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.82/65.99 apply (zenon_L524_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.82/65.99 apply (zenon_L247_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H236 | zenon_intro zenon_H2e9 ]. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H260 | zenon_intro zenon_H2f5 ]. % 65.82/65.99 apply (zenon_L487_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H247 | zenon_intro zenon_H2f6 ]. % 65.82/65.99 apply (zenon_L528_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H266 | zenon_intro zenon_H27b ]. % 65.82/65.99 apply (zenon_L491_); trivial. % 65.82/65.99 apply (zenon_L290_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H20d | zenon_intro zenon_H2ea ]. % 65.82/65.99 exact (zenon_H25b zenon_H20d). % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H29b | zenon_intro zenon_H2e5 ]. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H260 | zenon_intro zenon_H2f5 ]. % 65.82/65.99 apply (zenon_L487_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H247 | zenon_intro zenon_H2f6 ]. % 65.82/65.99 apply (zenon_L528_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H266 | zenon_intro zenon_H27b ]. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H373 ]. % 65.82/65.99 apply (zenon_L355_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H26e | zenon_intro zenon_H374 ]. % 65.82/65.99 apply (zenon_L352_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H35e | zenon_intro zenon_H36f ]. % 65.82/65.99 apply (zenon_L512_); trivial. % 65.82/65.99 apply (zenon_L354_); trivial. % 65.82/65.99 apply (zenon_L290_); trivial. % 65.82/65.99 apply (zenon_L283_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.82/65.99 apply (zenon_L263_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.82/65.99 apply (zenon_L264_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.82/65.99 apply (zenon_L266_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.82/65.99 apply (zenon_L436_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.82/65.99 apply (zenon_L269_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.82/65.99 apply (zenon_L525_); trivial. % 65.82/65.99 apply (zenon_L301_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.82/65.99 apply (zenon_L228_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.82/65.99 apply (zenon_L229_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.82/65.99 apply (zenon_L461_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.82/65.99 apply (zenon_L232_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.82/65.99 apply (zenon_L488_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.82/65.99 apply (zenon_L240_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.82/65.99 apply (zenon_L466_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.82/65.99 apply (zenon_L247_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.82/65.99 apply (zenon_L467_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.82/65.99 apply (zenon_L263_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.82/65.99 apply (zenon_L264_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.82/65.99 apply (zenon_L266_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.82/65.99 apply (zenon_L436_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.82/65.99 apply (zenon_L269_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.82/65.99 apply (zenon_L468_); trivial. % 65.82/65.99 apply (zenon_L301_); trivial. % 65.82/65.99 apply (zenon_L484_); trivial. % 65.82/65.99 (* end of lemma zenon_L529_ *) % 65.82/65.99 assert (zenon_L530_ : (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> False). % 65.82/65.99 do 0 intro. intros zenon_H320 zenon_H407 zenon_H2f8 zenon_H324. % 65.82/65.99 cut (((op1 (e12) (op1 (e12) (e10))) = (e12)) = ((op1 (e12) (e11)) = (op1 (e13) (e11)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H320. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H407. % 65.82/65.99 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H387]. % 65.82/65.99 cut (((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H408]. % 65.82/65.99 congruence. % 65.82/65.99 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H1f8 ]. % 65.82/65.99 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (e11)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H408. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H1f7. % 65.82/65.99 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1f8]. % 65.82/65.99 cut (((op1 (e12) (e11)) = (op1 (e12) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H409]. % 65.82/65.99 congruence. % 65.82/65.99 cut (((e11) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f9]. % 65.82/65.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2ac]. % 65.82/65.99 congruence. % 65.82/65.99 apply zenon_H2ac. apply refl_equal. % 65.82/65.99 apply zenon_H2f9. apply sym_equal. exact zenon_H2f8. % 65.82/65.99 apply zenon_H1f8. apply refl_equal. % 65.82/65.99 apply zenon_H1f8. apply refl_equal. % 65.82/65.99 apply zenon_H387. apply sym_equal. exact zenon_H324. % 65.82/65.99 (* end of lemma zenon_L530_ *) % 65.82/65.99 assert (zenon_L531_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e12))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H392 zenon_H38a zenon_H2f8 zenon_H407 zenon_H320 zenon_H2c6 zenon_H219 zenon_H1eb zenon_H2c3. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H38b | zenon_intro zenon_H393 ]. % 65.82/65.99 apply (zenon_L386_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H324 | zenon_intro zenon_H394 ]. % 65.82/65.99 apply (zenon_L530_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H38e ]. % 65.82/65.99 apply (zenon_L265_); trivial. % 65.82/65.99 exact (zenon_H2c3 zenon_H38e). % 65.82/65.99 (* end of lemma zenon_L531_ *) % 65.82/65.99 assert (zenon_L532_ : (~((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e10))))) -> ((op1 (e12) (e10)) = (e12)) -> False). % 65.82/65.99 do 0 intro. intros zenon_H40a zenon_H2b6. % 65.82/65.99 cut (((e12) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H340]. % 65.82/65.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2ac]. % 65.82/65.99 congruence. % 65.82/65.99 apply zenon_H2ac. apply refl_equal. % 65.82/65.99 apply zenon_H340. apply sym_equal. exact zenon_H2b6. % 65.82/65.99 (* end of lemma zenon_L532_ *) % 65.82/65.99 assert (zenon_L533_ : ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H407 zenon_H2b6 zenon_H2a9 zenon_H3e3. % 65.82/65.99 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fe ]. % 65.82/65.99 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H3e3. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H1fd. % 65.82/65.99 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1fe]. % 65.82/65.99 cut (((op1 (e12) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e4]. % 65.82/65.99 congruence. % 65.82/65.99 cut (((op1 (e12) (op1 (e12) (e10))) = (e12)) = ((op1 (e12) (e12)) = (op1 (e10) (e12)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H3e4. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H407. % 65.82/65.99 cut (((e12) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2e1]. % 65.82/65.99 cut (((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H40b]. % 65.82/65.99 congruence. % 65.82/65.99 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fe ]. % 65.82/65.99 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (e12)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H40b. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H1fd. % 65.82/65.99 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1fe]. % 65.82/65.99 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H40a]. % 65.82/65.99 congruence. % 65.82/65.99 apply (zenon_L532_); trivial. % 65.82/65.99 apply zenon_H1fe. apply refl_equal. % 65.82/65.99 apply zenon_H1fe. apply refl_equal. % 65.82/65.99 apply zenon_H2e1. apply sym_equal. exact zenon_H2a9. % 65.82/65.99 apply zenon_H1fe. apply refl_equal. % 65.82/65.99 apply zenon_H1fe. apply refl_equal. % 65.82/65.99 (* end of lemma zenon_L533_ *) % 65.82/65.99 assert (zenon_L534_ : ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H407 zenon_H2b6 zenon_H2bf zenon_H35d. % 65.82/65.99 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fe ]. % 65.82/65.99 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H35d. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H1fd. % 65.82/65.99 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1fe]. % 65.82/65.99 cut (((op1 (e12) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H40c]. % 65.82/65.99 congruence. % 65.82/65.99 cut (((op1 (e12) (op1 (e12) (e10))) = (e12)) = ((op1 (e12) (e12)) = (op1 (e11) (e12)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H40c. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H407. % 65.82/65.99 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H37a]. % 65.82/65.99 cut (((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H40b]. % 65.82/65.99 congruence. % 65.82/65.99 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fe ]. % 65.82/65.99 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (e12)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H40b. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H1fd. % 65.82/65.99 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1fe]. % 65.82/65.99 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H40a]. % 65.82/65.99 congruence. % 65.82/65.99 apply (zenon_L532_); trivial. % 65.82/65.99 apply zenon_H1fe. apply refl_equal. % 65.82/65.99 apply zenon_H1fe. apply refl_equal. % 65.82/65.99 apply zenon_H37a. apply sym_equal. exact zenon_H2bf. % 65.82/65.99 apply zenon_H1fe. apply refl_equal. % 65.82/65.99 apply zenon_H1fe. apply refl_equal. % 65.82/65.99 (* end of lemma zenon_L534_ *) % 65.82/65.99 assert (zenon_L535_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> (~((op1 (e12) (e12)) = (e12))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H40d zenon_H3e3 zenon_H35d zenon_H2b6 zenon_H407 zenon_H2c4 zenon_H1eb zenon_H219 zenon_H2c6. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H40e ]. % 65.82/65.99 apply (zenon_L533_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H2bf | zenon_intro zenon_H40f ]. % 65.82/65.99 apply (zenon_L534_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H40f); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 65.82/65.99 exact (zenon_H2c4 zenon_H2c2). % 65.82/65.99 apply (zenon_L265_); trivial. % 65.82/65.99 (* end of lemma zenon_L535_ *) % 65.82/65.99 assert (zenon_L536_ : (~((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e10))))) -> ((op1 (e12) (e10)) = (e13)) -> False). % 65.82/65.99 do 0 intro. intros zenon_H410 zenon_H411. % 65.82/65.99 cut (((e13) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H412]. % 65.82/65.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2ac]. % 65.82/65.99 congruence. % 65.82/65.99 apply zenon_H2ac. apply refl_equal. % 65.82/65.99 apply zenon_H412. apply sym_equal. exact zenon_H411. % 65.82/65.99 (* end of lemma zenon_L536_ *) % 65.82/65.99 assert (zenon_L537_ : ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H407 zenon_H411 zenon_H297 zenon_H21e. % 65.82/65.99 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H34d | zenon_intro zenon_H34e ]. % 65.82/65.99 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H21e. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H34d. % 65.82/65.99 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34e]. % 65.82/65.99 cut (((op1 (e12) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34f]. % 65.82/65.99 congruence. % 65.82/65.99 cut (((op1 (e12) (op1 (e12) (e10))) = (e12)) = ((op1 (e12) (e13)) = (op1 (e10) (e13)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H34f. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H407. % 65.82/65.99 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H298]. % 65.82/65.99 cut (((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H413]. % 65.82/65.99 congruence. % 65.82/65.99 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H34d | zenon_intro zenon_H34e ]. % 65.82/65.99 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (e13)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H413. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H34d. % 65.82/65.99 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34e]. % 65.82/65.99 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H410]. % 65.82/65.99 congruence. % 65.82/65.99 apply (zenon_L536_); trivial. % 65.82/65.99 apply zenon_H34e. apply refl_equal. % 65.82/65.99 apply zenon_H34e. apply refl_equal. % 65.82/65.99 apply zenon_H298. apply sym_equal. exact zenon_H297. % 65.82/65.99 apply zenon_H34e. apply refl_equal. % 65.82/65.99 apply zenon_H34e. apply refl_equal. % 65.82/65.99 (* end of lemma zenon_L537_ *) % 65.82/65.99 assert (zenon_L538_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H414 zenon_H1ee zenon_H1ed zenon_H2c3 zenon_H320 zenon_H38a zenon_H392 zenon_H2c6 zenon_H219 zenon_H1eb zenon_H2c4 zenon_H35d zenon_H3e3 zenon_H40d zenon_H407 zenon_H297 zenon_H21e. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H414); [ zenon_intro zenon_H1ef | zenon_intro zenon_H415 ]. % 65.82/65.99 apply (zenon_L214_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H415); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H416 ]. % 65.82/65.99 apply (zenon_L531_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H416); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H411 ]. % 65.82/65.99 apply (zenon_L535_); trivial. % 65.82/65.99 apply (zenon_L537_); trivial. % 65.82/65.99 (* end of lemma zenon_L538_ *) % 65.82/65.99 assert (zenon_L539_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> False). % 65.82/65.99 do 0 intro. intros zenon_H227 zenon_H1f4 zenon_H1fa zenon_H2b4 zenon_H27d zenon_H407 zenon_H40d zenon_H3e3 zenon_H35d zenon_H2c4 zenon_H1eb zenon_H219 zenon_H2c6 zenon_H392 zenon_H38a zenon_H320 zenon_H2c3 zenon_H1ed zenon_H1ee zenon_H414 zenon_H21e zenon_H29a. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.82/65.99 apply (zenon_L214_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.82/65.99 apply (zenon_L215_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.82/65.99 apply (zenon_L216_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H240 | zenon_intro zenon_H2ba ]. % 65.82/65.99 apply (zenon_L231_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H27e | zenon_intro zenon_H2bb ]. % 65.82/65.99 apply (zenon_L248_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H297 | zenon_intro zenon_H2a4 ]. % 65.82/65.99 apply (zenon_L538_); trivial. % 65.82/65.99 apply (zenon_L259_); trivial. % 65.82/65.99 (* end of lemma zenon_L539_ *) % 65.82/65.99 assert (zenon_L540_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> False). % 65.82/65.99 do 0 intro. intros zenon_H23c zenon_H227 zenon_H1f4 zenon_H1fa zenon_H2b4 zenon_H27d zenon_H407 zenon_H40d zenon_H3e3 zenon_H35d zenon_H1eb zenon_H219 zenon_H2c6 zenon_H392 zenon_H38a zenon_H320 zenon_H1ed zenon_H1ee zenon_H414 zenon_H21e zenon_H29a. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H23c). zenon_intro zenon_H23e. zenon_intro zenon_H23d. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H1ef. zenon_intro zenon_H23f. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 65.82/65.99 apply (zenon_L539_); trivial. % 65.82/65.99 (* end of lemma zenon_L540_ *) % 65.82/65.99 assert (zenon_L541_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H392 zenon_H38a zenon_H2f8 zenon_H407 zenon_H320 zenon_H2c6 zenon_H1eb zenon_H219 zenon_H272. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H38b | zenon_intro zenon_H393 ]. % 65.82/65.99 apply (zenon_L386_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H324 | zenon_intro zenon_H394 ]. % 65.82/65.99 apply (zenon_L530_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H38e ]. % 65.82/65.99 apply (zenon_L265_); trivial. % 65.82/65.99 apply (zenon_L387_); trivial. % 65.82/65.99 (* end of lemma zenon_L541_ *) % 65.82/65.99 assert (zenon_L542_ : ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H407 zenon_H2b6 zenon_H342. % 65.82/65.99 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fe ]. % 65.82/65.99 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H342. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H1fd. % 65.82/65.99 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1fe]. % 65.82/65.99 cut (((op1 (e12) (e12)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3e6]. % 65.82/65.99 congruence. % 65.82/65.99 cut (((op1 (e12) (op1 (e12) (e10))) = (e12)) = ((op1 (e12) (e12)) = (op1 (e12) (e10)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H3e6. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H407. % 65.82/65.99 cut (((e12) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H340]. % 65.82/65.99 cut (((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H40b]. % 65.82/65.99 congruence. % 65.82/65.99 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fe ]. % 65.82/65.99 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (e12)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H40b. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H1fd. % 65.82/65.99 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1fe]. % 65.82/65.99 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H40a]. % 65.82/65.99 congruence. % 65.82/65.99 apply (zenon_L532_); trivial. % 65.82/65.99 apply zenon_H1fe. apply refl_equal. % 65.82/65.99 apply zenon_H1fe. apply refl_equal. % 65.82/65.99 apply zenon_H340. apply sym_equal. exact zenon_H2b6. % 65.82/65.99 apply zenon_H1fe. apply refl_equal. % 65.82/65.99 apply zenon_H1fe. apply refl_equal. % 65.82/65.99 (* end of lemma zenon_L542_ *) % 65.82/65.99 assert (zenon_L543_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H414 zenon_H1ee zenon_H1ed zenon_H272 zenon_H219 zenon_H1eb zenon_H2c6 zenon_H320 zenon_H38a zenon_H392 zenon_H342 zenon_H407 zenon_H297 zenon_H21e. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H414); [ zenon_intro zenon_H1ef | zenon_intro zenon_H415 ]. % 65.82/65.99 apply (zenon_L214_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H415); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H416 ]. % 65.82/65.99 apply (zenon_L541_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H416); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H411 ]. % 65.82/65.99 apply (zenon_L542_); trivial. % 65.82/65.99 apply (zenon_L537_); trivial. % 65.82/65.99 (* end of lemma zenon_L543_ *) % 65.82/65.99 assert (zenon_L544_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> False). % 65.82/65.99 do 0 intro. intros zenon_H227 zenon_H1f4 zenon_H1ff zenon_H2b4 zenon_H27d zenon_H407 zenon_H342 zenon_H392 zenon_H38a zenon_H320 zenon_H2c6 zenon_H1eb zenon_H219 zenon_H272 zenon_H1ed zenon_H1ee zenon_H414 zenon_H21e zenon_H29a. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.82/65.99 apply (zenon_L214_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.82/65.99 apply (zenon_L215_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.82/65.99 exact (zenon_H1ff zenon_H1fb). % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H240 | zenon_intro zenon_H2ba ]. % 65.82/65.99 apply (zenon_L231_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H27e | zenon_intro zenon_H2bb ]. % 65.82/65.99 apply (zenon_L248_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H297 | zenon_intro zenon_H2a4 ]. % 65.82/65.99 apply (zenon_L543_); trivial. % 65.82/65.99 apply (zenon_L259_); trivial. % 65.82/65.99 (* end of lemma zenon_L544_ *) % 65.82/65.99 assert (zenon_L545_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> False). % 65.82/65.99 do 0 intro. intros zenon_H25e zenon_H227 zenon_H1f4 zenon_H2b4 zenon_H27d zenon_H407 zenon_H342 zenon_H392 zenon_H38a zenon_H320 zenon_H2c6 zenon_H1eb zenon_H219 zenon_H272 zenon_H1ed zenon_H1ee zenon_H414 zenon_H21e zenon_H29a. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H260. zenon_intro zenon_H25f. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H20a. zenon_intro zenon_H230. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.82/65.99 apply (zenon_L544_); trivial. % 65.82/65.99 (* end of lemma zenon_L545_ *) % 65.82/65.99 assert (zenon_L546_ : (((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> False). % 65.82/65.99 do 0 intro. intros zenon_H26c zenon_H227 zenon_H1f4 zenon_H1fa zenon_H2b4 zenon_H27d zenon_H407 zenon_H40d zenon_H3e3 zenon_H35d zenon_H1eb zenon_H219 zenon_H2c6 zenon_H392 zenon_H38a zenon_H320 zenon_H1ed zenon_H1ee zenon_H414 zenon_H21e zenon_H29a. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H266. zenon_intro zenon_H26d. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H26e. zenon_intro zenon_H23f. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 65.82/65.99 apply (zenon_L539_); trivial. % 65.82/65.99 (* end of lemma zenon_L546_ *) % 65.82/65.99 assert (zenon_L547_ : (((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H2b2 zenon_H407 zenon_H3e3. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.82/65.99 apply (zenon_L533_); trivial. % 65.82/65.99 (* end of lemma zenon_L547_ *) % 65.82/65.99 assert (zenon_L548_ : (((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> False). % 65.82/65.99 do 0 intro. intros zenon_H33b zenon_H227 zenon_H1f4 zenon_H1fa zenon_H2b4 zenon_H27d zenon_H407 zenon_H40d zenon_H3e3 zenon_H35d zenon_H1eb zenon_H219 zenon_H2c6 zenon_H392 zenon_H38a zenon_H320 zenon_H1ed zenon_H1ee zenon_H414 zenon_H21e zenon_H29a. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 65.82/65.99 apply (zenon_L539_); trivial. % 65.82/65.99 (* end of lemma zenon_L548_ *) % 65.82/65.99 assert (zenon_L549_ : ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H407 zenon_H411 zenon_H312 zenon_H2e4. % 65.82/65.99 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H34d | zenon_intro zenon_H34e ]. % 65.82/65.99 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H2e4. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H34d. % 65.82/65.99 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34e]. % 65.82/65.99 cut (((op1 (e12) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H385]. % 65.82/65.99 congruence. % 65.82/65.99 cut (((op1 (e12) (op1 (e12) (e10))) = (e12)) = ((op1 (e12) (e13)) = (op1 (e11) (e13)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H385. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H407. % 65.82/65.99 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H313]. % 65.82/65.99 cut (((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H413]. % 65.82/65.99 congruence. % 65.82/65.99 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H34d | zenon_intro zenon_H34e ]. % 65.82/65.99 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (e13)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H413. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H34d. % 65.82/65.99 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34e]. % 65.82/65.99 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H410]. % 65.82/65.99 congruence. % 65.82/65.99 apply (zenon_L536_); trivial. % 65.82/65.99 apply zenon_H34e. apply refl_equal. % 65.82/65.99 apply zenon_H34e. apply refl_equal. % 65.82/65.99 apply zenon_H313. apply sym_equal. exact zenon_H312. % 65.82/65.99 apply zenon_H34e. apply refl_equal. % 65.82/65.99 apply zenon_H34e. apply refl_equal. % 65.82/65.99 (* end of lemma zenon_L549_ *) % 65.82/65.99 assert (zenon_L550_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H31d zenon_H2e4 zenon_H407 zenon_H342 zenon_H320 zenon_H324 zenon_H1ed zenon_H1ee zenon_H1eb zenon_H414 zenon_H252 zenon_H314 zenon_H219. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H2e5 | zenon_intro zenon_H31e ]. % 65.82/65.99 apply (zenon_L283_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H27b | zenon_intro zenon_H31f ]. % 65.82/65.99 apply (zenon_L290_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H312 | zenon_intro zenon_H2d5 ]. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H414); [ zenon_intro zenon_H1ef | zenon_intro zenon_H415 ]. % 65.82/65.99 apply (zenon_L214_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H415); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H416 ]. % 65.82/65.99 apply (zenon_L530_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H416); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H411 ]. % 65.82/65.99 apply (zenon_L542_); trivial. % 65.82/65.99 apply (zenon_L549_); trivial. % 65.82/65.99 apply (zenon_L307_); trivial. % 65.82/65.99 (* end of lemma zenon_L550_ *) % 65.82/65.99 assert (zenon_L551_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H392 zenon_H38a zenon_H314 zenon_H252 zenon_H414 zenon_H1ee zenon_H1ed zenon_H320 zenon_H342 zenon_H407 zenon_H2e4 zenon_H31d zenon_H2c6 zenon_H1eb zenon_H219 zenon_H272. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H38b | zenon_intro zenon_H393 ]. % 65.82/65.99 apply (zenon_L386_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H324 | zenon_intro zenon_H394 ]. % 65.82/65.99 apply (zenon_L550_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H38e ]. % 65.82/65.99 apply (zenon_L265_); trivial. % 65.82/65.99 apply (zenon_L387_); trivial. % 65.82/65.99 (* end of lemma zenon_L551_ *) % 65.82/65.99 assert (zenon_L552_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> False). % 65.82/65.99 do 0 intro. intros zenon_H227 zenon_H1f4 zenon_H1ee zenon_H1fa zenon_H347 zenon_H342 zenon_H407 zenon_H219 zenon_H1eb zenon_H320 zenon_H2c4 zenon_H1ed zenon_H343. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.82/65.99 apply (zenon_L214_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.82/65.99 apply (zenon_L215_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.82/65.99 apply (zenon_L216_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H349 ]. % 65.82/65.99 apply (zenon_L542_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H2be | zenon_intro zenon_H34a ]. % 65.82/65.99 apply (zenon_L311_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2ce ]. % 65.82/65.99 exact (zenon_H2c4 zenon_H2c2). % 65.82/65.99 apply (zenon_L321_); trivial. % 65.82/65.99 (* end of lemma zenon_L552_ *) % 65.82/65.99 assert (zenon_L553_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> False). % 65.82/65.99 do 0 intro. intros zenon_H23c zenon_H227 zenon_H1f4 zenon_H1ee zenon_H1fa zenon_H347 zenon_H342 zenon_H407 zenon_H219 zenon_H1eb zenon_H320 zenon_H1ed zenon_H343. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H23c). zenon_intro zenon_H23e. zenon_intro zenon_H23d. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H1ef. zenon_intro zenon_H23f. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 65.82/65.99 apply (zenon_L552_); trivial. % 65.82/65.99 (* end of lemma zenon_L553_ *) % 65.82/65.99 assert (zenon_L554_ : ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> False). % 65.82/65.99 do 0 intro. intros zenon_H407 zenon_H411 zenon_H2c2 zenon_H1fa. % 65.82/65.99 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H34d | zenon_intro zenon_H34e ]. % 65.82/65.99 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (e12)) = (op1 (e12) (e13)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H1fa. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H34d. % 65.82/65.99 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34e]. % 65.82/65.99 cut (((op1 (e12) (e13)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H417]. % 65.82/65.99 congruence. % 65.82/65.99 cut (((op1 (e12) (op1 (e12) (e10))) = (e12)) = ((op1 (e12) (e13)) = (op1 (e12) (e12)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H417. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H407. % 65.82/65.99 cut (((e12) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H344]. % 65.82/65.99 cut (((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H413]. % 65.82/65.99 congruence. % 65.82/65.99 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H34d | zenon_intro zenon_H34e ]. % 65.82/65.99 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (e13)))). % 65.82/65.99 intro zenon_D_pnotp. % 65.82/65.99 apply zenon_H413. % 65.82/65.99 rewrite <- zenon_D_pnotp. % 65.82/65.99 exact zenon_H34d. % 65.82/65.99 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34e]. % 65.82/65.99 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H410]. % 65.82/65.99 congruence. % 65.82/65.99 apply (zenon_L536_); trivial. % 65.82/65.99 apply zenon_H34e. apply refl_equal. % 65.82/65.99 apply zenon_H34e. apply refl_equal. % 65.82/65.99 apply zenon_H344. apply sym_equal. exact zenon_H2c2. % 65.82/65.99 apply zenon_H34e. apply refl_equal. % 65.82/65.99 apply zenon_H34e. apply refl_equal. % 65.82/65.99 (* end of lemma zenon_L554_ *) % 65.82/65.99 assert (zenon_L555_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> False). % 65.82/65.99 do 0 intro. intros zenon_H227 zenon_H1f4 zenon_H1ff zenon_H347 zenon_H272 zenon_H219 zenon_H1eb zenon_H2c6 zenon_H414 zenon_H1ee zenon_H320 zenon_H342 zenon_H407 zenon_H1fa zenon_H38a zenon_H392 zenon_H1ed zenon_H343. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.82/65.99 apply (zenon_L214_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.82/65.99 apply (zenon_L215_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.82/65.99 exact (zenon_H1ff zenon_H1fb). % 65.82/65.99 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H349 ]. % 65.82/65.99 apply (zenon_L542_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H2be | zenon_intro zenon_H34a ]. % 65.82/65.99 apply (zenon_L311_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2ce ]. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H38b | zenon_intro zenon_H393 ]. % 65.82/65.99 apply (zenon_L386_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H324 | zenon_intro zenon_H394 ]. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H414); [ zenon_intro zenon_H1ef | zenon_intro zenon_H415 ]. % 65.82/65.99 apply (zenon_L214_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H415); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H416 ]. % 65.82/65.99 apply (zenon_L530_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H416); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H411 ]. % 65.82/65.99 apply (zenon_L542_); trivial. % 65.82/65.99 apply (zenon_L554_); trivial. % 65.82/65.99 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H38e ]. % 65.82/65.99 apply (zenon_L265_); trivial. % 65.82/65.99 apply (zenon_L387_); trivial. % 65.82/65.99 apply (zenon_L321_); trivial. % 65.82/65.99 (* end of lemma zenon_L555_ *) % 65.82/65.99 assert (zenon_L556_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> False). % 65.82/65.99 do 0 intro. intros zenon_H25e zenon_H227 zenon_H1f4 zenon_H347 zenon_H272 zenon_H219 zenon_H1eb zenon_H2c6 zenon_H414 zenon_H1ee zenon_H320 zenon_H342 zenon_H407 zenon_H1fa zenon_H38a zenon_H392 zenon_H1ed zenon_H343. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H260. zenon_intro zenon_H25f. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H20a. zenon_intro zenon_H230. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.82/65.99 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.82/65.99 apply (zenon_L555_); trivial. % 65.82/65.99 (* end of lemma zenon_L556_ *) % 65.82/65.99 assert (zenon_L557_ : (((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H26c zenon_H227 zenon_H1f4 zenon_H1ee zenon_H1fa zenon_H347 zenon_H342 zenon_H407 zenon_H219 zenon_H1eb zenon_H320 zenon_H1ed zenon_H343. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H266. zenon_intro zenon_H26d. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H26e. zenon_intro zenon_H23f. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 65.82/66.00 apply (zenon_L552_); trivial. % 65.82/66.00 (* end of lemma zenon_L557_ *) % 65.82/66.00 assert (zenon_L558_ : (((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12)))))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H33b zenon_H227 zenon_H1f4 zenon_H1ee zenon_H1fa zenon_H347 zenon_H342 zenon_H407 zenon_H219 zenon_H1eb zenon_H320 zenon_H1ed zenon_H343. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 65.82/66.00 apply (zenon_L552_); trivial. % 65.82/66.00 (* end of lemma zenon_L558_ *) % 65.82/66.00 assert (zenon_L559_ : (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (op1 (e12) (e10))) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((e12) = (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_H353 zenon_H2b4 zenon_H27d zenon_H40d zenon_H35d zenon_H31d zenon_H2e4 zenon_H252 zenon_H227 zenon_H1f4 zenon_H1ee zenon_H1fa zenon_H347 zenon_H342 zenon_H407 zenon_H219 zenon_H320 zenon_H1ed zenon_H272 zenon_H2c6 zenon_H414 zenon_H38a zenon_H392 zenon_H3e3 zenon_H21e zenon_H32c zenon_H30f zenon_H1eb. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.82/66.00 apply (zenon_L228_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.82/66.00 apply (zenon_L229_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.82/66.00 apply (zenon_L540_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.82/66.00 apply (zenon_L232_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.82/66.00 apply (zenon_L545_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.82/66.00 apply (zenon_L240_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.82/66.00 apply (zenon_L546_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.82/66.00 apply (zenon_L247_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.82/66.00 apply (zenon_L547_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.82/66.00 apply (zenon_L263_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.82/66.00 apply (zenon_L264_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.82/66.00 apply (zenon_L266_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.82/66.00 apply (zenon_L544_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.82/66.00 apply (zenon_L269_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.82/66.00 apply (zenon_L548_); trivial. % 65.82/66.00 apply (zenon_L301_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.82/66.00 apply (zenon_L551_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.82/66.00 apply (zenon_L228_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.82/66.00 apply (zenon_L229_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.82/66.00 apply (zenon_L553_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.82/66.00 apply (zenon_L232_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.82/66.00 apply (zenon_L556_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.82/66.00 apply (zenon_L240_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.82/66.00 apply (zenon_L557_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.82/66.00 apply (zenon_L247_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.82/66.00 apply (zenon_L547_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.82/66.00 apply (zenon_L263_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.82/66.00 apply (zenon_L264_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.82/66.00 apply (zenon_L266_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.82/66.00 apply (zenon_L555_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.82/66.00 apply (zenon_L269_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.82/66.00 apply (zenon_L558_); trivial. % 65.82/66.00 apply (zenon_L301_); trivial. % 65.82/66.00 apply (zenon_L328_); trivial. % 65.82/66.00 (* end of lemma zenon_L559_ *) % 65.82/66.00 assert (zenon_L560_ : (~((op1 (e13) (e13)) = (op1 (e13) (op1 (e13) (e10))))) -> ((op1 (e13) (e10)) = (e13)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H418 zenon_H2d1. % 65.82/66.00 cut (((e13) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3d5]. % 65.82/66.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 65.82/66.00 congruence. % 65.82/66.00 apply zenon_H1e9. apply refl_equal. % 65.82/66.00 apply zenon_H3d5. apply sym_equal. exact zenon_H2d1. % 65.82/66.00 (* end of lemma zenon_L560_ *) % 65.82/66.00 assert (zenon_L561_ : ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_H419 zenon_H2d1 zenon_H2a4 zenon_H27d. % 65.82/66.00 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H38f | zenon_intro zenon_H274 ]. % 65.82/66.00 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))). % 65.82/66.00 intro zenon_D_pnotp. % 65.82/66.00 apply zenon_H27d. % 65.82/66.00 rewrite <- zenon_D_pnotp. % 65.82/66.00 exact zenon_H38f. % 65.82/66.00 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.82/66.00 cut (((op1 (e13) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3a8]. % 65.82/66.00 congruence. % 65.82/66.00 cut (((op1 (e13) (op1 (e13) (e10))) = (e13)) = ((op1 (e13) (e13)) = (op1 (e10) (e13)))). % 65.82/66.00 intro zenon_D_pnotp. % 65.82/66.00 apply zenon_H3a8. % 65.82/66.00 rewrite <- zenon_D_pnotp. % 65.82/66.00 exact zenon_H419. % 65.82/66.00 cut (((e13) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2a7]. % 65.82/66.00 cut (((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H41a]. % 65.82/66.00 congruence. % 65.82/66.00 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H38f | zenon_intro zenon_H274 ]. % 65.82/66.00 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (e13)))). % 65.82/66.00 intro zenon_D_pnotp. % 65.82/66.00 apply zenon_H41a. % 65.82/66.00 rewrite <- zenon_D_pnotp. % 65.82/66.00 exact zenon_H38f. % 65.82/66.00 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.82/66.00 cut (((op1 (e13) (e13)) = (op1 (e13) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H418]. % 65.82/66.00 congruence. % 65.82/66.00 apply (zenon_L560_); trivial. % 65.82/66.00 apply zenon_H274. apply refl_equal. % 65.82/66.00 apply zenon_H274. apply refl_equal. % 65.82/66.00 apply zenon_H2a7. apply sym_equal. exact zenon_H2a4. % 65.82/66.00 apply zenon_H274. apply refl_equal. % 65.82/66.00 apply zenon_H274. apply refl_equal. % 65.82/66.00 (* end of lemma zenon_L561_ *) % 65.82/66.00 assert (zenon_L562_ : ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_H419 zenon_H2d1 zenon_H2d5 zenon_H252. % 65.82/66.00 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H38f | zenon_intro zenon_H274 ]. % 65.82/66.00 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))). % 65.82/66.00 intro zenon_D_pnotp. % 65.82/66.00 apply zenon_H252. % 65.82/66.00 rewrite <- zenon_D_pnotp. % 65.82/66.00 exact zenon_H38f. % 65.82/66.00 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.82/66.00 cut (((op1 (e13) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3e9]. % 65.82/66.00 congruence. % 65.82/66.00 cut (((op1 (e13) (op1 (e13) (e10))) = (e13)) = ((op1 (e13) (e13)) = (op1 (e11) (e13)))). % 65.82/66.00 intro zenon_D_pnotp. % 65.82/66.00 apply zenon_H3e9. % 65.82/66.00 rewrite <- zenon_D_pnotp. % 65.82/66.00 exact zenon_H419. % 65.82/66.00 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H31c]. % 65.82/66.00 cut (((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H41a]. % 65.82/66.00 congruence. % 65.82/66.00 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H38f | zenon_intro zenon_H274 ]. % 65.82/66.00 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (e13)))). % 65.82/66.00 intro zenon_D_pnotp. % 65.82/66.00 apply zenon_H41a. % 65.82/66.00 rewrite <- zenon_D_pnotp. % 65.82/66.00 exact zenon_H38f. % 65.82/66.00 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.82/66.00 cut (((op1 (e13) (e13)) = (op1 (e13) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H418]. % 65.82/66.00 congruence. % 65.82/66.00 apply (zenon_L560_); trivial. % 65.82/66.00 apply zenon_H274. apply refl_equal. % 65.82/66.00 apply zenon_H274. apply refl_equal. % 65.82/66.00 apply zenon_H31c. apply sym_equal. exact zenon_H2d5. % 65.82/66.00 apply zenon_H274. apply refl_equal. % 65.82/66.00 apply zenon_H274. apply refl_equal. % 65.82/66.00 (* end of lemma zenon_L562_ *) % 65.82/66.00 assert (zenon_L563_ : ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_H419 zenon_H2d1 zenon_H33e zenon_H36e. % 65.82/66.00 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H38f | zenon_intro zenon_H274 ]. % 65.82/66.00 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))). % 65.82/66.00 intro zenon_D_pnotp. % 65.82/66.00 apply zenon_H36e. % 65.82/66.00 rewrite <- zenon_D_pnotp. % 65.82/66.00 exact zenon_H38f. % 65.82/66.00 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.82/66.00 cut (((op1 (e13) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3ad]. % 65.82/66.00 congruence. % 65.82/66.00 cut (((op1 (e13) (op1 (e13) (e10))) = (e13)) = ((op1 (e13) (e13)) = (op1 (e12) (e13)))). % 65.82/66.00 intro zenon_D_pnotp. % 65.82/66.00 apply zenon_H3ad. % 65.82/66.00 rewrite <- zenon_D_pnotp. % 65.82/66.00 exact zenon_H419. % 65.82/66.00 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34c]. % 65.82/66.00 cut (((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H41a]. % 65.82/66.00 congruence. % 65.82/66.00 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H38f | zenon_intro zenon_H274 ]. % 65.82/66.00 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (e13)))). % 65.82/66.00 intro zenon_D_pnotp. % 65.82/66.00 apply zenon_H41a. % 65.82/66.00 rewrite <- zenon_D_pnotp. % 65.82/66.00 exact zenon_H38f. % 65.82/66.00 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 65.82/66.00 cut (((op1 (e13) (e13)) = (op1 (e13) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H418]. % 65.82/66.00 congruence. % 65.82/66.00 apply (zenon_L560_); trivial. % 65.82/66.00 apply zenon_H274. apply refl_equal. % 65.82/66.00 apply zenon_H274. apply refl_equal. % 65.82/66.00 apply zenon_H34c. apply sym_equal. exact zenon_H33e. % 65.82/66.00 apply zenon_H274. apply refl_equal. % 65.82/66.00 apply zenon_H274. apply refl_equal. % 65.82/66.00 (* end of lemma zenon_L563_ *) % 65.82/66.00 assert (zenon_L564_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H3ea zenon_H252 zenon_H36e zenon_H2d1 zenon_H419 zenon_H27d zenon_H1eb zenon_H297. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3ea); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H3eb ]. % 65.82/66.00 apply (zenon_L561_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3eb); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H3ec ]. % 65.82/66.00 apply (zenon_L562_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3ec); [ zenon_intro zenon_H33e | zenon_intro zenon_H308 ]. % 65.82/66.00 apply (zenon_L563_); trivial. % 65.82/66.00 apply (zenon_L444_); trivial. % 65.82/66.00 (* end of lemma zenon_L564_ *) % 65.82/66.00 assert (zenon_L565_ : (~((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e10))))) -> ((op1 (e13) (e10)) = (e10)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H41b zenon_H301. % 65.82/66.00 cut (((e10) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H302]. % 65.82/66.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 65.82/66.00 congruence. % 65.82/66.00 apply zenon_H1e9. apply refl_equal. % 65.82/66.00 apply zenon_H302. apply sym_equal. exact zenon_H301. % 65.82/66.00 (* end of lemma zenon_L565_ *) % 65.82/66.00 assert (zenon_L566_ : (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (e11)) = (e13)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H38a zenon_H419 zenon_H301 zenon_H2d4. % 65.82/66.00 cut (((op1 (e13) (op1 (e13) (e10))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))). % 65.82/66.00 intro zenon_D_pnotp. % 65.82/66.00 apply zenon_H38a. % 65.82/66.00 rewrite <- zenon_D_pnotp. % 65.82/66.00 exact zenon_H419. % 65.82/66.00 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3d9]. % 65.82/66.00 cut (((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H41c]. % 65.82/66.00 congruence. % 65.82/66.00 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H2fd | zenon_intro zenon_H2fe ]. % 65.82/66.00 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (e10)))). % 65.82/66.00 intro zenon_D_pnotp. % 65.82/66.00 apply zenon_H41c. % 65.82/66.00 rewrite <- zenon_D_pnotp. % 65.82/66.00 exact zenon_H2fd. % 65.82/66.00 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fe]. % 65.82/66.00 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H41b]. % 65.82/66.00 congruence. % 65.82/66.00 apply (zenon_L565_); trivial. % 65.82/66.00 apply zenon_H2fe. apply refl_equal. % 65.82/66.00 apply zenon_H2fe. apply refl_equal. % 65.82/66.00 apply zenon_H3d9. apply sym_equal. exact zenon_H2d4. % 65.82/66.00 (* end of lemma zenon_L566_ *) % 65.82/66.00 assert (zenon_L567_ : (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H3cb zenon_H419 zenon_H301 zenon_H33d. % 65.82/66.00 cut (((op1 (e13) (op1 (e13) (e10))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))). % 65.82/66.00 intro zenon_D_pnotp. % 65.82/66.00 apply zenon_H3cb. % 65.82/66.00 rewrite <- zenon_D_pnotp. % 65.82/66.00 exact zenon_H419. % 65.82/66.00 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3a6]. % 65.82/66.00 cut (((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H41c]. % 65.82/66.00 congruence. % 65.82/66.00 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H2fd | zenon_intro zenon_H2fe ]. % 65.82/66.00 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (e10)))). % 65.82/66.00 intro zenon_D_pnotp. % 65.82/66.00 apply zenon_H41c. % 65.82/66.00 rewrite <- zenon_D_pnotp. % 65.82/66.00 exact zenon_H2fd. % 65.82/66.00 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fe]. % 65.82/66.00 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H41b]. % 65.82/66.00 congruence. % 65.82/66.00 apply (zenon_L565_); trivial. % 65.82/66.00 apply zenon_H2fe. apply refl_equal. % 65.82/66.00 apply zenon_H2fe. apply refl_equal. % 65.82/66.00 apply zenon_H3a6. apply sym_equal. exact zenon_H33d. % 65.82/66.00 (* end of lemma zenon_L567_ *) % 65.82/66.00 assert (zenon_L568_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H3db zenon_H36e zenon_H252 zenon_H3ea zenon_H38a zenon_H301 zenon_H419 zenon_H3cb zenon_H27d zenon_H1eb zenon_H297. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H3dc ]. % 65.82/66.00 apply (zenon_L564_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3dc); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H3dd ]. % 65.82/66.00 apply (zenon_L566_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3dd); [ zenon_intro zenon_H33d | zenon_intro zenon_H308 ]. % 65.82/66.00 apply (zenon_L567_); trivial. % 65.82/66.00 apply (zenon_L444_); trivial. % 65.82/66.00 (* end of lemma zenon_L568_ *) % 65.82/66.00 assert (zenon_L569_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H3d6 zenon_H3cb zenon_H3db zenon_H2fa zenon_H219 zenon_H38a zenon_H3ea zenon_H252 zenon_H36e zenon_H419 zenon_H27d zenon_H1eb zenon_H297. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3d6); [ zenon_intro zenon_H301 | zenon_intro zenon_H3d7 ]. % 65.82/66.00 apply (zenon_L568_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3d7); [ zenon_intro zenon_H2fb | zenon_intro zenon_H3d8 ]. % 65.82/66.00 apply (zenon_L295_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3d8); [ zenon_intro zenon_H38b | zenon_intro zenon_H2d1 ]. % 65.82/66.00 apply (zenon_L386_); trivial. % 65.82/66.00 apply (zenon_L564_); trivial. % 65.82/66.00 (* end of lemma zenon_L569_ *) % 65.82/66.00 assert (zenon_L570_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_H3d6 zenon_H2d4 zenon_H2fa zenon_H219 zenon_H1eb zenon_H38a zenon_H419 zenon_H2a4 zenon_H27d. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3d6); [ zenon_intro zenon_H301 | zenon_intro zenon_H3d7 ]. % 65.82/66.00 apply (zenon_L566_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3d7); [ zenon_intro zenon_H2fb | zenon_intro zenon_H3d8 ]. % 65.82/66.00 apply (zenon_L295_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3d8); [ zenon_intro zenon_H38b | zenon_intro zenon_H2d1 ]. % 65.82/66.00 apply (zenon_L386_); trivial. % 65.82/66.00 apply (zenon_L561_); trivial. % 65.82/66.00 (* end of lemma zenon_L570_ *) % 65.82/66.00 assert (zenon_L571_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_H3d6 zenon_H33d zenon_H3cb zenon_H2fa zenon_H219 zenon_H1eb zenon_H38a zenon_H419 zenon_H2a4 zenon_H27d. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3d6); [ zenon_intro zenon_H301 | zenon_intro zenon_H3d7 ]. % 65.82/66.00 apply (zenon_L567_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3d7); [ zenon_intro zenon_H2fb | zenon_intro zenon_H3d8 ]. % 65.82/66.00 apply (zenon_L295_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3d8); [ zenon_intro zenon_H38b | zenon_intro zenon_H2d1 ]. % 65.82/66.00 apply (zenon_L386_); trivial. % 65.82/66.00 apply (zenon_L561_); trivial. % 65.82/66.00 (* end of lemma zenon_L571_ *) % 65.82/66.00 assert (zenon_L572_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H3db zenon_H36e zenon_H252 zenon_H3ea zenon_H2a4 zenon_H419 zenon_H38a zenon_H219 zenon_H2fa zenon_H3cb zenon_H3d6 zenon_H27d zenon_H1eb zenon_H297. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H3dc ]. % 65.82/66.00 apply (zenon_L564_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3dc); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H3dd ]. % 65.82/66.00 apply (zenon_L570_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3dd); [ zenon_intro zenon_H33d | zenon_intro zenon_H308 ]. % 65.82/66.00 apply (zenon_L571_); trivial. % 65.82/66.00 apply (zenon_L444_); trivial. % 65.82/66.00 (* end of lemma zenon_L572_ *) % 65.82/66.00 assert (zenon_L573_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H3db zenon_H27d zenon_H2a4 zenon_H419 zenon_H38a zenon_H219 zenon_H2fa zenon_H3cb zenon_H3d6 zenon_H252 zenon_H1eb zenon_H312. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H3dc ]. % 65.82/66.00 apply (zenon_L561_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3dc); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H3dd ]. % 65.82/66.00 apply (zenon_L570_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3dd); [ zenon_intro zenon_H33d | zenon_intro zenon_H308 ]. % 65.82/66.00 apply (zenon_L571_); trivial. % 65.82/66.00 apply (zenon_L477_); trivial. % 65.82/66.00 (* end of lemma zenon_L573_ *) % 65.82/66.00 assert (zenon_L574_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H3db zenon_H27d zenon_H2a4 zenon_H419 zenon_H38a zenon_H219 zenon_H2fa zenon_H3cb zenon_H3d6 zenon_H36e zenon_H1eb zenon_H2ce. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H3dc ]. % 65.82/66.00 apply (zenon_L561_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3dc); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H3dd ]. % 65.82/66.00 apply (zenon_L570_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3dd); [ zenon_intro zenon_H33d | zenon_intro zenon_H308 ]. % 65.82/66.00 apply (zenon_L571_); trivial. % 65.82/66.00 apply (zenon_L479_); trivial. % 65.82/66.00 (* end of lemma zenon_L574_ *) % 65.82/66.00 assert (zenon_L575_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_H3b8 zenon_H3ea zenon_H252 zenon_H36e zenon_H3d6 zenon_H3cb zenon_H2fa zenon_H38a zenon_H419 zenon_H2a4 zenon_H27d zenon_H3db zenon_H1eb zenon_H219 zenon_H272. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_H297 | zenon_intro zenon_H3b9 ]. % 65.82/66.00 apply (zenon_L572_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_H312 | zenon_intro zenon_H3ba ]. % 65.82/66.00 apply (zenon_L573_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3ba); [ zenon_intro zenon_H2ce | zenon_intro zenon_H38e ]. % 65.82/66.00 apply (zenon_L574_); trivial. % 65.82/66.00 apply (zenon_L387_); trivial. % 65.82/66.00 (* end of lemma zenon_L575_ *) % 65.82/66.00 assert (zenon_L576_ : (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H272 zenon_H219 zenon_H3db zenon_H27d zenon_H38a zenon_H2fa zenon_H3cb zenon_H3d6 zenon_H3ea zenon_H3b8 zenon_H36e zenon_H2d1 zenon_H419 zenon_H252 zenon_H1eb zenon_H312. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3ea); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H3eb ]. % 65.82/66.00 apply (zenon_L575_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3eb); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H3ec ]. % 65.82/66.00 apply (zenon_L562_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3ec); [ zenon_intro zenon_H33e | zenon_intro zenon_H308 ]. % 65.82/66.00 apply (zenon_L563_); trivial. % 65.82/66.00 apply (zenon_L477_); trivial. % 65.82/66.00 (* end of lemma zenon_L576_ *) % 65.82/66.00 assert (zenon_L577_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_H2b4 zenon_H1ee zenon_H21e zenon_H36e zenon_H252 zenon_H3ea zenon_H3db zenon_H3cb zenon_H3d6 zenon_H2d4 zenon_H2fa zenon_H219 zenon_H1eb zenon_H38a zenon_H419 zenon_H27d. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H240 | zenon_intro zenon_H2ba ]. % 65.82/66.00 apply (zenon_L231_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H27e | zenon_intro zenon_H2bb ]. % 65.82/66.00 apply (zenon_L248_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H297 | zenon_intro zenon_H2a4 ]. % 65.82/66.00 apply (zenon_L569_); trivial. % 65.82/66.00 apply (zenon_L570_); trivial. % 65.82/66.00 (* end of lemma zenon_L577_ *) % 65.82/66.00 assert (zenon_L578_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H3db zenon_H27d zenon_H2a4 zenon_H38a zenon_H301 zenon_H419 zenon_H3cb zenon_H252 zenon_H1eb zenon_H312. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H3dc ]. % 65.82/66.00 apply (zenon_L561_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3dc); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H3dd ]. % 65.82/66.00 apply (zenon_L566_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3dd); [ zenon_intro zenon_H33d | zenon_intro zenon_H308 ]. % 65.82/66.00 apply (zenon_L567_); trivial. % 65.82/66.00 apply (zenon_L477_); trivial. % 65.82/66.00 (* end of lemma zenon_L578_ *) % 65.82/66.00 assert (zenon_L579_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H3ea zenon_H3cb zenon_H301 zenon_H38a zenon_H27d zenon_H3db zenon_H36e zenon_H2d1 zenon_H419 zenon_H252 zenon_H1eb zenon_H312. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3ea); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H3eb ]. % 65.82/66.00 apply (zenon_L578_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3eb); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H3ec ]. % 65.82/66.00 apply (zenon_L562_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3ec); [ zenon_intro zenon_H33e | zenon_intro zenon_H308 ]. % 65.82/66.00 apply (zenon_L563_); trivial. % 65.82/66.00 apply (zenon_L477_); trivial. % 65.82/66.00 (* end of lemma zenon_L579_ *) % 65.82/66.00 assert (zenon_L580_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H36e zenon_H3db zenon_H27d zenon_H3ea zenon_H38a zenon_H301 zenon_H419 zenon_H3cb zenon_H252 zenon_H1eb zenon_H312. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H3dc ]. % 65.82/66.00 apply (zenon_L579_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3dc); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H3dd ]. % 65.82/66.00 apply (zenon_L566_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3dd); [ zenon_intro zenon_H33d | zenon_intro zenon_H308 ]. % 65.82/66.00 apply (zenon_L567_); trivial. % 65.82/66.00 apply (zenon_L477_); trivial. % 65.82/66.00 (* end of lemma zenon_L580_ *) % 65.82/66.00 assert (zenon_L581_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H3db zenon_H252 zenon_H2d5 zenon_H38a zenon_H301 zenon_H419 zenon_H3cb zenon_H36e zenon_H1eb zenon_H2ce. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H3dc ]. % 65.82/66.00 apply (zenon_L562_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3dc); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H3dd ]. % 65.82/66.00 apply (zenon_L566_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3dd); [ zenon_intro zenon_H33d | zenon_intro zenon_H308 ]. % 65.82/66.00 apply (zenon_L567_); trivial. % 65.82/66.00 apply (zenon_L479_); trivial. % 65.82/66.00 (* end of lemma zenon_L581_ *) % 65.82/66.00 assert (zenon_L582_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_H3b8 zenon_H3ea zenon_H27d zenon_H36e zenon_H3cb zenon_H419 zenon_H301 zenon_H38a zenon_H2d5 zenon_H252 zenon_H3db zenon_H1eb zenon_H219 zenon_H272. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_H297 | zenon_intro zenon_H3b9 ]. % 65.82/66.00 apply (zenon_L568_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_H312 | zenon_intro zenon_H3ba ]. % 65.82/66.00 apply (zenon_L580_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3ba); [ zenon_intro zenon_H2ce | zenon_intro zenon_H38e ]. % 65.82/66.00 apply (zenon_L581_); trivial. % 65.82/66.00 apply (zenon_L387_); trivial. % 65.82/66.00 (* end of lemma zenon_L582_ *) % 65.82/66.00 assert (zenon_L583_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_H3d6 zenon_H272 zenon_H3db zenon_H3cb zenon_H36e zenon_H27d zenon_H3ea zenon_H3b8 zenon_H2fa zenon_H219 zenon_H1eb zenon_H38a zenon_H419 zenon_H2d5 zenon_H252. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3d6); [ zenon_intro zenon_H301 | zenon_intro zenon_H3d7 ]. % 65.82/66.00 apply (zenon_L582_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3d7); [ zenon_intro zenon_H2fb | zenon_intro zenon_H3d8 ]. % 65.82/66.00 apply (zenon_L295_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3d8); [ zenon_intro zenon_H38b | zenon_intro zenon_H2d1 ]. % 65.82/66.00 apply (zenon_L386_); trivial. % 65.82/66.00 apply (zenon_L562_); trivial. % 65.82/66.00 (* end of lemma zenon_L583_ *) % 65.82/66.00 assert (zenon_L584_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_H3d6 zenon_H33d zenon_H3cb zenon_H2fa zenon_H219 zenon_H1eb zenon_H38a zenon_H419 zenon_H33e zenon_H36e. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3d6); [ zenon_intro zenon_H301 | zenon_intro zenon_H3d7 ]. % 65.82/66.00 apply (zenon_L567_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3d7); [ zenon_intro zenon_H2fb | zenon_intro zenon_H3d8 ]. % 65.82/66.00 apply (zenon_L295_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3d8); [ zenon_intro zenon_H38b | zenon_intro zenon_H2d1 ]. % 65.82/66.00 apply (zenon_L386_); trivial. % 65.82/66.00 apply (zenon_L563_); trivial. % 65.82/66.00 (* end of lemma zenon_L584_ *) % 65.82/66.00 assert (zenon_L585_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H21e zenon_H1ee zenon_H2b4 zenon_H3d6 zenon_H3cb zenon_H2fa zenon_H219 zenon_H38a zenon_H419 zenon_H36e zenon_H272 zenon_H3db zenon_H27d zenon_H3ea zenon_H3b8 zenon_H252 zenon_H1eb zenon_H312. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H3dc ]. % 65.82/66.00 apply (zenon_L576_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3dc); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H3dd ]. % 65.82/66.00 apply (zenon_L577_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3dd); [ zenon_intro zenon_H33d | zenon_intro zenon_H308 ]. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3ea); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H3eb ]. % 65.82/66.00 apply (zenon_L571_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3eb); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H3ec ]. % 65.82/66.00 apply (zenon_L583_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3ec); [ zenon_intro zenon_H33e | zenon_intro zenon_H308 ]. % 65.82/66.00 apply (zenon_L584_); trivial. % 65.82/66.00 apply (zenon_L477_); trivial. % 65.82/66.00 apply (zenon_L477_); trivial. % 65.82/66.00 (* end of lemma zenon_L585_ *) % 65.82/66.00 assert (zenon_L586_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H3ea zenon_H3d6 zenon_H3cb zenon_H2fa zenon_H219 zenon_H38a zenon_H27d zenon_H3db zenon_H252 zenon_H2d1 zenon_H419 zenon_H36e zenon_H1eb zenon_H2ce. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3ea); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H3eb ]. % 65.82/66.00 apply (zenon_L574_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3eb); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H3ec ]. % 65.82/66.00 apply (zenon_L562_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3ec); [ zenon_intro zenon_H33e | zenon_intro zenon_H308 ]. % 65.82/66.00 apply (zenon_L563_); trivial. % 65.82/66.00 apply (zenon_L479_); trivial. % 65.82/66.00 (* end of lemma zenon_L586_ *) % 65.82/66.00 assert (zenon_L587_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (op1 (e13) (e10))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_H36e zenon_H252 zenon_H3b8 zenon_H3ea zenon_H27d zenon_H3db zenon_H419 zenon_H38a zenon_H2fa zenon_H3cb zenon_H3d6 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H1eb zenon_H219 zenon_H272. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_H297 | zenon_intro zenon_H3b9 ]. % 65.82/66.00 apply (zenon_L569_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_H312 | zenon_intro zenon_H3ba ]. % 65.82/66.00 apply (zenon_L585_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3ba); [ zenon_intro zenon_H2ce | zenon_intro zenon_H38e ]. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H3dc ]. % 65.82/66.00 apply (zenon_L586_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3dc); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H3dd ]. % 65.82/66.00 apply (zenon_L577_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3dd); [ zenon_intro zenon_H33d | zenon_intro zenon_H308 ]. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3ea); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H3eb ]. % 65.82/66.00 apply (zenon_L571_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3eb); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H3ec ]. % 65.82/66.00 apply (zenon_L583_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H3ec); [ zenon_intro zenon_H33e | zenon_intro zenon_H308 ]. % 65.82/66.00 apply (zenon_L584_); trivial. % 65.82/66.00 apply (zenon_L479_); trivial. % 65.82/66.00 apply (zenon_L479_); trivial. % 65.82/66.00 apply (zenon_L387_); trivial. % 65.82/66.00 (* end of lemma zenon_L587_ *) % 65.82/66.00 assert (zenon_L588_ : (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e22)) -> ((op2 (e22) (e21)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H8a zenon_H41d zenon_Hb6 zenon_H94. % 65.82/66.00 cut (((op2 (e22) (op2 (e22) (e21))) = (e22)) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))). % 65.82/66.00 intro zenon_D_pnotp. % 65.82/66.00 apply zenon_H8a. % 65.82/66.00 rewrite <- zenon_D_pnotp. % 65.82/66.00 exact zenon_H41d. % 65.82/66.00 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 65.82/66.00 cut (((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H41e]. % 65.82/66.00 congruence. % 65.82/66.00 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H47 | zenon_intro zenon_H48 ]. % 65.82/66.00 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e21)))). % 65.82/66.00 intro zenon_D_pnotp. % 65.82/66.00 apply zenon_H41e. % 65.82/66.00 rewrite <- zenon_D_pnotp. % 65.82/66.00 exact zenon_H47. % 65.82/66.00 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 65.82/66.00 cut (((op2 (e22) (e21)) = (op2 (e22) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H41f]. % 65.82/66.00 congruence. % 65.82/66.00 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 65.82/66.00 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 65.82/66.00 congruence. % 65.82/66.00 apply zenon_H1a4. apply refl_equal. % 65.82/66.00 apply zenon_H173. apply sym_equal. exact zenon_Hb6. % 65.82/66.00 apply zenon_H48. apply refl_equal. % 65.82/66.00 apply zenon_H48. apply refl_equal. % 65.82/66.00 apply zenon_H99. apply sym_equal. exact zenon_H94. % 65.82/66.00 (* end of lemma zenon_L588_ *) % 65.82/66.00 assert (zenon_L589_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e22)) -> ((op2 (e22) (e21)) = (e21)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H9c zenon_H56 zenon_H107 zenon_H19 zenon_H26 zenon_H8a zenon_H41d zenon_Hb6. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.00 apply (zenon_L19_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.00 apply (zenon_L63_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.00 apply (zenon_L33_); trivial. % 65.82/66.00 apply (zenon_L588_); trivial. % 65.82/66.00 (* end of lemma zenon_L589_ *) % 65.82/66.00 assert (zenon_L590_ : (~((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e21))))) -> ((op2 (e22) (e21)) = (e23)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H420 zenon_H421. % 65.82/66.00 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H422]. % 65.82/66.00 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 65.82/66.00 congruence. % 65.82/66.00 apply zenon_H1a4. apply refl_equal. % 65.82/66.00 apply zenon_H422. apply sym_equal. exact zenon_H421. % 65.82/66.00 (* end of lemma zenon_L590_ *) % 65.82/66.00 assert (zenon_L591_ : ((op2 (e22) (op2 (e22) (e21))) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_H41d zenon_H421 zenon_H122 zenon_H33. % 65.82/66.00 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 65.82/66.00 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))). % 65.82/66.00 intro zenon_D_pnotp. % 65.82/66.00 apply zenon_H33. % 65.82/66.00 rewrite <- zenon_D_pnotp. % 65.82/66.00 exact zenon_H158. % 65.82/66.00 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 65.82/66.00 cut (((op2 (e22) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1b5]. % 65.82/66.00 congruence. % 65.82/66.00 cut (((op2 (e22) (op2 (e22) (e21))) = (e22)) = ((op2 (e22) (e23)) = (op2 (e20) (e23)))). % 65.82/66.00 intro zenon_D_pnotp. % 65.82/66.00 apply zenon_H1b5. % 65.82/66.00 rewrite <- zenon_D_pnotp. % 65.82/66.00 exact zenon_H41d. % 65.82/66.00 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H125]. % 65.82/66.00 cut (((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H423]. % 65.82/66.00 congruence. % 65.82/66.00 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 65.82/66.00 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e23)))). % 65.82/66.00 intro zenon_D_pnotp. % 65.82/66.00 apply zenon_H423. % 65.82/66.00 rewrite <- zenon_D_pnotp. % 65.82/66.00 exact zenon_H158. % 65.82/66.00 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 65.82/66.00 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H420]. % 65.82/66.00 congruence. % 65.82/66.00 apply (zenon_L590_); trivial. % 65.82/66.00 apply zenon_H159. apply refl_equal. % 65.82/66.00 apply zenon_H159. apply refl_equal. % 65.82/66.00 apply zenon_H125. apply sym_equal. exact zenon_H122. % 65.82/66.00 apply zenon_H159. apply refl_equal. % 65.82/66.00 apply zenon_H159. apply refl_equal. % 65.82/66.00 (* end of lemma zenon_L591_ *) % 65.82/66.00 assert (zenon_L592_ : (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_H424 zenon_H29 zenon_H44 zenon_H107 zenon_H56 zenon_H9c zenon_H19 zenon_H26 zenon_H8a zenon_H41d zenon_H122 zenon_H33. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H45 | zenon_intro zenon_H425 ]. % 65.82/66.00 apply (zenon_L12_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H425); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H426 ]. % 65.82/66.00 apply (zenon_L589_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H426); [ zenon_intro zenon_H8b | zenon_intro zenon_H421 ]. % 65.82/66.00 apply (zenon_L33_); trivial. % 65.82/66.00 apply (zenon_L591_); trivial. % 65.82/66.00 (* end of lemma zenon_L592_ *) % 65.82/66.00 assert (zenon_L593_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> False). % 65.82/66.00 do 0 intro. intros zenon_H6e zenon_H28 zenon_H4a zenon_H12b zenon_H119 zenon_H41d zenon_H8a zenon_H26 zenon_H19 zenon_H9c zenon_H56 zenon_H107 zenon_H44 zenon_H29 zenon_H424 zenon_H33 zenon_H127. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.82/66.00 apply (zenon_L5_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.82/66.00 apply (zenon_L12_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.82/66.00 apply (zenon_L13_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H34 | zenon_intro zenon_H12c ]. % 65.82/66.00 apply (zenon_L7_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H11a | zenon_intro zenon_H12d ]. % 65.82/66.00 apply (zenon_L72_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H122 | zenon_intro zenon_Hde ]. % 65.82/66.00 apply (zenon_L592_); trivial. % 65.82/66.00 apply (zenon_L75_); trivial. % 65.82/66.00 (* end of lemma zenon_L593_ *) % 65.82/66.00 assert (zenon_L594_ : ((op2 (e22) (op2 (e22) (e21))) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_H41d zenon_H421 zenon_H156 zenon_Haa. % 65.82/66.00 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 65.82/66.00 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))). % 65.82/66.00 intro zenon_D_pnotp. % 65.82/66.00 apply zenon_Haa. % 65.82/66.00 rewrite <- zenon_D_pnotp. % 65.82/66.00 exact zenon_H158. % 65.82/66.00 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 65.82/66.00 cut (((op2 (e22) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H15a]. % 65.82/66.00 congruence. % 65.82/66.00 cut (((op2 (e22) (op2 (e22) (e21))) = (e22)) = ((op2 (e22) (e23)) = (op2 (e21) (e23)))). % 65.82/66.00 intro zenon_D_pnotp. % 65.82/66.00 apply zenon_H15a. % 65.82/66.00 rewrite <- zenon_D_pnotp. % 65.82/66.00 exact zenon_H41d. % 65.82/66.00 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H157]. % 65.82/66.00 cut (((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H423]. % 65.82/66.00 congruence. % 65.82/66.00 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 65.82/66.00 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e23)))). % 65.82/66.00 intro zenon_D_pnotp. % 65.82/66.00 apply zenon_H423. % 65.82/66.00 rewrite <- zenon_D_pnotp. % 65.82/66.00 exact zenon_H158. % 65.82/66.00 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 65.82/66.00 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H420]. % 65.82/66.00 congruence. % 65.82/66.00 apply (zenon_L590_); trivial. % 65.82/66.00 apply zenon_H159. apply refl_equal. % 65.82/66.00 apply zenon_H159. apply refl_equal. % 65.82/66.00 apply zenon_H157. apply sym_equal. exact zenon_H156. % 65.82/66.00 apply zenon_H159. apply refl_equal. % 65.82/66.00 apply zenon_H159. apply refl_equal. % 65.82/66.00 (* end of lemma zenon_L594_ *) % 65.82/66.00 assert (zenon_L595_ : (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_H424 zenon_H29 zenon_H44 zenon_H107 zenon_H56 zenon_H9c zenon_H19 zenon_H26 zenon_H8a zenon_H41d zenon_H156 zenon_Haa. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H45 | zenon_intro zenon_H425 ]. % 65.82/66.00 apply (zenon_L12_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H425); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H426 ]. % 65.82/66.00 apply (zenon_L589_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H426); [ zenon_intro zenon_H8b | zenon_intro zenon_H421 ]. % 65.82/66.00 apply (zenon_L33_); trivial. % 65.82/66.00 apply (zenon_L594_); trivial. % 65.82/66.00 (* end of lemma zenon_L595_ *) % 65.82/66.00 assert (zenon_L596_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.00 do 0 intro. intros zenon_H161 zenon_Haa zenon_H41d zenon_H8a zenon_H26 zenon_H9c zenon_H56 zenon_H107 zenon_H44 zenon_H29 zenon_H424 zenon_H109 zenon_H15d zenon_H19. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hab | zenon_intro zenon_H162 ]. % 65.82/66.00 apply (zenon_L39_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H163 ]. % 65.82/66.00 apply (zenon_L100_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H156 | zenon_intro zenon_He2 ]. % 65.82/66.00 apply (zenon_L595_); trivial. % 65.82/66.00 apply (zenon_L103_); trivial. % 65.82/66.00 (* end of lemma zenon_L596_ *) % 65.82/66.00 assert (zenon_L597_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_H6e zenon_H4f zenon_H1dd zenon_H33 zenon_Haa zenon_H41d zenon_H8a zenon_H9c zenon_H56 zenon_H107 zenon_H44 zenon_H29 zenon_H424 zenon_H1a6 zenon_H28 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.82/66.00 apply (zenon_L5_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.82/66.00 apply (zenon_L12_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.82/66.00 exact (zenon_H4f zenon_H4b). % 65.82/66.00 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H122 | zenon_intro zenon_H1de ]. % 65.82/66.00 apply (zenon_L592_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H156 | zenon_intro zenon_H1df ]. % 65.82/66.00 apply (zenon_L595_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1d9 ]. % 65.82/66.00 apply (zenon_L149_); trivial. % 65.82/66.00 apply (zenon_L199_); trivial. % 65.82/66.00 (* end of lemma zenon_L597_ *) % 65.82/66.00 assert (zenon_L598_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_H7c zenon_H6e zenon_H1dd zenon_H33 zenon_Haa zenon_H41d zenon_H8a zenon_H9c zenon_H56 zenon_H107 zenon_H44 zenon_H29 zenon_H424 zenon_H1a6 zenon_H28 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7e. zenon_intro zenon_H7d. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H5d. zenon_intro zenon_H15. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.82/66.00 apply (zenon_L597_); trivial. % 65.82/66.00 (* end of lemma zenon_L598_ *) % 65.82/66.00 assert (zenon_L599_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e23)) = (e22))) -> False). % 65.82/66.00 do 0 intro. intros zenon_H6e zenon_H4a zenon_H1dd zenon_H33 zenon_Haa zenon_H41d zenon_H8a zenon_H26 zenon_H19 zenon_H9c zenon_H56 zenon_H107 zenon_H44 zenon_H29 zenon_H424 zenon_H1a6 zenon_H28 zenon_Hcd. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.82/66.00 apply (zenon_L5_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.82/66.00 apply (zenon_L12_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.82/66.00 apply (zenon_L13_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H122 | zenon_intro zenon_H1de ]. % 65.82/66.00 apply (zenon_L592_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H156 | zenon_intro zenon_H1df ]. % 65.82/66.00 apply (zenon_L595_); trivial. % 65.82/66.00 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1d9 ]. % 65.82/66.00 apply (zenon_L149_); trivial. % 65.82/66.00 exact (zenon_Hcd zenon_H1d9). % 65.82/66.00 (* end of lemma zenon_L599_ *) % 65.82/66.00 assert (zenon_L600_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_Hb3 zenon_H6e zenon_H4a zenon_H1dd zenon_H33 zenon_Haa zenon_H41d zenon_H8a zenon_H26 zenon_H19 zenon_H9c zenon_H56 zenon_H107 zenon_H44 zenon_H29 zenon_H424 zenon_H1a6 zenon_H28. % 65.82/66.00 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 65.82/66.00 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_H32. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.00 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.00 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 65.82/66.00 apply (zenon_L599_); trivial. % 65.82/66.00 (* end of lemma zenon_L600_ *) % 65.82/66.00 assert (zenon_L601_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_Hc3 zenon_H6e zenon_H1dd zenon_H33 zenon_Haa zenon_H41d zenon_H8a zenon_H9c zenon_H56 zenon_H107 zenon_H44 zenon_H29 zenon_H424 zenon_H1a6 zenon_H28 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.00 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.82/66.00 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.82/66.00 apply (zenon_L597_); trivial. % 65.82/66.00 (* end of lemma zenon_L601_ *) % 65.82/66.00 assert (zenon_L602_ : (((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_Hdc zenon_H6e zenon_H1dd zenon_H33 zenon_Haa zenon_H41d zenon_H8a zenon_H9c zenon_H56 zenon_H107 zenon_H44 zenon_H29 zenon_H424 zenon_H1a6 zenon_H28 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.00 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.82/66.00 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.82/66.00 apply (zenon_L597_); trivial. % 65.82/66.00 (* end of lemma zenon_L602_ *) % 65.82/66.00 assert (zenon_L603_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> False). % 65.82/66.00 do 0 intro. intros zenon_He3 zenon_H6e zenon_H4a zenon_H1dd zenon_H33 zenon_Haa zenon_H41d zenon_H8a zenon_H26 zenon_H19 zenon_H9c zenon_H56 zenon_H107 zenon_H44 zenon_H29 zenon_H424 zenon_H1a6 zenon_H28. % 65.82/66.00 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.82/66.00 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.82/66.00 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.00 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.00 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 65.82/66.00 apply (zenon_L599_); trivial. % 65.82/66.00 (* end of lemma zenon_L603_ *) % 65.82/66.00 assert (zenon_L604_ : (((op2 (e20) (op2 (e20) (e23))) = (e20))\/(((op2 (e21) (op2 (e21) (e23))) = (e21))\/(((op2 (e22) (op2 (e22) (e23))) = (e22))\/((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H1b8 zenon_H119 zenon_H12b zenon_H109 zenon_H161 zenon_H6e zenon_H4a zenon_H1dd zenon_H33 zenon_Haa zenon_H41d zenon_H8a zenon_H19 zenon_H9c zenon_H56 zenon_H107 zenon_H44 zenon_H29 zenon_H424 zenon_H28 zenon_Hba zenon_Hd0 zenon_Hf0 zenon_H193 zenon_H26. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.82/66.01 apply (zenon_L593_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.82/66.01 apply (zenon_L596_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.01 apply (zenon_L1_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.01 apply (zenon_L2_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.01 apply (zenon_L6_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.01 apply (zenon_L8_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.01 apply (zenon_L598_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.01 apply (zenon_L27_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.01 apply (zenon_L600_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.01 apply (zenon_L47_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.01 apply (zenon_L601_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.01 apply (zenon_L49_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.01 apply (zenon_L50_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.01 apply (zenon_L52_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.01 apply (zenon_L602_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.01 apply (zenon_L56_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.01 apply (zenon_L603_); trivial. % 65.82/66.01 apply (zenon_L58_); trivial. % 65.82/66.01 apply (zenon_L163_); trivial. % 65.82/66.01 (* end of lemma zenon_L604_ *) % 65.82/66.01 assert (zenon_L605_ : (~((op2 (e23) (e22)) = (op2 (e23) (op2 (e23) (e21))))) -> ((op2 (e23) (e21)) = (e22)) -> False). % 65.82/66.01 do 0 intro. intros zenon_H427 zenon_H94. % 65.82/66.01 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 65.82/66.01 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 65.82/66.01 congruence. % 65.82/66.01 apply zenon_H24. apply refl_equal. % 65.82/66.01 apply zenon_H99. apply sym_equal. exact zenon_H94. % 65.82/66.01 (* end of lemma zenon_L605_ *) % 65.82/66.01 assert (zenon_L606_ : ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H428 zenon_H94 zenon_Hda zenon_H429. % 65.82/66.01 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 65.82/66.01 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H429. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_Hd1. % 65.82/66.01 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 65.82/66.01 cut (((op2 (e23) (e22)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H42a]. % 65.82/66.01 congruence. % 65.82/66.01 cut (((op2 (e23) (op2 (e23) (e21))) = (e23)) = ((op2 (e23) (e22)) = (op2 (e23) (e20)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H42a. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_H428. % 65.82/66.01 cut (((e23) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H42b]. % 65.82/66.01 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H42c]. % 65.82/66.01 congruence. % 65.82/66.01 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 65.82/66.01 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e22)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H42c. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_Hd1. % 65.82/66.01 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 65.82/66.01 cut (((op2 (e23) (e22)) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H427]. % 65.82/66.01 congruence. % 65.82/66.01 apply (zenon_L605_); trivial. % 65.82/66.01 apply zenon_Hd2. apply refl_equal. % 65.82/66.01 apply zenon_Hd2. apply refl_equal. % 65.82/66.01 apply zenon_H42b. apply sym_equal. exact zenon_Hda. % 65.82/66.01 apply zenon_Hd2. apply refl_equal. % 65.82/66.01 apply zenon_Hd2. apply refl_equal. % 65.82/66.01 (* end of lemma zenon_L606_ *) % 65.82/66.01 assert (zenon_L607_ : (~((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e21))))) -> ((op2 (e23) (e21)) = (e20)) -> False). % 65.82/66.01 do 0 intro. intros zenon_H42d zenon_H55. % 65.82/66.01 cut (((e20) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 65.82/66.01 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 65.82/66.01 congruence. % 65.82/66.01 apply zenon_H24. apply refl_equal. % 65.82/66.01 apply zenon_H5a. apply sym_equal. exact zenon_H55. % 65.82/66.01 (* end of lemma zenon_L607_ *) % 65.82/66.01 assert (zenon_L608_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (e21)) = (e23)) -> False). % 65.82/66.01 do 0 intro. intros zenon_H96 zenon_H428 zenon_H55 zenon_He1. % 65.82/66.01 cut (((op2 (e23) (op2 (e23) (e21))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H96. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_H428. % 65.82/66.01 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H42e]. % 65.82/66.01 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H42f]. % 65.82/66.01 congruence. % 65.82/66.01 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1ad ]. % 65.82/66.01 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e20)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H42f. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_H1ac. % 65.82/66.01 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ad]. % 65.82/66.01 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H42d]. % 65.82/66.01 congruence. % 65.82/66.01 apply (zenon_L607_); trivial. % 65.82/66.01 apply zenon_H1ad. apply refl_equal. % 65.82/66.01 apply zenon_H1ad. apply refl_equal. % 65.82/66.01 apply zenon_H42e. apply sym_equal. exact zenon_He1. % 65.82/66.01 (* end of lemma zenon_L608_ *) % 65.82/66.01 assert (zenon_L609_ : (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 65.82/66.01 do 0 intro. intros zenon_H429 zenon_H428 zenon_H55 zenon_He5. % 65.82/66.01 cut (((op2 (e23) (op2 (e23) (e21))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H429. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_H428. % 65.82/66.01 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e1]. % 65.82/66.01 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H42f]. % 65.82/66.01 congruence. % 65.82/66.01 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1ad ]. % 65.82/66.01 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e20)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H42f. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_H1ac. % 65.82/66.01 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ad]. % 65.82/66.01 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H42d]. % 65.82/66.01 congruence. % 65.82/66.01 apply (zenon_L607_); trivial. % 65.82/66.01 apply zenon_H1ad. apply refl_equal. % 65.82/66.01 apply zenon_H1ad. apply refl_equal. % 65.82/66.01 apply zenon_H1e1. apply sym_equal. exact zenon_He5. % 65.82/66.01 (* end of lemma zenon_L609_ *) % 65.82/66.01 assert (zenon_L610_ : (~((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> False). % 65.82/66.01 do 0 intro. intros zenon_H430 zenon_He9. % 65.82/66.01 cut (((op2 (e23) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hee]. % 65.82/66.01 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 65.82/66.01 congruence. % 65.82/66.01 apply zenon_H24. apply refl_equal. % 65.82/66.01 exact (zenon_Hee zenon_He9). % 65.82/66.01 (* end of lemma zenon_L610_ *) % 65.82/66.01 assert (zenon_L611_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e23)) = (e23)) -> False). % 65.82/66.01 do 0 intro. intros zenon_H119 zenon_H26 zenon_H122 zenon_He9. % 65.82/66.01 cut (((e22) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H119. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_H26. % 65.82/66.01 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H430]. % 65.82/66.01 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H125]. % 65.82/66.01 congruence. % 65.82/66.01 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 65.82/66.01 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e22) = (op2 (e20) (e23)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H125. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_H36. % 65.82/66.01 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 65.82/66.01 cut (((op2 (e20) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H126]. % 65.82/66.01 congruence. % 65.82/66.01 exact (zenon_H126 zenon_H122). % 65.82/66.01 apply zenon_H37. apply refl_equal. % 65.82/66.01 apply zenon_H37. apply refl_equal. % 65.82/66.01 apply (zenon_L610_); trivial. % 65.82/66.01 (* end of lemma zenon_L611_ *) % 65.82/66.01 assert (zenon_L612_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> False). % 65.82/66.01 do 0 intro. intros zenon_H431 zenon_H94 zenon_H96 zenon_H55 zenon_H428 zenon_H429 zenon_H119 zenon_H26 zenon_H122. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H431); [ zenon_intro zenon_Hda | zenon_intro zenon_H432 ]. % 65.82/66.01 apply (zenon_L606_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_He1 | zenon_intro zenon_H433 ]. % 65.82/66.01 apply (zenon_L608_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H433); [ zenon_intro zenon_He5 | zenon_intro zenon_He9 ]. % 65.82/66.01 apply (zenon_L609_); trivial. % 65.82/66.01 apply (zenon_L611_); trivial. % 65.82/66.01 (* end of lemma zenon_L612_ *) % 65.82/66.01 assert (zenon_L613_ : (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e23) (e23)) = (e23)) -> False). % 65.82/66.01 do 0 intro. intros zenon_H109 zenon_H26 zenon_H156 zenon_He9. % 65.82/66.01 cut (((e22) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H109. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_H26. % 65.82/66.01 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H430]. % 65.82/66.01 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H157]. % 65.82/66.01 congruence. % 65.82/66.01 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 65.82/66.01 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e22) = (op2 (e21) (e23)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H157. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_Had. % 65.82/66.01 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 65.82/66.01 cut (((op2 (e21) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H434]. % 65.82/66.01 congruence. % 65.82/66.01 exact (zenon_H434 zenon_H156). % 65.82/66.01 apply zenon_Hae. apply refl_equal. % 65.82/66.01 apply zenon_Hae. apply refl_equal. % 65.82/66.01 apply (zenon_L610_); trivial. % 65.82/66.01 (* end of lemma zenon_L613_ *) % 65.82/66.01 assert (zenon_L614_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.82/66.01 do 0 intro. intros zenon_H431 zenon_H94 zenon_H96 zenon_H55 zenon_H428 zenon_H429 zenon_H109 zenon_H26 zenon_H156. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H431); [ zenon_intro zenon_Hda | zenon_intro zenon_H432 ]. % 65.82/66.01 apply (zenon_L606_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_He1 | zenon_intro zenon_H433 ]. % 65.82/66.01 apply (zenon_L608_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H433); [ zenon_intro zenon_He5 | zenon_intro zenon_He9 ]. % 65.82/66.01 apply (zenon_L609_); trivial. % 65.82/66.01 apply (zenon_L613_); trivial. % 65.82/66.01 (* end of lemma zenon_L614_ *) % 65.82/66.01 assert (zenon_L615_ : (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e23) (e23)) = (e23)) -> False). % 65.82/66.01 do 0 intro. intros zenon_H17a zenon_H26 zenon_Hd8 zenon_He9. % 65.82/66.01 cut (((e22) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H17a. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_H26. % 65.82/66.01 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H430]. % 65.82/66.01 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H15b]. % 65.82/66.01 congruence. % 65.82/66.01 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 65.82/66.01 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e22) = (op2 (e22) (e23)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H15b. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_H158. % 65.82/66.01 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 65.82/66.01 cut (((op2 (e22) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H15c]. % 65.82/66.01 congruence. % 65.82/66.01 exact (zenon_H15c zenon_Hd8). % 65.82/66.01 apply zenon_H159. apply refl_equal. % 65.82/66.01 apply zenon_H159. apply refl_equal. % 65.82/66.01 apply (zenon_L610_); trivial. % 65.82/66.01 (* end of lemma zenon_L615_ *) % 65.82/66.01 assert (zenon_L616_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> False). % 65.82/66.01 do 0 intro. intros zenon_H431 zenon_H94 zenon_H96 zenon_H55 zenon_H428 zenon_H429 zenon_H17a zenon_H26 zenon_Hd8. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H431); [ zenon_intro zenon_Hda | zenon_intro zenon_H432 ]. % 65.82/66.01 apply (zenon_L606_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_He1 | zenon_intro zenon_H433 ]. % 65.82/66.01 apply (zenon_L608_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H433); [ zenon_intro zenon_He5 | zenon_intro zenon_He9 ]. % 65.82/66.01 apply (zenon_L609_); trivial. % 65.82/66.01 apply (zenon_L615_); trivial. % 65.82/66.01 (* end of lemma zenon_L616_ *) % 65.82/66.01 assert (zenon_L617_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e22)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H1dd zenon_H119 zenon_H109 zenon_H17a zenon_H429 zenon_H428 zenon_H55 zenon_H96 zenon_H94 zenon_H431 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H122 | zenon_intro zenon_H1de ]. % 65.82/66.01 apply (zenon_L612_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H156 | zenon_intro zenon_H1df ]. % 65.82/66.01 apply (zenon_L614_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1d9 ]. % 65.82/66.01 apply (zenon_L616_); trivial. % 65.82/66.01 apply (zenon_L199_); trivial. % 65.82/66.01 (* end of lemma zenon_L617_ *) % 65.82/66.01 assert (zenon_L618_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H435 zenon_H431 zenon_H96 zenon_H55 zenon_H428 zenon_H429 zenon_H17a zenon_H109 zenon_H119 zenon_H1dd zenon_Hd0 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H435); [ zenon_intro zenon_H1aa | zenon_intro zenon_H436 ]. % 65.82/66.01 apply (zenon_L154_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H436); [ zenon_intro zenon_H94 | zenon_intro zenon_H437 ]. % 65.82/66.01 apply (zenon_L617_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H437); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1d9 ]. % 65.82/66.01 apply (zenon_L51_); trivial. % 65.82/66.01 apply (zenon_L199_); trivial. % 65.82/66.01 (* end of lemma zenon_L618_ *) % 65.82/66.01 assert (zenon_L619_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e21) (e21)) = (e20))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H71 zenon_H13c zenon_H145 zenon_H8f zenon_H72 zenon_H29 zenon_H44 zenon_H435 zenon_H431 zenon_H96 zenon_H428 zenon_H429 zenon_H17a zenon_H109 zenon_H119 zenon_H1dd zenon_Hd0 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H1b | zenon_intro zenon_H73 ]. % 65.82/66.01 apply (zenon_L123_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 65.82/66.01 exact (zenon_H72 zenon_H75). % 65.82/66.01 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H45 | zenon_intro zenon_H55 ]. % 65.82/66.01 apply (zenon_L12_); trivial. % 65.82/66.01 apply (zenon_L618_); trivial. % 65.82/66.01 (* end of lemma zenon_L619_ *) % 65.82/66.01 assert (zenon_L620_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H435 zenon_H122 zenon_H119 zenon_H429 zenon_H428 zenon_H55 zenon_H96 zenon_H431 zenon_Hd0 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H435); [ zenon_intro zenon_H1aa | zenon_intro zenon_H436 ]. % 65.82/66.01 apply (zenon_L154_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H436); [ zenon_intro zenon_H94 | zenon_intro zenon_H437 ]. % 65.82/66.01 apply (zenon_L612_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H437); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1d9 ]. % 65.82/66.01 apply (zenon_L51_); trivial. % 65.82/66.01 apply (zenon_L199_); trivial. % 65.82/66.01 (* end of lemma zenon_L620_ *) % 65.82/66.01 assert (zenon_L621_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e21) (e21)) = (e20))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H71 zenon_H13c zenon_H145 zenon_H8f zenon_H72 zenon_H29 zenon_H44 zenon_H435 zenon_H122 zenon_H119 zenon_H429 zenon_H428 zenon_H96 zenon_H431 zenon_Hd0 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H1b | zenon_intro zenon_H73 ]. % 65.82/66.01 apply (zenon_L123_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 65.82/66.01 exact (zenon_H72 zenon_H75). % 65.82/66.01 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H45 | zenon_intro zenon_H55 ]. % 65.82/66.01 apply (zenon_L12_); trivial. % 65.82/66.01 apply (zenon_L620_); trivial. % 65.82/66.01 (* end of lemma zenon_L621_ *) % 65.82/66.01 assert (zenon_L622_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> False). % 65.82/66.01 do 0 intro. intros zenon_H7c zenon_H194 zenon_H1dd zenon_H109 zenon_H17a zenon_H123 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_H6e zenon_H28 zenon_H142 zenon_H127 zenon_H135 zenon_H12b zenon_H4a zenon_H131 zenon_H136 zenon_Hba zenon_H19 zenon_H26 zenon_Hd0 zenon_H431 zenon_H96 zenon_H428 zenon_H429 zenon_H119 zenon_H435 zenon_H44 zenon_H29 zenon_H13c zenon_H71 zenon_H33 zenon_H8f. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7e. zenon_intro zenon_H7d. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H5d. zenon_intro zenon_H15. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H145 | zenon_intro zenon_H195 ]. % 65.82/66.01 apply (zenon_L619_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H63 | zenon_intro zenon_H196 ]. % 65.82/66.01 apply (zenon_L19_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H122 ]. % 65.82/66.01 apply (zenon_L76_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.82/66.01 apply (zenon_L5_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.82/66.01 apply (zenon_L12_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.82/66.01 exact (zenon_H4f zenon_H4b). % 65.82/66.01 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H14 | zenon_intro zenon_H143 ]. % 65.82/66.01 exact (zenon_H17 zenon_H14). % 65.82/66.01 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H13a | zenon_intro zenon_H144 ]. % 65.82/66.01 apply (zenon_L89_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H145 | zenon_intro zenon_H13e ]. % 65.82/66.01 apply (zenon_L621_); trivial. % 65.82/66.01 apply (zenon_L90_); trivial. % 65.82/66.01 (* end of lemma zenon_L622_ *) % 65.82/66.01 assert (zenon_L623_ : ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H428 zenon_H94 zenon_H1d2 zenon_H438. % 65.82/66.01 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 65.82/66.01 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H438. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_Hd1. % 65.82/66.01 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 65.82/66.01 cut (((op2 (e23) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H439]. % 65.82/66.01 congruence. % 65.82/66.01 cut (((op2 (e23) (op2 (e23) (e21))) = (e23)) = ((op2 (e23) (e22)) = (op2 (e22) (e22)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H439. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_H428. % 65.82/66.01 cut (((e23) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1d5]. % 65.82/66.01 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H42c]. % 65.82/66.01 congruence. % 65.82/66.01 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 65.82/66.01 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e22)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H42c. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_Hd1. % 65.82/66.01 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 65.82/66.01 cut (((op2 (e23) (e22)) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H427]. % 65.82/66.01 congruence. % 65.82/66.01 apply (zenon_L605_); trivial. % 65.82/66.01 apply zenon_Hd2. apply refl_equal. % 65.82/66.01 apply zenon_Hd2. apply refl_equal. % 65.82/66.01 apply zenon_H1d5. apply sym_equal. exact zenon_H1d2. % 65.82/66.01 apply zenon_Hd2. apply refl_equal. % 65.82/66.01 apply zenon_Hd2. apply refl_equal. % 65.82/66.01 (* end of lemma zenon_L623_ *) % 65.82/66.01 assert (zenon_L624_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_Hb3 zenon_H9c zenon_H56 zenon_H19 zenon_H8a zenon_H1d6 zenon_H26 zenon_H29 zenon_H4a zenon_H1c0 zenon_H428 zenon_H438. % 65.82/66.01 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 65.82/66.01 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_H32. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.01 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.01 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.01 apply (zenon_L19_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.01 exact (zenon_H9d zenon_Ha3). % 65.82/66.01 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.01 apply (zenon_L33_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H4b | zenon_intro zenon_H1d7 ]. % 65.82/66.01 apply (zenon_L13_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H177 | zenon_intro zenon_H1d8 ]. % 65.82/66.01 apply (zenon_L171_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1d2 ]. % 65.82/66.01 exact (zenon_Hce zenon_Hcc). % 65.82/66.01 apply (zenon_L623_); trivial. % 65.82/66.01 (* end of lemma zenon_L624_ *) % 65.82/66.01 assert (zenon_L625_ : (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 65.82/66.01 do 0 intro. intros zenon_H43a zenon_H19 zenon_H43b. % 65.82/66.01 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H43a. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_H19. % 65.82/66.01 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.82/66.01 cut (((e21) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H43c]. % 65.82/66.01 congruence. % 65.82/66.01 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1ad ]. % 65.82/66.01 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e21) = (op2 (e23) (e20)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H43c. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_H1ac. % 65.82/66.01 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ad]. % 65.82/66.01 cut (((op2 (e23) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H43d]. % 65.82/66.01 congruence. % 65.82/66.01 exact (zenon_H43d zenon_H43b). % 65.82/66.01 apply zenon_H1ad. apply refl_equal. % 65.82/66.01 apply zenon_H1ad. apply refl_equal. % 65.82/66.01 apply zenon_Hbc. apply refl_equal. % 65.82/66.01 (* end of lemma zenon_L625_ *) % 65.82/66.01 assert (zenon_L626_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H43e zenon_H14 zenon_H8f zenon_H76 zenon_H43a zenon_H19 zenon_H26 zenon_H96 zenon_H428 zenon_H94 zenon_H429. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H43e); [ zenon_intro zenon_H77 | zenon_intro zenon_H43f ]. % 65.82/66.01 apply (zenon_L35_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H43f); [ zenon_intro zenon_H43b | zenon_intro zenon_H440 ]. % 65.82/66.01 apply (zenon_L625_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H440); [ zenon_intro zenon_H1aa | zenon_intro zenon_Hda ]. % 65.82/66.01 apply (zenon_L154_); trivial. % 65.82/66.01 apply (zenon_L606_); trivial. % 65.82/66.01 (* end of lemma zenon_L626_ *) % 65.82/66.01 assert (zenon_L627_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H1d6 zenon_H26 zenon_H29 zenon_H4a zenon_H187 zenon_H150 zenon_Hce zenon_H428 zenon_H94 zenon_H438. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H4b | zenon_intro zenon_H1d7 ]. % 65.82/66.01 apply (zenon_L13_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H177 | zenon_intro zenon_H1d8 ]. % 65.82/66.01 apply (zenon_L141_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1d2 ]. % 65.82/66.01 exact (zenon_Hce zenon_Hcc). % 65.82/66.01 apply (zenon_L623_); trivial. % 65.82/66.01 (* end of lemma zenon_L627_ *) % 65.82/66.01 assert (zenon_L628_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H1d6 zenon_H26 zenon_H29 zenon_H4a zenon_H19 zenon_Hb5 zenon_H176 zenon_Hce zenon_H428 zenon_H94 zenon_H438. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H4b | zenon_intro zenon_H1d7 ]. % 65.82/66.01 apply (zenon_L13_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H177 | zenon_intro zenon_H1d8 ]. % 65.82/66.01 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H176. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_H19. % 65.82/66.01 cut (((op2 (e23) (e23)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1be]. % 65.82/66.01 cut (((e21) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114]. % 65.82/66.01 congruence. % 65.82/66.01 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 65.82/66.01 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e21) = (op2 (e21) (e22)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H114. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_Ha7. % 65.82/66.01 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 65.82/66.01 cut (((op2 (e21) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H441]. % 65.82/66.01 congruence. % 65.82/66.01 exact (zenon_H441 zenon_Hb5). % 65.82/66.01 apply zenon_Ha8. apply refl_equal. % 65.82/66.01 apply zenon_Ha8. apply refl_equal. % 65.82/66.01 apply (zenon_L167_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1d2 ]. % 65.82/66.01 exact (zenon_Hce zenon_Hcc). % 65.82/66.01 apply (zenon_L623_); trivial. % 65.82/66.01 (* end of lemma zenon_L628_ *) % 65.82/66.01 assert (zenon_L629_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H9c zenon_H56 zenon_H9d zenon_H8a zenon_H19e zenon_H150 zenon_H438 zenon_H428 zenon_Hce zenon_H176 zenon_H4a zenon_H29 zenon_H26 zenon_H1d6 zenon_H16a zenon_H1a9 zenon_H19a zenon_H19. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.01 apply (zenon_L19_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.01 exact (zenon_H9d zenon_Ha3). % 65.82/66.01 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.01 apply (zenon_L33_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H187 | zenon_intro zenon_H19f ]. % 65.82/66.01 apply (zenon_L627_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a0 ]. % 65.82/66.01 apply (zenon_L628_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H177 | zenon_intro zenon_H19b ]. % 65.82/66.01 apply (zenon_L168_); trivial. % 65.82/66.01 apply (zenon_L133_); trivial. % 65.82/66.01 (* end of lemma zenon_L629_ *) % 65.82/66.01 assert (zenon_L630_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H442 zenon_H1a1 zenon_H5d zenon_H8f zenon_H33 zenon_Hb8 zenon_H3e zenon_H43e zenon_H76 zenon_H96 zenon_H429 zenon_H142 zenon_H44 zenon_H28 zenon_H6e zenon_H19a zenon_H1a9 zenon_H1d6 zenon_H26 zenon_H29 zenon_H4a zenon_H176 zenon_Hce zenon_H428 zenon_H438 zenon_H150 zenon_H19e zenon_H8a zenon_H9d zenon_H56 zenon_H9c zenon_H43a zenon_H19. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H442); [ zenon_intro zenon_H13a | zenon_intro zenon_H443 ]. % 65.82/66.01 apply (zenon_L135_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H443); [ zenon_intro zenon_H7e | zenon_intro zenon_H444 ]. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.01 apply (zenon_L19_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.01 exact (zenon_H9d zenon_Ha3). % 65.82/66.01 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.01 apply (zenon_L33_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.82/66.01 apply (zenon_L5_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.82/66.01 apply (zenon_L12_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.82/66.01 apply (zenon_L13_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H14 | zenon_intro zenon_H143 ]. % 65.82/66.01 apply (zenon_L626_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H13a | zenon_intro zenon_H144 ]. % 65.82/66.01 apply (zenon_L96_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H145 | zenon_intro zenon_H13e ]. % 65.82/66.01 exact (zenon_Hb8 zenon_H145). % 65.82/66.01 apply (zenon_L90_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H444); [ zenon_intro zenon_H16a | zenon_intro zenon_H43b ]. % 65.82/66.01 apply (zenon_L629_); trivial. % 65.82/66.01 apply (zenon_L625_); trivial. % 65.82/66.01 (* end of lemma zenon_L630_ *) % 65.82/66.01 assert (zenon_L631_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H9c zenon_H56 zenon_H9d zenon_H19 zenon_H8a zenon_H1d6 zenon_H26 zenon_H29 zenon_H4a zenon_H187 zenon_H150 zenon_Hce zenon_H428 zenon_H438. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.01 apply (zenon_L19_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.01 exact (zenon_H9d zenon_Ha3). % 65.82/66.01 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.01 apply (zenon_L33_); trivial. % 65.82/66.01 apply (zenon_L627_); trivial. % 65.82/66.01 (* end of lemma zenon_L631_ *) % 65.82/66.01 assert (zenon_L632_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.01 do 0 intro. intros zenon_He3 zenon_H189 zenon_H127 zenon_H135 zenon_H12b zenon_H131 zenon_H13c zenon_H136 zenon_H43a zenon_H19e zenon_H176 zenon_H1a9 zenon_H19a zenon_H6e zenon_H28 zenon_H44 zenon_H142 zenon_H429 zenon_H96 zenon_H76 zenon_H43e zenon_H3e zenon_H33 zenon_H8f zenon_H1a1 zenon_H442 zenon_H438 zenon_H428 zenon_H150 zenon_H4a zenon_H29 zenon_H26 zenon_H1d6 zenon_H8a zenon_H56 zenon_H9c zenon_H119 zenon_H19. % 65.82/66.01 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.82/66.01 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.01 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.01 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.82/66.01 apply (zenon_L5_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.82/66.01 apply (zenon_L12_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.82/66.01 apply (zenon_L13_); trivial. % 65.82/66.01 apply (zenon_L89_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.82/66.01 apply (zenon_L630_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.82/66.01 apply (zenon_L631_); trivial. % 65.82/66.01 apply (zenon_L72_); trivial. % 65.82/66.01 (* end of lemma zenon_L632_ *) % 65.82/66.01 assert (zenon_L633_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> False). % 65.82/66.01 do 0 intro. intros zenon_Hf0 zenon_H71 zenon_H435 zenon_H431 zenon_H17a zenon_H109 zenon_H1dd zenon_H194 zenon_H1c0 zenon_Hba zenon_H123 zenon_H107 zenon_Hd0 zenon_H19 zenon_H119 zenon_H9c zenon_H56 zenon_H8a zenon_H1d6 zenon_H26 zenon_H29 zenon_H4a zenon_H150 zenon_H428 zenon_H438 zenon_H442 zenon_H1a1 zenon_H8f zenon_H33 zenon_H3e zenon_H43e zenon_H76 zenon_H96 zenon_H429 zenon_H142 zenon_H44 zenon_H28 zenon_H6e zenon_H19a zenon_H1a9 zenon_H176 zenon_H19e zenon_H43a zenon_H136 zenon_H13c zenon_H131 zenon_H12b zenon_H135 zenon_H127 zenon_H189. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.01 apply (zenon_L1_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.01 apply (zenon_L2_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.01 apply (zenon_L6_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.01 apply (zenon_L8_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.01 apply (zenon_L622_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.01 apply (zenon_L27_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.01 apply (zenon_L624_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.01 apply (zenon_L47_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.01 apply (zenon_L77_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.01 apply (zenon_L49_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.01 apply (zenon_L50_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.01 apply (zenon_L52_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.01 apply (zenon_L79_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.01 apply (zenon_L56_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.01 apply (zenon_L632_); trivial. % 65.82/66.01 apply (zenon_L58_); trivial. % 65.82/66.01 (* end of lemma zenon_L633_ *) % 65.82/66.01 assert (zenon_L634_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (e20))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H71 zenon_H8f zenon_H33 zenon_H13c zenon_H5d zenon_H1a1 zenon_H17 zenon_H142 zenon_H4f zenon_H28 zenon_H6e zenon_H72 zenon_H29 zenon_H44 zenon_H435 zenon_H122 zenon_H119 zenon_H429 zenon_H428 zenon_H96 zenon_H431 zenon_Hd0 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H1b | zenon_intro zenon_H73 ]. % 65.82/66.01 apply (zenon_L136_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 65.82/66.01 exact (zenon_H72 zenon_H75). % 65.82/66.01 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H45 | zenon_intro zenon_H55 ]. % 65.82/66.01 apply (zenon_L12_); trivial. % 65.82/66.01 apply (zenon_L620_); trivial. % 65.82/66.01 (* end of lemma zenon_L634_ *) % 65.82/66.01 assert (zenon_L635_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H7c zenon_H197 zenon_Hba zenon_H19 zenon_Hd0 zenon_H431 zenon_H96 zenon_H428 zenon_H429 zenon_H119 zenon_H435 zenon_H44 zenon_H6e zenon_H28 zenon_H142 zenon_H1a1 zenon_H13c zenon_H8f zenon_H71 zenon_H1af zenon_H1dd zenon_H17a zenon_H15d zenon_H109 zenon_Haa zenon_H161 zenon_H150 zenon_H14c zenon_H164 zenon_H16b zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_H194 zenon_H33 zenon_H29 zenon_H26. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7e. zenon_intro zenon_H7d. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H5d. zenon_intro zenon_H15. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.82/66.01 exact (zenon_H17 zenon_H14). % 65.82/66.01 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.82/66.01 apply (zenon_L136_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H145 | zenon_intro zenon_H195 ]. % 65.82/66.01 apply (zenon_L619_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H63 | zenon_intro zenon_H196 ]. % 65.82/66.01 apply (zenon_L19_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H122 ]. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H145 | zenon_intro zenon_H1b0 ]. % 65.82/66.01 apply (zenon_L619_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 65.82/66.01 apply (zenon_L105_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H1aa ]. % 65.82/66.01 apply (zenon_L148_); trivial. % 65.82/66.01 apply (zenon_L154_); trivial. % 65.82/66.01 apply (zenon_L634_); trivial. % 65.82/66.01 apply (zenon_L7_); trivial. % 65.82/66.01 (* end of lemma zenon_L635_ *) % 65.82/66.01 assert (zenon_L636_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e22)) = (e22)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H1d6 zenon_H4f zenon_H187 zenon_H150 zenon_H19 zenon_Hc6 zenon_H26 zenon_H428 zenon_H438. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.01 apply (zenon_L19_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.01 apply (zenon_L63_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.01 apply (zenon_L33_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H4b | zenon_intro zenon_H1d7 ]. % 65.82/66.01 exact (zenon_H4f zenon_H4b). % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H177 | zenon_intro zenon_H1d8 ]. % 65.82/66.01 apply (zenon_L141_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1d2 ]. % 65.82/66.01 apply (zenon_L99_); trivial. % 65.82/66.01 apply (zenon_L623_); trivial. % 65.82/66.01 (* end of lemma zenon_L636_ *) % 65.82/66.01 assert (zenon_L637_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H435 zenon_H96 zenon_H429 zenon_Hda zenon_H428 zenon_Hd0 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H435); [ zenon_intro zenon_H1aa | zenon_intro zenon_H436 ]. % 65.82/66.01 apply (zenon_L154_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H436); [ zenon_intro zenon_H94 | zenon_intro zenon_H437 ]. % 65.82/66.01 apply (zenon_L606_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H437); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1d9 ]. % 65.82/66.01 apply (zenon_L51_); trivial. % 65.82/66.01 apply (zenon_L199_); trivial. % 65.82/66.01 (* end of lemma zenon_L637_ *) % 65.82/66.01 assert (zenon_L638_ : (((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_Hdc zenon_H435 zenon_H96 zenon_H429 zenon_H428 zenon_Hd0 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.01 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.82/66.01 apply (zenon_L637_); trivial. % 65.82/66.01 (* end of lemma zenon_L638_ *) % 65.82/66.01 assert (zenon_L639_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H1d6 zenon_H26 zenon_H29 zenon_H4a zenon_H156 zenon_H15d zenon_H176 zenon_Hce zenon_H428 zenon_H94 zenon_H438. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H4b | zenon_intro zenon_H1d7 ]. % 65.82/66.01 apply (zenon_L13_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H177 | zenon_intro zenon_H1d8 ]. % 65.82/66.01 apply (zenon_L112_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1d2 ]. % 65.82/66.01 exact (zenon_Hce zenon_Hcc). % 65.82/66.01 apply (zenon_L623_); trivial. % 65.82/66.01 (* end of lemma zenon_L639_ *) % 65.82/66.01 assert (zenon_L640_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.01 do 0 intro. intros zenon_He3 zenon_H9c zenon_H56 zenon_H8a zenon_H161 zenon_Haa zenon_H438 zenon_H428 zenon_H176 zenon_H4a zenon_H29 zenon_H26 zenon_H1d6 zenon_H109 zenon_H15d zenon_H19. % 65.82/66.01 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.82/66.01 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.01 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.01 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.01 apply (zenon_L19_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.01 exact (zenon_H9d zenon_Ha3). % 65.82/66.01 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.01 apply (zenon_L33_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hab | zenon_intro zenon_H162 ]. % 65.82/66.01 apply (zenon_L39_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H163 ]. % 65.82/66.01 apply (zenon_L100_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H156 | zenon_intro zenon_He2 ]. % 65.82/66.01 apply (zenon_L639_); trivial. % 65.82/66.01 apply (zenon_L103_); trivial. % 65.82/66.01 (* end of lemma zenon_L640_ *) % 65.82/66.01 assert (zenon_L641_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H1af zenon_Hba zenon_Hd0 zenon_H1dd zenon_H119 zenon_H109 zenon_H17a zenon_H429 zenon_H428 zenon_H431 zenon_H435 zenon_H72 zenon_H71 zenon_H14c zenon_H1a6 zenon_H8f zenon_H33 zenon_H16b zenon_H13c zenon_H31 zenon_H17 zenon_H142 zenon_H4f zenon_H44 zenon_H29 zenon_H28 zenon_H6e zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_H96 zenon_H26 zenon_H19. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H145 | zenon_intro zenon_H1b0 ]. % 65.82/66.01 apply (zenon_L619_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 65.82/66.01 apply (zenon_L140_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H1aa ]. % 65.82/66.01 apply (zenon_L148_); trivial. % 65.82/66.01 apply (zenon_L154_); trivial. % 65.82/66.01 (* end of lemma zenon_L641_ *) % 65.82/66.01 assert (zenon_L642_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H197 zenon_H5d zenon_H1a1 zenon_H19 zenon_H96 zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H6e zenon_H28 zenon_H44 zenon_H4f zenon_H142 zenon_H17 zenon_H13c zenon_H16b zenon_H8f zenon_H1a6 zenon_H14c zenon_H71 zenon_H72 zenon_H435 zenon_H431 zenon_H428 zenon_H429 zenon_H17a zenon_H109 zenon_H119 zenon_H1dd zenon_Hd0 zenon_Hba zenon_H1af zenon_H33 zenon_H29 zenon_H26. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.82/66.01 exact (zenon_H17 zenon_H14). % 65.82/66.01 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.82/66.01 apply (zenon_L136_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.82/66.01 apply (zenon_L641_); trivial. % 65.82/66.01 apply (zenon_L7_); trivial. % 65.82/66.01 (* end of lemma zenon_L642_ *) % 65.82/66.01 assert (zenon_L643_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H7c zenon_H197 zenon_H1a1 zenon_H19 zenon_H96 zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H6e zenon_H28 zenon_H44 zenon_H142 zenon_H13c zenon_H16b zenon_H8f zenon_H1a6 zenon_H14c zenon_H71 zenon_H435 zenon_H431 zenon_H428 zenon_H429 zenon_H17a zenon_H109 zenon_H119 zenon_H1dd zenon_Hd0 zenon_Hba zenon_H1af zenon_H33 zenon_H29 zenon_H26. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7e. zenon_intro zenon_H7d. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H5d. zenon_intro zenon_H15. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.82/66.01 apply (zenon_L642_); trivial. % 65.82/66.01 (* end of lemma zenon_L643_ *) % 65.82/66.01 assert (zenon_L644_ : (((op2 (e20) (op2 (e20) (e23))) = (e20))\/(((op2 (e21) (op2 (e21) (e23))) = (e21))\/(((op2 (e22) (op2 (e22) (e23))) = (e22))\/((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e20) (op2 (e20) (e22))) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H1b8 zenon_H12b zenon_H43a zenon_H19e zenon_H1a9 zenon_H19a zenon_H76 zenon_H43e zenon_H3e zenon_H442 zenon_H123 zenon_H161 zenon_H176 zenon_H164 zenon_H194 zenon_H19 zenon_H96 zenon_H182 zenon_H14c zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_Haa zenon_H6e zenon_H28 zenon_H44 zenon_H29 zenon_H4a zenon_H1af zenon_H33 zenon_H435 zenon_H429 zenon_H428 zenon_Hd0 zenon_Hba zenon_H189 zenon_H191 zenon_H135 zenon_H136 zenon_H1dd zenon_H109 zenon_H17a zenon_H431 zenon_H71 zenon_H8f zenon_H16b zenon_H13c zenon_H142 zenon_H1a1 zenon_H197 zenon_H438 zenon_H150 zenon_H1d6 zenon_H119 zenon_H1c0 zenon_Hf0 zenon_H193 zenon_H26. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.82/66.01 apply (zenon_L633_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.01 apply (zenon_L1_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.01 apply (zenon_L2_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.01 apply (zenon_L6_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.01 apply (zenon_L8_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.01 apply (zenon_L635_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.01 apply (zenon_L27_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.01 apply (zenon_L624_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.01 apply (zenon_L47_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.01 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.82/66.01 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.82/66.01 exact (zenon_H17 zenon_H14). % 65.82/66.01 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.82/66.01 apply (zenon_L127_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.82/66.01 apply (zenon_L136_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.82/66.01 apply (zenon_L636_); trivial. % 65.82/66.01 apply (zenon_L72_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.82/66.01 apply (zenon_L148_); trivial. % 65.82/66.01 apply (zenon_L7_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.01 apply (zenon_L49_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.01 apply (zenon_L50_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.01 apply (zenon_L52_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.01 apply (zenon_L638_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.01 apply (zenon_L56_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.01 apply (zenon_L640_); trivial. % 65.82/66.01 apply (zenon_L58_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.01 apply (zenon_L1_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.01 apply (zenon_L2_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.01 apply (zenon_L6_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.01 apply (zenon_L8_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.01 apply (zenon_L643_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.01 apply (zenon_L27_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.01 apply (zenon_L624_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.01 apply (zenon_L47_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.01 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.82/66.01 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.82/66.01 apply (zenon_L127_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.82/66.01 apply (zenon_L642_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.82/66.01 apply (zenon_L636_); trivial. % 65.82/66.01 apply (zenon_L72_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.01 apply (zenon_L49_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.01 apply (zenon_L50_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.01 apply (zenon_L52_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.01 apply (zenon_L638_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.01 apply (zenon_L56_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.01 apply (zenon_L162_); trivial. % 65.82/66.01 apply (zenon_L58_); trivial. % 65.82/66.01 apply (zenon_L163_); trivial. % 65.82/66.01 (* end of lemma zenon_L644_ *) % 65.82/66.01 assert (zenon_L645_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> False). % 65.82/66.01 do 0 intro. intros zenon_Hb3 zenon_H171 zenon_H1bc. % 65.82/66.01 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 65.82/66.01 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_H32. % 65.82/66.01 apply (zenon_L170_); trivial. % 65.82/66.01 (* end of lemma zenon_L645_ *) % 65.82/66.01 assert (zenon_L646_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H445 zenon_H123 zenon_H94 zenon_H122 zenon_H177 zenon_H1bc zenon_H176 zenon_Hce zenon_H26 zenon_H19 zenon_Hd0. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H445); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H446 ]. % 65.82/66.01 apply (zenon_L74_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H446); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H447 ]. % 65.82/66.01 apply (zenon_L176_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H447); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hcf ]. % 65.82/66.01 exact (zenon_Hce zenon_Hcc). % 65.82/66.01 apply (zenon_L51_); trivial. % 65.82/66.01 (* end of lemma zenon_L646_ *) % 65.82/66.01 assert (zenon_L647_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.01 do 0 intro. intros zenon_He3 zenon_H9c zenon_H56 zenon_H8a zenon_H6e zenon_H28 zenon_H44 zenon_H19e zenon_H438 zenon_H428 zenon_H150 zenon_H4a zenon_H1d6 zenon_H118 zenon_H127 zenon_H33 zenon_H445 zenon_H123 zenon_H1bc zenon_H176 zenon_H26 zenon_Hd0 zenon_H119 zenon_H29 zenon_H12b zenon_H19a zenon_H19. % 65.82/66.01 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.82/66.01 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.01 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.01 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.01 apply (zenon_L19_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.01 exact (zenon_H9d zenon_Ha3). % 65.82/66.01 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.01 apply (zenon_L33_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.82/66.01 apply (zenon_L5_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.82/66.01 apply (zenon_L12_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.82/66.01 apply (zenon_L13_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H187 | zenon_intro zenon_H19f ]. % 65.82/66.01 apply (zenon_L627_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a0 ]. % 65.82/66.01 apply (zenon_L166_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H177 | zenon_intro zenon_H19b ]. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H34 | zenon_intro zenon_H12c ]. % 65.82/66.01 apply (zenon_L7_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H11a | zenon_intro zenon_H12d ]. % 65.82/66.01 apply (zenon_L72_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H122 | zenon_intro zenon_Hde ]. % 65.82/66.01 apply (zenon_L646_); trivial. % 65.82/66.01 apply (zenon_L75_); trivial. % 65.82/66.01 apply (zenon_L133_); trivial. % 65.82/66.01 (* end of lemma zenon_L647_ *) % 65.82/66.01 assert (zenon_L648_ : (((op2 (e20) (op2 (e20) (e23))) = (e20))\/(((op2 (e21) (op2 (e21) (e23))) = (e21))\/(((op2 (e22) (op2 (e22) (e23))) = (e22))\/((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H1b8 zenon_H445 zenon_H123 zenon_H12b zenon_H135 zenon_H136 zenon_H161 zenon_H19e zenon_H19a zenon_H1a9 zenon_H194 zenon_H19 zenon_H96 zenon_H182 zenon_H14c zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_Haa zenon_H6e zenon_H28 zenon_H44 zenon_H29 zenon_H4a zenon_H1af zenon_H33 zenon_H435 zenon_H429 zenon_H428 zenon_Hd0 zenon_Hba zenon_H197 zenon_H119 zenon_H1d6 zenon_H150 zenon_H438 zenon_H1a1 zenon_H181 zenon_H17a zenon_H1c9 zenon_H3e zenon_H176 zenon_H171 zenon_H17e zenon_H1bc zenon_H118 zenon_H109 zenon_H189 zenon_H8f zenon_H16b zenon_H13c zenon_H142 zenon_H1c0 zenon_H71 zenon_H431 zenon_H1dd zenon_Hf0 zenon_H193 zenon_H26. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.01 apply (zenon_L1_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.01 apply (zenon_L2_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.01 apply (zenon_L6_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.01 apply (zenon_L8_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.01 apply (zenon_L622_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.01 apply (zenon_L27_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.01 apply (zenon_L645_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.01 apply (zenon_L47_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.01 apply (zenon_L77_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.01 apply (zenon_L49_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.01 apply (zenon_L50_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.01 apply (zenon_L52_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.01 apply (zenon_L79_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.01 apply (zenon_L56_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.01 apply (zenon_L647_); trivial. % 65.82/66.01 apply (zenon_L58_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.82/66.01 apply (zenon_L173_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.01 apply (zenon_L1_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.01 apply (zenon_L2_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.01 apply (zenon_L6_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.01 apply (zenon_L8_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.01 apply (zenon_L643_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.01 apply (zenon_L27_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.01 apply (zenon_L624_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.01 apply (zenon_L47_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.01 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.82/66.01 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.82/66.01 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.82/66.01 exact (zenon_H17 zenon_H14). % 65.82/66.01 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.82/66.01 apply (zenon_L180_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.82/66.01 apply (zenon_L136_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.82/66.01 apply (zenon_L636_); trivial. % 65.82/66.01 apply (zenon_L72_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.82/66.01 apply (zenon_L148_); trivial. % 65.82/66.01 apply (zenon_L7_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.01 apply (zenon_L49_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.01 apply (zenon_L50_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.01 apply (zenon_L52_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.01 apply (zenon_L638_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.01 apply (zenon_L56_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.01 apply (zenon_L162_); trivial. % 65.82/66.01 apply (zenon_L58_); trivial. % 65.82/66.01 apply (zenon_L163_); trivial. % 65.82/66.01 (* end of lemma zenon_L648_ *) % 65.82/66.01 assert (zenon_L649_ : ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H1cc zenon_Hcc zenon_Hc6 zenon_H150. % 65.82/66.01 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ]. % 65.82/66.01 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H150. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_H4d. % 65.82/66.01 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 65.82/66.01 cut (((op2 (e22) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H151]. % 65.82/66.01 congruence. % 65.82/66.01 cut (((op2 (e22) (op2 (e22) (e22))) = (e22)) = ((op2 (e22) (e22)) = (op2 (e20) (e22)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H151. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_H1cc. % 65.82/66.01 cut (((e22) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H11e]. % 65.82/66.01 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1d1]. % 65.82/66.01 congruence. % 65.82/66.01 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ]. % 65.82/66.01 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22)))). % 65.82/66.01 intro zenon_D_pnotp. % 65.82/66.01 apply zenon_H1d1. % 65.82/66.01 rewrite <- zenon_D_pnotp. % 65.82/66.01 exact zenon_H4d. % 65.82/66.01 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 65.82/66.01 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H1cf]. % 65.82/66.01 congruence. % 65.82/66.01 apply (zenon_L189_); trivial. % 65.82/66.01 apply zenon_H4e. apply refl_equal. % 65.82/66.01 apply zenon_H4e. apply refl_equal. % 65.82/66.01 apply zenon_H11e. apply sym_equal. exact zenon_Hc6. % 65.82/66.01 apply zenon_H4e. apply refl_equal. % 65.82/66.01 apply zenon_H4e. apply refl_equal. % 65.82/66.01 (* end of lemma zenon_L649_ *) % 65.82/66.01 assert (zenon_L650_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 65.82/66.01 do 0 intro. intros zenon_H9c zenon_H56 zenon_H107 zenon_H19 zenon_H26 zenon_H1d6 zenon_H4f zenon_H8a zenon_H150 zenon_Hc6 zenon_H1cc zenon_H428 zenon_H438. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.01 apply (zenon_L19_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.01 apply (zenon_L63_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.01 apply (zenon_L33_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H4b | zenon_intro zenon_H1d7 ]. % 65.82/66.01 exact (zenon_H4f zenon_H4b). % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H177 | zenon_intro zenon_H1d8 ]. % 65.82/66.01 apply (zenon_L188_); trivial. % 65.82/66.01 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1d2 ]. % 65.82/66.01 apply (zenon_L649_); trivial. % 65.82/66.01 apply (zenon_L623_); trivial. % 65.82/66.01 (* end of lemma zenon_L650_ *) % 65.82/66.01 assert (zenon_L651_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H7c zenon_H194 zenon_H1dd zenon_H109 zenon_H17a zenon_H438 zenon_H1cc zenon_H150 zenon_H8a zenon_H1d6 zenon_H107 zenon_H56 zenon_H9c zenon_H71 zenon_H8f zenon_H33 zenon_H13c zenon_H1a1 zenon_H142 zenon_H28 zenon_H6e zenon_H29 zenon_H44 zenon_H435 zenon_H119 zenon_H429 zenon_H428 zenon_H96 zenon_H431 zenon_Hd0 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.02 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7e. zenon_intro zenon_H7d. % 65.82/66.02 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H5d. zenon_intro zenon_H15. % 65.82/66.02 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.02 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.82/66.02 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H145 | zenon_intro zenon_H195 ]. % 65.82/66.02 apply (zenon_L619_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H63 | zenon_intro zenon_H196 ]. % 65.82/66.02 apply (zenon_L19_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H122 ]. % 65.82/66.02 apply (zenon_L650_); trivial. % 65.82/66.02 apply (zenon_L634_); trivial. % 65.82/66.02 (* end of lemma zenon_L651_ *) % 65.82/66.02 assert (zenon_L652_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H9c zenon_H56 zenon_H9d zenon_H19 zenon_H1d6 zenon_H26 zenon_H29 zenon_H4a zenon_H1cc zenon_H8a zenon_Hce zenon_H428 zenon_H438. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.02 apply (zenon_L19_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.02 exact (zenon_H9d zenon_Ha3). % 65.82/66.02 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.02 apply (zenon_L33_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H4b | zenon_intro zenon_H1d7 ]. % 65.82/66.02 apply (zenon_L13_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H177 | zenon_intro zenon_H1d8 ]. % 65.82/66.02 apply (zenon_L188_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1d2 ]. % 65.82/66.02 exact (zenon_Hce zenon_Hcc). % 65.82/66.02 apply (zenon_L623_); trivial. % 65.82/66.02 (* end of lemma zenon_L652_ *) % 65.82/66.02 assert (zenon_L653_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_Hb3 zenon_H9c zenon_H56 zenon_H19 zenon_H1d6 zenon_H26 zenon_H29 zenon_H4a zenon_H1cc zenon_H8a zenon_H428 zenon_H438. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_H32. % 65.82/66.02 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 65.82/66.02 apply (zenon_L652_); trivial. % 65.82/66.02 (* end of lemma zenon_L653_ *) % 65.82/66.02 assert (zenon_L654_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_He3 zenon_H9c zenon_H56 zenon_H19 zenon_H1d6 zenon_H26 zenon_H29 zenon_H4a zenon_H1cc zenon_H8a zenon_H428 zenon_H438. % 65.82/66.02 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.82/66.02 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.82/66.02 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 65.82/66.02 apply (zenon_L652_); trivial. % 65.82/66.02 (* end of lemma zenon_L654_ *) % 65.82/66.02 assert (zenon_L655_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> False). % 65.82/66.02 do 0 intro. intros zenon_Hf0 zenon_H431 zenon_H119 zenon_H44 zenon_H6e zenon_H28 zenon_H142 zenon_H1a1 zenon_H13c zenon_H33 zenon_H8f zenon_H71 zenon_H150 zenon_H17a zenon_H109 zenon_H1dd zenon_H194 zenon_Haa zenon_H1a9 zenon_H107 zenon_H131 zenon_H14c zenon_H182 zenon_Hba zenon_Hd0 zenon_H429 zenon_H96 zenon_H435 zenon_H438 zenon_H428 zenon_H8a zenon_H1cc zenon_H4a zenon_H29 zenon_H26 zenon_H1d6 zenon_H19 zenon_H56 zenon_H9c. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.02 apply (zenon_L1_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.02 apply (zenon_L2_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.02 apply (zenon_L6_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.02 apply (zenon_L8_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.02 apply (zenon_L651_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.02 apply (zenon_L27_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.02 apply (zenon_L653_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.02 apply (zenon_L47_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.02 apply (zenon_L195_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.02 apply (zenon_L49_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.02 apply (zenon_L50_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.02 apply (zenon_L52_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.02 apply (zenon_L638_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.02 apply (zenon_L56_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.02 apply (zenon_L654_); trivial. % 65.82/66.02 apply (zenon_L58_); trivial. % 65.82/66.02 (* end of lemma zenon_L655_ *) % 65.82/66.02 assert (zenon_L656_ : ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H428 zenon_H94 zenon_H448 zenon_H135. % 65.82/66.02 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 65.82/66.02 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H135. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_Hd1. % 65.82/66.02 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 65.82/66.02 cut (((op2 (e23) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H449]. % 65.82/66.02 congruence. % 65.82/66.02 cut (((op2 (e23) (op2 (e23) (e21))) = (e23)) = ((op2 (e23) (e22)) = (op2 (e20) (e22)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H449. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H428. % 65.82/66.02 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H44a]. % 65.82/66.02 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H42c]. % 65.82/66.02 congruence. % 65.82/66.02 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 65.82/66.02 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e22)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H42c. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_Hd1. % 65.82/66.02 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 65.82/66.02 cut (((op2 (e23) (e22)) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H427]. % 65.82/66.02 congruence. % 65.82/66.02 apply (zenon_L605_); trivial. % 65.82/66.02 apply zenon_Hd2. apply refl_equal. % 65.82/66.02 apply zenon_Hd2. apply refl_equal. % 65.82/66.02 apply zenon_H44a. apply sym_equal. exact zenon_H448. % 65.82/66.02 apply zenon_Hd2. apply refl_equal. % 65.82/66.02 apply zenon_Hd2. apply refl_equal. % 65.82/66.02 (* end of lemma zenon_L656_ *) % 65.82/66.02 assert (zenon_L657_ : ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H428 zenon_H94 zenon_H1c5 zenon_Ha0. % 65.82/66.02 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 65.82/66.02 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_Ha0. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_Hd1. % 65.82/66.02 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 65.82/66.02 cut (((op2 (e23) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H44b]. % 65.82/66.02 congruence. % 65.82/66.02 cut (((op2 (e23) (op2 (e23) (e21))) = (e23)) = ((op2 (e23) (e22)) = (op2 (e21) (e22)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H44b. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H428. % 65.82/66.02 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1c8]. % 65.82/66.02 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H42c]. % 65.82/66.02 congruence. % 65.82/66.02 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 65.82/66.02 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e22)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H42c. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_Hd1. % 65.82/66.02 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 65.82/66.02 cut (((op2 (e23) (e22)) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H427]. % 65.82/66.02 congruence. % 65.82/66.02 apply (zenon_L605_); trivial. % 65.82/66.02 apply zenon_Hd2. apply refl_equal. % 65.82/66.02 apply zenon_Hd2. apply refl_equal. % 65.82/66.02 apply zenon_H1c8. apply sym_equal. exact zenon_H1c5. % 65.82/66.02 apply zenon_Hd2. apply refl_equal. % 65.82/66.02 apply zenon_Hd2. apply refl_equal. % 65.82/66.02 (* end of lemma zenon_L657_ *) % 65.82/66.02 assert (zenon_L658_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e23)) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H435 zenon_H96 zenon_Ha0 zenon_H1c5 zenon_H428 zenon_Hd0 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H435); [ zenon_intro zenon_H1aa | zenon_intro zenon_H436 ]. % 65.82/66.02 apply (zenon_L154_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H436); [ zenon_intro zenon_H94 | zenon_intro zenon_H437 ]. % 65.82/66.02 apply (zenon_L657_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H437); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1d9 ]. % 65.82/66.02 apply (zenon_L51_); trivial. % 65.82/66.02 apply (zenon_L199_); trivial. % 65.82/66.02 (* end of lemma zenon_L658_ *) % 65.82/66.02 assert (zenon_L659_ : ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H1e2 zenon_He5 zenon_He2 zenon_H109. % 65.82/66.02 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1da | zenon_intro zenon_Hbc ]. % 65.82/66.02 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H109. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H1da. % 65.82/66.02 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.82/66.02 cut (((op2 (e23) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H44c]. % 65.82/66.02 congruence. % 65.82/66.02 cut (((op2 (e23) (op2 (e23) (e22))) = (e23)) = ((op2 (e23) (e23)) = (op2 (e21) (e23)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H44c. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H1e2. % 65.82/66.02 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H160]. % 65.82/66.02 cut (((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1e4]. % 65.82/66.02 congruence. % 65.82/66.02 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1da | zenon_intro zenon_Hbc ]. % 65.82/66.02 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (e23)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H1e4. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H1da. % 65.82/66.02 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.82/66.02 cut (((op2 (e23) (e23)) = (op2 (e23) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H1e0]. % 65.82/66.02 congruence. % 65.82/66.02 apply (zenon_L205_); trivial. % 65.82/66.02 apply zenon_Hbc. apply refl_equal. % 65.82/66.02 apply zenon_Hbc. apply refl_equal. % 65.82/66.02 apply zenon_H160. apply sym_equal. exact zenon_He2. % 65.82/66.02 apply zenon_Hbc. apply refl_equal. % 65.82/66.02 apply zenon_Hbc. apply refl_equal. % 65.82/66.02 (* end of lemma zenon_L659_ *) % 65.82/66.02 assert (zenon_L660_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.82/66.02 do 0 intro. intros zenon_H44d zenon_H119 zenon_H17a zenon_He5 zenon_H1e2 zenon_H109 zenon_H26 zenon_H156. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H44e ]. % 65.82/66.02 apply (zenon_L206_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H44e); [ zenon_intro zenon_He2 | zenon_intro zenon_H44f ]. % 65.82/66.02 apply (zenon_L659_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H44f); [ zenon_intro zenon_He6 | zenon_intro zenon_He9 ]. % 65.82/66.02 apply (zenon_L209_); trivial. % 65.82/66.02 apply (zenon_L613_); trivial. % 65.82/66.02 (* end of lemma zenon_L660_ *) % 65.82/66.02 assert (zenon_L661_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.82/66.02 do 0 intro. intros zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H450 zenon_H135 zenon_Hba zenon_H19 zenon_Hd0 zenon_Ha0 zenon_H96 zenon_H435 zenon_H438 zenon_H428 zenon_H44d zenon_H119 zenon_H17a zenon_H1e2 zenon_H109 zenon_H26 zenon_H156. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.02 apply (zenon_L19_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.02 apply (zenon_L63_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.02 apply (zenon_L33_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H450); [ zenon_intro zenon_H448 | zenon_intro zenon_H451 ]. % 65.82/66.02 apply (zenon_L656_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H451); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H452 ]. % 65.82/66.02 apply (zenon_L658_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H452); [ zenon_intro zenon_H1d2 | zenon_intro zenon_He5 ]. % 65.82/66.02 apply (zenon_L623_); trivial. % 65.82/66.02 apply (zenon_L660_); trivial. % 65.82/66.02 (* end of lemma zenon_L661_ *) % 65.82/66.02 assert (zenon_L662_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_Hc3 zenon_H182 zenon_H15d zenon_Haa zenon_H29 zenon_H161 zenon_H150 zenon_H14c zenon_H164 zenon_H131 zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H450 zenon_H135 zenon_Hba zenon_H19 zenon_Hd0 zenon_Ha0 zenon_H96 zenon_H435 zenon_H438 zenon_H428 zenon_H44d zenon_H119 zenon_H17a zenon_H1e2 zenon_H109 zenon_H26. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H14d | zenon_intro zenon_H185 ]. % 65.82/66.02 apply (zenon_L105_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H186 ]. % 65.82/66.02 apply (zenon_L63_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H156 ]. % 65.82/66.02 apply (zenon_L107_); trivial. % 65.82/66.02 apply (zenon_L661_); trivial. % 65.82/66.02 (* end of lemma zenon_L662_ *) % 65.82/66.02 assert (zenon_L663_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H435 zenon_H96 zenon_H135 zenon_H448 zenon_H428 zenon_Hd0 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H435); [ zenon_intro zenon_H1aa | zenon_intro zenon_H436 ]. % 65.82/66.02 apply (zenon_L154_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H436); [ zenon_intro zenon_H94 | zenon_intro zenon_H437 ]. % 65.82/66.02 apply (zenon_L656_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H437); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1d9 ]. % 65.82/66.02 apply (zenon_L51_); trivial. % 65.82/66.02 apply (zenon_L199_); trivial. % 65.82/66.02 (* end of lemma zenon_L663_ *) % 65.82/66.02 assert (zenon_L664_ : ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H428 zenon_He1 zenon_Hde zenon_H119. % 65.82/66.02 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1da | zenon_intro zenon_Hbc ]. % 65.82/66.02 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H119. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H1da. % 65.82/66.02 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.82/66.02 cut (((op2 (e23) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1e3]. % 65.82/66.02 congruence. % 65.82/66.02 cut (((op2 (e23) (op2 (e23) (e21))) = (e23)) = ((op2 (e23) (e23)) = (op2 (e20) (e23)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H1e3. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H428. % 65.82/66.02 cut (((e23) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 65.82/66.02 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H453]. % 65.82/66.02 congruence. % 65.82/66.02 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1da | zenon_intro zenon_Hbc ]. % 65.82/66.02 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e23)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H453. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H1da. % 65.82/66.02 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.82/66.02 cut (((op2 (e23) (e23)) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H454]. % 65.82/66.02 congruence. % 65.82/66.02 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H42e]. % 65.82/66.02 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 65.82/66.02 congruence. % 65.82/66.02 apply zenon_H24. apply refl_equal. % 65.82/66.02 apply zenon_H42e. apply sym_equal. exact zenon_He1. % 65.82/66.02 apply zenon_Hbc. apply refl_equal. % 65.82/66.02 apply zenon_Hbc. apply refl_equal. % 65.82/66.02 apply zenon_H12a. apply sym_equal. exact zenon_Hde. % 65.82/66.02 apply zenon_Hbc. apply refl_equal. % 65.82/66.02 apply zenon_Hbc. apply refl_equal. % 65.82/66.02 (* end of lemma zenon_L664_ *) % 65.82/66.02 assert (zenon_L665_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> False). % 65.82/66.02 do 0 intro. intros zenon_H431 zenon_H429 zenon_H94 zenon_H428 zenon_Hde zenon_H1e2 zenon_H119 zenon_H26 zenon_H122. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H431); [ zenon_intro zenon_Hda | zenon_intro zenon_H432 ]. % 65.82/66.02 apply (zenon_L606_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_He1 | zenon_intro zenon_H433 ]. % 65.82/66.02 apply (zenon_L664_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H433); [ zenon_intro zenon_He5 | zenon_intro zenon_He9 ]. % 65.82/66.02 apply (zenon_L206_); trivial. % 65.82/66.02 apply (zenon_L611_); trivial. % 65.82/66.02 (* end of lemma zenon_L665_ *) % 65.82/66.02 assert (zenon_L666_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H435 zenon_H96 zenon_H122 zenon_H119 zenon_H1e2 zenon_Hde zenon_H428 zenon_H429 zenon_H431 zenon_Hd0 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H435); [ zenon_intro zenon_H1aa | zenon_intro zenon_H436 ]. % 65.82/66.02 apply (zenon_L154_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H436); [ zenon_intro zenon_H94 | zenon_intro zenon_H437 ]. % 65.82/66.02 apply (zenon_L665_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H437); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1d9 ]. % 65.82/66.02 apply (zenon_L51_); trivial. % 65.82/66.02 apply (zenon_L199_); trivial. % 65.82/66.02 (* end of lemma zenon_L666_ *) % 65.82/66.02 assert (zenon_L667_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> False). % 65.82/66.02 do 0 intro. intros zenon_H44d zenon_Hba zenon_H19 zenon_Hd0 zenon_H431 zenon_H429 zenon_H428 zenon_H96 zenon_H435 zenon_H109 zenon_H17a zenon_He5 zenon_H1e2 zenon_H119 zenon_H26 zenon_H122. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H44e ]. % 65.82/66.02 apply (zenon_L666_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H44e); [ zenon_intro zenon_He2 | zenon_intro zenon_H44f ]. % 65.82/66.02 apply (zenon_L659_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H44f); [ zenon_intro zenon_He6 | zenon_intro zenon_He9 ]. % 65.82/66.02 apply (zenon_L209_); trivial. % 65.82/66.02 apply (zenon_L611_); trivial. % 65.82/66.02 (* end of lemma zenon_L667_ *) % 65.82/66.02 assert (zenon_L668_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H1dd zenon_H435 zenon_H96 zenon_H428 zenon_H429 zenon_H431 zenon_Hd0 zenon_H109 zenon_H1e2 zenon_He5 zenon_H17a zenon_H119 zenon_H44d zenon_H51 zenon_H1a6 zenon_H28 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H122 | zenon_intro zenon_H1de ]. % 65.82/66.02 apply (zenon_L667_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H156 | zenon_intro zenon_H1df ]. % 65.82/66.02 apply (zenon_L660_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1d9 ]. % 65.82/66.02 apply (zenon_L149_); trivial. % 65.82/66.02 apply (zenon_L199_); trivial. % 65.82/66.02 (* end of lemma zenon_L668_ *) % 65.82/66.02 assert (zenon_L669_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H450 zenon_H135 zenon_Ha0 zenon_H438 zenon_H94 zenon_H1dd zenon_H435 zenon_H96 zenon_H428 zenon_H429 zenon_H431 zenon_Hd0 zenon_H109 zenon_H1e2 zenon_H17a zenon_H119 zenon_H44d zenon_H51 zenon_H1a6 zenon_H28 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H450); [ zenon_intro zenon_H448 | zenon_intro zenon_H451 ]. % 65.82/66.02 apply (zenon_L663_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H451); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H452 ]. % 65.82/66.02 apply (zenon_L658_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H452); [ zenon_intro zenon_H1d2 | zenon_intro zenon_He5 ]. % 65.82/66.02 apply (zenon_L623_); trivial. % 65.82/66.02 apply (zenon_L668_); trivial. % 65.82/66.02 (* end of lemma zenon_L669_ *) % 65.82/66.02 assert (zenon_L670_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_Hb3 zenon_H9c zenon_H56 zenon_H8a zenon_H6e zenon_H44 zenon_H29 zenon_H4a zenon_H450 zenon_H135 zenon_Ha0 zenon_H438 zenon_H1dd zenon_H435 zenon_H96 zenon_H428 zenon_H429 zenon_H431 zenon_Hd0 zenon_H109 zenon_H1e2 zenon_H17a zenon_H119 zenon_H44d zenon_H1a6 zenon_H28 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_H32. % 65.82/66.02 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.02 apply (zenon_L19_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.02 exact (zenon_H9d zenon_Ha3). % 65.82/66.02 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.02 apply (zenon_L33_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.82/66.02 apply (zenon_L5_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.82/66.02 apply (zenon_L12_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.82/66.02 apply (zenon_L13_); trivial. % 65.82/66.02 apply (zenon_L669_); trivial. % 65.82/66.02 (* end of lemma zenon_L670_ *) % 65.82/66.02 assert (zenon_L671_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_Hc3 zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H6e zenon_H29 zenon_H44 zenon_H450 zenon_H135 zenon_Ha0 zenon_H438 zenon_H1dd zenon_H435 zenon_H96 zenon_H428 zenon_H429 zenon_H431 zenon_Hd0 zenon_H109 zenon_H1e2 zenon_H17a zenon_H119 zenon_H44d zenon_H1a6 zenon_H28 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.82/66.02 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.02 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.82/66.02 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.02 apply (zenon_L19_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.02 apply (zenon_L63_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.02 apply (zenon_L33_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.82/66.02 apply (zenon_L5_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.82/66.02 apply (zenon_L12_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.82/66.02 exact (zenon_H4f zenon_H4b). % 65.82/66.02 apply (zenon_L669_); trivial. % 65.82/66.02 (* end of lemma zenon_L671_ *) % 65.82/66.02 assert (zenon_L672_ : (((op2 (e20) (op2 (e20) (e22))) = (e20))\/(((op2 (e21) (op2 (e21) (e22))) = (e21))\/(((op2 (e22) (op2 (e22) (e22))) = (e22))\/((op2 (e23) (op2 (e23) (e22))) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (op2 (e20) (e23))) = (e20))\/(((op2 (e21) (op2 (e21) (e23))) = (e21))\/(((op2 (e22) (op2 (e22) (e23))) = (e22))\/((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H455 zenon_H118 zenon_H17e zenon_H171 zenon_H1c9 zenon_H181 zenon_H445 zenon_H1b8 zenon_H189 zenon_H12b zenon_H136 zenon_H43a zenon_H19e zenon_H1a9 zenon_H19a zenon_H76 zenon_H43e zenon_H3e zenon_H442 zenon_H123 zenon_H161 zenon_H176 zenon_H1d6 zenon_H150 zenon_H164 zenon_H1c0 zenon_H194 zenon_H19 zenon_H96 zenon_H182 zenon_H14c zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_Haa zenon_H6e zenon_H28 zenon_H44 zenon_H29 zenon_H4a zenon_H1af zenon_H33 zenon_H435 zenon_H429 zenon_H428 zenon_Hd0 zenon_Hba zenon_H450 zenon_H135 zenon_Ha0 zenon_H438 zenon_H1dd zenon_H431 zenon_H109 zenon_H17a zenon_H119 zenon_H44d zenon_H197 zenon_H1a1 zenon_H142 zenon_H13c zenon_H16b zenon_H8f zenon_H71 zenon_Hf0 zenon_H193 zenon_H26. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H455); [ zenon_intro zenon_H191 | zenon_intro zenon_H456 ]. % 65.82/66.02 apply (zenon_L644_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H456); [ zenon_intro zenon_H1bc | zenon_intro zenon_H457 ]. % 65.82/66.02 apply (zenon_L648_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H457); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1e2 ]. % 65.82/66.02 apply (zenon_L655_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.82/66.02 apply (zenon_L633_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.02 apply (zenon_L1_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.02 apply (zenon_L2_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.02 apply (zenon_L6_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.02 apply (zenon_L8_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.02 apply (zenon_L635_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.02 apply (zenon_L27_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.02 apply (zenon_L624_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.02 apply (zenon_L47_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.02 apply (zenon_L662_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.02 apply (zenon_L49_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.02 apply (zenon_L50_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.02 apply (zenon_L52_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.02 apply (zenon_L638_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.02 apply (zenon_L56_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.02 apply (zenon_L640_); trivial. % 65.82/66.02 apply (zenon_L58_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.02 apply (zenon_L1_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.02 apply (zenon_L2_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.02 apply (zenon_L6_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.02 apply (zenon_L8_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.02 apply (zenon_L643_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.02 apply (zenon_L27_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.02 apply (zenon_L670_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.02 apply (zenon_L47_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.02 apply (zenon_L671_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.02 apply (zenon_L49_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.02 apply (zenon_L50_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.02 apply (zenon_L52_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.02 apply (zenon_L638_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.02 apply (zenon_L56_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.02 apply (zenon_L162_); trivial. % 65.82/66.02 apply (zenon_L58_); trivial. % 65.82/66.02 apply (zenon_L163_); trivial. % 65.82/66.02 (* end of lemma zenon_L672_ *) % 65.82/66.02 assert (zenon_L673_ : (~((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e20))))) -> ((op2 (e21) (e20)) = (e21)) -> False). % 65.82/66.02 do 0 intro. intros zenon_H458 zenon_H7e. % 65.82/66.02 cut (((e21) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H105]. % 65.82/66.02 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 65.82/66.02 congruence. % 65.82/66.02 apply zenon_Hff. apply refl_equal. % 65.82/66.02 apply zenon_H105. apply sym_equal. exact zenon_H7e. % 65.82/66.02 (* end of lemma zenon_L673_ *) % 65.82/66.02 assert (zenon_L674_ : ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H459 zenon_H7e zenon_H103. % 65.82/66.02 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H86 | zenon_intro zenon_H87 ]. % 65.82/66.02 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e21) (e20)) = (op2 (e21) (e21)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H103. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H86. % 65.82/66.02 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 65.82/66.02 cut (((op2 (e21) (e21)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H104]. % 65.82/66.02 congruence. % 65.82/66.02 cut (((op2 (e21) (op2 (e21) (e20))) = (e21)) = ((op2 (e21) (e21)) = (op2 (e21) (e20)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H104. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H459. % 65.82/66.02 cut (((e21) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H105]. % 65.82/66.02 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H45a]. % 65.82/66.02 congruence. % 65.82/66.02 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H86 | zenon_intro zenon_H87 ]. % 65.82/66.02 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e21)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H45a. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H86. % 65.82/66.02 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 65.82/66.02 cut (((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H458]. % 65.82/66.02 congruence. % 65.82/66.02 apply (zenon_L673_); trivial. % 65.82/66.02 apply zenon_H87. apply refl_equal. % 65.82/66.02 apply zenon_H87. apply refl_equal. % 65.82/66.02 apply zenon_H105. apply sym_equal. exact zenon_H7e. % 65.82/66.02 apply zenon_H87. apply refl_equal. % 65.82/66.02 apply zenon_H87. apply refl_equal. % 65.82/66.02 (* end of lemma zenon_L674_ *) % 65.82/66.02 assert (zenon_L675_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H7c zenon_H459 zenon_H103. % 65.82/66.02 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7e. zenon_intro zenon_H7d. % 65.82/66.02 apply (zenon_L674_); trivial. % 65.82/66.02 (* end of lemma zenon_L675_ *) % 65.82/66.02 assert (zenon_L676_ : (~((op2 (e21) (e20)) = (op2 (e21) (op2 (e21) (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> False). % 65.82/66.02 do 0 intro. intros zenon_H45b zenon_H1d. % 65.82/66.02 cut (((e20) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 65.82/66.02 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 65.82/66.02 congruence. % 65.82/66.02 apply zenon_Hff. apply refl_equal. % 65.82/66.02 apply zenon_H40. apply sym_equal. exact zenon_H1d. % 65.82/66.02 (* end of lemma zenon_L676_ *) % 65.82/66.02 assert (zenon_L677_ : (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e21) (e21)) = (e21)) -> False). % 65.82/66.02 do 0 intro. intros zenon_H103 zenon_H459 zenon_H1d zenon_H82. % 65.82/66.02 cut (((op2 (e21) (op2 (e21) (e20))) = (e21)) = ((op2 (e21) (e20)) = (op2 (e21) (e21)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H103. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H459. % 65.82/66.02 cut (((e21) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 65.82/66.02 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H45c]. % 65.82/66.02 congruence. % 65.82/66.02 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H116 | zenon_intro zenon_H117 ]. % 65.82/66.02 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e20)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H45c. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H116. % 65.82/66.02 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 65.82/66.02 cut (((op2 (e21) (e20)) = (op2 (e21) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H45b]. % 65.82/66.02 congruence. % 65.82/66.02 apply (zenon_L676_); trivial. % 65.82/66.02 apply zenon_H117. apply refl_equal. % 65.82/66.02 apply zenon_H117. apply refl_equal. % 65.82/66.02 apply zenon_H101. apply sym_equal. exact zenon_H82. % 65.82/66.02 (* end of lemma zenon_L677_ *) % 65.82/66.02 assert (zenon_L678_ : (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e21) (e22)) = (e21)) -> False). % 65.82/66.02 do 0 intro. intros zenon_H113 zenon_H459 zenon_H1d zenon_Hb5. % 65.82/66.02 cut (((op2 (e21) (op2 (e21) (e20))) = (e21)) = ((op2 (e21) (e20)) = (op2 (e21) (e22)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H113. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H459. % 65.82/66.02 cut (((e21) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114]. % 65.82/66.02 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H45c]. % 65.82/66.02 congruence. % 65.82/66.02 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H116 | zenon_intro zenon_H117 ]. % 65.82/66.02 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e20)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H45c. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H116. % 65.82/66.02 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 65.82/66.02 cut (((op2 (e21) (e20)) = (op2 (e21) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H45b]. % 65.82/66.02 congruence. % 65.82/66.02 apply (zenon_L676_); trivial. % 65.82/66.02 apply zenon_H117. apply refl_equal. % 65.82/66.02 apply zenon_H117. apply refl_equal. % 65.82/66.02 apply zenon_H114. apply sym_equal. exact zenon_Hb5. % 65.82/66.02 (* end of lemma zenon_L678_ *) % 65.82/66.02 assert (zenon_L679_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H181 zenon_H103 zenon_H1d zenon_H459 zenon_H113 zenon_H109 zenon_H19. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.82/66.02 apply (zenon_L674_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.82/66.02 apply (zenon_L677_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.82/66.02 apply (zenon_L678_); trivial. % 65.82/66.02 apply (zenon_L100_); trivial. % 65.82/66.02 (* end of lemma zenon_L679_ *) % 65.82/66.02 assert (zenon_L680_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e20) (op2 (e20) (e22))) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_Hb0 zenon_H109 zenon_H113 zenon_H459 zenon_H103 zenon_H181 zenon_H3f zenon_H33 zenon_H56 zenon_H19 zenon_H85 zenon_H6b zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_Hc6 zenon_H191 zenon_H131 zenon_Haa zenon_H29 zenon_H26. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H1d | zenon_intro zenon_Hb1 ]. % 65.82/66.02 apply (zenon_L679_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb2 ]. % 65.82/66.02 apply (zenon_L43_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hab ]. % 65.82/66.02 apply (zenon_L125_); trivial. % 65.82/66.02 apply (zenon_L39_); trivial. % 65.82/66.02 (* end of lemma zenon_L680_ *) % 65.82/66.02 assert (zenon_L681_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> ((op2 (e20) (op2 (e20) (e22))) = (e20)) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H194 zenon_Hb8 zenon_H191 zenon_Hb0 zenon_H109 zenon_H113 zenon_H459 zenon_H103 zenon_H181 zenon_H3f zenon_H33 zenon_H56 zenon_H19 zenon_H85 zenon_H6b zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_H127 zenon_H131 zenon_Haa zenon_H29 zenon_H26. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H145 | zenon_intro zenon_H195 ]. % 65.82/66.02 exact (zenon_Hb8 zenon_H145). % 65.82/66.02 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H63 | zenon_intro zenon_H196 ]. % 65.82/66.02 apply (zenon_L19_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H122 ]. % 65.82/66.02 apply (zenon_L680_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H1d | zenon_intro zenon_Hb1 ]. % 65.82/66.02 apply (zenon_L679_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb2 ]. % 65.82/66.02 apply (zenon_L43_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hab ]. % 65.82/66.02 apply (zenon_L82_); trivial. % 65.82/66.02 apply (zenon_L39_); trivial. % 65.82/66.02 (* end of lemma zenon_L681_ *) % 65.82/66.02 assert (zenon_L682_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((op2 (e20) (op2 (e20) (e22))) = (e20)) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_Hb3 zenon_H194 zenon_H191 zenon_Hb0 zenon_H109 zenon_H113 zenon_H459 zenon_H103 zenon_H181 zenon_H3f zenon_H33 zenon_H56 zenon_H19 zenon_H85 zenon_H6b zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_H127 zenon_H131 zenon_Haa zenon_H29 zenon_H26. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_H32. % 65.82/66.02 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.02 apply (zenon_L681_); trivial. % 65.82/66.02 (* end of lemma zenon_L682_ *) % 65.82/66.02 assert (zenon_L683_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e20) (op2 (e20) (e22))) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_Hc3 zenon_Hb0 zenon_H19 zenon_H109 zenon_H113 zenon_H459 zenon_H103 zenon_H181 zenon_H191 zenon_H131 zenon_Haa zenon_H29 zenon_H26. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.82/66.02 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.02 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H1d | zenon_intro zenon_Hb1 ]. % 65.82/66.02 apply (zenon_L679_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb2 ]. % 65.82/66.02 exact (zenon_H72 zenon_H75). % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hab ]. % 65.82/66.02 apply (zenon_L125_); trivial. % 65.82/66.02 apply (zenon_L39_); trivial. % 65.82/66.02 (* end of lemma zenon_L683_ *) % 65.82/66.02 assert (zenon_L684_ : (((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e23))) -> False). % 65.82/66.02 do 0 intro. intros zenon_Hdc zenon_H79 zenon_H19 zenon_H109 zenon_H113 zenon_H459 zenon_H103 zenon_H181 zenon_H26 zenon_H29 zenon_H28 zenon_Hd9. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.82/66.02 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H14 | zenon_intro zenon_H7a ]. % 65.82/66.02 exact (zenon_H17 zenon_H14). % 65.82/66.02 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 65.82/66.02 apply (zenon_L679_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H2a | zenon_intro zenon_H77 ]. % 65.82/66.02 apply (zenon_L5_); trivial. % 65.82/66.02 apply (zenon_L53_); trivial. % 65.82/66.02 (* end of lemma zenon_L684_ *) % 65.82/66.02 assert (zenon_L685_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((op2 (e20) (op2 (e20) (e22))) = (e20)) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_He3 zenon_H194 zenon_H191 zenon_Hb0 zenon_H109 zenon_H113 zenon_H459 zenon_H103 zenon_H181 zenon_H3f zenon_H33 zenon_H56 zenon_H19 zenon_H85 zenon_H6b zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_H127 zenon_H131 zenon_Haa zenon_H29 zenon_H26. % 65.82/66.02 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.82/66.02 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.82/66.02 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.02 apply (zenon_L681_); trivial. % 65.82/66.02 (* end of lemma zenon_L685_ *) % 65.82/66.02 assert (zenon_L686_ : (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (e22)) = (e21)) -> False). % 65.82/66.02 do 0 intro. intros zenon_H118 zenon_H459 zenon_H7e zenon_Hb5. % 65.82/66.02 cut (((op2 (e21) (op2 (e21) (e20))) = (e21)) = ((op2 (e21) (e21)) = (op2 (e21) (e22)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H118. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H459. % 65.82/66.02 cut (((e21) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114]. % 65.82/66.02 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H45a]. % 65.82/66.02 congruence. % 65.82/66.02 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H86 | zenon_intro zenon_H87 ]. % 65.82/66.02 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e21)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H45a. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H86. % 65.82/66.02 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 65.82/66.02 cut (((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H458]. % 65.82/66.02 congruence. % 65.82/66.02 apply (zenon_L673_); trivial. % 65.82/66.02 apply zenon_H87. apply refl_equal. % 65.82/66.02 apply zenon_H87. apply refl_equal. % 65.82/66.02 apply zenon_H114. apply sym_equal. exact zenon_Hb5. % 65.82/66.02 (* end of lemma zenon_L686_ *) % 65.82/66.02 assert (zenon_L687_ : (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H109 zenon_H459 zenon_H45d zenon_H19. % 65.82/66.02 cut (((op2 (e21) (op2 (e21) (e20))) = (e21)) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H109. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H459. % 65.82/66.02 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 65.82/66.02 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H45e]. % 65.82/66.02 congruence. % 65.82/66.02 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 65.82/66.02 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e23)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H45e. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_Had. % 65.82/66.02 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 65.82/66.02 cut (((op2 (e21) (e23)) = (op2 (e21) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H45f]. % 65.82/66.02 congruence. % 65.82/66.02 cut (((e23) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H460]. % 65.82/66.02 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 65.82/66.02 congruence. % 65.82/66.02 apply zenon_Hff. apply refl_equal. % 65.82/66.02 apply zenon_H460. apply sym_equal. exact zenon_H45d. % 65.82/66.02 apply zenon_Hae. apply refl_equal. % 65.82/66.02 apply zenon_Hae. apply refl_equal. % 65.82/66.02 exact (zenon_H10b zenon_H19). % 65.82/66.02 (* end of lemma zenon_L687_ *) % 65.82/66.02 assert (zenon_L688_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e23) (e21)) = (e22)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H461 zenon_H113 zenon_Hb5 zenon_H118 zenon_Hc5 zenon_H94 zenon_H26 zenon_H14c zenon_H109 zenon_H459 zenon_H19. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H1d | zenon_intro zenon_H462 ]. % 65.82/66.02 apply (zenon_L678_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H7e | zenon_intro zenon_H463 ]. % 65.82/66.02 apply (zenon_L686_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H463); [ zenon_intro zenon_H14d | zenon_intro zenon_H45d ]. % 65.82/66.02 apply (zenon_L98_); trivial. % 65.82/66.02 apply (zenon_L687_); trivial. % 65.82/66.02 (* end of lemma zenon_L688_ *) % 65.82/66.02 assert (zenon_L689_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H9c zenon_H56 zenon_H9d zenon_H164 zenon_H459 zenon_H14c zenon_H118 zenon_Hb5 zenon_H113 zenon_H461 zenon_H8a zenon_Hce zenon_H161 zenon_H29 zenon_Haa zenon_H26 zenon_H109 zenon_H15d zenon_H19. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.02 apply (zenon_L19_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.02 exact (zenon_H9d zenon_Ha3). % 65.82/66.02 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.02 apply (zenon_L33_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H165 ]. % 65.82/66.02 apply (zenon_L688_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H8b | zenon_intro zenon_H166 ]. % 65.82/66.02 apply (zenon_L33_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hd8 ]. % 65.82/66.02 exact (zenon_Hce zenon_Hcc). % 65.82/66.02 apply (zenon_L104_); trivial. % 65.82/66.02 (* end of lemma zenon_L689_ *) % 65.82/66.02 assert (zenon_L690_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.02 do 0 intro. intros zenon_Hb3 zenon_H9c zenon_H56 zenon_H164 zenon_H459 zenon_H14c zenon_H118 zenon_H113 zenon_H461 zenon_H8a zenon_H161 zenon_H29 zenon_Haa zenon_H26 zenon_H109 zenon_H15d zenon_H19. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_H32. % 65.82/66.02 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 65.82/66.02 apply (zenon_L689_); trivial. % 65.82/66.02 (* end of lemma zenon_L690_ *) % 65.82/66.02 assert (zenon_L691_ : (~((op2 (e21) (e22)) = (op2 (e21) (op2 (e21) (e20))))) -> ((op2 (e21) (e20)) = (e22)) -> False). % 65.82/66.02 do 0 intro. intros zenon_H464 zenon_H14d. % 65.82/66.02 cut (((e22) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 65.82/66.02 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 65.82/66.02 congruence. % 65.82/66.02 apply zenon_Hff. apply refl_equal. % 65.82/66.02 apply zenon_H14e. apply sym_equal. exact zenon_H14d. % 65.82/66.02 (* end of lemma zenon_L691_ *) % 65.82/66.02 assert (zenon_L692_ : ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((op2 (e21) (e20)) = (e22)) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H459 zenon_H14d zenon_H82 zenon_H118. % 65.82/66.02 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 65.82/66.02 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (e21)) = (op2 (e21) (e22)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H118. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_Ha7. % 65.82/66.02 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 65.82/66.02 cut (((op2 (e21) (e22)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H465]. % 65.82/66.02 congruence. % 65.82/66.02 cut (((op2 (e21) (op2 (e21) (e20))) = (e21)) = ((op2 (e21) (e22)) = (op2 (e21) (e21)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H465. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H459. % 65.82/66.02 cut (((e21) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 65.82/66.02 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H466]. % 65.82/66.02 congruence. % 65.82/66.02 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 65.82/66.02 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e22)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H466. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_Ha7. % 65.82/66.02 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 65.82/66.02 cut (((op2 (e21) (e22)) = (op2 (e21) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H464]. % 65.82/66.02 congruence. % 65.82/66.02 apply (zenon_L691_); trivial. % 65.82/66.02 apply zenon_Ha8. apply refl_equal. % 65.82/66.02 apply zenon_Ha8. apply refl_equal. % 65.82/66.02 apply zenon_H101. apply sym_equal. exact zenon_H82. % 65.82/66.02 apply zenon_Ha8. apply refl_equal. % 65.82/66.02 apply zenon_Ha8. apply refl_equal. % 65.82/66.02 (* end of lemma zenon_L692_ *) % 65.82/66.02 assert (zenon_L693_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e22)) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H181 zenon_H103 zenon_H14d zenon_H15d zenon_H26 zenon_Haa zenon_H29 zenon_H161 zenon_Hce zenon_H8a zenon_H461 zenon_H113 zenon_H118 zenon_H14c zenon_H459 zenon_H164 zenon_H9d zenon_H56 zenon_H9c zenon_H109 zenon_H19. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.82/66.02 apply (zenon_L674_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.82/66.02 apply (zenon_L692_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.82/66.02 apply (zenon_L689_); trivial. % 65.82/66.02 apply (zenon_L100_); trivial. % 65.82/66.02 (* end of lemma zenon_L693_ *) % 65.82/66.02 assert (zenon_L694_ : (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e22) (e21)) = (e21)) -> False). % 65.82/66.02 do 0 intro. intros zenon_H171 zenon_H459 zenon_H7e zenon_Hb6. % 65.82/66.02 cut (((op2 (e21) (op2 (e21) (e20))) = (e21)) = ((op2 (e21) (e21)) = (op2 (e22) (e21)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H171. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H459. % 65.82/66.02 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 65.82/66.02 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H45a]. % 65.82/66.02 congruence. % 65.82/66.02 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H86 | zenon_intro zenon_H87 ]. % 65.82/66.02 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e21)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H45a. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H86. % 65.82/66.02 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 65.82/66.02 cut (((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H458]. % 65.82/66.02 congruence. % 65.82/66.02 apply (zenon_L673_); trivial. % 65.82/66.02 apply zenon_H87. apply refl_equal. % 65.82/66.02 apply zenon_H87. apply refl_equal. % 65.82/66.02 apply zenon_H173. apply sym_equal. exact zenon_Hb6. % 65.82/66.02 (* end of lemma zenon_L694_ *) % 65.82/66.02 assert (zenon_L695_ : ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((op2 (e21) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H459 zenon_H14d zenon_H187 zenon_H131. % 65.82/66.02 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 65.82/66.02 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H131. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_Ha7. % 65.82/66.02 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 65.82/66.02 cut (((op2 (e21) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H167]. % 65.82/66.02 congruence. % 65.82/66.02 cut (((op2 (e21) (op2 (e21) (e20))) = (e21)) = ((op2 (e21) (e22)) = (op2 (e20) (e22)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H167. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H459. % 65.82/66.02 cut (((e21) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H188]. % 65.82/66.02 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H466]. % 65.82/66.02 congruence. % 65.82/66.02 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 65.82/66.02 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e22)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H466. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_Ha7. % 65.82/66.02 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 65.82/66.02 cut (((op2 (e21) (e22)) = (op2 (e21) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H464]. % 65.82/66.02 congruence. % 65.82/66.02 apply (zenon_L691_); trivial. % 65.82/66.02 apply zenon_Ha8. apply refl_equal. % 65.82/66.02 apply zenon_Ha8. apply refl_equal. % 65.82/66.02 apply zenon_H188. apply sym_equal. exact zenon_H187. % 65.82/66.02 apply zenon_Ha8. apply refl_equal. % 65.82/66.02 apply zenon_Ha8. apply refl_equal. % 65.82/66.02 (* end of lemma zenon_L695_ *) % 65.82/66.02 assert (zenon_L696_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H461 zenon_H82 zenon_H103 zenon_Hb6 zenon_H171 zenon_H131 zenon_H187 zenon_H109 zenon_H459 zenon_H19. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H1d | zenon_intro zenon_H462 ]. % 65.82/66.02 apply (zenon_L677_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H7e | zenon_intro zenon_H463 ]. % 65.82/66.02 apply (zenon_L694_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H463); [ zenon_intro zenon_H14d | zenon_intro zenon_H45d ]. % 65.82/66.02 apply (zenon_L695_); trivial. % 65.82/66.02 apply (zenon_L687_); trivial. % 65.82/66.02 (* end of lemma zenon_L696_ *) % 65.82/66.02 assert (zenon_L697_ : (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((op2 (e21) (e20)) = (e22)) -> ((op2 (e22) (e22)) = (e21)) -> False). % 65.82/66.02 do 0 intro. intros zenon_H176 zenon_H459 zenon_H14d zenon_H177. % 65.82/66.02 cut (((op2 (e21) (op2 (e21) (e20))) = (e21)) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H176. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_H459. % 65.82/66.02 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H178]. % 65.82/66.02 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H466]. % 65.82/66.02 congruence. % 65.82/66.02 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 65.82/66.02 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e22)))). % 65.82/66.02 intro zenon_D_pnotp. % 65.82/66.02 apply zenon_H466. % 65.82/66.02 rewrite <- zenon_D_pnotp. % 65.82/66.02 exact zenon_Ha7. % 65.82/66.02 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 65.82/66.02 cut (((op2 (e21) (e22)) = (op2 (e21) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H464]. % 65.82/66.02 congruence. % 65.82/66.02 apply (zenon_L691_); trivial. % 65.82/66.02 apply zenon_Ha8. apply refl_equal. % 65.82/66.02 apply zenon_Ha8. apply refl_equal. % 65.82/66.02 apply zenon_H178. apply sym_equal. exact zenon_H177. % 65.82/66.02 (* end of lemma zenon_L697_ *) % 65.82/66.02 assert (zenon_L698_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H461 zenon_H82 zenon_H103 zenon_H177 zenon_H176 zenon_H109 zenon_H459 zenon_H19. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H1d | zenon_intro zenon_H462 ]. % 65.82/66.02 apply (zenon_L677_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H7e | zenon_intro zenon_H463 ]. % 65.82/66.02 apply (zenon_L674_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H463); [ zenon_intro zenon_H14d | zenon_intro zenon_H45d ]. % 65.82/66.02 apply (zenon_L697_); trivial. % 65.82/66.02 apply (zenon_L687_); trivial. % 65.82/66.02 (* end of lemma zenon_L698_ *) % 65.82/66.02 assert (zenon_L699_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H19e zenon_H131 zenon_H171 zenon_Hb6 zenon_H14c zenon_H26 zenon_H94 zenon_Hc5 zenon_H118 zenon_H113 zenon_H459 zenon_H109 zenon_H176 zenon_H103 zenon_H82 zenon_H461 zenon_H19a zenon_H19. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H187 | zenon_intro zenon_H19f ]. % 65.82/66.02 apply (zenon_L696_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a0 ]. % 65.82/66.02 apply (zenon_L688_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H177 | zenon_intro zenon_H19b ]. % 65.82/66.02 apply (zenon_L698_); trivial. % 65.82/66.02 apply (zenon_L133_); trivial. % 65.82/66.02 (* end of lemma zenon_L699_ *) % 65.82/66.02 assert (zenon_L700_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H181 zenon_H103 zenon_H5d zenon_H85 zenon_H15d zenon_H26 zenon_Haa zenon_H29 zenon_H161 zenon_Hce zenon_H8a zenon_H461 zenon_H113 zenon_H118 zenon_H14c zenon_H459 zenon_H164 zenon_H9d zenon_H56 zenon_H9c zenon_H109 zenon_H19. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.82/66.02 apply (zenon_L674_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.82/66.02 apply (zenon_L117_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.82/66.02 apply (zenon_L689_); trivial. % 65.82/66.02 apply (zenon_L100_); trivial. % 65.82/66.02 (* end of lemma zenon_L700_ *) % 65.82/66.02 assert (zenon_L701_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.02 do 0 intro. intros zenon_He3 zenon_H189 zenon_H96 zenon_H17a zenon_H176 zenon_H19e zenon_H171 zenon_H19a zenon_H16b zenon_H17e zenon_H1af zenon_H9c zenon_H56 zenon_H164 zenon_H459 zenon_H14c zenon_H118 zenon_H113 zenon_H461 zenon_H8a zenon_H85 zenon_H103 zenon_H181 zenon_H15d zenon_H109 zenon_H131 zenon_Haa zenon_H29 zenon_H26 zenon_H161 zenon_H119 zenon_H19. % 65.82/66.02 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.82/66.02 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.82/66.02 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H145 | zenon_intro zenon_H1b0 ]. % 65.82/66.02 exact (zenon_Hb8 zenon_H145). % 65.82/66.02 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 65.82/66.02 apply (zenon_L693_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H1aa ]. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.82/66.02 apply (zenon_L674_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.02 apply (zenon_L19_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.02 exact (zenon_H9d zenon_Ha3). % 65.82/66.02 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.02 apply (zenon_L33_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H16a | zenon_intro zenon_H17f ]. % 65.82/66.02 apply (zenon_L108_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H180 ]. % 65.82/66.02 apply (zenon_L699_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H177 | zenon_intro zenon_H17b ]. % 65.82/66.02 apply (zenon_L698_); trivial. % 65.82/66.02 apply (zenon_L113_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.82/66.02 apply (zenon_L689_); trivial. % 65.82/66.02 apply (zenon_L100_); trivial. % 65.82/66.02 apply (zenon_L154_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.82/66.02 apply (zenon_L700_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.82/66.02 apply (zenon_L120_); trivial. % 65.82/66.02 apply (zenon_L72_); trivial. % 65.82/66.02 (* end of lemma zenon_L701_ *) % 65.82/66.02 assert (zenon_L702_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H461 zenon_Hb5 zenon_H113 zenon_H103 zenon_H14c zenon_H51 zenon_H1a6 zenon_H109 zenon_H459 zenon_H19. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H1d | zenon_intro zenon_H462 ]. % 65.82/66.02 apply (zenon_L678_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H7e | zenon_intro zenon_H463 ]. % 65.82/66.02 apply (zenon_L674_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H463); [ zenon_intro zenon_H14d | zenon_intro zenon_H45d ]. % 65.82/66.02 apply (zenon_L139_); trivial. % 65.82/66.02 apply (zenon_L687_); trivial. % 65.82/66.02 (* end of lemma zenon_L702_ *) % 65.82/66.02 assert (zenon_L703_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H6e zenon_H28 zenon_H44 zenon_H26 zenon_H29 zenon_H4a zenon_H461 zenon_Hb5 zenon_H113 zenon_H103 zenon_H14c zenon_H1a6 zenon_H109 zenon_H459 zenon_H19. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.82/66.02 apply (zenon_L5_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.82/66.02 apply (zenon_L12_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.82/66.02 apply (zenon_L13_); trivial. % 65.82/66.02 apply (zenon_L702_); trivial. % 65.82/66.02 (* end of lemma zenon_L703_ *) % 65.82/66.02 assert (zenon_L704_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.02 do 0 intro. intros zenon_Hb3 zenon_H6e zenon_H28 zenon_H44 zenon_H26 zenon_H29 zenon_H4a zenon_H461 zenon_H113 zenon_H103 zenon_H14c zenon_H1a6 zenon_H109 zenon_H459 zenon_H19. % 65.82/66.02 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 65.82/66.02 apply (zenon_L703_); trivial. % 65.82/66.02 (* end of lemma zenon_L704_ *) % 65.82/66.02 assert (zenon_L705_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (op2 (e20) (e22))) = (e20)) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> False). % 65.82/66.02 do 0 intro. intros zenon_Hf0 zenon_H461 zenon_Hba zenon_H191 zenon_Hb0 zenon_Hd0 zenon_Hd9 zenon_H181 zenon_H103 zenon_H459 zenon_H113 zenon_H109 zenon_H79 zenon_H33 zenon_H1a6 zenon_H1af zenon_H4a zenon_H29 zenon_H44 zenon_H28 zenon_H6e zenon_Haa zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H131 zenon_H14c zenon_H182 zenon_H96 zenon_H26 zenon_H19 zenon_H194. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.02 apply (zenon_L1_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.02 apply (zenon_L2_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.02 apply (zenon_L6_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.02 apply (zenon_L8_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.02 apply (zenon_L675_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.02 apply (zenon_L27_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.02 apply (zenon_L704_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.02 apply (zenon_L47_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.02 apply (zenon_L683_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.02 apply (zenon_L49_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.02 apply (zenon_L50_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.02 apply (zenon_L52_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.02 apply (zenon_L684_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.02 apply (zenon_L56_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.02 apply (zenon_L162_); trivial. % 65.82/66.02 apply (zenon_L58_); trivial. % 65.82/66.02 (* end of lemma zenon_L705_ *) % 65.82/66.02 assert (zenon_L706_ : (((op2 (e20) (op2 (e20) (e23))) = (e20))\/(((op2 (e21) (op2 (e21) (e23))) = (e21))\/(((op2 (e22) (op2 (e22) (e23))) = (e22))\/((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e20) (op2 (e20) (e22))) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.02 do 0 intro. intros zenon_H1b8 zenon_H3f zenon_H6b zenon_H189 zenon_H17a zenon_H176 zenon_H19e zenon_H171 zenon_H19a zenon_H16b zenon_H17e zenon_H164 zenon_H118 zenon_H85 zenon_H161 zenon_H119 zenon_H194 zenon_H19 zenon_H96 zenon_H182 zenon_H14c zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_Haa zenon_H6e zenon_H28 zenon_H44 zenon_H29 zenon_H4a zenon_H1af zenon_H33 zenon_H79 zenon_H109 zenon_H113 zenon_H459 zenon_H103 zenon_H181 zenon_Hd9 zenon_Hd0 zenon_Hb0 zenon_H191 zenon_Hba zenon_H461 zenon_Hf0 zenon_H193 zenon_H26. % 65.82/66.02 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.02 apply (zenon_L1_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.02 apply (zenon_L2_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.02 apply (zenon_L6_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.02 apply (zenon_L8_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.02 apply (zenon_L675_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.02 apply (zenon_L27_); trivial. % 65.82/66.02 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.02 apply (zenon_L682_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.03 apply (zenon_L47_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.03 apply (zenon_L683_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.03 apply (zenon_L49_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.03 apply (zenon_L50_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.03 apply (zenon_L52_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.03 apply (zenon_L684_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.03 apply (zenon_L56_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.03 apply (zenon_L685_); trivial. % 65.82/66.03 apply (zenon_L58_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.03 apply (zenon_L1_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.03 apply (zenon_L2_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.03 apply (zenon_L6_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.03 apply (zenon_L8_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.03 apply (zenon_L675_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.03 apply (zenon_L27_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.03 apply (zenon_L690_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.03 apply (zenon_L47_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.03 apply (zenon_L683_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.03 apply (zenon_L49_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.03 apply (zenon_L50_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.03 apply (zenon_L52_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.03 apply (zenon_L684_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.03 apply (zenon_L56_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.03 apply (zenon_L701_); trivial. % 65.82/66.03 apply (zenon_L58_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.82/66.03 apply (zenon_L705_); trivial. % 65.82/66.03 apply (zenon_L163_); trivial. % 65.82/66.03 (* end of lemma zenon_L706_ *) % 65.82/66.03 assert (zenon_L707_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e21)) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.03 do 0 intro. intros zenon_Hb0 zenon_H109 zenon_H113 zenon_H459 zenon_H103 zenon_H181 zenon_H3f zenon_H33 zenon_H56 zenon_H19 zenon_H85 zenon_H6b zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_H3e zenon_H13a zenon_H1bc zenon_Haa zenon_H29 zenon_H26. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H1d | zenon_intro zenon_Hb1 ]. % 65.82/66.03 apply (zenon_L679_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb2 ]. % 65.82/66.03 apply (zenon_L43_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hab ]. % 65.82/66.03 apply (zenon_L175_); trivial. % 65.82/66.03 apply (zenon_L39_); trivial. % 65.82/66.03 (* end of lemma zenon_L707_ *) % 65.82/66.03 assert (zenon_L708_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e22)) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.03 do 0 intro. intros zenon_H181 zenon_H103 zenon_H118 zenon_H14d zenon_H1d zenon_H459 zenon_H113 zenon_H109 zenon_H19. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.82/66.03 apply (zenon_L674_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.82/66.03 apply (zenon_L692_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.82/66.03 apply (zenon_L678_); trivial. % 65.82/66.03 apply (zenon_L100_); trivial. % 65.82/66.03 (* end of lemma zenon_L708_ *) % 65.82/66.03 assert (zenon_L709_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> False). % 65.82/66.03 do 0 intro. intros zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H12b zenon_H26 zenon_H29 zenon_H19 zenon_H119 zenon_H9f zenon_H131 zenon_H33 zenon_H127. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.82/66.03 apply (zenon_L5_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.82/66.03 apply (zenon_L12_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.82/66.03 apply (zenon_L13_); trivial. % 65.82/66.03 apply (zenon_L83_); trivial. % 65.82/66.03 (* end of lemma zenon_L709_ *) % 65.82/66.03 assert (zenon_L710_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.03 do 0 intro. intros zenon_H9c zenon_H56 zenon_H9d zenon_H8a zenon_H461 zenon_H113 zenon_Hb5 zenon_H118 zenon_Hc5 zenon_H26 zenon_H14c zenon_H109 zenon_H459 zenon_H19. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.03 apply (zenon_L19_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.03 exact (zenon_H9d zenon_Ha3). % 65.82/66.03 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.03 apply (zenon_L33_); trivial. % 65.82/66.03 apply (zenon_L688_); trivial. % 65.82/66.03 (* end of lemma zenon_L710_ *) % 65.82/66.03 assert (zenon_L711_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.03 do 0 intro. intros zenon_H181 zenon_H103 zenon_H5d zenon_H85 zenon_H459 zenon_H14c zenon_H26 zenon_Hc5 zenon_H118 zenon_H113 zenon_H461 zenon_H8a zenon_H9d zenon_H56 zenon_H9c zenon_H109 zenon_H19. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.82/66.03 apply (zenon_L674_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.82/66.03 apply (zenon_L117_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.82/66.03 apply (zenon_L710_); trivial. % 65.82/66.03 apply (zenon_L100_); trivial. % 65.82/66.03 (* end of lemma zenon_L711_ *) % 65.82/66.03 assert (zenon_L712_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.03 do 0 intro. intros zenon_H1af zenon_Hb8 zenon_H29 zenon_Haa zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H12b zenon_H119 zenon_H131 zenon_H33 zenon_H127 zenon_H3f zenon_Hb0 zenon_H109 zenon_H9c zenon_H56 zenon_H9d zenon_H8a zenon_H461 zenon_H113 zenon_H118 zenon_H14c zenon_H459 zenon_H85 zenon_H5d zenon_H103 zenon_H181 zenon_H96 zenon_H26 zenon_H19. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H145 | zenon_intro zenon_H1b0 ]. % 65.82/66.03 exact (zenon_Hb8 zenon_H145). % 65.82/66.03 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H1d | zenon_intro zenon_Hb1 ]. % 65.82/66.03 apply (zenon_L708_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb2 ]. % 65.82/66.03 apply (zenon_L41_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hab ]. % 65.82/66.03 apply (zenon_L709_); trivial. % 65.82/66.03 apply (zenon_L39_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H1aa ]. % 65.82/66.03 apply (zenon_L711_); trivial. % 65.82/66.03 apply (zenon_L154_); trivial. % 65.82/66.03 (* end of lemma zenon_L712_ *) % 65.82/66.03 assert (zenon_L713_ : (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> False). % 65.82/66.03 do 0 intro. intros zenon_H14c zenon_H459 zenon_H1d zenon_H16a. % 65.82/66.03 cut (((op2 (e21) (op2 (e21) (e20))) = (e21)) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))). % 65.82/66.03 intro zenon_D_pnotp. % 65.82/66.03 apply zenon_H14c. % 65.82/66.03 rewrite <- zenon_D_pnotp. % 65.82/66.03 exact zenon_H459. % 65.82/66.03 cut (((e21) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H16d]. % 65.82/66.03 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H45c]. % 65.82/66.03 congruence. % 65.82/66.03 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H116 | zenon_intro zenon_H117 ]. % 65.82/66.03 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e20)))). % 65.82/66.03 intro zenon_D_pnotp. % 65.82/66.03 apply zenon_H45c. % 65.82/66.03 rewrite <- zenon_D_pnotp. % 65.82/66.03 exact zenon_H116. % 65.82/66.03 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 65.82/66.03 cut (((op2 (e21) (e20)) = (op2 (e21) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H45b]. % 65.82/66.03 congruence. % 65.82/66.03 apply (zenon_L676_); trivial. % 65.82/66.03 apply zenon_H117. apply refl_equal. % 65.82/66.03 apply zenon_H117. apply refl_equal. % 65.82/66.03 apply zenon_H16d. apply sym_equal. exact zenon_H16a. % 65.82/66.03 (* end of lemma zenon_L713_ *) % 65.82/66.03 assert (zenon_L714_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.03 do 0 intro. intros zenon_H461 zenon_H16a zenon_H14c zenon_H103 zenon_H131 zenon_H187 zenon_H109 zenon_H459 zenon_H19. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H1d | zenon_intro zenon_H462 ]. % 65.82/66.03 apply (zenon_L713_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H7e | zenon_intro zenon_H463 ]. % 65.82/66.03 apply (zenon_L674_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H463); [ zenon_intro zenon_H14d | zenon_intro zenon_H45d ]. % 65.82/66.03 apply (zenon_L695_); trivial. % 65.82/66.03 apply (zenon_L687_); trivial. % 65.82/66.03 (* end of lemma zenon_L714_ *) % 65.82/66.03 assert (zenon_L715_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.03 do 0 intro. intros zenon_H17e zenon_H14c zenon_H187 zenon_H131 zenon_H171 zenon_H459 zenon_H109 zenon_H176 zenon_H103 zenon_H82 zenon_H461 zenon_H17a zenon_H19. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H16a | zenon_intro zenon_H17f ]. % 65.82/66.03 apply (zenon_L714_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H180 ]. % 65.82/66.03 apply (zenon_L696_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H177 | zenon_intro zenon_H17b ]. % 65.82/66.03 apply (zenon_L698_); trivial. % 65.82/66.03 apply (zenon_L113_); trivial. % 65.82/66.03 (* end of lemma zenon_L715_ *) % 65.82/66.03 assert (zenon_L716_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.03 do 0 intro. intros zenon_H461 zenon_Hb5 zenon_H113 zenon_Hb6 zenon_H171 zenon_H131 zenon_H187 zenon_H109 zenon_H459 zenon_H19. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H1d | zenon_intro zenon_H462 ]. % 65.82/66.03 apply (zenon_L678_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H7e | zenon_intro zenon_H463 ]. % 65.82/66.03 apply (zenon_L694_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H463); [ zenon_intro zenon_H14d | zenon_intro zenon_H45d ]. % 65.82/66.03 apply (zenon_L695_); trivial. % 65.82/66.03 apply (zenon_L687_); trivial. % 65.82/66.03 (* end of lemma zenon_L716_ *) % 65.82/66.03 assert (zenon_L717_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.03 do 0 intro. intros zenon_H461 zenon_Hb5 zenon_H113 zenon_H103 zenon_H177 zenon_H176 zenon_H109 zenon_H459 zenon_H19. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H1d | zenon_intro zenon_H462 ]. % 65.82/66.03 apply (zenon_L678_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H7e | zenon_intro zenon_H463 ]. % 65.82/66.03 apply (zenon_L674_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H463); [ zenon_intro zenon_H14d | zenon_intro zenon_H45d ]. % 65.82/66.03 apply (zenon_L697_); trivial. % 65.82/66.03 apply (zenon_L687_); trivial. % 65.82/66.03 (* end of lemma zenon_L717_ *) % 65.82/66.03 assert (zenon_L718_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.03 do 0 intro. intros zenon_H181 zenon_H17a zenon_H461 zenon_H113 zenon_H103 zenon_H176 zenon_H459 zenon_H171 zenon_H131 zenon_H187 zenon_H14c zenon_H17e zenon_H109 zenon_H19. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.82/66.03 apply (zenon_L674_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.82/66.03 apply (zenon_L715_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H16a | zenon_intro zenon_H17f ]. % 65.82/66.03 apply (zenon_L714_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H180 ]. % 65.82/66.03 apply (zenon_L716_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H177 | zenon_intro zenon_H17b ]. % 65.82/66.03 apply (zenon_L717_); trivial. % 65.82/66.03 apply (zenon_L113_); trivial. % 65.82/66.03 apply (zenon_L100_); trivial. % 65.82/66.03 (* end of lemma zenon_L718_ *) % 65.82/66.03 assert (zenon_L719_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.03 do 0 intro. intros zenon_H189 zenon_H1bc zenon_H3e zenon_H6b zenon_H26 zenon_H96 zenon_H85 zenon_H118 zenon_H8a zenon_H9d zenon_H56 zenon_H9c zenon_Hb0 zenon_H3f zenon_H127 zenon_H33 zenon_H12b zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_Haa zenon_H29 zenon_Hb8 zenon_H1af zenon_H109 zenon_H17e zenon_H14c zenon_H131 zenon_H171 zenon_H459 zenon_H176 zenon_H103 zenon_H113 zenon_H461 zenon_H17a zenon_H181 zenon_H119 zenon_H19. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.82/66.03 apply (zenon_L707_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.82/66.03 apply (zenon_L712_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.82/66.03 apply (zenon_L718_); trivial. % 65.82/66.03 apply (zenon_L72_); trivial. % 65.82/66.03 (* end of lemma zenon_L719_ *) % 65.82/66.03 assert (zenon_L720_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.03 do 0 intro. intros zenon_Hb3 zenon_H189 zenon_H1bc zenon_H3e zenon_H6b zenon_H26 zenon_H96 zenon_H85 zenon_H118 zenon_H8a zenon_H56 zenon_H9c zenon_Hb0 zenon_H3f zenon_H127 zenon_H33 zenon_H12b zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_Haa zenon_H29 zenon_H1af zenon_H109 zenon_H17e zenon_H14c zenon_H131 zenon_H171 zenon_H459 zenon_H176 zenon_H103 zenon_H113 zenon_H461 zenon_H17a zenon_H181 zenon_H119 zenon_H19. % 65.82/66.03 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 65.82/66.03 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_H32. % 65.82/66.03 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.03 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.03 apply (zenon_L719_); trivial. % 65.82/66.03 (* end of lemma zenon_L720_ *) % 65.82/66.03 assert (zenon_L721_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.03 do 0 intro. intros zenon_He3 zenon_H189 zenon_H1bc zenon_H3e zenon_H6b zenon_H26 zenon_H96 zenon_H85 zenon_H118 zenon_H8a zenon_H56 zenon_H9c zenon_Hb0 zenon_H3f zenon_H127 zenon_H33 zenon_H12b zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_Haa zenon_H29 zenon_H1af zenon_H109 zenon_H17e zenon_H14c zenon_H131 zenon_H171 zenon_H459 zenon_H176 zenon_H103 zenon_H113 zenon_H461 zenon_H17a zenon_H181 zenon_H119 zenon_H19. % 65.82/66.03 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.82/66.03 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.82/66.03 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.03 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.03 apply (zenon_L719_); trivial. % 65.82/66.03 (* end of lemma zenon_L721_ *) % 65.82/66.03 assert (zenon_L722_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.03 do 0 intro. intros zenon_H181 zenon_H5d zenon_H85 zenon_H459 zenon_H1a6 zenon_H14c zenon_H103 zenon_H113 zenon_H461 zenon_H4a zenon_H29 zenon_H26 zenon_H44 zenon_H28 zenon_H6e zenon_H109 zenon_H19. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.82/66.03 apply (zenon_L674_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.82/66.03 apply (zenon_L117_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.82/66.03 apply (zenon_L703_); trivial. % 65.82/66.03 apply (zenon_L100_); trivial. % 65.82/66.03 (* end of lemma zenon_L722_ *) % 65.82/66.03 assert (zenon_L723_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.03 do 0 intro. intros zenon_H189 zenon_Haa zenon_H1bc zenon_H3e zenon_H6b zenon_H56 zenon_H33 zenon_H3f zenon_Hb0 zenon_H6e zenon_H28 zenon_H44 zenon_H26 zenon_H29 zenon_H4a zenon_H1a6 zenon_H85 zenon_H109 zenon_H17e zenon_H14c zenon_H131 zenon_H171 zenon_H459 zenon_H176 zenon_H103 zenon_H113 zenon_H461 zenon_H17a zenon_H181 zenon_H119 zenon_H19. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.82/66.03 apply (zenon_L707_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.82/66.03 apply (zenon_L722_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.82/66.03 apply (zenon_L718_); trivial. % 65.82/66.03 apply (zenon_L72_); trivial. % 65.82/66.03 (* end of lemma zenon_L723_ *) % 65.82/66.03 assert (zenon_L724_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.03 do 0 intro. intros zenon_H181 zenon_H17a zenon_H1cc zenon_H19e zenon_H131 zenon_H171 zenon_H176 zenon_H103 zenon_H19a zenon_H13a zenon_H16b zenon_H17e zenon_H459 zenon_H14c zenon_H26 zenon_Hc5 zenon_H118 zenon_H113 zenon_H461 zenon_H8a zenon_H9d zenon_H56 zenon_H9c zenon_H109 zenon_H19. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.82/66.03 apply (zenon_L674_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.03 apply (zenon_L19_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.03 exact (zenon_H9d zenon_Ha3). % 65.82/66.03 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.03 apply (zenon_L33_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H16a | zenon_intro zenon_H17f ]. % 65.82/66.03 apply (zenon_L108_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H180 ]. % 65.82/66.03 apply (zenon_L699_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H177 | zenon_intro zenon_H17b ]. % 65.82/66.03 apply (zenon_L188_); trivial. % 65.82/66.03 apply (zenon_L113_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.82/66.03 apply (zenon_L710_); trivial. % 65.82/66.03 apply (zenon_L100_); trivial. % 65.82/66.03 (* end of lemma zenon_L724_ *) % 65.82/66.03 assert (zenon_L725_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.03 do 0 intro. intros zenon_H189 zenon_H1cc zenon_H19e zenon_H19a zenon_H16b zenon_H6b zenon_H26 zenon_H96 zenon_H85 zenon_H118 zenon_H8a zenon_H9d zenon_H56 zenon_H9c zenon_Hb0 zenon_H3f zenon_H127 zenon_H33 zenon_H12b zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_Haa zenon_H29 zenon_Hb8 zenon_H1af zenon_H109 zenon_H17e zenon_H14c zenon_H131 zenon_H171 zenon_H459 zenon_H176 zenon_H103 zenon_H113 zenon_H461 zenon_H17a zenon_H181 zenon_H119 zenon_H19. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H145 | zenon_intro zenon_H1b0 ]. % 65.82/66.03 exact (zenon_Hb8 zenon_H145). % 65.82/66.03 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H1d | zenon_intro zenon_Hb1 ]. % 65.82/66.03 apply (zenon_L708_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb2 ]. % 65.82/66.03 apply (zenon_L43_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hab ]. % 65.82/66.03 apply (zenon_L709_); trivial. % 65.82/66.03 apply (zenon_L39_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H1aa ]. % 65.82/66.03 apply (zenon_L724_); trivial. % 65.82/66.03 apply (zenon_L154_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.82/66.03 apply (zenon_L712_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.82/66.03 apply (zenon_L718_); trivial. % 65.82/66.03 apply (zenon_L72_); trivial. % 65.82/66.03 (* end of lemma zenon_L725_ *) % 65.82/66.03 assert (zenon_L726_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.03 do 0 intro. intros zenon_Hb3 zenon_H189 zenon_H1cc zenon_H19e zenon_H19a zenon_H16b zenon_H6b zenon_H26 zenon_H96 zenon_H85 zenon_H118 zenon_H8a zenon_H56 zenon_H9c zenon_Hb0 zenon_H3f zenon_H127 zenon_H33 zenon_H12b zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_Haa zenon_H29 zenon_H1af zenon_H109 zenon_H17e zenon_H14c zenon_H131 zenon_H171 zenon_H459 zenon_H176 zenon_H103 zenon_H113 zenon_H461 zenon_H17a zenon_H181 zenon_H119 zenon_H19. % 65.82/66.03 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 65.82/66.03 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_H32. % 65.82/66.03 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.03 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.03 apply (zenon_L725_); trivial. % 65.82/66.03 (* end of lemma zenon_L726_ *) % 65.82/66.03 assert (zenon_L727_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.03 do 0 intro. intros zenon_He3 zenon_H189 zenon_H1cc zenon_H19e zenon_H19a zenon_H16b zenon_H6b zenon_H26 zenon_H96 zenon_H85 zenon_H118 zenon_H8a zenon_H56 zenon_H9c zenon_Hb0 zenon_H3f zenon_H127 zenon_H33 zenon_H12b zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_Haa zenon_H29 zenon_H1af zenon_H109 zenon_H17e zenon_H14c zenon_H131 zenon_H171 zenon_H459 zenon_H176 zenon_H103 zenon_H113 zenon_H461 zenon_H17a zenon_H181 zenon_H119 zenon_H19. % 65.82/66.03 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.82/66.03 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.82/66.03 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.03 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.03 apply (zenon_L725_); trivial. % 65.82/66.03 (* end of lemma zenon_L727_ *) % 65.82/66.03 assert (zenon_L728_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> False). % 65.82/66.03 do 0 intro. intros zenon_Hf0 zenon_H459 zenon_H109 zenon_H103 zenon_H113 zenon_H461 zenon_Hd0 zenon_H1a9 zenon_H1dd zenon_H193 zenon_H1cc zenon_H1d6 zenon_Hba zenon_H164 zenon_H33 zenon_H1a6 zenon_H1af zenon_H4a zenon_H29 zenon_H44 zenon_H28 zenon_H6e zenon_Haa zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H131 zenon_H14c zenon_H182 zenon_H96 zenon_H26 zenon_H19 zenon_H194. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.03 apply (zenon_L1_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.03 apply (zenon_L2_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.03 apply (zenon_L6_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.03 apply (zenon_L8_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.03 apply (zenon_L675_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.03 apply (zenon_L27_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.03 apply (zenon_L704_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.03 apply (zenon_L47_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.03 apply (zenon_L195_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.03 apply (zenon_L49_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.03 apply (zenon_L50_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.03 apply (zenon_L52_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.03 apply (zenon_L201_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.03 apply (zenon_L56_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.03 apply (zenon_L162_); trivial. % 65.82/66.03 apply (zenon_L58_); trivial. % 65.82/66.03 (* end of lemma zenon_L728_ *) % 65.82/66.03 assert (zenon_L729_ : (((op2 (e20) (op2 (e20) (e23))) = (e20))\/(((op2 (e21) (op2 (e21) (e23))) = (e21))\/(((op2 (e22) (op2 (e22) (e23))) = (e22))\/((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.03 do 0 intro. intros zenon_H1b8 zenon_H6b zenon_Hb0 zenon_H3f zenon_H12b zenon_H189 zenon_H17a zenon_H176 zenon_H19e zenon_H171 zenon_H19a zenon_H16b zenon_H17e zenon_H118 zenon_H85 zenon_H181 zenon_H161 zenon_H119 zenon_H79 zenon_Hd9 zenon_H194 zenon_H19 zenon_H96 zenon_H182 zenon_H14c zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_Haa zenon_H6e zenon_H28 zenon_H44 zenon_H29 zenon_H4a zenon_H1af zenon_H33 zenon_H164 zenon_Hba zenon_H1d6 zenon_H1cc zenon_H1dd zenon_H1a9 zenon_Hd0 zenon_H461 zenon_H113 zenon_H103 zenon_H109 zenon_H459 zenon_Hf0 zenon_H193 zenon_H26. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.03 apply (zenon_L1_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.03 apply (zenon_L2_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.03 apply (zenon_L6_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.03 apply (zenon_L8_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.03 apply (zenon_L675_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.03 apply (zenon_L27_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.03 apply (zenon_L726_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.03 apply (zenon_L47_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.03 apply (zenon_L195_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.03 apply (zenon_L49_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.03 apply (zenon_L50_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.03 apply (zenon_L52_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.03 apply (zenon_L684_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.03 apply (zenon_L56_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.03 apply (zenon_L727_); trivial. % 65.82/66.03 apply (zenon_L58_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.03 apply (zenon_L1_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.03 apply (zenon_L2_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.03 apply (zenon_L6_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.03 apply (zenon_L8_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.03 apply (zenon_L675_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.03 apply (zenon_L27_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.03 apply (zenon_L690_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.03 apply (zenon_L47_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.03 apply (zenon_L195_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.03 apply (zenon_L49_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.03 apply (zenon_L50_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.03 apply (zenon_L52_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.03 apply (zenon_L684_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.03 apply (zenon_L56_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.03 apply (zenon_L701_); trivial. % 65.82/66.03 apply (zenon_L58_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.82/66.03 apply (zenon_L728_); trivial. % 65.82/66.03 apply (zenon_L163_); trivial. % 65.82/66.03 (* end of lemma zenon_L729_ *) % 65.82/66.03 assert (zenon_L730_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 65.82/66.03 do 0 intro. intros zenon_H1e5 zenon_H122 zenon_H127 zenon_H135 zenon_H19a zenon_Hd0 zenon_H19 zenon_H26 zenon_H1e2 zenon_He2 zenon_H109. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.82/66.03 apply (zenon_L84_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.82/66.03 apply (zenon_L133_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.82/66.03 apply (zenon_L51_); trivial. % 65.82/66.03 apply (zenon_L659_); trivial. % 65.82/66.03 (* end of lemma zenon_L730_ *) % 65.82/66.03 assert (zenon_L731_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 65.82/66.03 do 0 intro. intros zenon_H164 zenon_H14d zenon_H14c zenon_H8a zenon_Hce zenon_H161 zenon_H29 zenon_Haa zenon_H94 zenon_H1e5 zenon_H122 zenon_H127 zenon_H135 zenon_H19a zenon_Hd0 zenon_H19 zenon_H26 zenon_H1e2 zenon_H109. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H165 ]. % 65.82/66.03 apply (zenon_L98_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H8b | zenon_intro zenon_H166 ]. % 65.82/66.03 apply (zenon_L33_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hd8 ]. % 65.82/66.03 exact (zenon_Hce zenon_Hcc). % 65.82/66.03 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hab | zenon_intro zenon_H162 ]. % 65.82/66.03 apply (zenon_L39_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H163 ]. % 65.82/66.03 apply (zenon_L100_); trivial. % 65.82/66.03 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H156 | zenon_intro zenon_He2 ]. % 65.82/66.03 apply (zenon_L102_); trivial. % 65.82/66.03 apply (zenon_L730_); trivial. % 65.82/66.03 (* end of lemma zenon_L731_ *) % 65.82/66.03 assert (zenon_L732_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e22)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> False). % 65.82/66.04 do 0 intro. intros zenon_H9c zenon_H56 zenon_H9d zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H12b zenon_H119 zenon_H109 zenon_H1e2 zenon_H26 zenon_H19 zenon_Hd0 zenon_H19a zenon_H135 zenon_H1e5 zenon_Haa zenon_H29 zenon_H161 zenon_Hce zenon_H8a zenon_H14c zenon_H14d zenon_H164 zenon_H33 zenon_H127. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.04 apply (zenon_L19_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.04 exact (zenon_H9d zenon_Ha3). % 65.82/66.04 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.04 apply (zenon_L33_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.82/66.04 apply (zenon_L5_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.82/66.04 apply (zenon_L12_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.82/66.04 apply (zenon_L13_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H34 | zenon_intro zenon_H12c ]. % 65.82/66.04 apply (zenon_L7_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H11a | zenon_intro zenon_H12d ]. % 65.82/66.04 apply (zenon_L72_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H122 | zenon_intro zenon_Hde ]. % 65.82/66.04 apply (zenon_L731_); trivial. % 65.82/66.04 apply (zenon_L75_); trivial. % 65.82/66.04 (* end of lemma zenon_L732_ *) % 65.82/66.04 assert (zenon_L733_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.04 do 0 intro. intros zenon_Hb3 zenon_H1af zenon_H127 zenon_H33 zenon_H164 zenon_H161 zenon_H29 zenon_Haa zenon_H1e5 zenon_H135 zenon_H19a zenon_Hd0 zenon_H1e2 zenon_H119 zenon_H12b zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_H459 zenon_H109 zenon_H14c zenon_H118 zenon_H113 zenon_H461 zenon_H8a zenon_H56 zenon_H9c zenon_H96 zenon_H26 zenon_H19. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_H32. % 65.82/66.04 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H145 | zenon_intro zenon_H1b0 ]. % 65.82/66.04 exact (zenon_Hb8 zenon_H145). % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 65.82/66.04 apply (zenon_L732_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H1aa ]. % 65.82/66.04 apply (zenon_L710_); trivial. % 65.82/66.04 apply (zenon_L154_); trivial. % 65.82/66.04 (* end of lemma zenon_L733_ *) % 65.82/66.04 assert (zenon_L734_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.04 do 0 intro. intros zenon_Hc3 zenon_Hb0 zenon_H109 zenon_H113 zenon_H459 zenon_H103 zenon_H181 zenon_H127 zenon_H33 zenon_H131 zenon_H119 zenon_H19 zenon_H12b zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_Haa zenon_H29 zenon_H26. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.82/66.04 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.04 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H1d | zenon_intro zenon_Hb1 ]. % 65.82/66.04 apply (zenon_L679_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb2 ]. % 65.82/66.04 exact (zenon_H72 zenon_H75). % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hab ]. % 65.82/66.04 apply (zenon_L709_); trivial. % 65.82/66.04 apply (zenon_L39_); trivial. % 65.82/66.04 (* end of lemma zenon_L734_ *) % 65.82/66.04 assert (zenon_L735_ : (~((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e22))))) -> ((op2 (e23) (e22)) = (e20)) -> False). % 65.82/66.04 do 0 intro. intros zenon_H467 zenon_H92. % 65.82/66.04 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 65.82/66.04 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 65.82/66.04 congruence. % 65.82/66.04 apply zenon_H24. apply refl_equal. % 65.82/66.04 apply zenon_H93. apply sym_equal. exact zenon_H92. % 65.82/66.04 (* end of lemma zenon_L735_ *) % 65.82/66.04 assert (zenon_L736_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((op2 (e23) (e22)) = (e20)) -> ((op2 (e23) (e21)) = (e23)) -> False). % 65.82/66.04 do 0 intro. intros zenon_H96 zenon_H1e2 zenon_H92 zenon_He1. % 65.82/66.04 cut (((op2 (e23) (op2 (e23) (e22))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))). % 65.82/66.04 intro zenon_D_pnotp. % 65.82/66.04 apply zenon_H96. % 65.82/66.04 rewrite <- zenon_D_pnotp. % 65.82/66.04 exact zenon_H1e2. % 65.82/66.04 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H42e]. % 65.82/66.04 cut (((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H468]. % 65.82/66.04 congruence. % 65.82/66.04 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1ad ]. % 65.82/66.04 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (e20)))). % 65.82/66.04 intro zenon_D_pnotp. % 65.82/66.04 apply zenon_H468. % 65.82/66.04 rewrite <- zenon_D_pnotp. % 65.82/66.04 exact zenon_H1ac. % 65.82/66.04 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ad]. % 65.82/66.04 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H467]. % 65.82/66.04 congruence. % 65.82/66.04 apply (zenon_L735_); trivial. % 65.82/66.04 apply zenon_H1ad. apply refl_equal. % 65.82/66.04 apply zenon_H1ad. apply refl_equal. % 65.82/66.04 apply zenon_H42e. apply sym_equal. exact zenon_He1. % 65.82/66.04 (* end of lemma zenon_L736_ *) % 65.82/66.04 assert (zenon_L737_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.82/66.04 do 0 intro. intros zenon_H1e5 zenon_He1 zenon_H96 zenon_H19a zenon_Hd0 zenon_H19 zenon_H44d zenon_H119 zenon_H17a zenon_H1e2 zenon_H109 zenon_H26 zenon_H156. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.82/66.04 apply (zenon_L736_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.82/66.04 apply (zenon_L133_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.82/66.04 apply (zenon_L51_); trivial. % 65.82/66.04 apply (zenon_L660_); trivial. % 65.82/66.04 (* end of lemma zenon_L737_ *) % 65.82/66.04 assert (zenon_L738_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.04 do 0 intro. intros zenon_H161 zenon_H29 zenon_Haa zenon_H26 zenon_H1e2 zenon_H17a zenon_H119 zenon_H44d zenon_Hd0 zenon_H19a zenon_H96 zenon_He1 zenon_H1e5 zenon_H109 zenon_H15d zenon_H19. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hab | zenon_intro zenon_H162 ]. % 65.82/66.04 apply (zenon_L39_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H163 ]. % 65.82/66.04 apply (zenon_L100_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H156 | zenon_intro zenon_He2 ]. % 65.82/66.04 apply (zenon_L737_); trivial. % 65.82/66.04 apply (zenon_L103_); trivial. % 65.82/66.04 (* end of lemma zenon_L738_ *) % 65.82/66.04 assert (zenon_L739_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.82/66.04 do 0 intro. intros zenon_H431 zenon_H77 zenon_Hd9 zenon_H19 zenon_H15d zenon_H1e5 zenon_H96 zenon_H19a zenon_Hd0 zenon_Haa zenon_H29 zenon_H161 zenon_H1e2 zenon_H17a zenon_H119 zenon_H44d zenon_H109 zenon_H26 zenon_H156. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H431); [ zenon_intro zenon_Hda | zenon_intro zenon_H432 ]. % 65.82/66.04 apply (zenon_L53_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_He1 | zenon_intro zenon_H433 ]. % 65.82/66.04 apply (zenon_L738_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H433); [ zenon_intro zenon_He5 | zenon_intro zenon_He9 ]. % 65.82/66.04 apply (zenon_L660_); trivial. % 65.82/66.04 apply (zenon_L613_); trivial. % 65.82/66.04 (* end of lemma zenon_L739_ *) % 65.82/66.04 assert (zenon_L740_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.04 do 0 intro. intros zenon_H182 zenon_Hc5 zenon_H14c zenon_H131 zenon_Hc6 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_H431 zenon_H77 zenon_Hd9 zenon_H19 zenon_H15d zenon_H1e5 zenon_H96 zenon_H19a zenon_Hd0 zenon_Haa zenon_H29 zenon_H161 zenon_H1e2 zenon_H17a zenon_H119 zenon_H44d zenon_H109 zenon_H26. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H14d | zenon_intro zenon_H185 ]. % 65.82/66.04 apply (zenon_L157_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H186 ]. % 65.82/66.04 apply (zenon_L63_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H156 ]. % 65.82/66.04 apply (zenon_L107_); trivial. % 65.82/66.04 apply (zenon_L739_); trivial. % 65.82/66.04 (* end of lemma zenon_L740_ *) % 65.82/66.04 assert (zenon_L741_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.04 do 0 intro. intros zenon_Hc3 zenon_H79 zenon_H113 zenon_H459 zenon_H103 zenon_H181 zenon_H28 zenon_H182 zenon_H14c zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_H431 zenon_Hd9 zenon_H19 zenon_H15d zenon_H1e5 zenon_H96 zenon_H19a zenon_Hd0 zenon_Haa zenon_H29 zenon_H161 zenon_H1e2 zenon_H17a zenon_H119 zenon_H44d zenon_H109 zenon_H26. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.82/66.04 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H14 | zenon_intro zenon_H7a ]. % 65.82/66.04 exact (zenon_H17 zenon_H14). % 65.82/66.04 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 65.82/66.04 apply (zenon_L679_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H2a | zenon_intro zenon_H77 ]. % 65.82/66.04 apply (zenon_L5_); trivial. % 65.82/66.04 apply (zenon_L740_); trivial. % 65.82/66.04 (* end of lemma zenon_L741_ *) % 65.82/66.04 assert (zenon_L742_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 65.82/66.04 do 0 intro. intros zenon_H1e5 zenon_He1 zenon_H96 zenon_H19a zenon_Hd0 zenon_H19 zenon_H26 zenon_H1e2 zenon_He2 zenon_H109. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.82/66.04 apply (zenon_L736_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.82/66.04 apply (zenon_L133_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.82/66.04 apply (zenon_L51_); trivial. % 65.82/66.04 apply (zenon_L659_); trivial. % 65.82/66.04 (* end of lemma zenon_L742_ *) % 65.82/66.04 assert (zenon_L743_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> False). % 65.82/66.04 do 0 intro. intros zenon_H44d zenon_H109 zenon_H17a zenon_He5 zenon_H1e2 zenon_H119 zenon_H26 zenon_H122. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H44e ]. % 65.82/66.04 apply (zenon_L206_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H44e); [ zenon_intro zenon_He2 | zenon_intro zenon_H44f ]. % 65.82/66.04 apply (zenon_L659_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H44f); [ zenon_intro zenon_He6 | zenon_intro zenon_He9 ]. % 65.82/66.04 apply (zenon_L209_); trivial. % 65.82/66.04 apply (zenon_L611_); trivial. % 65.82/66.04 (* end of lemma zenon_L743_ *) % 65.82/66.04 assert (zenon_L744_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e23))) -> ((op2 (e21) (e23)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> False). % 65.82/66.04 do 0 intro. intros zenon_H431 zenon_H77 zenon_Hd9 zenon_He2 zenon_H19 zenon_Hd0 zenon_H19a zenon_H96 zenon_H1e5 zenon_H1e2 zenon_H17a zenon_H109 zenon_H44d zenon_H119 zenon_H26 zenon_H122. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H431); [ zenon_intro zenon_Hda | zenon_intro zenon_H432 ]. % 65.82/66.04 apply (zenon_L53_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_He1 | zenon_intro zenon_H433 ]. % 65.82/66.04 apply (zenon_L742_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H433); [ zenon_intro zenon_He5 | zenon_intro zenon_He9 ]. % 65.82/66.04 apply (zenon_L743_); trivial. % 65.82/66.04 apply (zenon_L611_); trivial. % 65.82/66.04 (* end of lemma zenon_L744_ *) % 65.82/66.04 assert (zenon_L745_ : (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> False). % 65.82/66.04 do 0 intro. intros zenon_H193 zenon_H44d zenon_H109 zenon_H17a zenon_H1e2 zenon_H1e5 zenon_H96 zenon_H19a zenon_Hd0 zenon_H19 zenon_Hd9 zenon_H77 zenon_H431 zenon_H33 zenon_H1a6 zenon_H119 zenon_H26 zenon_H122. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H44e ]. % 65.82/66.04 apply (zenon_L128_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H44e); [ zenon_intro zenon_He2 | zenon_intro zenon_H44f ]. % 65.82/66.04 apply (zenon_L744_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H44f); [ zenon_intro zenon_He6 | zenon_intro zenon_He9 ]. % 65.82/66.04 apply (zenon_L160_); trivial. % 65.82/66.04 apply (zenon_L611_); trivial. % 65.82/66.04 (* end of lemma zenon_L745_ *) % 65.82/66.04 assert (zenon_L746_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.04 do 0 intro. intros zenon_H1dd zenon_H33 zenon_H431 zenon_H77 zenon_Hd9 zenon_H193 zenon_H109 zenon_H1e2 zenon_H17a zenon_H119 zenon_H44d zenon_Hd0 zenon_H19a zenon_H96 zenon_He1 zenon_H1e5 zenon_H51 zenon_H1a6 zenon_H28 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H122 | zenon_intro zenon_H1de ]. % 65.82/66.04 apply (zenon_L745_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H156 | zenon_intro zenon_H1df ]. % 65.82/66.04 apply (zenon_L737_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1d9 ]. % 65.82/66.04 apply (zenon_L149_); trivial. % 65.82/66.04 apply (zenon_L199_); trivial. % 65.82/66.04 (* end of lemma zenon_L746_ *) % 65.82/66.04 assert (zenon_L747_ : (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> ((op2 (e22) (e23)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.82/66.04 do 0 intro. intros zenon_Hba zenon_H19 zenon_H28 zenon_H1a6 zenon_H51 zenon_H1e5 zenon_H96 zenon_H19a zenon_Hd0 zenon_H193 zenon_Hd9 zenon_H77 zenon_H431 zenon_H33 zenon_H1dd zenon_H1e2 zenon_H17a zenon_H119 zenon_H44d zenon_H109 zenon_H26 zenon_H156. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H431); [ zenon_intro zenon_Hda | zenon_intro zenon_H432 ]. % 65.82/66.04 apply (zenon_L53_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_He1 | zenon_intro zenon_H433 ]. % 65.82/66.04 apply (zenon_L746_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H433); [ zenon_intro zenon_He5 | zenon_intro zenon_He9 ]. % 65.82/66.04 apply (zenon_L660_); trivial. % 65.82/66.04 apply (zenon_L613_); trivial. % 65.82/66.04 (* end of lemma zenon_L747_ *) % 65.82/66.04 assert (zenon_L748_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.04 do 0 intro. intros zenon_H182 zenon_Hc5 zenon_H14c zenon_H131 zenon_Hc6 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_H6e zenon_H29 zenon_H44 zenon_H4f zenon_Hba zenon_H19 zenon_H28 zenon_H1a6 zenon_H1e5 zenon_H96 zenon_H19a zenon_Hd0 zenon_H193 zenon_Hd9 zenon_H77 zenon_H431 zenon_H33 zenon_H1dd zenon_H1e2 zenon_H17a zenon_H119 zenon_H44d zenon_H109 zenon_H26. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H14d | zenon_intro zenon_H185 ]. % 65.82/66.04 apply (zenon_L157_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H186 ]. % 65.82/66.04 apply (zenon_L63_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H156 ]. % 65.82/66.04 apply (zenon_L107_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.82/66.04 apply (zenon_L5_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.82/66.04 apply (zenon_L12_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.82/66.04 exact (zenon_H4f zenon_H4b). % 65.82/66.04 apply (zenon_L747_); trivial. % 65.82/66.04 (* end of lemma zenon_L748_ *) % 65.82/66.04 assert (zenon_L749_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> False). % 65.82/66.04 do 0 intro. intros zenon_Hf0 zenon_H461 zenon_H44d zenon_H119 zenon_H17a zenon_H1e2 zenon_H1dd zenon_H431 zenon_H193 zenon_H19a zenon_H1e5 zenon_Hba zenon_Hd0 zenon_Hd9 zenon_H181 zenon_H103 zenon_H459 zenon_H113 zenon_H109 zenon_H79 zenon_H33 zenon_H1a6 zenon_H1af zenon_H4a zenon_H29 zenon_H44 zenon_H28 zenon_H6e zenon_Haa zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H131 zenon_H14c zenon_H182 zenon_H96 zenon_H26 zenon_H19 zenon_H194. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.04 apply (zenon_L1_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.04 apply (zenon_L2_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.04 apply (zenon_L6_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.04 apply (zenon_L8_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.04 apply (zenon_L675_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.04 apply (zenon_L27_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.04 apply (zenon_L704_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.04 apply (zenon_L47_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.82/66.04 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.04 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.82/66.04 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H14 | zenon_intro zenon_H7a ]. % 65.82/66.04 exact (zenon_H17 zenon_H14). % 65.82/66.04 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 65.82/66.04 apply (zenon_L679_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H2a | zenon_intro zenon_H77 ]. % 65.82/66.04 apply (zenon_L5_); trivial. % 65.82/66.04 apply (zenon_L748_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.04 apply (zenon_L49_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.04 apply (zenon_L50_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.04 apply (zenon_L52_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.04 apply (zenon_L684_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.04 apply (zenon_L56_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.04 apply (zenon_L162_); trivial. % 65.82/66.04 apply (zenon_L58_); trivial. % 65.82/66.04 (* end of lemma zenon_L749_ *) % 65.82/66.04 assert (zenon_L750_ : (((op2 (e20) (op2 (e20) (e23))) = (e20))\/(((op2 (e21) (op2 (e21) (e23))) = (e21))\/(((op2 (e22) (op2 (e22) (e23))) = (e22))\/((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.04 do 0 intro. intros zenon_H1b8 zenon_Hb0 zenon_H12b zenon_H135 zenon_H189 zenon_H176 zenon_H19e zenon_H171 zenon_H16b zenon_H17e zenon_H164 zenon_H118 zenon_H85 zenon_H161 zenon_H194 zenon_H19 zenon_H96 zenon_H182 zenon_H14c zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_Haa zenon_H6e zenon_H28 zenon_H44 zenon_H29 zenon_H4a zenon_H1af zenon_H33 zenon_H79 zenon_H109 zenon_H113 zenon_H459 zenon_H103 zenon_H181 zenon_Hd9 zenon_Hd0 zenon_Hba zenon_H1e5 zenon_H19a zenon_H431 zenon_H1dd zenon_H1e2 zenon_H17a zenon_H119 zenon_H44d zenon_H461 zenon_Hf0 zenon_H193 zenon_H26. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.04 apply (zenon_L1_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.04 apply (zenon_L2_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.04 apply (zenon_L6_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.04 apply (zenon_L8_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.04 apply (zenon_L675_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.04 apply (zenon_L27_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.04 apply (zenon_L733_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.04 apply (zenon_L47_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.04 apply (zenon_L734_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.04 apply (zenon_L49_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.04 apply (zenon_L50_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.04 apply (zenon_L52_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.04 apply (zenon_L684_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.04 apply (zenon_L56_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.04 apply (zenon_L210_); trivial. % 65.82/66.04 apply (zenon_L58_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.04 apply (zenon_L1_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.04 apply (zenon_L2_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.04 apply (zenon_L6_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.04 apply (zenon_L8_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.04 apply (zenon_L675_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.04 apply (zenon_L27_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.04 apply (zenon_L690_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.04 apply (zenon_L47_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.04 apply (zenon_L741_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.04 apply (zenon_L49_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.04 apply (zenon_L50_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.04 apply (zenon_L52_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.04 apply (zenon_L684_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.04 apply (zenon_L56_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.04 apply (zenon_L701_); trivial. % 65.82/66.04 apply (zenon_L58_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.82/66.04 apply (zenon_L749_); trivial. % 65.82/66.04 apply (zenon_L163_); trivial. % 65.82/66.04 (* end of lemma zenon_L750_ *) % 65.82/66.04 assert (zenon_L751_ : (((op2 (e20) (op2 (e20) (e22))) = (e20))\/(((op2 (e21) (op2 (e21) (e22))) = (e21))\/(((op2 (e22) (op2 (e22) (e22))) = (e22))\/((op2 (e23) (op2 (e23) (e22))) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (op2 (e20) (e23))) = (e20))\/(((op2 (e21) (op2 (e21) (e23))) = (e21))\/(((op2 (e22) (op2 (e22) (e23))) = (e22))\/((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.04 do 0 intro. intros zenon_H455 zenon_H3e zenon_H1c0 zenon_H123 zenon_H1a9 zenon_H1d6 zenon_H3f zenon_H6b zenon_H1b8 zenon_Hb0 zenon_H12b zenon_H135 zenon_H189 zenon_H176 zenon_H19e zenon_H171 zenon_H16b zenon_H17e zenon_H164 zenon_H118 zenon_H85 zenon_H161 zenon_H194 zenon_H19 zenon_H96 zenon_H182 zenon_H14c zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_Haa zenon_H6e zenon_H28 zenon_H44 zenon_H29 zenon_H4a zenon_H1af zenon_H33 zenon_H79 zenon_H109 zenon_H113 zenon_H459 zenon_H103 zenon_H181 zenon_Hd9 zenon_Hd0 zenon_Hba zenon_H1e5 zenon_H19a zenon_H431 zenon_H1dd zenon_H17a zenon_H119 zenon_H44d zenon_H461 zenon_Hf0 zenon_H193 zenon_H26. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H455); [ zenon_intro zenon_H191 | zenon_intro zenon_H456 ]. % 65.82/66.04 apply (zenon_L706_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H456); [ zenon_intro zenon_H1bc | zenon_intro zenon_H457 ]. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.04 apply (zenon_L1_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.04 apply (zenon_L2_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.04 apply (zenon_L6_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.04 apply (zenon_L8_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.04 apply (zenon_L675_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.04 apply (zenon_L27_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.04 apply (zenon_L720_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.04 apply (zenon_L47_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.04 apply (zenon_L77_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.04 apply (zenon_L49_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.04 apply (zenon_L50_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.04 apply (zenon_L52_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.04 apply (zenon_L79_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.04 apply (zenon_L56_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.04 apply (zenon_L721_); trivial. % 65.82/66.04 apply (zenon_L58_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.82/66.04 apply (zenon_L173_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.82/66.04 apply (zenon_L723_); trivial. % 65.82/66.04 apply (zenon_L163_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H457); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1e2 ]. % 65.82/66.04 apply (zenon_L729_); trivial. % 65.82/66.04 apply (zenon_L750_); trivial. % 65.82/66.04 (* end of lemma zenon_L751_ *) % 65.82/66.04 assert (zenon_L752_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e22)) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.04 do 0 intro. intros zenon_H181 zenon_H103 zenon_H118 zenon_H14d zenon_H459 zenon_H75 zenon_H102 zenon_H113 zenon_H109 zenon_H19. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.82/66.04 apply (zenon_L674_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.82/66.04 apply (zenon_L692_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.82/66.04 apply (zenon_L68_); trivial. % 65.82/66.04 apply (zenon_L100_); trivial. % 65.82/66.04 (* end of lemma zenon_L752_ *) % 65.82/66.04 assert (zenon_L753_ : (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> False). % 65.82/66.04 do 0 intro. intros zenon_H14c zenon_H102 zenon_H75 zenon_H16a. % 65.82/66.04 cut (((op2 (e21) (op2 (e21) (e21))) = (e21)) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))). % 65.82/66.04 intro zenon_D_pnotp. % 65.82/66.04 apply zenon_H14c. % 65.82/66.04 rewrite <- zenon_D_pnotp. % 65.82/66.04 exact zenon_H102. % 65.82/66.04 cut (((e21) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H16d]. % 65.82/66.04 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 65.82/66.04 congruence. % 65.82/66.04 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H116 | zenon_intro zenon_H117 ]. % 65.82/66.04 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e20)))). % 65.82/66.04 intro zenon_D_pnotp. % 65.82/66.04 apply zenon_H115. % 65.82/66.04 rewrite <- zenon_D_pnotp. % 65.82/66.04 exact zenon_H116. % 65.82/66.04 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 65.82/66.04 cut (((op2 (e21) (e20)) = (op2 (e21) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H112]. % 65.82/66.04 congruence. % 65.82/66.04 apply (zenon_L67_); trivial. % 65.82/66.04 apply zenon_H117. apply refl_equal. % 65.82/66.04 apply zenon_H117. apply refl_equal. % 65.82/66.04 apply zenon_H16d. apply sym_equal. exact zenon_H16a. % 65.82/66.04 (* end of lemma zenon_L753_ *) % 65.82/66.04 assert (zenon_L754_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.04 do 0 intro. intros zenon_H181 zenon_H17a zenon_H461 zenon_H103 zenon_H176 zenon_H459 zenon_H19e zenon_H131 zenon_H171 zenon_H14c zenon_H26 zenon_Hc5 zenon_H118 zenon_H19a zenon_H17e zenon_H8a zenon_H9d zenon_H56 zenon_H9c zenon_H75 zenon_H102 zenon_H113 zenon_H109 zenon_H19. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.82/66.04 apply (zenon_L674_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.04 apply (zenon_L19_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.04 exact (zenon_H9d zenon_Ha3). % 65.82/66.04 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.04 apply (zenon_L33_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H16a | zenon_intro zenon_H17f ]. % 65.82/66.04 apply (zenon_L753_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H180 ]. % 65.82/66.04 apply (zenon_L699_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H177 | zenon_intro zenon_H17b ]. % 65.82/66.04 apply (zenon_L698_); trivial. % 65.82/66.04 apply (zenon_L113_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.82/66.04 apply (zenon_L68_); trivial. % 65.82/66.04 apply (zenon_L100_); trivial. % 65.82/66.04 (* end of lemma zenon_L754_ *) % 65.82/66.04 assert (zenon_L755_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (op2 (e20) (e22))) = (e20)) -> ((op2 (e20) (e22)) = (e22)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.04 do 0 intro. intros zenon_H1af zenon_Hb8 zenon_H29 zenon_Haa zenon_H131 zenon_H191 zenon_Hc6 zenon_H181 zenon_H17a zenon_H461 zenon_H103 zenon_H176 zenon_H459 zenon_H19e zenon_H171 zenon_H14c zenon_H118 zenon_H19a zenon_H17e zenon_H8a zenon_H9d zenon_H56 zenon_H9c zenon_H102 zenon_H113 zenon_H109 zenon_Hb0 zenon_H96 zenon_H26 zenon_H19. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H145 | zenon_intro zenon_H1b0 ]. % 65.82/66.04 exact (zenon_Hb8 zenon_H145). % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H1d | zenon_intro zenon_Hb1 ]. % 65.82/66.04 apply (zenon_L679_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb2 ]. % 65.82/66.04 apply (zenon_L752_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hab ]. % 65.82/66.04 apply (zenon_L125_); trivial. % 65.82/66.04 apply (zenon_L39_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H1aa ]. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H1d | zenon_intro zenon_Hb1 ]. % 65.82/66.04 apply (zenon_L679_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb2 ]. % 65.82/66.04 apply (zenon_L754_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hab ]. % 65.82/66.04 apply (zenon_L125_); trivial. % 65.82/66.04 apply (zenon_L39_); trivial. % 65.82/66.04 apply (zenon_L154_); trivial. % 65.82/66.04 (* end of lemma zenon_L755_ *) % 65.82/66.04 assert (zenon_L756_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.04 do 0 intro. intros zenon_Hb0 zenon_H109 zenon_H113 zenon_H102 zenon_H459 zenon_H14d zenon_H118 zenon_H103 zenon_H181 zenon_H127 zenon_H33 zenon_H131 zenon_H119 zenon_H19 zenon_H12b zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_Haa zenon_H29 zenon_H26. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H1d | zenon_intro zenon_Hb1 ]. % 65.82/66.04 apply (zenon_L708_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb2 ]. % 65.82/66.04 apply (zenon_L752_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hab ]. % 65.82/66.04 apply (zenon_L709_); trivial. % 65.82/66.04 apply (zenon_L39_); trivial. % 65.82/66.04 (* end of lemma zenon_L756_ *) % 65.82/66.04 assert (zenon_L757_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((op2 (e20) (op2 (e20) (e22))) = (e20)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.04 do 0 intro. intros zenon_H194 zenon_H191 zenon_H1af zenon_Hb8 zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H12b zenon_H119 zenon_H33 zenon_H29 zenon_Haa zenon_H131 zenon_H127 zenon_H181 zenon_H17a zenon_H461 zenon_H103 zenon_H176 zenon_H459 zenon_H19e zenon_H171 zenon_H14c zenon_H118 zenon_H19a zenon_H17e zenon_H8a zenon_H9d zenon_H56 zenon_H9c zenon_H102 zenon_H113 zenon_H109 zenon_Hb0 zenon_H96 zenon_H26 zenon_H19. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H145 | zenon_intro zenon_H195 ]. % 65.82/66.04 exact (zenon_Hb8 zenon_H145). % 65.82/66.04 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H63 | zenon_intro zenon_H196 ]. % 65.82/66.04 apply (zenon_L19_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H122 ]. % 65.82/66.04 apply (zenon_L755_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H145 | zenon_intro zenon_H1b0 ]. % 65.82/66.04 exact (zenon_Hb8 zenon_H145). % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 65.82/66.04 apply (zenon_L756_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H1aa ]. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H1d | zenon_intro zenon_Hb1 ]. % 65.82/66.04 apply (zenon_L679_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb2 ]. % 65.82/66.04 apply (zenon_L754_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hab ]. % 65.82/66.04 apply (zenon_L82_); trivial. % 65.82/66.04 apply (zenon_L39_); trivial. % 65.82/66.04 apply (zenon_L154_); trivial. % 65.82/66.04 (* end of lemma zenon_L757_ *) % 65.82/66.04 assert (zenon_L758_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((op2 (e20) (op2 (e20) (e22))) = (e20)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.04 do 0 intro. intros zenon_Hb3 zenon_H194 zenon_H191 zenon_H1af zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H12b zenon_H119 zenon_H33 zenon_H29 zenon_Haa zenon_H131 zenon_H127 zenon_H181 zenon_H17a zenon_H461 zenon_H103 zenon_H176 zenon_H459 zenon_H19e zenon_H171 zenon_H14c zenon_H118 zenon_H19a zenon_H17e zenon_H8a zenon_H56 zenon_H9c zenon_H102 zenon_H113 zenon_H109 zenon_Hb0 zenon_H96 zenon_H26 zenon_H19. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_H32. % 65.82/66.04 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.04 apply (zenon_L757_); trivial. % 65.82/66.04 (* end of lemma zenon_L758_ *) % 65.82/66.04 assert (zenon_L759_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((op2 (e20) (op2 (e20) (e22))) = (e20)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.04 do 0 intro. intros zenon_He3 zenon_H194 zenon_H191 zenon_H1af zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H12b zenon_H119 zenon_H33 zenon_H29 zenon_Haa zenon_H131 zenon_H127 zenon_H181 zenon_H17a zenon_H461 zenon_H103 zenon_H176 zenon_H459 zenon_H19e zenon_H171 zenon_H14c zenon_H118 zenon_H19a zenon_H17e zenon_H8a zenon_H56 zenon_H9c zenon_H102 zenon_H113 zenon_H109 zenon_Hb0 zenon_H96 zenon_H26 zenon_H19. % 65.82/66.04 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.82/66.04 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.82/66.04 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.04 apply (zenon_L757_); trivial. % 65.82/66.04 (* end of lemma zenon_L759_ *) % 65.82/66.04 assert (zenon_L760_ : (((op2 (e20) (op2 (e20) (e23))) = (e20))\/(((op2 (e21) (op2 (e21) (e23))) = (e21))\/(((op2 (e22) (op2 (e22) (e23))) = (e22))\/((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e20) (op2 (e20) (e22))) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.04 do 0 intro. intros zenon_H1b8 zenon_H12b zenon_H189 zenon_H17a zenon_H176 zenon_H19e zenon_H171 zenon_H19a zenon_H16b zenon_H17e zenon_H164 zenon_H118 zenon_H85 zenon_H161 zenon_H119 zenon_H10f zenon_H102 zenon_H194 zenon_H19 zenon_H96 zenon_H182 zenon_H14c zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_Haa zenon_H6e zenon_H28 zenon_H44 zenon_H29 zenon_H4a zenon_H1af zenon_H33 zenon_H79 zenon_H109 zenon_H113 zenon_H459 zenon_H103 zenon_H181 zenon_Hd9 zenon_Hd0 zenon_Hb0 zenon_H191 zenon_Hba zenon_H461 zenon_Hf0 zenon_H193 zenon_H26. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.04 apply (zenon_L1_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.04 apply (zenon_L2_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.04 apply (zenon_L6_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.04 apply (zenon_L8_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.04 apply (zenon_L675_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.04 apply (zenon_L27_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.04 apply (zenon_L758_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.04 apply (zenon_L47_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.04 apply (zenon_L683_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.04 apply (zenon_L49_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.04 apply (zenon_L50_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.04 apply (zenon_L52_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.04 apply (zenon_L684_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.04 apply (zenon_L56_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.04 apply (zenon_L759_); trivial. % 65.82/66.04 apply (zenon_L58_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.04 apply (zenon_L1_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.04 apply (zenon_L2_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.04 apply (zenon_L6_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.04 apply (zenon_L8_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.04 apply (zenon_L66_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.04 apply (zenon_L27_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.04 apply (zenon_L690_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.04 apply (zenon_L47_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.04 apply (zenon_L683_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.04 apply (zenon_L49_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.04 apply (zenon_L50_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.04 apply (zenon_L52_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.04 apply (zenon_L684_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.04 apply (zenon_L56_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.04 apply (zenon_L701_); trivial. % 65.82/66.04 apply (zenon_L58_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.82/66.04 apply (zenon_L705_); trivial. % 65.82/66.04 apply (zenon_L163_); trivial. % 65.82/66.04 (* end of lemma zenon_L760_ *) % 65.82/66.04 assert (zenon_L761_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.04 do 0 intro. intros zenon_H1af zenon_Hb8 zenon_H29 zenon_Haa zenon_H1bc zenon_H13a zenon_H3e zenon_H181 zenon_H17a zenon_H461 zenon_H103 zenon_H176 zenon_H459 zenon_H19e zenon_H131 zenon_H171 zenon_H14c zenon_H118 zenon_H19a zenon_H17e zenon_H8a zenon_H9d zenon_H56 zenon_H9c zenon_H102 zenon_H113 zenon_H109 zenon_Hb0 zenon_H96 zenon_H26 zenon_H19. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H145 | zenon_intro zenon_H1b0 ]. % 65.82/66.04 exact (zenon_Hb8 zenon_H145). % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H1d | zenon_intro zenon_Hb1 ]. % 65.82/66.04 apply (zenon_L679_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb2 ]. % 65.82/66.04 apply (zenon_L752_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hab ]. % 65.82/66.04 apply (zenon_L175_); trivial. % 65.82/66.04 apply (zenon_L39_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H1aa ]. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H1d | zenon_intro zenon_Hb1 ]. % 65.82/66.04 apply (zenon_L679_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb2 ]. % 65.82/66.04 apply (zenon_L754_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hab ]. % 65.82/66.04 apply (zenon_L175_); trivial. % 65.82/66.04 apply (zenon_L39_); trivial. % 65.82/66.04 apply (zenon_L154_); trivial. % 65.82/66.04 (* end of lemma zenon_L761_ *) % 65.82/66.04 assert (zenon_L762_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.04 do 0 intro. intros zenon_H442 zenon_H1a1 zenon_H5d zenon_H103 zenon_H26 zenon_H29 zenon_Haa zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H12b zenon_H119 zenon_H131 zenon_H33 zenon_H127 zenon_H14c zenon_H102 zenon_H459 zenon_Hb0 zenon_H43a zenon_H19. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H442); [ zenon_intro zenon_H13a | zenon_intro zenon_H443 ]. % 65.82/66.04 apply (zenon_L135_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H443); [ zenon_intro zenon_H7e | zenon_intro zenon_H444 ]. % 65.82/66.04 apply (zenon_L674_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H444); [ zenon_intro zenon_H16a | zenon_intro zenon_H43b ]. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H1d | zenon_intro zenon_Hb1 ]. % 65.82/66.04 apply (zenon_L713_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb2 ]. % 65.82/66.04 apply (zenon_L753_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hab ]. % 65.82/66.04 apply (zenon_L709_); trivial. % 65.82/66.04 apply (zenon_L39_); trivial. % 65.82/66.04 apply (zenon_L625_); trivial. % 65.82/66.04 (* end of lemma zenon_L762_ *) % 65.82/66.04 assert (zenon_L763_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.04 do 0 intro. intros zenon_H189 zenon_H96 zenon_H9c zenon_H56 zenon_H9d zenon_H8a zenon_H19a zenon_H118 zenon_H19e zenon_H3e zenon_H1bc zenon_Hb8 zenon_H1af zenon_H43a zenon_Hb0 zenon_H102 zenon_H127 zenon_H33 zenon_H12b zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_Haa zenon_H29 zenon_H26 zenon_H1a1 zenon_H442 zenon_H109 zenon_H17e zenon_H14c zenon_H131 zenon_H171 zenon_H459 zenon_H176 zenon_H103 zenon_H113 zenon_H461 zenon_H17a zenon_H181 zenon_H119 zenon_H19. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.82/66.04 apply (zenon_L761_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.82/66.04 apply (zenon_L762_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.82/66.04 apply (zenon_L718_); trivial. % 65.82/66.04 apply (zenon_L72_); trivial. % 65.82/66.04 (* end of lemma zenon_L763_ *) % 65.82/66.04 assert (zenon_L764_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.04 do 0 intro. intros zenon_Hb3 zenon_H189 zenon_H96 zenon_H9c zenon_H56 zenon_H8a zenon_H19a zenon_H118 zenon_H19e zenon_H3e zenon_H1bc zenon_H1af zenon_H43a zenon_Hb0 zenon_H102 zenon_H127 zenon_H33 zenon_H12b zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_Haa zenon_H29 zenon_H26 zenon_H1a1 zenon_H442 zenon_H109 zenon_H17e zenon_H14c zenon_H131 zenon_H171 zenon_H459 zenon_H176 zenon_H103 zenon_H113 zenon_H461 zenon_H17a zenon_H181 zenon_H119 zenon_H19. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_H32. % 65.82/66.04 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.04 apply (zenon_L763_); trivial. % 65.82/66.04 (* end of lemma zenon_L764_ *) % 65.82/66.04 assert (zenon_L765_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.04 do 0 intro. intros zenon_He3 zenon_H189 zenon_H96 zenon_H9c zenon_H56 zenon_H8a zenon_H19a zenon_H118 zenon_H19e zenon_H3e zenon_H1bc zenon_H1af zenon_H43a zenon_Hb0 zenon_H102 zenon_H127 zenon_H33 zenon_H12b zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_Haa zenon_H29 zenon_H26 zenon_H1a1 zenon_H442 zenon_H109 zenon_H17e zenon_H14c zenon_H131 zenon_H171 zenon_H459 zenon_H176 zenon_H103 zenon_H113 zenon_H461 zenon_H17a zenon_H181 zenon_H119 zenon_H19. % 65.82/66.04 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.82/66.04 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.82/66.04 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.04 apply (zenon_L763_); trivial. % 65.82/66.04 (* end of lemma zenon_L765_ *) % 65.82/66.04 assert (zenon_L766_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e21)) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.04 do 0 intro. intros zenon_Hb0 zenon_H19 zenon_H109 zenon_H113 zenon_H459 zenon_H103 zenon_H181 zenon_H72 zenon_H3e zenon_H13a zenon_H1bc zenon_Haa zenon_H29 zenon_H26. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H1d | zenon_intro zenon_Hb1 ]. % 65.82/66.04 apply (zenon_L679_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb2 ]. % 65.82/66.04 exact (zenon_H72 zenon_H75). % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9f | zenon_intro zenon_Hab ]. % 65.82/66.04 apply (zenon_L175_); trivial. % 65.82/66.04 apply (zenon_L39_); trivial. % 65.82/66.04 (* end of lemma zenon_L766_ *) % 65.82/66.04 assert (zenon_L767_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e21)) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> False). % 65.82/66.04 do 0 intro. intros zenon_Hf0 zenon_Hba zenon_H119 zenon_H17a zenon_H461 zenon_H176 zenon_H171 zenon_H17e zenon_H85 zenon_Hb0 zenon_H3e zenon_H1bc zenon_H189 zenon_Hd0 zenon_Hd9 zenon_H181 zenon_H103 zenon_H459 zenon_H113 zenon_H109 zenon_H79 zenon_H33 zenon_H1a6 zenon_H1af zenon_H4a zenon_H29 zenon_H44 zenon_H28 zenon_H6e zenon_Haa zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H131 zenon_H14c zenon_H182 zenon_H96 zenon_H26 zenon_H19 zenon_H194. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.04 apply (zenon_L1_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.04 apply (zenon_L2_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.04 apply (zenon_L6_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.04 apply (zenon_L8_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.04 apply (zenon_L675_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.04 apply (zenon_L27_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.04 apply (zenon_L704_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.04 apply (zenon_L47_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.82/66.04 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.04 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.82/66.04 apply (zenon_L766_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.82/66.04 apply (zenon_L722_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.82/66.04 apply (zenon_L718_); trivial. % 65.82/66.04 apply (zenon_L72_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.04 apply (zenon_L49_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.04 apply (zenon_L50_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.04 apply (zenon_L52_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.04 apply (zenon_L684_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.04 apply (zenon_L56_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.04 apply (zenon_L162_); trivial. % 65.82/66.04 apply (zenon_L58_); trivial. % 65.82/66.04 (* end of lemma zenon_L767_ *) % 65.82/66.04 assert (zenon_L768_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.04 do 0 intro. intros zenon_H189 zenon_H96 zenon_H1cc zenon_H19e zenon_H19a zenon_H16b zenon_H118 zenon_H8a zenon_H9d zenon_H56 zenon_H9c zenon_Hb8 zenon_H1af zenon_H43a zenon_Hb0 zenon_H102 zenon_H127 zenon_H33 zenon_H12b zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_Haa zenon_H29 zenon_H26 zenon_H1a1 zenon_H442 zenon_H109 zenon_H17e zenon_H14c zenon_H131 zenon_H171 zenon_H459 zenon_H176 zenon_H103 zenon_H113 zenon_H461 zenon_H17a zenon_H181 zenon_H119 zenon_H19. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H145 | zenon_intro zenon_H1b0 ]. % 65.82/66.04 exact (zenon_Hb8 zenon_H145). % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 65.82/66.04 apply (zenon_L756_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H1aa ]. % 65.82/66.04 apply (zenon_L724_); trivial. % 65.82/66.04 apply (zenon_L154_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.82/66.04 apply (zenon_L762_); trivial. % 65.82/66.04 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.82/66.04 apply (zenon_L718_); trivial. % 65.82/66.04 apply (zenon_L72_); trivial. % 65.82/66.04 (* end of lemma zenon_L768_ *) % 65.82/66.04 assert (zenon_L769_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.04 do 0 intro. intros zenon_Hb3 zenon_H189 zenon_H96 zenon_H1cc zenon_H19e zenon_H19a zenon_H16b zenon_H118 zenon_H8a zenon_H56 zenon_H9c zenon_H1af zenon_H43a zenon_Hb0 zenon_H102 zenon_H127 zenon_H33 zenon_H12b zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_Haa zenon_H29 zenon_H26 zenon_H1a1 zenon_H442 zenon_H109 zenon_H17e zenon_H14c zenon_H131 zenon_H171 zenon_H459 zenon_H176 zenon_H103 zenon_H113 zenon_H461 zenon_H17a zenon_H181 zenon_H119 zenon_H19. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_H32. % 65.82/66.04 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.04 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.04 apply (zenon_L768_); trivial. % 65.82/66.04 (* end of lemma zenon_L769_ *) % 65.82/66.04 assert (zenon_L770_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.05 do 0 intro. intros zenon_He3 zenon_H189 zenon_H96 zenon_H1cc zenon_H19e zenon_H19a zenon_H16b zenon_H118 zenon_H8a zenon_H56 zenon_H9c zenon_H1af zenon_H43a zenon_Hb0 zenon_H102 zenon_H127 zenon_H33 zenon_H12b zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_Haa zenon_H29 zenon_H26 zenon_H1a1 zenon_H442 zenon_H109 zenon_H17e zenon_H14c zenon_H131 zenon_H171 zenon_H459 zenon_H176 zenon_H103 zenon_H113 zenon_H461 zenon_H17a zenon_H181 zenon_H119 zenon_H19. % 65.82/66.05 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.82/66.05 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.82/66.05 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.05 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.05 apply (zenon_L768_); trivial. % 65.82/66.05 (* end of lemma zenon_L770_ *) % 65.82/66.05 assert (zenon_L771_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.05 do 0 intro. intros zenon_H7c zenon_H9c zenon_H56 zenon_H19e zenon_H15d zenon_H131 zenon_Haa zenon_H29 zenon_H161 zenon_H102 zenon_H109 zenon_H107 zenon_H26 zenon_H118 zenon_H10f zenon_H1cc zenon_H8a zenon_H19a zenon_H19. % 65.82/66.05 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7e. zenon_intro zenon_H7d. % 65.82/66.05 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H5d. zenon_intro zenon_H15. % 65.82/66.05 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.05 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.82/66.05 apply (zenon_L196_); trivial. % 65.82/66.05 (* end of lemma zenon_L771_ *) % 65.82/66.05 assert (zenon_L772_ : (((op2 (e20) (op2 (e20) (e23))) = (e20))\/(((op2 (e21) (op2 (e21) (e23))) = (e21))\/(((op2 (e22) (op2 (e22) (e23))) = (e22))\/((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e23))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.05 do 0 intro. intros zenon_H1b8 zenon_H43a zenon_Hb0 zenon_H12b zenon_H1a1 zenon_H442 zenon_H79 zenon_Hd9 zenon_H189 zenon_H17a zenon_H176 zenon_H19e zenon_H171 zenon_H19a zenon_H16b zenon_H17e zenon_H118 zenon_H85 zenon_H181 zenon_H161 zenon_H119 zenon_H102 zenon_H10f zenon_H194 zenon_H19 zenon_H96 zenon_H182 zenon_H14c zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_Haa zenon_H6e zenon_H28 zenon_H44 zenon_H29 zenon_H4a zenon_H1af zenon_H33 zenon_H164 zenon_Hba zenon_H1d6 zenon_H1cc zenon_H1dd zenon_H1a9 zenon_Hd0 zenon_H461 zenon_H113 zenon_H103 zenon_H109 zenon_H459 zenon_Hf0 zenon_H193 zenon_H26. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.05 apply (zenon_L1_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.05 apply (zenon_L2_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.05 apply (zenon_L6_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.05 apply (zenon_L8_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.05 apply (zenon_L66_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.05 apply (zenon_L27_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.05 apply (zenon_L769_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.05 apply (zenon_L47_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.05 apply (zenon_L195_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.05 apply (zenon_L49_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.05 apply (zenon_L50_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.05 apply (zenon_L52_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.05 apply (zenon_L684_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.05 apply (zenon_L56_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.05 apply (zenon_L770_); trivial. % 65.82/66.05 apply (zenon_L58_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.05 apply (zenon_L1_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.05 apply (zenon_L2_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.05 apply (zenon_L6_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.05 apply (zenon_L8_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.05 apply (zenon_L771_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.05 apply (zenon_L27_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.05 apply (zenon_L690_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.05 apply (zenon_L47_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.05 apply (zenon_L195_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.05 apply (zenon_L49_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.05 apply (zenon_L50_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.05 apply (zenon_L52_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.05 apply (zenon_L197_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.05 apply (zenon_L56_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.05 apply (zenon_L701_); trivial. % 65.82/66.05 apply (zenon_L58_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.82/66.05 apply (zenon_L728_); trivial. % 65.82/66.05 apply (zenon_L163_); trivial. % 65.82/66.05 (* end of lemma zenon_L772_ *) % 65.82/66.05 assert (zenon_L773_ : (((op2 (e20) (op2 (e20) (e23))) = (e20))\/(((op2 (e21) (op2 (e21) (e23))) = (e21))\/(((op2 (e22) (op2 (e22) (e23))) = (e22))\/((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.05 do 0 intro. intros zenon_H1b8 zenon_Hb0 zenon_H12b zenon_H189 zenon_H176 zenon_H19e zenon_H171 zenon_H16b zenon_H17e zenon_H164 zenon_H118 zenon_H85 zenon_H161 zenon_H10f zenon_H102 zenon_H194 zenon_H19 zenon_H96 zenon_H182 zenon_H14c zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_Haa zenon_H6e zenon_H28 zenon_H44 zenon_H29 zenon_H4a zenon_H1af zenon_H33 zenon_H79 zenon_H109 zenon_H113 zenon_H459 zenon_H103 zenon_H181 zenon_Hd9 zenon_Hd0 zenon_Hba zenon_H1e5 zenon_H19a zenon_H431 zenon_H1dd zenon_H1e2 zenon_H17a zenon_H119 zenon_H44d zenon_H461 zenon_Hf0 zenon_H193 zenon_H26. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.05 apply (zenon_L1_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.05 apply (zenon_L2_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.05 apply (zenon_L6_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.05 apply (zenon_L8_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.05 apply (zenon_L675_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.05 apply (zenon_L27_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.05 apply (zenon_L71_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.05 apply (zenon_L47_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.05 apply (zenon_L734_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.05 apply (zenon_L49_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.05 apply (zenon_L50_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.05 apply (zenon_L52_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.05 apply (zenon_L684_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.05 apply (zenon_L56_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.05 apply (zenon_L210_); trivial. % 65.82/66.05 apply (zenon_L58_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.05 apply (zenon_L1_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.05 apply (zenon_L2_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.05 apply (zenon_L6_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.05 apply (zenon_L8_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.05 apply (zenon_L66_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.05 apply (zenon_L27_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.05 apply (zenon_L71_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.05 apply (zenon_L47_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.05 apply (zenon_L741_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.05 apply (zenon_L49_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.05 apply (zenon_L50_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.05 apply (zenon_L52_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.05 apply (zenon_L684_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.05 apply (zenon_L56_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.05 apply (zenon_L701_); trivial. % 65.82/66.05 apply (zenon_L58_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.82/66.05 apply (zenon_L749_); trivial. % 65.82/66.05 apply (zenon_L163_); trivial. % 65.82/66.05 (* end of lemma zenon_L773_ *) % 65.82/66.05 assert (zenon_L774_ : (((op2 (e20) (op2 (e20) (e22))) = (e20))\/(((op2 (e21) (op2 (e21) (e22))) = (e21))\/(((op2 (e22) (op2 (e22) (e22))) = (e22))\/((op2 (e23) (op2 (e23) (e22))) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (op2 (e20) (e23))) = (e20))\/(((op2 (e21) (op2 (e21) (e23))) = (e21))\/(((op2 (e22) (op2 (e22) (e23))) = (e22))\/((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.05 do 0 intro. intros zenon_H455 zenon_H3e zenon_H1c0 zenon_H123 zenon_H1a9 zenon_H1d6 zenon_H442 zenon_H1a1 zenon_H43a zenon_H1b8 zenon_Hb0 zenon_H12b zenon_H189 zenon_H176 zenon_H19e zenon_H171 zenon_H16b zenon_H17e zenon_H164 zenon_H118 zenon_H85 zenon_H161 zenon_H10f zenon_H102 zenon_H194 zenon_H19 zenon_H96 zenon_H182 zenon_H14c zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_Haa zenon_H6e zenon_H28 zenon_H44 zenon_H29 zenon_H4a zenon_H1af zenon_H33 zenon_H79 zenon_H109 zenon_H113 zenon_H459 zenon_H103 zenon_H181 zenon_Hd9 zenon_Hd0 zenon_Hba zenon_H1e5 zenon_H19a zenon_H431 zenon_H1dd zenon_H17a zenon_H119 zenon_H44d zenon_H461 zenon_Hf0 zenon_H193 zenon_H26. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H455); [ zenon_intro zenon_H191 | zenon_intro zenon_H456 ]. % 65.82/66.05 apply (zenon_L760_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H456); [ zenon_intro zenon_H1bc | zenon_intro zenon_H457 ]. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.05 apply (zenon_L1_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.05 apply (zenon_L2_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.05 apply (zenon_L6_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.05 apply (zenon_L8_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.05 apply (zenon_L675_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.05 apply (zenon_L27_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.05 apply (zenon_L764_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.05 apply (zenon_L47_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.05 apply (zenon_L77_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.05 apply (zenon_L49_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.05 apply (zenon_L50_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.05 apply (zenon_L52_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.05 apply (zenon_L79_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.05 apply (zenon_L56_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.05 apply (zenon_L765_); trivial. % 65.82/66.05 apply (zenon_L58_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.82/66.05 apply (zenon_L173_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.82/66.05 apply (zenon_L767_); trivial. % 65.82/66.05 apply (zenon_L163_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H457); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1e2 ]. % 65.82/66.05 apply (zenon_L772_); trivial. % 65.82/66.05 apply (zenon_L773_); trivial. % 65.82/66.05 (* end of lemma zenon_L774_ *) % 65.82/66.05 assert (zenon_L775_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e22)) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 65.82/66.05 do 0 intro. intros zenon_H1d6 zenon_H26 zenon_H29 zenon_H4a zenon_H14d zenon_H459 zenon_H176 zenon_Hce zenon_H428 zenon_H94 zenon_H438. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H4b | zenon_intro zenon_H1d7 ]. % 65.82/66.05 apply (zenon_L13_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H177 | zenon_intro zenon_H1d8 ]. % 65.82/66.05 apply (zenon_L697_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1d2 ]. % 65.82/66.05 exact (zenon_Hce zenon_Hcc). % 65.82/66.05 apply (zenon_L623_); trivial. % 65.82/66.05 (* end of lemma zenon_L775_ *) % 65.82/66.05 assert (zenon_L776_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e22)) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 65.82/66.05 do 0 intro. intros zenon_H9c zenon_H56 zenon_H9d zenon_H19 zenon_H8a zenon_H1d6 zenon_H26 zenon_H29 zenon_H4a zenon_H14d zenon_H459 zenon_H176 zenon_Hce zenon_H428 zenon_H438. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.05 apply (zenon_L19_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.05 exact (zenon_H9d zenon_Ha3). % 65.82/66.05 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.05 apply (zenon_L33_); trivial. % 65.82/66.05 apply (zenon_L775_); trivial. % 65.82/66.05 (* end of lemma zenon_L776_ *) % 65.82/66.05 assert (zenon_L777_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.05 do 0 intro. intros zenon_H461 zenon_Hb5 zenon_H113 zenon_Hb6 zenon_H171 zenon_H438 zenon_H94 zenon_H428 zenon_Hce zenon_H176 zenon_H4a zenon_H29 zenon_H26 zenon_H1d6 zenon_H109 zenon_H459 zenon_H19. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H1d | zenon_intro zenon_H462 ]. % 65.82/66.05 apply (zenon_L678_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H7e | zenon_intro zenon_H463 ]. % 65.82/66.05 apply (zenon_L694_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H463); [ zenon_intro zenon_H14d | zenon_intro zenon_H45d ]. % 65.82/66.05 apply (zenon_L775_); trivial. % 65.82/66.05 apply (zenon_L687_); trivial. % 65.82/66.05 (* end of lemma zenon_L777_ *) % 65.82/66.05 assert (zenon_L778_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.05 do 0 intro. intros zenon_H9c zenon_H56 zenon_H9d zenon_H8a zenon_H16b zenon_H13a zenon_H19a zenon_H1c0 zenon_H113 zenon_H171 zenon_H438 zenon_H428 zenon_Hce zenon_H4a zenon_H29 zenon_H26 zenon_H1d6 zenon_H17e zenon_H14c zenon_H131 zenon_H19e zenon_H459 zenon_H109 zenon_H176 zenon_H103 zenon_H82 zenon_H461 zenon_H17a zenon_H19. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.05 apply (zenon_L19_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.05 exact (zenon_H9d zenon_Ha3). % 65.82/66.05 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.05 apply (zenon_L33_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H16a | zenon_intro zenon_H17f ]. % 65.82/66.05 apply (zenon_L108_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H180 ]. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H187 | zenon_intro zenon_H19f ]. % 65.82/66.05 apply (zenon_L715_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a0 ]. % 65.82/66.05 apply (zenon_L777_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H177 | zenon_intro zenon_H19b ]. % 65.82/66.05 apply (zenon_L171_); trivial. % 65.82/66.05 apply (zenon_L133_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H177 | zenon_intro zenon_H17b ]. % 65.82/66.05 apply (zenon_L698_); trivial. % 65.82/66.05 apply (zenon_L113_); trivial. % 65.82/66.05 (* end of lemma zenon_L778_ *) % 65.82/66.05 assert (zenon_L779_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e23) (e21)) = (e22)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.05 do 0 intro. intros zenon_H461 zenon_H16a zenon_Hb5 zenon_H118 zenon_Hc5 zenon_H94 zenon_H26 zenon_H14c zenon_H109 zenon_H459 zenon_H19. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H1d | zenon_intro zenon_H462 ]. % 65.82/66.05 apply (zenon_L713_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H7e | zenon_intro zenon_H463 ]. % 65.82/66.05 apply (zenon_L686_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H463); [ zenon_intro zenon_H14d | zenon_intro zenon_H45d ]. % 65.82/66.05 apply (zenon_L98_); trivial. % 65.82/66.05 apply (zenon_L687_); trivial. % 65.82/66.05 (* end of lemma zenon_L779_ *) % 65.82/66.05 assert (zenon_L780_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e22))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.05 do 0 intro. intros zenon_H1af zenon_Hb8 zenon_H109 zenon_H9c zenon_H56 zenon_H9d zenon_H8a zenon_H17e zenon_H14c zenon_H118 zenon_H1d6 zenon_H29 zenon_H4a zenon_Hce zenon_H428 zenon_H438 zenon_H171 zenon_H459 zenon_H176 zenon_H103 zenon_H113 zenon_H461 zenon_H17a zenon_H16b zenon_H13a zenon_H19a zenon_H1c0 zenon_H131 zenon_H19e zenon_H181 zenon_H96 zenon_H26 zenon_H19. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H145 | zenon_intro zenon_H1b0 ]. % 65.82/66.05 exact (zenon_Hb8 zenon_H145). % 65.82/66.05 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 65.82/66.05 apply (zenon_L776_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H1aa ]. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.82/66.05 apply (zenon_L674_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.82/66.05 apply (zenon_L778_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.05 apply (zenon_L19_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.05 exact (zenon_H9d zenon_Ha3). % 65.82/66.05 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.05 apply (zenon_L33_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H16a | zenon_intro zenon_H17f ]. % 65.82/66.05 apply (zenon_L779_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H180 ]. % 65.82/66.05 apply (zenon_L777_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H177 | zenon_intro zenon_H17b ]. % 65.82/66.05 apply (zenon_L717_); trivial. % 65.82/66.05 apply (zenon_L113_); trivial. % 65.82/66.05 apply (zenon_L100_); trivial. % 65.82/66.05 apply (zenon_L154_); trivial. % 65.82/66.05 (* end of lemma zenon_L780_ *) % 65.82/66.05 assert (zenon_L781_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.05 do 0 intro. intros zenon_H9c zenon_H56 zenon_H9d zenon_H8a zenon_H461 zenon_H16a zenon_Hb5 zenon_H118 zenon_Hc5 zenon_H26 zenon_H14c zenon_H109 zenon_H459 zenon_H19. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.82/66.05 apply (zenon_L19_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.82/66.05 exact (zenon_H9d zenon_Ha3). % 65.82/66.05 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.82/66.05 apply (zenon_L33_); trivial. % 65.82/66.05 apply (zenon_L779_); trivial. % 65.82/66.05 (* end of lemma zenon_L781_ *) % 65.82/66.05 assert (zenon_L782_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.05 do 0 intro. intros zenon_H181 zenon_H103 zenon_H5d zenon_H85 zenon_H459 zenon_H14c zenon_H26 zenon_Hc5 zenon_H118 zenon_H16a zenon_H461 zenon_H8a zenon_H9d zenon_H56 zenon_H9c zenon_H109 zenon_H19. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.82/66.05 apply (zenon_L674_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.82/66.05 apply (zenon_L117_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.82/66.05 apply (zenon_L781_); trivial. % 65.82/66.05 apply (zenon_L100_); trivial. % 65.82/66.05 (* end of lemma zenon_L782_ *) % 65.82/66.05 assert (zenon_L783_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.05 do 0 intro. intros zenon_H1af zenon_Hb8 zenon_H438 zenon_H428 zenon_Hce zenon_H176 zenon_H4a zenon_H29 zenon_H1d6 zenon_H109 zenon_H9c zenon_H56 zenon_H9d zenon_H8a zenon_H461 zenon_H16a zenon_H118 zenon_H14c zenon_H459 zenon_H85 zenon_H5d zenon_H103 zenon_H181 zenon_H96 zenon_H26 zenon_H19. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H145 | zenon_intro zenon_H1b0 ]. % 65.82/66.05 exact (zenon_Hb8 zenon_H145). % 65.82/66.05 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 65.82/66.05 apply (zenon_L776_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H1aa ]. % 65.82/66.05 apply (zenon_L782_); trivial. % 65.82/66.05 apply (zenon_L154_); trivial. % 65.82/66.05 (* end of lemma zenon_L783_ *) % 65.82/66.05 assert (zenon_L784_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.05 do 0 intro. intros zenon_H189 zenon_H43a zenon_H1af zenon_Hb8 zenon_H438 zenon_H428 zenon_Hce zenon_H4a zenon_H29 zenon_H1d6 zenon_H9c zenon_H56 zenon_H9d zenon_H8a zenon_H118 zenon_H85 zenon_H96 zenon_H26 zenon_H16b zenon_H19a zenon_H1c0 zenon_H19e zenon_H442 zenon_H109 zenon_H17e zenon_H14c zenon_H131 zenon_H171 zenon_H459 zenon_H176 zenon_H103 zenon_H113 zenon_H461 zenon_H17a zenon_H181 zenon_H119 zenon_H19. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.82/66.05 apply (zenon_L780_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H442); [ zenon_intro zenon_H13a | zenon_intro zenon_H443 ]. % 65.82/66.05 apply (zenon_L780_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H443); [ zenon_intro zenon_H7e | zenon_intro zenon_H444 ]. % 65.82/66.05 apply (zenon_L674_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H444); [ zenon_intro zenon_H16a | zenon_intro zenon_H43b ]. % 65.82/66.05 apply (zenon_L783_); trivial. % 65.82/66.05 apply (zenon_L625_); trivial. % 65.82/66.05 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.82/66.05 apply (zenon_L718_); trivial. % 65.82/66.05 apply (zenon_L72_); trivial. % 65.82/66.05 (* end of lemma zenon_L784_ *) % 65.82/66.05 assert (zenon_L785_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.05 do 0 intro. intros zenon_Hb3 zenon_H189 zenon_H43a zenon_H1af zenon_H438 zenon_H428 zenon_H4a zenon_H29 zenon_H1d6 zenon_H9c zenon_H56 zenon_H8a zenon_H118 zenon_H85 zenon_H96 zenon_H26 zenon_H16b zenon_H19a zenon_H1c0 zenon_H19e zenon_H442 zenon_H109 zenon_H17e zenon_H14c zenon_H131 zenon_H171 zenon_H459 zenon_H176 zenon_H103 zenon_H113 zenon_H461 zenon_H17a zenon_H181 zenon_H119 zenon_H19. % 65.82/66.05 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 65.82/66.05 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_H32. % 65.82/66.05 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.05 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.05 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 65.82/66.05 apply (zenon_L784_); trivial. % 65.82/66.05 (* end of lemma zenon_L785_ *) % 65.82/66.05 assert (zenon_L786_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.06 do 0 intro. intros zenon_He3 zenon_H189 zenon_H43a zenon_H1af zenon_H438 zenon_H428 zenon_H4a zenon_H29 zenon_H1d6 zenon_H9c zenon_H56 zenon_H8a zenon_H118 zenon_H85 zenon_H96 zenon_H26 zenon_H16b zenon_H19a zenon_H1c0 zenon_H19e zenon_H442 zenon_H109 zenon_H17e zenon_H14c zenon_H131 zenon_H171 zenon_H459 zenon_H176 zenon_H103 zenon_H113 zenon_H461 zenon_H17a zenon_H181 zenon_H119 zenon_H19. % 65.82/66.06 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.82/66.06 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 65.82/66.06 apply (zenon_L784_); trivial. % 65.82/66.06 (* end of lemma zenon_L786_ *) % 65.82/66.06 assert (zenon_L787_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e22))) = (e20)) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> False). % 65.82/66.06 do 0 intro. intros zenon_Hf0 zenon_H28 zenon_H33 zenon_Haa zenon_H191 zenon_Hb0 zenon_Hba zenon_Hd0 zenon_H429 zenon_H435 zenon_H19 zenon_H119 zenon_H181 zenon_H17a zenon_H461 zenon_H113 zenon_H103 zenon_H176 zenon_H459 zenon_H171 zenon_H131 zenon_H14c zenon_H17e zenon_H109 zenon_H442 zenon_H19e zenon_H1c0 zenon_H19a zenon_H16b zenon_H26 zenon_H96 zenon_H85 zenon_H118 zenon_H8a zenon_H56 zenon_H9c zenon_H1d6 zenon_H29 zenon_H4a zenon_H428 zenon_H438 zenon_H1af zenon_H43a zenon_H189. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.06 apply (zenon_L1_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.06 apply (zenon_L2_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.06 apply (zenon_L6_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.06 apply (zenon_L8_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.06 apply (zenon_L675_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.06 apply (zenon_L27_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.06 apply (zenon_L785_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.06 apply (zenon_L47_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.06 apply (zenon_L683_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.06 apply (zenon_L49_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.06 apply (zenon_L50_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.06 apply (zenon_L52_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.06 apply (zenon_L638_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.06 apply (zenon_L56_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.06 apply (zenon_L786_); trivial. % 65.82/66.06 apply (zenon_L58_); trivial. % 65.82/66.06 (* end of lemma zenon_L787_ *) % 65.82/66.06 assert (zenon_L788_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> False). % 65.82/66.06 do 0 intro. intros zenon_Hf0 zenon_H28 zenon_H33 zenon_H103 zenon_H459 zenon_Haa zenon_H1a9 zenon_H107 zenon_H131 zenon_H14c zenon_H182 zenon_Hba zenon_Hd0 zenon_H429 zenon_H96 zenon_H435 zenon_H438 zenon_H428 zenon_H8a zenon_H1cc zenon_H4a zenon_H29 zenon_H26 zenon_H1d6 zenon_H19 zenon_H56 zenon_H9c. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.06 apply (zenon_L1_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.06 apply (zenon_L2_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.06 apply (zenon_L6_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.06 apply (zenon_L8_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.06 apply (zenon_L675_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.06 apply (zenon_L27_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.06 apply (zenon_L653_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.06 apply (zenon_L47_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.06 apply (zenon_L195_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.06 apply (zenon_L49_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.06 apply (zenon_L50_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.06 apply (zenon_L52_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.06 apply (zenon_L638_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.06 apply (zenon_L56_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.06 apply (zenon_L654_); trivial. % 65.82/66.06 apply (zenon_L58_); trivial. % 65.82/66.06 (* end of lemma zenon_L788_ *) % 65.82/66.06 assert (zenon_L789_ : (((op2 (e20) (op2 (e20) (e23))) = (e20))\/(((op2 (e21) (op2 (e21) (e23))) = (e21))\/(((op2 (e22) (op2 (e22) (e23))) = (e22))\/((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H1b8 zenon_Hb0 zenon_H12b zenon_H189 zenon_H43a zenon_H1d6 zenon_H118 zenon_H85 zenon_H16b zenon_H19a zenon_H1c0 zenon_H19e zenon_H442 zenon_H17e zenon_H171 zenon_H176 zenon_H113 zenon_H461 zenon_H181 zenon_H79 zenon_Hd9 zenon_H1e5 zenon_H161 zenon_H164 zenon_H194 zenon_H19 zenon_H96 zenon_H182 zenon_H14c zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_Haa zenon_H6e zenon_H28 zenon_H44 zenon_H29 zenon_H4a zenon_H1af zenon_H33 zenon_H435 zenon_H429 zenon_H428 zenon_Hd0 zenon_Hba zenon_H450 zenon_H135 zenon_Ha0 zenon_H438 zenon_H1dd zenon_H431 zenon_H109 zenon_H1e2 zenon_H17a zenon_H119 zenon_H44d zenon_H459 zenon_H103 zenon_Hf0 zenon_H193 zenon_H26. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.06 apply (zenon_L1_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.06 apply (zenon_L2_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.06 apply (zenon_L6_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.06 apply (zenon_L8_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.06 apply (zenon_L675_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.06 apply (zenon_L27_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.06 apply (zenon_L785_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.06 apply (zenon_L47_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.06 apply (zenon_L734_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.06 apply (zenon_L49_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.06 apply (zenon_L50_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.06 apply (zenon_L52_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.06 apply (zenon_L79_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.06 apply (zenon_L56_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.06 apply (zenon_L210_); trivial. % 65.82/66.06 apply (zenon_L58_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.06 apply (zenon_L1_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.06 apply (zenon_L2_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.06 apply (zenon_L6_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.06 apply (zenon_L8_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.06 apply (zenon_L675_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.06 apply (zenon_L27_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.06 apply (zenon_L690_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.06 apply (zenon_L47_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.06 apply (zenon_L741_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.06 apply (zenon_L49_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.06 apply (zenon_L50_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.06 apply (zenon_L52_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.06 apply (zenon_L684_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.06 apply (zenon_L56_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.06 apply (zenon_L786_); trivial. % 65.82/66.06 apply (zenon_L58_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.06 apply (zenon_L1_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.06 apply (zenon_L2_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.06 apply (zenon_L6_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.06 apply (zenon_L8_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.06 apply (zenon_L675_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.06 apply (zenon_L27_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.06 apply (zenon_L670_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.06 apply (zenon_L47_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.06 apply (zenon_L671_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.06 apply (zenon_L49_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.06 apply (zenon_L50_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.06 apply (zenon_L52_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.06 apply (zenon_L638_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.06 apply (zenon_L56_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.06 apply (zenon_L162_); trivial. % 65.82/66.06 apply (zenon_L58_); trivial. % 65.82/66.06 apply (zenon_L163_); trivial. % 65.82/66.06 (* end of lemma zenon_L789_ *) % 65.82/66.06 assert (zenon_L790_ : (((op2 (e20) (op2 (e20) (e22))) = (e20))\/(((op2 (e21) (op2 (e21) (e22))) = (e21))\/(((op2 (e22) (op2 (e22) (e22))) = (e22))\/((op2 (e23) (op2 (e23) (e22))) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (op2 (e20) (e23))) = (e20))\/(((op2 (e21) (op2 (e21) (e23))) = (e21))\/(((op2 (e22) (op2 (e22) (e23))) = (e22))\/((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H455 zenon_H3e zenon_H123 zenon_H445 zenon_H150 zenon_H1a9 zenon_H1b8 zenon_Hb0 zenon_H12b zenon_H189 zenon_H43a zenon_H1d6 zenon_H118 zenon_H85 zenon_H16b zenon_H19a zenon_H1c0 zenon_H19e zenon_H442 zenon_H17e zenon_H171 zenon_H176 zenon_H113 zenon_H461 zenon_H181 zenon_H79 zenon_Hd9 zenon_H1e5 zenon_H161 zenon_H164 zenon_H194 zenon_H19 zenon_H96 zenon_H182 zenon_H14c zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_Haa zenon_H6e zenon_H28 zenon_H44 zenon_H29 zenon_H4a zenon_H1af zenon_H33 zenon_H435 zenon_H429 zenon_H428 zenon_Hd0 zenon_Hba zenon_H450 zenon_H135 zenon_Ha0 zenon_H438 zenon_H1dd zenon_H431 zenon_H109 zenon_H17a zenon_H119 zenon_H44d zenon_H459 zenon_H103 zenon_Hf0 zenon_H193 zenon_H26. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H455); [ zenon_intro zenon_H191 | zenon_intro zenon_H456 ]. % 65.82/66.06 apply (zenon_L787_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H456); [ zenon_intro zenon_H1bc | zenon_intro zenon_H457 ]. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.06 apply (zenon_L1_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.06 apply (zenon_L2_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.06 apply (zenon_L6_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.06 apply (zenon_L8_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.06 apply (zenon_L675_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.06 apply (zenon_L27_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.06 apply (zenon_L645_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.06 apply (zenon_L47_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.06 apply (zenon_L77_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.06 apply (zenon_L49_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.06 apply (zenon_L50_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.06 apply (zenon_L52_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.06 apply (zenon_L79_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.06 apply (zenon_L56_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.06 apply (zenon_L647_); trivial. % 65.82/66.06 apply (zenon_L58_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.82/66.06 apply (zenon_L173_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.82/66.06 apply (zenon_L767_); trivial. % 65.82/66.06 apply (zenon_L163_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H457); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1e2 ]. % 65.82/66.06 apply (zenon_L788_); trivial. % 65.82/66.06 apply (zenon_L789_); trivial. % 65.82/66.06 (* end of lemma zenon_L790_ *) % 65.82/66.06 assert (zenon_L791_ : (((op2 (e20) (op2 (e20) (e21))) = (e20))\/(((op2 (e21) (op2 (e21) (e21))) = (e21))\/(((op2 (e22) (op2 (e22) (e21))) = (e22))\/((op2 (e23) (op2 (e23) (e21))) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (((op2 (e20) (op2 (e20) (e22))) = (e20))\/(((op2 (e21) (op2 (e21) (e22))) = (e21))\/(((op2 (e22) (op2 (e22) (e22))) = (e22))\/((op2 (e23) (op2 (e23) (e22))) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (op2 (e20) (e23))) = (e20))\/(((op2 (e21) (op2 (e21) (e23))) = (e21))\/(((op2 (e22) (op2 (e22) (e23))) = (e22))\/((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H469 zenon_H6b zenon_H10f zenon_H1a1 zenon_H424 zenon_H455 zenon_H3e zenon_H123 zenon_H445 zenon_H150 zenon_H1a9 zenon_H1b8 zenon_Hb0 zenon_H12b zenon_H189 zenon_H43a zenon_H1d6 zenon_H118 zenon_H85 zenon_H16b zenon_H19a zenon_H1c0 zenon_H19e zenon_H442 zenon_H17e zenon_H171 zenon_H176 zenon_H113 zenon_H461 zenon_H181 zenon_H79 zenon_Hd9 zenon_H1e5 zenon_H161 zenon_H164 zenon_H194 zenon_H19 zenon_H96 zenon_H182 zenon_H14c zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_Haa zenon_H6e zenon_H28 zenon_H44 zenon_H29 zenon_H4a zenon_H1af zenon_H33 zenon_H435 zenon_H429 zenon_Hd0 zenon_Hba zenon_H450 zenon_H135 zenon_Ha0 zenon_H438 zenon_H1dd zenon_H431 zenon_H109 zenon_H17a zenon_H119 zenon_H44d zenon_H459 zenon_H103 zenon_Hf0 zenon_H193 zenon_H26. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H469); [ zenon_intro zenon_H3f | zenon_intro zenon_H46a ]. % 65.82/66.06 apply (zenon_L751_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H46a); [ zenon_intro zenon_H102 | zenon_intro zenon_H46b ]. % 65.82/66.06 apply (zenon_L774_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H46b); [ zenon_intro zenon_H41d | zenon_intro zenon_H428 ]. % 65.82/66.06 apply (zenon_L604_); trivial. % 65.82/66.06 apply (zenon_L790_); trivial. % 65.82/66.06 (* end of lemma zenon_L791_ *) % 65.82/66.06 assert (zenon_L792_ : (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> False). % 65.82/66.06 do 0 intro. intros zenon_H8a zenon_H46c zenon_H16a zenon_H94. % 65.82/66.06 cut (((op2 (e22) (op2 (e22) (e20))) = (e22)) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H8a. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H46c. % 65.82/66.06 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 65.82/66.06 cut (((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H46d]. % 65.82/66.06 congruence. % 65.82/66.06 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H47 | zenon_intro zenon_H48 ]. % 65.82/66.06 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (e21)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H46d. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H47. % 65.82/66.06 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 65.82/66.06 cut (((op2 (e22) (e21)) = (op2 (e22) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H46e]. % 65.82/66.06 congruence. % 65.82/66.06 cut (((e21) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H16d]. % 65.82/66.06 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 65.82/66.06 congruence. % 65.82/66.06 apply zenon_H1a4. apply refl_equal. % 65.82/66.06 apply zenon_H16d. apply sym_equal. exact zenon_H16a. % 65.82/66.06 apply zenon_H48. apply refl_equal. % 65.82/66.06 apply zenon_H48. apply refl_equal. % 65.82/66.06 apply zenon_H99. apply sym_equal. exact zenon_H94. % 65.82/66.06 (* end of lemma zenon_L792_ *) % 65.82/66.06 assert (zenon_L793_ : (~((op2 (e22) (e22)) = (op2 (e22) (op2 (e22) (e20))))) -> ((op2 (e22) (e20)) = (e22)) -> False). % 65.82/66.06 do 0 intro. intros zenon_H46f zenon_Hc5. % 65.82/66.06 cut (((e22) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H14b]. % 65.82/66.06 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 65.82/66.06 congruence. % 65.82/66.06 apply zenon_H1a4. apply refl_equal. % 65.82/66.06 apply zenon_H14b. apply sym_equal. exact zenon_Hc5. % 65.82/66.06 (* end of lemma zenon_L793_ *) % 65.82/66.06 assert (zenon_L794_ : ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H46c zenon_Hc5 zenon_H1a9. % 65.82/66.06 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ]. % 65.82/66.06 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H1a9. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H4d. % 65.82/66.06 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 65.82/66.06 cut (((op2 (e22) (e22)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1d0]. % 65.82/66.06 congruence. % 65.82/66.06 cut (((op2 (e22) (op2 (e22) (e20))) = (e22)) = ((op2 (e22) (e22)) = (op2 (e22) (e20)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H1d0. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H46c. % 65.82/66.06 cut (((e22) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H14b]. % 65.82/66.06 cut (((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H470]. % 65.82/66.06 congruence. % 65.82/66.06 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ]. % 65.82/66.06 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (e22)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H470. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H4d. % 65.82/66.06 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 65.82/66.06 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H46f]. % 65.82/66.06 congruence. % 65.82/66.06 apply (zenon_L793_); trivial. % 65.82/66.06 apply zenon_H4e. apply refl_equal. % 65.82/66.06 apply zenon_H4e. apply refl_equal. % 65.82/66.06 apply zenon_H14b. apply sym_equal. exact zenon_Hc5. % 65.82/66.06 apply zenon_H4e. apply refl_equal. % 65.82/66.06 apply zenon_H4e. apply refl_equal. % 65.82/66.06 (* end of lemma zenon_L794_ *) % 65.82/66.06 assert (zenon_L795_ : (~((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e20))))) -> ((op2 (e22) (e20)) = (e23)) -> False). % 65.82/66.06 do 0 intro. intros zenon_H471 zenon_H472. % 65.82/66.06 cut (((e23) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H473]. % 65.82/66.06 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 65.82/66.06 congruence. % 65.82/66.06 apply zenon_H1a4. apply refl_equal. % 65.82/66.06 apply zenon_H473. apply sym_equal. exact zenon_H472. % 65.82/66.06 (* end of lemma zenon_L795_ *) % 65.82/66.06 assert (zenon_L796_ : ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H46c zenon_H472 zenon_H122 zenon_H33. % 65.82/66.06 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 65.82/66.06 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H33. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H158. % 65.82/66.06 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 65.82/66.06 cut (((op2 (e22) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1b5]. % 65.82/66.06 congruence. % 65.82/66.06 cut (((op2 (e22) (op2 (e22) (e20))) = (e22)) = ((op2 (e22) (e23)) = (op2 (e20) (e23)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H1b5. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H46c. % 65.82/66.06 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H125]. % 65.82/66.06 cut (((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H474]. % 65.82/66.06 congruence. % 65.82/66.06 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 65.82/66.06 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (e23)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H474. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H158. % 65.82/66.06 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 65.82/66.06 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H471]. % 65.82/66.06 congruence. % 65.82/66.06 apply (zenon_L795_); trivial. % 65.82/66.06 apply zenon_H159. apply refl_equal. % 65.82/66.06 apply zenon_H159. apply refl_equal. % 65.82/66.06 apply zenon_H125. apply sym_equal. exact zenon_H122. % 65.82/66.06 apply zenon_H159. apply refl_equal. % 65.82/66.06 apply zenon_H159. apply refl_equal. % 65.82/66.06 (* end of lemma zenon_L796_ *) % 65.82/66.06 assert (zenon_L797_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H475 zenon_H26 zenon_H29 zenon_H28 zenon_H94 zenon_H8a zenon_H1a9 zenon_H46c zenon_H122 zenon_H33. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H2a | zenon_intro zenon_H476 ]. % 65.82/66.06 apply (zenon_L5_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H16a | zenon_intro zenon_H477 ]. % 65.82/66.06 apply (zenon_L792_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H477); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H472 ]. % 65.82/66.06 apply (zenon_L794_); trivial. % 65.82/66.06 apply (zenon_L796_); trivial. % 65.82/66.06 (* end of lemma zenon_L797_ *) % 65.82/66.06 assert (zenon_L798_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> ((op2 (e22) (e23)) = (e20)) -> False). % 65.82/66.06 do 0 intro. intros zenon_H12b zenon_H19 zenon_H119 zenon_H46c zenon_H1a9 zenon_H8a zenon_H94 zenon_H28 zenon_H29 zenon_H26 zenon_H475 zenon_H33 zenon_H127 zenon_H51. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H34 | zenon_intro zenon_H12c ]. % 65.82/66.06 apply (zenon_L7_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H11a | zenon_intro zenon_H12d ]. % 65.82/66.06 apply (zenon_L72_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H122 | zenon_intro zenon_Hde ]. % 65.82/66.06 apply (zenon_L797_); trivial. % 65.82/66.06 apply (zenon_L75_); trivial. % 65.82/66.06 (* end of lemma zenon_L798_ *) % 65.82/66.06 assert (zenon_L799_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e23)) = (e22))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H6e zenon_H44 zenon_H4a zenon_H435 zenon_H96 zenon_H127 zenon_H33 zenon_H475 zenon_H29 zenon_H28 zenon_H8a zenon_H1a9 zenon_H46c zenon_H119 zenon_H12b zenon_Hd0 zenon_H19 zenon_H26 zenon_Hcd. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.82/66.06 apply (zenon_L5_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.82/66.06 apply (zenon_L12_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.82/66.06 apply (zenon_L13_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H435); [ zenon_intro zenon_H1aa | zenon_intro zenon_H436 ]. % 65.82/66.06 apply (zenon_L154_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H436); [ zenon_intro zenon_H94 | zenon_intro zenon_H437 ]. % 65.82/66.06 apply (zenon_L798_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H437); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1d9 ]. % 65.82/66.06 apply (zenon_L51_); trivial. % 65.82/66.06 exact (zenon_Hcd zenon_H1d9). % 65.82/66.06 (* end of lemma zenon_L799_ *) % 65.82/66.06 assert (zenon_L800_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H2f zenon_H6e zenon_H44 zenon_H4a zenon_H435 zenon_H96 zenon_H127 zenon_H33 zenon_H475 zenon_H29 zenon_H28 zenon_H8a zenon_H1a9 zenon_H46c zenon_H119 zenon_H12b zenon_Hd0 zenon_H19 zenon_H26. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2a. zenon_intro zenon_H32. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 65.82/66.06 apply (zenon_L799_); trivial. % 65.82/66.06 (* end of lemma zenon_L800_ *) % 65.82/66.06 assert (zenon_L801_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H6e zenon_H44 zenon_H4f zenon_H435 zenon_H96 zenon_H127 zenon_H33 zenon_H475 zenon_H29 zenon_H28 zenon_H8a zenon_H1a9 zenon_H46c zenon_H119 zenon_H12b zenon_Hd0 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.82/66.06 apply (zenon_L5_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.82/66.06 apply (zenon_L12_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.82/66.06 exact (zenon_H4f zenon_H4b). % 65.82/66.06 apply (zenon_or_s _ _ zenon_H435); [ zenon_intro zenon_H1aa | zenon_intro zenon_H436 ]. % 65.82/66.06 apply (zenon_L154_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H436); [ zenon_intro zenon_H94 | zenon_intro zenon_H437 ]. % 65.82/66.06 apply (zenon_L798_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H437); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1d9 ]. % 65.82/66.06 apply (zenon_L51_); trivial. % 65.82/66.06 apply (zenon_L199_); trivial. % 65.82/66.06 (* end of lemma zenon_L801_ *) % 65.82/66.06 assert (zenon_L802_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H7c zenon_H6e zenon_H44 zenon_H435 zenon_H96 zenon_H127 zenon_H33 zenon_H475 zenon_H29 zenon_H28 zenon_H8a zenon_H1a9 zenon_H46c zenon_H119 zenon_H12b zenon_Hd0 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7e. zenon_intro zenon_H7d. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H5d. zenon_intro zenon_H15. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.82/66.06 apply (zenon_L801_); trivial. % 65.82/66.06 (* end of lemma zenon_L802_ *) % 65.82/66.06 assert (zenon_L803_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_Hb3 zenon_H6e zenon_H44 zenon_H4a zenon_H435 zenon_H96 zenon_H127 zenon_H33 zenon_H475 zenon_H29 zenon_H28 zenon_H8a zenon_H1a9 zenon_H46c zenon_H119 zenon_H12b zenon_Hd0 zenon_H19 zenon_H26. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_H32. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 65.82/66.06 apply (zenon_L799_); trivial. % 65.82/66.06 (* end of lemma zenon_L803_ *) % 65.82/66.06 assert (zenon_L804_ : ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H46c zenon_Hc5 zenon_Hc6 zenon_H150. % 65.82/66.06 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ]. % 65.82/66.06 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H150. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H4d. % 65.82/66.06 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 65.82/66.06 cut (((op2 (e22) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H151]. % 65.82/66.06 congruence. % 65.82/66.06 cut (((op2 (e22) (op2 (e22) (e20))) = (e22)) = ((op2 (e22) (e22)) = (op2 (e20) (e22)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H151. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H46c. % 65.82/66.06 cut (((e22) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H11e]. % 65.82/66.06 cut (((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H470]. % 65.82/66.06 congruence. % 65.82/66.06 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ]. % 65.82/66.06 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (e22)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H470. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H4d. % 65.82/66.06 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 65.82/66.06 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H46f]. % 65.82/66.06 congruence. % 65.82/66.06 apply (zenon_L793_); trivial. % 65.82/66.06 apply zenon_H4e. apply refl_equal. % 65.82/66.06 apply zenon_H4e. apply refl_equal. % 65.82/66.06 apply zenon_H11e. apply sym_equal. exact zenon_Hc6. % 65.82/66.06 apply zenon_H4e. apply refl_equal. % 65.82/66.06 apply zenon_H4e. apply refl_equal. % 65.82/66.06 (* end of lemma zenon_L804_ *) % 65.82/66.06 assert (zenon_L805_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_Hc3 zenon_H46c zenon_H150. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.82/66.06 apply (zenon_L804_); trivial. % 65.82/66.06 (* end of lemma zenon_L805_ *) % 65.82/66.06 assert (zenon_L806_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_He3 zenon_H6e zenon_H44 zenon_H4a zenon_H435 zenon_H96 zenon_H127 zenon_H33 zenon_H475 zenon_H29 zenon_H28 zenon_H8a zenon_H1a9 zenon_H46c zenon_H119 zenon_H12b zenon_Hd0 zenon_H19 zenon_H26. % 65.82/66.06 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.82/66.06 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 65.82/66.06 apply (zenon_L799_); trivial. % 65.82/66.06 (* end of lemma zenon_L806_ *) % 65.82/66.06 assert (zenon_L807_ : ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H46c zenon_H472 zenon_H156 zenon_Haa. % 65.82/66.06 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 65.82/66.06 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_Haa. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H158. % 65.82/66.06 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 65.82/66.06 cut (((op2 (e22) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H15a]. % 65.82/66.06 congruence. % 65.82/66.06 cut (((op2 (e22) (op2 (e22) (e20))) = (e22)) = ((op2 (e22) (e23)) = (op2 (e21) (e23)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H15a. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H46c. % 65.82/66.06 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H157]. % 65.82/66.06 cut (((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H474]. % 65.82/66.06 congruence. % 65.82/66.06 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 65.82/66.06 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (e23)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H474. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H158. % 65.82/66.06 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 65.82/66.06 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H471]. % 65.82/66.06 congruence. % 65.82/66.06 apply (zenon_L795_); trivial. % 65.82/66.06 apply zenon_H159. apply refl_equal. % 65.82/66.06 apply zenon_H159. apply refl_equal. % 65.82/66.06 apply zenon_H157. apply sym_equal. exact zenon_H156. % 65.82/66.06 apply zenon_H159. apply refl_equal. % 65.82/66.06 apply zenon_H159. apply refl_equal. % 65.82/66.06 (* end of lemma zenon_L807_ *) % 65.82/66.06 assert (zenon_L808_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H161 zenon_Haa zenon_H46c zenon_H1a9 zenon_H8a zenon_H94 zenon_H28 zenon_H29 zenon_H26 zenon_H475 zenon_H109 zenon_H15d zenon_H19. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hab | zenon_intro zenon_H162 ]. % 65.82/66.06 apply (zenon_L39_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H163 ]. % 65.82/66.06 apply (zenon_L100_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H156 | zenon_intro zenon_He2 ]. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H2a | zenon_intro zenon_H476 ]. % 65.82/66.06 apply (zenon_L5_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H16a | zenon_intro zenon_H477 ]. % 65.82/66.06 apply (zenon_L792_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H477); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H472 ]. % 65.82/66.06 apply (zenon_L794_); trivial. % 65.82/66.06 apply (zenon_L807_); trivial. % 65.82/66.06 apply (zenon_L103_); trivial. % 65.82/66.06 (* end of lemma zenon_L808_ *) % 65.82/66.06 assert (zenon_L809_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H435 zenon_H96 zenon_H15d zenon_H109 zenon_H475 zenon_H29 zenon_H28 zenon_H8a zenon_H1a9 zenon_H46c zenon_Haa zenon_H161 zenon_Hd0 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H435); [ zenon_intro zenon_H1aa | zenon_intro zenon_H436 ]. % 65.82/66.06 apply (zenon_L154_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H436); [ zenon_intro zenon_H94 | zenon_intro zenon_H437 ]. % 65.82/66.06 apply (zenon_L808_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H437); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1d9 ]. % 65.82/66.06 apply (zenon_L51_); trivial. % 65.82/66.06 apply (zenon_L199_); trivial. % 65.82/66.06 (* end of lemma zenon_L809_ *) % 65.82/66.06 assert (zenon_L810_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> False). % 65.82/66.06 do 0 intro. intros zenon_H6e zenon_H44 zenon_H29 zenon_H4a zenon_H164 zenon_H1a9 zenon_H46c zenon_H19 zenon_H26 zenon_H8a zenon_Hce zenon_H28 zenon_H1a6. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.82/66.06 apply (zenon_L5_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.82/66.06 apply (zenon_L12_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.82/66.06 apply (zenon_L13_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H165 ]. % 65.82/66.06 apply (zenon_L794_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H8b | zenon_intro zenon_H166 ]. % 65.82/66.06 apply (zenon_L33_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hd8 ]. % 65.82/66.06 exact (zenon_Hce zenon_Hcc). % 65.82/66.06 apply (zenon_L149_); trivial. % 65.82/66.06 (* end of lemma zenon_L810_ *) % 65.82/66.06 assert (zenon_L811_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> False). % 65.82/66.06 do 0 intro. intros zenon_H2f zenon_H6e zenon_H44 zenon_H29 zenon_H4a zenon_H164 zenon_H1a9 zenon_H46c zenon_H19 zenon_H26 zenon_H8a zenon_H28 zenon_H1a6. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H2a. zenon_intro zenon_H32. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 65.82/66.06 apply (zenon_L810_); trivial. % 65.82/66.06 (* end of lemma zenon_L811_ *) % 65.82/66.06 assert (zenon_L812_ : ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H46c zenon_H472 zenon_Hcc zenon_H4a. % 65.82/66.06 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 65.82/66.06 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (e22)) = (op2 (e22) (e23)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H4a. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H158. % 65.82/66.06 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 65.82/66.06 cut (((op2 (e22) (e23)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H478]. % 65.82/66.06 congruence. % 65.82/66.06 cut (((op2 (e22) (op2 (e22) (e20))) = (e22)) = ((op2 (e22) (e23)) = (op2 (e22) (e22)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H478. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H46c. % 65.82/66.06 cut (((e22) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H152]. % 65.82/66.06 cut (((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H474]. % 65.82/66.06 congruence. % 65.82/66.06 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 65.82/66.06 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (e23)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H474. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H158. % 65.82/66.06 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 65.82/66.06 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H471]. % 65.82/66.06 congruence. % 65.82/66.06 apply (zenon_L795_); trivial. % 65.82/66.06 apply zenon_H159. apply refl_equal. % 65.82/66.06 apply zenon_H159. apply refl_equal. % 65.82/66.06 apply zenon_H152. apply sym_equal. exact zenon_Hcc. % 65.82/66.06 apply zenon_H159. apply refl_equal. % 65.82/66.06 apply zenon_H159. apply refl_equal. % 65.82/66.06 (* end of lemma zenon_L812_ *) % 65.82/66.06 assert (zenon_L813_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> False). % 65.82/66.06 do 0 intro. intros zenon_H6e zenon_H44 zenon_H4f zenon_H164 zenon_Hba zenon_H19 zenon_H26 zenon_Hd0 zenon_H475 zenon_H29 zenon_H8a zenon_H1a9 zenon_H46c zenon_H4a zenon_H96 zenon_H435 zenon_H28 zenon_H1a6. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.82/66.06 apply (zenon_L5_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.82/66.06 apply (zenon_L12_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.82/66.06 exact (zenon_H4f zenon_H4b). % 65.82/66.06 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H165 ]. % 65.82/66.06 apply (zenon_L794_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H8b | zenon_intro zenon_H166 ]. % 65.82/66.06 apply (zenon_L33_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hd8 ]. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H435); [ zenon_intro zenon_H1aa | zenon_intro zenon_H436 ]. % 65.82/66.06 apply (zenon_L154_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H436); [ zenon_intro zenon_H94 | zenon_intro zenon_H437 ]. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H2a | zenon_intro zenon_H476 ]. % 65.82/66.06 apply (zenon_L5_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H16a | zenon_intro zenon_H477 ]. % 65.82/66.06 apply (zenon_L792_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H477); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H472 ]. % 65.82/66.06 apply (zenon_L794_); trivial. % 65.82/66.06 apply (zenon_L812_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H437); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1d9 ]. % 65.82/66.06 apply (zenon_L51_); trivial. % 65.82/66.06 apply (zenon_L199_); trivial. % 65.82/66.06 apply (zenon_L149_); trivial. % 65.82/66.06 (* end of lemma zenon_L813_ *) % 65.82/66.06 assert (zenon_L814_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> False). % 65.82/66.06 do 0 intro. intros zenon_H7c zenon_H6e zenon_H44 zenon_H164 zenon_Hba zenon_H19 zenon_H26 zenon_Hd0 zenon_H475 zenon_H29 zenon_H8a zenon_H1a9 zenon_H46c zenon_H4a zenon_H96 zenon_H435 zenon_H28 zenon_H1a6. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7e. zenon_intro zenon_H7d. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H5d. zenon_intro zenon_H15. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.82/66.06 apply (zenon_L813_); trivial. % 65.82/66.06 (* end of lemma zenon_L814_ *) % 65.82/66.06 assert (zenon_L815_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> False). % 65.82/66.06 do 0 intro. intros zenon_Hb3 zenon_H6e zenon_H44 zenon_H29 zenon_H4a zenon_H164 zenon_H1a9 zenon_H46c zenon_H19 zenon_H26 zenon_H8a zenon_H28 zenon_H1a6. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_H32. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 65.82/66.06 apply (zenon_L810_); trivial. % 65.82/66.06 (* end of lemma zenon_L815_ *) % 65.82/66.06 assert (zenon_L816_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> False). % 65.82/66.06 do 0 intro. intros zenon_He3 zenon_H6e zenon_H44 zenon_H29 zenon_H4a zenon_H164 zenon_H1a9 zenon_H46c zenon_H19 zenon_H26 zenon_H8a zenon_H28 zenon_H1a6. % 65.82/66.06 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.82/66.06 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 65.82/66.06 apply (zenon_L810_); trivial. % 65.82/66.06 (* end of lemma zenon_L816_ *) % 65.82/66.06 assert (zenon_L817_ : (((op2 (e20) (op2 (e20) (e23))) = (e20))\/(((op2 (e21) (op2 (e21) (e23))) = (e21))\/(((op2 (e22) (op2 (e22) (e23))) = (e22))\/((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H1b8 zenon_H119 zenon_H12b zenon_H161 zenon_Haa zenon_H109 zenon_H6e zenon_H44 zenon_H29 zenon_H4a zenon_H164 zenon_H1a9 zenon_H46c zenon_H19 zenon_H8a zenon_H28 zenon_Hba zenon_Hd0 zenon_H475 zenon_H96 zenon_H435 zenon_H150 zenon_H33 zenon_Hf0 zenon_H193 zenon_H26. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.06 apply (zenon_L1_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.06 apply (zenon_L2_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.06 apply (zenon_L800_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.06 apply (zenon_L8_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.06 apply (zenon_L802_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.06 apply (zenon_L27_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.06 apply (zenon_L803_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.06 apply (zenon_L47_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.06 apply (zenon_L805_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.06 apply (zenon_L49_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.06 apply (zenon_L50_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.06 apply (zenon_L52_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.82/66.06 apply (zenon_L801_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.06 apply (zenon_L56_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.06 apply (zenon_L806_); trivial. % 65.82/66.06 apply (zenon_L58_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.82/66.06 apply (zenon_L809_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.82/66.06 apply (zenon_L1_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.82/66.06 apply (zenon_L2_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.82/66.06 apply (zenon_L811_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.82/66.06 apply (zenon_L8_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.82/66.06 apply (zenon_L814_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.82/66.06 apply (zenon_L27_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.82/66.06 apply (zenon_L815_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.82/66.06 apply (zenon_L47_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.82/66.06 apply (zenon_L805_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.82/66.06 apply (zenon_L49_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.82/66.06 apply (zenon_L50_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.82/66.06 apply (zenon_L52_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.82/66.06 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.82/66.06 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.82/66.06 apply (zenon_L813_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.82/66.06 apply (zenon_L56_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.82/66.06 apply (zenon_L816_); trivial. % 65.82/66.06 apply (zenon_L58_); trivial. % 65.82/66.06 apply (zenon_L163_); trivial. % 65.82/66.06 (* end of lemma zenon_L817_ *) % 65.82/66.06 assert (zenon_L818_ : (~((op2 (e23) (e23)) = (op2 (e23) (op2 (e23) (e20))))) -> ((op2 (e23) (e20)) = (e23)) -> False). % 65.82/66.06 do 0 intro. intros zenon_H479 zenon_Hda. % 65.82/66.06 cut (((e23) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H42b]. % 65.82/66.06 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 65.82/66.06 congruence. % 65.82/66.06 apply zenon_H24. apply refl_equal. % 65.82/66.06 apply zenon_H42b. apply sym_equal. exact zenon_Hda. % 65.82/66.06 (* end of lemma zenon_L818_ *) % 65.82/66.06 assert (zenon_L819_ : ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H47a zenon_Hda zenon_Hde zenon_H119. % 65.82/66.06 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1da | zenon_intro zenon_Hbc ]. % 65.82/66.06 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H119. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H1da. % 65.82/66.06 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.82/66.06 cut (((op2 (e23) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1e3]. % 65.82/66.06 congruence. % 65.82/66.06 cut (((op2 (e23) (op2 (e23) (e20))) = (e23)) = ((op2 (e23) (e23)) = (op2 (e20) (e23)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H1e3. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H47a. % 65.82/66.06 cut (((e23) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 65.82/66.06 cut (((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H47b]. % 65.82/66.06 congruence. % 65.82/66.06 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1da | zenon_intro zenon_Hbc ]. % 65.82/66.06 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (e23)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H47b. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H1da. % 65.82/66.06 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.82/66.06 cut (((op2 (e23) (e23)) = (op2 (e23) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H479]. % 65.82/66.06 congruence. % 65.82/66.06 apply (zenon_L818_); trivial. % 65.82/66.06 apply zenon_Hbc. apply refl_equal. % 65.82/66.06 apply zenon_Hbc. apply refl_equal. % 65.82/66.06 apply zenon_H12a. apply sym_equal. exact zenon_Hde. % 65.82/66.06 apply zenon_Hbc. apply refl_equal. % 65.82/66.06 apply zenon_Hbc. apply refl_equal. % 65.82/66.06 (* end of lemma zenon_L819_ *) % 65.82/66.06 assert (zenon_L820_ : ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H47a zenon_Hda zenon_He2 zenon_H109. % 65.82/66.06 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1da | zenon_intro zenon_Hbc ]. % 65.82/66.06 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H109. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H1da. % 65.82/66.06 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.82/66.06 cut (((op2 (e23) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H44c]. % 65.82/66.06 congruence. % 65.82/66.06 cut (((op2 (e23) (op2 (e23) (e20))) = (e23)) = ((op2 (e23) (e23)) = (op2 (e21) (e23)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H44c. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H47a. % 65.82/66.06 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H160]. % 65.82/66.06 cut (((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H47b]. % 65.82/66.06 congruence. % 65.82/66.06 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1da | zenon_intro zenon_Hbc ]. % 65.82/66.06 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (e23)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H47b. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H1da. % 65.82/66.06 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.82/66.06 cut (((op2 (e23) (e23)) = (op2 (e23) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H479]. % 65.82/66.06 congruence. % 65.82/66.06 apply (zenon_L818_); trivial. % 65.82/66.06 apply zenon_Hbc. apply refl_equal. % 65.82/66.06 apply zenon_Hbc. apply refl_equal. % 65.82/66.06 apply zenon_H160. apply sym_equal. exact zenon_He2. % 65.82/66.06 apply zenon_Hbc. apply refl_equal. % 65.82/66.06 apply zenon_Hbc. apply refl_equal. % 65.82/66.06 (* end of lemma zenon_L820_ *) % 65.82/66.06 assert (zenon_L821_ : ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H47a zenon_Hda zenon_He6 zenon_H17a. % 65.82/66.06 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1da | zenon_intro zenon_Hbc ]. % 65.82/66.06 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H17a. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H1da. % 65.82/66.06 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.82/66.06 cut (((op2 (e23) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1e8]. % 65.82/66.06 congruence. % 65.82/66.06 cut (((op2 (e23) (op2 (e23) (e20))) = (e23)) = ((op2 (e23) (e23)) = (op2 (e22) (e23)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H1e8. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H47a. % 65.82/66.06 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1b3]. % 65.82/66.06 cut (((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H47b]. % 65.82/66.06 congruence. % 65.82/66.06 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1da | zenon_intro zenon_Hbc ]. % 65.82/66.06 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (e23)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H47b. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H1da. % 65.82/66.06 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 65.82/66.06 cut (((op2 (e23) (e23)) = (op2 (e23) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H479]. % 65.82/66.06 congruence. % 65.82/66.06 apply (zenon_L818_); trivial. % 65.82/66.06 apply zenon_Hbc. apply refl_equal. % 65.82/66.06 apply zenon_Hbc. apply refl_equal. % 65.82/66.06 apply zenon_H1b3. apply sym_equal. exact zenon_He6. % 65.82/66.06 apply zenon_Hbc. apply refl_equal. % 65.82/66.06 apply zenon_Hbc. apply refl_equal. % 65.82/66.06 (* end of lemma zenon_L821_ *) % 65.82/66.06 assert (zenon_L822_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> False). % 65.82/66.06 do 0 intro. intros zenon_H44d zenon_H109 zenon_H17a zenon_Hda zenon_H47a zenon_H119 zenon_H26 zenon_H122. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H44e ]. % 65.82/66.06 apply (zenon_L819_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H44e); [ zenon_intro zenon_He2 | zenon_intro zenon_H44f ]. % 65.82/66.06 apply (zenon_L820_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H44f); [ zenon_intro zenon_He6 | zenon_intro zenon_He9 ]. % 65.82/66.06 apply (zenon_L821_); trivial. % 65.82/66.06 apply (zenon_L611_); trivial. % 65.82/66.06 (* end of lemma zenon_L822_ *) % 65.82/66.06 assert (zenon_L823_ : (~((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e20))))) -> ((op2 (e23) (e20)) = (e20)) -> False). % 65.82/66.06 do 0 intro. intros zenon_H47c zenon_H77. % 65.82/66.06 cut (((e20) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H78]. % 65.82/66.06 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 65.82/66.06 congruence. % 65.82/66.06 apply zenon_H24. apply refl_equal. % 65.82/66.06 apply zenon_H78. apply sym_equal. exact zenon_H77. % 65.82/66.06 (* end of lemma zenon_L823_ *) % 65.82/66.06 assert (zenon_L824_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (e21)) = (e23)) -> False). % 65.82/66.06 do 0 intro. intros zenon_H96 zenon_H47a zenon_H77 zenon_He1. % 65.82/66.06 cut (((op2 (e23) (op2 (e23) (e20))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H96. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H47a. % 65.82/66.06 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H42e]. % 65.82/66.06 cut (((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H47d]. % 65.82/66.06 congruence. % 65.82/66.06 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1ad ]. % 65.82/66.06 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (e20)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H47d. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H1ac. % 65.82/66.06 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ad]. % 65.82/66.06 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H47c]. % 65.82/66.06 congruence. % 65.82/66.06 apply (zenon_L823_); trivial. % 65.82/66.06 apply zenon_H1ad. apply refl_equal. % 65.82/66.06 apply zenon_H1ad. apply refl_equal. % 65.82/66.06 apply zenon_H42e. apply sym_equal. exact zenon_He1. % 65.82/66.06 (* end of lemma zenon_L824_ *) % 65.82/66.06 assert (zenon_L825_ : (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 65.82/66.06 do 0 intro. intros zenon_H429 zenon_H47a zenon_H77 zenon_He5. % 65.82/66.06 cut (((op2 (e23) (op2 (e23) (e20))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H429. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H47a. % 65.82/66.06 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e1]. % 65.82/66.06 cut (((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H47d]. % 65.82/66.06 congruence. % 65.82/66.06 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1ad ]. % 65.82/66.06 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (e20)))). % 65.82/66.06 intro zenon_D_pnotp. % 65.82/66.06 apply zenon_H47d. % 65.82/66.06 rewrite <- zenon_D_pnotp. % 65.82/66.06 exact zenon_H1ac. % 65.82/66.06 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ad]. % 65.82/66.06 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H47c]. % 65.82/66.06 congruence. % 65.82/66.06 apply (zenon_L823_); trivial. % 65.82/66.06 apply zenon_H1ad. apply refl_equal. % 65.82/66.06 apply zenon_H1ad. apply refl_equal. % 65.82/66.06 apply zenon_H1e1. apply sym_equal. exact zenon_He5. % 65.82/66.06 (* end of lemma zenon_L825_ *) % 65.82/66.06 assert (zenon_L826_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> False). % 65.82/66.06 do 0 intro. intros zenon_H431 zenon_H17a zenon_H109 zenon_H44d zenon_H96 zenon_H77 zenon_H47a zenon_H429 zenon_H119 zenon_H26 zenon_H122. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H431); [ zenon_intro zenon_Hda | zenon_intro zenon_H432 ]. % 65.82/66.06 apply (zenon_L822_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_He1 | zenon_intro zenon_H433 ]. % 65.82/66.06 apply (zenon_L824_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H433); [ zenon_intro zenon_He5 | zenon_intro zenon_He9 ]. % 65.82/66.06 apply (zenon_L825_); trivial. % 65.82/66.06 apply (zenon_L611_); trivial. % 65.82/66.06 (* end of lemma zenon_L826_ *) % 65.82/66.06 assert (zenon_L827_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> False). % 65.82/66.06 do 0 intro. intros zenon_H43e zenon_H429 zenon_H431 zenon_H43a zenon_H19 zenon_H96 zenon_H44d zenon_H109 zenon_H17a zenon_H47a zenon_H119 zenon_H26 zenon_H122. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H43e); [ zenon_intro zenon_H77 | zenon_intro zenon_H43f ]. % 65.82/66.06 apply (zenon_L826_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H43f); [ zenon_intro zenon_H43b | zenon_intro zenon_H440 ]. % 65.82/66.06 apply (zenon_L625_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H440); [ zenon_intro zenon_H1aa | zenon_intro zenon_Hda ]. % 65.82/66.06 apply (zenon_L154_); trivial. % 65.82/66.06 apply (zenon_L822_); trivial. % 65.82/66.06 (* end of lemma zenon_L827_ *) % 65.82/66.06 assert (zenon_L828_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H43e zenon_He1 zenon_H43a zenon_H19 zenon_H26 zenon_H96 zenon_H47a zenon_Hde zenon_H119. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H43e); [ zenon_intro zenon_H77 | zenon_intro zenon_H43f ]. % 65.82/66.06 apply (zenon_L824_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H43f); [ zenon_intro zenon_H43b | zenon_intro zenon_H440 ]. % 65.82/66.06 apply (zenon_L625_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H440); [ zenon_intro zenon_H1aa | zenon_intro zenon_Hda ]. % 65.82/66.06 apply (zenon_L154_); trivial. % 65.82/66.06 apply (zenon_L819_); trivial. % 65.82/66.06 (* end of lemma zenon_L828_ *) % 65.82/66.06 assert (zenon_L829_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H43e zenon_He5 zenon_H429 zenon_H43a zenon_H19 zenon_H26 zenon_H96 zenon_H47a zenon_Hde zenon_H119. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H43e); [ zenon_intro zenon_H77 | zenon_intro zenon_H43f ]. % 65.82/66.06 apply (zenon_L825_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H43f); [ zenon_intro zenon_H43b | zenon_intro zenon_H440 ]. % 65.82/66.06 apply (zenon_L625_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H440); [ zenon_intro zenon_H1aa | zenon_intro zenon_Hda ]. % 65.82/66.06 apply (zenon_L154_); trivial. % 65.82/66.06 apply (zenon_L819_); trivial. % 65.82/66.06 (* end of lemma zenon_L829_ *) % 65.82/66.06 assert (zenon_L830_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.82/66.06 do 0 intro. intros zenon_H431 zenon_H119 zenon_Hde zenon_H47a zenon_H96 zenon_H19 zenon_H43a zenon_H429 zenon_H43e zenon_H109 zenon_H26 zenon_H156. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H431); [ zenon_intro zenon_Hda | zenon_intro zenon_H432 ]. % 65.82/66.06 apply (zenon_L819_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_He1 | zenon_intro zenon_H433 ]. % 65.82/66.06 apply (zenon_L828_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H433); [ zenon_intro zenon_He5 | zenon_intro zenon_He9 ]. % 65.82/66.06 apply (zenon_L829_); trivial. % 65.82/66.06 apply (zenon_L613_); trivial. % 65.82/66.06 (* end of lemma zenon_L830_ *) % 65.82/66.06 assert (zenon_L831_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> False). % 65.82/66.06 do 0 intro. intros zenon_H431 zenon_H119 zenon_Hde zenon_H47a zenon_H96 zenon_H19 zenon_H43a zenon_H429 zenon_H43e zenon_H17a zenon_H26 zenon_Hd8. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H431); [ zenon_intro zenon_Hda | zenon_intro zenon_H432 ]. % 65.82/66.06 apply (zenon_L819_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_He1 | zenon_intro zenon_H433 ]. % 65.82/66.06 apply (zenon_L828_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H433); [ zenon_intro zenon_He5 | zenon_intro zenon_He9 ]. % 65.82/66.06 apply (zenon_L829_); trivial. % 65.82/66.06 apply (zenon_L615_); trivial. % 65.82/66.06 (* end of lemma zenon_L831_ *) % 65.82/66.06 assert (zenon_L832_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H1dd zenon_H44d zenon_H109 zenon_H17a zenon_H43e zenon_H429 zenon_H43a zenon_H96 zenon_H47a zenon_Hde zenon_H119 zenon_H431 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H122 | zenon_intro zenon_H1de ]. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H431); [ zenon_intro zenon_Hda | zenon_intro zenon_H432 ]. % 65.82/66.06 apply (zenon_L822_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_He1 | zenon_intro zenon_H433 ]. % 65.82/66.06 apply (zenon_L828_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H433); [ zenon_intro zenon_He5 | zenon_intro zenon_He9 ]. % 65.82/66.06 apply (zenon_L829_); trivial. % 65.82/66.06 apply (zenon_L611_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H156 | zenon_intro zenon_H1df ]. % 65.82/66.06 apply (zenon_L830_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1d9 ]. % 65.82/66.06 apply (zenon_L831_); trivial. % 65.82/66.06 apply (zenon_L199_); trivial. % 65.82/66.06 (* end of lemma zenon_L832_ *) % 65.82/66.06 assert (zenon_L833_ : (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.82/66.06 do 0 intro. intros zenon_Hba zenon_H19 zenon_H431 zenon_H119 zenon_H96 zenon_H43a zenon_H429 zenon_H43e zenon_H44d zenon_H1dd zenon_H17a zenon_Hda zenon_H47a zenon_H109 zenon_H26 zenon_H156. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H44e ]. % 65.82/66.06 apply (zenon_L832_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H44e); [ zenon_intro zenon_He2 | zenon_intro zenon_H44f ]. % 65.82/66.06 apply (zenon_L820_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H44f); [ zenon_intro zenon_He6 | zenon_intro zenon_He9 ]. % 65.82/66.06 apply (zenon_L821_); trivial. % 65.82/66.06 apply (zenon_L613_); trivial. % 65.82/66.06 (* end of lemma zenon_L833_ *) % 65.82/66.06 assert (zenon_L834_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False). % 65.82/66.06 do 0 intro. intros zenon_H12b zenon_H29 zenon_H33 zenon_H17a zenon_H109 zenon_H44d zenon_H431 zenon_H429 zenon_H43e zenon_He1 zenon_H43a zenon_H19 zenon_H26 zenon_H96 zenon_H47a zenon_H119. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H34 | zenon_intro zenon_H12c ]. % 65.82/66.06 apply (zenon_L7_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H11a | zenon_intro zenon_H12d ]. % 65.82/66.06 apply (zenon_L72_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H122 | zenon_intro zenon_Hde ]. % 65.82/66.06 apply (zenon_L827_); trivial. % 65.82/66.06 apply (zenon_L828_); trivial. % 65.82/66.06 (* end of lemma zenon_L834_ *) % 65.82/66.06 assert (zenon_L835_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.82/66.06 do 0 intro. intros zenon_H431 zenon_H77 zenon_H119 zenon_Hde zenon_H47a zenon_H96 zenon_H19 zenon_H43a zenon_H429 zenon_H43e zenon_H109 zenon_H26 zenon_H156. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H431); [ zenon_intro zenon_Hda | zenon_intro zenon_H432 ]. % 65.82/66.06 apply (zenon_L819_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_He1 | zenon_intro zenon_H433 ]. % 65.82/66.06 apply (zenon_L824_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H433); [ zenon_intro zenon_He5 | zenon_intro zenon_He9 ]. % 65.82/66.06 apply (zenon_L829_); trivial. % 65.82/66.06 apply (zenon_L613_); trivial. % 65.82/66.06 (* end of lemma zenon_L835_ *) % 65.82/66.06 assert (zenon_L836_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e20)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.82/66.06 do 0 intro. intros zenon_H44d zenon_H43e zenon_H429 zenon_H43a zenon_H19 zenon_H96 zenon_H119 zenon_H77 zenon_H431 zenon_H17a zenon_Hda zenon_H47a zenon_H109 zenon_H26 zenon_H156. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H44e ]. % 65.82/66.06 apply (zenon_L835_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H44e); [ zenon_intro zenon_He2 | zenon_intro zenon_H44f ]. % 65.82/66.06 apply (zenon_L820_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H44f); [ zenon_intro zenon_He6 | zenon_intro zenon_He9 ]. % 65.82/66.06 apply (zenon_L821_); trivial. % 65.82/66.06 apply (zenon_L613_); trivial. % 65.82/66.06 (* end of lemma zenon_L836_ *) % 65.82/66.06 assert (zenon_L837_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> False). % 65.82/66.06 do 0 intro. intros zenon_H431 zenon_H119 zenon_Hde zenon_H96 zenon_H19 zenon_H43a zenon_H43e zenon_H77 zenon_H47a zenon_H429 zenon_H17a zenon_H26 zenon_Hd8. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H431); [ zenon_intro zenon_Hda | zenon_intro zenon_H432 ]. % 65.82/66.06 apply (zenon_L819_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_He1 | zenon_intro zenon_H433 ]. % 65.82/66.06 apply (zenon_L828_); trivial. % 65.82/66.06 apply (zenon_or_s _ _ zenon_H433); [ zenon_intro zenon_He5 | zenon_intro zenon_He9 ]. % 65.82/66.06 apply (zenon_L825_); trivial. % 65.82/66.06 apply (zenon_L615_); trivial. % 65.82/66.06 (* end of lemma zenon_L837_ *) % 65.82/66.06 assert (zenon_L838_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> False). % 65.82/66.07 do 0 intro. intros zenon_H44d zenon_H429 zenon_H77 zenon_H43e zenon_H43a zenon_H19 zenon_H96 zenon_H119 zenon_H431 zenon_H109 zenon_Hda zenon_H47a zenon_H17a zenon_H26 zenon_Hd8. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H44e ]. % 65.82/66.07 apply (zenon_L837_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H44e); [ zenon_intro zenon_He2 | zenon_intro zenon_H44f ]. % 65.82/66.07 apply (zenon_L820_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H44f); [ zenon_intro zenon_He6 | zenon_intro zenon_He9 ]. % 65.82/66.07 apply (zenon_L821_); trivial. % 65.82/66.07 apply (zenon_L615_); trivial. % 65.82/66.07 (* end of lemma zenon_L838_ *) % 65.82/66.07 assert (zenon_L839_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.07 do 0 intro. intros zenon_H1dd zenon_H17a zenon_H47a zenon_Hda zenon_H109 zenon_H431 zenon_H119 zenon_H96 zenon_H43a zenon_H43e zenon_H77 zenon_H429 zenon_H44d zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H122 | zenon_intro zenon_H1de ]. % 65.82/66.07 apply (zenon_L822_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H156 | zenon_intro zenon_H1df ]. % 65.82/66.07 apply (zenon_L836_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1d9 ]. % 65.82/66.07 apply (zenon_L838_); trivial. % 65.82/66.07 apply (zenon_L199_); trivial. % 65.82/66.07 (* end of lemma zenon_L839_ *) % 65.82/66.07 assert (zenon_L840_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 65.82/66.07 do 0 intro. intros zenon_H43e zenon_He1 zenon_H43a zenon_H19 zenon_H26 zenon_H96 zenon_H47a zenon_He2 zenon_H109. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H43e); [ zenon_intro zenon_H77 | zenon_intro zenon_H43f ]. % 65.82/66.07 apply (zenon_L824_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H43f); [ zenon_intro zenon_H43b | zenon_intro zenon_H440 ]. % 65.82/66.07 apply (zenon_L625_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H440); [ zenon_intro zenon_H1aa | zenon_intro zenon_Hda ]. % 65.82/66.07 apply (zenon_L154_); trivial. % 65.82/66.07 apply (zenon_L820_); trivial. % 65.82/66.07 (* end of lemma zenon_L840_ *) % 65.82/66.07 assert (zenon_L841_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.82/66.07 do 0 intro. intros zenon_H431 zenon_He2 zenon_H96 zenon_H19 zenon_H43a zenon_H43e zenon_H77 zenon_H47a zenon_H429 zenon_H109 zenon_H26 zenon_H156. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H431); [ zenon_intro zenon_Hda | zenon_intro zenon_H432 ]. % 65.82/66.07 apply (zenon_L820_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_He1 | zenon_intro zenon_H433 ]. % 65.82/66.07 apply (zenon_L840_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H433); [ zenon_intro zenon_He5 | zenon_intro zenon_He9 ]. % 65.82/66.07 apply (zenon_L825_); trivial. % 65.82/66.07 apply (zenon_L613_); trivial. % 65.82/66.07 (* end of lemma zenon_L841_ *) % 65.82/66.07 assert (zenon_L842_ : (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> False). % 65.82/66.07 do 0 intro. intros zenon_H109 zenon_H431 zenon_H119 zenon_H19 zenon_H43a zenon_H43e zenon_H44d zenon_H96 zenon_H77 zenon_H47a zenon_H429 zenon_H17a zenon_H26 zenon_Hd8. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H431); [ zenon_intro zenon_Hda | zenon_intro zenon_H432 ]. % 65.82/66.07 apply (zenon_L838_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_He1 | zenon_intro zenon_H433 ]. % 65.82/66.07 apply (zenon_L824_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H433); [ zenon_intro zenon_He5 | zenon_intro zenon_He9 ]. % 65.82/66.07 apply (zenon_L825_); trivial. % 65.82/66.07 apply (zenon_L615_); trivial. % 65.82/66.07 (* end of lemma zenon_L842_ *) % 65.82/66.07 assert (zenon_L843_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.07 do 0 intro. intros zenon_H1dd zenon_He2 zenon_H17a zenon_H429 zenon_H47a zenon_H77 zenon_H96 zenon_H44d zenon_H43e zenon_H43a zenon_H119 zenon_H431 zenon_H109 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H122 | zenon_intro zenon_H1de ]. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H431); [ zenon_intro zenon_Hda | zenon_intro zenon_H432 ]. % 65.82/66.07 apply (zenon_L839_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_He1 | zenon_intro zenon_H433 ]. % 65.82/66.07 apply (zenon_L840_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H433); [ zenon_intro zenon_He5 | zenon_intro zenon_He9 ]. % 65.82/66.07 apply (zenon_L825_); trivial. % 65.82/66.07 apply (zenon_L611_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H156 | zenon_intro zenon_H1df ]. % 65.82/66.07 apply (zenon_L841_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1d9 ]. % 65.82/66.07 apply (zenon_L842_); trivial. % 65.82/66.07 apply (zenon_L199_); trivial. % 65.82/66.07 (* end of lemma zenon_L843_ *) % 65.82/66.07 assert (zenon_L844_ : (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 65.82/66.07 do 0 intro. intros zenon_Hba zenon_H431 zenon_H119 zenon_H43e zenon_H44d zenon_H429 zenon_H17a zenon_H1dd zenon_H43a zenon_H19 zenon_H26 zenon_H96 zenon_H47a zenon_He2 zenon_H109. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H43e); [ zenon_intro zenon_H77 | zenon_intro zenon_H43f ]. % 65.82/66.07 apply (zenon_L843_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H43f); [ zenon_intro zenon_H43b | zenon_intro zenon_H440 ]. % 65.82/66.07 apply (zenon_L625_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H440); [ zenon_intro zenon_H1aa | zenon_intro zenon_Hda ]. % 65.82/66.07 apply (zenon_L154_); trivial. % 65.82/66.07 apply (zenon_L820_); trivial. % 65.82/66.07 (* end of lemma zenon_L844_ *) % 65.82/66.07 assert (zenon_L845_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False). % 65.82/66.07 do 0 intro. intros zenon_H43e zenon_He5 zenon_H429 zenon_H43a zenon_H19 zenon_H26 zenon_H96 zenon_H47a zenon_He6 zenon_H17a. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H43e); [ zenon_intro zenon_H77 | zenon_intro zenon_H43f ]. % 65.82/66.07 apply (zenon_L825_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H43f); [ zenon_intro zenon_H43b | zenon_intro zenon_H440 ]. % 65.82/66.07 apply (zenon_L625_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H440); [ zenon_intro zenon_H1aa | zenon_intro zenon_Hda ]. % 65.82/66.07 apply (zenon_L154_); trivial. % 65.82/66.07 apply (zenon_L821_); trivial. % 65.82/66.07 (* end of lemma zenon_L845_ *) % 65.82/66.07 assert (zenon_L846_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.82/66.07 do 0 intro. intros zenon_H33 zenon_H29 zenon_H12b zenon_H43e zenon_H429 zenon_H43a zenon_H19 zenon_H96 zenon_H47a zenon_H17a zenon_Hba zenon_H431 zenon_H119 zenon_H44d zenon_H1dd zenon_H109 zenon_H26 zenon_H156. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H431); [ zenon_intro zenon_Hda | zenon_intro zenon_H432 ]. % 65.82/66.07 apply (zenon_L833_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_He1 | zenon_intro zenon_H433 ]. % 65.82/66.07 apply (zenon_L834_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H433); [ zenon_intro zenon_He5 | zenon_intro zenon_He9 ]. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H44e ]. % 65.82/66.07 apply (zenon_L829_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H44e); [ zenon_intro zenon_He2 | zenon_intro zenon_H44f ]. % 65.82/66.07 apply (zenon_L844_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H44f); [ zenon_intro zenon_He6 | zenon_intro zenon_He9 ]. % 65.82/66.07 apply (zenon_L845_); trivial. % 65.82/66.07 apply (zenon_L613_); trivial. % 65.82/66.07 apply (zenon_L613_); trivial. % 65.82/66.07 (* end of lemma zenon_L846_ *) % 65.82/66.07 assert (zenon_L847_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> False). % 65.82/66.07 do 0 intro. intros zenon_H44d zenon_H43e zenon_H429 zenon_H43a zenon_H19 zenon_H96 zenon_H119 zenon_H431 zenon_H109 zenon_Hda zenon_H47a zenon_H17a zenon_H26 zenon_Hd8. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H44e ]. % 65.82/66.07 apply (zenon_L831_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H44e); [ zenon_intro zenon_He2 | zenon_intro zenon_H44f ]. % 65.82/66.07 apply (zenon_L820_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H44f); [ zenon_intro zenon_He6 | zenon_intro zenon_He9 ]. % 65.82/66.07 apply (zenon_L821_); trivial. % 65.82/66.07 apply (zenon_L615_); trivial. % 65.82/66.07 (* end of lemma zenon_L847_ *) % 65.82/66.07 assert (zenon_L848_ : (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (op2 (e23) (e20))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 65.82/66.07 do 0 intro. intros zenon_H17a zenon_H109 zenon_H1dd zenon_H44d zenon_H119 zenon_H431 zenon_H47a zenon_H96 zenon_H43a zenon_H429 zenon_H43e zenon_H12b zenon_H29 zenon_H33 zenon_H26 zenon_H19 zenon_Hba. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H122 | zenon_intro zenon_H1de ]. % 65.82/66.07 apply (zenon_L827_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H156 | zenon_intro zenon_H1df ]. % 65.82/66.07 apply (zenon_L846_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1d9 ]. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H431); [ zenon_intro zenon_Hda | zenon_intro zenon_H432 ]. % 65.82/66.07 apply (zenon_L847_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_He1 | zenon_intro zenon_H433 ]. % 65.82/66.07 apply (zenon_L834_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H433); [ zenon_intro zenon_He5 | zenon_intro zenon_He9 ]. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H44e ]. % 65.82/66.07 apply (zenon_L829_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H44e); [ zenon_intro zenon_He2 | zenon_intro zenon_H44f ]. % 65.82/66.07 apply (zenon_L844_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H44f); [ zenon_intro zenon_He6 | zenon_intro zenon_He9 ]. % 65.82/66.07 apply (zenon_L845_); trivial. % 65.82/66.07 apply (zenon_L615_); trivial. % 65.82/66.07 apply (zenon_L615_); trivial. % 65.82/66.07 apply (zenon_L199_); trivial. % 65.82/66.07 (* end of lemma zenon_L848_ *) % 65.82/66.07 assert (zenon_L849_ : (~((h4 (e11)) = (e21))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.07 do 0 intro. intros zenon_H47e zenon_H39a zenon_H19. % 65.82/66.07 cut (((h4 (e11)) = (op2 (e23) (e23))) = ((h4 (e11)) = (e21))). % 65.82/66.07 intro zenon_D_pnotp. % 65.82/66.07 apply zenon_H47e. % 65.82/66.07 rewrite <- zenon_D_pnotp. % 65.82/66.07 exact zenon_H39a. % 65.82/66.07 cut (((op2 (e23) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 65.82/66.07 cut (((h4 (e11)) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H47f]. % 65.82/66.07 congruence. % 65.82/66.07 apply zenon_H47f. apply refl_equal. % 65.82/66.07 apply zenon_H22. apply sym_equal. exact zenon_H19. % 65.82/66.07 (* end of lemma zenon_L849_ *) % 65.82/66.07 assert (zenon_L850_ : (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> ((op1 (e10) (e11)) = (e10)) -> ((op2 (e20) (e21)) = (e20)) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.82/66.07 do 0 intro. intros zenon_H480 zenon_H202 zenon_H1b zenon_H396 zenon_H29 zenon_H39a zenon_H19. % 65.82/66.07 cut (((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))). % 65.82/66.07 intro zenon_D_pnotp. % 65.82/66.07 apply zenon_H480. % 65.82/66.07 rewrite <- zenon_D_pnotp. % 65.82/66.07 exact zenon_H396. % 65.82/66.07 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (h4 (e10)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H481]. % 65.82/66.07 cut (((h4 (e10)) = (h4 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H482]. % 65.82/66.07 congruence. % 65.82/66.07 elim (classic ((h4 (op1 (e10) (e11))) = (h4 (op1 (e10) (e11))))); [ zenon_intro zenon_H483 | zenon_intro zenon_H484 ]. % 65.82/66.07 cut (((h4 (op1 (e10) (e11))) = (h4 (op1 (e10) (e11)))) = ((h4 (e10)) = (h4 (op1 (e10) (e11))))). % 65.82/66.07 intro zenon_D_pnotp. % 65.82/66.07 apply zenon_H482. % 65.82/66.07 rewrite <- zenon_D_pnotp. % 65.82/66.07 exact zenon_H483. % 65.82/66.07 cut (((h4 (op1 (e10) (e11))) = (h4 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H484]. % 65.82/66.07 cut (((h4 (op1 (e10) (e11))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H485]. % 65.82/66.07 congruence. % 65.82/66.07 cut (((op1 (e10) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H486]. % 65.82/66.07 congruence. % 65.82/66.07 exact (zenon_H486 zenon_H202). % 65.82/66.07 apply zenon_H484. apply refl_equal. % 65.82/66.07 apply zenon_H484. apply refl_equal. % 65.82/66.07 elim (classic ((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11))))); [ zenon_intro zenon_H487 | zenon_intro zenon_H488 ]. % 65.82/66.07 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11)))) = ((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (h4 (e10)) (h4 (e11))))). % 65.82/66.07 intro zenon_D_pnotp. % 65.82/66.07 apply zenon_H481. % 65.82/66.07 rewrite <- zenon_D_pnotp. % 65.82/66.07 exact zenon_H487. % 65.82/66.07 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H488]. % 65.82/66.07 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H489]. % 65.82/66.07 congruence. % 65.82/66.07 cut (((op2 (e20) (e21)) = (e20)) = ((op2 (h4 (e10)) (h4 (e11))) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))). % 65.82/66.07 intro zenon_D_pnotp. % 65.82/66.07 apply zenon_H489. % 65.82/66.07 rewrite <- zenon_D_pnotp. % 65.82/66.07 exact zenon_H1b. % 65.82/66.07 cut (((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H48a]. % 65.82/66.07 cut (((op2 (e20) (e21)) = (op2 (h4 (e10)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H48b]. % 65.82/66.07 congruence. % 65.82/66.07 elim (classic ((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11))))); [ zenon_intro zenon_H487 | zenon_intro zenon_H488 ]. % 65.82/66.07 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11)))) = ((op2 (e20) (e21)) = (op2 (h4 (e10)) (h4 (e11))))). % 65.82/66.07 intro zenon_D_pnotp. % 65.82/66.07 apply zenon_H48b. % 65.82/66.07 rewrite <- zenon_D_pnotp. % 65.82/66.07 exact zenon_H487. % 65.82/66.07 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H488]. % 65.82/66.07 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H48c]. % 65.82/66.07 congruence. % 65.82/66.07 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H47e]. % 65.82/66.07 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H395]. % 65.82/66.07 congruence. % 65.82/66.07 apply (zenon_L395_); trivial. % 65.82/66.07 apply (zenon_L849_); trivial. % 65.82/66.07 apply zenon_H488. apply refl_equal. % 65.82/66.07 apply zenon_H488. apply refl_equal. % 65.82/66.07 exact (zenon_H48a zenon_H29). % 65.82/66.07 apply zenon_H488. apply refl_equal. % 65.82/66.07 apply zenon_H488. apply refl_equal. % 65.82/66.07 (* end of lemma zenon_L850_ *) % 65.82/66.07 assert (zenon_L851_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e20) (e21)) = (e20)) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((e11) = (e12))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.82/66.07 do 0 intro. intros zenon_H2b3 zenon_H232 zenon_H19 zenon_H39a zenon_H29 zenon_H396 zenon_H1b zenon_H480 zenon_H219 zenon_H27d zenon_H2a9 zenon_H2aa zenon_H25a zenon_H25b zenon_H20c zenon_H24e zenon_H252 zenon_H249 zenon_H284 zenon_H285 zenon_H2af zenon_H21e zenon_H1ee zenon_H1eb. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.82/66.07 exact (zenon_H232 zenon_H22f). % 65.82/66.07 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.82/66.07 apply (zenon_L850_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.82/66.07 apply (zenon_L261_); trivial. % 65.82/66.07 apply (zenon_L231_); trivial. % 65.82/66.07 (* end of lemma zenon_L851_ *) % 65.82/66.07 assert (zenon_L852_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e20) (e21)) = (e20)) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.82/66.07 do 0 intro. intros zenon_H2b3 zenon_H19 zenon_H39a zenon_H29 zenon_H396 zenon_H1b zenon_H480 zenon_H285 zenon_H3aa zenon_H29e zenon_H360 zenon_H2c6 zenon_H219 zenon_H3a7 zenon_H2a4 zenon_H27d zenon_H284 zenon_H232 zenon_H293 zenon_H1ff zenon_H1f4 zenon_H1ed zenon_H227 zenon_H21e zenon_H1ee zenon_H1eb. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.82/66.07 exact (zenon_H232 zenon_H22f). % 65.82/66.07 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.82/66.07 apply (zenon_L850_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.82/66.07 apply (zenon_L402_); trivial. % 65.82/66.07 apply (zenon_L231_); trivial. % 65.82/66.07 (* end of lemma zenon_L852_ *) % 65.82/66.07 assert (zenon_L853_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))\/(((op1 (e11) (op1 (e11) (e10))) = (e11))\/(((op1 (e12) (op1 (e12) (e10))) = (e12))\/((op1 (e13) (op1 (e13) (e10))) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (op1 (e10) (e12))) = (e10))\/(((op1 (e11) (op1 (e11) (e12))) = (e11))\/(((op1 (e12) (op1 (e12) (e12))) = (e12))\/((op1 (e13) (op1 (e13) (e12))) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (op1 (e10) (e11))) = (e10))\/(((op1 (e11) (op1 (e11) (e11))) = (e11))\/(((op1 (e12) (op1 (e12) (e11))) = (e12))\/((op1 (e13) (op1 (e13) (e11))) = (e13))))) -> (~((e12) = (e13))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.82/66.07 do 0 intro. intros zenon_H48d zenon_H2a1 zenon_H2eb zenon_H2b3 zenon_H3c1 zenon_H293 zenon_H284 zenon_H329 zenon_H37f zenon_H2df zenon_H300 zenon_H2af zenon_H3f0 zenon_H3d0 zenon_H328 zenon_H382 zenon_H369 zenon_H348 zenon_H303 zenon_H2d8 zenon_H354 zenon_H2aa zenon_H26 zenon_H29 zenon_H33 zenon_H1af zenon_H1a9 zenon_H164 zenon_H14c zenon_H1a6 zenon_H8f zenon_H16b zenon_H13c zenon_H17 zenon_H142 zenon_H4f zenon_H44 zenon_H28 zenon_H6e zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_H96 zenon_H19 zenon_H39a zenon_H396 zenon_H480 zenon_H3aa zenon_H197 zenon_H3c7 zenon_H3c4 zenon_H29e zenon_H3cd zenon_H2ef zenon_H3d1 zenon_H364 zenon_H299 zenon_H360 zenon_H2e8 zenon_H372 zenon_H26b zenon_H2f7 zenon_H367 zenon_H265 zenon_H401 zenon_H2f4 zenon_H3ef zenon_H3b4 zenon_H24e zenon_H25a zenon_H228 zenon_H20c zenon_H204 zenon_H215 zenon_H212 zenon_H404 zenon_H30f zenon_H32c zenon_H3e3 zenon_H392 zenon_H414 zenon_H2c6 zenon_H1ed zenon_H320 zenon_H342 zenon_H347 zenon_H1fa zenon_H1f4 zenon_H227 zenon_H2e4 zenon_H31d zenon_H35d zenon_H40d zenon_H353 zenon_H36e zenon_H252 zenon_H3b8 zenon_H3ea zenon_H27d zenon_H3db zenon_H38a zenon_H2fa zenon_H3cb zenon_H3d6 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H1eb zenon_H219 zenon_H272. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.82/66.07 apply (zenon_L227_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.82/66.07 apply (zenon_L329_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.82/66.07 apply (zenon_L378_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.82/66.07 apply (zenon_L394_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.82/66.07 apply (zenon_L228_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.82/66.07 apply (zenon_L229_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.82/66.07 apply (zenon_L230_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.82/66.07 apply (zenon_L232_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.82/66.07 apply (zenon_L239_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.82/66.07 apply (zenon_L240_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.82/66.07 apply (zenon_L245_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.82/66.07 apply (zenon_L247_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.82/66.07 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.82/66.07 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.82/66.07 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.82/66.07 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.82/66.07 exact (zenon_H17 zenon_H14). % 65.82/66.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.82/66.07 apply (zenon_L851_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.82/66.07 apply (zenon_L155_); trivial. % 65.82/66.07 apply (zenon_L7_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.82/66.07 apply (zenon_L263_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.82/66.07 apply (zenon_L264_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.82/66.07 apply (zenon_L266_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.82/66.07 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.82/66.07 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.82/66.07 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.82/66.07 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.82/66.07 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.82/66.07 exact (zenon_H17 zenon_H14). % 65.82/66.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.82/66.07 apply (zenon_L852_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.82/66.07 apply (zenon_L155_); trivial. % 65.82/66.07 apply (zenon_L7_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.82/66.07 apply (zenon_L269_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.82/66.07 apply (zenon_L405_); trivial. % 65.82/66.07 apply (zenon_L301_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.82/66.07 apply (zenon_L415_); trivial. % 65.82/66.07 apply (zenon_L485_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.82/66.07 apply (zenon_L529_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.82/66.07 apply (zenon_L559_); trivial. % 65.82/66.07 apply (zenon_L587_); trivial. % 65.82/66.07 (* end of lemma zenon_L853_ *) % 65.82/66.07 assert (zenon_L854_ : (~((h4 (e12)) = (e22))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.07 do 0 intro. intros zenon_H490 zenon_H491 zenon_H26. % 65.82/66.07 cut (((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) = ((h4 (e12)) = (e22))). % 65.82/66.07 intro zenon_D_pnotp. % 65.82/66.07 apply zenon_H490. % 65.82/66.07 rewrite <- zenon_D_pnotp. % 65.82/66.07 exact zenon_H491. % 65.82/66.07 cut (((op2 (e23) (op2 (e23) (e23))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 65.82/66.07 cut (((h4 (e12)) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H492]. % 65.82/66.07 congruence. % 65.82/66.07 apply zenon_H492. apply refl_equal. % 65.82/66.07 apply zenon_H27. apply sym_equal. exact zenon_H26. % 65.82/66.07 (* end of lemma zenon_L854_ *) % 65.82/66.07 assert (zenon_L855_ : (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((op1 (e10) (e12)) = (e12)) -> ((op2 (e20) (e22)) = (e22)) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.82/66.07 do 0 intro. intros zenon_H493 zenon_H2a9 zenon_Hc6 zenon_H396 zenon_H29 zenon_H491 zenon_H26. % 65.82/66.07 cut (((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) = ((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))). % 65.82/66.07 intro zenon_D_pnotp. % 65.82/66.07 apply zenon_H493. % 65.82/66.07 rewrite <- zenon_D_pnotp. % 65.82/66.07 exact zenon_H491. % 65.82/66.07 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (h4 (e10)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H494]. % 65.82/66.07 cut (((h4 (e12)) = (h4 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H495]. % 65.82/66.07 congruence. % 65.82/66.07 elim (classic ((h4 (op1 (e10) (e12))) = (h4 (op1 (e10) (e12))))); [ zenon_intro zenon_H496 | zenon_intro zenon_H497 ]. % 65.82/66.07 cut (((h4 (op1 (e10) (e12))) = (h4 (op1 (e10) (e12)))) = ((h4 (e12)) = (h4 (op1 (e10) (e12))))). % 65.82/66.07 intro zenon_D_pnotp. % 65.82/66.07 apply zenon_H495. % 65.82/66.07 rewrite <- zenon_D_pnotp. % 65.82/66.07 exact zenon_H496. % 65.82/66.07 cut (((h4 (op1 (e10) (e12))) = (h4 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H497]. % 65.82/66.07 cut (((h4 (op1 (e10) (e12))) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H498]. % 65.82/66.07 congruence. % 65.82/66.07 cut (((op1 (e10) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2ae]. % 65.82/66.07 congruence. % 65.82/66.07 exact (zenon_H2ae zenon_H2a9). % 65.82/66.07 apply zenon_H497. apply refl_equal. % 65.82/66.07 apply zenon_H497. apply refl_equal. % 65.82/66.07 elim (classic ((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12))))); [ zenon_intro zenon_H499 | zenon_intro zenon_H49a ]. % 65.82/66.07 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12)))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (h4 (e10)) (h4 (e12))))). % 65.82/66.07 intro zenon_D_pnotp. % 65.82/66.07 apply zenon_H494. % 65.82/66.07 rewrite <- zenon_D_pnotp. % 65.82/66.07 exact zenon_H499. % 65.82/66.07 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H49a]. % 65.82/66.07 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H49b]. % 65.82/66.07 congruence. % 65.82/66.07 cut (((op2 (e20) (e22)) = (e22)) = ((op2 (h4 (e10)) (h4 (e12))) = (op2 (e23) (op2 (e23) (e23))))). % 65.82/66.07 intro zenon_D_pnotp. % 65.82/66.07 apply zenon_H49b. % 65.82/66.07 rewrite <- zenon_D_pnotp. % 65.82/66.07 exact zenon_Hc6. % 65.82/66.07 cut (((e22) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H49c]. % 65.82/66.07 cut (((op2 (e20) (e22)) = (op2 (h4 (e10)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H49d]. % 65.82/66.07 congruence. % 65.82/66.07 elim (classic ((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12))))); [ zenon_intro zenon_H499 | zenon_intro zenon_H49a ]. % 65.82/66.07 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12)))) = ((op2 (e20) (e22)) = (op2 (h4 (e10)) (h4 (e12))))). % 65.82/66.07 intro zenon_D_pnotp. % 65.82/66.07 apply zenon_H49d. % 65.82/66.07 rewrite <- zenon_D_pnotp. % 65.82/66.07 exact zenon_H499. % 65.82/66.07 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H49a]. % 65.82/66.07 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H49e]. % 65.82/66.07 congruence. % 65.82/66.07 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H490]. % 65.82/66.07 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H395]. % 65.82/66.07 congruence. % 65.82/66.07 apply (zenon_L395_); trivial. % 65.82/66.07 apply (zenon_L854_); trivial. % 65.82/66.07 apply zenon_H49a. apply refl_equal. % 65.82/66.07 apply zenon_H49a. apply refl_equal. % 65.82/66.07 exact (zenon_H49c zenon_H26). % 65.82/66.07 apply zenon_H49a. apply refl_equal. % 65.82/66.07 apply zenon_H49a. apply refl_equal. % 65.82/66.07 (* end of lemma zenon_L855_ *) % 65.82/66.07 assert (zenon_L856_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e20) (e22)) = (e22)) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e13)) = (e13)) -> False). % 65.82/66.07 do 0 intro. intros zenon_H2eb zenon_H27d zenon_H3a7 zenon_H2c6 zenon_H360 zenon_H29e zenon_H285 zenon_H3aa zenon_H219 zenon_H1eb zenon_H212 zenon_H26 zenon_H491 zenon_H29 zenon_H396 zenon_Hc6 zenon_H493 zenon_H30f zenon_H2a4. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.82/66.07 apply (zenon_L401_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.82/66.07 apply (zenon_L225_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.82/66.07 apply (zenon_L855_); trivial. % 65.82/66.07 apply (zenon_L304_); trivial. % 65.82/66.07 (* end of lemma zenon_L856_ *) % 65.82/66.07 assert (zenon_L857_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op1 (e10) (op1 (e10) (e10))) = (e10))\/(((op1 (e11) (op1 (e11) (e10))) = (e11))\/(((op1 (e12) (op1 (e12) (e10))) = (e12))\/((op1 (e13) (op1 (e13) (e10))) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (op1 (e10) (e12))) = (e10))\/(((op1 (e11) (op1 (e11) (e12))) = (e11))\/(((op1 (e12) (op1 (e12) (e12))) = (e12))\/((op1 (e13) (op1 (e13) (e12))) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (op1 (e10) (e11))) = (e10))\/(((op1 (e11) (op1 (e11) (e11))) = (e11))\/(((op1 (e12) (op1 (e12) (e11))) = (e12))\/((op1 (e13) (op1 (e13) (e11))) = (e13))))) -> (~((e12) = (e13))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.82/66.07 do 0 intro. intros zenon_Hc3 zenon_H48d zenon_H2a1 zenon_H2eb zenon_H2b3 zenon_H3c1 zenon_H293 zenon_H284 zenon_H329 zenon_H37f zenon_H2df zenon_H300 zenon_H2af zenon_H3f0 zenon_H3d0 zenon_H328 zenon_H382 zenon_H369 zenon_H348 zenon_H2aa zenon_H303 zenon_H2d8 zenon_H354 zenon_H493 zenon_H396 zenon_H29 zenon_H491 zenon_H26 zenon_H3aa zenon_H3c7 zenon_H3c4 zenon_H29e zenon_H3cd zenon_H2ef zenon_H3d1 zenon_H364 zenon_H299 zenon_H360 zenon_H2e8 zenon_H372 zenon_H26b zenon_H2f7 zenon_H367 zenon_H265 zenon_H401 zenon_H2f4 zenon_H3ef zenon_H3b4 zenon_H24e zenon_H25a zenon_H228 zenon_H20c zenon_H204 zenon_H215 zenon_H212 zenon_H404 zenon_H30f zenon_H32c zenon_H3e3 zenon_H392 zenon_H414 zenon_H2c6 zenon_H1ed zenon_H320 zenon_H342 zenon_H347 zenon_H1fa zenon_H1f4 zenon_H227 zenon_H2e4 zenon_H31d zenon_H35d zenon_H40d zenon_H353 zenon_H36e zenon_H252 zenon_H3b8 zenon_H3ea zenon_H27d zenon_H3db zenon_H38a zenon_H2fa zenon_H3cb zenon_H3d6 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H1eb zenon_H219 zenon_H272. % 65.82/66.07 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.82/66.07 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.82/66.07 apply (zenon_L227_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.82/66.07 apply (zenon_L329_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.82/66.07 apply (zenon_L378_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.82/66.07 apply (zenon_L394_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.82/66.07 apply (zenon_L228_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.82/66.07 apply (zenon_L229_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.82/66.07 apply (zenon_L230_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.82/66.07 apply (zenon_L232_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.82/66.07 apply (zenon_L239_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.82/66.07 apply (zenon_L240_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.82/66.07 apply (zenon_L245_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.82/66.07 apply (zenon_L247_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.82/66.07 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.82/66.07 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.82/66.07 apply (zenon_L855_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.82/66.07 apply (zenon_L263_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.82/66.07 apply (zenon_L264_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.82/66.07 apply (zenon_L266_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.82/66.07 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.82/66.07 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.82/66.07 apply (zenon_L856_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.82/66.07 apply (zenon_L269_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.82/66.07 apply (zenon_L405_); trivial. % 65.82/66.07 apply (zenon_L301_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.82/66.07 apply (zenon_L415_); trivial. % 65.82/66.07 apply (zenon_L485_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.82/66.07 apply (zenon_L529_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.82/66.07 apply (zenon_L559_); trivial. % 65.82/66.07 apply (zenon_L587_); trivial. % 65.82/66.07 (* end of lemma zenon_L857_ *) % 65.82/66.07 assert (zenon_L858_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e21)) = (e20)) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op1 (e10) (e12)) = (e12)) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 65.82/66.07 do 0 intro. intros zenon_H194 zenon_H13c zenon_H1b zenon_H8f zenon_H19 zenon_H56 zenon_H26 zenon_H491 zenon_H29 zenon_H396 zenon_H2a9 zenon_H493 zenon_H193 zenon_Hde. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H145 | zenon_intro zenon_H195 ]. % 65.82/66.07 apply (zenon_L123_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H63 | zenon_intro zenon_H196 ]. % 65.82/66.07 apply (zenon_L19_); trivial. % 65.82/66.07 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H122 ]. % 65.82/66.07 apply (zenon_L855_); trivial. % 65.82/66.07 apply (zenon_L128_); trivial. % 65.82/66.07 (* end of lemma zenon_L858_ *) % 65.82/66.07 assert (zenon_L859_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e21)) = (e20)) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((e12) = (e13))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 65.94/66.07 do 0 intro. intros zenon_H194 zenon_H13c zenon_H1b zenon_H8f zenon_H19 zenon_H56 zenon_H2a4 zenon_H30f zenon_H493 zenon_H396 zenon_H29 zenon_H491 zenon_H26 zenon_H212 zenon_H1eb zenon_H219 zenon_H3aa zenon_H285 zenon_H29e zenon_H360 zenon_H2c6 zenon_H3a7 zenon_H27d zenon_H2eb zenon_H193 zenon_Hde. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H145 | zenon_intro zenon_H195 ]. % 65.94/66.07 apply (zenon_L123_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H63 | zenon_intro zenon_H196 ]. % 65.94/66.07 apply (zenon_L19_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H122 ]. % 65.94/66.07 apply (zenon_L856_); trivial. % 65.94/66.07 apply (zenon_L128_); trivial. % 65.94/66.07 (* end of lemma zenon_L859_ *) % 65.94/66.07 assert (zenon_L860_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> False). % 65.94/66.07 do 0 intro. intros zenon_H32c zenon_H26b zenon_H265 zenon_H272 zenon_H2af zenon_H285 zenon_H284 zenon_H249 zenon_H252 zenon_H24e zenon_H20c zenon_H25a zenon_H2aa zenon_H27d zenon_H2b4 zenon_H29e zenon_H299 zenon_H293 zenon_H2a1 zenon_H2b3 zenon_H2c6 zenon_H29a zenon_H21e zenon_H1fa zenon_H1ee zenon_H1eb zenon_H1f4 zenon_H1ed zenon_H227 zenon_H219 zenon_H36e zenon_H3a7. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.94/66.07 apply (zenon_L228_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.94/66.07 apply (zenon_L229_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.94/66.07 apply (zenon_L230_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.94/66.07 apply (zenon_L232_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.94/66.07 apply (zenon_L239_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.94/66.07 apply (zenon_L240_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.94/66.07 apply (zenon_L245_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.94/66.07 apply (zenon_L247_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.94/66.07 apply (zenon_L262_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.94/66.07 apply (zenon_L263_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.94/66.07 apply (zenon_L264_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.94/66.07 apply (zenon_L266_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.94/66.07 apply (zenon_L268_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.94/66.07 apply (zenon_L269_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.94/66.07 apply (zenon_L405_); trivial. % 65.94/66.07 apply (zenon_L301_); trivial. % 65.94/66.07 (* end of lemma zenon_L860_ *) % 65.94/66.07 assert (zenon_L861_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> False). % 65.94/66.07 do 0 intro. intros zenon_H32c zenon_H1ed zenon_H265 zenon_H2b4 zenon_H21e zenon_H27d zenon_H2aa zenon_H320 zenon_H212 zenon_H329 zenon_H2c6 zenon_H272 zenon_H25a zenon_H367 zenon_H1eb zenon_H24e zenon_H252 zenon_H249 zenon_H364 zenon_H299 zenon_H26b zenon_H328 zenon_H35d zenon_H314 zenon_H2e4 zenon_H1ee zenon_H31d zenon_H360 zenon_H20c zenon_H369 zenon_H219 zenon_H36e zenon_H3a7. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.94/66.07 apply (zenon_L228_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.94/66.07 apply (zenon_L229_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.94/66.07 apply (zenon_L230_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.94/66.07 apply (zenon_L232_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.94/66.07 apply (zenon_L239_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.94/66.07 apply (zenon_L240_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.94/66.07 apply (zenon_L245_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.94/66.07 apply (zenon_L247_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.94/66.07 apply (zenon_L344_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.94/66.07 apply (zenon_L263_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.94/66.07 apply (zenon_L264_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.94/66.07 apply (zenon_L266_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.94/66.07 apply (zenon_L349_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.94/66.07 apply (zenon_L269_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.94/66.07 apply (zenon_L405_); trivial. % 65.94/66.07 apply (zenon_L301_); trivial. % 65.94/66.07 (* end of lemma zenon_L861_ *) % 65.94/66.07 assert (zenon_L862_ : (~((op1 (e13) (op1 (e13) (e13))) = (op1 (e10) (e12)))) -> ((op1 (e13) (e11)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e10) (e12)) = (e12)) -> False). % 65.94/66.07 do 0 intro. intros zenon_H49f zenon_H324 zenon_H219 zenon_H2a9. % 65.94/66.07 cut (((op1 (e13) (e11)) = (e12)) = ((op1 (e13) (op1 (e13) (e13))) = (op1 (e10) (e12)))). % 65.94/66.07 intro zenon_D_pnotp. % 65.94/66.07 apply zenon_H49f. % 65.94/66.07 rewrite <- zenon_D_pnotp. % 65.94/66.07 exact zenon_H324. % 65.94/66.07 cut (((e12) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2e1]. % 65.94/66.07 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H325]. % 65.94/66.07 congruence. % 65.94/66.07 elim (classic ((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (op1 (e13) (e13))))); [ zenon_intro zenon_H326 | zenon_intro zenon_H327 ]. % 65.94/66.07 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e13))))). % 65.94/66.07 intro zenon_D_pnotp. % 65.94/66.07 apply zenon_H325. % 65.94/66.07 rewrite <- zenon_D_pnotp. % 65.94/66.07 exact zenon_H326. % 65.94/66.07 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H327]. % 65.94/66.07 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H218]. % 65.94/66.07 congruence. % 65.94/66.07 apply (zenon_L224_); trivial. % 65.94/66.07 apply zenon_H327. apply refl_equal. % 65.94/66.07 apply zenon_H327. apply refl_equal. % 65.94/66.07 apply zenon_H2e1. apply sym_equal. exact zenon_H2a9. % 65.94/66.07 (* end of lemma zenon_L862_ *) % 65.94/66.07 assert (zenon_L863_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e10) (e12)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> False). % 65.94/66.07 do 0 intro. intros zenon_H329 zenon_H212 zenon_H24e zenon_H320 zenon_H1eb zenon_H2bf zenon_H2a9 zenon_H219 zenon_H299. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.94/66.07 apply (zenon_L225_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.94/66.07 apply (zenon_L236_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.94/66.07 apply (zenon_L311_); trivial. % 65.94/66.07 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H315 | zenon_intro zenon_H316 ]. % 65.94/66.07 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))). % 65.94/66.07 intro zenon_D_pnotp. % 65.94/66.07 apply zenon_H299. % 65.94/66.07 rewrite <- zenon_D_pnotp. % 65.94/66.07 exact zenon_H315. % 65.94/66.07 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H316]. % 65.94/66.07 cut (((op1 (e11) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H317]. % 65.94/66.07 congruence. % 65.94/66.07 cut (((e12) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e11) (e12)) = (op1 (e10) (e12)))). % 65.94/66.07 intro zenon_D_pnotp. % 65.94/66.07 apply zenon_H317. % 65.94/66.07 rewrite <- zenon_D_pnotp. % 65.94/66.07 exact zenon_H1eb. % 65.94/66.07 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H49f]. % 65.94/66.07 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H37a]. % 65.94/66.07 congruence. % 65.94/66.07 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H315 | zenon_intro zenon_H316 ]. % 65.94/66.07 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((e12) = (op1 (e11) (e12)))). % 65.94/66.07 intro zenon_D_pnotp. % 65.94/66.07 apply zenon_H37a. % 65.94/66.07 rewrite <- zenon_D_pnotp. % 65.94/66.07 exact zenon_H315. % 65.94/66.07 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H316]. % 65.94/66.07 cut (((op1 (e11) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H4a0]. % 65.94/66.07 congruence. % 65.94/66.07 exact (zenon_H4a0 zenon_H2bf). % 65.94/66.07 apply zenon_H316. apply refl_equal. % 65.94/66.07 apply zenon_H316. apply refl_equal. % 65.94/66.07 apply (zenon_L862_); trivial. % 65.94/66.07 apply zenon_H316. apply refl_equal. % 65.94/66.07 apply zenon_H316. apply refl_equal. % 65.94/66.07 (* end of lemma zenon_L863_ *) % 65.94/66.07 assert (zenon_L864_ : (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> ((op1 (e10) (e13)) = (e13)) -> ((op2 (e20) (e23)) = (e23)) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> False). % 65.94/66.07 do 0 intro. intros zenon_H4a1 zenon_H2a4 zenon_Hde zenon_H396 zenon_H29 zenon_H4a2. % 65.94/66.07 cut (((h4 (e13)) = (e23)) = ((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))). % 65.94/66.07 intro zenon_D_pnotp. % 65.94/66.07 apply zenon_H4a1. % 65.94/66.07 rewrite <- zenon_D_pnotp. % 65.94/66.07 exact zenon_H4a2. % 65.94/66.07 cut (((e23) = (op2 (h4 (e10)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4a3]. % 65.94/66.07 cut (((h4 (e13)) = (h4 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4a4]. % 65.94/66.07 congruence. % 65.94/66.07 elim (classic ((h4 (op1 (e10) (e13))) = (h4 (op1 (e10) (e13))))); [ zenon_intro zenon_H4a5 | zenon_intro zenon_H4a6 ]. % 65.94/66.07 cut (((h4 (op1 (e10) (e13))) = (h4 (op1 (e10) (e13)))) = ((h4 (e13)) = (h4 (op1 (e10) (e13))))). % 65.94/66.07 intro zenon_D_pnotp. % 65.94/66.07 apply zenon_H4a4. % 65.94/66.07 rewrite <- zenon_D_pnotp. % 65.94/66.07 exact zenon_H4a5. % 65.94/66.07 cut (((h4 (op1 (e10) (e13))) = (h4 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4a6]. % 65.94/66.07 cut (((h4 (op1 (e10) (e13))) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H4a7]. % 65.94/66.07 congruence. % 65.94/66.07 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H4a8]. % 65.94/66.07 congruence. % 65.94/66.07 exact (zenon_H4a8 zenon_H2a4). % 65.94/66.07 apply zenon_H4a6. apply refl_equal. % 65.94/66.07 apply zenon_H4a6. apply refl_equal. % 65.94/66.07 elim (classic ((op2 (h4 (e10)) (h4 (e13))) = (op2 (h4 (e10)) (h4 (e13))))); [ zenon_intro zenon_H4a9 | zenon_intro zenon_H4aa ]. % 65.94/66.07 cut (((op2 (h4 (e10)) (h4 (e13))) = (op2 (h4 (e10)) (h4 (e13)))) = ((e23) = (op2 (h4 (e10)) (h4 (e13))))). % 65.94/66.07 intro zenon_D_pnotp. % 65.94/66.07 apply zenon_H4a3. % 65.94/66.07 rewrite <- zenon_D_pnotp. % 65.94/66.07 exact zenon_H4a9. % 65.94/66.07 cut (((op2 (h4 (e10)) (h4 (e13))) = (op2 (h4 (e10)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4aa]. % 65.94/66.07 cut (((op2 (h4 (e10)) (h4 (e13))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H4ab]. % 65.94/66.07 congruence. % 65.94/66.07 cut (((op2 (e20) (e23)) = (e23)) = ((op2 (h4 (e10)) (h4 (e13))) = (e23))). % 65.94/66.07 intro zenon_D_pnotp. % 65.94/66.07 apply zenon_H4ab. % 65.94/66.07 rewrite <- zenon_D_pnotp. % 65.94/66.07 exact zenon_Hde. % 65.94/66.07 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 65.94/66.07 cut (((op2 (e20) (e23)) = (op2 (h4 (e10)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4ac]. % 65.94/66.07 congruence. % 65.94/66.07 elim (classic ((op2 (h4 (e10)) (h4 (e13))) = (op2 (h4 (e10)) (h4 (e13))))); [ zenon_intro zenon_H4a9 | zenon_intro zenon_H4aa ]. % 65.94/66.07 cut (((op2 (h4 (e10)) (h4 (e13))) = (op2 (h4 (e10)) (h4 (e13)))) = ((op2 (e20) (e23)) = (op2 (h4 (e10)) (h4 (e13))))). % 65.94/66.07 intro zenon_D_pnotp. % 65.94/66.07 apply zenon_H4ac. % 65.94/66.07 rewrite <- zenon_D_pnotp. % 65.94/66.07 exact zenon_H4a9. % 65.94/66.07 cut (((op2 (h4 (e10)) (h4 (e13))) = (op2 (h4 (e10)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4aa]. % 65.94/66.07 cut (((op2 (h4 (e10)) (h4 (e13))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4ad]. % 65.94/66.07 congruence. % 65.94/66.07 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H4ae]. % 65.94/66.07 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H395]. % 65.94/66.07 congruence. % 65.94/66.07 apply (zenon_L395_); trivial. % 65.94/66.07 exact (zenon_H4ae zenon_H4a2). % 65.94/66.07 apply zenon_H4aa. apply refl_equal. % 65.94/66.07 apply zenon_H4aa. apply refl_equal. % 65.94/66.07 apply zenon_H24. apply refl_equal. % 65.94/66.07 apply zenon_H4aa. apply refl_equal. % 65.94/66.07 apply zenon_H4aa. apply refl_equal. % 65.94/66.07 (* end of lemma zenon_L864_ *) % 65.94/66.07 assert (zenon_L865_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e13) (e11)) = (e12)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> False). % 65.94/66.07 do 0 intro. intros zenon_H2b4 zenon_H1ee zenon_H21e zenon_H27d zenon_H219 zenon_H312 zenon_H324 zenon_H1eb zenon_H328 zenon_H2d5. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H240 | zenon_intro zenon_H2ba ]. % 65.94/66.07 apply (zenon_L231_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H27e | zenon_intro zenon_H2bb ]. % 65.94/66.07 apply (zenon_L248_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H297 | zenon_intro zenon_H2a4 ]. % 65.94/66.07 apply (zenon_L313_); trivial. % 65.94/66.07 apply (zenon_L340_); trivial. % 65.94/66.07 (* end of lemma zenon_L865_ *) % 65.94/66.07 assert (zenon_L866_ : (((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> ((op2 (e20) (e23)) = (e23)) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> False). % 65.94/66.07 do 0 intro. intros zenon_H2cf zenon_H4a1 zenon_Hde zenon_H396 zenon_H29 zenon_H4a2. % 65.94/66.07 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.94/66.07 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.94/66.07 apply (zenon_L864_); trivial. % 65.94/66.07 (* end of lemma zenon_L866_ *) % 65.94/66.07 assert (zenon_L867_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))\/(((op1 (e11) (op1 (e11) (e10))) = (e11))\/(((op1 (e12) (op1 (e12) (e10))) = (e12))\/((op1 (e13) (op1 (e13) (e10))) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> ((op2 (e20) (e23)) = (e23)) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (op1 (e10) (e12))) = (e10))\/(((op1 (e11) (op1 (e11) (e12))) = (e11))\/(((op1 (e12) (op1 (e12) (e12))) = (e12))\/((op1 (e13) (op1 (e13) (e12))) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (op1 (e10) (e11))) = (e10))\/(((op1 (e11) (op1 (e11) (e11))) = (e11))\/(((op1 (e12) (op1 (e12) (e11))) = (e12))\/((op1 (e13) (op1 (e13) (e11))) = (e13))))) -> (~((e12) = (e13))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.94/66.07 do 0 intro. intros zenon_H48d zenon_H2a1 zenon_H2eb zenon_H2b3 zenon_H3c1 zenon_H293 zenon_H284 zenon_H329 zenon_H37f zenon_H2df zenon_H300 zenon_H2af zenon_H3f0 zenon_H3d0 zenon_H348 zenon_H303 zenon_H2d8 zenon_H354 zenon_H369 zenon_H2aa zenon_H4a1 zenon_Hde zenon_H396 zenon_H29 zenon_H4a2 zenon_H382 zenon_H328 zenon_H3c7 zenon_H3c4 zenon_H29e zenon_H3cd zenon_H2ef zenon_H3d1 zenon_H364 zenon_H299 zenon_H360 zenon_H2e8 zenon_H372 zenon_H26b zenon_H2f7 zenon_H367 zenon_H265 zenon_H401 zenon_H2f4 zenon_H3ef zenon_H3b4 zenon_H24e zenon_H25a zenon_H228 zenon_H20c zenon_H204 zenon_H215 zenon_H212 zenon_H404 zenon_H30f zenon_H32c zenon_H3e3 zenon_H392 zenon_H414 zenon_H2c6 zenon_H1ed zenon_H320 zenon_H342 zenon_H347 zenon_H1fa zenon_H1f4 zenon_H227 zenon_H2e4 zenon_H31d zenon_H35d zenon_H40d zenon_H353 zenon_H36e zenon_H252 zenon_H3b8 zenon_H3ea zenon_H27d zenon_H3db zenon_H38a zenon_H2fa zenon_H3cb zenon_H3d6 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H1eb zenon_H219 zenon_H272. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.94/66.07 apply (zenon_L227_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.94/66.07 apply (zenon_L329_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.94/66.07 apply (zenon_L378_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.94/66.07 apply (zenon_L394_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.94/66.07 apply (zenon_L860_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.94/66.07 apply (zenon_L861_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.94/66.07 apply (zenon_L228_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.94/66.07 apply (zenon_L229_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.94/66.07 apply (zenon_L230_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.94/66.07 apply (zenon_L232_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.94/66.07 apply (zenon_L239_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.94/66.07 apply (zenon_L240_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.94/66.07 apply (zenon_L245_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.94/66.07 apply (zenon_L247_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.94/66.07 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.94/66.07 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H375 | zenon_intro zenon_H383 ]. % 65.94/66.07 apply (zenon_L362_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H24f | zenon_intro zenon_H384 ]. % 65.94/66.07 apply (zenon_L236_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H2bf | zenon_intro zenon_H312 ]. % 65.94/66.07 apply (zenon_L863_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.94/66.07 apply (zenon_L225_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.94/66.07 apply (zenon_L236_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.94/66.07 apply (zenon_L311_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H3ea); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H3eb ]. % 65.94/66.07 apply (zenon_L864_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H3eb); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H3ec ]. % 65.94/66.07 apply (zenon_L865_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H3ec); [ zenon_intro zenon_H33e | zenon_intro zenon_H308 ]. % 65.94/66.07 apply (zenon_L376_); trivial. % 65.94/66.07 apply (zenon_L477_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.94/66.07 apply (zenon_L263_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.94/66.07 apply (zenon_L264_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.94/66.07 apply (zenon_L266_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.94/66.07 apply (zenon_L866_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.94/66.07 apply (zenon_L269_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.94/66.07 apply (zenon_L405_); trivial. % 65.94/66.07 apply (zenon_L301_); trivial. % 65.94/66.07 apply (zenon_L328_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.94/66.07 apply (zenon_L415_); trivial. % 65.94/66.07 apply (zenon_L485_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.94/66.07 apply (zenon_L529_); trivial. % 65.94/66.07 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.94/66.07 apply (zenon_L559_); trivial. % 65.94/66.07 apply (zenon_L587_); trivial. % 65.94/66.07 (* end of lemma zenon_L867_ *) % 65.94/66.07 assert (zenon_L868_ : (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False). % 65.94/66.07 do 0 intro. intros zenon_H4af zenon_Hde zenon_He2. % 65.94/66.07 cut (((op2 (e20) (e23)) = (e23)) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))). % 65.94/66.07 intro zenon_D_pnotp. % 65.94/66.07 apply zenon_H4af. % 65.94/66.07 rewrite <- zenon_D_pnotp. % 65.94/66.07 exact zenon_Hde. % 65.94/66.07 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H160]. % 65.94/66.07 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 65.94/66.07 congruence. % 65.94/66.07 apply zenon_H37. apply refl_equal. % 65.94/66.07 apply zenon_H160. apply sym_equal. exact zenon_He2. % 65.94/66.07 (* end of lemma zenon_L868_ *) % 65.94/66.07 assert (zenon_L869_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e23) (e21)) = (e22)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> False). % 65.94/66.08 do 0 intro. intros zenon_H12b zenon_H29 zenon_H33 zenon_H119 zenon_H123 zenon_H19 zenon_Hc6 zenon_H94 zenon_H26 zenon_H4af zenon_He2. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H34 | zenon_intro zenon_H12c ]. % 65.94/66.08 apply (zenon_L7_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H11a | zenon_intro zenon_H12d ]. % 65.94/66.08 apply (zenon_L72_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H122 | zenon_intro zenon_Hde ]. % 65.94/66.08 apply (zenon_L74_); trivial. % 65.94/66.08 apply (zenon_L868_); trivial. % 65.94/66.08 (* end of lemma zenon_L869_ *) % 65.94/66.08 assert (zenon_L870_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((e12) = (e13))) -> (((op1 (e10) (op1 (e10) (e11))) = (e10))\/(((op1 (e11) (op1 (e11) (e11))) = (e11))\/(((op1 (e12) (op1 (e12) (e11))) = (e12))\/((op1 (e13) (op1 (e13) (e11))) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (op1 (e10) (e12))) = (e10))\/(((op1 (e11) (op1 (e11) (e12))) = (e11))\/(((op1 (e12) (op1 (e12) (e12))) = (e12))\/((op1 (e13) (op1 (e13) (e12))) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (op1 (e10) (e10))) = (e10))\/(((op1 (e11) (op1 (e11) (e10))) = (e11))\/(((op1 (e12) (op1 (e12) (e10))) = (e12))\/((op1 (e13) (op1 (e13) (e10))) = (e13))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.94/66.08 do 0 intro. intros zenon_Hc3 zenon_H182 zenon_H14c zenon_H131 zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H44d zenon_H272 zenon_H219 zenon_H1eb zenon_H21e zenon_H1ee zenon_H2b4 zenon_H3d6 zenon_H3cb zenon_H2fa zenon_H38a zenon_H3db zenon_H27d zenon_H3ea zenon_H3b8 zenon_H252 zenon_H36e zenon_H353 zenon_H40d zenon_H35d zenon_H31d zenon_H2e4 zenon_H227 zenon_H1f4 zenon_H1fa zenon_H347 zenon_H342 zenon_H320 zenon_H1ed zenon_H2c6 zenon_H414 zenon_H392 zenon_H3e3 zenon_H32c zenon_H30f zenon_H404 zenon_H212 zenon_H215 zenon_H204 zenon_H20c zenon_H228 zenon_H25a zenon_H24e zenon_H3b4 zenon_H3ef zenon_H2f4 zenon_H401 zenon_H265 zenon_H367 zenon_H2f7 zenon_H26b zenon_H372 zenon_H2e8 zenon_H360 zenon_H299 zenon_H364 zenon_H3d1 zenon_H2ef zenon_H3cd zenon_H29e zenon_H3c4 zenon_H3c7 zenon_H328 zenon_H382 zenon_H4a2 zenon_H396 zenon_H4a1 zenon_H2aa zenon_H369 zenon_H354 zenon_H2d8 zenon_H303 zenon_H348 zenon_H3d0 zenon_H3f0 zenon_H2af zenon_H300 zenon_H2df zenon_H37f zenon_H329 zenon_H284 zenon_H293 zenon_H3c1 zenon_H2b3 zenon_H2eb zenon_H2a1 zenon_H48d zenon_H4af zenon_H19 zenon_H123 zenon_H119 zenon_H33 zenon_H29 zenon_H12b zenon_Haa zenon_H1a6 zenon_H109 zenon_H26. % 65.94/66.08 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.94/66.08 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H14d | zenon_intro zenon_H185 ]. % 65.94/66.08 apply (zenon_L157_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H186 ]. % 65.94/66.08 apply (zenon_L63_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H156 ]. % 65.94/66.08 apply (zenon_L107_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.94/66.08 apply (zenon_L19_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.94/66.08 apply (zenon_L63_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.94/66.08 apply (zenon_L33_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H44e ]. % 65.94/66.08 apply (zenon_L867_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H44e); [ zenon_intro zenon_He2 | zenon_intro zenon_H44f ]. % 65.94/66.08 apply (zenon_L869_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H44f); [ zenon_intro zenon_He6 | zenon_intro zenon_He9 ]. % 65.94/66.08 apply (zenon_L159_); trivial. % 65.94/66.08 apply (zenon_L613_); trivial. % 65.94/66.08 (* end of lemma zenon_L870_ *) % 65.94/66.08 assert (zenon_L871_ : (((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op1 (e10) (op1 (e10) (e10))) = (e10))\/(((op1 (e11) (op1 (e11) (e10))) = (e11))\/(((op1 (e12) (op1 (e12) (e10))) = (e12))\/((op1 (e13) (op1 (e13) (e10))) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (op1 (e10) (e12))) = (e10))\/(((op1 (e11) (op1 (e11) (e12))) = (e11))\/(((op1 (e12) (op1 (e12) (e12))) = (e12))\/((op1 (e13) (op1 (e13) (e12))) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (op1 (e10) (e11))) = (e10))\/(((op1 (e11) (op1 (e11) (e11))) = (e11))\/(((op1 (e12) (op1 (e12) (e11))) = (e12))\/((op1 (e13) (op1 (e13) (e11))) = (e13))))) -> (~((e12) = (e13))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.94/66.08 do 0 intro. intros zenon_Hdc zenon_H48d zenon_H2a1 zenon_H2eb zenon_H2b3 zenon_H3c1 zenon_H293 zenon_H284 zenon_H329 zenon_H37f zenon_H2df zenon_H300 zenon_H2af zenon_H3f0 zenon_H3d0 zenon_H348 zenon_H303 zenon_H2d8 zenon_H354 zenon_H369 zenon_H2aa zenon_H4a1 zenon_H396 zenon_H29 zenon_H4a2 zenon_H382 zenon_H328 zenon_H3c7 zenon_H3c4 zenon_H29e zenon_H3cd zenon_H2ef zenon_H3d1 zenon_H364 zenon_H299 zenon_H360 zenon_H2e8 zenon_H372 zenon_H26b zenon_H2f7 zenon_H367 zenon_H265 zenon_H401 zenon_H2f4 zenon_H3ef zenon_H3b4 zenon_H24e zenon_H25a zenon_H228 zenon_H20c zenon_H204 zenon_H215 zenon_H212 zenon_H404 zenon_H30f zenon_H32c zenon_H3e3 zenon_H392 zenon_H414 zenon_H2c6 zenon_H1ed zenon_H320 zenon_H342 zenon_H347 zenon_H1fa zenon_H1f4 zenon_H227 zenon_H2e4 zenon_H31d zenon_H35d zenon_H40d zenon_H353 zenon_H36e zenon_H252 zenon_H3b8 zenon_H3ea zenon_H27d zenon_H3db zenon_H38a zenon_H2fa zenon_H3cb zenon_H3d6 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H1eb zenon_H219 zenon_H272. % 65.94/66.08 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.94/66.08 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.94/66.08 apply (zenon_L867_); trivial. % 65.94/66.08 (* end of lemma zenon_L871_ *) % 65.94/66.08 assert (zenon_L872_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((e12) = (e13))) -> (((op1 (e10) (op1 (e10) (e11))) = (e10))\/(((op1 (e11) (op1 (e11) (e11))) = (e11))\/(((op1 (e12) (op1 (e12) (e11))) = (e12))\/((op1 (e13) (op1 (e13) (e11))) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (op1 (e10) (e12))) = (e10))\/(((op1 (e11) (op1 (e11) (e12))) = (e11))\/(((op1 (e12) (op1 (e12) (e12))) = (e12))\/((op1 (e13) (op1 (e13) (e12))) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (op1 (e10) (e10))) = (e10))\/(((op1 (e11) (op1 (e11) (e10))) = (e11))\/(((op1 (e12) (op1 (e12) (e10))) = (e12))\/((op1 (e13) (op1 (e13) (e10))) = (e13))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> False). % 65.94/66.08 do 0 intro. intros zenon_Hf0 zenon_H103 zenon_H102 zenon_H118 zenon_H113 zenon_H10f zenon_Hba zenon_H109 zenon_H12b zenon_H119 zenon_H123 zenon_H4af zenon_H44d zenon_Hd0 zenon_H272 zenon_H219 zenon_H1eb zenon_H21e zenon_H1ee zenon_H2b4 zenon_H3d6 zenon_H3cb zenon_H2fa zenon_H38a zenon_H3db zenon_H27d zenon_H3ea zenon_H3b8 zenon_H252 zenon_H36e zenon_H353 zenon_H40d zenon_H35d zenon_H31d zenon_H2e4 zenon_H227 zenon_H1f4 zenon_H1fa zenon_H347 zenon_H342 zenon_H320 zenon_H1ed zenon_H2c6 zenon_H414 zenon_H392 zenon_H3e3 zenon_H32c zenon_H30f zenon_H404 zenon_H212 zenon_H215 zenon_H204 zenon_H20c zenon_H228 zenon_H25a zenon_H24e zenon_H3b4 zenon_H3ef zenon_H2f4 zenon_H401 zenon_H265 zenon_H367 zenon_H2f7 zenon_H26b zenon_H372 zenon_H2e8 zenon_H360 zenon_H299 zenon_H364 zenon_H3d1 zenon_H2ef zenon_H3cd zenon_H29e zenon_H3c4 zenon_H3c7 zenon_H328 zenon_H382 zenon_H4a2 zenon_H396 zenon_H4a1 zenon_H2aa zenon_H369 zenon_H354 zenon_H2d8 zenon_H303 zenon_H348 zenon_H3d0 zenon_H3f0 zenon_H2af zenon_H300 zenon_H2df zenon_H37f zenon_H329 zenon_H284 zenon_H293 zenon_H3c1 zenon_H2b3 zenon_H2eb zenon_H2a1 zenon_H48d zenon_H33 zenon_H1a6 zenon_H1af zenon_H4a zenon_H29 zenon_H44 zenon_H28 zenon_H6e zenon_Haa zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H131 zenon_H14c zenon_H182 zenon_H96 zenon_H26 zenon_H19 zenon_H194. % 65.94/66.08 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.94/66.08 apply (zenon_L1_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.94/66.08 apply (zenon_L2_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.94/66.08 apply (zenon_L6_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.94/66.08 apply (zenon_L8_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.94/66.08 apply (zenon_L66_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.94/66.08 apply (zenon_L27_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.94/66.08 apply (zenon_L71_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.94/66.08 apply (zenon_L47_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.94/66.08 apply (zenon_L870_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.94/66.08 apply (zenon_L49_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.94/66.08 apply (zenon_L50_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.94/66.08 apply (zenon_L52_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.94/66.08 apply (zenon_L871_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.94/66.08 apply (zenon_L56_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.94/66.08 apply (zenon_L162_); trivial. % 65.94/66.08 apply (zenon_L58_); trivial. % 65.94/66.08 (* end of lemma zenon_L872_ *) % 65.94/66.08 assert (zenon_L873_ : ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op1 (e11) (e10)) = (e10)) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((e20) = (h4 (op1 (e11) (e10))))) -> False). % 65.94/66.08 do 0 intro. intros zenon_H396 zenon_H236 zenon_H29 zenon_H4b0. % 65.94/66.08 elim (classic ((h4 (op1 (e11) (e10))) = (h4 (op1 (e11) (e10))))); [ zenon_intro zenon_H4b1 | zenon_intro zenon_H4b2 ]. % 65.94/66.08 cut (((h4 (op1 (e11) (e10))) = (h4 (op1 (e11) (e10)))) = ((e20) = (h4 (op1 (e11) (e10))))). % 65.94/66.08 intro zenon_D_pnotp. % 65.94/66.08 apply zenon_H4b0. % 65.94/66.08 rewrite <- zenon_D_pnotp. % 65.94/66.08 exact zenon_H4b1. % 65.94/66.08 cut (((h4 (op1 (e11) (e10))) = (h4 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4b2]. % 65.94/66.08 cut (((h4 (op1 (e11) (e10))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H4b3]. % 65.94/66.08 congruence. % 65.94/66.08 cut (((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((h4 (op1 (e11) (e10))) = (e20))). % 65.94/66.08 intro zenon_D_pnotp. % 65.94/66.08 apply zenon_H4b3. % 65.94/66.08 rewrite <- zenon_D_pnotp. % 65.94/66.08 exact zenon_H396. % 65.94/66.08 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H397]. % 65.94/66.08 cut (((h4 (e10)) = (h4 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4b4]. % 65.94/66.08 congruence. % 65.94/66.08 elim (classic ((h4 (op1 (e11) (e10))) = (h4 (op1 (e11) (e10))))); [ zenon_intro zenon_H4b1 | zenon_intro zenon_H4b2 ]. % 65.94/66.08 cut (((h4 (op1 (e11) (e10))) = (h4 (op1 (e11) (e10)))) = ((h4 (e10)) = (h4 (op1 (e11) (e10))))). % 65.94/66.08 intro zenon_D_pnotp. % 65.94/66.08 apply zenon_H4b4. % 65.94/66.08 rewrite <- zenon_D_pnotp. % 65.94/66.08 exact zenon_H4b1. % 65.94/66.08 cut (((h4 (op1 (e11) (e10))) = (h4 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4b2]. % 65.94/66.08 cut (((h4 (op1 (e11) (e10))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H4b5]. % 65.94/66.08 congruence. % 65.94/66.08 cut (((op1 (e11) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H4b6]. % 65.94/66.08 congruence. % 65.94/66.08 exact (zenon_H4b6 zenon_H236). % 65.94/66.08 apply zenon_H4b2. apply refl_equal. % 65.94/66.08 apply zenon_H4b2. apply refl_equal. % 65.94/66.08 apply zenon_H397. apply sym_equal. exact zenon_H29. % 65.94/66.08 apply zenon_H4b2. apply refl_equal. % 65.94/66.08 apply zenon_H4b2. apply refl_equal. % 65.94/66.08 (* end of lemma zenon_L873_ *) % 65.94/66.08 assert (zenon_L874_ : (~((e10) = (e13))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> False). % 65.94/66.08 do 0 intro. intros zenon_H4b7 zenon_H2d1 zenon_H301. % 65.94/66.08 cut (((op1 (e13) (e10)) = (e13)) = ((e10) = (e13))). % 65.94/66.08 intro zenon_D_pnotp. % 65.94/66.08 apply zenon_H4b7. % 65.94/66.08 rewrite <- zenon_D_pnotp. % 65.94/66.08 exact zenon_H2d1. % 65.94/66.08 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 65.94/66.08 cut (((op1 (e13) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H4b8]. % 65.94/66.08 congruence. % 65.94/66.08 exact (zenon_H4b8 zenon_H301). % 65.94/66.08 apply zenon_H1e9. apply refl_equal. % 65.94/66.08 (* end of lemma zenon_L874_ *) % 65.94/66.08 assert (zenon_L875_ : (~((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e12))))) -> ((op1 (e13) (e12)) = (e10)) -> False). % 65.94/66.08 do 0 intro. intros zenon_H4b9 zenon_H29f. % 65.94/66.08 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2a0]. % 65.94/66.08 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 65.94/66.08 congruence. % 65.94/66.08 apply zenon_H1e9. apply refl_equal. % 65.94/66.08 apply zenon_H2a0. apply sym_equal. exact zenon_H29f. % 65.94/66.08 (* end of lemma zenon_L875_ *) % 65.94/66.08 assert (zenon_L876_ : (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (e13)) -> False). % 65.94/66.08 do 0 intro. intros zenon_H38a zenon_H3a7 zenon_H29f zenon_H2d4. % 65.94/66.08 cut (((op1 (e13) (op1 (e13) (e12))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))). % 65.94/66.08 intro zenon_D_pnotp. % 65.94/66.08 apply zenon_H38a. % 65.94/66.08 rewrite <- zenon_D_pnotp. % 65.94/66.08 exact zenon_H3a7. % 65.94/66.08 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3d9]. % 65.94/66.08 cut (((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H4ba]. % 65.94/66.08 congruence. % 65.94/66.08 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H2fd | zenon_intro zenon_H2fe ]. % 65.94/66.08 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (e10)))). % 65.94/66.08 intro zenon_D_pnotp. % 65.94/66.08 apply zenon_H4ba. % 65.94/66.08 rewrite <- zenon_D_pnotp. % 65.94/66.08 exact zenon_H2fd. % 65.94/66.08 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fe]. % 65.94/66.08 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4b9]. % 65.94/66.08 congruence. % 65.94/66.08 apply (zenon_L875_); trivial. % 65.94/66.08 apply zenon_H2fe. apply refl_equal. % 65.94/66.08 apply zenon_H2fe. apply refl_equal. % 65.94/66.08 apply zenon_H3d9. apply sym_equal. exact zenon_H2d4. % 65.94/66.08 (* end of lemma zenon_L876_ *) % 65.94/66.08 assert (zenon_L877_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False). % 65.94/66.08 do 0 intro. intros zenon_H3aa zenon_H2d4 zenon_H38a zenon_H360 zenon_H2c6 zenon_H219 zenon_H1eb zenon_H3a7 zenon_H2d5 zenon_H252. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H29f | zenon_intro zenon_H3ab ]. % 65.94/66.08 apply (zenon_L876_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H361 | zenon_intro zenon_H3ac ]. % 65.94/66.08 apply (zenon_L343_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3ac); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H33d ]. % 65.94/66.08 apply (zenon_L265_); trivial. % 65.94/66.08 apply (zenon_L475_); trivial. % 65.94/66.08 (* end of lemma zenon_L877_ *) % 65.94/66.08 assert (zenon_L878_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> False). % 65.94/66.08 do 0 intro. intros zenon_H3db zenon_H301 zenon_H4b7 zenon_H219 zenon_H2c6 zenon_H360 zenon_H38a zenon_H3aa zenon_H252 zenon_H2d5 zenon_H3a7 zenon_H27d zenon_H1eb zenon_H297. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H3dc ]. % 65.94/66.08 apply (zenon_L874_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3dc); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H3dd ]. % 65.94/66.08 apply (zenon_L877_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3dd); [ zenon_intro zenon_H33d | zenon_intro zenon_H308 ]. % 65.94/66.08 apply (zenon_L475_); trivial. % 65.94/66.08 apply (zenon_L444_); trivial. % 65.94/66.08 (* end of lemma zenon_L878_ *) % 65.94/66.08 assert (zenon_L879_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e13))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> False). % 65.94/66.08 do 0 intro. intros zenon_H3ea zenon_H30f zenon_H3a7 zenon_H252 zenon_H3aa zenon_H38a zenon_H360 zenon_H2c6 zenon_H219 zenon_H4b7 zenon_H301 zenon_H3db zenon_H21e zenon_H343 zenon_H27d zenon_H1eb zenon_H297. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3ea); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H3eb ]. % 65.94/66.08 apply (zenon_L304_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3eb); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H3ec ]. % 65.94/66.08 apply (zenon_L878_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3ec); [ zenon_intro zenon_H33e | zenon_intro zenon_H308 ]. % 65.94/66.08 apply (zenon_L325_); trivial. % 65.94/66.08 apply (zenon_L444_); trivial. % 65.94/66.08 (* end of lemma zenon_L879_ *) % 65.94/66.08 assert (zenon_L880_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 65.94/66.08 do 0 intro. intros zenon_H3aa zenon_H2d4 zenon_H38a zenon_H360 zenon_H2c6 zenon_H219 zenon_H1eb zenon_H3a7 zenon_H2a4 zenon_H27d. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H29f | zenon_intro zenon_H3ab ]. % 65.94/66.08 apply (zenon_L876_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H361 | zenon_intro zenon_H3ac ]. % 65.94/66.08 apply (zenon_L343_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3ac); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H33d ]. % 65.94/66.08 apply (zenon_L265_); trivial. % 65.94/66.08 apply (zenon_L400_); trivial. % 65.94/66.08 (* end of lemma zenon_L880_ *) % 65.94/66.08 assert (zenon_L881_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 65.94/66.08 do 0 intro. intros zenon_H2b4 zenon_H1ee zenon_H21e zenon_H33e zenon_H343 zenon_H3aa zenon_H2d4 zenon_H38a zenon_H360 zenon_H2c6 zenon_H219 zenon_H1eb zenon_H3a7 zenon_H27d. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H240 | zenon_intro zenon_H2ba ]. % 65.94/66.08 apply (zenon_L231_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H27e | zenon_intro zenon_H2bb ]. % 65.94/66.08 apply (zenon_L248_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H297 | zenon_intro zenon_H2a4 ]. % 65.94/66.08 apply (zenon_L325_); trivial. % 65.94/66.08 apply (zenon_L880_); trivial. % 65.94/66.08 (* end of lemma zenon_L881_ *) % 65.94/66.08 assert (zenon_L882_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 65.94/66.08 do 0 intro. intros zenon_H3ea zenon_H27d zenon_H3a7 zenon_H219 zenon_H2c6 zenon_H360 zenon_H38a zenon_H2d4 zenon_H3aa zenon_H343 zenon_H21e zenon_H1ee zenon_H2b4 zenon_H252 zenon_H1eb zenon_H312. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3ea); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H3eb ]. % 65.94/66.08 apply (zenon_L880_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3eb); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H3ec ]. % 65.94/66.08 apply (zenon_L877_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3ec); [ zenon_intro zenon_H33e | zenon_intro zenon_H308 ]. % 65.94/66.08 apply (zenon_L881_); trivial. % 65.94/66.08 apply (zenon_L477_); trivial. % 65.94/66.08 (* end of lemma zenon_L882_ *) % 65.94/66.08 assert (zenon_L883_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 65.94/66.08 do 0 intro. intros zenon_H3ea zenon_H27d zenon_H36e zenon_H33d zenon_H3a7 zenon_H252 zenon_H1eb zenon_H312. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3ea); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H3eb ]. % 65.94/66.08 apply (zenon_L400_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3eb); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H3ec ]. % 65.94/66.08 apply (zenon_L475_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3ec); [ zenon_intro zenon_H33e | zenon_intro zenon_H308 ]. % 65.94/66.08 apply (zenon_L404_); trivial. % 65.94/66.08 apply (zenon_L477_); trivial. % 65.94/66.08 (* end of lemma zenon_L883_ *) % 65.94/66.08 assert (zenon_L884_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 65.94/66.08 do 0 intro. intros zenon_H3db zenon_H301 zenon_H4b7 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H343 zenon_H3aa zenon_H38a zenon_H360 zenon_H2c6 zenon_H219 zenon_H3a7 zenon_H36e zenon_H27d zenon_H3ea zenon_H252 zenon_H1eb zenon_H312. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H3dc ]. % 65.94/66.08 apply (zenon_L874_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3dc); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H3dd ]. % 65.94/66.08 apply (zenon_L882_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3dd); [ zenon_intro zenon_H33d | zenon_intro zenon_H308 ]. % 65.94/66.08 apply (zenon_L883_); trivial. % 65.94/66.08 apply (zenon_L477_); trivial. % 65.94/66.08 (* end of lemma zenon_L884_ *) % 65.94/66.08 assert (zenon_L885_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.94/66.08 do 0 intro. intros zenon_H227 zenon_H1f4 zenon_H1ff zenon_H3b8 zenon_H30f zenon_H252 zenon_H3ea zenon_H27d zenon_H36e zenon_H3a7 zenon_H2c6 zenon_H360 zenon_H38a zenon_H3aa zenon_H21e zenon_H1ee zenon_H2b4 zenon_H4b7 zenon_H301 zenon_H3db zenon_H343 zenon_H1ed zenon_H1eb zenon_H219 zenon_H272. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.94/66.08 apply (zenon_L214_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.94/66.08 apply (zenon_L215_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.94/66.08 exact (zenon_H1ff zenon_H1fb). % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_H297 | zenon_intro zenon_H3b9 ]. % 65.94/66.08 apply (zenon_L879_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_H312 | zenon_intro zenon_H3ba ]. % 65.94/66.08 apply (zenon_L884_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3ba); [ zenon_intro zenon_H2ce | zenon_intro zenon_H38e ]. % 65.94/66.08 apply (zenon_L321_); trivial. % 65.94/66.08 apply (zenon_L387_); trivial. % 65.94/66.08 (* end of lemma zenon_L885_ *) % 65.94/66.08 assert (zenon_L886_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((op2 (e21) (e20)) = (e20)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.94/66.08 do 0 intro. intros zenon_H303 zenon_H232 zenon_H4bb zenon_H29 zenon_H396 zenon_H19 zenon_H39a zenon_H1d zenon_H227 zenon_H1f4 zenon_H1ff zenon_H3b8 zenon_H30f zenon_H252 zenon_H3ea zenon_H27d zenon_H36e zenon_H3a7 zenon_H2c6 zenon_H360 zenon_H38a zenon_H3aa zenon_H21e zenon_H1ee zenon_H2b4 zenon_H4b7 zenon_H3db zenon_H343 zenon_H1ed zenon_H1eb zenon_H219 zenon_H272. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H22f | zenon_intro zenon_H304 ]. % 65.94/66.08 exact (zenon_H232 zenon_H22f). % 65.94/66.08 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H236 | zenon_intro zenon_H305 ]. % 65.94/66.08 elim (classic ((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10))))); [ zenon_intro zenon_H4bc | zenon_intro zenon_H4bd ]. % 65.94/66.08 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10)))) = ((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))). % 65.94/66.08 intro zenon_D_pnotp. % 65.94/66.08 apply zenon_H4bb. % 65.94/66.08 rewrite <- zenon_D_pnotp. % 65.94/66.08 exact zenon_H4bc. % 65.94/66.08 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4bd]. % 65.94/66.08 cut (((op2 (h4 (e11)) (h4 (e10))) = (h4 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4be]. % 65.94/66.08 congruence. % 65.94/66.08 cut (((op2 (e21) (e20)) = (e20)) = ((op2 (h4 (e11)) (h4 (e10))) = (h4 (op1 (e11) (e10))))). % 65.94/66.08 intro zenon_D_pnotp. % 65.94/66.08 apply zenon_H4be. % 65.94/66.08 rewrite <- zenon_D_pnotp. % 65.94/66.08 exact zenon_H1d. % 65.94/66.08 cut (((e20) = (h4 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4b0]. % 65.94/66.08 cut (((op2 (e21) (e20)) = (op2 (h4 (e11)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4bf]. % 65.94/66.08 congruence. % 65.94/66.08 elim (classic ((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10))))); [ zenon_intro zenon_H4bc | zenon_intro zenon_H4bd ]. % 65.94/66.08 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10)))) = ((op2 (e21) (e20)) = (op2 (h4 (e11)) (h4 (e10))))). % 65.94/66.08 intro zenon_D_pnotp. % 65.94/66.08 apply zenon_H4bf. % 65.94/66.08 rewrite <- zenon_D_pnotp. % 65.94/66.08 exact zenon_H4bc. % 65.94/66.08 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4bd]. % 65.94/66.08 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4c0]. % 65.94/66.08 congruence. % 65.94/66.08 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H395]. % 65.94/66.08 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H47e]. % 65.94/66.08 congruence. % 65.94/66.08 apply (zenon_L849_); trivial. % 65.94/66.08 apply (zenon_L395_); trivial. % 65.94/66.08 apply zenon_H4bd. apply refl_equal. % 65.94/66.08 apply zenon_H4bd. apply refl_equal. % 65.94/66.08 apply (zenon_L873_); trivial. % 65.94/66.08 apply zenon_H4bd. apply refl_equal. % 65.94/66.08 apply zenon_H4bd. apply refl_equal. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H1ef | zenon_intro zenon_H301 ]. % 65.94/66.08 apply (zenon_L214_); trivial. % 65.94/66.08 apply (zenon_L885_); trivial. % 65.94/66.08 (* end of lemma zenon_L886_ *) % 65.94/66.08 assert (zenon_L887_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.94/66.08 do 0 intro. intros zenon_H79 zenon_H17 zenon_H272 zenon_H219 zenon_H1eb zenon_H1ed zenon_H343 zenon_H3db zenon_H4b7 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H3aa zenon_H38a zenon_H360 zenon_H2c6 zenon_H3a7 zenon_H36e zenon_H27d zenon_H3ea zenon_H252 zenon_H30f zenon_H3b8 zenon_H1ff zenon_H1f4 zenon_H227 zenon_H39a zenon_H396 zenon_H4bb zenon_H232 zenon_H303 zenon_H182 zenon_Hc5 zenon_H14c zenon_H131 zenon_Hc6 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_H6e zenon_H29 zenon_H44 zenon_H4f zenon_Hba zenon_H19 zenon_H28 zenon_H1a6 zenon_H1e5 zenon_H96 zenon_H19a zenon_Hd0 zenon_H193 zenon_Hd9 zenon_H431 zenon_H33 zenon_H1dd zenon_H1e2 zenon_H17a zenon_H119 zenon_H44d zenon_H109 zenon_H26. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H14 | zenon_intro zenon_H7a ]. % 65.94/66.08 exact (zenon_H17 zenon_H14). % 65.94/66.08 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 65.94/66.08 apply (zenon_L886_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H2a | zenon_intro zenon_H77 ]. % 65.94/66.08 apply (zenon_L5_); trivial. % 65.94/66.08 apply (zenon_L748_); trivial. % 65.94/66.08 (* end of lemma zenon_L887_ *) % 65.94/66.08 assert (zenon_L888_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op1 (e10) (op1 (e10) (e10))) = (e10))\/(((op1 (e11) (op1 (e11) (e10))) = (e11))\/(((op1 (e12) (op1 (e12) (e10))) = (e12))\/((op1 (e13) (op1 (e13) (e10))) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e10) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (op1 (e10) (e12))) = (e10))\/(((op1 (e11) (op1 (e11) (e12))) = (e11))\/(((op1 (e12) (op1 (e12) (e12))) = (e12))\/((op1 (e13) (op1 (e13) (e12))) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (op1 (e10) (e11))) = (e10))\/(((op1 (e11) (op1 (e11) (e11))) = (e11))\/(((op1 (e12) (op1 (e12) (e11))) = (e12))\/((op1 (e13) (op1 (e13) (e11))) = (e13))))) -> (~((e12) = (e13))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.94/66.08 do 0 intro. intros zenon_Hc3 zenon_H48d zenon_H2a1 zenon_H2eb zenon_H2b3 zenon_H3c1 zenon_H293 zenon_H284 zenon_H329 zenon_H37f zenon_H2df zenon_H300 zenon_H2af zenon_H3f0 zenon_H3d0 zenon_H382 zenon_H348 zenon_H2d8 zenon_H354 zenon_H369 zenon_H328 zenon_H2aa zenon_H79 zenon_H4b7 zenon_H3aa zenon_H39a zenon_H396 zenon_H4bb zenon_H303 zenon_H182 zenon_H14c zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_H6e zenon_H29 zenon_H44 zenon_Hba zenon_H19 zenon_H28 zenon_H1a6 zenon_H1e5 zenon_H96 zenon_H19a zenon_Hd0 zenon_H193 zenon_Hd9 zenon_H431 zenon_H33 zenon_H1dd zenon_H1e2 zenon_H17a zenon_H119 zenon_H44d zenon_H109 zenon_H26 zenon_H3c7 zenon_H3c4 zenon_H29e zenon_H3cd zenon_H2ef zenon_H3d1 zenon_H364 zenon_H299 zenon_H360 zenon_H2e8 zenon_H372 zenon_H26b zenon_H2f7 zenon_H367 zenon_H265 zenon_H401 zenon_H2f4 zenon_H3ef zenon_H3b4 zenon_H24e zenon_H25a zenon_H228 zenon_H20c zenon_H204 zenon_H215 zenon_H212 zenon_H404 zenon_H30f zenon_H32c zenon_H3e3 zenon_H392 zenon_H414 zenon_H2c6 zenon_H1ed zenon_H320 zenon_H342 zenon_H347 zenon_H1fa zenon_H1f4 zenon_H227 zenon_H2e4 zenon_H31d zenon_H35d zenon_H40d zenon_H353 zenon_H36e zenon_H252 zenon_H3b8 zenon_H3ea zenon_H27d zenon_H3db zenon_H38a zenon_H2fa zenon_H3cb zenon_H3d6 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H1eb zenon_H219 zenon_H272. % 65.94/66.08 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.94/66.08 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.94/66.08 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.94/66.08 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.94/66.08 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.94/66.08 apply (zenon_L227_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.94/66.08 apply (zenon_L329_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.94/66.08 apply (zenon_L378_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.94/66.08 apply (zenon_L394_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.94/66.08 apply (zenon_L860_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.94/66.08 apply (zenon_L861_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.94/66.08 apply (zenon_L228_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.94/66.08 apply (zenon_L229_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.94/66.08 apply (zenon_L230_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.94/66.08 apply (zenon_L232_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.94/66.08 apply (zenon_L239_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.94/66.08 apply (zenon_L240_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.94/66.08 apply (zenon_L245_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.94/66.08 apply (zenon_L247_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.94/66.08 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.94/66.08 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.94/66.08 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.94/66.08 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.94/66.08 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.94/66.08 apply (zenon_L887_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.94/66.08 apply (zenon_L263_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.94/66.08 apply (zenon_L264_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.94/66.08 apply (zenon_L266_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.94/66.08 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.94/66.08 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.94/66.08 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.94/66.08 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.94/66.08 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.94/66.08 apply (zenon_L887_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.94/66.08 apply (zenon_L269_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.94/66.08 apply (zenon_L405_); trivial. % 65.94/66.08 apply (zenon_L301_); trivial. % 65.94/66.08 apply (zenon_L328_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.94/66.08 apply (zenon_L415_); trivial. % 65.94/66.08 apply (zenon_L485_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.94/66.08 apply (zenon_L529_); trivial. % 65.94/66.08 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.94/66.08 apply (zenon_L559_); trivial. % 65.94/66.08 apply (zenon_L587_); trivial. % 65.94/66.08 (* end of lemma zenon_L888_ *) % 65.94/66.08 assert (zenon_L889_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e23)) -> False). % 65.94/66.09 do 0 intro. intros zenon_H79 zenon_H17 zenon_H272 zenon_H219 zenon_H1eb zenon_H1ed zenon_H343 zenon_H3db zenon_H4b7 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H3aa zenon_H38a zenon_H360 zenon_H2c6 zenon_H3a7 zenon_H36e zenon_H27d zenon_H3ea zenon_H252 zenon_H30f zenon_H3b8 zenon_H1ff zenon_H1f4 zenon_H227 zenon_H39a zenon_H19 zenon_H396 zenon_H4bb zenon_H232 zenon_H303 zenon_H26 zenon_H29 zenon_H28 zenon_Hd9 zenon_Hda. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H14 | zenon_intro zenon_H7a ]. % 65.94/66.09 exact (zenon_H17 zenon_H14). % 65.94/66.09 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H1d | zenon_intro zenon_H7b ]. % 65.94/66.09 apply (zenon_L886_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H2a | zenon_intro zenon_H77 ]. % 65.94/66.09 apply (zenon_L5_); trivial. % 65.94/66.09 apply (zenon_L53_); trivial. % 65.94/66.09 (* end of lemma zenon_L889_ *) % 65.94/66.09 assert (zenon_L890_ : (((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op1 (e10) (op1 (e10) (e10))) = (e10))\/(((op1 (e11) (op1 (e11) (e10))) = (e11))\/(((op1 (e12) (op1 (e12) (e10))) = (e12))\/((op1 (e13) (op1 (e13) (e10))) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e10) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e23))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (op1 (e10) (e12))) = (e10))\/(((op1 (e11) (op1 (e11) (e12))) = (e11))\/(((op1 (e12) (op1 (e12) (e12))) = (e12))\/((op1 (e13) (op1 (e13) (e12))) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (op1 (e10) (e11))) = (e10))\/(((op1 (e11) (op1 (e11) (e11))) = (e11))\/(((op1 (e12) (op1 (e12) (e11))) = (e12))\/((op1 (e13) (op1 (e13) (e11))) = (e13))))) -> (~((e12) = (e13))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.94/66.09 do 0 intro. intros zenon_Hdc zenon_H48d zenon_H2a1 zenon_H2eb zenon_H2b3 zenon_H3c1 zenon_H293 zenon_H284 zenon_H329 zenon_H37f zenon_H2df zenon_H300 zenon_H2af zenon_H3f0 zenon_H3d0 zenon_H382 zenon_H348 zenon_H2d8 zenon_H354 zenon_H369 zenon_H328 zenon_H2aa zenon_H79 zenon_H4b7 zenon_H3aa zenon_H39a zenon_H19 zenon_H396 zenon_H4bb zenon_H303 zenon_H26 zenon_H29 zenon_H28 zenon_Hd9 zenon_H3c7 zenon_H3c4 zenon_H29e zenon_H3cd zenon_H2ef zenon_H3d1 zenon_H364 zenon_H299 zenon_H360 zenon_H2e8 zenon_H372 zenon_H26b zenon_H2f7 zenon_H367 zenon_H265 zenon_H401 zenon_H2f4 zenon_H3ef zenon_H3b4 zenon_H24e zenon_H25a zenon_H228 zenon_H20c zenon_H204 zenon_H215 zenon_H212 zenon_H404 zenon_H30f zenon_H32c zenon_H3e3 zenon_H392 zenon_H414 zenon_H2c6 zenon_H1ed zenon_H320 zenon_H342 zenon_H347 zenon_H1fa zenon_H1f4 zenon_H227 zenon_H2e4 zenon_H31d zenon_H35d zenon_H40d zenon_H353 zenon_H36e zenon_H252 zenon_H3b8 zenon_H3ea zenon_H27d zenon_H3db zenon_H38a zenon_H2fa zenon_H3cb zenon_H3d6 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H1eb zenon_H219 zenon_H272. % 65.94/66.09 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.94/66.09 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.94/66.09 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.94/66.09 apply (zenon_L227_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.94/66.09 apply (zenon_L329_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.94/66.09 apply (zenon_L378_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.94/66.09 apply (zenon_L394_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.94/66.09 apply (zenon_L860_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.94/66.09 apply (zenon_L861_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.94/66.09 apply (zenon_L228_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.94/66.09 apply (zenon_L229_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.94/66.09 apply (zenon_L230_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.94/66.09 apply (zenon_L232_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.94/66.09 apply (zenon_L239_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.94/66.09 apply (zenon_L240_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.94/66.09 apply (zenon_L245_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.94/66.09 apply (zenon_L247_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.94/66.09 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.94/66.09 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.94/66.09 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.94/66.09 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.94/66.09 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.94/66.09 apply (zenon_L889_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.94/66.09 apply (zenon_L263_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.94/66.09 apply (zenon_L264_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.94/66.09 apply (zenon_L266_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.94/66.09 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.94/66.09 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.94/66.09 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.94/66.09 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.94/66.09 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.94/66.09 apply (zenon_L889_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.94/66.09 apply (zenon_L269_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.94/66.09 apply (zenon_L405_); trivial. % 65.94/66.09 apply (zenon_L301_); trivial. % 65.94/66.09 apply (zenon_L328_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.94/66.09 apply (zenon_L415_); trivial. % 65.94/66.09 apply (zenon_L485_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.94/66.09 apply (zenon_L529_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.94/66.09 apply (zenon_L559_); trivial. % 65.94/66.09 apply (zenon_L587_); trivial. % 65.94/66.09 (* end of lemma zenon_L890_ *) % 65.94/66.09 assert (zenon_L891_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((e12) = (e13))) -> (((op1 (e10) (op1 (e10) (e11))) = (e10))\/(((op1 (e11) (op1 (e11) (e11))) = (e11))\/(((op1 (e12) (op1 (e12) (e11))) = (e12))\/((op1 (e13) (op1 (e13) (e11))) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (op1 (e10) (e12))) = (e10))\/(((op1 (e11) (op1 (e11) (e12))) = (e11))\/(((op1 (e12) (op1 (e12) (e12))) = (e12))\/((op1 (e13) (op1 (e13) (e12))) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e13))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (op1 (e10) (e10))) = (e10))\/(((op1 (e11) (op1 (e11) (e10))) = (e11))\/(((op1 (e12) (op1 (e12) (e10))) = (e12))\/((op1 (e13) (op1 (e13) (e10))) = (e13))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> False). % 65.94/66.09 do 0 intro. intros zenon_Hf0 zenon_H103 zenon_H102 zenon_H118 zenon_H113 zenon_H10f zenon_H109 zenon_H44d zenon_H119 zenon_H17a zenon_H1e2 zenon_H1dd zenon_H431 zenon_H193 zenon_H19a zenon_H1e5 zenon_Hba zenon_Hd0 zenon_H272 zenon_H219 zenon_H1eb zenon_H21e zenon_H1ee zenon_H2b4 zenon_H3d6 zenon_H3cb zenon_H2fa zenon_H38a zenon_H3db zenon_H27d zenon_H3ea zenon_H3b8 zenon_H252 zenon_H36e zenon_H353 zenon_H40d zenon_H35d zenon_H31d zenon_H2e4 zenon_H227 zenon_H1f4 zenon_H1fa zenon_H347 zenon_H342 zenon_H320 zenon_H1ed zenon_H2c6 zenon_H414 zenon_H392 zenon_H3e3 zenon_H32c zenon_H30f zenon_H404 zenon_H212 zenon_H215 zenon_H204 zenon_H20c zenon_H228 zenon_H25a zenon_H24e zenon_H3b4 zenon_H3ef zenon_H2f4 zenon_H401 zenon_H265 zenon_H367 zenon_H2f7 zenon_H26b zenon_H372 zenon_H2e8 zenon_H360 zenon_H299 zenon_H364 zenon_H3d1 zenon_H2ef zenon_H3cd zenon_H29e zenon_H3c4 zenon_H3c7 zenon_Hd9 zenon_H303 zenon_H4bb zenon_H396 zenon_H39a zenon_H3aa zenon_H4b7 zenon_H79 zenon_H2aa zenon_H328 zenon_H369 zenon_H354 zenon_H2d8 zenon_H348 zenon_H382 zenon_H3d0 zenon_H3f0 zenon_H2af zenon_H300 zenon_H2df zenon_H37f zenon_H329 zenon_H284 zenon_H293 zenon_H3c1 zenon_H2b3 zenon_H2eb zenon_H2a1 zenon_H48d zenon_H33 zenon_H1a6 zenon_H1af zenon_H4a zenon_H29 zenon_H44 zenon_H28 zenon_H6e zenon_Haa zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H131 zenon_H14c zenon_H182 zenon_H96 zenon_H26 zenon_H19 zenon_H194. % 65.94/66.09 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.94/66.09 apply (zenon_L1_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.94/66.09 apply (zenon_L2_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.94/66.09 apply (zenon_L6_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.94/66.09 apply (zenon_L8_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.94/66.09 apply (zenon_L66_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.94/66.09 apply (zenon_L27_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.94/66.09 apply (zenon_L71_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.94/66.09 apply (zenon_L47_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.94/66.09 apply (zenon_L888_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.94/66.09 apply (zenon_L49_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.94/66.09 apply (zenon_L50_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.94/66.09 apply (zenon_L52_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.94/66.09 apply (zenon_L890_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.94/66.09 apply (zenon_L56_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.94/66.09 apply (zenon_L162_); trivial. % 65.94/66.09 apply (zenon_L58_); trivial. % 65.94/66.09 (* end of lemma zenon_L891_ *) % 65.94/66.09 assert (zenon_L892_ : (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> ((op1 (e11) (e11)) = (e11)) -> ((op2 (e21) (e21)) = (e21)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.94/66.09 do 0 intro. intros zenon_H4c1 zenon_H247 zenon_H82 zenon_H39a zenon_H19. % 65.94/66.09 cut (((h4 (e11)) = (op2 (e23) (e23))) = ((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))). % 65.94/66.09 intro zenon_D_pnotp. % 65.94/66.09 apply zenon_H4c1. % 65.94/66.09 rewrite <- zenon_D_pnotp. % 65.94/66.09 exact zenon_H39a. % 65.94/66.09 cut (((op2 (e23) (e23)) = (op2 (h4 (e11)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4c2]. % 65.94/66.09 cut (((h4 (e11)) = (h4 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4c3]. % 65.94/66.09 congruence. % 65.94/66.09 elim (classic ((h4 (op1 (e11) (e11))) = (h4 (op1 (e11) (e11))))); [ zenon_intro zenon_H4c4 | zenon_intro zenon_H4c5 ]. % 65.94/66.09 cut (((h4 (op1 (e11) (e11))) = (h4 (op1 (e11) (e11)))) = ((h4 (e11)) = (h4 (op1 (e11) (e11))))). % 65.94/66.09 intro zenon_D_pnotp. % 65.94/66.09 apply zenon_H4c3. % 65.94/66.09 rewrite <- zenon_D_pnotp. % 65.94/66.09 exact zenon_H4c4. % 65.94/66.09 cut (((h4 (op1 (e11) (e11))) = (h4 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4c5]. % 65.94/66.09 cut (((h4 (op1 (e11) (e11))) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H4c6]. % 65.94/66.09 congruence. % 65.94/66.09 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H23a]. % 65.94/66.09 congruence. % 65.94/66.09 exact (zenon_H23a zenon_H247). % 65.94/66.09 apply zenon_H4c5. apply refl_equal. % 65.94/66.09 apply zenon_H4c5. apply refl_equal. % 65.94/66.09 elim (classic ((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11))))); [ zenon_intro zenon_H4c7 | zenon_intro zenon_H4c8 ]. % 65.94/66.09 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11)))) = ((op2 (e23) (e23)) = (op2 (h4 (e11)) (h4 (e11))))). % 65.94/66.09 intro zenon_D_pnotp. % 65.94/66.09 apply zenon_H4c2. % 65.94/66.09 rewrite <- zenon_D_pnotp. % 65.94/66.09 exact zenon_H4c7. % 65.94/66.09 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4c8]. % 65.94/66.09 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4c9]. % 65.94/66.09 congruence. % 65.94/66.09 cut (((op2 (e21) (e21)) = (e21)) = ((op2 (h4 (e11)) (h4 (e11))) = (op2 (e23) (e23)))). % 65.94/66.09 intro zenon_D_pnotp. % 65.94/66.09 apply zenon_H4c9. % 65.94/66.09 rewrite <- zenon_D_pnotp. % 65.94/66.09 exact zenon_H82. % 65.94/66.09 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 65.94/66.09 cut (((op2 (e21) (e21)) = (op2 (h4 (e11)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4ca]. % 65.94/66.09 congruence. % 65.94/66.09 elim (classic ((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11))))); [ zenon_intro zenon_H4c7 | zenon_intro zenon_H4c8 ]. % 65.94/66.09 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11)))) = ((op2 (e21) (e21)) = (op2 (h4 (e11)) (h4 (e11))))). % 65.94/66.09 intro zenon_D_pnotp. % 65.94/66.09 apply zenon_H4ca. % 65.94/66.09 rewrite <- zenon_D_pnotp. % 65.94/66.09 exact zenon_H4c7. % 65.94/66.09 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4c8]. % 65.94/66.09 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4cb]. % 65.94/66.09 congruence. % 65.94/66.09 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H47e]. % 65.94/66.09 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H47e]. % 65.94/66.09 congruence. % 65.94/66.09 apply (zenon_L849_); trivial. % 65.94/66.09 apply (zenon_L849_); trivial. % 65.94/66.09 apply zenon_H4c8. apply refl_equal. % 65.94/66.09 apply zenon_H4c8. apply refl_equal. % 65.94/66.09 exact (zenon_H10b zenon_H19). % 65.94/66.09 apply zenon_H4c8. apply refl_equal. % 65.94/66.09 apply zenon_H4c8. apply refl_equal. % 65.94/66.09 (* end of lemma zenon_L892_ *) % 65.94/66.09 assert (zenon_L893_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((op2 (e21) (e21)) = (e21)) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.94/66.09 do 0 intro. intros zenon_H369 zenon_H20c zenon_H19 zenon_H39a zenon_H82 zenon_H4c1 zenon_H249 zenon_H252 zenon_H24e zenon_H1eb zenon_H367 zenon_H25b zenon_H25a zenon_H272 zenon_H219. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H20a | zenon_intro zenon_H36a ]. % 65.94/66.09 apply (zenon_L238_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H247 | zenon_intro zenon_H36b ]. % 65.94/66.09 apply (zenon_L892_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H26e | zenon_intro zenon_H273 ]. % 65.94/66.09 apply (zenon_L347_); trivial. % 65.94/66.09 apply (zenon_L246_); trivial. % 65.94/66.09 (* end of lemma zenon_L893_ *) % 65.94/66.09 assert (zenon_L894_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e21)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.94/66.09 do 0 intro. intros zenon_H181 zenon_H3e zenon_H13a zenon_H219 zenon_H272 zenon_H25a zenon_H25b zenon_H367 zenon_H1eb zenon_H24e zenon_H252 zenon_H249 zenon_H4c1 zenon_H39a zenon_H20c zenon_H369 zenon_H102 zenon_H107 zenon_H26 zenon_H118 zenon_H72 zenon_H10f zenon_H109 zenon_H19. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.94/66.09 apply (zenon_L96_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.94/66.09 apply (zenon_L893_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.94/66.09 apply (zenon_L115_); trivial. % 65.94/66.09 apply (zenon_L100_); trivial. % 65.94/66.09 (* end of lemma zenon_L894_ *) % 65.94/66.09 assert (zenon_L895_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.94/66.09 do 0 intro. intros zenon_H197 zenon_H119 zenon_H181 zenon_H103 zenon_H164 zenon_H1a6 zenon_H1a9 zenon_Haa zenon_H17e zenon_H171 zenon_H150 zenon_H17a zenon_Hc6 zenon_H131 zenon_H14c zenon_H182 zenon_H102 zenon_H118 zenon_H72 zenon_H10f zenon_H109 zenon_H1a1 zenon_H3e zenon_H219 zenon_H272 zenon_H25a zenon_H25b zenon_H367 zenon_H1eb zenon_H24e zenon_H252 zenon_H249 zenon_H4c1 zenon_H39a zenon_H20c zenon_H369 zenon_H189 zenon_H8f zenon_H16b zenon_Hc5 zenon_H19 zenon_H13c zenon_H17 zenon_H142 zenon_H4f zenon_H44 zenon_H28 zenon_H6e zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_H33 zenon_H29 zenon_H26. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.94/66.09 exact (zenon_H17 zenon_H14). % 65.94/66.09 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.94/66.09 apply (zenon_L894_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.94/66.09 apply (zenon_L136_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.94/66.09 apply (zenon_L147_); trivial. % 65.94/66.09 apply (zenon_L72_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.94/66.09 apply (zenon_L148_); trivial. % 65.94/66.09 apply (zenon_L7_); trivial. % 65.94/66.09 (* end of lemma zenon_L895_ *) % 65.94/66.09 assert (zenon_L896_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.94/66.09 do 0 intro. intros zenon_H197 zenon_H119 zenon_H194 zenon_H109 zenon_H10f zenon_H72 zenon_H118 zenon_H102 zenon_H182 zenon_H131 zenon_H17a zenon_H150 zenon_H171 zenon_H17e zenon_Haa zenon_H103 zenon_H181 zenon_H193 zenon_Hde zenon_H1a1 zenon_H3e zenon_H219 zenon_H272 zenon_H25a zenon_H25b zenon_H367 zenon_H1eb zenon_H24e zenon_H252 zenon_H249 zenon_H4c1 zenon_H39a zenon_H20c zenon_H369 zenon_H189 zenon_H19 zenon_H96 zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H6e zenon_H28 zenon_H44 zenon_H4f zenon_H142 zenon_H17 zenon_H13c zenon_H16b zenon_H8f zenon_H1a6 zenon_H14c zenon_H164 zenon_H1a9 zenon_H1af zenon_H33 zenon_H29 zenon_H26. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.94/66.09 exact (zenon_H17 zenon_H14). % 65.94/66.09 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.94/66.09 apply (zenon_L894_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.94/66.09 apply (zenon_L136_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.94/66.09 apply (zenon_L153_); trivial. % 65.94/66.09 apply (zenon_L72_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.94/66.09 apply (zenon_L155_); trivial. % 65.94/66.09 apply (zenon_L7_); trivial. % 65.94/66.09 (* end of lemma zenon_L896_ *) % 65.94/66.09 assert (zenon_L897_ : ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((op2 (e23) (e22)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 65.94/66.09 do 0 intro. intros zenon_H1e2 zenon_H92 zenon_H45d zenon_H4cc. % 65.94/66.09 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1ad ]. % 65.94/66.09 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e21) (e20)) = (op2 (e23) (e20)))). % 65.94/66.09 intro zenon_D_pnotp. % 65.94/66.09 apply zenon_H4cc. % 65.94/66.09 rewrite <- zenon_D_pnotp. % 65.94/66.09 exact zenon_H1ac. % 65.94/66.09 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ad]. % 65.94/66.09 cut (((op2 (e23) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4cd]. % 65.94/66.09 congruence. % 65.94/66.09 cut (((op2 (e23) (op2 (e23) (e22))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e21) (e20)))). % 65.94/66.09 intro zenon_D_pnotp. % 65.94/66.09 apply zenon_H4cd. % 65.94/66.09 rewrite <- zenon_D_pnotp. % 65.94/66.09 exact zenon_H1e2. % 65.94/66.09 cut (((e23) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H460]. % 65.94/66.09 cut (((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H468]. % 65.94/66.09 congruence. % 65.94/66.09 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1ad ]. % 65.94/66.09 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (e20)))). % 65.94/66.09 intro zenon_D_pnotp. % 65.94/66.09 apply zenon_H468. % 65.94/66.09 rewrite <- zenon_D_pnotp. % 65.94/66.09 exact zenon_H1ac. % 65.94/66.09 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ad]. % 65.94/66.09 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H467]. % 65.94/66.09 congruence. % 65.94/66.09 apply (zenon_L735_); trivial. % 65.94/66.09 apply zenon_H1ad. apply refl_equal. % 65.94/66.09 apply zenon_H1ad. apply refl_equal. % 65.94/66.09 apply zenon_H460. apply sym_equal. exact zenon_H45d. % 65.94/66.09 apply zenon_H1ad. apply refl_equal. % 65.94/66.09 apply zenon_H1ad. apply refl_equal. % 65.94/66.09 (* end of lemma zenon_L897_ *) % 65.94/66.09 assert (zenon_L898_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e20)) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e23) (e23)) = (e20))) -> False). % 65.94/66.09 do 0 intro. intros zenon_H6e zenon_H44 zenon_H4f zenon_H9e zenon_H156 zenon_H109 zenon_H44d zenon_H119 zenon_H17a zenon_H1dd zenon_H33 zenon_H431 zenon_Hd9 zenon_H193 zenon_Hd0 zenon_H19a zenon_H96 zenon_H1e5 zenon_H1a6 zenon_H28 zenon_H19 zenon_Hba zenon_H56 zenon_H26 zenon_H1b zenon_H29 zenon_H4cc zenon_H45d zenon_H1e2 zenon_H9b. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.94/66.09 apply (zenon_L5_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.94/66.09 apply (zenon_L12_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.94/66.09 exact (zenon_H4f zenon_H4b). % 65.94/66.09 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H77 | zenon_intro zenon_Ha4 ]. % 65.94/66.09 apply (zenon_L747_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha5 ]. % 65.94/66.09 apply (zenon_L15_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 65.94/66.09 apply (zenon_L897_); trivial. % 65.94/66.09 exact (zenon_H9b zenon_H95). % 65.94/66.09 (* end of lemma zenon_L898_ *) % 65.94/66.09 assert (zenon_L899_ : ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 65.94/66.09 do 0 intro. intros zenon_H3a7 zenon_H29f zenon_H3fd zenon_H4ce. % 65.94/66.09 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H2fd | zenon_intro zenon_H2fe ]. % 65.94/66.09 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e11) (e10)) = (op1 (e13) (e10)))). % 65.94/66.09 intro zenon_D_pnotp. % 65.94/66.09 apply zenon_H4ce. % 65.94/66.09 rewrite <- zenon_D_pnotp. % 65.94/66.09 exact zenon_H2fd. % 65.94/66.09 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fe]. % 65.94/66.09 cut (((op1 (e13) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H4cf]. % 65.94/66.09 congruence. % 65.94/66.09 cut (((op1 (e13) (op1 (e13) (e12))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e11) (e10)))). % 65.94/66.09 intro zenon_D_pnotp. % 65.94/66.09 apply zenon_H4cf. % 65.94/66.09 rewrite <- zenon_D_pnotp. % 65.94/66.09 exact zenon_H3a7. % 65.94/66.09 cut (((e13) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H400]. % 65.94/66.09 cut (((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H4ba]. % 65.94/66.09 congruence. % 65.94/66.09 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H2fd | zenon_intro zenon_H2fe ]. % 65.94/66.09 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (e10)))). % 65.94/66.09 intro zenon_D_pnotp. % 65.94/66.09 apply zenon_H4ba. % 65.94/66.09 rewrite <- zenon_D_pnotp. % 65.94/66.09 exact zenon_H2fd. % 65.94/66.09 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fe]. % 65.94/66.09 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4b9]. % 65.94/66.09 congruence. % 65.94/66.09 apply (zenon_L875_); trivial. % 65.94/66.09 apply zenon_H2fe. apply refl_equal. % 65.94/66.09 apply zenon_H2fe. apply refl_equal. % 65.94/66.09 apply zenon_H400. apply sym_equal. exact zenon_H3fd. % 65.94/66.09 apply zenon_H2fe. apply refl_equal. % 65.94/66.09 apply zenon_H2fe. apply refl_equal. % 65.94/66.09 (* end of lemma zenon_L899_ *) % 65.94/66.09 assert (zenon_L900_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 65.94/66.09 do 0 intro. intros zenon_H3aa zenon_H4ce zenon_H3fd zenon_H360 zenon_H2c6 zenon_H219 zenon_H1eb zenon_H3a7 zenon_H2a4 zenon_H27d. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H29f | zenon_intro zenon_H3ab ]. % 65.94/66.09 apply (zenon_L899_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H361 | zenon_intro zenon_H3ac ]. % 65.94/66.09 apply (zenon_L343_); trivial. % 65.94/66.09 apply (zenon_or_s _ _ zenon_H3ac); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H33d ]. % 65.94/66.09 apply (zenon_L265_); trivial. % 65.94/66.09 apply (zenon_L400_); trivial. % 65.94/66.09 (* end of lemma zenon_L900_ *) % 65.94/66.09 assert (zenon_L901_ : (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op1 (e11) (e12)) = (e13)) -> ((op2 (e21) (e22)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.94/66.09 do 0 intro. intros zenon_H4d0 zenon_H4a2 zenon_H37b zenon_H1c5 zenon_H39a zenon_H19 zenon_H491 zenon_H26. % 65.94/66.09 cut (((h4 (e13)) = (e23)) = ((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))). % 65.94/66.09 intro zenon_D_pnotp. % 65.94/66.09 apply zenon_H4d0. % 65.94/66.09 rewrite <- zenon_D_pnotp. % 65.94/66.09 exact zenon_H4a2. % 65.94/66.09 cut (((e23) = (op2 (h4 (e11)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4d1]. % 65.96/66.09 cut (((h4 (e13)) = (h4 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4d2]. % 65.96/66.09 congruence. % 65.96/66.09 elim (classic ((h4 (op1 (e11) (e12))) = (h4 (op1 (e11) (e12))))); [ zenon_intro zenon_H4d3 | zenon_intro zenon_H4d4 ]. % 65.96/66.09 cut (((h4 (op1 (e11) (e12))) = (h4 (op1 (e11) (e12)))) = ((h4 (e13)) = (h4 (op1 (e11) (e12))))). % 65.96/66.09 intro zenon_D_pnotp. % 65.96/66.09 apply zenon_H4d2. % 65.96/66.09 rewrite <- zenon_D_pnotp. % 65.96/66.09 exact zenon_H4d3. % 65.96/66.09 cut (((h4 (op1 (e11) (e12))) = (h4 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4d4]. % 65.96/66.09 cut (((h4 (op1 (e11) (e12))) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H4d5]. % 65.96/66.09 congruence. % 65.96/66.09 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H4d6]. % 65.96/66.09 congruence. % 65.96/66.09 exact (zenon_H4d6 zenon_H37b). % 65.96/66.09 apply zenon_H4d4. apply refl_equal. % 65.96/66.09 apply zenon_H4d4. apply refl_equal. % 65.96/66.09 elim (classic ((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12))))); [ zenon_intro zenon_H4d7 | zenon_intro zenon_H4d8 ]. % 65.96/66.09 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12)))) = ((e23) = (op2 (h4 (e11)) (h4 (e12))))). % 65.96/66.09 intro zenon_D_pnotp. % 65.96/66.09 apply zenon_H4d1. % 65.96/66.09 rewrite <- zenon_D_pnotp. % 65.96/66.09 exact zenon_H4d7. % 65.96/66.09 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4d8]. % 65.96/66.09 cut (((op2 (h4 (e11)) (h4 (e12))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H4d9]. % 65.96/66.09 congruence. % 65.96/66.09 cut (((op2 (e21) (e22)) = (e23)) = ((op2 (h4 (e11)) (h4 (e12))) = (e23))). % 65.96/66.09 intro zenon_D_pnotp. % 65.96/66.09 apply zenon_H4d9. % 65.96/66.09 rewrite <- zenon_D_pnotp. % 65.96/66.09 exact zenon_H1c5. % 65.96/66.09 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 65.96/66.09 cut (((op2 (e21) (e22)) = (op2 (h4 (e11)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4da]. % 65.96/66.09 congruence. % 65.96/66.09 elim (classic ((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12))))); [ zenon_intro zenon_H4d7 | zenon_intro zenon_H4d8 ]. % 65.96/66.09 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12)))) = ((op2 (e21) (e22)) = (op2 (h4 (e11)) (h4 (e12))))). % 65.96/66.09 intro zenon_D_pnotp. % 65.96/66.09 apply zenon_H4da. % 65.96/66.09 rewrite <- zenon_D_pnotp. % 65.96/66.09 exact zenon_H4d7. % 65.96/66.09 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4d8]. % 65.96/66.09 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4db]. % 65.96/66.09 congruence. % 65.96/66.09 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H490]. % 65.96/66.09 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H47e]. % 65.96/66.09 congruence. % 65.96/66.09 apply (zenon_L849_); trivial. % 65.96/66.09 apply (zenon_L854_); trivial. % 65.96/66.09 apply zenon_H4d8. apply refl_equal. % 65.96/66.09 apply zenon_H4d8. apply refl_equal. % 65.96/66.09 apply zenon_H24. apply refl_equal. % 65.96/66.09 apply zenon_H4d8. apply refl_equal. % 65.96/66.09 apply zenon_H4d8. apply refl_equal. % 65.96/66.09 (* end of lemma zenon_L901_ *) % 65.96/66.09 assert (zenon_L902_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((op2 (e21) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False). % 65.96/66.09 do 0 intro. intros zenon_H4dc zenon_H27d zenon_H3a7 zenon_H1eb zenon_H2c6 zenon_H360 zenon_H4ce zenon_H3aa zenon_H219 zenon_H249 zenon_H252 zenon_H26 zenon_H491 zenon_H19 zenon_H39a zenon_H1c5 zenon_H4a2 zenon_H4d0 zenon_H328 zenon_H2a4. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H4dc); [ zenon_intro zenon_H3fd | zenon_intro zenon_H4dd ]. % 65.96/66.09 apply (zenon_L900_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H4dd); [ zenon_intro zenon_H253 | zenon_intro zenon_H4de ]. % 65.96/66.09 apply (zenon_L237_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H4de); [ zenon_intro zenon_H37b | zenon_intro zenon_H2d5 ]. % 65.96/66.09 apply (zenon_L901_); trivial. % 65.96/66.09 apply (zenon_L340_); trivial. % 65.96/66.09 (* end of lemma zenon_L902_ *) % 65.96/66.09 assert (zenon_L903_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False). % 65.96/66.09 do 0 intro. intros zenon_H3aa zenon_H4ce zenon_H3fd zenon_H360 zenon_H2c6 zenon_H219 zenon_H1eb zenon_H3a7 zenon_H33e zenon_H36e. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H29f | zenon_intro zenon_H3ab ]. % 65.96/66.09 apply (zenon_L899_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H361 | zenon_intro zenon_H3ac ]. % 65.96/66.09 apply (zenon_L343_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H3ac); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H33d ]. % 65.96/66.09 apply (zenon_L265_); trivial. % 65.96/66.09 apply (zenon_L404_); trivial. % 65.96/66.09 (* end of lemma zenon_L903_ *) % 65.96/66.09 assert (zenon_L904_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((op2 (e21) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False). % 65.96/66.09 do 0 intro. intros zenon_H382 zenon_H2f7 zenon_H343 zenon_H1fa zenon_H1f4 zenon_H1ed zenon_H227 zenon_H299 zenon_H2a9 zenon_H329 zenon_H212 zenon_H24e zenon_H320 zenon_H3aa zenon_H4ce zenon_H360 zenon_H2c6 zenon_H3a7 zenon_H36e zenon_H4dc zenon_H3ea zenon_H249 zenon_H252 zenon_H26 zenon_H491 zenon_H19 zenon_H39a zenon_H1c5 zenon_H4a2 zenon_H4d0 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H27d zenon_H219 zenon_H1eb zenon_H328. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H375 | zenon_intro zenon_H383 ]. % 65.96/66.09 apply (zenon_L362_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H24f | zenon_intro zenon_H384 ]. % 65.96/66.09 apply (zenon_L236_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H2bf | zenon_intro zenon_H312 ]. % 65.96/66.09 apply (zenon_L863_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.96/66.09 apply (zenon_L225_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.96/66.09 apply (zenon_L236_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.96/66.09 apply (zenon_L311_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H4dc); [ zenon_intro zenon_H3fd | zenon_intro zenon_H4dd ]. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H3ea); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H3eb ]. % 65.96/66.09 apply (zenon_L902_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H3eb); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H3ec ]. % 65.96/66.09 apply (zenon_L865_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H3ec); [ zenon_intro zenon_H33e | zenon_intro zenon_H308 ]. % 65.96/66.09 apply (zenon_L903_); trivial. % 65.96/66.09 apply (zenon_L477_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H4dd); [ zenon_intro zenon_H253 | zenon_intro zenon_H4de ]. % 65.96/66.09 apply (zenon_L237_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H4de); [ zenon_intro zenon_H37b | zenon_intro zenon_H2d5 ]. % 65.96/66.09 apply (zenon_L901_); trivial. % 65.96/66.09 apply (zenon_L865_); trivial. % 65.96/66.09 (* end of lemma zenon_L904_ *) % 65.96/66.09 assert (zenon_L905_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e23) (e23)) = (e20))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.96/66.09 do 0 intro. intros zenon_H1af zenon_H13c zenon_H8f zenon_H4a zenon_H4af zenon_Hc6 zenon_H123 zenon_H119 zenon_H33 zenon_H29 zenon_H12b zenon_H382 zenon_H2f7 zenon_H343 zenon_H1fa zenon_H1f4 zenon_H1ed zenon_H227 zenon_H299 zenon_H2a9 zenon_H329 zenon_H212 zenon_H24e zenon_H320 zenon_H3aa zenon_H4ce zenon_H360 zenon_H2c6 zenon_H3a7 zenon_H36e zenon_H4dc zenon_H3ea zenon_H249 zenon_H252 zenon_H491 zenon_H39a zenon_H4a2 zenon_H4d0 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H27d zenon_H219 zenon_H1eb zenon_H328 zenon_H109 zenon_H102 zenon_H6e zenon_H44 zenon_H4f zenon_H9e zenon_H44d zenon_H17a zenon_H1dd zenon_H431 zenon_Hd9 zenon_H193 zenon_Hd0 zenon_H19a zenon_H1e5 zenon_H1a6 zenon_H28 zenon_Hba zenon_H56 zenon_H1b zenon_H4cc zenon_H1e2 zenon_H9b zenon_H4df zenon_H8a zenon_H107 zenon_H9c zenon_H131 zenon_H14c zenon_H182 zenon_H96 zenon_H26 zenon_H19. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H145 | zenon_intro zenon_H1b0 ]. % 65.96/66.09 apply (zenon_L123_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 65.96/66.09 apply (zenon_L156_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H1aa ]. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H14d | zenon_intro zenon_H185 ]. % 65.96/66.09 apply (zenon_L157_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H186 ]. % 65.96/66.09 apply (zenon_L63_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H156 ]. % 65.96/66.09 apply (zenon_L107_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.96/66.09 apply (zenon_L19_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.96/66.09 apply (zenon_L63_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.96/66.09 apply (zenon_L33_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H4df); [ zenon_intro zenon_H45d | zenon_intro zenon_H4e0 ]. % 65.96/66.09 apply (zenon_L898_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H4e0); [ zenon_intro zenon_H10a | zenon_intro zenon_H4e1 ]. % 65.96/66.09 apply (zenon_L64_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H4e1); [ zenon_intro zenon_H1c5 | zenon_intro zenon_He2 ]. % 65.96/66.09 apply (zenon_L904_); trivial. % 65.96/66.09 apply (zenon_L869_); trivial. % 65.96/66.09 apply (zenon_L154_); trivial. % 65.96/66.09 (* end of lemma zenon_L905_ *) % 65.96/66.09 assert (zenon_L906_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e20))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e22)) = (e22)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> False). % 65.96/66.09 do 0 intro. intros zenon_H182 zenon_Hc5 zenon_H14c zenon_H131 zenon_H9c zenon_H107 zenon_H8a zenon_H4df zenon_H9b zenon_H1e2 zenon_H4cc zenon_H1b zenon_H56 zenon_Hba zenon_H28 zenon_H1a6 zenon_H1e5 zenon_H96 zenon_H19a zenon_Hd0 zenon_H193 zenon_Hd9 zenon_H431 zenon_H1dd zenon_H17a zenon_H44d zenon_H9e zenon_H4f zenon_H44 zenon_H6e zenon_H102 zenon_H109 zenon_H2a4 zenon_H328 zenon_H4d0 zenon_H4a2 zenon_H39a zenon_H491 zenon_H252 zenon_H249 zenon_H219 zenon_H3aa zenon_H4ce zenon_H360 zenon_H2c6 zenon_H1eb zenon_H3a7 zenon_H27d zenon_H4dc zenon_H12b zenon_H29 zenon_H33 zenon_H119 zenon_H123 zenon_H19 zenon_Hc6 zenon_H26 zenon_H4af. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H14d | zenon_intro zenon_H185 ]. % 65.96/66.09 apply (zenon_L157_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H186 ]. % 65.96/66.09 apply (zenon_L63_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H156 ]. % 65.96/66.09 apply (zenon_L107_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.96/66.09 apply (zenon_L19_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.96/66.09 apply (zenon_L63_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.96/66.09 apply (zenon_L33_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H4df); [ zenon_intro zenon_H45d | zenon_intro zenon_H4e0 ]. % 65.96/66.09 apply (zenon_L898_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H4e0); [ zenon_intro zenon_H10a | zenon_intro zenon_H4e1 ]. % 65.96/66.09 apply (zenon_L64_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H4e1); [ zenon_intro zenon_H1c5 | zenon_intro zenon_He2 ]. % 65.96/66.09 apply (zenon_L902_); trivial. % 65.96/66.09 apply (zenon_L869_); trivial. % 65.96/66.09 (* end of lemma zenon_L906_ *) % 65.96/66.09 assert (zenon_L907_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e20))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 65.96/66.09 do 0 intro. intros zenon_H194 zenon_H19 zenon_H26 zenon_H96 zenon_H182 zenon_H14c zenon_H131 zenon_H9c zenon_H107 zenon_H8a zenon_H4df zenon_H9b zenon_H1e2 zenon_H4cc zenon_H1b zenon_H56 zenon_Hba zenon_H28 zenon_H1a6 zenon_H1e5 zenon_H19a zenon_Hd0 zenon_Hd9 zenon_H431 zenon_H1dd zenon_H17a zenon_H44d zenon_H9e zenon_H4f zenon_H44 zenon_H6e zenon_H102 zenon_H109 zenon_H328 zenon_H1eb zenon_H219 zenon_H27d zenon_H21e zenon_H1ee zenon_H2b4 zenon_H4d0 zenon_H4a2 zenon_H39a zenon_H491 zenon_H252 zenon_H249 zenon_H3ea zenon_H4dc zenon_H36e zenon_H3a7 zenon_H2c6 zenon_H360 zenon_H4ce zenon_H3aa zenon_H320 zenon_H24e zenon_H212 zenon_H329 zenon_H2a9 zenon_H299 zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1fa zenon_H343 zenon_H2f7 zenon_H382 zenon_H12b zenon_H29 zenon_H33 zenon_H119 zenon_H123 zenon_H4af zenon_H4a zenon_H8f zenon_H13c zenon_H1af zenon_H193 zenon_Hde. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H145 | zenon_intro zenon_H195 ]. % 65.96/66.09 apply (zenon_L123_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H63 | zenon_intro zenon_H196 ]. % 65.96/66.09 apply (zenon_L19_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H122 ]. % 65.96/66.09 apply (zenon_L905_); trivial. % 65.96/66.09 apply (zenon_L128_); trivial. % 65.96/66.09 (* end of lemma zenon_L907_ *) % 65.96/66.09 assert (zenon_L908_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e20))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 65.96/66.09 do 0 intro. intros zenon_H194 zenon_H19 zenon_H26 zenon_H96 zenon_H182 zenon_H14c zenon_H131 zenon_H9c zenon_H107 zenon_H8a zenon_H4df zenon_H9b zenon_H1e2 zenon_H4cc zenon_H1b zenon_H56 zenon_Hba zenon_H28 zenon_H1a6 zenon_H1e5 zenon_H19a zenon_Hd0 zenon_Hd9 zenon_H431 zenon_H1dd zenon_H17a zenon_H44d zenon_H9e zenon_H4f zenon_H44 zenon_H6e zenon_H102 zenon_H109 zenon_H2a4 zenon_H328 zenon_H4d0 zenon_H4a2 zenon_H39a zenon_H491 zenon_H252 zenon_H249 zenon_H219 zenon_H3aa zenon_H4ce zenon_H360 zenon_H2c6 zenon_H1eb zenon_H3a7 zenon_H27d zenon_H4dc zenon_H12b zenon_H29 zenon_H33 zenon_H119 zenon_H123 zenon_H4af zenon_H8f zenon_H135 zenon_H1af zenon_H193 zenon_Hde. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H145 | zenon_intro zenon_H195 ]. % 65.96/66.09 apply (zenon_L207_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H63 | zenon_intro zenon_H196 ]. % 65.96/66.09 apply (zenon_L19_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H122 ]. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H145 | zenon_intro zenon_H1b0 ]. % 65.96/66.09 apply (zenon_L207_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 65.96/66.09 apply (zenon_L140_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H1aa ]. % 65.96/66.09 apply (zenon_L906_); trivial. % 65.96/66.09 apply (zenon_L154_); trivial. % 65.96/66.09 apply (zenon_L128_); trivial. % 65.96/66.09 (* end of lemma zenon_L908_ *) % 65.96/66.09 assert (zenon_L909_ : (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op2 (e21) (e23)) = (e22)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> False). % 65.96/66.09 do 0 intro. intros zenon_H4e2 zenon_H491 zenon_H312 zenon_H156 zenon_H26 zenon_H39a zenon_H19 zenon_H4a2. % 65.96/66.09 cut (((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) = ((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))). % 65.96/66.09 intro zenon_D_pnotp. % 65.96/66.09 apply zenon_H4e2. % 65.96/66.09 rewrite <- zenon_D_pnotp. % 65.96/66.09 exact zenon_H491. % 65.96/66.09 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (h4 (e11)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4e3]. % 65.96/66.09 cut (((h4 (e12)) = (h4 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4e4]. % 65.96/66.09 congruence. % 65.96/66.09 elim (classic ((h4 (op1 (e11) (e13))) = (h4 (op1 (e11) (e13))))); [ zenon_intro zenon_H4e5 | zenon_intro zenon_H4e6 ]. % 65.96/66.09 cut (((h4 (op1 (e11) (e13))) = (h4 (op1 (e11) (e13)))) = ((h4 (e12)) = (h4 (op1 (e11) (e13))))). % 65.96/66.09 intro zenon_D_pnotp. % 65.96/66.09 apply zenon_H4e4. % 65.96/66.09 rewrite <- zenon_D_pnotp. % 65.96/66.09 exact zenon_H4e5. % 65.96/66.09 cut (((h4 (op1 (e11) (e13))) = (h4 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4e6]. % 65.96/66.09 cut (((h4 (op1 (e11) (e13))) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4e7]. % 65.96/66.09 congruence. % 65.96/66.09 cut (((op1 (e11) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H3ed]. % 65.96/66.09 congruence. % 65.96/66.09 exact (zenon_H3ed zenon_H312). % 65.96/66.09 apply zenon_H4e6. apply refl_equal. % 65.96/66.09 apply zenon_H4e6. apply refl_equal. % 65.96/66.09 elim (classic ((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13))))); [ zenon_intro zenon_H4e8 | zenon_intro zenon_H4e9 ]. % 65.96/66.09 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13)))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (h4 (e11)) (h4 (e13))))). % 65.96/66.09 intro zenon_D_pnotp. % 65.96/66.09 apply zenon_H4e3. % 65.96/66.09 rewrite <- zenon_D_pnotp. % 65.96/66.09 exact zenon_H4e8. % 65.96/66.09 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4e9]. % 65.96/66.09 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H4ea]. % 65.96/66.09 congruence. % 65.96/66.09 cut (((op2 (e21) (e23)) = (e22)) = ((op2 (h4 (e11)) (h4 (e13))) = (op2 (e23) (op2 (e23) (e23))))). % 65.96/66.09 intro zenon_D_pnotp. % 65.96/66.09 apply zenon_H4ea. % 65.96/66.09 rewrite <- zenon_D_pnotp. % 65.96/66.09 exact zenon_H156. % 65.96/66.09 cut (((e22) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H49c]. % 65.96/66.09 cut (((op2 (e21) (e23)) = (op2 (h4 (e11)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4eb]. % 65.96/66.09 congruence. % 65.96/66.09 elim (classic ((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13))))); [ zenon_intro zenon_H4e8 | zenon_intro zenon_H4e9 ]. % 65.96/66.09 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13)))) = ((op2 (e21) (e23)) = (op2 (h4 (e11)) (h4 (e13))))). % 65.96/66.09 intro zenon_D_pnotp. % 65.96/66.09 apply zenon_H4eb. % 65.96/66.09 rewrite <- zenon_D_pnotp. % 65.96/66.09 exact zenon_H4e8. % 65.96/66.09 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4e9]. % 65.96/66.09 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4ec]. % 65.96/66.09 congruence. % 65.96/66.09 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H4ae]. % 65.96/66.09 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H47e]. % 65.96/66.09 congruence. % 65.96/66.09 apply (zenon_L849_); trivial. % 65.96/66.09 exact (zenon_H4ae zenon_H4a2). % 65.96/66.09 apply zenon_H4e9. apply refl_equal. % 65.96/66.09 apply zenon_H4e9. apply refl_equal. % 65.96/66.09 exact (zenon_H49c zenon_H26). % 65.96/66.09 apply zenon_H4e9. apply refl_equal. % 65.96/66.09 apply zenon_H4e9. apply refl_equal. % 65.96/66.09 (* end of lemma zenon_L909_ *) % 65.96/66.09 assert (zenon_L910_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e10) (e12)) = (e12)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> False). % 65.96/66.09 do 0 intro. intros zenon_H182 zenon_Hc5 zenon_H14c zenon_H131 zenon_Hc6 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_H382 zenon_H2f7 zenon_H343 zenon_H1fa zenon_H1ee zenon_H1f4 zenon_H1ed zenon_H227 zenon_H299 zenon_H219 zenon_H2a9 zenon_H1eb zenon_H320 zenon_H24e zenon_H212 zenon_H329 zenon_H4e2 zenon_H491 zenon_H26 zenon_H39a zenon_H19 zenon_H4a2. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H14d | zenon_intro zenon_H185 ]. % 65.96/66.09 apply (zenon_L157_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H186 ]. % 65.96/66.09 apply (zenon_L63_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H156 ]. % 65.96/66.09 apply (zenon_L107_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H375 | zenon_intro zenon_H383 ]. % 65.96/66.09 apply (zenon_L362_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H24f | zenon_intro zenon_H384 ]. % 65.96/66.09 apply (zenon_L236_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H2bf | zenon_intro zenon_H312 ]. % 65.96/66.09 apply (zenon_L863_); trivial. % 65.96/66.09 apply (zenon_L909_); trivial. % 65.96/66.09 (* end of lemma zenon_L910_ *) % 65.96/66.09 assert (zenon_L911_ : (((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> False). % 65.96/66.09 do 0 intro. intros zenon_H2b2 zenon_H182 zenon_Hc5 zenon_H14c zenon_H131 zenon_Hc6 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_H382 zenon_H2f7 zenon_H343 zenon_H1fa zenon_H1ee zenon_H1f4 zenon_H1ed zenon_H227 zenon_H299 zenon_H219 zenon_H1eb zenon_H320 zenon_H24e zenon_H212 zenon_H329 zenon_H4e2 zenon_H491 zenon_H26 zenon_H39a zenon_H19 zenon_H4a2. % 65.96/66.09 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.96/66.09 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.96/66.09 apply (zenon_L910_); trivial. % 65.96/66.09 (* end of lemma zenon_L911_ *) % 65.96/66.09 assert (zenon_L912_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e13)) = (e13)) -> (~((e12) = (e13))) -> ((h4 (e13)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.96/66.09 do 0 intro. intros zenon_H182 zenon_H14c zenon_H1a6 zenon_H4f zenon_H44 zenon_H29 zenon_H28 zenon_H6e zenon_H131 zenon_Hc6 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_H227 zenon_H1ee zenon_H1f4 zenon_H1ff zenon_H3b8 zenon_H2a4 zenon_H30f zenon_H4a2 zenon_H19 zenon_H39a zenon_H26 zenon_H491 zenon_H4e2 zenon_H343 zenon_H1ed zenon_H1eb zenon_H219 zenon_H272. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H14d | zenon_intro zenon_H185 ]. % 65.96/66.09 apply (zenon_L140_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H186 ]. % 65.96/66.09 apply (zenon_L63_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H156 ]. % 65.96/66.09 apply (zenon_L107_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.96/66.09 apply (zenon_L214_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.96/66.09 apply (zenon_L215_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.96/66.09 exact (zenon_H1ff zenon_H1fb). % 65.96/66.09 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_H297 | zenon_intro zenon_H3b9 ]. % 65.96/66.09 apply (zenon_L304_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_H312 | zenon_intro zenon_H3ba ]. % 65.96/66.09 apply (zenon_L909_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H3ba); [ zenon_intro zenon_H2ce | zenon_intro zenon_H38e ]. % 65.96/66.09 apply (zenon_L321_); trivial. % 65.96/66.09 apply (zenon_L387_); trivial. % 65.96/66.09 (* end of lemma zenon_L912_ *) % 65.96/66.09 assert (zenon_L913_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op1 (e10) (op1 (e10) (e10))) = (e10))\/(((op1 (e11) (op1 (e11) (e10))) = (e11))\/(((op1 (e12) (op1 (e12) (e10))) = (e12))\/((op1 (e13) (op1 (e13) (e10))) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((h4 (e13)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (op1 (e10) (e12))) = (e10))\/(((op1 (e11) (op1 (e11) (e12))) = (e11))\/(((op1 (e12) (op1 (e12) (e12))) = (e12))\/((op1 (e13) (op1 (e13) (e12))) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (op1 (e10) (e11))) = (e10))\/(((op1 (e11) (op1 (e11) (e11))) = (e11))\/(((op1 (e12) (op1 (e12) (e11))) = (e12))\/((op1 (e13) (op1 (e13) (e11))) = (e13))))) -> (~((e12) = (e13))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.96/66.09 do 0 intro. intros zenon_Hc3 zenon_H48d zenon_H2a1 zenon_H2eb zenon_H2b3 zenon_H3c1 zenon_H293 zenon_H284 zenon_H329 zenon_H37f zenon_H2df zenon_H300 zenon_H2af zenon_H3f0 zenon_H3d0 zenon_H348 zenon_H303 zenon_H2d8 zenon_H354 zenon_H369 zenon_H328 zenon_H2aa zenon_H182 zenon_H14c zenon_H1a6 zenon_H44 zenon_H29 zenon_H28 zenon_H6e zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_H4a2 zenon_H19 zenon_H39a zenon_H26 zenon_H491 zenon_H4e2 zenon_H382 zenon_H3c7 zenon_H3c4 zenon_H29e zenon_H3cd zenon_H2ef zenon_H3d1 zenon_H364 zenon_H299 zenon_H360 zenon_H2e8 zenon_H372 zenon_H26b zenon_H2f7 zenon_H367 zenon_H265 zenon_H401 zenon_H2f4 zenon_H3ef zenon_H3b4 zenon_H24e zenon_H25a zenon_H228 zenon_H20c zenon_H204 zenon_H215 zenon_H212 zenon_H404 zenon_H30f zenon_H32c zenon_H3e3 zenon_H392 zenon_H414 zenon_H2c6 zenon_H1ed zenon_H320 zenon_H342 zenon_H347 zenon_H1fa zenon_H1f4 zenon_H227 zenon_H2e4 zenon_H31d zenon_H35d zenon_H40d zenon_H353 zenon_H36e zenon_H252 zenon_H3b8 zenon_H3ea zenon_H27d zenon_H3db zenon_H38a zenon_H2fa zenon_H3cb zenon_H3d6 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H1eb zenon_H219 zenon_H272. % 65.96/66.09 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.96/66.09 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.96/66.09 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.96/66.09 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.96/66.09 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.96/66.09 apply (zenon_L227_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.96/66.09 apply (zenon_L329_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.96/66.09 apply (zenon_L337_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.96/66.09 apply (zenon_L360_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.96/66.09 apply (zenon_L228_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.96/66.09 apply (zenon_L229_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.96/66.09 apply (zenon_L230_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.96/66.09 apply (zenon_L232_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.96/66.09 apply (zenon_L239_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.96/66.09 apply (zenon_L240_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.96/66.09 apply (zenon_L245_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.96/66.09 apply (zenon_L247_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.96/66.09 apply (zenon_L911_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.96/66.09 apply (zenon_L263_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.96/66.09 apply (zenon_L264_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.96/66.09 apply (zenon_L266_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.96/66.09 apply (zenon_L375_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.96/66.09 apply (zenon_L269_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.96/66.09 apply (zenon_L377_); trivial. % 65.96/66.09 apply (zenon_L301_); trivial. % 65.96/66.09 apply (zenon_L328_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.96/66.09 apply (zenon_L394_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.96/66.09 apply (zenon_L860_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.96/66.09 apply (zenon_L861_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.96/66.09 apply (zenon_L228_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.96/66.09 apply (zenon_L229_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.96/66.09 apply (zenon_L230_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.96/66.09 apply (zenon_L232_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.96/66.09 apply (zenon_L239_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.96/66.09 apply (zenon_L240_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.96/66.09 apply (zenon_L245_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.96/66.09 apply (zenon_L247_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.96/66.09 apply (zenon_L911_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.96/66.09 apply (zenon_L263_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.96/66.09 apply (zenon_L264_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.96/66.09 apply (zenon_L266_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.96/66.09 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.96/66.09 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.96/66.09 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.96/66.09 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.96/66.09 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.96/66.09 apply (zenon_L912_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.96/66.09 apply (zenon_L269_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.96/66.09 apply (zenon_L405_); trivial. % 65.96/66.09 apply (zenon_L301_); trivial. % 65.96/66.09 apply (zenon_L328_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.96/66.09 apply (zenon_L415_); trivial. % 65.96/66.09 apply (zenon_L485_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.96/66.09 apply (zenon_L529_); trivial. % 65.96/66.09 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.96/66.09 apply (zenon_L559_); trivial. % 65.96/66.09 apply (zenon_L587_); trivial. % 65.96/66.09 (* end of lemma zenon_L913_ *) % 65.96/66.09 assert (zenon_L914_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e10) (e12)) = (e12)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 65.96/66.10 do 0 intro. intros zenon_H194 zenon_H19 zenon_H26 zenon_H96 zenon_H182 zenon_H14c zenon_H131 zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_H382 zenon_H2f7 zenon_H343 zenon_H1fa zenon_H1ee zenon_H1f4 zenon_H1ed zenon_H227 zenon_H299 zenon_H219 zenon_H2a9 zenon_H1eb zenon_H320 zenon_H24e zenon_H212 zenon_H329 zenon_H4e2 zenon_H491 zenon_H39a zenon_H4a2 zenon_H6e zenon_H28 zenon_H44 zenon_H29 zenon_H4a zenon_H1a6 zenon_H8f zenon_H1b zenon_H13c zenon_H1af zenon_H193 zenon_Hde. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H145 | zenon_intro zenon_H195 ]. % 65.96/66.10 apply (zenon_L123_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H63 | zenon_intro zenon_H196 ]. % 65.96/66.10 apply (zenon_L19_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H122 ]. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H145 | zenon_intro zenon_H1b0 ]. % 65.96/66.10 apply (zenon_L123_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 65.96/66.10 apply (zenon_L156_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H1aa ]. % 65.96/66.10 apply (zenon_L910_); trivial. % 65.96/66.10 apply (zenon_L154_); trivial. % 65.96/66.10 apply (zenon_L128_); trivial. % 65.96/66.10 (* end of lemma zenon_L914_ *) % 65.96/66.10 assert (zenon_L915_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e21)) = (e20)) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> (~((e12) = (e13))) -> ((op1 (e10) (e13)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 65.96/66.10 do 0 intro. intros zenon_H194 zenon_H13c zenon_H1b zenon_H8f zenon_H272 zenon_H219 zenon_H1eb zenon_H1ed zenon_H343 zenon_H4e2 zenon_H491 zenon_H26 zenon_H39a zenon_H19 zenon_H4a2 zenon_H30f zenon_H2a4 zenon_H3b8 zenon_H1ff zenon_H1f4 zenon_H1ee zenon_H227 zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H131 zenon_H6e zenon_H28 zenon_H29 zenon_H44 zenon_H4f zenon_H1a6 zenon_H14c zenon_H182 zenon_H193 zenon_Hde. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H145 | zenon_intro zenon_H195 ]. % 65.96/66.10 apply (zenon_L123_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H63 | zenon_intro zenon_H196 ]. % 65.96/66.10 apply (zenon_L19_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H122 ]. % 65.96/66.10 apply (zenon_L912_); trivial. % 65.96/66.10 apply (zenon_L128_); trivial. % 65.96/66.10 (* end of lemma zenon_L915_ *) % 65.96/66.10 assert (zenon_L916_ : ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op1 (e12) (e10)) = (e12)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((e22) = (h4 (op1 (e12) (e10))))) -> False). % 65.96/66.10 do 0 intro. intros zenon_H491 zenon_H2b6 zenon_H26 zenon_H4ed. % 65.96/66.10 elim (classic ((h4 (op1 (e12) (e10))) = (h4 (op1 (e12) (e10))))); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4ef ]. % 65.96/66.10 cut (((h4 (op1 (e12) (e10))) = (h4 (op1 (e12) (e10)))) = ((e22) = (h4 (op1 (e12) (e10))))). % 65.96/66.10 intro zenon_D_pnotp. % 65.96/66.10 apply zenon_H4ed. % 65.96/66.10 rewrite <- zenon_D_pnotp. % 65.96/66.10 exact zenon_H4ee. % 65.96/66.10 cut (((h4 (op1 (e12) (e10))) = (h4 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4ef]. % 65.96/66.10 cut (((h4 (op1 (e12) (e10))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4f0]. % 65.96/66.10 congruence. % 65.96/66.10 cut (((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) = ((h4 (op1 (e12) (e10))) = (e22))). % 65.96/66.10 intro zenon_D_pnotp. % 65.96/66.10 apply zenon_H4f0. % 65.96/66.10 rewrite <- zenon_D_pnotp. % 65.96/66.10 exact zenon_H491. % 65.96/66.10 cut (((op2 (e23) (op2 (e23) (e23))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 65.96/66.10 cut (((h4 (e12)) = (h4 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4f1]. % 65.96/66.10 congruence. % 65.96/66.10 elim (classic ((h4 (op1 (e12) (e10))) = (h4 (op1 (e12) (e10))))); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4ef ]. % 65.96/66.10 cut (((h4 (op1 (e12) (e10))) = (h4 (op1 (e12) (e10)))) = ((h4 (e12)) = (h4 (op1 (e12) (e10))))). % 65.96/66.10 intro zenon_D_pnotp. % 65.96/66.10 apply zenon_H4f1. % 65.96/66.10 rewrite <- zenon_D_pnotp. % 65.96/66.10 exact zenon_H4ee. % 65.96/66.10 cut (((h4 (op1 (e12) (e10))) = (h4 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4ef]. % 65.96/66.10 cut (((h4 (op1 (e12) (e10))) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4f2]. % 65.96/66.10 congruence. % 65.96/66.10 cut (((op1 (e12) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H4f3]. % 65.96/66.10 congruence. % 65.96/66.10 exact (zenon_H4f3 zenon_H2b6). % 65.96/66.10 apply zenon_H4ef. apply refl_equal. % 65.96/66.10 apply zenon_H4ef. apply refl_equal. % 65.96/66.10 apply zenon_H27. apply sym_equal. exact zenon_H26. % 65.96/66.10 apply zenon_H4ef. apply refl_equal. % 65.96/66.10 apply zenon_H4ef. apply refl_equal. % 65.96/66.10 (* end of lemma zenon_L916_ *) % 65.96/66.10 assert (zenon_L917_ : ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op1 (e12) (e10)) = (e12)) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> False). % 65.96/66.10 do 0 intro. intros zenon_H1a6 zenon_H396 zenon_H491 zenon_H26 zenon_H2b6 zenon_H4f4. % 65.96/66.10 elim (classic ((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10))))); [ zenon_intro zenon_H4f5 | zenon_intro zenon_H4f6 ]. % 65.96/66.10 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10)))) = ((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))). % 65.96/66.10 intro zenon_D_pnotp. % 65.96/66.10 apply zenon_H4f4. % 65.96/66.10 rewrite <- zenon_D_pnotp. % 65.96/66.10 exact zenon_H4f5. % 65.96/66.10 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4f6]. % 65.96/66.10 cut (((op2 (h4 (e12)) (h4 (e10))) = (h4 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4f7]. % 65.96/66.10 congruence. % 65.96/66.10 cut (((op2 (e22) (op2 (e22) (e23))) = (e22)) = ((op2 (h4 (e12)) (h4 (e10))) = (h4 (op1 (e12) (e10))))). % 65.96/66.10 intro zenon_D_pnotp. % 65.96/66.10 apply zenon_H4f7. % 65.96/66.10 rewrite <- zenon_D_pnotp. % 65.96/66.10 exact zenon_H1a6. % 65.96/66.10 cut (((e22) = (h4 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4ed]. % 65.96/66.10 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (h4 (e12)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4f8]. % 65.96/66.10 congruence. % 65.96/66.10 elim (classic ((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10))))); [ zenon_intro zenon_H4f5 | zenon_intro zenon_H4f6 ]. % 65.96/66.10 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10)))) = ((op2 (e22) (op2 (e22) (e23))) = (op2 (h4 (e12)) (h4 (e10))))). % 65.96/66.10 intro zenon_D_pnotp. % 65.96/66.10 apply zenon_H4f8. % 65.96/66.10 rewrite <- zenon_D_pnotp. % 65.96/66.10 exact zenon_H4f5. % 65.96/66.10 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4f6]. % 65.96/66.10 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H4f9]. % 65.96/66.10 congruence. % 65.96/66.10 cut (((h4 (e10)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4fa]. % 65.96/66.10 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H490]. % 65.96/66.10 congruence. % 65.96/66.10 apply (zenon_L854_); trivial. % 65.96/66.10 cut (((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((h4 (e10)) = (op2 (e22) (e23)))). % 65.96/66.10 intro zenon_D_pnotp. % 65.96/66.10 apply zenon_H4fa. % 65.96/66.10 rewrite <- zenon_D_pnotp. % 65.96/66.10 exact zenon_H396. % 65.96/66.10 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25]. % 65.96/66.10 cut (((h4 (e10)) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H398]. % 65.96/66.10 congruence. % 65.96/66.10 apply zenon_H398. apply refl_equal. % 65.96/66.10 apply (zenon_L4_); trivial. % 65.96/66.10 apply zenon_H4f6. apply refl_equal. % 65.96/66.10 apply zenon_H4f6. apply refl_equal. % 65.96/66.10 apply (zenon_L916_); trivial. % 65.96/66.10 apply zenon_H4f6. apply refl_equal. % 65.96/66.10 apply zenon_H4f6. apply refl_equal. % 65.96/66.10 (* end of lemma zenon_L917_ *) % 65.96/66.10 assert (zenon_L918_ : (((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> False). % 65.96/66.10 do 0 intro. intros zenon_H2b2 zenon_H1a6 zenon_H396 zenon_H491 zenon_H26 zenon_H4f4. % 65.96/66.10 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.96/66.10 apply (zenon_L917_); trivial. % 65.96/66.10 (* end of lemma zenon_L918_ *) % 65.96/66.10 assert (zenon_L919_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))\/(((op1 (e11) (op1 (e11) (e10))) = (e11))\/(((op1 (e12) (op1 (e12) (e10))) = (e12))\/((op1 (e13) (op1 (e13) (e10))) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (op1 (e10) (e12))) = (e10))\/(((op1 (e11) (op1 (e11) (e12))) = (e11))\/(((op1 (e12) (op1 (e12) (e12))) = (e12))\/((op1 (e13) (op1 (e13) (e12))) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (op1 (e10) (e11))) = (e10))\/(((op1 (e11) (op1 (e11) (e11))) = (e11))\/(((op1 (e12) (op1 (e12) (e11))) = (e12))\/((op1 (e13) (op1 (e13) (e11))) = (e13))))) -> (~((e12) = (e13))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.96/66.10 do 0 intro. intros zenon_H48d zenon_H2a1 zenon_H2eb zenon_H2b3 zenon_H3c1 zenon_H293 zenon_H284 zenon_H329 zenon_H37f zenon_H2df zenon_H300 zenon_H2af zenon_H3f0 zenon_H3d0 zenon_H382 zenon_H348 zenon_H303 zenon_H2d8 zenon_H354 zenon_H369 zenon_H328 zenon_H2aa zenon_H1a6 zenon_H396 zenon_H491 zenon_H26 zenon_H4f4 zenon_H4fb zenon_H3aa zenon_H3c7 zenon_H3c4 zenon_H29e zenon_H3cd zenon_H2ef zenon_H3d1 zenon_H364 zenon_H299 zenon_H360 zenon_H2e8 zenon_H372 zenon_H26b zenon_H2f7 zenon_H367 zenon_H265 zenon_H401 zenon_H2f4 zenon_H3ef zenon_H3b4 zenon_H24e zenon_H25a zenon_H228 zenon_H20c zenon_H204 zenon_H215 zenon_H212 zenon_H404 zenon_H30f zenon_H32c zenon_H3e3 zenon_H392 zenon_H414 zenon_H2c6 zenon_H1ed zenon_H320 zenon_H342 zenon_H347 zenon_H1fa zenon_H1f4 zenon_H227 zenon_H2e4 zenon_H31d zenon_H35d zenon_H40d zenon_H353 zenon_H36e zenon_H252 zenon_H3b8 zenon_H3ea zenon_H27d zenon_H3db zenon_H38a zenon_H2fa zenon_H3cb zenon_H3d6 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H1eb zenon_H219 zenon_H272. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.96/66.10 apply (zenon_L227_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.96/66.10 apply (zenon_L329_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.96/66.10 apply (zenon_L337_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.96/66.10 apply (zenon_L360_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.96/66.10 apply (zenon_L228_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.96/66.10 apply (zenon_L229_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.96/66.10 apply (zenon_L230_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.96/66.10 apply (zenon_L232_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.96/66.10 apply (zenon_L239_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.96/66.10 apply (zenon_L240_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.96/66.10 apply (zenon_L245_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.96/66.10 apply (zenon_L247_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.96/66.10 apply (zenon_L918_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.96/66.10 apply (zenon_L263_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.96/66.10 apply (zenon_L264_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.96/66.10 apply (zenon_L266_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.96/66.10 apply (zenon_L375_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.96/66.10 apply (zenon_L269_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.96/66.10 apply (zenon_L377_); trivial. % 65.96/66.10 apply (zenon_L301_); trivial. % 65.96/66.10 apply (zenon_L328_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.96/66.10 apply (zenon_L394_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.96/66.10 apply (zenon_L860_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.96/66.10 apply (zenon_L861_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.96/66.10 apply (zenon_L228_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.96/66.10 apply (zenon_L229_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.96/66.10 apply (zenon_L230_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.96/66.10 apply (zenon_L232_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.96/66.10 apply (zenon_L239_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.96/66.10 apply (zenon_L240_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.96/66.10 apply (zenon_L245_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.96/66.10 apply (zenon_L247_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.96/66.10 apply (zenon_L918_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.96/66.10 apply (zenon_L263_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.96/66.10 apply (zenon_L264_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.96/66.10 apply (zenon_L266_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.96/66.10 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.96/66.10 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.96/66.10 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.96/66.10 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.96/66.10 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.96/66.10 exact (zenon_H232 zenon_H22f). % 65.96/66.10 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H4fb); [ zenon_intro zenon_H289 | zenon_intro zenon_H4fc ]. % 65.96/66.10 apply (zenon_L252_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H4fc); [ zenon_intro zenon_H375 | zenon_intro zenon_H4fd ]. % 65.96/66.10 apply (zenon_L362_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H4fd); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H38b ]. % 65.96/66.10 apply (zenon_L917_); trivial. % 65.96/66.10 apply (zenon_L386_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.96/66.10 apply (zenon_L402_); trivial. % 65.96/66.10 apply (zenon_L231_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.96/66.10 apply (zenon_L269_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.96/66.10 apply (zenon_L405_); trivial. % 65.96/66.10 apply (zenon_L301_); trivial. % 65.96/66.10 apply (zenon_L328_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.96/66.10 apply (zenon_L415_); trivial. % 65.96/66.10 apply (zenon_L485_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.96/66.10 apply (zenon_L529_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.96/66.10 apply (zenon_L559_); trivial. % 65.96/66.10 apply (zenon_L587_); trivial. % 65.96/66.10 (* end of lemma zenon_L919_ *) % 65.96/66.10 assert (zenon_L920_ : ((h4 (e13)) = (e23)) -> ((op1 (e12) (e11)) = (e13)) -> (~((e23) = (h4 (op1 (e12) (e11))))) -> False). % 65.96/66.10 do 0 intro. intros zenon_H4a2 zenon_H3b2 zenon_H4fe. % 65.96/66.10 elim (classic ((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11))))); [ zenon_intro zenon_H4ff | zenon_intro zenon_H500 ]. % 65.96/66.10 cut (((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11)))) = ((e23) = (h4 (op1 (e12) (e11))))). % 65.96/66.10 intro zenon_D_pnotp. % 65.96/66.10 apply zenon_H4fe. % 65.96/66.10 rewrite <- zenon_D_pnotp. % 65.96/66.10 exact zenon_H4ff. % 65.96/66.10 cut (((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H500]. % 65.96/66.10 cut (((h4 (op1 (e12) (e11))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H501]. % 65.96/66.10 congruence. % 65.96/66.10 cut (((h4 (e13)) = (e23)) = ((h4 (op1 (e12) (e11))) = (e23))). % 65.96/66.10 intro zenon_D_pnotp. % 65.96/66.10 apply zenon_H501. % 65.96/66.10 rewrite <- zenon_D_pnotp. % 65.96/66.10 exact zenon_H4a2. % 65.96/66.10 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 65.96/66.10 cut (((h4 (e13)) = (h4 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H502]. % 65.96/66.10 congruence. % 65.96/66.10 elim (classic ((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11))))); [ zenon_intro zenon_H4ff | zenon_intro zenon_H500 ]. % 65.96/66.10 cut (((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11)))) = ((h4 (e13)) = (h4 (op1 (e12) (e11))))). % 65.96/66.10 intro zenon_D_pnotp. % 65.96/66.10 apply zenon_H502. % 65.96/66.10 rewrite <- zenon_D_pnotp. % 65.96/66.10 exact zenon_H4ff. % 65.96/66.10 cut (((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H500]. % 65.96/66.10 cut (((h4 (op1 (e12) (e11))) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H503]. % 65.96/66.10 congruence. % 65.96/66.10 cut (((op1 (e12) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H504]. % 65.96/66.10 congruence. % 65.96/66.10 exact (zenon_H504 zenon_H3b2). % 65.96/66.10 apply zenon_H500. apply refl_equal. % 65.96/66.10 apply zenon_H500. apply refl_equal. % 65.96/66.10 apply zenon_H24. apply refl_equal. % 65.96/66.10 apply zenon_H500. apply refl_equal. % 65.96/66.10 apply zenon_H500. apply refl_equal. % 65.96/66.10 (* end of lemma zenon_L920_ *) % 65.96/66.10 assert (zenon_L921_ : ((op2 (e22) (e21)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> ((op1 (e12) (e11)) = (e13)) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> False). % 65.96/66.10 do 0 intro. intros zenon_H421 zenon_H491 zenon_H26 zenon_H39a zenon_H19 zenon_H4a2 zenon_H3b2 zenon_H505. % 65.96/66.10 elim (classic ((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11))))); [ zenon_intro zenon_H506 | zenon_intro zenon_H507 ]. % 65.96/66.10 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11)))) = ((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))). % 65.96/66.10 intro zenon_D_pnotp. % 65.96/66.10 apply zenon_H505. % 65.96/66.10 rewrite <- zenon_D_pnotp. % 65.96/66.10 exact zenon_H506. % 65.96/66.10 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H507]. % 65.96/66.10 cut (((op2 (h4 (e12)) (h4 (e11))) = (h4 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H508]. % 65.96/66.10 congruence. % 65.96/66.10 cut (((op2 (e22) (e21)) = (e23)) = ((op2 (h4 (e12)) (h4 (e11))) = (h4 (op1 (e12) (e11))))). % 65.96/66.10 intro zenon_D_pnotp. % 65.96/66.10 apply zenon_H508. % 65.96/66.10 rewrite <- zenon_D_pnotp. % 65.96/66.10 exact zenon_H421. % 65.96/66.10 cut (((e23) = (h4 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4fe]. % 65.96/66.10 cut (((op2 (e22) (e21)) = (op2 (h4 (e12)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H509]. % 65.96/66.10 congruence. % 65.96/66.10 elim (classic ((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11))))); [ zenon_intro zenon_H506 | zenon_intro zenon_H507 ]. % 65.96/66.10 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11)))) = ((op2 (e22) (e21)) = (op2 (h4 (e12)) (h4 (e11))))). % 65.96/66.10 intro zenon_D_pnotp. % 65.96/66.10 apply zenon_H509. % 65.96/66.10 rewrite <- zenon_D_pnotp. % 65.96/66.10 exact zenon_H506. % 65.96/66.10 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H507]. % 65.96/66.10 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H50a]. % 65.96/66.10 congruence. % 65.96/66.10 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H47e]. % 65.96/66.10 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H490]. % 65.96/66.10 congruence. % 65.96/66.10 apply (zenon_L854_); trivial. % 65.96/66.10 apply (zenon_L849_); trivial. % 65.96/66.10 apply zenon_H507. apply refl_equal. % 65.96/66.10 apply zenon_H507. apply refl_equal. % 65.96/66.10 apply (zenon_L920_); trivial. % 65.96/66.10 apply zenon_H507. apply refl_equal. % 65.96/66.10 apply zenon_H507. apply refl_equal. % 65.96/66.10 (* end of lemma zenon_L921_ *) % 65.96/66.10 assert (zenon_L922_ : (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op2 (e22) (e21)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> False). % 65.96/66.10 do 0 intro. intros zenon_H3b4 zenon_H1ee zenon_H1f4 zenon_H35e zenon_H3d0 zenon_H219 zenon_H1eb zenon_H320 zenon_H421 zenon_H491 zenon_H26 zenon_H39a zenon_H19 zenon_H4a2 zenon_H505. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H3b4); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H3b5 ]. % 65.96/66.10 apply (zenon_L215_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H3b5); [ zenon_intro zenon_H26e | zenon_intro zenon_H3b6 ]. % 65.96/66.10 apply (zenon_L430_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_H2be | zenon_intro zenon_H3b2 ]. % 65.96/66.10 apply (zenon_L311_); trivial. % 65.96/66.10 apply (zenon_L921_); trivial. % 65.96/66.10 (* end of lemma zenon_L922_ *) % 65.96/66.10 assert (zenon_L923_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e13)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.96/66.10 do 0 intro. intros zenon_H364 zenon_H2aa zenon_H2a9 zenon_H249 zenon_H252 zenon_H24e zenon_H26b zenon_H25b zenon_H25a zenon_H505 zenon_H4a2 zenon_H19 zenon_H39a zenon_H26 zenon_H491 zenon_H421 zenon_H320 zenon_H1eb zenon_H3d0 zenon_H1f4 zenon_H1ee zenon_H3b4 zenon_H360 zenon_H219. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H365 ]. % 65.96/66.10 apply (zenon_L260_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H266 | zenon_intro zenon_H366 ]. % 65.96/66.10 apply (zenon_L338_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H35e | zenon_intro zenon_H361 ]. % 65.96/66.10 apply (zenon_L922_); trivial. % 65.96/66.10 apply (zenon_L343_); trivial. % 65.96/66.10 (* end of lemma zenon_L923_ *) % 65.96/66.10 assert (zenon_L924_ : (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e13)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.96/66.10 do 0 intro. intros zenon_H424 zenon_H29 zenon_H44 zenon_H177 zenon_H1c0 zenon_H8a zenon_H364 zenon_H2aa zenon_H2a9 zenon_H249 zenon_H252 zenon_H24e zenon_H26b zenon_H25b zenon_H25a zenon_H505 zenon_H4a2 zenon_H19 zenon_H39a zenon_H26 zenon_H491 zenon_H320 zenon_H1eb zenon_H3d0 zenon_H1f4 zenon_H1ee zenon_H3b4 zenon_H360 zenon_H219. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H45 | zenon_intro zenon_H425 ]. % 65.96/66.10 apply (zenon_L12_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H425); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H426 ]. % 65.96/66.10 apply (zenon_L171_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H426); [ zenon_intro zenon_H8b | zenon_intro zenon_H421 ]. % 65.96/66.10 apply (zenon_L33_); trivial. % 65.96/66.10 apply (zenon_L923_); trivial. % 65.96/66.10 (* end of lemma zenon_L924_ *) % 65.96/66.10 assert (zenon_L925_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((op1 (e10) (e12)) = (e12)) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.96/66.10 do 0 intro. intros zenon_H17e zenon_H16b zenon_H13a zenon_H171 zenon_H82 zenon_H219 zenon_H360 zenon_H3b4 zenon_H1ee zenon_H1f4 zenon_H3d0 zenon_H1eb zenon_H320 zenon_H491 zenon_H26 zenon_H39a zenon_H4a2 zenon_H505 zenon_H25a zenon_H25b zenon_H26b zenon_H24e zenon_H252 zenon_H249 zenon_H2a9 zenon_H2aa zenon_H364 zenon_H8a zenon_H1c0 zenon_H44 zenon_H29 zenon_H424 zenon_H17a zenon_H19. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H16a | zenon_intro zenon_H17f ]. % 65.96/66.10 apply (zenon_L108_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H180 ]. % 65.96/66.10 apply (zenon_L110_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H177 | zenon_intro zenon_H17b ]. % 65.96/66.10 apply (zenon_L924_); trivial. % 65.96/66.10 apply (zenon_L113_); trivial. % 65.96/66.10 (* end of lemma zenon_L925_ *) % 65.96/66.10 assert (zenon_L926_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.96/66.10 do 0 intro. intros zenon_H181 zenon_H3e zenon_H17a zenon_H424 zenon_H29 zenon_H44 zenon_H1c0 zenon_H8a zenon_H364 zenon_H2aa zenon_H2a9 zenon_H249 zenon_H252 zenon_H24e zenon_H26b zenon_H25b zenon_H25a zenon_H505 zenon_H4a2 zenon_H39a zenon_H491 zenon_H320 zenon_H1eb zenon_H3d0 zenon_H1f4 zenon_H1ee zenon_H3b4 zenon_H360 zenon_H219 zenon_H171 zenon_H13a zenon_H16b zenon_H17e zenon_H102 zenon_H107 zenon_H26 zenon_H118 zenon_H72 zenon_H10f zenon_H109 zenon_H19. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.96/66.10 apply (zenon_L96_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.96/66.10 apply (zenon_L925_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.96/66.10 apply (zenon_L115_); trivial. % 65.96/66.10 apply (zenon_L100_); trivial. % 65.96/66.10 (* end of lemma zenon_L926_ *) % 65.96/66.10 assert (zenon_L927_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e13)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.96/66.10 do 0 intro. intros zenon_H2b3 zenon_H232 zenon_H364 zenon_H26b zenon_H505 zenon_H4a2 zenon_H19 zenon_H39a zenon_H26 zenon_H491 zenon_H421 zenon_H3d0 zenon_H3b4 zenon_H360 zenon_H2a4 zenon_H30f zenon_H2af zenon_H285 zenon_H284 zenon_H249 zenon_H252 zenon_H24e zenon_H20c zenon_H25b zenon_H25a zenon_H2aa zenon_H27d zenon_H219 zenon_H212 zenon_H329 zenon_H227 zenon_H1f4 zenon_H1ff zenon_H347 zenon_H348 zenon_H320 zenon_H342 zenon_H1ed zenon_H343 zenon_H2eb zenon_H21e zenon_H1ee zenon_H1eb. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.96/66.10 exact (zenon_H232 zenon_H22f). % 65.96/66.10 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.96/66.10 apply (zenon_L252_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.96/66.10 apply (zenon_L225_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.96/66.10 apply (zenon_L923_); trivial. % 65.96/66.10 apply (zenon_L304_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.96/66.10 apply (zenon_L323_); trivial. % 65.96/66.10 apply (zenon_L231_); trivial. % 65.96/66.10 (* end of lemma zenon_L927_ *) % 65.96/66.10 assert (zenon_L928_ : (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e13)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.96/66.10 do 0 intro. intros zenon_H424 zenon_H29 zenon_H44 zenon_H177 zenon_H1c0 zenon_H8a zenon_H2b3 zenon_H232 zenon_H364 zenon_H26b zenon_H505 zenon_H4a2 zenon_H19 zenon_H39a zenon_H26 zenon_H491 zenon_H3d0 zenon_H3b4 zenon_H360 zenon_H2a4 zenon_H30f zenon_H2af zenon_H285 zenon_H284 zenon_H249 zenon_H252 zenon_H24e zenon_H20c zenon_H25b zenon_H25a zenon_H2aa zenon_H27d zenon_H219 zenon_H212 zenon_H329 zenon_H227 zenon_H1f4 zenon_H1ff zenon_H347 zenon_H348 zenon_H320 zenon_H342 zenon_H1ed zenon_H343 zenon_H2eb zenon_H21e zenon_H1ee zenon_H1eb. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H45 | zenon_intro zenon_H425 ]. % 65.96/66.10 apply (zenon_L12_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H425); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H426 ]. % 65.96/66.10 apply (zenon_L171_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H426); [ zenon_intro zenon_H8b | zenon_intro zenon_H421 ]. % 65.96/66.10 apply (zenon_L33_); trivial. % 65.96/66.10 apply (zenon_L927_); trivial. % 65.96/66.10 (* end of lemma zenon_L928_ *) % 65.96/66.10 assert (zenon_L929_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.96/66.10 do 0 intro. intros zenon_H181 zenon_H3e zenon_H17a zenon_H424 zenon_H29 zenon_H44 zenon_H1c0 zenon_H8a zenon_H2b3 zenon_H232 zenon_H364 zenon_H26b zenon_H505 zenon_H4a2 zenon_H39a zenon_H491 zenon_H3d0 zenon_H3b4 zenon_H360 zenon_H2a4 zenon_H30f zenon_H2af zenon_H285 zenon_H284 zenon_H249 zenon_H252 zenon_H24e zenon_H20c zenon_H25b zenon_H25a zenon_H2aa zenon_H27d zenon_H219 zenon_H212 zenon_H329 zenon_H227 zenon_H1f4 zenon_H1ff zenon_H347 zenon_H348 zenon_H320 zenon_H342 zenon_H1ed zenon_H343 zenon_H2eb zenon_H21e zenon_H1ee zenon_H1eb zenon_H171 zenon_H13a zenon_H16b zenon_H17e zenon_H102 zenon_H107 zenon_H26 zenon_H118 zenon_H72 zenon_H10f zenon_H109 zenon_H19. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.96/66.10 apply (zenon_L96_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H16a | zenon_intro zenon_H17f ]. % 65.96/66.10 apply (zenon_L108_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H180 ]. % 65.96/66.10 apply (zenon_L110_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H177 | zenon_intro zenon_H17b ]. % 65.96/66.10 apply (zenon_L928_); trivial. % 65.96/66.10 apply (zenon_L113_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.96/66.10 apply (zenon_L115_); trivial. % 65.96/66.10 apply (zenon_L100_); trivial. % 65.96/66.10 (* end of lemma zenon_L929_ *) % 65.96/66.10 assert (zenon_L930_ : (((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.96/66.10 do 0 intro. intros zenon_H2cf zenon_H189 zenon_H17e zenon_H16b zenon_H171 zenon_H1eb zenon_H1ee zenon_H21e zenon_H2eb zenon_H343 zenon_H1ed zenon_H342 zenon_H320 zenon_H348 zenon_H347 zenon_H1f4 zenon_H227 zenon_H329 zenon_H212 zenon_H219 zenon_H27d zenon_H2aa zenon_H25a zenon_H20c zenon_H24e zenon_H252 zenon_H249 zenon_H284 zenon_H285 zenon_H2af zenon_H30f zenon_H360 zenon_H3b4 zenon_H3d0 zenon_H491 zenon_H39a zenon_H4a2 zenon_H505 zenon_H26b zenon_H364 zenon_H2b3 zenon_H8a zenon_H1c0 zenon_H44 zenon_H424 zenon_H17a zenon_H3e zenon_H10f zenon_H72 zenon_H118 zenon_H107 zenon_H102 zenon_H85 zenon_H103 zenon_H181 zenon_H15d zenon_H109 zenon_H131 zenon_Haa zenon_H29 zenon_H26 zenon_H161 zenon_H119 zenon_H19. % 65.96/66.10 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.96/66.10 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.96/66.10 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.96/66.10 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.96/66.10 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.96/66.10 apply (zenon_L929_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.96/66.10 apply (zenon_L118_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.96/66.10 apply (zenon_L120_); trivial. % 65.96/66.10 apply (zenon_L72_); trivial. % 65.96/66.10 (* end of lemma zenon_L930_ *) % 65.96/66.10 assert (zenon_L931_ : (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((op1 (e12) (e12)) = (e11)) -> ((op2 (e22) (e22)) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.96/66.10 do 0 intro. intros zenon_H50b zenon_H39a zenon_H35e zenon_H177 zenon_H19 zenon_H491 zenon_H26. % 65.96/66.10 cut (((h4 (e11)) = (op2 (e23) (e23))) = ((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))). % 65.96/66.10 intro zenon_D_pnotp. % 65.96/66.10 apply zenon_H50b. % 65.96/66.10 rewrite <- zenon_D_pnotp. % 65.96/66.10 exact zenon_H39a. % 65.96/66.10 cut (((op2 (e23) (e23)) = (op2 (h4 (e12)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H50c]. % 65.96/66.10 cut (((h4 (e11)) = (h4 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H50d]. % 65.96/66.10 congruence. % 65.96/66.10 elim (classic ((h4 (op1 (e12) (e12))) = (h4 (op1 (e12) (e12))))); [ zenon_intro zenon_H50e | zenon_intro zenon_H50f ]. % 65.96/66.10 cut (((h4 (op1 (e12) (e12))) = (h4 (op1 (e12) (e12)))) = ((h4 (e11)) = (h4 (op1 (e12) (e12))))). % 65.96/66.10 intro zenon_D_pnotp. % 65.96/66.10 apply zenon_H50d. % 65.96/66.10 rewrite <- zenon_D_pnotp. % 65.96/66.10 exact zenon_H50e. % 65.96/66.10 cut (((h4 (op1 (e12) (e12))) = (h4 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H50f]. % 65.96/66.10 cut (((h4 (op1 (e12) (e12))) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H510]. % 65.96/66.10 congruence. % 65.96/66.10 cut (((op1 (e12) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H23b]. % 65.96/66.10 congruence. % 65.96/66.10 exact (zenon_H23b zenon_H35e). % 65.96/66.10 apply zenon_H50f. apply refl_equal. % 65.96/66.10 apply zenon_H50f. apply refl_equal. % 65.96/66.10 elim (classic ((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12))))); [ zenon_intro zenon_H511 | zenon_intro zenon_H512 ]. % 65.96/66.10 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12)))) = ((op2 (e23) (e23)) = (op2 (h4 (e12)) (h4 (e12))))). % 65.96/66.10 intro zenon_D_pnotp. % 65.96/66.10 apply zenon_H50c. % 65.96/66.10 rewrite <- zenon_D_pnotp. % 65.96/66.10 exact zenon_H511. % 65.96/66.10 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H512]. % 65.96/66.10 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H513]. % 65.96/66.10 congruence. % 65.96/66.10 cut (((op2 (e22) (e22)) = (e21)) = ((op2 (h4 (e12)) (h4 (e12))) = (op2 (e23) (e23)))). % 65.96/66.10 intro zenon_D_pnotp. % 65.96/66.10 apply zenon_H513. % 65.96/66.10 rewrite <- zenon_D_pnotp. % 65.96/66.10 exact zenon_H177. % 65.96/66.10 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 65.96/66.10 cut (((op2 (e22) (e22)) = (op2 (h4 (e12)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H514]. % 65.96/66.10 congruence. % 65.96/66.10 elim (classic ((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12))))); [ zenon_intro zenon_H511 | zenon_intro zenon_H512 ]. % 65.96/66.10 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12)))) = ((op2 (e22) (e22)) = (op2 (h4 (e12)) (h4 (e12))))). % 65.96/66.10 intro zenon_D_pnotp. % 65.96/66.10 apply zenon_H514. % 65.96/66.10 rewrite <- zenon_D_pnotp. % 65.96/66.10 exact zenon_H511. % 65.96/66.10 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H512]. % 65.96/66.10 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H515]. % 65.96/66.10 congruence. % 65.96/66.10 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H490]. % 65.96/66.10 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H490]. % 65.96/66.10 congruence. % 65.96/66.10 apply (zenon_L854_); trivial. % 65.96/66.10 apply (zenon_L854_); trivial. % 65.96/66.10 apply zenon_H512. apply refl_equal. % 65.96/66.10 apply zenon_H512. apply refl_equal. % 65.96/66.10 exact (zenon_H10b zenon_H19). % 65.96/66.10 apply zenon_H512. apply refl_equal. % 65.96/66.10 apply zenon_H512. apply refl_equal. % 65.96/66.10 (* end of lemma zenon_L931_ *) % 65.96/66.10 assert (zenon_L932_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e22) (e22)) = (e21)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.96/66.10 do 0 intro. intros zenon_H364 zenon_H2aa zenon_H2a9 zenon_H249 zenon_H252 zenon_H24e zenon_H1eb zenon_H26b zenon_H25b zenon_H25a zenon_H26 zenon_H491 zenon_H19 zenon_H177 zenon_H39a zenon_H50b zenon_H360 zenon_H219. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H365 ]. % 65.96/66.10 apply (zenon_L260_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H266 | zenon_intro zenon_H366 ]. % 65.96/66.10 apply (zenon_L338_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H35e | zenon_intro zenon_H361 ]. % 65.96/66.10 apply (zenon_L931_); trivial. % 65.96/66.10 apply (zenon_L343_); trivial. % 65.96/66.10 (* end of lemma zenon_L932_ *) % 65.96/66.10 assert (zenon_L933_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((op1 (e10) (e12)) = (e12)) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.96/66.10 do 0 intro. intros zenon_H17e zenon_H16b zenon_H13a zenon_H171 zenon_H82 zenon_H219 zenon_H360 zenon_H50b zenon_H39a zenon_H491 zenon_H26 zenon_H25a zenon_H25b zenon_H26b zenon_H1eb zenon_H24e zenon_H252 zenon_H249 zenon_H2a9 zenon_H2aa zenon_H364 zenon_H17a zenon_H19. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H16a | zenon_intro zenon_H17f ]. % 65.96/66.10 apply (zenon_L108_); trivial. % 65.96/66.10 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H180 ]. % 65.96/66.11 apply (zenon_L110_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H177 | zenon_intro zenon_H17b ]. % 65.96/66.11 apply (zenon_L932_); trivial. % 65.96/66.11 apply (zenon_L113_); trivial. % 65.96/66.11 (* end of lemma zenon_L933_ *) % 65.96/66.11 assert (zenon_L934_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.96/66.11 do 0 intro. intros zenon_H181 zenon_H103 zenon_H17a zenon_H364 zenon_H2aa zenon_H2a9 zenon_H249 zenon_H252 zenon_H24e zenon_H1eb zenon_H26b zenon_H25b zenon_H25a zenon_H491 zenon_H39a zenon_H50b zenon_H360 zenon_H219 zenon_H171 zenon_H13a zenon_H16b zenon_H17e zenon_H102 zenon_H107 zenon_H26 zenon_H118 zenon_H72 zenon_H10f zenon_H109 zenon_H19. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.96/66.11 apply (zenon_L65_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.96/66.11 apply (zenon_L933_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.96/66.11 apply (zenon_L115_); trivial. % 65.96/66.11 apply (zenon_L100_); trivial. % 65.96/66.11 (* end of lemma zenon_L934_ *) % 65.96/66.11 assert (zenon_L935_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((op2 (e22) (e22)) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e13)) = (e13)) -> False). % 65.96/66.11 do 0 intro. intros zenon_H2eb zenon_H343 zenon_H1ed zenon_H342 zenon_H320 zenon_H348 zenon_H347 zenon_H1ff zenon_H1f4 zenon_H1ee zenon_H227 zenon_H329 zenon_H212 zenon_H219 zenon_H360 zenon_H50b zenon_H39a zenon_H177 zenon_H19 zenon_H491 zenon_H26 zenon_H25a zenon_H25b zenon_H26b zenon_H1eb zenon_H24e zenon_H252 zenon_H249 zenon_H2aa zenon_H364 zenon_H30f zenon_H2a4. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.96/66.11 apply (zenon_L322_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.96/66.11 apply (zenon_L225_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.96/66.11 apply (zenon_L932_); trivial. % 65.96/66.11 apply (zenon_L304_); trivial. % 65.96/66.11 (* end of lemma zenon_L935_ *) % 65.96/66.11 assert (zenon_L936_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.96/66.11 do 0 intro. intros zenon_H181 zenon_H3e zenon_H17a zenon_H2eb zenon_H343 zenon_H1ed zenon_H342 zenon_H320 zenon_H348 zenon_H347 zenon_H1ff zenon_H1f4 zenon_H1ee zenon_H227 zenon_H329 zenon_H212 zenon_H219 zenon_H360 zenon_H50b zenon_H39a zenon_H491 zenon_H25a zenon_H25b zenon_H26b zenon_H1eb zenon_H24e zenon_H252 zenon_H249 zenon_H2aa zenon_H364 zenon_H30f zenon_H2a4 zenon_H171 zenon_H13a zenon_H16b zenon_H17e zenon_H102 zenon_H107 zenon_H26 zenon_H118 zenon_H72 zenon_H10f zenon_H109 zenon_H19. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H7e | zenon_intro zenon_H183 ]. % 65.96/66.11 apply (zenon_L96_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H82 | zenon_intro zenon_H184 ]. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H16a | zenon_intro zenon_H17f ]. % 65.96/66.11 apply (zenon_L108_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H180 ]. % 65.96/66.11 apply (zenon_L110_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H177 | zenon_intro zenon_H17b ]. % 65.96/66.11 apply (zenon_L935_); trivial. % 65.96/66.11 apply (zenon_L113_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc1 ]. % 65.96/66.11 apply (zenon_L115_); trivial. % 65.96/66.11 apply (zenon_L100_); trivial. % 65.96/66.11 (* end of lemma zenon_L936_ *) % 65.96/66.11 assert (zenon_L937_ : (((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.96/66.11 do 0 intro. intros zenon_H2cf zenon_H189 zenon_H17e zenon_H16b zenon_H171 zenon_H30f zenon_H364 zenon_H2aa zenon_H249 zenon_H252 zenon_H24e zenon_H1eb zenon_H26b zenon_H25a zenon_H491 zenon_H39a zenon_H50b zenon_H360 zenon_H219 zenon_H212 zenon_H329 zenon_H227 zenon_H1ee zenon_H1f4 zenon_H347 zenon_H348 zenon_H320 zenon_H342 zenon_H1ed zenon_H343 zenon_H2eb zenon_H17a zenon_H3e zenon_H10f zenon_H72 zenon_H118 zenon_H107 zenon_H102 zenon_H85 zenon_H103 zenon_H181 zenon_H15d zenon_H109 zenon_H131 zenon_Haa zenon_H29 zenon_H26 zenon_H161 zenon_H119 zenon_H19. % 65.96/66.11 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.96/66.11 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.96/66.11 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.96/66.11 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.96/66.11 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.96/66.11 apply (zenon_L936_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.96/66.11 apply (zenon_L118_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.96/66.11 apply (zenon_L120_); trivial. % 65.96/66.11 apply (zenon_L72_); trivial. % 65.96/66.11 (* end of lemma zenon_L937_ *) % 65.96/66.11 assert (zenon_L938_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.96/66.11 do 0 intro. intros zenon_H227 zenon_H1ed zenon_H1eb zenon_H1ee zenon_H1f4 zenon_H1ff zenon_H516 zenon_H396 zenon_H4a2 zenon_H491. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.96/66.11 apply (zenon_L214_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.96/66.11 apply (zenon_L215_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.96/66.11 exact (zenon_H1ff zenon_H1fb). % 65.96/66.11 cut (((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))). % 65.96/66.11 intro zenon_D_pnotp. % 65.96/66.11 apply zenon_H516. % 65.96/66.11 rewrite <- zenon_D_pnotp. % 65.96/66.11 exact zenon_H396. % 65.96/66.11 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (h4 (e12)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H517]. % 65.96/66.11 cut (((h4 (e10)) = (h4 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H518]. % 65.96/66.11 congruence. % 65.96/66.11 elim (classic ((h4 (op1 (e12) (e13))) = (h4 (op1 (e12) (e13))))); [ zenon_intro zenon_H519 | zenon_intro zenon_H51a ]. % 65.96/66.11 cut (((h4 (op1 (e12) (e13))) = (h4 (op1 (e12) (e13)))) = ((h4 (e10)) = (h4 (op1 (e12) (e13))))). % 65.96/66.11 intro zenon_D_pnotp. % 65.96/66.11 apply zenon_H518. % 65.96/66.11 rewrite <- zenon_D_pnotp. % 65.96/66.11 exact zenon_H519. % 65.96/66.11 cut (((h4 (op1 (e12) (e13))) = (h4 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H51a]. % 65.96/66.11 cut (((h4 (op1 (e12) (e13))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H51b]. % 65.96/66.11 congruence. % 65.96/66.11 cut (((op1 (e12) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H51c]. % 65.96/66.11 congruence. % 65.96/66.11 exact (zenon_H51c zenon_H220). % 65.96/66.11 apply zenon_H51a. apply refl_equal. % 65.96/66.11 apply zenon_H51a. apply refl_equal. % 65.96/66.11 cut (((e23) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H51d]. % 65.96/66.11 cut (((op2 (e23) (op2 (e23) (e23))) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H51e]. % 65.96/66.11 congruence. % 65.96/66.11 apply zenon_H51e. apply sym_equal. exact zenon_H491. % 65.96/66.11 apply zenon_H51d. apply sym_equal. exact zenon_H4a2. % 65.96/66.11 (* end of lemma zenon_L938_ *) % 65.96/66.11 assert (zenon_L939_ : (((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.96/66.11 do 0 intro. intros zenon_H2b2 zenon_H227 zenon_H1ed zenon_H1eb zenon_H1ee zenon_H1f4 zenon_H516 zenon_H396 zenon_H4a2 zenon_H491. % 65.96/66.11 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.96/66.11 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.96/66.11 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.96/66.11 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.96/66.11 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.96/66.11 apply (zenon_L938_); trivial. % 65.96/66.11 (* end of lemma zenon_L939_ *) % 65.96/66.11 assert (zenon_L940_ : (((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.96/66.11 do 0 intro. intros zenon_H2cf zenon_H227 zenon_H1ed zenon_H1eb zenon_H1ee zenon_H1f4 zenon_H516 zenon_H396 zenon_H4a2 zenon_H491. % 65.96/66.11 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.96/66.11 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.96/66.11 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.96/66.11 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.96/66.11 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.96/66.11 apply (zenon_L938_); trivial. % 65.96/66.11 (* end of lemma zenon_L940_ *) % 65.96/66.11 assert (zenon_L941_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))\/(((op1 (e11) (op1 (e11) (e10))) = (e11))\/(((op1 (e12) (op1 (e12) (e10))) = (e12))\/((op1 (e13) (op1 (e13) (e10))) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (op1 (e10) (e12))) = (e10))\/(((op1 (e11) (op1 (e11) (e12))) = (e11))\/(((op1 (e12) (op1 (e12) (e12))) = (e12))\/((op1 (e13) (op1 (e13) (e12))) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (op1 (e10) (e11))) = (e10))\/(((op1 (e11) (op1 (e11) (e11))) = (e11))\/(((op1 (e12) (op1 (e12) (e11))) = (e12))\/((op1 (e13) (op1 (e13) (e11))) = (e13))))) -> (~((e12) = (e13))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.96/66.11 do 0 intro. intros zenon_H48d zenon_H2a1 zenon_H2eb zenon_H2b3 zenon_H3c1 zenon_H293 zenon_H284 zenon_H329 zenon_H37f zenon_H2df zenon_H300 zenon_H2af zenon_H3f0 zenon_H3d0 zenon_H382 zenon_H328 zenon_H369 zenon_H348 zenon_H2aa zenon_H303 zenon_H2d8 zenon_H354 zenon_H491 zenon_H4a2 zenon_H396 zenon_H516 zenon_H3c7 zenon_H3c4 zenon_H29e zenon_H3cd zenon_H2ef zenon_H3d1 zenon_H364 zenon_H299 zenon_H360 zenon_H2e8 zenon_H372 zenon_H26b zenon_H2f7 zenon_H367 zenon_H265 zenon_H401 zenon_H2f4 zenon_H3ef zenon_H3b4 zenon_H24e zenon_H25a zenon_H228 zenon_H20c zenon_H204 zenon_H215 zenon_H212 zenon_H404 zenon_H30f zenon_H32c zenon_H3e3 zenon_H392 zenon_H414 zenon_H2c6 zenon_H1ed zenon_H320 zenon_H342 zenon_H347 zenon_H1fa zenon_H1f4 zenon_H227 zenon_H2e4 zenon_H31d zenon_H35d zenon_H40d zenon_H353 zenon_H36e zenon_H252 zenon_H3b8 zenon_H3ea zenon_H27d zenon_H3db zenon_H38a zenon_H2fa zenon_H3cb zenon_H3d6 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H1eb zenon_H219 zenon_H272. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.96/66.11 apply (zenon_L227_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.96/66.11 apply (zenon_L329_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.96/66.11 apply (zenon_L228_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.96/66.11 apply (zenon_L229_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.96/66.11 apply (zenon_L230_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.96/66.11 apply (zenon_L232_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.96/66.11 apply (zenon_L239_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.96/66.11 apply (zenon_L240_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.96/66.11 apply (zenon_L245_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.96/66.11 apply (zenon_L247_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.96/66.11 apply (zenon_L939_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.96/66.11 apply (zenon_L263_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.96/66.11 apply (zenon_L264_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.96/66.11 apply (zenon_L266_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.96/66.11 apply (zenon_L940_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.96/66.11 apply (zenon_L269_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.96/66.11 apply (zenon_L336_); trivial. % 65.96/66.11 apply (zenon_L301_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.96/66.11 apply (zenon_L228_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.96/66.11 apply (zenon_L229_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.96/66.11 apply (zenon_L230_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.96/66.11 apply (zenon_L232_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.96/66.11 apply (zenon_L239_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.96/66.11 apply (zenon_L240_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.96/66.11 apply (zenon_L245_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.96/66.11 apply (zenon_L247_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.96/66.11 apply (zenon_L939_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.96/66.11 apply (zenon_L263_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.96/66.11 apply (zenon_L264_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.96/66.11 apply (zenon_L266_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.96/66.11 apply (zenon_L940_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.96/66.11 apply (zenon_L269_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.96/66.11 apply (zenon_L359_); trivial. % 65.96/66.11 apply (zenon_L301_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.96/66.11 apply (zenon_L228_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.96/66.11 apply (zenon_L229_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.96/66.11 apply (zenon_L230_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.96/66.11 apply (zenon_L232_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.96/66.11 apply (zenon_L239_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.96/66.11 apply (zenon_L240_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.96/66.11 apply (zenon_L245_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.96/66.11 apply (zenon_L247_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.96/66.11 apply (zenon_L939_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.96/66.11 apply (zenon_L263_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.96/66.11 apply (zenon_L264_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.96/66.11 apply (zenon_L266_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.96/66.11 apply (zenon_L940_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.96/66.11 apply (zenon_L269_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.96/66.11 apply (zenon_L377_); trivial. % 65.96/66.11 apply (zenon_L301_); trivial. % 65.96/66.11 apply (zenon_L328_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.96/66.11 apply (zenon_L394_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.96/66.11 apply (zenon_L228_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.96/66.11 apply (zenon_L229_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.96/66.11 apply (zenon_L230_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.96/66.11 apply (zenon_L232_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.96/66.11 apply (zenon_L239_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.96/66.11 apply (zenon_L240_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.96/66.11 apply (zenon_L245_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.96/66.11 apply (zenon_L247_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.96/66.11 apply (zenon_L939_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.96/66.11 apply (zenon_L263_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.96/66.11 apply (zenon_L264_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.96/66.11 apply (zenon_L266_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.96/66.11 apply (zenon_L940_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.96/66.11 apply (zenon_L269_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.96/66.11 apply (zenon_L405_); trivial. % 65.96/66.11 apply (zenon_L301_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.96/66.11 apply (zenon_L415_); trivial. % 65.96/66.11 apply (zenon_L485_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.96/66.11 apply (zenon_L529_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.96/66.11 apply (zenon_L559_); trivial. % 65.96/66.11 apply (zenon_L587_); trivial. % 65.96/66.11 (* end of lemma zenon_L941_ *) % 65.96/66.11 assert (zenon_L942_ : ((h4 (e13)) = (e23)) -> ((op1 (e13) (e10)) = (e13)) -> (~((e23) = (h4 (op1 (e13) (e10))))) -> False). % 65.96/66.11 do 0 intro. intros zenon_H4a2 zenon_H2d1 zenon_H51f. % 65.96/66.11 elim (classic ((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10))))); [ zenon_intro zenon_H520 | zenon_intro zenon_H521 ]. % 65.96/66.11 cut (((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10)))) = ((e23) = (h4 (op1 (e13) (e10))))). % 65.96/66.11 intro zenon_D_pnotp. % 65.96/66.11 apply zenon_H51f. % 65.96/66.11 rewrite <- zenon_D_pnotp. % 65.96/66.11 exact zenon_H520. % 65.96/66.11 cut (((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H521]. % 65.96/66.11 cut (((h4 (op1 (e13) (e10))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H522]. % 65.96/66.11 congruence. % 65.96/66.11 cut (((h4 (e13)) = (e23)) = ((h4 (op1 (e13) (e10))) = (e23))). % 65.96/66.11 intro zenon_D_pnotp. % 65.96/66.11 apply zenon_H522. % 65.96/66.11 rewrite <- zenon_D_pnotp. % 65.96/66.11 exact zenon_H4a2. % 65.96/66.11 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 65.96/66.11 cut (((h4 (e13)) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H523]. % 65.96/66.11 congruence. % 65.96/66.11 elim (classic ((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10))))); [ zenon_intro zenon_H520 | zenon_intro zenon_H521 ]. % 65.96/66.11 cut (((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10)))) = ((h4 (e13)) = (h4 (op1 (e13) (e10))))). % 65.96/66.11 intro zenon_D_pnotp. % 65.96/66.11 apply zenon_H523. % 65.96/66.11 rewrite <- zenon_D_pnotp. % 65.96/66.11 exact zenon_H520. % 65.96/66.11 cut (((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H521]. % 65.96/66.11 cut (((h4 (op1 (e13) (e10))) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H524]. % 65.96/66.11 congruence. % 65.96/66.11 cut (((op1 (e13) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H525]. % 65.96/66.11 congruence. % 65.96/66.11 exact (zenon_H525 zenon_H2d1). % 65.96/66.11 apply zenon_H521. apply refl_equal. % 65.96/66.11 apply zenon_H521. apply refl_equal. % 65.96/66.11 apply zenon_H24. apply refl_equal. % 65.96/66.11 apply zenon_H521. apply refl_equal. % 65.96/66.11 apply zenon_H521. apply refl_equal. % 65.96/66.11 (* end of lemma zenon_L942_ *) % 65.96/66.11 assert (zenon_L943_ : ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e20)) -> ((op2 (e22) (e23)) = (e20)) -> ((h4 (e13)) = (e23)) -> ((op1 (e13) (e10)) = (e13)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> False). % 65.96/66.11 do 0 intro. intros zenon_H1e2 zenon_H396 zenon_H26 zenon_H92 zenon_H51 zenon_H4a2 zenon_H2d1 zenon_H526. % 65.96/66.11 elim (classic ((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10))))); [ zenon_intro zenon_H527 | zenon_intro zenon_H528 ]. % 65.96/66.11 cut (((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10)))) = ((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))). % 65.96/66.11 intro zenon_D_pnotp. % 65.96/66.11 apply zenon_H526. % 65.96/66.11 rewrite <- zenon_D_pnotp. % 65.96/66.11 exact zenon_H527. % 65.96/66.11 cut (((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H528]. % 65.96/66.11 cut (((op2 (h4 (e13)) (h4 (e10))) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H529]. % 65.96/66.11 congruence. % 65.96/66.11 cut (((op2 (e23) (op2 (e23) (e22))) = (e23)) = ((op2 (h4 (e13)) (h4 (e10))) = (h4 (op1 (e13) (e10))))). % 65.96/66.11 intro zenon_D_pnotp. % 65.96/66.11 apply zenon_H529. % 65.96/66.11 rewrite <- zenon_D_pnotp. % 65.96/66.11 exact zenon_H1e2. % 65.96/66.11 cut (((e23) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H51f]. % 65.96/66.11 cut (((op2 (e23) (op2 (e23) (e22))) = (op2 (h4 (e13)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H52a]. % 65.96/66.11 congruence. % 65.96/66.11 elim (classic ((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10))))); [ zenon_intro zenon_H527 | zenon_intro zenon_H528 ]. % 65.96/66.11 cut (((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10)))) = ((op2 (e23) (op2 (e23) (e22))) = (op2 (h4 (e13)) (h4 (e10))))). % 65.96/66.11 intro zenon_D_pnotp. % 65.96/66.11 apply zenon_H52a. % 65.96/66.11 rewrite <- zenon_D_pnotp. % 65.96/66.11 exact zenon_H527. % 65.96/66.11 cut (((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H528]. % 65.96/66.11 cut (((op2 (h4 (e13)) (h4 (e10))) = (op2 (e23) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H52b]. % 65.96/66.11 congruence. % 65.96/66.11 cut (((h4 (e10)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H52c]. % 65.96/66.11 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H4ae]. % 65.96/66.11 congruence. % 65.96/66.11 exact (zenon_H4ae zenon_H4a2). % 65.96/66.11 cut (((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((h4 (e10)) = (op2 (e23) (e22)))). % 65.96/66.11 intro zenon_D_pnotp. % 65.96/66.11 apply zenon_H52c. % 65.96/66.11 rewrite <- zenon_D_pnotp. % 65.96/66.11 exact zenon_H396. % 65.96/66.11 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H91]. % 65.96/66.11 cut (((h4 (e10)) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H398]. % 65.96/66.11 congruence. % 65.96/66.11 apply zenon_H398. apply refl_equal. % 65.96/66.11 apply (zenon_L36_); trivial. % 65.96/66.11 apply zenon_H528. apply refl_equal. % 65.96/66.11 apply zenon_H528. apply refl_equal. % 65.96/66.11 apply (zenon_L942_); trivial. % 65.96/66.11 apply zenon_H528. apply refl_equal. % 65.96/66.11 apply zenon_H528. apply refl_equal. % 65.96/66.11 (* end of lemma zenon_L943_ *) % 65.96/66.11 assert (zenon_L944_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> False). % 65.96/66.11 do 0 intro. intros zenon_H3ea zenon_H30f zenon_H252 zenon_H3a7 zenon_H219 zenon_H2c6 zenon_H360 zenon_H38a zenon_H2d4 zenon_H3aa zenon_H21e zenon_H343 zenon_H27d zenon_H1eb zenon_H297. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H3ea); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H3eb ]. % 65.96/66.11 apply (zenon_L304_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H3eb); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H3ec ]. % 65.96/66.11 apply (zenon_L877_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H3ec); [ zenon_intro zenon_H33e | zenon_intro zenon_H308 ]. % 65.96/66.11 apply (zenon_L325_); trivial. % 65.96/66.11 apply (zenon_L444_); trivial. % 65.96/66.11 (* end of lemma zenon_L944_ *) % 65.96/66.11 assert (zenon_L945_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e23) (e22)) = (e20)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e12) = (e13))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> False). % 65.96/66.11 do 0 intro. intros zenon_H3db zenon_H526 zenon_H4a2 zenon_H51 zenon_H92 zenon_H26 zenon_H396 zenon_H1e2 zenon_H3aa zenon_H38a zenon_H360 zenon_H2c6 zenon_H219 zenon_H30f zenon_H343 zenon_H21e zenon_H3a7 zenon_H252 zenon_H3ea zenon_H27d zenon_H1eb zenon_H297. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H3dc ]. % 65.96/66.11 apply (zenon_L943_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H3dc); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H3dd ]. % 65.96/66.11 apply (zenon_L944_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H3dd); [ zenon_intro zenon_H33d | zenon_intro zenon_H308 ]. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H3ea); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H3eb ]. % 65.96/66.11 apply (zenon_L400_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H3eb); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H3ec ]. % 65.96/66.11 apply (zenon_L475_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H3ec); [ zenon_intro zenon_H33e | zenon_intro zenon_H308 ]. % 65.96/66.11 apply (zenon_L325_); trivial. % 65.96/66.11 apply (zenon_L444_); trivial. % 65.96/66.11 apply (zenon_L444_); trivial. % 65.96/66.11 (* end of lemma zenon_L945_ *) % 65.96/66.11 assert (zenon_L946_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.96/66.11 do 0 intro. intros zenon_H3b8 zenon_H30f zenon_H252 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H3aa zenon_H2d4 zenon_H38a zenon_H360 zenon_H2c6 zenon_H3a7 zenon_H27d zenon_H3ea zenon_H220 zenon_H343 zenon_H1ed zenon_H1eb zenon_H219 zenon_H272. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_H297 | zenon_intro zenon_H3b9 ]. % 65.96/66.11 apply (zenon_L944_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_H312 | zenon_intro zenon_H3ba ]. % 65.96/66.11 apply (zenon_L882_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H3ba); [ zenon_intro zenon_H2ce | zenon_intro zenon_H38e ]. % 65.96/66.11 apply (zenon_L321_); trivial. % 65.96/66.11 apply (zenon_L387_); trivial. % 65.96/66.11 (* end of lemma zenon_L946_ *) % 65.96/66.11 assert (zenon_L947_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e23) (e22)) = (e20)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 65.96/66.11 do 0 intro. intros zenon_H227 zenon_H1f4 zenon_H1ff zenon_H3db zenon_H526 zenon_H4a2 zenon_H51 zenon_H92 zenon_H26 zenon_H396 zenon_H1e2 zenon_H272 zenon_H219 zenon_H1ed zenon_H343 zenon_H2c6 zenon_H360 zenon_H38a zenon_H3aa zenon_H21e zenon_H1ee zenon_H2b4 zenon_H30f zenon_H3b8 zenon_H3a7 zenon_H36e zenon_H27d zenon_H3ea zenon_H252 zenon_H1eb zenon_H312. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.96/66.11 apply (zenon_L214_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.96/66.11 apply (zenon_L215_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.96/66.11 exact (zenon_H1ff zenon_H1fb). % 65.96/66.11 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H3dc ]. % 65.96/66.11 apply (zenon_L943_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H3dc); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H3dd ]. % 65.96/66.11 apply (zenon_L946_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H3dd); [ zenon_intro zenon_H33d | zenon_intro zenon_H308 ]. % 65.96/66.11 apply (zenon_L883_); trivial. % 65.96/66.11 apply (zenon_L477_); trivial. % 65.96/66.11 (* end of lemma zenon_L947_ *) % 65.96/66.11 assert (zenon_L948_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e20)) -> ((op2 (e22) (e23)) = (e20)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.96/66.11 do 0 intro. intros zenon_H252 zenon_H3ea zenon_H27d zenon_H36e zenon_H3a7 zenon_H3b8 zenon_H30f zenon_H2b4 zenon_H1ee zenon_H21e zenon_H3aa zenon_H38a zenon_H360 zenon_H2c6 zenon_H1e2 zenon_H396 zenon_H26 zenon_H92 zenon_H51 zenon_H4a2 zenon_H526 zenon_H3db zenon_H1ff zenon_H1f4 zenon_H227 zenon_H343 zenon_H1ed zenon_H1eb zenon_H219 zenon_H272. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.96/66.11 apply (zenon_L214_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.96/66.11 apply (zenon_L215_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.96/66.11 exact (zenon_H1ff zenon_H1fb). % 65.96/66.11 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_H297 | zenon_intro zenon_H3b9 ]. % 65.96/66.11 apply (zenon_L945_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_H312 | zenon_intro zenon_H3ba ]. % 65.96/66.11 apply (zenon_L947_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H3ba); [ zenon_intro zenon_H2ce | zenon_intro zenon_H38e ]. % 65.96/66.11 apply (zenon_L321_); trivial. % 65.96/66.11 apply (zenon_L387_); trivial. % 65.96/66.11 (* end of lemma zenon_L948_ *) % 65.96/66.11 assert (zenon_L949_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e23) (e20)) = (e23)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op2 (e23) (e23)) = (e20))) -> False). % 65.96/66.11 do 0 intro. intros zenon_H9e zenon_Hda zenon_Hd9 zenon_H56 zenon_H1b zenon_H29 zenon_H272 zenon_H219 zenon_H1eb zenon_H1ed zenon_H343 zenon_H227 zenon_H1f4 zenon_H1ff zenon_H3db zenon_H526 zenon_H4a2 zenon_H51 zenon_H26 zenon_H396 zenon_H1e2 zenon_H2c6 zenon_H360 zenon_H38a zenon_H3aa zenon_H21e zenon_H1ee zenon_H2b4 zenon_H30f zenon_H3b8 zenon_H3a7 zenon_H36e zenon_H27d zenon_H3ea zenon_H252 zenon_H9b. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H77 | zenon_intro zenon_Ha4 ]. % 65.96/66.11 apply (zenon_L53_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha5 ]. % 65.96/66.11 apply (zenon_L15_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 65.96/66.11 apply (zenon_L948_); trivial. % 65.96/66.11 exact (zenon_H9b zenon_H95). % 65.96/66.11 (* end of lemma zenon_L949_ *) % 65.96/66.11 assert (zenon_L950_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e23) (e20)) = (e23)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op2 (e23) (e23)) = (e20))) -> False). % 65.96/66.11 do 0 intro. intros zenon_H6e zenon_H28 zenon_H44 zenon_H4f zenon_H9e zenon_Hda zenon_Hd9 zenon_H56 zenon_H1b zenon_H29 zenon_H272 zenon_H219 zenon_H1eb zenon_H1ed zenon_H343 zenon_H227 zenon_H1f4 zenon_H1ff zenon_H3db zenon_H526 zenon_H4a2 zenon_H26 zenon_H396 zenon_H1e2 zenon_H2c6 zenon_H360 zenon_H38a zenon_H3aa zenon_H21e zenon_H1ee zenon_H2b4 zenon_H30f zenon_H3b8 zenon_H3a7 zenon_H36e zenon_H27d zenon_H3ea zenon_H252 zenon_H9b. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.96/66.11 apply (zenon_L5_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.96/66.11 apply (zenon_L12_); trivial. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.96/66.11 exact (zenon_H4f zenon_H4b). % 65.96/66.11 apply (zenon_L949_); trivial. % 65.96/66.11 (* end of lemma zenon_L950_ *) % 65.96/66.11 assert (zenon_L951_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e23) (e23)) = (e20))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.96/66.11 do 0 intro. intros zenon_H197 zenon_H17 zenon_H9b zenon_H252 zenon_H3ea zenon_H27d zenon_H36e zenon_H3a7 zenon_H3b8 zenon_H30f zenon_H2b4 zenon_H1ee zenon_H21e zenon_H3aa zenon_H38a zenon_H360 zenon_H2c6 zenon_H1e2 zenon_H396 zenon_H4a2 zenon_H526 zenon_H3db zenon_H1ff zenon_H1f4 zenon_H227 zenon_H343 zenon_H1ed zenon_H1eb zenon_H219 zenon_H272 zenon_H56 zenon_Hd9 zenon_Hda zenon_H9e zenon_H4f zenon_H44 zenon_H28 zenon_H6e zenon_H19 zenon_H119 zenon_H161 zenon_Haa zenon_H131 zenon_H109 zenon_H15d zenon_H181 zenon_H103 zenon_H85 zenon_H102 zenon_H107 zenon_H118 zenon_H72 zenon_H10f zenon_H13c zenon_H8f zenon_H189 zenon_H33 zenon_H29 zenon_H26. % 65.96/66.11 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.96/66.11 exact (zenon_H17 zenon_H14). % 65.96/66.11 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.96/66.11 apply (zenon_L950_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.11 apply (zenon_L130_); trivial. % 65.99/66.11 apply (zenon_L7_); trivial. % 65.99/66.11 (* end of lemma zenon_L951_ *) % 65.99/66.11 assert (zenon_L952_ : (((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e23) (e23)) = (e20))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e21)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.99/66.11 do 0 intro. intros zenon_H2b2 zenon_H197 zenon_H17 zenon_H9b zenon_H252 zenon_H3ea zenon_H27d zenon_H36e zenon_H3a7 zenon_H3b8 zenon_H30f zenon_H2b4 zenon_H1ee zenon_H21e zenon_H3aa zenon_H38a zenon_H360 zenon_H2c6 zenon_H1e2 zenon_H396 zenon_H4a2 zenon_H526 zenon_H3db zenon_H1f4 zenon_H227 zenon_H343 zenon_H1ed zenon_H1eb zenon_H219 zenon_H272 zenon_H56 zenon_Hd9 zenon_Hda zenon_H9e zenon_H4f zenon_H44 zenon_H28 zenon_H6e zenon_H19 zenon_H119 zenon_H161 zenon_Haa zenon_H131 zenon_H109 zenon_H15d zenon_H181 zenon_H103 zenon_H85 zenon_H102 zenon_H107 zenon_H118 zenon_H72 zenon_H10f zenon_H13c zenon_H8f zenon_H189 zenon_H33 zenon_H29 zenon_H26. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.99/66.11 apply (zenon_L951_); trivial. % 65.99/66.11 (* end of lemma zenon_L952_ *) % 65.99/66.11 assert (zenon_L953_ : (~((op2 (e23) (e23)) = (e20))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> ((op2 (e22) (e23)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.99/66.11 do 0 intro. intros zenon_H9b zenon_H252 zenon_H3ea zenon_H27d zenon_H36e zenon_H3a7 zenon_H3b8 zenon_H30f zenon_H2b4 zenon_H1ee zenon_H21e zenon_H3aa zenon_H38a zenon_H360 zenon_H2c6 zenon_H396 zenon_H4a2 zenon_H526 zenon_H3db zenon_H1ff zenon_H1f4 zenon_H227 zenon_H343 zenon_H1ed zenon_H1eb zenon_H219 zenon_H272 zenon_H29 zenon_H1b zenon_H56 zenon_H9e zenon_Hba zenon_H19 zenon_H28 zenon_H1a6 zenon_H51 zenon_H1e5 zenon_H96 zenon_H19a zenon_Hd0 zenon_H193 zenon_Hd9 zenon_H77 zenon_H431 zenon_H33 zenon_H1dd zenon_H1e2 zenon_H17a zenon_H119 zenon_H44d zenon_H109 zenon_H26 zenon_H156. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H431); [ zenon_intro zenon_Hda | zenon_intro zenon_H432 ]. % 65.99/66.11 apply (zenon_L949_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_He1 | zenon_intro zenon_H433 ]. % 65.99/66.11 apply (zenon_L746_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H433); [ zenon_intro zenon_He5 | zenon_intro zenon_He9 ]. % 65.99/66.11 apply (zenon_L660_); trivial. % 65.99/66.11 apply (zenon_L613_); trivial. % 65.99/66.11 (* end of lemma zenon_L953_ *) % 65.99/66.11 assert (zenon_L954_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op2 (e23) (e23)) = (e20))) -> False). % 65.99/66.11 do 0 intro. intros zenon_H182 zenon_H14c zenon_H131 zenon_Hc6 zenon_H8a zenon_H107 zenon_H9c zenon_H6e zenon_H44 zenon_H4f zenon_H109 zenon_H44d zenon_H119 zenon_H17a zenon_H1dd zenon_H33 zenon_H431 zenon_Hd9 zenon_H193 zenon_Hd0 zenon_H19a zenon_H96 zenon_H1e5 zenon_H1a6 zenon_H28 zenon_H19 zenon_Hba zenon_H9e zenon_H56 zenon_H1b zenon_H29 zenon_H272 zenon_H219 zenon_H1eb zenon_H1ed zenon_H343 zenon_H227 zenon_H1f4 zenon_H1ff zenon_H3db zenon_H526 zenon_H4a2 zenon_H26 zenon_H396 zenon_H1e2 zenon_H2c6 zenon_H360 zenon_H38a zenon_H3aa zenon_H21e zenon_H1ee zenon_H2b4 zenon_H30f zenon_H3b8 zenon_H3a7 zenon_H36e zenon_H27d zenon_H3ea zenon_H252 zenon_H9b. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H14d | zenon_intro zenon_H185 ]. % 65.99/66.11 apply (zenon_L140_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H186 ]. % 65.99/66.11 apply (zenon_L63_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H156 ]. % 65.99/66.11 apply (zenon_L107_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.99/66.11 apply (zenon_L5_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.99/66.11 apply (zenon_L12_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.99/66.11 exact (zenon_H4f zenon_H4b). % 65.99/66.11 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H77 | zenon_intro zenon_Ha4 ]. % 65.99/66.11 apply (zenon_L953_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha5 ]. % 65.99/66.11 apply (zenon_L15_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 65.99/66.11 apply (zenon_L948_); trivial. % 65.99/66.11 exact (zenon_H9b zenon_H95). % 65.99/66.11 (* end of lemma zenon_L954_ *) % 65.99/66.11 assert (zenon_L955_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e23) (e20)) = (e23)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((op1 (e13) (e10)) = (e13)) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e23) (e23)) = (e20))) -> False). % 65.99/66.11 do 0 intro. intros zenon_H9e zenon_Hda zenon_Hd9 zenon_H56 zenon_H1b zenon_H29 zenon_H526 zenon_H2d1 zenon_H4a2 zenon_H51 zenon_H26 zenon_H396 zenon_H1e2 zenon_H9b. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H77 | zenon_intro zenon_Ha4 ]. % 65.99/66.11 apply (zenon_L53_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha5 ]. % 65.99/66.11 apply (zenon_L15_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 65.99/66.11 apply (zenon_L943_); trivial. % 65.99/66.11 exact (zenon_H9b zenon_H95). % 65.99/66.11 (* end of lemma zenon_L955_ *) % 65.99/66.11 assert (zenon_L956_ : (~((op2 (e23) (e23)) = (e20))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((op1 (e13) (e10)) = (e13)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> ((op2 (e22) (e23)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.99/66.11 do 0 intro. intros zenon_H9b zenon_H396 zenon_H4a2 zenon_H2d1 zenon_H526 zenon_H29 zenon_H1b zenon_H56 zenon_H9e zenon_Hba zenon_H19 zenon_H28 zenon_H1a6 zenon_H51 zenon_H1e5 zenon_H96 zenon_H19a zenon_Hd0 zenon_H193 zenon_Hd9 zenon_H77 zenon_H431 zenon_H33 zenon_H1dd zenon_H1e2 zenon_H17a zenon_H119 zenon_H44d zenon_H109 zenon_H26 zenon_H156. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H431); [ zenon_intro zenon_Hda | zenon_intro zenon_H432 ]. % 65.99/66.11 apply (zenon_L955_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_He1 | zenon_intro zenon_H433 ]. % 65.99/66.11 apply (zenon_L746_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H433); [ zenon_intro zenon_He5 | zenon_intro zenon_He9 ]. % 65.99/66.11 apply (zenon_L660_); trivial. % 65.99/66.11 apply (zenon_L613_); trivial. % 65.99/66.11 (* end of lemma zenon_L956_ *) % 65.99/66.11 assert (zenon_L957_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((op1 (e13) (e10)) = (e13)) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e23) (e23)) = (e20))) -> False). % 65.99/66.11 do 0 intro. intros zenon_H182 zenon_H14c zenon_H131 zenon_Hc6 zenon_H8a zenon_H107 zenon_H9c zenon_H6e zenon_H44 zenon_H4f zenon_H109 zenon_H44d zenon_H119 zenon_H17a zenon_H1dd zenon_H33 zenon_H431 zenon_Hd9 zenon_H193 zenon_Hd0 zenon_H19a zenon_H96 zenon_H1e5 zenon_H1a6 zenon_H28 zenon_H19 zenon_Hba zenon_H9e zenon_H56 zenon_H1b zenon_H29 zenon_H526 zenon_H2d1 zenon_H4a2 zenon_H26 zenon_H396 zenon_H1e2 zenon_H9b. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H14d | zenon_intro zenon_H185 ]. % 65.99/66.11 apply (zenon_L140_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H186 ]. % 65.99/66.11 apply (zenon_L63_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H156 ]. % 65.99/66.11 apply (zenon_L107_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.99/66.11 apply (zenon_L5_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.99/66.11 apply (zenon_L12_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.99/66.11 exact (zenon_H4f zenon_H4b). % 65.99/66.11 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H77 | zenon_intro zenon_Ha4 ]. % 65.99/66.11 apply (zenon_L956_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha5 ]. % 65.99/66.11 apply (zenon_L15_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 65.99/66.11 apply (zenon_L943_); trivial. % 65.99/66.11 exact (zenon_H9b zenon_H95). % 65.99/66.11 (* end of lemma zenon_L957_ *) % 65.99/66.11 assert (zenon_L958_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op1 (e10) (op1 (e10) (e10))) = (e10))\/(((op1 (e11) (op1 (e11) (e10))) = (e11))\/(((op1 (e12) (op1 (e12) (e10))) = (e12))\/((op1 (e13) (op1 (e13) (e10))) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (op1 (e10) (e12))) = (e10))\/(((op1 (e11) (op1 (e11) (e12))) = (e11))\/(((op1 (e12) (op1 (e12) (e12))) = (e12))\/((op1 (e13) (op1 (e13) (e12))) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (op1 (e10) (e11))) = (e10))\/(((op1 (e11) (op1 (e11) (e11))) = (e11))\/(((op1 (e12) (op1 (e12) (e11))) = (e12))\/((op1 (e13) (op1 (e13) (e11))) = (e13))))) -> (~((e12) = (e13))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.99/66.11 do 0 intro. intros zenon_Hc3 zenon_H48d zenon_H2a1 zenon_H2eb zenon_H2b3 zenon_H3c1 zenon_H293 zenon_H284 zenon_H329 zenon_H37f zenon_H2df zenon_H300 zenon_H2af zenon_H3f0 zenon_H3d0 zenon_H382 zenon_H348 zenon_H303 zenon_H2d8 zenon_H354 zenon_H369 zenon_H328 zenon_H2aa zenon_H197 zenon_H1e2 zenon_H396 zenon_H4a2 zenon_H526 zenon_H9e zenon_Hba zenon_H1a6 zenon_H1e5 zenon_H96 zenon_H19a zenon_Hd0 zenon_H193 zenon_Hd9 zenon_H431 zenon_H1dd zenon_H17a zenon_H119 zenon_H44d zenon_H109 zenon_H131 zenon_H14c zenon_H182 zenon_H8f zenon_H16b zenon_H19 zenon_H13c zenon_H142 zenon_H44 zenon_H28 zenon_H6e zenon_H8a zenon_H107 zenon_H56 zenon_H9c zenon_H33 zenon_H29 zenon_H26 zenon_H3aa zenon_H164 zenon_H1a9 zenon_H1af zenon_H3c7 zenon_H3c4 zenon_H29e zenon_H3cd zenon_H2ef zenon_H3d1 zenon_H364 zenon_H299 zenon_H360 zenon_H2e8 zenon_H372 zenon_H26b zenon_H2f7 zenon_H367 zenon_H265 zenon_H401 zenon_H2f4 zenon_H3ef zenon_H3b4 zenon_H24e zenon_H25a zenon_H228 zenon_H20c zenon_H204 zenon_H215 zenon_H212 zenon_H404 zenon_H30f zenon_H32c zenon_H3e3 zenon_H392 zenon_H414 zenon_H2c6 zenon_H1ed zenon_H320 zenon_H342 zenon_H347 zenon_H1fa zenon_H1f4 zenon_H227 zenon_H2e4 zenon_H31d zenon_H35d zenon_H40d zenon_H353 zenon_H36e zenon_H252 zenon_H3b8 zenon_H3ea zenon_H27d zenon_H3db zenon_H38a zenon_H2fa zenon_H3cb zenon_H3d6 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H1eb zenon_H219 zenon_H272. % 65.99/66.11 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.99/66.11 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.99/66.11 apply (zenon_L227_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.99/66.11 apply (zenon_L329_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.99/66.11 apply (zenon_L378_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.99/66.11 apply (zenon_L394_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.99/66.11 apply (zenon_L860_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.99/66.11 apply (zenon_L861_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.11 apply (zenon_L228_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.11 apply (zenon_L229_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.11 apply (zenon_L230_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.11 apply (zenon_L232_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.11 apply (zenon_L239_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.11 apply (zenon_L240_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.11 apply (zenon_L245_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.11 apply (zenon_L247_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.11 exact (zenon_H17 zenon_H14). % 65.99/66.11 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.11 apply (zenon_L954_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.11 apply (zenon_L155_); trivial. % 65.99/66.11 apply (zenon_L7_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.11 apply (zenon_L263_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.11 apply (zenon_L264_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.11 apply (zenon_L266_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.11 exact (zenon_H17 zenon_H14). % 65.99/66.11 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.11 apply (zenon_L957_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.11 apply (zenon_L148_); trivial. % 65.99/66.11 apply (zenon_L7_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.11 apply (zenon_L269_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.11 apply (zenon_L405_); trivial. % 65.99/66.11 apply (zenon_L301_); trivial. % 65.99/66.11 apply (zenon_L328_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.99/66.11 apply (zenon_L415_); trivial. % 65.99/66.11 apply (zenon_L485_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.99/66.11 apply (zenon_L529_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.99/66.11 apply (zenon_L559_); trivial. % 65.99/66.11 apply (zenon_L587_); trivial. % 65.99/66.11 (* end of lemma zenon_L958_ *) % 65.99/66.11 assert (zenon_L959_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e23) (e20)) = (e23)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((op1 (e13) (e10)) = (e13)) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e23) (e23)) = (e20))) -> False). % 65.99/66.11 do 0 intro. intros zenon_H6e zenon_H28 zenon_H44 zenon_H4f zenon_H9e zenon_Hda zenon_Hd9 zenon_H56 zenon_H1b zenon_H29 zenon_H526 zenon_H2d1 zenon_H4a2 zenon_H26 zenon_H396 zenon_H1e2 zenon_H9b. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.99/66.11 apply (zenon_L5_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.99/66.11 apply (zenon_L12_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.99/66.11 exact (zenon_H4f zenon_H4b). % 65.99/66.11 apply (zenon_L955_); trivial. % 65.99/66.11 (* end of lemma zenon_L959_ *) % 65.99/66.11 assert (zenon_L960_ : (((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20)))))))) -> (((op1 (e10) (op1 (e10) (e10))) = (e10))\/(((op1 (e11) (op1 (e11) (e10))) = (e11))\/(((op1 (e12) (op1 (e12) (e10))) = (e12))\/((op1 (e13) (op1 (e13) (e10))) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((op2 (e22) (op2 (e22) (e23))) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (op1 (e10) (e12))) = (e10))\/(((op1 (e11) (op1 (e11) (e12))) = (e11))\/(((op1 (e12) (op1 (e12) (e12))) = (e12))\/((op1 (e13) (op1 (e13) (e12))) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (op1 (e10) (e11))) = (e10))\/(((op1 (e11) (op1 (e11) (e11))) = (e11))\/(((op1 (e12) (op1 (e12) (e11))) = (e12))\/((op1 (e13) (op1 (e13) (e11))) = (e13))))) -> (~((e12) = (e13))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.99/66.11 do 0 intro. intros zenon_Hdc zenon_H48d zenon_H2a1 zenon_H2eb zenon_H2b3 zenon_H3c1 zenon_H293 zenon_H284 zenon_H329 zenon_H37f zenon_H2df zenon_H300 zenon_H2af zenon_H3f0 zenon_H3d0 zenon_H382 zenon_H348 zenon_H303 zenon_H2d8 zenon_H354 zenon_H369 zenon_H328 zenon_H2aa zenon_H197 zenon_H1e2 zenon_H396 zenon_H4a2 zenon_H526 zenon_Hd9 zenon_H9e zenon_H19 zenon_H96 zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H6e zenon_H28 zenon_H44 zenon_H142 zenon_H13c zenon_H16b zenon_H8f zenon_H1a6 zenon_H14c zenon_H164 zenon_H1a9 zenon_H1af zenon_H33 zenon_H29 zenon_H26 zenon_H3aa zenon_H3c7 zenon_H3c4 zenon_H29e zenon_H3cd zenon_H2ef zenon_H3d1 zenon_H364 zenon_H299 zenon_H360 zenon_H2e8 zenon_H372 zenon_H26b zenon_H2f7 zenon_H367 zenon_H265 zenon_H401 zenon_H2f4 zenon_H3ef zenon_H3b4 zenon_H24e zenon_H25a zenon_H228 zenon_H20c zenon_H204 zenon_H215 zenon_H212 zenon_H404 zenon_H30f zenon_H32c zenon_H3e3 zenon_H392 zenon_H414 zenon_H2c6 zenon_H1ed zenon_H320 zenon_H342 zenon_H347 zenon_H1fa zenon_H1f4 zenon_H227 zenon_H2e4 zenon_H31d zenon_H35d zenon_H40d zenon_H353 zenon_H36e zenon_H252 zenon_H3b8 zenon_H3ea zenon_H27d zenon_H3db zenon_H38a zenon_H2fa zenon_H3cb zenon_H3d6 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H1eb zenon_H219 zenon_H272. % 65.99/66.11 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.99/66.11 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.99/66.11 apply (zenon_L227_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.99/66.11 apply (zenon_L329_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.99/66.11 apply (zenon_L378_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.99/66.11 apply (zenon_L394_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.99/66.11 apply (zenon_L860_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.99/66.11 apply (zenon_L861_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.11 apply (zenon_L228_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.11 apply (zenon_L229_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.11 apply (zenon_L230_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.11 apply (zenon_L232_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.11 apply (zenon_L239_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.11 apply (zenon_L240_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.11 apply (zenon_L245_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.11 apply (zenon_L247_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.11 exact (zenon_H17 zenon_H14). % 65.99/66.11 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.11 apply (zenon_L950_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.11 apply (zenon_L155_); trivial. % 65.99/66.11 apply (zenon_L7_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.11 apply (zenon_L263_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.11 apply (zenon_L264_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.11 apply (zenon_L266_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.11 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.11 exact (zenon_H17 zenon_H14). % 65.99/66.11 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.11 apply (zenon_L959_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.11 apply (zenon_L155_); trivial. % 65.99/66.11 apply (zenon_L7_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.11 apply (zenon_L269_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.11 apply (zenon_L405_); trivial. % 65.99/66.11 apply (zenon_L301_); trivial. % 65.99/66.11 apply (zenon_L328_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.99/66.11 apply (zenon_L415_); trivial. % 65.99/66.11 apply (zenon_L485_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.99/66.11 apply (zenon_L529_); trivial. % 65.99/66.11 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.99/66.11 apply (zenon_L559_); trivial. % 65.99/66.12 apply (zenon_L587_); trivial. % 65.99/66.12 (* end of lemma zenon_L960_ *) % 65.99/66.12 assert (zenon_L961_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> False). % 65.99/66.12 do 0 intro. intros zenon_H329 zenon_H212 zenon_H24e zenon_H219 zenon_H1eb zenon_H320 zenon_H52d zenon_H491 zenon_H39a zenon_H4a2. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.99/66.12 apply (zenon_L225_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.99/66.12 apply (zenon_L236_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.99/66.12 apply (zenon_L311_); trivial. % 65.99/66.12 cut (((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) = ((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))). % 65.99/66.12 intro zenon_D_pnotp. % 65.99/66.12 apply zenon_H52d. % 65.99/66.12 rewrite <- zenon_D_pnotp. % 65.99/66.12 exact zenon_H491. % 65.99/66.12 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (h4 (e13)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52e]. % 65.99/66.12 cut (((h4 (e12)) = (h4 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52f]. % 65.99/66.12 congruence. % 65.99/66.12 elim (classic ((h4 (op1 (e13) (e11))) = (h4 (op1 (e13) (e11))))); [ zenon_intro zenon_H530 | zenon_intro zenon_H531 ]. % 65.99/66.12 cut (((h4 (op1 (e13) (e11))) = (h4 (op1 (e13) (e11)))) = ((h4 (e12)) = (h4 (op1 (e13) (e11))))). % 65.99/66.12 intro zenon_D_pnotp. % 65.99/66.12 apply zenon_H52f. % 65.99/66.12 rewrite <- zenon_D_pnotp. % 65.99/66.12 exact zenon_H530. % 65.99/66.12 cut (((h4 (op1 (e13) (e11))) = (h4 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H531]. % 65.99/66.12 cut (((h4 (op1 (e13) (e11))) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H532]. % 65.99/66.12 congruence. % 65.99/66.12 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H3e1]. % 65.99/66.12 congruence. % 65.99/66.12 exact (zenon_H3e1 zenon_H324). % 65.99/66.12 apply zenon_H531. apply refl_equal. % 65.99/66.12 apply zenon_H531. apply refl_equal. % 65.99/66.12 cut (((op2 (e23) (e23)) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H533]. % 65.99/66.12 cut (((e23) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H51d]. % 65.99/66.12 congruence. % 65.99/66.12 apply zenon_H51d. apply sym_equal. exact zenon_H4a2. % 65.99/66.12 apply zenon_H533. apply sym_equal. exact zenon_H39a. % 65.99/66.12 (* end of lemma zenon_L961_ *) % 65.99/66.12 assert (zenon_L962_ : ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op1 (e13) (e12)) = (e10)) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((e20) = (h4 (op1 (e13) (e12))))) -> False). % 65.99/66.12 do 0 intro. intros zenon_H396 zenon_H29f zenon_H29 zenon_H534. % 65.99/66.12 elim (classic ((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12))))); [ zenon_intro zenon_H535 | zenon_intro zenon_H536 ]. % 65.99/66.12 cut (((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12)))) = ((e20) = (h4 (op1 (e13) (e12))))). % 65.99/66.12 intro zenon_D_pnotp. % 65.99/66.12 apply zenon_H534. % 65.99/66.12 rewrite <- zenon_D_pnotp. % 65.99/66.12 exact zenon_H535. % 65.99/66.12 cut (((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H536]. % 65.99/66.12 cut (((h4 (op1 (e13) (e12))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H537]. % 65.99/66.12 congruence. % 65.99/66.12 cut (((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((h4 (op1 (e13) (e12))) = (e20))). % 65.99/66.12 intro zenon_D_pnotp. % 65.99/66.12 apply zenon_H537. % 65.99/66.12 rewrite <- zenon_D_pnotp. % 65.99/66.12 exact zenon_H396. % 65.99/66.12 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H397]. % 65.99/66.12 cut (((h4 (e10)) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H538]. % 65.99/66.12 congruence. % 65.99/66.12 elim (classic ((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12))))); [ zenon_intro zenon_H535 | zenon_intro zenon_H536 ]. % 65.99/66.12 cut (((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12)))) = ((h4 (e10)) = (h4 (op1 (e13) (e12))))). % 65.99/66.12 intro zenon_D_pnotp. % 65.99/66.12 apply zenon_H538. % 65.99/66.12 rewrite <- zenon_D_pnotp. % 65.99/66.12 exact zenon_H535. % 65.99/66.12 cut (((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H536]. % 65.99/66.12 cut (((h4 (op1 (e13) (e12))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H539]. % 65.99/66.12 congruence. % 65.99/66.12 cut (((op1 (e13) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H53a]. % 65.99/66.12 congruence. % 65.99/66.12 exact (zenon_H53a zenon_H29f). % 65.99/66.12 apply zenon_H536. apply refl_equal. % 65.99/66.12 apply zenon_H536. apply refl_equal. % 65.99/66.12 apply zenon_H397. apply sym_equal. exact zenon_H29. % 65.99/66.12 apply zenon_H536. apply refl_equal. % 65.99/66.12 apply zenon_H536. apply refl_equal. % 65.99/66.12 (* end of lemma zenon_L962_ *) % 65.99/66.12 assert (zenon_L963_ : ((op2 (e23) (e22)) = (e20)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op1 (e13) (e12)) = (e10)) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> False). % 65.99/66.12 do 0 intro. intros zenon_H92 zenon_H4a2 zenon_H491 zenon_H26 zenon_H396 zenon_H29 zenon_H29f zenon_H53b. % 65.99/66.12 elim (classic ((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12))))); [ zenon_intro zenon_H53c | zenon_intro zenon_H53d ]. % 65.99/66.12 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12)))) = ((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))). % 65.99/66.12 intro zenon_D_pnotp. % 65.99/66.12 apply zenon_H53b. % 65.99/66.12 rewrite <- zenon_D_pnotp. % 65.99/66.12 exact zenon_H53c. % 65.99/66.12 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H53d]. % 65.99/66.12 cut (((op2 (h4 (e13)) (h4 (e12))) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H53e]. % 65.99/66.12 congruence. % 65.99/66.12 cut (((op2 (e23) (e22)) = (e20)) = ((op2 (h4 (e13)) (h4 (e12))) = (h4 (op1 (e13) (e12))))). % 65.99/66.12 intro zenon_D_pnotp. % 65.99/66.12 apply zenon_H53e. % 65.99/66.12 rewrite <- zenon_D_pnotp. % 65.99/66.12 exact zenon_H92. % 65.99/66.12 cut (((e20) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H534]. % 65.99/66.12 cut (((op2 (e23) (e22)) = (op2 (h4 (e13)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H53f]. % 65.99/66.12 congruence. % 65.99/66.12 elim (classic ((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12))))); [ zenon_intro zenon_H53c | zenon_intro zenon_H53d ]. % 65.99/66.12 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12)))) = ((op2 (e23) (e22)) = (op2 (h4 (e13)) (h4 (e12))))). % 65.99/66.12 intro zenon_D_pnotp. % 65.99/66.12 apply zenon_H53f. % 65.99/66.12 rewrite <- zenon_D_pnotp. % 65.99/66.12 exact zenon_H53c. % 65.99/66.12 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H53d]. % 65.99/66.12 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H540]. % 65.99/66.12 congruence. % 65.99/66.12 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H490]. % 65.99/66.12 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H4ae]. % 65.99/66.12 congruence. % 65.99/66.12 exact (zenon_H4ae zenon_H4a2). % 65.99/66.12 apply (zenon_L854_); trivial. % 65.99/66.12 apply zenon_H53d. apply refl_equal. % 65.99/66.12 apply zenon_H53d. apply refl_equal. % 65.99/66.12 apply (zenon_L962_); trivial. % 65.99/66.12 apply zenon_H53d. apply refl_equal. % 65.99/66.12 apply zenon_H53d. apply refl_equal. % 65.99/66.12 (* end of lemma zenon_L963_ *) % 65.99/66.12 assert (zenon_L964_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e20)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 65.99/66.12 do 0 intro. intros zenon_H3aa zenon_H53b zenon_H29 zenon_H396 zenon_H26 zenon_H491 zenon_H4a2 zenon_H92 zenon_H360 zenon_H2c6 zenon_H219 zenon_H3ea zenon_H27d zenon_H36e zenon_H3a7 zenon_H252 zenon_H1eb zenon_H312. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H29f | zenon_intro zenon_H3ab ]. % 65.99/66.12 apply (zenon_L963_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H361 | zenon_intro zenon_H3ac ]. % 65.99/66.12 apply (zenon_L343_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H3ac); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H33d ]. % 65.99/66.12 apply (zenon_L265_); trivial. % 65.99/66.12 apply (zenon_L883_); trivial. % 65.99/66.12 (* end of lemma zenon_L964_ *) % 65.99/66.12 assert (zenon_L965_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e20)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False). % 65.99/66.12 do 0 intro. intros zenon_H3aa zenon_H53b zenon_H29 zenon_H396 zenon_H26 zenon_H491 zenon_H4a2 zenon_H92 zenon_H360 zenon_H2c6 zenon_H219 zenon_H1eb zenon_H3a7 zenon_H2d5 zenon_H252. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H29f | zenon_intro zenon_H3ab ]. % 65.99/66.12 apply (zenon_L963_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H361 | zenon_intro zenon_H3ac ]. % 65.99/66.12 apply (zenon_L343_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H3ac); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H33d ]. % 65.99/66.12 apply (zenon_L265_); trivial. % 65.99/66.12 apply (zenon_L475_); trivial. % 65.99/66.12 (* end of lemma zenon_L965_ *) % 65.99/66.12 assert (zenon_L966_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e20)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False). % 65.99/66.12 do 0 intro. intros zenon_H31d zenon_H1ee zenon_H2e4 zenon_H36e zenon_H27d zenon_H3ea zenon_H3aa zenon_H53b zenon_H29 zenon_H396 zenon_H26 zenon_H491 zenon_H4a2 zenon_H92 zenon_H360 zenon_H2c6 zenon_H219 zenon_H1eb zenon_H3a7 zenon_H252. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H2e5 | zenon_intro zenon_H31e ]. % 65.99/66.12 apply (zenon_L283_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H27b | zenon_intro zenon_H31f ]. % 65.99/66.12 apply (zenon_L290_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H312 | zenon_intro zenon_H2d5 ]. % 65.99/66.12 apply (zenon_L964_); trivial. % 65.99/66.12 apply (zenon_L965_); trivial. % 65.99/66.12 (* end of lemma zenon_L966_ *) % 65.99/66.12 assert (zenon_L967_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e21)) = (e22))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False). % 65.99/66.12 do 0 intro. intros zenon_H9c zenon_H9d zenon_H19 zenon_H8a zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H9e zenon_H3f zenon_H76 zenon_H56 zenon_H1b zenon_H252 zenon_H3a7 zenon_H1eb zenon_H219 zenon_H2c6 zenon_H360 zenon_H4a2 zenon_H491 zenon_H396 zenon_H29 zenon_H53b zenon_H3aa zenon_H3ea zenon_H27d zenon_H36e zenon_H2e4 zenon_H1ee zenon_H31d zenon_H26 zenon_H96. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H63 | zenon_intro zenon_Ha1 ]. % 65.99/66.12 apply (zenon_L19_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 65.99/66.12 exact (zenon_H9d zenon_Ha3). % 65.99/66.12 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 65.99/66.12 apply (zenon_L33_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H2a | zenon_intro zenon_H6f ]. % 65.99/66.12 apply (zenon_L5_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H45 | zenon_intro zenon_H70 ]. % 65.99/66.12 apply (zenon_L12_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H4b | zenon_intro zenon_H51 ]. % 65.99/66.12 apply (zenon_L13_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H77 | zenon_intro zenon_Ha4 ]. % 65.99/66.12 apply (zenon_L24_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha5 ]. % 65.99/66.12 apply (zenon_L15_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 65.99/66.12 apply (zenon_L966_); trivial. % 65.99/66.12 apply (zenon_L37_); trivial. % 65.99/66.12 (* end of lemma zenon_L967_ *) % 65.99/66.12 assert (zenon_L968_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))\/(((op1 (e11) (op1 (e11) (e10))) = (e11))\/(((op1 (e12) (op1 (e12) (e10))) = (e12))\/((op1 (e13) (op1 (e13) (e10))) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (op1 (e10) (e12))) = (e10))\/(((op1 (e11) (op1 (e11) (e12))) = (e11))\/(((op1 (e12) (op1 (e12) (e12))) = (e12))\/((op1 (e13) (op1 (e13) (e12))) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (op1 (e10) (e11))) = (e10))\/(((op1 (e11) (op1 (e11) (e11))) = (e11))\/(((op1 (e12) (op1 (e12) (e11))) = (e12))\/((op1 (e13) (op1 (e13) (e11))) = (e13))))) -> (~((e12) = (e13))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.99/66.12 do 0 intro. intros zenon_H48d zenon_H2a1 zenon_H2eb zenon_H2b3 zenon_H3c1 zenon_H293 zenon_H284 zenon_H329 zenon_H37f zenon_H2df zenon_H300 zenon_H2af zenon_H3f0 zenon_H3d0 zenon_H328 zenon_H382 zenon_H369 zenon_H348 zenon_H2aa zenon_H303 zenon_H2d8 zenon_H354 zenon_H71 zenon_H96 zenon_H3aa zenon_H53b zenon_H396 zenon_H491 zenon_H4a2 zenon_H76 zenon_H9e zenon_H8a zenon_H9d zenon_H9c zenon_H85 zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H6b zenon_H29 zenon_H19 zenon_H26 zenon_H56 zenon_H33 zenon_H3f zenon_H3c7 zenon_H3c4 zenon_H29e zenon_H3cd zenon_H2ef zenon_H3d1 zenon_H364 zenon_H299 zenon_H360 zenon_H2e8 zenon_H372 zenon_H26b zenon_H2f7 zenon_H367 zenon_H265 zenon_H401 zenon_H2f4 zenon_H3ef zenon_H3b4 zenon_H24e zenon_H25a zenon_H228 zenon_H20c zenon_H204 zenon_H215 zenon_H212 zenon_H404 zenon_H30f zenon_H32c zenon_H3e3 zenon_H392 zenon_H414 zenon_H2c6 zenon_H1ed zenon_H320 zenon_H342 zenon_H347 zenon_H1fa zenon_H1f4 zenon_H227 zenon_H2e4 zenon_H31d zenon_H35d zenon_H40d zenon_H353 zenon_H36e zenon_H252 zenon_H3b8 zenon_H3ea zenon_H27d zenon_H3db zenon_H38a zenon_H2fa zenon_H3cb zenon_H3d6 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H1eb zenon_H219 zenon_H272. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.99/66.12 apply (zenon_L227_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.99/66.12 apply (zenon_L329_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.99/66.12 apply (zenon_L378_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.99/66.12 apply (zenon_L394_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H1b | zenon_intro zenon_H73 ]. % 65.99/66.12 apply (zenon_L967_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 65.99/66.12 apply (zenon_L43_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H45 | zenon_intro zenon_H55 ]. % 65.99/66.12 apply (zenon_L12_); trivial. % 65.99/66.12 apply (zenon_L22_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.99/66.12 apply (zenon_L415_); trivial. % 65.99/66.12 apply (zenon_L485_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.99/66.12 apply (zenon_L529_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.99/66.12 apply (zenon_L559_); trivial. % 65.99/66.12 apply (zenon_L587_); trivial. % 65.99/66.12 (* end of lemma zenon_L968_ *) % 65.99/66.12 assert (zenon_L969_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op1 (e10) (op1 (e10) (e10))) = (e10))\/(((op1 (e11) (op1 (e11) (e10))) = (e11))\/(((op1 (e12) (op1 (e12) (e10))) = (e12))\/((op1 (e13) (op1 (e13) (e10))) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (op1 (e10) (e12))) = (e10))\/(((op1 (e11) (op1 (e11) (e12))) = (e11))\/(((op1 (e12) (op1 (e12) (e12))) = (e12))\/((op1 (e13) (op1 (e13) (e12))) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (op1 (e10) (e11))) = (e10))\/(((op1 (e11) (op1 (e11) (e11))) = (e11))\/(((op1 (e12) (op1 (e12) (e11))) = (e12))\/((op1 (e13) (op1 (e13) (e11))) = (e13))))) -> (~((e12) = (e13))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.99/66.12 do 0 intro. intros zenon_Hb3 zenon_H48d zenon_H2a1 zenon_H2eb zenon_H2b3 zenon_H3c1 zenon_H293 zenon_H284 zenon_H329 zenon_H37f zenon_H2df zenon_H300 zenon_H2af zenon_H3f0 zenon_H3d0 zenon_H328 zenon_H382 zenon_H369 zenon_H348 zenon_H2aa zenon_H303 zenon_H2d8 zenon_H354 zenon_H71 zenon_H96 zenon_H3aa zenon_H53b zenon_H396 zenon_H491 zenon_H4a2 zenon_H76 zenon_H9e zenon_H8a zenon_H9c zenon_H85 zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H6b zenon_H29 zenon_H19 zenon_H26 zenon_H56 zenon_H33 zenon_H3f zenon_H3c7 zenon_H3c4 zenon_H29e zenon_H3cd zenon_H2ef zenon_H3d1 zenon_H364 zenon_H299 zenon_H360 zenon_H2e8 zenon_H372 zenon_H26b zenon_H2f7 zenon_H367 zenon_H265 zenon_H401 zenon_H2f4 zenon_H3ef zenon_H3b4 zenon_H24e zenon_H25a zenon_H228 zenon_H20c zenon_H204 zenon_H215 zenon_H212 zenon_H404 zenon_H30f zenon_H32c zenon_H3e3 zenon_H392 zenon_H414 zenon_H2c6 zenon_H1ed zenon_H320 zenon_H342 zenon_H347 zenon_H1fa zenon_H1f4 zenon_H227 zenon_H2e4 zenon_H31d zenon_H35d zenon_H40d zenon_H353 zenon_H36e zenon_H252 zenon_H3b8 zenon_H3ea zenon_H27d zenon_H3db zenon_H38a zenon_H2fa zenon_H3cb zenon_H3d6 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H1eb zenon_H219 zenon_H272. % 65.99/66.12 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 65.99/66.12 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_H32. % 65.99/66.12 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.99/66.12 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.99/66.12 apply (zenon_L968_); trivial. % 65.99/66.12 (* end of lemma zenon_L969_ *) % 65.99/66.12 assert (zenon_L970_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22)))))))) -> (((op1 (e10) (op1 (e10) (e10))) = (e10))\/(((op1 (e11) (op1 (e11) (e10))) = (e11))\/(((op1 (e12) (op1 (e12) (e10))) = (e12))\/((op1 (e13) (op1 (e13) (e10))) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e20)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (op1 (e10) (e12))) = (e10))\/(((op1 (e11) (op1 (e11) (e12))) = (e11))\/(((op1 (e12) (op1 (e12) (e12))) = (e12))\/((op1 (e13) (op1 (e13) (e12))) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (op1 (e10) (e11))) = (e10))\/(((op1 (e11) (op1 (e11) (e11))) = (e11))\/(((op1 (e12) (op1 (e12) (e11))) = (e12))\/((op1 (e13) (op1 (e13) (e11))) = (e13))))) -> (~((e12) = (e13))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.99/66.12 do 0 intro. intros zenon_He3 zenon_H48d zenon_H2a1 zenon_H2eb zenon_H2b3 zenon_H3c1 zenon_H293 zenon_H284 zenon_H329 zenon_H37f zenon_H2df zenon_H300 zenon_H2af zenon_H3f0 zenon_H3d0 zenon_H328 zenon_H382 zenon_H369 zenon_H348 zenon_H2aa zenon_H303 zenon_H2d8 zenon_H354 zenon_H71 zenon_H96 zenon_H3aa zenon_H53b zenon_H396 zenon_H491 zenon_H4a2 zenon_H76 zenon_H9e zenon_H8a zenon_H9c zenon_H85 zenon_H6e zenon_H28 zenon_H44 zenon_H4a zenon_H6b zenon_H29 zenon_H19 zenon_H26 zenon_H56 zenon_H33 zenon_H3f zenon_H3c7 zenon_H3c4 zenon_H29e zenon_H3cd zenon_H2ef zenon_H3d1 zenon_H364 zenon_H299 zenon_H360 zenon_H2e8 zenon_H372 zenon_H26b zenon_H2f7 zenon_H367 zenon_H265 zenon_H401 zenon_H2f4 zenon_H3ef zenon_H3b4 zenon_H24e zenon_H25a zenon_H228 zenon_H20c zenon_H204 zenon_H215 zenon_H212 zenon_H404 zenon_H30f zenon_H32c zenon_H3e3 zenon_H392 zenon_H414 zenon_H2c6 zenon_H1ed zenon_H320 zenon_H342 zenon_H347 zenon_H1fa zenon_H1f4 zenon_H227 zenon_H2e4 zenon_H31d zenon_H35d zenon_H40d zenon_H353 zenon_H36e zenon_H252 zenon_H3b8 zenon_H3ea zenon_H27d zenon_H3db zenon_H38a zenon_H2fa zenon_H3cb zenon_H3d6 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H1eb zenon_H219 zenon_H272. % 65.99/66.12 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 65.99/66.12 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_He6. zenon_intro zenon_H32. % 65.99/66.12 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 65.99/66.12 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H9d. zenon_intro zenon_Hb9. % 65.99/66.12 apply (zenon_L968_); trivial. % 65.99/66.12 (* end of lemma zenon_L970_ *) % 65.99/66.12 assert (zenon_L971_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op2 (e23) (e22)) = (e20)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> False). % 65.99/66.12 do 0 intro. intros zenon_H227 zenon_H1ed zenon_H1f4 zenon_H2a1 zenon_H285 zenon_H21e zenon_H270 zenon_H284 zenon_H300 zenon_H301 zenon_H293 zenon_H297 zenon_H29a zenon_H299 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H92 zenon_H4a2 zenon_H491 zenon_H26 zenon_H396 zenon_H29 zenon_H53b. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.99/66.12 apply (zenon_L214_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.99/66.12 apply (zenon_L215_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.99/66.12 apply (zenon_L216_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H23e | zenon_intro zenon_H2a2 ]. % 65.99/66.12 apply (zenon_L298_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a3 ]. % 65.99/66.12 apply (zenon_L256_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H1fb | zenon_intro zenon_H29f ]. % 65.99/66.12 apply (zenon_L216_); trivial. % 65.99/66.12 apply (zenon_L963_); trivial. % 65.99/66.12 (* end of lemma zenon_L971_ *) % 65.99/66.12 assert (zenon_L972_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op2 (e23) (e22)) = (e20)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> False). % 65.99/66.12 do 0 intro. intros zenon_H2eb zenon_H219 zenon_H212 zenon_H2e4 zenon_H2e2 zenon_H20c zenon_H282 zenon_H2df zenon_H29e zenon_H2e8 zenon_H227 zenon_H1ed zenon_H1f4 zenon_H2a1 zenon_H285 zenon_H21e zenon_H270 zenon_H284 zenon_H300 zenon_H301 zenon_H293 zenon_H29a zenon_H299 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H92 zenon_H4a2 zenon_H491 zenon_H26 zenon_H396 zenon_H29 zenon_H53b. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.99/66.12 exact (zenon_H270 zenon_H289). % 65.99/66.12 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.99/66.12 apply (zenon_L225_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.99/66.12 apply (zenon_L284_); trivial. % 65.99/66.12 apply (zenon_L971_); trivial. % 65.99/66.12 (* end of lemma zenon_L972_ *) % 65.99/66.12 assert (zenon_L973_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e20)) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.99/66.12 do 0 intro. intros zenon_H2b3 zenon_H219 zenon_H27d zenon_H354 zenon_H53b zenon_H29 zenon_H396 zenon_H26 zenon_H491 zenon_H4a2 zenon_H92 zenon_H2e2 zenon_H252 zenon_H251 zenon_H2ef zenon_H20c zenon_H25a zenon_H2e4 zenon_H299 zenon_H29a zenon_H2f7 zenon_H249 zenon_H2eb zenon_H212 zenon_H2aa zenon_H2a1 zenon_H2b4 zenon_H29e zenon_H2e8 zenon_H2fa zenon_H2f4 zenon_H26b zenon_H265 zenon_H2af zenon_H285 zenon_H270 zenon_H284 zenon_H300 zenon_H293 zenon_H1fa zenon_H1f4 zenon_H1ed zenon_H227 zenon_H2df zenon_H2d8 zenon_H303 zenon_H21e zenon_H1ee zenon_H1eb. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.99/66.12 apply (zenon_L274_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H22f | zenon_intro zenon_H304 ]. % 65.99/66.12 apply (zenon_L274_); trivial. % 65.99/66.12 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H236 | zenon_intro zenon_H305 ]. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H282 | zenon_intro zenon_H2b0 ]. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.99/66.13 exact (zenon_H270 zenon_H289). % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.99/66.13 apply (zenon_L225_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.99/66.13 apply (zenon_L284_); trivial. % 65.99/66.13 apply (zenon_L285_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H20a | zenon_intro zenon_H2b1 ]. % 65.99/66.13 apply (zenon_L291_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H27e ]. % 65.99/66.13 apply (zenon_L292_); trivial. % 65.99/66.13 apply (zenon_L248_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H1ef | zenon_intro zenon_H301 ]. % 65.99/66.13 apply (zenon_L214_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H282 | zenon_intro zenon_H2b0 ]. % 65.99/66.13 apply (zenon_L972_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H20a | zenon_intro zenon_H2b1 ]. % 65.99/66.13 apply (zenon_L291_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H27e ]. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H282 | zenon_intro zenon_H356 ]. % 65.99/66.13 apply (zenon_L972_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H356); [ zenon_intro zenon_H260 | zenon_intro zenon_H357 ]. % 65.99/66.13 apply (zenon_L289_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H2fb ]. % 65.99/66.13 apply (zenon_L294_); trivial. % 65.99/66.13 apply (zenon_L295_); trivial. % 65.99/66.13 apply (zenon_L248_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.99/66.13 apply (zenon_L300_); trivial. % 65.99/66.13 apply (zenon_L231_); trivial. % 65.99/66.13 (* end of lemma zenon_L973_ *) % 65.99/66.13 assert (zenon_L974_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.99/66.13 do 0 intro. intros zenon_H1e5 zenon_H1eb zenon_H1ee zenon_H21e zenon_H303 zenon_H2d8 zenon_H2df zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1fa zenon_H293 zenon_H300 zenon_H284 zenon_H270 zenon_H285 zenon_H2af zenon_H265 zenon_H26b zenon_H2f4 zenon_H2fa zenon_H2e8 zenon_H29e zenon_H2b4 zenon_H2a1 zenon_H2aa zenon_H212 zenon_H2eb zenon_H249 zenon_H2f7 zenon_H29a zenon_H299 zenon_H2e4 zenon_H25a zenon_H20c zenon_H2ef zenon_H251 zenon_H252 zenon_H2e2 zenon_H4a2 zenon_H491 zenon_H396 zenon_H29 zenon_H53b zenon_H354 zenon_H27d zenon_H219 zenon_H2b3 zenon_H19a zenon_Hd0 zenon_H19 zenon_H44d zenon_H119 zenon_H17a zenon_H1e2 zenon_H109 zenon_H26 zenon_H156. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.99/66.13 apply (zenon_L973_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.99/66.13 apply (zenon_L133_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.99/66.13 apply (zenon_L51_); trivial. % 65.99/66.13 apply (zenon_L660_); trivial. % 65.99/66.13 (* end of lemma zenon_L974_ *) % 65.99/66.13 assert (zenon_L975_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e10)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 65.99/66.13 do 0 intro. intros zenon_H1e5 zenon_H1eb zenon_H1ee zenon_H21e zenon_H303 zenon_H2d8 zenon_H2df zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1fa zenon_H293 zenon_H300 zenon_H284 zenon_H270 zenon_H285 zenon_H2af zenon_H265 zenon_H26b zenon_H2f4 zenon_H2fa zenon_H2e8 zenon_H29e zenon_H2b4 zenon_H2a1 zenon_H2aa zenon_H212 zenon_H2eb zenon_H249 zenon_H2f7 zenon_H29a zenon_H299 zenon_H2e4 zenon_H25a zenon_H20c zenon_H2ef zenon_H251 zenon_H252 zenon_H2e2 zenon_H4a2 zenon_H491 zenon_H396 zenon_H29 zenon_H53b zenon_H354 zenon_H27d zenon_H219 zenon_H2b3 zenon_H19a zenon_Hd0 zenon_H19 zenon_H26 zenon_H1e2 zenon_He2 zenon_H109. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.99/66.13 apply (zenon_L973_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.99/66.13 apply (zenon_L133_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.99/66.13 apply (zenon_L51_); trivial. % 65.99/66.13 apply (zenon_L659_); trivial. % 65.99/66.13 (* end of lemma zenon_L975_ *) % 65.99/66.13 assert (zenon_L976_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> ((op2 (e23) (e22)) = (e20)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> False). % 65.99/66.13 do 0 intro. intros zenon_H227 zenon_H1ed zenon_H1eb zenon_H1ee zenon_H1f4 zenon_H2a1 zenon_H202 zenon_H284 zenon_H285 zenon_H21e zenon_H299 zenon_H35a zenon_H2df zenon_H232 zenon_H293 zenon_H1ff zenon_H92 zenon_H4a2 zenon_H491 zenon_H26 zenon_H396 zenon_H29 zenon_H53b. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.99/66.13 apply (zenon_L214_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.99/66.13 apply (zenon_L215_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.99/66.13 exact (zenon_H1ff zenon_H1fb). % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H23e | zenon_intro zenon_H2a2 ]. % 65.99/66.13 apply (zenon_L254_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a3 ]. % 65.99/66.13 apply (zenon_L366_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H1fb | zenon_intro zenon_H29f ]. % 65.99/66.13 exact (zenon_H1ff zenon_H1fb). % 65.99/66.13 apply (zenon_L963_); trivial. % 65.99/66.13 (* end of lemma zenon_L976_ *) % 65.99/66.13 assert (zenon_L977_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e20)) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((e11) = (e12))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.99/66.13 do 0 intro. intros zenon_H2b3 zenon_H53b zenon_H29 zenon_H396 zenon_H26 zenon_H491 zenon_H4a2 zenon_H92 zenon_H1ff zenon_H293 zenon_H232 zenon_H2df zenon_H35a zenon_H299 zenon_H2a1 zenon_H1f4 zenon_H1ed zenon_H227 zenon_H219 zenon_H27d zenon_H2a9 zenon_H2aa zenon_H25a zenon_H25b zenon_H20c zenon_H24e zenon_H252 zenon_H249 zenon_H284 zenon_H285 zenon_H2af zenon_H21e zenon_H1ee zenon_H1eb. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.99/66.13 exact (zenon_H232 zenon_H22f). % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.99/66.13 apply (zenon_L976_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.99/66.13 apply (zenon_L261_); trivial. % 65.99/66.13 apply (zenon_L231_); trivial. % 65.99/66.13 (* end of lemma zenon_L977_ *) % 65.99/66.13 assert (zenon_L978_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.99/66.13 do 0 intro. intros zenon_H1e5 zenon_H1eb zenon_H1ee zenon_H21e zenon_H2af zenon_H285 zenon_H284 zenon_H249 zenon_H252 zenon_H24e zenon_H20c zenon_H25b zenon_H25a zenon_H2aa zenon_H2a9 zenon_H27d zenon_H219 zenon_H227 zenon_H1ed zenon_H1f4 zenon_H2a1 zenon_H299 zenon_H35a zenon_H2df zenon_H232 zenon_H293 zenon_H1ff zenon_H4a2 zenon_H491 zenon_H396 zenon_H29 zenon_H53b zenon_H2b3 zenon_H19a zenon_Hd0 zenon_H19 zenon_H44d zenon_H119 zenon_H17a zenon_H1e2 zenon_H109 zenon_H26 zenon_H156. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.99/66.13 apply (zenon_L977_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.99/66.13 apply (zenon_L133_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.99/66.13 apply (zenon_L51_); trivial. % 65.99/66.13 apply (zenon_L660_); trivial. % 65.99/66.13 (* end of lemma zenon_L978_ *) % 65.99/66.13 assert (zenon_L979_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 65.99/66.13 do 0 intro. intros zenon_H1e5 zenon_H1eb zenon_H1ee zenon_H21e zenon_H2af zenon_H285 zenon_H284 zenon_H249 zenon_H252 zenon_H24e zenon_H20c zenon_H25b zenon_H25a zenon_H2aa zenon_H2a9 zenon_H27d zenon_H219 zenon_H227 zenon_H1ed zenon_H1f4 zenon_H2a1 zenon_H299 zenon_H35a zenon_H2df zenon_H232 zenon_H293 zenon_H1ff zenon_H4a2 zenon_H491 zenon_H396 zenon_H29 zenon_H53b zenon_H2b3 zenon_H19a zenon_Hd0 zenon_H19 zenon_H26 zenon_H1e2 zenon_He2 zenon_H109. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.99/66.13 apply (zenon_L977_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.99/66.13 apply (zenon_L133_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.99/66.13 apply (zenon_L51_); trivial. % 65.99/66.13 apply (zenon_L659_); trivial. % 65.99/66.13 (* end of lemma zenon_L979_ *) % 65.99/66.13 assert (zenon_L980_ : (((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10)))))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 65.99/66.13 do 0 intro. intros zenon_H2b2 zenon_H161 zenon_Haa zenon_H17a zenon_H119 zenon_H44d zenon_H1e5 zenon_H1eb zenon_H1ee zenon_H21e zenon_H2af zenon_H285 zenon_H284 zenon_H249 zenon_H252 zenon_H24e zenon_H20c zenon_H25a zenon_H2aa zenon_H27d zenon_H219 zenon_H227 zenon_H1ed zenon_H1f4 zenon_H2a1 zenon_H299 zenon_H35a zenon_H2df zenon_H293 zenon_H4a2 zenon_H491 zenon_H396 zenon_H29 zenon_H53b zenon_H2b3 zenon_H19a zenon_Hd0 zenon_H19 zenon_H26 zenon_H1e2 zenon_H109. % 65.99/66.13 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.99/66.13 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.99/66.13 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.13 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.13 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hab | zenon_intro zenon_H162 ]. % 65.99/66.13 apply (zenon_L39_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H163 ]. % 65.99/66.13 apply (zenon_L100_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H156 | zenon_intro zenon_He2 ]. % 65.99/66.13 apply (zenon_L978_); trivial. % 65.99/66.13 apply (zenon_L979_); trivial. % 65.99/66.13 (* end of lemma zenon_L980_ *) % 65.99/66.13 assert (zenon_L981_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (e12))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op2 (e23) (e22)) = (e20)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> False). % 65.99/66.13 do 0 intro. intros zenon_H227 zenon_H1ed zenon_H1f4 zenon_H2a1 zenon_H284 zenon_H285 zenon_H21e zenon_H270 zenon_H35a zenon_H2df zenon_H236 zenon_H293 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H92 zenon_H4a2 zenon_H491 zenon_H26 zenon_H396 zenon_H29 zenon_H53b. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.99/66.13 apply (zenon_L214_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.99/66.13 apply (zenon_L215_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.99/66.13 apply (zenon_L216_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H23e | zenon_intro zenon_H2a2 ]. % 65.99/66.13 apply (zenon_L277_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a3 ]. % 65.99/66.13 apply (zenon_L332_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H1fb | zenon_intro zenon_H29f ]. % 65.99/66.13 apply (zenon_L216_); trivial. % 65.99/66.13 apply (zenon_L963_); trivial. % 65.99/66.13 (* end of lemma zenon_L981_ *) % 65.99/66.13 assert (zenon_L982_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op2 (e23) (e22)) = (e20)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> False). % 65.99/66.13 do 0 intro. intros zenon_H227 zenon_H1ed zenon_H1f4 zenon_H2a1 zenon_H285 zenon_H21e zenon_H270 zenon_H284 zenon_H2df zenon_H236 zenon_H293 zenon_H2f8 zenon_H35a zenon_H2f7 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H92 zenon_H4a2 zenon_H491 zenon_H26 zenon_H396 zenon_H29 zenon_H53b. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ef | zenon_intro zenon_H229 ]. % 65.99/66.13 apply (zenon_L214_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H22a ]. % 65.99/66.13 apply (zenon_L215_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1fb | zenon_intro zenon_H220 ]. % 65.99/66.13 apply (zenon_L216_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H23e | zenon_intro zenon_H2a2 ]. % 65.99/66.13 apply (zenon_L277_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a3 ]. % 65.99/66.13 apply (zenon_L355_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H1fb | zenon_intro zenon_H29f ]. % 65.99/66.13 apply (zenon_L216_); trivial. % 65.99/66.13 apply (zenon_L963_); trivial. % 65.99/66.13 (* end of lemma zenon_L982_ *) % 65.99/66.13 assert (zenon_L983_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e20)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.99/66.13 do 0 intro. intros zenon_H2e8 zenon_H53b zenon_H29 zenon_H396 zenon_H26 zenon_H491 zenon_H4a2 zenon_H92 zenon_H1fa zenon_H293 zenon_H2df zenon_H284 zenon_H270 zenon_H21e zenon_H285 zenon_H2a1 zenon_H1f4 zenon_H1ed zenon_H227 zenon_H249 zenon_H2f8 zenon_H35a zenon_H2f7 zenon_H2e4 zenon_H1ee zenon_H1eb. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H236 | zenon_intro zenon_H2e9 ]. % 65.99/66.13 apply (zenon_L982_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H20d | zenon_intro zenon_H2ea ]. % 65.99/66.13 apply (zenon_L293_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H29b | zenon_intro zenon_H2e5 ]. % 65.99/66.13 apply (zenon_L355_); trivial. % 65.99/66.13 apply (zenon_L283_); trivial. % 65.99/66.13 (* end of lemma zenon_L983_ *) % 65.99/66.13 assert (zenon_L984_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op2 (e23) (e22)) = (e20)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.99/66.13 do 0 intro. intros zenon_H354 zenon_H252 zenon_H251 zenon_H2ef zenon_H202 zenon_H20c zenon_H25a zenon_H1eb zenon_H1ee zenon_H2e4 zenon_H2f7 zenon_H35a zenon_H249 zenon_H227 zenon_H1ed zenon_H1f4 zenon_H2a1 zenon_H285 zenon_H21e zenon_H270 zenon_H284 zenon_H2df zenon_H293 zenon_H1fa zenon_H92 zenon_H4a2 zenon_H491 zenon_H26 zenon_H396 zenon_H29 zenon_H53b zenon_H2e8 zenon_H2fa zenon_H219. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H282 | zenon_intro zenon_H356 ]. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H236 | zenon_intro zenon_H2e9 ]. % 65.99/66.13 apply (zenon_L981_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H20d | zenon_intro zenon_H2ea ]. % 65.99/66.13 apply (zenon_L282_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H29b | zenon_intro zenon_H2e5 ]. % 65.99/66.13 apply (zenon_L331_); trivial. % 65.99/66.13 apply (zenon_L283_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H356); [ zenon_intro zenon_H260 | zenon_intro zenon_H357 ]. % 65.99/66.13 apply (zenon_L289_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H2fb ]. % 65.99/66.13 apply (zenon_L983_); trivial. % 65.99/66.13 apply (zenon_L295_); trivial. % 65.99/66.13 (* end of lemma zenon_L984_ *) % 65.99/66.13 assert (zenon_L985_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e20)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.99/66.13 do 0 intro. intros zenon_H2b3 zenon_H29a zenon_H299 zenon_H2b4 zenon_H27d zenon_H29e zenon_H219 zenon_H2fa zenon_H2e8 zenon_H53b zenon_H29 zenon_H396 zenon_H26 zenon_H491 zenon_H4a2 zenon_H92 zenon_H2a1 zenon_H249 zenon_H35a zenon_H2f7 zenon_H2e4 zenon_H25a zenon_H20c zenon_H2ef zenon_H251 zenon_H252 zenon_H354 zenon_H285 zenon_H270 zenon_H284 zenon_H300 zenon_H293 zenon_H1fa zenon_H1f4 zenon_H1ed zenon_H227 zenon_H2df zenon_H2d8 zenon_H303 zenon_H21e zenon_H1ee zenon_H1eb. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.99/66.13 apply (zenon_L274_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.99/66.13 apply (zenon_L984_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.99/66.13 apply (zenon_L300_); trivial. % 65.99/66.13 apply (zenon_L231_); trivial. % 65.99/66.13 (* end of lemma zenon_L985_ *) % 65.99/66.13 assert (zenon_L986_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.99/66.13 do 0 intro. intros zenon_H1e5 zenon_H1eb zenon_H1ee zenon_H21e zenon_H303 zenon_H2d8 zenon_H2df zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1fa zenon_H293 zenon_H300 zenon_H284 zenon_H270 zenon_H285 zenon_H354 zenon_H252 zenon_H251 zenon_H2ef zenon_H20c zenon_H25a zenon_H2e4 zenon_H2f7 zenon_H35a zenon_H249 zenon_H2a1 zenon_H4a2 zenon_H491 zenon_H396 zenon_H29 zenon_H53b zenon_H2e8 zenon_H2fa zenon_H219 zenon_H29e zenon_H27d zenon_H2b4 zenon_H299 zenon_H29a zenon_H2b3 zenon_H19a zenon_Hd0 zenon_H19 zenon_H44d zenon_H119 zenon_H17a zenon_H1e2 zenon_H109 zenon_H26 zenon_H156. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.99/66.13 apply (zenon_L985_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.99/66.13 apply (zenon_L133_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.99/66.13 apply (zenon_L51_); trivial. % 65.99/66.13 apply (zenon_L660_); trivial. % 65.99/66.13 (* end of lemma zenon_L986_ *) % 65.99/66.13 assert (zenon_L987_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 65.99/66.13 do 0 intro. intros zenon_H1e5 zenon_H1eb zenon_H1ee zenon_H21e zenon_H303 zenon_H2d8 zenon_H2df zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1fa zenon_H293 zenon_H300 zenon_H284 zenon_H270 zenon_H285 zenon_H354 zenon_H252 zenon_H251 zenon_H2ef zenon_H20c zenon_H25a zenon_H2e4 zenon_H2f7 zenon_H35a zenon_H249 zenon_H2a1 zenon_H4a2 zenon_H491 zenon_H396 zenon_H29 zenon_H53b zenon_H2e8 zenon_H2fa zenon_H219 zenon_H29e zenon_H27d zenon_H2b4 zenon_H299 zenon_H29a zenon_H2b3 zenon_H19a zenon_Hd0 zenon_H19 zenon_H26 zenon_H1e2 zenon_He2 zenon_H109. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.99/66.13 apply (zenon_L985_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.99/66.13 apply (zenon_L133_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.99/66.13 apply (zenon_L51_); trivial. % 65.99/66.13 apply (zenon_L659_); trivial. % 65.99/66.13 (* end of lemma zenon_L987_ *) % 65.99/66.13 assert (zenon_L988_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e20)) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.99/66.13 do 0 intro. intros zenon_H2b3 zenon_H53b zenon_H29 zenon_H396 zenon_H26 zenon_H491 zenon_H4a2 zenon_H92 zenon_H1ff zenon_H293 zenon_H232 zenon_H2df zenon_H35a zenon_H2a1 zenon_H1f4 zenon_H1ed zenon_H227 zenon_H219 zenon_H27d zenon_H31d zenon_H2e4 zenon_H299 zenon_H252 zenon_H314 zenon_H25a zenon_H25b zenon_H20c zenon_H24e zenon_H249 zenon_H284 zenon_H285 zenon_H2af zenon_H21e zenon_H1ee zenon_H1eb. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.99/66.13 exact (zenon_H232 zenon_H22f). % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.99/66.13 apply (zenon_L976_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.99/66.13 apply (zenon_L309_); trivial. % 65.99/66.13 apply (zenon_L231_); trivial. % 65.99/66.13 (* end of lemma zenon_L988_ *) % 65.99/66.13 assert (zenon_L989_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.99/66.13 do 0 intro. intros zenon_H1e5 zenon_H1eb zenon_H1ee zenon_H21e zenon_H2af zenon_H285 zenon_H284 zenon_H249 zenon_H24e zenon_H20c zenon_H25b zenon_H25a zenon_H314 zenon_H252 zenon_H299 zenon_H2e4 zenon_H31d zenon_H27d zenon_H219 zenon_H227 zenon_H1ed zenon_H1f4 zenon_H2a1 zenon_H35a zenon_H2df zenon_H232 zenon_H293 zenon_H1ff zenon_H4a2 zenon_H491 zenon_H396 zenon_H29 zenon_H53b zenon_H2b3 zenon_H19a zenon_Hd0 zenon_H19 zenon_H44d zenon_H119 zenon_H17a zenon_H1e2 zenon_H109 zenon_H26 zenon_H156. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.99/66.13 apply (zenon_L988_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.99/66.13 apply (zenon_L133_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.99/66.13 apply (zenon_L51_); trivial. % 65.99/66.13 apply (zenon_L660_); trivial. % 65.99/66.13 (* end of lemma zenon_L989_ *) % 65.99/66.13 assert (zenon_L990_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 65.99/66.13 do 0 intro. intros zenon_H1e5 zenon_H1eb zenon_H1ee zenon_H21e zenon_H2af zenon_H285 zenon_H284 zenon_H249 zenon_H24e zenon_H20c zenon_H25b zenon_H25a zenon_H314 zenon_H252 zenon_H299 zenon_H2e4 zenon_H31d zenon_H27d zenon_H219 zenon_H227 zenon_H1ed zenon_H1f4 zenon_H2a1 zenon_H35a zenon_H2df zenon_H232 zenon_H293 zenon_H1ff zenon_H4a2 zenon_H491 zenon_H396 zenon_H29 zenon_H53b zenon_H2b3 zenon_H19a zenon_Hd0 zenon_H19 zenon_H26 zenon_H1e2 zenon_He2 zenon_H109. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.99/66.13 apply (zenon_L988_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.99/66.13 apply (zenon_L133_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.99/66.13 apply (zenon_L51_); trivial. % 65.99/66.13 apply (zenon_L659_); trivial. % 65.99/66.13 (* end of lemma zenon_L990_ *) % 65.99/66.13 assert (zenon_L991_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e20)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.99/66.13 do 0 intro. intros zenon_H2eb zenon_H53b zenon_H29 zenon_H396 zenon_H26 zenon_H491 zenon_H4a2 zenon_H92 zenon_H1fa zenon_H372 zenon_H2f7 zenon_H360 zenon_H367 zenon_H35a zenon_H2aa zenon_H364 zenon_H35d zenon_H27d zenon_H21e zenon_H2b4 zenon_H36e zenon_H303 zenon_H2d8 zenon_H2df zenon_H227 zenon_H1ed zenon_H1f4 zenon_H293 zenon_H300 zenon_H284 zenon_H270 zenon_H285 zenon_H2a1 zenon_H329 zenon_H212 zenon_H251 zenon_H320 zenon_H31d zenon_H1ee zenon_H2e4 zenon_H1eb zenon_H328 zenon_H252 zenon_H314 zenon_H219. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.99/66.13 exact (zenon_H270 zenon_H289). % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.99/66.13 apply (zenon_L225_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H21b | zenon_intro zenon_H32a ]. % 65.99/66.13 apply (zenon_L225_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H24f | zenon_intro zenon_H32b ]. % 65.99/66.13 exact (zenon_H251 zenon_H24f). % 65.99/66.13 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2be | zenon_intro zenon_H324 ]. % 65.99/66.13 apply (zenon_L311_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H23e | zenon_intro zenon_H2a2 ]. % 65.99/66.13 apply (zenon_L300_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a3 ]. % 65.99/66.13 apply (zenon_L356_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H1fb | zenon_intro zenon_H29f ]. % 65.99/66.13 apply (zenon_L216_); trivial. % 65.99/66.13 apply (zenon_L963_); trivial. % 65.99/66.13 apply (zenon_L315_); trivial. % 65.99/66.13 (* end of lemma zenon_L991_ *) % 65.99/66.13 assert (zenon_L992_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.99/66.13 do 0 intro. intros zenon_H1e5 zenon_H219 zenon_H314 zenon_H252 zenon_H328 zenon_H1eb zenon_H2e4 zenon_H1ee zenon_H31d zenon_H320 zenon_H251 zenon_H212 zenon_H329 zenon_H2a1 zenon_H285 zenon_H270 zenon_H284 zenon_H300 zenon_H293 zenon_H1f4 zenon_H1ed zenon_H227 zenon_H2df zenon_H2d8 zenon_H303 zenon_H36e zenon_H2b4 zenon_H21e zenon_H27d zenon_H35d zenon_H364 zenon_H2aa zenon_H35a zenon_H367 zenon_H360 zenon_H2f7 zenon_H372 zenon_H1fa zenon_H4a2 zenon_H491 zenon_H396 zenon_H29 zenon_H53b zenon_H2eb zenon_H19a zenon_Hd0 zenon_H19 zenon_H44d zenon_H119 zenon_H17a zenon_H1e2 zenon_H109 zenon_H26 zenon_H156. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.99/66.13 apply (zenon_L991_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.99/66.13 apply (zenon_L133_); trivial. % 65.99/66.13 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.99/66.13 apply (zenon_L51_); trivial. % 65.99/66.13 apply (zenon_L660_); trivial. % 65.99/66.13 (* end of lemma zenon_L992_ *) % 65.99/66.13 assert (zenon_L993_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (op1 (e11) (e13))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 65.99/66.14 do 0 intro. intros zenon_H1e5 zenon_H219 zenon_H314 zenon_H252 zenon_H328 zenon_H1eb zenon_H2e4 zenon_H1ee zenon_H31d zenon_H320 zenon_H251 zenon_H212 zenon_H329 zenon_H2a1 zenon_H285 zenon_H270 zenon_H284 zenon_H300 zenon_H293 zenon_H1f4 zenon_H1ed zenon_H227 zenon_H2df zenon_H2d8 zenon_H303 zenon_H36e zenon_H2b4 zenon_H21e zenon_H27d zenon_H35d zenon_H364 zenon_H2aa zenon_H35a zenon_H367 zenon_H360 zenon_H2f7 zenon_H372 zenon_H1fa zenon_H4a2 zenon_H491 zenon_H396 zenon_H29 zenon_H53b zenon_H2eb zenon_H19a zenon_Hd0 zenon_H19 zenon_H26 zenon_H1e2 zenon_He2 zenon_H109. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.99/66.14 apply (zenon_L991_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.99/66.14 apply (zenon_L133_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.99/66.14 apply (zenon_L51_); trivial. % 65.99/66.14 apply (zenon_L659_); trivial. % 65.99/66.14 (* end of lemma zenon_L993_ *) % 65.99/66.14 assert (zenon_L994_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (e13)) = (e13)) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.99/66.14 do 0 intro. intros zenon_H2b3 zenon_H53b zenon_H29 zenon_H396 zenon_H26 zenon_H491 zenon_H4a2 zenon_H92 zenon_H293 zenon_H232 zenon_H2df zenon_H35a zenon_H299 zenon_H2a1 zenon_H2a4 zenon_H30f zenon_H2af zenon_H285 zenon_H284 zenon_H249 zenon_H252 zenon_H24e zenon_H20c zenon_H25b zenon_H25a zenon_H2aa zenon_H27d zenon_H219 zenon_H212 zenon_H329 zenon_H227 zenon_H1f4 zenon_H1ff zenon_H347 zenon_H348 zenon_H320 zenon_H342 zenon_H1ed zenon_H343 zenon_H2eb zenon_H21e zenon_H1ee zenon_H1eb. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.99/66.14 exact (zenon_H232 zenon_H22f). % 65.99/66.14 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.99/66.14 apply (zenon_L976_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.99/66.14 apply (zenon_L323_); trivial. % 65.99/66.14 apply (zenon_L231_); trivial. % 65.99/66.14 (* end of lemma zenon_L994_ *) % 65.99/66.14 assert (zenon_L995_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e13)) = (e13)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.99/66.14 do 0 intro. intros zenon_H1e5 zenon_H1eb zenon_H1ee zenon_H21e zenon_H2eb zenon_H343 zenon_H1ed zenon_H342 zenon_H320 zenon_H348 zenon_H347 zenon_H1ff zenon_H1f4 zenon_H227 zenon_H329 zenon_H212 zenon_H219 zenon_H27d zenon_H2aa zenon_H25a zenon_H25b zenon_H20c zenon_H24e zenon_H252 zenon_H249 zenon_H284 zenon_H285 zenon_H2af zenon_H30f zenon_H2a4 zenon_H2a1 zenon_H299 zenon_H35a zenon_H2df zenon_H232 zenon_H293 zenon_H4a2 zenon_H491 zenon_H396 zenon_H29 zenon_H53b zenon_H2b3 zenon_H19a zenon_Hd0 zenon_H19 zenon_H44d zenon_H119 zenon_H17a zenon_H1e2 zenon_H109 zenon_H26 zenon_H156. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.99/66.14 apply (zenon_L994_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.99/66.14 apply (zenon_L133_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.99/66.14 apply (zenon_L51_); trivial. % 65.99/66.14 apply (zenon_L660_); trivial. % 65.99/66.14 (* end of lemma zenon_L995_ *) % 65.99/66.14 assert (zenon_L996_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e13)) = (e13)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 65.99/66.14 do 0 intro. intros zenon_H1e5 zenon_H1eb zenon_H1ee zenon_H21e zenon_H2eb zenon_H343 zenon_H1ed zenon_H342 zenon_H320 zenon_H348 zenon_H347 zenon_H1ff zenon_H1f4 zenon_H227 zenon_H329 zenon_H212 zenon_H219 zenon_H27d zenon_H2aa zenon_H25a zenon_H25b zenon_H20c zenon_H24e zenon_H252 zenon_H249 zenon_H284 zenon_H285 zenon_H2af zenon_H30f zenon_H2a4 zenon_H2a1 zenon_H299 zenon_H35a zenon_H2df zenon_H232 zenon_H293 zenon_H4a2 zenon_H491 zenon_H396 zenon_H29 zenon_H53b zenon_H2b3 zenon_H19a zenon_Hd0 zenon_H19 zenon_H26 zenon_H1e2 zenon_He2 zenon_H109. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.99/66.14 apply (zenon_L994_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.99/66.14 apply (zenon_L133_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.99/66.14 apply (zenon_L51_); trivial. % 65.99/66.14 apply (zenon_L659_); trivial. % 65.99/66.14 (* end of lemma zenon_L996_ *) % 65.99/66.14 assert (zenon_L997_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.99/66.14 do 0 intro. intros zenon_H364 zenon_H2aa zenon_H2a9 zenon_H26e zenon_H367 zenon_H2bf zenon_H35a zenon_H35d zenon_H360 zenon_H219. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H365 ]. % 65.99/66.14 apply (zenon_L260_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H266 | zenon_intro zenon_H366 ]. % 65.99/66.14 apply (zenon_L352_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H35e | zenon_intro zenon_H361 ]. % 65.99/66.14 apply (zenon_L363_); trivial. % 65.99/66.14 apply (zenon_L343_); trivial. % 65.99/66.14 (* end of lemma zenon_L997_ *) % 65.99/66.14 assert (zenon_L998_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False). % 65.99/66.14 do 0 intro. intros zenon_H372 zenon_H29b zenon_H2f7 zenon_H360 zenon_H367 zenon_H2a9 zenon_H2aa zenon_H364 zenon_H2bf zenon_H35a zenon_H35d zenon_H36e zenon_H219. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H373 ]. % 65.99/66.14 apply (zenon_L355_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H26e | zenon_intro zenon_H374 ]. % 65.99/66.14 apply (zenon_L997_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H35e | zenon_intro zenon_H36f ]. % 65.99/66.14 apply (zenon_L363_); trivial. % 65.99/66.14 apply (zenon_L354_); trivial. % 65.99/66.14 (* end of lemma zenon_L998_ *) % 65.99/66.14 assert (zenon_L999_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> ((op1 (e11) (e12)) = (e12)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op2 (e23) (e22)) = (e20)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> False). % 65.99/66.14 do 0 intro. intros zenon_H2a1 zenon_H22f zenon_H285 zenon_H2d8 zenon_H219 zenon_H36e zenon_H35d zenon_H35a zenon_H2bf zenon_H364 zenon_H2aa zenon_H2a9 zenon_H367 zenon_H360 zenon_H2f7 zenon_H372 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H92 zenon_H4a2 zenon_H491 zenon_H26 zenon_H396 zenon_H29 zenon_H53b. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H23e | zenon_intro zenon_H2a2 ]. % 65.99/66.14 apply (zenon_L271_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a3 ]. % 65.99/66.14 apply (zenon_L998_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H1fb | zenon_intro zenon_H29f ]. % 65.99/66.14 apply (zenon_L216_); trivial. % 65.99/66.14 apply (zenon_L963_); trivial. % 65.99/66.14 (* end of lemma zenon_L999_ *) % 65.99/66.14 assert (zenon_L1000_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e20)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> False). % 65.99/66.14 do 0 intro. intros zenon_H2b3 zenon_H33e zenon_H343 zenon_H382 zenon_H372 zenon_H360 zenon_H367 zenon_H2aa zenon_H364 zenon_H35d zenon_H36e zenon_H212 zenon_H2eb zenon_H219 zenon_H2fa zenon_H2e8 zenon_H53b zenon_H29 zenon_H396 zenon_H26 zenon_H491 zenon_H4a2 zenon_H92 zenon_H2a1 zenon_H249 zenon_H35a zenon_H2f7 zenon_H2e4 zenon_H25a zenon_H20c zenon_H2ef zenon_H251 zenon_H252 zenon_H354 zenon_H285 zenon_H270 zenon_H284 zenon_H300 zenon_H293 zenon_H1fa zenon_H1f4 zenon_H1ed zenon_H227 zenon_H2df zenon_H2d8 zenon_H303 zenon_H21e zenon_H1ee zenon_H1eb. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H22f | zenon_intro zenon_H2b8 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.99/66.14 exact (zenon_H270 zenon_H289). % 65.99/66.14 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.99/66.14 apply (zenon_L225_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H375 | zenon_intro zenon_H383 ]. % 65.99/66.14 apply (zenon_L362_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H24f | zenon_intro zenon_H384 ]. % 65.99/66.14 exact (zenon_H251 zenon_H24f). % 65.99/66.14 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H2bf | zenon_intro zenon_H312 ]. % 65.99/66.14 apply (zenon_L999_); trivial. % 65.99/66.14 apply (zenon_L376_); trivial. % 65.99/66.14 apply (zenon_L325_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H202 | zenon_intro zenon_H2b9 ]. % 65.99/66.14 apply (zenon_L984_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H23e | zenon_intro zenon_H240 ]. % 65.99/66.14 apply (zenon_L300_); trivial. % 65.99/66.14 apply (zenon_L231_); trivial. % 65.99/66.14 (* end of lemma zenon_L1000_ *) % 65.99/66.14 assert (zenon_L1001_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> ((op1 (e12) (e13)) = (e13)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.99/66.14 do 0 intro. intros zenon_H1e5 zenon_H1eb zenon_H1ee zenon_H21e zenon_H303 zenon_H2d8 zenon_H2df zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1fa zenon_H293 zenon_H300 zenon_H284 zenon_H270 zenon_H285 zenon_H354 zenon_H252 zenon_H251 zenon_H2ef zenon_H20c zenon_H25a zenon_H2e4 zenon_H2f7 zenon_H35a zenon_H249 zenon_H2a1 zenon_H4a2 zenon_H491 zenon_H396 zenon_H29 zenon_H53b zenon_H2e8 zenon_H2fa zenon_H219 zenon_H2eb zenon_H212 zenon_H36e zenon_H35d zenon_H364 zenon_H2aa zenon_H367 zenon_H360 zenon_H372 zenon_H382 zenon_H343 zenon_H33e zenon_H2b3 zenon_H19a zenon_Hd0 zenon_H19 zenon_H44d zenon_H119 zenon_H17a zenon_H1e2 zenon_H109 zenon_H26 zenon_H156. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.99/66.14 apply (zenon_L1000_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.99/66.14 apply (zenon_L133_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.99/66.14 apply (zenon_L51_); trivial. % 65.99/66.14 apply (zenon_L660_); trivial. % 65.99/66.14 (* end of lemma zenon_L1001_ *) % 65.99/66.14 assert (zenon_L1002_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e11)) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e12) (op1 (e12) (e13))) = (e12)) -> ((op1 (e12) (e13)) = (e13)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 65.99/66.14 do 0 intro. intros zenon_H1e5 zenon_H1eb zenon_H1ee zenon_H21e zenon_H303 zenon_H2d8 zenon_H2df zenon_H227 zenon_H1ed zenon_H1f4 zenon_H1fa zenon_H293 zenon_H300 zenon_H284 zenon_H270 zenon_H285 zenon_H354 zenon_H252 zenon_H251 zenon_H2ef zenon_H20c zenon_H25a zenon_H2e4 zenon_H2f7 zenon_H35a zenon_H249 zenon_H2a1 zenon_H4a2 zenon_H491 zenon_H396 zenon_H29 zenon_H53b zenon_H2e8 zenon_H2fa zenon_H219 zenon_H2eb zenon_H212 zenon_H36e zenon_H35d zenon_H364 zenon_H2aa zenon_H367 zenon_H360 zenon_H372 zenon_H382 zenon_H343 zenon_H33e zenon_H2b3 zenon_H19a zenon_Hd0 zenon_H19 zenon_H26 zenon_H1e2 zenon_He2 zenon_H109. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.99/66.14 apply (zenon_L1000_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.99/66.14 apply (zenon_L133_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.99/66.14 apply (zenon_L51_); trivial. % 65.99/66.14 apply (zenon_L659_); trivial. % 65.99/66.14 (* end of lemma zenon_L1002_ *) % 65.99/66.14 assert (zenon_L1003_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op2 (e23) (e22)) = (e20)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> False). % 65.99/66.14 do 0 intro. intros zenon_H303 zenon_H2d8 zenon_H29e zenon_H27d zenon_H2b4 zenon_H2df zenon_H2eb zenon_H219 zenon_H360 zenon_H320 zenon_H386 zenon_H25a zenon_H265 zenon_H26b zenon_H251 zenon_H252 zenon_H249 zenon_H2aa zenon_H364 zenon_H212 zenon_H329 zenon_H227 zenon_H1ed zenon_H1f4 zenon_H2a1 zenon_H285 zenon_H21e zenon_H270 zenon_H284 zenon_H300 zenon_H293 zenon_H29a zenon_H299 zenon_H1eb zenon_H1ee zenon_H1fa zenon_H92 zenon_H4a2 zenon_H491 zenon_H26 zenon_H396 zenon_H29 zenon_H53b. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H22f | zenon_intro zenon_H304 ]. % 65.99/66.14 apply (zenon_L382_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H236 | zenon_intro zenon_H305 ]. % 65.99/66.14 apply (zenon_L383_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H1ef | zenon_intro zenon_H301 ]. % 65.99/66.14 apply (zenon_L214_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H289 | zenon_intro zenon_H2ec ]. % 65.99/66.14 exact (zenon_H270 zenon_H289). % 65.99/66.14 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ed ]. % 65.99/66.14 apply (zenon_L225_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H297 ]. % 65.99/66.14 apply (zenon_L380_); trivial. % 65.99/66.14 apply (zenon_L971_); trivial. % 65.99/66.14 (* end of lemma zenon_L1003_ *) % 65.99/66.14 assert (zenon_L1004_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.99/66.14 do 0 intro. intros zenon_H1e5 zenon_H53b zenon_H29 zenon_H396 zenon_H491 zenon_H4a2 zenon_H1fa zenon_H1ee zenon_H1eb zenon_H299 zenon_H29a zenon_H293 zenon_H300 zenon_H284 zenon_H270 zenon_H21e zenon_H285 zenon_H2a1 zenon_H1f4 zenon_H1ed zenon_H227 zenon_H329 zenon_H212 zenon_H364 zenon_H2aa zenon_H249 zenon_H252 zenon_H251 zenon_H26b zenon_H265 zenon_H25a zenon_H386 zenon_H320 zenon_H360 zenon_H219 zenon_H2eb zenon_H2df zenon_H2b4 zenon_H27d zenon_H29e zenon_H2d8 zenon_H303 zenon_H19a zenon_Hd0 zenon_H19 zenon_H44d zenon_H119 zenon_H17a zenon_H1e2 zenon_H109 zenon_H26 zenon_H156. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.99/66.14 apply (zenon_L1003_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.99/66.14 apply (zenon_L133_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.99/66.14 apply (zenon_L51_); trivial. % 65.99/66.14 apply (zenon_L660_); trivial. % 65.99/66.14 (* end of lemma zenon_L1004_ *) % 65.99/66.14 assert (zenon_L1005_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e10)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 65.99/66.14 do 0 intro. intros zenon_H1e5 zenon_H53b zenon_H29 zenon_H396 zenon_H491 zenon_H4a2 zenon_H1fa zenon_H1ee zenon_H1eb zenon_H299 zenon_H29a zenon_H293 zenon_H300 zenon_H284 zenon_H270 zenon_H21e zenon_H285 zenon_H2a1 zenon_H1f4 zenon_H1ed zenon_H227 zenon_H329 zenon_H212 zenon_H364 zenon_H2aa zenon_H249 zenon_H252 zenon_H251 zenon_H26b zenon_H265 zenon_H25a zenon_H386 zenon_H320 zenon_H360 zenon_H219 zenon_H2eb zenon_H2df zenon_H2b4 zenon_H27d zenon_H29e zenon_H2d8 zenon_H303 zenon_H19a zenon_Hd0 zenon_H19 zenon_H26 zenon_H1e2 zenon_He2 zenon_H109. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.99/66.14 apply (zenon_L1003_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.99/66.14 apply (zenon_L133_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.99/66.14 apply (zenon_L51_); trivial. % 65.99/66.14 apply (zenon_L659_); trivial. % 65.99/66.14 (* end of lemma zenon_L1005_ *) % 65.99/66.14 assert (zenon_L1006_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 65.99/66.14 do 0 intro. intros zenon_H1e5 zenon_H252 zenon_H3a7 zenon_H1eb zenon_H219 zenon_H2c6 zenon_H360 zenon_H4a2 zenon_H491 zenon_H396 zenon_H29 zenon_H53b zenon_H3aa zenon_H3ea zenon_H27d zenon_H36e zenon_H2e4 zenon_H1ee zenon_H31d zenon_H19a zenon_Hd0 zenon_H19 zenon_H44d zenon_H119 zenon_H17a zenon_H1e2 zenon_H109 zenon_H26 zenon_H156. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.99/66.14 apply (zenon_L966_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.99/66.14 apply (zenon_L133_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.99/66.14 apply (zenon_L51_); trivial. % 65.99/66.14 apply (zenon_L660_); trivial. % 65.99/66.14 (* end of lemma zenon_L1006_ *) % 65.99/66.14 assert (zenon_L1007_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e13)) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 65.99/66.14 do 0 intro. intros zenon_H1e5 zenon_H252 zenon_H3a7 zenon_H1eb zenon_H219 zenon_H2c6 zenon_H360 zenon_H4a2 zenon_H491 zenon_H396 zenon_H29 zenon_H53b zenon_H3aa zenon_H3ea zenon_H27d zenon_H36e zenon_H2e4 zenon_H1ee zenon_H31d zenon_H19a zenon_Hd0 zenon_H19 zenon_H26 zenon_H1e2 zenon_He2 zenon_H109. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H92 | zenon_intro zenon_H1e6 ]. % 65.99/66.14 apply (zenon_L966_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H19b | zenon_intro zenon_H1e7 ]. % 65.99/66.14 apply (zenon_L133_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_He5 ]. % 65.99/66.14 apply (zenon_L51_); trivial. % 65.99/66.14 apply (zenon_L659_); trivial. % 65.99/66.14 (* end of lemma zenon_L1007_ *) % 65.99/66.14 assert (zenon_L1008_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))\/(((op1 (e11) (op1 (e11) (e10))) = (e11))\/(((op1 (e12) (op1 (e12) (e10))) = (e12))\/((op1 (e13) (op1 (e13) (e10))) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (op1 (e10) (e12))) = (e10))\/(((op1 (e11) (op1 (e11) (e12))) = (e11))\/(((op1 (e12) (op1 (e12) (e12))) = (e12))\/((op1 (e13) (op1 (e13) (e12))) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (op1 (e10) (e11))) = (e10))\/(((op1 (e11) (op1 (e11) (e11))) = (e11))\/(((op1 (e12) (op1 (e12) (e11))) = (e12))\/((op1 (e13) (op1 (e13) (e11))) = (e13))))) -> (~((e12) = (e13))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.99/66.14 do 0 intro. intros zenon_H48d zenon_H2a1 zenon_H2eb zenon_H2b3 zenon_H3c1 zenon_H293 zenon_H284 zenon_H329 zenon_H37f zenon_H2df zenon_H300 zenon_H2af zenon_H3f0 zenon_H3d0 zenon_H382 zenon_H354 zenon_H328 zenon_H369 zenon_H348 zenon_H2aa zenon_H303 zenon_H2d8 zenon_H161 zenon_Haa zenon_H17a zenon_H119 zenon_H44d zenon_H1e5 zenon_H4a2 zenon_H491 zenon_H396 zenon_H29 zenon_H53b zenon_H3aa zenon_H19a zenon_Hd0 zenon_H19 zenon_H26 zenon_H1e2 zenon_H109 zenon_H3c7 zenon_H3c4 zenon_H29e zenon_H3cd zenon_H2ef zenon_H3d1 zenon_H364 zenon_H299 zenon_H360 zenon_H2e8 zenon_H372 zenon_H26b zenon_H2f7 zenon_H367 zenon_H265 zenon_H401 zenon_H2f4 zenon_H3ef zenon_H3b4 zenon_H24e zenon_H25a zenon_H228 zenon_H20c zenon_H204 zenon_H215 zenon_H212 zenon_H404 zenon_H30f zenon_H32c zenon_H3e3 zenon_H392 zenon_H414 zenon_H2c6 zenon_H1ed zenon_H320 zenon_H342 zenon_H347 zenon_H1fa zenon_H1f4 zenon_H227 zenon_H2e4 zenon_H31d zenon_H35d zenon_H40d zenon_H353 zenon_H36e zenon_H252 zenon_H3b8 zenon_H3ea zenon_H27d zenon_H3db zenon_H38a zenon_H2fa zenon_H3cb zenon_H3d6 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H1eb zenon_H219 zenon_H272. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.99/66.14 apply (zenon_L227_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.14 apply (zenon_L228_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.14 apply (zenon_L229_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.14 apply (zenon_L230_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.14 apply (zenon_L232_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.14 apply (zenon_L239_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.14 apply (zenon_L240_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.14 apply (zenon_L245_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.14 apply (zenon_L247_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.14 apply (zenon_L303_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.14 apply (zenon_L263_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.14 apply (zenon_L264_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.14 apply (zenon_L266_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.14 apply (zenon_L268_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.14 apply (zenon_L269_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hab | zenon_intro zenon_H162 ]. % 65.99/66.14 apply (zenon_L39_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H163 ]. % 65.99/66.14 apply (zenon_L100_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H156 | zenon_intro zenon_He2 ]. % 65.99/66.14 apply (zenon_L974_); trivial. % 65.99/66.14 apply (zenon_L975_); trivial. % 65.99/66.14 apply (zenon_L301_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.99/66.14 apply (zenon_L316_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.99/66.14 apply (zenon_L327_); trivial. % 65.99/66.14 apply (zenon_L328_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.14 apply (zenon_L228_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.14 apply (zenon_L229_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.14 apply (zenon_L230_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.14 apply (zenon_L232_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.14 apply (zenon_L239_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.14 apply (zenon_L240_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.14 apply (zenon_L245_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.14 apply (zenon_L247_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.14 apply (zenon_L980_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.14 apply (zenon_L263_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.14 apply (zenon_L264_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.14 apply (zenon_L266_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.14 apply (zenon_L268_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.14 apply (zenon_L269_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hab | zenon_intro zenon_H162 ]. % 65.99/66.14 apply (zenon_L39_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H163 ]. % 65.99/66.14 apply (zenon_L100_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H156 | zenon_intro zenon_He2 ]. % 65.99/66.14 apply (zenon_L986_); trivial. % 65.99/66.14 apply (zenon_L987_); trivial. % 65.99/66.14 apply (zenon_L301_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.14 apply (zenon_L228_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.14 apply (zenon_L229_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.14 apply (zenon_L230_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.14 apply (zenon_L232_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.14 apply (zenon_L239_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.14 apply (zenon_L240_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.14 apply (zenon_L245_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.14 apply (zenon_L247_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.14 apply (zenon_L980_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.14 apply (zenon_L263_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.14 apply (zenon_L264_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.14 apply (zenon_L266_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hab | zenon_intro zenon_H162 ]. % 65.99/66.14 apply (zenon_L39_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H163 ]. % 65.99/66.14 apply (zenon_L100_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H156 | zenon_intro zenon_He2 ]. % 65.99/66.14 apply (zenon_L989_); trivial. % 65.99/66.14 apply (zenon_L990_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.14 apply (zenon_L269_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hab | zenon_intro zenon_H162 ]. % 65.99/66.14 apply (zenon_L39_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H163 ]. % 65.99/66.14 apply (zenon_L100_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H156 | zenon_intro zenon_He2 ]. % 65.99/66.14 apply (zenon_L992_); trivial. % 65.99/66.14 apply (zenon_L993_); trivial. % 65.99/66.14 apply (zenon_L301_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.14 apply (zenon_L228_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.14 apply (zenon_L229_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.14 apply (zenon_L230_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.14 apply (zenon_L232_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.14 apply (zenon_L239_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.14 apply (zenon_L240_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.14 apply (zenon_L245_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.14 apply (zenon_L247_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.14 apply (zenon_L980_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.14 apply (zenon_L263_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.14 apply (zenon_L264_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.14 apply (zenon_L266_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hab | zenon_intro zenon_H162 ]. % 65.99/66.14 apply (zenon_L39_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H163 ]. % 65.99/66.14 apply (zenon_L100_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H156 | zenon_intro zenon_He2 ]. % 65.99/66.14 apply (zenon_L995_); trivial. % 65.99/66.14 apply (zenon_L996_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.14 apply (zenon_L269_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hab | zenon_intro zenon_H162 ]. % 65.99/66.14 apply (zenon_L39_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H163 ]. % 65.99/66.14 apply (zenon_L100_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H156 | zenon_intro zenon_He2 ]. % 65.99/66.14 apply (zenon_L1001_); trivial. % 65.99/66.14 apply (zenon_L1002_); trivial. % 65.99/66.14 apply (zenon_L301_); trivial. % 65.99/66.14 apply (zenon_L328_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.14 apply (zenon_L228_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.14 apply (zenon_L229_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.14 apply (zenon_L230_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.14 apply (zenon_L232_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.14 apply (zenon_L239_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.14 apply (zenon_L240_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.14 apply (zenon_L245_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.14 apply (zenon_L247_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.14 apply (zenon_L391_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.14 apply (zenon_L263_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.14 apply (zenon_L264_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.14 apply (zenon_L266_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.14 apply (zenon_L268_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.14 apply (zenon_L269_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H23f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H270. zenon_intro zenon_H26f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H251. zenon_intro zenon_H271. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hab | zenon_intro zenon_H162 ]. % 65.99/66.14 apply (zenon_L39_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H163 ]. % 65.99/66.14 apply (zenon_L100_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H156 | zenon_intro zenon_He2 ]. % 65.99/66.14 apply (zenon_L1004_); trivial. % 65.99/66.14 apply (zenon_L1005_); trivial. % 65.99/66.14 apply (zenon_L301_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.99/66.14 apply (zenon_L392_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.99/66.14 apply (zenon_L393_); trivial. % 65.99/66.14 apply (zenon_L328_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hab | zenon_intro zenon_H162 ]. % 65.99/66.14 apply (zenon_L39_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H163 ]. % 65.99/66.14 apply (zenon_L100_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H156 | zenon_intro zenon_He2 ]. % 65.99/66.14 apply (zenon_L1006_); trivial. % 65.99/66.14 apply (zenon_L1007_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.99/66.14 apply (zenon_L415_); trivial. % 65.99/66.14 apply (zenon_L485_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.99/66.14 apply (zenon_L529_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.99/66.14 apply (zenon_L559_); trivial. % 65.99/66.14 apply (zenon_L587_); trivial. % 65.99/66.14 (* end of lemma zenon_L1008_ *) % 65.99/66.14 assert (zenon_L1009_ : (((op2 (e20) (op2 (e20) (e22))) = (e20))\/(((op2 (e21) (op2 (e21) (e22))) = (e21))\/(((op2 (e22) (op2 (e22) (e22))) = (e22))\/((op2 (e23) (op2 (e23) (e22))) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e22) = (e23))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e20)))/\((~((op2 (e21) (e21)) = (e20)))/\((~((op2 (e22) (e22)) = (e20)))/\(~((op2 (e23) (e23)) = (e20))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e21)))/\((~((op2 (e21) (e21)) = (e21)))/\((~((op2 (e22) (e22)) = (e21)))/\(~((op2 (e23) (e23)) = (e21))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e22)))/\((~((op2 (e21) (e21)) = (e22)))/\((~((op2 (e22) (e22)) = (e22)))/\(~((op2 (e23) (e23)) = (e22))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e20) (e20)) = (e23)))/\((~((op2 (e21) (e21)) = (e23)))/\((~((op2 (e22) (e22)) = (e23)))/\(~((op2 (e23) (e23)) = (e23))))))))))))))))))))))) -> ((op2 (e21) (op2 (e21) (e20))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((op2 (e22) (op2 (e22) (e21))) = (e22)) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (op2 (e20) (e23))) = (e20))\/(((op2 (e21) (op2 (e21) (e23))) = (e21))\/(((op2 (e22) (op2 (e22) (e23))) = (e22))\/((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (((op1 (e10) (op1 (e10) (e10))) = (e10))\/(((op1 (e11) (op1 (e11) (e10))) = (e11))\/(((op1 (e12) (op1 (e12) (e10))) = (e12))\/((op1 (e13) (op1 (e13) (e10))) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (op1 (e10) (e12))) = (e10))\/(((op1 (e11) (op1 (e11) (e12))) = (e11))\/(((op1 (e12) (op1 (e12) (e12))) = (e12))\/((op1 (e13) (op1 (e13) (e12))) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (op1 (e10) (e11))) = (e10))\/(((op1 (e11) (op1 (e11) (e11))) = (e11))\/(((op1 (e12) (op1 (e12) (e11))) = (e12))\/((op1 (e13) (op1 (e13) (e11))) = (e13))))) -> (~((e12) = (e13))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e10)))/\((~((op1 (e11) (e11)) = (e10)))/\((~((op1 (e12) (e12)) = (e10)))/\(~((op1 (e13) (e13)) = (e10))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e11)))/\((~((op1 (e11) (e11)) = (e11)))/\((~((op1 (e12) (e12)) = (e11)))/\(~((op1 (e13) (e13)) = (e11))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e12)))/\((~((op1 (e11) (e11)) = (e12)))/\((~((op1 (e12) (e12)) = (e12)))/\(~((op1 (e13) (e13)) = (e12))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e10) (e10)) = (e13)))/\((~((op1 (e11) (e11)) = (e13)))/\((~((op1 (e12) (e12)) = (e13)))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (op1 (e10) (e13))) = (e10))\/(((op1 (e11) (op1 (e11) (e13))) = (e11))\/(((op1 (e12) (op1 (e12) (e13))) = (e12))\/((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 65.99/66.14 do 0 intro. intros zenon_H455 zenon_H176 zenon_H171 zenon_H17e zenon_H85 zenon_Hb0 zenon_H3e zenon_H189 zenon_Hd9 zenon_H181 zenon_H79 zenon_H193 zenon_Hf0 zenon_H459 zenon_H103 zenon_H113 zenon_H461 zenon_H1a9 zenon_H1dd zenon_H1d6 zenon_Hba zenon_H164 zenon_H33 zenon_H1af zenon_H4a zenon_H44 zenon_H28 zenon_H6e zenon_H9c zenon_H56 zenon_H107 zenon_H8a zenon_H131 zenon_H14c zenon_H182 zenon_H96 zenon_H194 zenon_H41d zenon_H424 zenon_H12b zenon_H1b8 zenon_H48d zenon_H2a1 zenon_H2eb zenon_H2b3 zenon_H3c1 zenon_H293 zenon_H284 zenon_H329 zenon_H37f zenon_H2df zenon_H300 zenon_H2af zenon_H3f0 zenon_H3d0 zenon_H382 zenon_H354 zenon_H328 zenon_H369 zenon_H348 zenon_H2aa zenon_H303 zenon_H2d8 zenon_H161 zenon_Haa zenon_H17a zenon_H119 zenon_H44d zenon_H1e5 zenon_H4a2 zenon_H491 zenon_H396 zenon_H29 zenon_H53b zenon_H3aa zenon_H19a zenon_Hd0 zenon_H19 zenon_H26 zenon_H109 zenon_H3c7 zenon_H3c4 zenon_H29e zenon_H3cd zenon_H2ef zenon_H3d1 zenon_H364 zenon_H299 zenon_H360 zenon_H2e8 zenon_H372 zenon_H26b zenon_H2f7 zenon_H367 zenon_H265 zenon_H401 zenon_H2f4 zenon_H3ef zenon_H3b4 zenon_H24e zenon_H25a zenon_H228 zenon_H20c zenon_H204 zenon_H215 zenon_H212 zenon_H404 zenon_H30f zenon_H32c zenon_H3e3 zenon_H392 zenon_H414 zenon_H2c6 zenon_H1ed zenon_H320 zenon_H342 zenon_H347 zenon_H1fa zenon_H1f4 zenon_H227 zenon_H2e4 zenon_H31d zenon_H35d zenon_H40d zenon_H353 zenon_H36e zenon_H252 zenon_H3b8 zenon_H3ea zenon_H27d zenon_H3db zenon_H38a zenon_H2fa zenon_H3cb zenon_H3d6 zenon_H2b4 zenon_H1ee zenon_H21e zenon_H1eb zenon_H219 zenon_H272. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H455); [ zenon_intro zenon_H191 | zenon_intro zenon_H456 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.99/66.14 apply (zenon_L593_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.99/66.14 apply (zenon_L596_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.99/66.14 apply (zenon_L1_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.99/66.14 apply (zenon_L2_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.99/66.14 apply (zenon_L6_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.99/66.14 apply (zenon_L8_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.99/66.14 apply (zenon_L675_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.99/66.14 apply (zenon_L27_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.99/66.14 apply (zenon_L704_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.99/66.14 apply (zenon_L47_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.99/66.14 apply (zenon_L683_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.99/66.14 apply (zenon_L49_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.99/66.14 apply (zenon_L50_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.99/66.14 apply (zenon_L52_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.99/66.14 apply (zenon_L602_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.99/66.14 apply (zenon_L56_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.99/66.14 apply (zenon_L162_); trivial. % 65.99/66.14 apply (zenon_L58_); trivial. % 65.99/66.14 apply (zenon_L163_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H456); [ zenon_intro zenon_H1bc | zenon_intro zenon_H457 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.99/66.14 apply (zenon_L593_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.99/66.14 apply (zenon_L596_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.99/66.14 apply (zenon_L767_); trivial. % 65.99/66.14 apply (zenon_L163_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H457); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1e2 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.99/66.14 apply (zenon_L593_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.99/66.14 apply (zenon_L596_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.99/66.14 apply (zenon_L728_); trivial. % 65.99/66.14 apply (zenon_L163_); trivial. % 65.99/66.14 apply (zenon_L1008_); trivial. % 65.99/66.14 (* end of lemma zenon_L1009_ *) % 65.99/66.14 assert (zenon_L1010_ : (~((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e11) = (op1 (e13) (e13))) -> ((h4 (e13)) = (e23)) -> False). % 65.99/66.14 do 0 intro. intros zenon_H541 zenon_H39a zenon_H219 zenon_H4a2. % 65.99/66.14 cut (((h4 (e11)) = (op2 (e23) (e23))) = ((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13))))). % 65.99/66.14 intro zenon_D_pnotp. % 65.99/66.14 apply zenon_H541. % 65.99/66.14 rewrite <- zenon_D_pnotp. % 65.99/66.14 exact zenon_H39a. % 65.99/66.14 cut (((op2 (e23) (e23)) = (op2 (h4 (e13)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H542]. % 65.99/66.14 cut (((h4 (e11)) = (h4 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H543]. % 65.99/66.14 congruence. % 65.99/66.14 elim (classic ((h4 (op1 (e13) (e13))) = (h4 (op1 (e13) (e13))))); [ zenon_intro zenon_H544 | zenon_intro zenon_H545 ]. % 65.99/66.14 cut (((h4 (op1 (e13) (e13))) = (h4 (op1 (e13) (e13)))) = ((h4 (e11)) = (h4 (op1 (e13) (e13))))). % 65.99/66.14 intro zenon_D_pnotp. % 65.99/66.14 apply zenon_H543. % 65.99/66.14 rewrite <- zenon_D_pnotp. % 65.99/66.14 exact zenon_H544. % 65.99/66.14 cut (((h4 (op1 (e13) (e13))) = (h4 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H545]. % 65.99/66.14 cut (((h4 (op1 (e13) (e13))) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H546]. % 65.99/66.14 congruence. % 65.99/66.14 cut (((op1 (e13) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H21a]. % 65.99/66.14 congruence. % 65.99/66.14 apply zenon_H21a. apply sym_equal. exact zenon_H219. % 65.99/66.14 apply zenon_H545. apply refl_equal. % 65.99/66.14 apply zenon_H545. apply refl_equal. % 65.99/66.14 cut (((e23) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H51d]. % 65.99/66.14 cut (((e23) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H51d]. % 65.99/66.14 congruence. % 65.99/66.14 apply zenon_H51d. apply sym_equal. exact zenon_H4a2. % 65.99/66.14 apply zenon_H51d. apply sym_equal. exact zenon_H4a2. % 65.99/66.14 (* end of lemma zenon_L1010_ *) % 65.99/66.14 assert (zenon_L1011_ : (~(((h4 (e10)) = (e20))\/(((h4 (e11)) = (e20))\/(((h4 (e12)) = (e20))\/((h4 (e13)) = (e20)))))) -> ((h4 (e10)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> False). % 65.99/66.14 do 0 intro. intros zenon_H547 zenon_H396 zenon_H29. % 65.99/66.14 apply (zenon_notor_s _ _ zenon_H547). zenon_intro zenon_H395. zenon_intro zenon_H548. % 65.99/66.14 apply (zenon_L395_); trivial. % 65.99/66.14 (* end of lemma zenon_L1011_ *) % 65.99/66.14 assert (zenon_L1012_ : (~(((h4 (e10)) = (e21))\/(((h4 (e11)) = (e21))\/(((h4 (e12)) = (e21))\/((h4 (e13)) = (e21)))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> False). % 65.99/66.14 do 0 intro. intros zenon_H549 zenon_H39a zenon_H19. % 65.99/66.14 apply (zenon_notor_s _ _ zenon_H549). zenon_intro zenon_H54b. zenon_intro zenon_H54a. % 65.99/66.14 apply (zenon_notor_s _ _ zenon_H54a). zenon_intro zenon_H47e. zenon_intro zenon_H54c. % 65.99/66.14 apply (zenon_L849_); trivial. % 65.99/66.14 (* end of lemma zenon_L1012_ *) % 65.99/66.14 assert (zenon_L1013_ : (~(((h4 (e10)) = (e22))\/(((h4 (e11)) = (e22))\/(((h4 (e12)) = (e22))\/((h4 (e13)) = (e22)))))) -> ((h4 (e12)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (e23) (e23)))) -> False). % 65.99/66.14 do 0 intro. intros zenon_H54d zenon_H491 zenon_H26. % 65.99/66.14 apply (zenon_notor_s _ _ zenon_H54d). zenon_intro zenon_H54f. zenon_intro zenon_H54e. % 65.99/66.14 apply (zenon_notor_s _ _ zenon_H54e). zenon_intro zenon_H551. zenon_intro zenon_H550. % 65.99/66.14 apply (zenon_notor_s _ _ zenon_H550). zenon_intro zenon_H490. zenon_intro zenon_H552. % 65.99/66.14 apply (zenon_L854_); trivial. % 65.99/66.14 (* end of lemma zenon_L1013_ *) % 65.99/66.14 assert (zenon_L1014_ : (~(((h4 (e10)) = (e23))\/(((h4 (e11)) = (e23))\/(((h4 (e12)) = (e23))\/((h4 (e13)) = (e23)))))) -> ((h4 (e13)) = (e23)) -> False). % 65.99/66.14 do 0 intro. intros zenon_H553 zenon_H4a2. % 65.99/66.14 apply (zenon_notor_s _ _ zenon_H553). zenon_intro zenon_H555. zenon_intro zenon_H554. % 65.99/66.14 apply (zenon_notor_s _ _ zenon_H554). zenon_intro zenon_H557. zenon_intro zenon_H556. % 65.99/66.14 apply (zenon_notor_s _ _ zenon_H556). zenon_intro zenon_H558. zenon_intro zenon_H4ae. % 65.99/66.14 exact (zenon_H4ae zenon_H4a2). % 65.99/66.14 (* end of lemma zenon_L1014_ *) % 65.99/66.14 apply NNPP. intro zenon_G. % 65.99/66.14 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H293. zenon_intro zenon_H559. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H559). zenon_intro zenon_H228. zenon_intro zenon_H55a. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H55a). zenon_intro zenon_H3c1. zenon_intro zenon_H55b. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H55b). zenon_intro zenon_H2b4. zenon_intro zenon_H55c. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H55c). zenon_intro zenon_H401. zenon_intro zenon_H55d. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H55d). zenon_intro zenon_H25a. zenon_intro zenon_H55e. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H55e). zenon_intro zenon_H37f. zenon_intro zenon_H55f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H31d. zenon_intro zenon_H560. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H414. zenon_intro zenon_H561. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H561). zenon_intro zenon_H3b4. zenon_intro zenon_H562. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H562). zenon_intro zenon_H3d1. zenon_intro zenon_H563. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H563). zenon_intro zenon_H565. zenon_intro zenon_H564. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H564). zenon_intro zenon_H3d6. zenon_intro zenon_H566. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H566). zenon_intro zenon_H568. zenon_intro zenon_H567. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H567). zenon_intro zenon_H3aa. zenon_intro zenon_H569. % 65.99/66.14 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H2b3. zenon_intro zenon_H56a. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H56a). zenon_intro zenon_H303. zenon_intro zenon_H56b. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H56b). zenon_intro zenon_H2af. zenon_intro zenon_H56c. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H56c). zenon_intro zenon_H354. zenon_intro zenon_H56d. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H56d). zenon_intro zenon_H2eb. zenon_intro zenon_H56e. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H56e). zenon_intro zenon_H4fb. zenon_intro zenon_H56f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H56f). zenon_intro zenon_H571. zenon_intro zenon_H570. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H570). zenon_intro zenon_H573. zenon_intro zenon_H572. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H572). zenon_intro zenon_H2e8. zenon_intro zenon_H574. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H574). zenon_intro zenon_H215. zenon_intro zenon_H575. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H575). zenon_intro zenon_H2f4. zenon_intro zenon_H576. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H576). zenon_intro zenon_H369. zenon_intro zenon_H577. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H577). zenon_intro zenon_H382. zenon_intro zenon_H578. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H578). zenon_intro zenon_H329. zenon_intro zenon_H579. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H579). zenon_intro zenon_H4dc. zenon_intro zenon_H57a. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H57a). zenon_intro zenon_H57c. zenon_intro zenon_H57b. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H57b). zenon_intro zenon_H227. zenon_intro zenon_H57d. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H57d). zenon_intro zenon_H2a1. zenon_intro zenon_H57e. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H57e). zenon_intro zenon_H372. zenon_intro zenon_H57f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H57f). zenon_intro zenon_H364. zenon_intro zenon_H580. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H580). zenon_intro zenon_H347. zenon_intro zenon_H581. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H581). zenon_intro zenon_H40d. zenon_intro zenon_H582. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H582). zenon_intro zenon_H584. zenon_intro zenon_H583. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H583). zenon_intro zenon_H3cd. zenon_intro zenon_H585. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H585). zenon_intro zenon_H3f0. zenon_intro zenon_H586. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H586). zenon_intro zenon_H588. zenon_intro zenon_H587. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H587). zenon_intro zenon_H58a. zenon_intro zenon_H589. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H589). zenon_intro zenon_H58c. zenon_intro zenon_H58b. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H58b). zenon_intro zenon_H392. zenon_intro zenon_H58d. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H58d). zenon_intro zenon_H3b8. zenon_intro zenon_H58e. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H58e). zenon_intro zenon_H3db. zenon_intro zenon_H3ea. % 65.99/66.14 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H142. zenon_intro zenon_H58f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H58f). zenon_intro zenon_H6b. zenon_intro zenon_H590. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H590). zenon_intro zenon_H592. zenon_intro zenon_H591. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H591). zenon_intro zenon_H12b. zenon_intro zenon_H593. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H593). zenon_intro zenon_H461. zenon_intro zenon_H594. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H594). zenon_intro zenon_H10f. zenon_intro zenon_H595. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H595). zenon_intro zenon_H1c9. zenon_intro zenon_H596. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H596). zenon_intro zenon_H161. zenon_intro zenon_H597. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H597). zenon_intro zenon_H475. zenon_intro zenon_H598. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H598). zenon_intro zenon_H424. zenon_intro zenon_H599. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H599). zenon_intro zenon_H1d6. zenon_intro zenon_H59a. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H59a). zenon_intro zenon_H59c. zenon_intro zenon_H59b. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H59b). zenon_intro zenon_H43e. zenon_intro zenon_H59d. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H59d). zenon_intro zenon_H59f. zenon_intro zenon_H59e. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H59e). zenon_intro zenon_H1e5. zenon_intro zenon_H5a0. % 65.99/66.14 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H197. zenon_intro zenon_H5a1. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5a1). zenon_intro zenon_H79. zenon_intro zenon_H5a2. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5a2). zenon_intro zenon_H189. zenon_intro zenon_H5a3. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5a3). zenon_intro zenon_H442. zenon_intro zenon_H5a4. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5a4). zenon_intro zenon_H194. zenon_intro zenon_H5a5. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5a5). zenon_intro zenon_H1af. zenon_intro zenon_H5a6. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5a6). zenon_intro zenon_H5a8. zenon_intro zenon_H5a7. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5a7). zenon_intro zenon_H5aa. zenon_intro zenon_H5a9. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5a9). zenon_intro zenon_Hb0. zenon_intro zenon_H5ab. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5ab). zenon_intro zenon_H71. zenon_intro zenon_H5ac. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5ac). zenon_intro zenon_H181. zenon_intro zenon_H5ad. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5ad). zenon_intro zenon_H5af. zenon_intro zenon_H5ae. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5ae). zenon_intro zenon_H182. zenon_intro zenon_H5b0. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5b0). zenon_intro zenon_H9c. zenon_intro zenon_H5b1. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5b1). zenon_intro zenon_H4df. zenon_intro zenon_H5b2. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5b2). zenon_intro zenon_H5b4. zenon_intro zenon_H5b3. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5b3). zenon_intro zenon_H6e. zenon_intro zenon_H5b5. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5b5). zenon_intro zenon_H136. zenon_intro zenon_H5b6. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_H17e. zenon_intro zenon_H5b7. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H19e. zenon_intro zenon_H5b8. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H164. zenon_intro zenon_H5b9. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H445. zenon_intro zenon_H5ba. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5ba). zenon_intro zenon_H5bc. zenon_intro zenon_H5bb. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5bb). zenon_intro zenon_H450. zenon_intro zenon_H5bd. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5bd). zenon_intro zenon_H9e. zenon_intro zenon_H5be. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H5c0. zenon_intro zenon_H5bf. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5bf). zenon_intro zenon_H5c2. zenon_intro zenon_H5c1. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H5c4. zenon_intro zenon_H5c3. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5c3). zenon_intro zenon_H435. zenon_intro zenon_H5c5. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5c5). zenon_intro zenon_H1dd. zenon_intro zenon_H5c6. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5c6). zenon_intro zenon_H431. zenon_intro zenon_H44d. % 65.99/66.14 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H2df. zenon_intro zenon_H5c7. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H348. zenon_intro zenon_H5c8. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H300. zenon_intro zenon_H5c9. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H2f7. zenon_intro zenon_H5ca. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5ca). zenon_intro zenon_H4ce. zenon_intro zenon_H5cb. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5cb). zenon_intro zenon_H5cd. zenon_intro zenon_H5cc. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5cc). zenon_intro zenon_H20c. zenon_intro zenon_H5ce. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5ce). zenon_intro zenon_H5d0. zenon_intro zenon_H5cf. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5cf). zenon_intro zenon_H212. zenon_intro zenon_H5d1. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5d1). zenon_intro zenon_H367. zenon_intro zenon_H5d2. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5d2). zenon_intro zenon_H24e. zenon_intro zenon_H5d3. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5d3). zenon_intro zenon_H320. zenon_intro zenon_H5d4. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5d4). zenon_intro zenon_H299. zenon_intro zenon_H5d5. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5d5). zenon_intro zenon_H3e3. zenon_intro zenon_H5d6. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5d6). zenon_intro zenon_H29e. zenon_intro zenon_H5d7. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5d7). zenon_intro zenon_H35d. zenon_intro zenon_H5d8. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5d8). zenon_intro zenon_H3c4. zenon_intro zenon_H5d9. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5d9). zenon_intro zenon_H3c7. zenon_intro zenon_H5da. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5da). zenon_intro zenon_H328. zenon_intro zenon_H5db. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5db). zenon_intro zenon_H21e. zenon_intro zenon_H5dc. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5dc). zenon_intro zenon_H27d. zenon_intro zenon_H5dd. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5dd). zenon_intro zenon_H2e4. zenon_intro zenon_H5de. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5de). zenon_intro zenon_H252. zenon_intro zenon_H5df. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5df). zenon_intro zenon_H36e. zenon_intro zenon_H5e0. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5e0). zenon_intro zenon_H204. zenon_intro zenon_H5e1. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5e1). zenon_intro zenon_H2d8. zenon_intro zenon_H5e2. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5e2). zenon_intro zenon_H5e4. zenon_intro zenon_H5e3. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5e3). zenon_intro zenon_H284. zenon_intro zenon_H5e5. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5e5). zenon_intro zenon_H5e7. zenon_intro zenon_H5e6. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5e6). zenon_intro zenon_H5e9. zenon_intro zenon_H5e8. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5e8). zenon_intro zenon_H2ef. zenon_intro zenon_H5ea. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5ea). zenon_intro zenon_H265. zenon_intro zenon_H5eb. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5eb). zenon_intro zenon_H5ed. zenon_intro zenon_H5ec. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5ec). zenon_intro zenon_H26b. zenon_intro zenon_H5ee. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5ee). zenon_intro zenon_H5f0. zenon_intro zenon_H5ef. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5ef). zenon_intro zenon_H5f2. zenon_intro zenon_H5f1. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5f1). zenon_intro zenon_H5f4. zenon_intro zenon_H5f3. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5f3). zenon_intro zenon_H342. zenon_intro zenon_H5f5. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5f5). zenon_intro zenon_H1ed. zenon_intro zenon_H5f6. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5f6). zenon_intro zenon_H3d0. zenon_intro zenon_H5f7. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5f7). zenon_intro zenon_H1f4. zenon_intro zenon_H5f8. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5f8). zenon_intro zenon_H1fa. zenon_intro zenon_H5f9. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5f9). zenon_intro zenon_H38a. zenon_intro zenon_H5fa. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5fa). zenon_intro zenon_H3cb. zenon_intro zenon_H5fb. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5fb). zenon_intro zenon_H2fa. zenon_intro zenon_H5fc. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5fc). zenon_intro zenon_H2c6. zenon_intro zenon_H5fd. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5fd). zenon_intro zenon_H272. zenon_intro zenon_H360. % 65.99/66.14 apply (zenon_and_s _ _ ax6). zenon_intro zenon_H3e. zenon_intro zenon_H5fe. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5fe). zenon_intro zenon_H16b. zenon_intro zenon_H5ff. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H5ff). zenon_intro zenon_H76. zenon_intro zenon_H600. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H600). zenon_intro zenon_H14c. zenon_intro zenon_H601. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H601). zenon_intro zenon_H4cc. zenon_intro zenon_H602. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H602). zenon_intro zenon_H604. zenon_intro zenon_H603. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H603). zenon_intro zenon_H85. zenon_intro zenon_H605. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H605). zenon_intro zenon_H607. zenon_intro zenon_H606. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H606). zenon_intro zenon_H56. zenon_intro zenon_H608. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H608). zenon_intro zenon_H171. zenon_intro zenon_H609. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H609). zenon_intro zenon_H107. zenon_intro zenon_H60a. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H60a). zenon_intro zenon_H8a. zenon_intro zenon_H60b. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H60b). zenon_intro zenon_H131. zenon_intro zenon_H60c. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H60c). zenon_intro zenon_H150. zenon_intro zenon_H60d. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H60d). zenon_intro zenon_H135. zenon_intro zenon_H60e. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H60e). zenon_intro zenon_H176. zenon_intro zenon_H60f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H60f). zenon_intro zenon_Ha0. zenon_intro zenon_H610. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H610). zenon_intro zenon_H438. zenon_intro zenon_H611. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H611). zenon_intro zenon_H4af. zenon_intro zenon_H612. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H612). zenon_intro zenon_H33. zenon_intro zenon_H613. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H613). zenon_intro zenon_H119. zenon_intro zenon_H614. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H614). zenon_intro zenon_Haa. zenon_intro zenon_H615. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H615). zenon_intro zenon_H109. zenon_intro zenon_H616. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H616). zenon_intro zenon_H17a. zenon_intro zenon_H617. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H617). zenon_intro zenon_H1a1. zenon_intro zenon_H618. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H618). zenon_intro zenon_H12e. zenon_intro zenon_H619. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H619). zenon_intro zenon_H61b. zenon_intro zenon_H61a. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H61a). zenon_intro zenon_H13c. zenon_intro zenon_H61c. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H61c). zenon_intro zenon_H61e. zenon_intro zenon_H61d. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H61d). zenon_intro zenon_H123. zenon_intro zenon_H61f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H61f). zenon_intro zenon_H103. zenon_intro zenon_H620. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H620). zenon_intro zenon_H113. zenon_intro zenon_H621. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H621). zenon_intro zenon_H623. zenon_intro zenon_H622. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H622). zenon_intro zenon_H118. zenon_intro zenon_H624. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H624). zenon_intro zenon_H626. zenon_intro zenon_H625. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H625). zenon_intro zenon_H628. zenon_intro zenon_H627. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H627). zenon_intro zenon_H62a. zenon_intro zenon_H629. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H629). zenon_intro zenon_H1a9. zenon_intro zenon_H62b. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H62b). zenon_intro zenon_H28. zenon_intro zenon_H62c. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H62c). zenon_intro zenon_H1c0. zenon_intro zenon_H62d. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H62d). zenon_intro zenon_H44. zenon_intro zenon_H62e. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H62e). zenon_intro zenon_H4a. zenon_intro zenon_H62f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H62f). zenon_intro zenon_H96. zenon_intro zenon_H630. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H630). zenon_intro zenon_H429. zenon_intro zenon_H631. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H631). zenon_intro zenon_H43a. zenon_intro zenon_H632. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H632). zenon_intro zenon_Hd0. zenon_intro zenon_H633. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H633). zenon_intro zenon_Hba. zenon_intro zenon_H19a. % 65.99/66.14 apply (zenon_and_s _ _ ax7). zenon_intro zenon_H635. zenon_intro zenon_H634. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H634). zenon_intro zenon_H637. zenon_intro zenon_H636. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H636). zenon_intro zenon_H4b7. zenon_intro zenon_H638. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H638). zenon_intro zenon_H2aa. zenon_intro zenon_H639. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H639). zenon_intro zenon_H63a. zenon_intro zenon_H30f. % 65.99/66.14 apply (zenon_and_s _ _ ax8). zenon_intro zenon_H63c. zenon_intro zenon_H63b. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H63b). zenon_intro zenon_H63e. zenon_intro zenon_H63d. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H63d). zenon_intro zenon_Hd9. zenon_intro zenon_H63f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H63f). zenon_intro zenon_H641. zenon_intro zenon_H640. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H640). zenon_intro zenon_H642. zenon_intro zenon_H193. % 65.99/66.14 apply (zenon_and_s _ _ ax10). zenon_intro zenon_H48d. zenon_intro zenon_H643. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H643). zenon_intro zenon_H404. zenon_intro zenon_H644. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H644). zenon_intro zenon_H3ef. zenon_intro zenon_H645. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H645). zenon_intro zenon_H353. zenon_intro zenon_H32c. % 65.99/66.14 apply (zenon_and_s _ _ ax11). zenon_intro zenon_H647. zenon_intro zenon_H646. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H646). zenon_intro zenon_H469. zenon_intro zenon_H648. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H648). zenon_intro zenon_H455. zenon_intro zenon_H649. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H649). zenon_intro zenon_H1b8. zenon_intro zenon_Hf0. % 65.99/66.14 apply (zenon_and_s _ _ ax12). zenon_intro zenon_H1ee. zenon_intro zenon_H64a. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H64a). zenon_intro zenon_H219. zenon_intro zenon_H1eb. % 65.99/66.14 apply (zenon_and_s _ _ ax13). zenon_intro zenon_H29. zenon_intro zenon_H64b. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H64b). zenon_intro zenon_H19. zenon_intro zenon_H26. % 65.99/66.14 apply (zenon_and_s _ _ ax17). zenon_intro zenon_H4a2. zenon_intro zenon_H64c. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H64c). zenon_intro zenon_H396. zenon_intro zenon_H64d. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H64d). zenon_intro zenon_H39a. zenon_intro zenon_H491. % 65.99/66.14 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H64f. zenon_intro zenon_H64e. % 65.99/66.14 apply (zenon_notor_s _ _ zenon_H64e). zenon_intro zenon_H651. zenon_intro zenon_H650. % 65.99/66.14 apply (zenon_notor_s _ _ zenon_H650). zenon_intro zenon_H653. zenon_intro zenon_H652. % 65.99/66.14 apply (zenon_notand_s _ _ zenon_H652); [ zenon_intro zenon_H399 | zenon_intro zenon_H654 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H647); [ zenon_intro zenon_H8f | zenon_intro zenon_H655 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H469); [ zenon_intro zenon_H3f | zenon_intro zenon_H46a ]. % 65.99/66.14 apply (zenon_L59_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H46a); [ zenon_intro zenon_H102 | zenon_intro zenon_H46b ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H455); [ zenon_intro zenon_H191 | zenon_intro zenon_H456 ]. % 65.99/66.14 apply (zenon_L164_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H456); [ zenon_intro zenon_H1bc | zenon_intro zenon_H457 ]. % 65.99/66.14 apply (zenon_L187_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H457); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1e2 ]. % 65.99/66.14 apply (zenon_L203_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.99/66.14 apply (zenon_L94_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.99/66.14 apply (zenon_L211_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.99/66.14 apply (zenon_L1_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.99/66.14 apply (zenon_L2_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.99/66.14 apply (zenon_L6_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.99/66.14 apply (zenon_L8_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.99/66.14 apply (zenon_L66_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.99/66.14 apply (zenon_L27_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.99/66.14 apply (zenon_L71_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.99/66.14 apply (zenon_L47_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.99/66.14 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.99/66.14 apply (zenon_L227_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.99/66.14 apply (zenon_L329_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.99/66.14 apply (zenon_L378_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.99/66.14 apply (zenon_L394_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.14 apply (zenon_L228_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.14 apply (zenon_L229_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.14 apply (zenon_L230_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.14 apply (zenon_L232_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.14 apply (zenon_L239_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.14 apply (zenon_L240_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.14 apply (zenon_L245_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.14 apply (zenon_L247_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.14 exact (zenon_H17 zenon_H14). % 65.99/66.14 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.99/66.14 apply (zenon_L397_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.99/66.14 apply (zenon_L136_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.99/66.14 apply (zenon_L147_); trivial. % 65.99/66.14 apply (zenon_L72_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.14 apply (zenon_L155_); trivial. % 65.99/66.14 apply (zenon_L7_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.14 apply (zenon_L263_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.14 apply (zenon_L264_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.14 apply (zenon_L266_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.14 exact (zenon_H17 zenon_H14). % 65.99/66.14 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.99/66.14 apply (zenon_L403_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.99/66.14 apply (zenon_L136_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.99/66.14 apply (zenon_L147_); trivial. % 65.99/66.14 apply (zenon_L72_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.14 apply (zenon_L148_); trivial. % 65.99/66.14 apply (zenon_L7_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.14 apply (zenon_L269_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.14 apply (zenon_L405_); trivial. % 65.99/66.14 apply (zenon_L301_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.99/66.14 apply (zenon_L415_); trivial. % 65.99/66.14 apply (zenon_L485_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.99/66.14 apply (zenon_L529_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.99/66.14 apply (zenon_L559_); trivial. % 65.99/66.14 apply (zenon_L587_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.99/66.14 apply (zenon_L49_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.99/66.14 apply (zenon_L50_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.99/66.14 apply (zenon_L52_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.99/66.14 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.99/66.14 apply (zenon_L227_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.99/66.14 apply (zenon_L329_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.99/66.14 apply (zenon_L378_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.99/66.14 apply (zenon_L394_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.14 apply (zenon_L228_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.14 apply (zenon_L229_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.14 apply (zenon_L230_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.14 apply (zenon_L232_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.14 apply (zenon_L239_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.14 apply (zenon_L240_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.14 apply (zenon_L245_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.14 apply (zenon_L247_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.14 exact (zenon_H17 zenon_H14). % 65.99/66.14 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.99/66.14 apply (zenon_L397_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.99/66.14 apply (zenon_L136_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.99/66.14 apply (zenon_L153_); trivial. % 65.99/66.14 apply (zenon_L72_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.14 apply (zenon_L155_); trivial. % 65.99/66.14 apply (zenon_L7_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.14 apply (zenon_L263_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.14 apply (zenon_L264_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.14 apply (zenon_L266_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.14 exact (zenon_H17 zenon_H14). % 65.99/66.14 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.99/66.14 apply (zenon_L403_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.99/66.14 apply (zenon_L136_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.99/66.14 apply (zenon_L153_); trivial. % 65.99/66.14 apply (zenon_L72_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.14 apply (zenon_L155_); trivial. % 65.99/66.14 apply (zenon_L7_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.14 apply (zenon_L269_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.14 apply (zenon_L405_); trivial. % 65.99/66.14 apply (zenon_L301_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.99/66.14 apply (zenon_L415_); trivial. % 65.99/66.14 apply (zenon_L485_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.99/66.14 apply (zenon_L529_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.99/66.14 apply (zenon_L559_); trivial. % 65.99/66.14 apply (zenon_L587_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.99/66.14 apply (zenon_L56_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.99/66.14 apply (zenon_L210_); trivial. % 65.99/66.14 apply (zenon_L58_); trivial. % 65.99/66.14 apply (zenon_L163_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H46b); [ zenon_intro zenon_H41d | zenon_intro zenon_H428 ]. % 65.99/66.14 apply (zenon_L604_); trivial. % 65.99/66.14 apply (zenon_L672_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H655); [ zenon_intro zenon_H459 | zenon_intro zenon_H656 ]. % 65.99/66.14 apply (zenon_L791_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H656); [ zenon_intro zenon_H46c | zenon_intro zenon_H47a ]. % 65.99/66.14 apply (zenon_L817_); trivial. % 65.99/66.14 apply (zenon_L848_); trivial. % 65.99/66.14 apply (zenon_notand_s _ _ zenon_H654); [ zenon_intro zenon_H480 | zenon_intro zenon_H657 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H647); [ zenon_intro zenon_H8f | zenon_intro zenon_H655 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H469); [ zenon_intro zenon_H3f | zenon_intro zenon_H46a ]. % 65.99/66.14 apply (zenon_L59_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H46a); [ zenon_intro zenon_H102 | zenon_intro zenon_H46b ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H455); [ zenon_intro zenon_H191 | zenon_intro zenon_H456 ]. % 65.99/66.14 apply (zenon_L164_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H456); [ zenon_intro zenon_H1bc | zenon_intro zenon_H457 ]. % 65.99/66.14 apply (zenon_L187_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H457); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1e2 ]. % 65.99/66.14 apply (zenon_L203_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.99/66.14 apply (zenon_L94_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.99/66.14 apply (zenon_L211_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.99/66.14 apply (zenon_L1_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.99/66.14 apply (zenon_L2_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.99/66.14 apply (zenon_L6_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.99/66.14 apply (zenon_L8_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.99/66.14 apply (zenon_L66_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.99/66.14 apply (zenon_L27_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.99/66.14 apply (zenon_L71_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.99/66.14 apply (zenon_L47_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.99/66.14 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.99/66.14 apply (zenon_L853_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.99/66.14 apply (zenon_L49_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.99/66.14 apply (zenon_L50_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.99/66.14 apply (zenon_L52_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.99/66.14 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.99/66.14 apply (zenon_L853_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.99/66.14 apply (zenon_L56_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.99/66.14 apply (zenon_L162_); trivial. % 65.99/66.14 apply (zenon_L58_); trivial. % 65.99/66.14 apply (zenon_L163_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H46b); [ zenon_intro zenon_H41d | zenon_intro zenon_H428 ]. % 65.99/66.14 apply (zenon_L604_); trivial. % 65.99/66.14 apply (zenon_L672_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H655); [ zenon_intro zenon_H459 | zenon_intro zenon_H656 ]. % 65.99/66.14 apply (zenon_L791_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H656); [ zenon_intro zenon_H46c | zenon_intro zenon_H47a ]. % 65.99/66.14 apply (zenon_L817_); trivial. % 65.99/66.14 apply (zenon_L848_); trivial. % 65.99/66.14 apply (zenon_notand_s _ _ zenon_H657); [ zenon_intro zenon_H493 | zenon_intro zenon_H658 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H647); [ zenon_intro zenon_H8f | zenon_intro zenon_H655 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H469); [ zenon_intro zenon_H3f | zenon_intro zenon_H46a ]. % 65.99/66.14 apply (zenon_L59_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H46a); [ zenon_intro zenon_H102 | zenon_intro zenon_H46b ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H455); [ zenon_intro zenon_H191 | zenon_intro zenon_H456 ]. % 65.99/66.14 apply (zenon_L164_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H456); [ zenon_intro zenon_H1bc | zenon_intro zenon_H457 ]. % 65.99/66.14 apply (zenon_L187_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H457); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1e2 ]. % 65.99/66.14 apply (zenon_L203_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.99/66.14 apply (zenon_L94_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.99/66.14 apply (zenon_L211_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.99/66.14 apply (zenon_L1_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.99/66.14 apply (zenon_L2_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.99/66.14 apply (zenon_L6_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.99/66.14 apply (zenon_L8_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.99/66.14 apply (zenon_L66_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.99/66.14 apply (zenon_L27_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.99/66.14 apply (zenon_L71_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.99/66.14 apply (zenon_L47_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.99/66.14 apply (zenon_L857_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.99/66.14 apply (zenon_L49_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.99/66.14 apply (zenon_L50_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.99/66.14 apply (zenon_L52_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.99/66.14 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.99/66.14 apply (zenon_L227_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.99/66.14 apply (zenon_L329_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.99/66.14 apply (zenon_L378_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.99/66.14 apply (zenon_L394_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.14 apply (zenon_L228_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.14 apply (zenon_L229_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.14 apply (zenon_L230_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.14 apply (zenon_L232_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.14 apply (zenon_L239_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.14 apply (zenon_L240_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.14 apply (zenon_L245_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.14 apply (zenon_L247_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.14 exact (zenon_H17 zenon_H14). % 65.99/66.14 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.14 apply (zenon_L858_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.14 apply (zenon_L155_); trivial. % 65.99/66.14 apply (zenon_L7_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.14 apply (zenon_L263_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.14 apply (zenon_L264_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.14 apply (zenon_L266_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.14 exact (zenon_H17 zenon_H14). % 65.99/66.14 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.14 apply (zenon_L859_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.14 apply (zenon_L155_); trivial. % 65.99/66.14 apply (zenon_L7_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.14 apply (zenon_L269_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.14 apply (zenon_L405_); trivial. % 65.99/66.14 apply (zenon_L301_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.99/66.14 apply (zenon_L415_); trivial. % 65.99/66.14 apply (zenon_L485_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.99/66.14 apply (zenon_L529_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.99/66.14 apply (zenon_L559_); trivial. % 65.99/66.14 apply (zenon_L587_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.99/66.14 apply (zenon_L56_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.99/66.14 apply (zenon_L210_); trivial. % 65.99/66.14 apply (zenon_L58_); trivial. % 65.99/66.14 apply (zenon_L163_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H46b); [ zenon_intro zenon_H41d | zenon_intro zenon_H428 ]. % 65.99/66.14 apply (zenon_L604_); trivial. % 65.99/66.14 apply (zenon_L672_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H655); [ zenon_intro zenon_H459 | zenon_intro zenon_H656 ]. % 65.99/66.14 apply (zenon_L791_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H656); [ zenon_intro zenon_H46c | zenon_intro zenon_H47a ]. % 65.99/66.14 apply (zenon_L817_); trivial. % 65.99/66.14 apply (zenon_L848_); trivial. % 65.99/66.14 apply (zenon_notand_s _ _ zenon_H658); [ zenon_intro zenon_H4a1 | zenon_intro zenon_H659 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H647); [ zenon_intro zenon_H8f | zenon_intro zenon_H655 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H469); [ zenon_intro zenon_H3f | zenon_intro zenon_H46a ]. % 65.99/66.14 apply (zenon_L59_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H46a); [ zenon_intro zenon_H102 | zenon_intro zenon_H46b ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H455); [ zenon_intro zenon_H191 | zenon_intro zenon_H456 ]. % 65.99/66.14 apply (zenon_L164_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H456); [ zenon_intro zenon_H1bc | zenon_intro zenon_H457 ]. % 65.99/66.14 apply (zenon_L187_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H457); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1e2 ]. % 65.99/66.14 apply (zenon_L203_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.99/66.14 apply (zenon_L94_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.99/66.14 apply (zenon_L211_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.99/66.14 apply (zenon_L872_); trivial. % 65.99/66.14 apply (zenon_L163_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H46b); [ zenon_intro zenon_H41d | zenon_intro zenon_H428 ]. % 65.99/66.14 apply (zenon_L604_); trivial. % 65.99/66.14 apply (zenon_L672_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H655); [ zenon_intro zenon_H459 | zenon_intro zenon_H656 ]. % 65.99/66.14 apply (zenon_L791_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H656); [ zenon_intro zenon_H46c | zenon_intro zenon_H47a ]. % 65.99/66.14 apply (zenon_L817_); trivial. % 65.99/66.14 apply (zenon_L848_); trivial. % 65.99/66.14 apply (zenon_notand_s _ _ zenon_H659); [ zenon_intro zenon_H4bb | zenon_intro zenon_H65a ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H647); [ zenon_intro zenon_H8f | zenon_intro zenon_H655 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H469); [ zenon_intro zenon_H3f | zenon_intro zenon_H46a ]. % 65.99/66.14 apply (zenon_L59_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H46a); [ zenon_intro zenon_H102 | zenon_intro zenon_H46b ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H455); [ zenon_intro zenon_H191 | zenon_intro zenon_H456 ]. % 65.99/66.14 apply (zenon_L164_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H456); [ zenon_intro zenon_H1bc | zenon_intro zenon_H457 ]. % 65.99/66.14 apply (zenon_L187_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H457); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1e2 ]. % 65.99/66.14 apply (zenon_L203_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.99/66.14 apply (zenon_L94_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.99/66.14 apply (zenon_L211_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.99/66.14 apply (zenon_L891_); trivial. % 65.99/66.14 apply (zenon_L163_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H46b); [ zenon_intro zenon_H41d | zenon_intro zenon_H428 ]. % 65.99/66.14 apply (zenon_L604_); trivial. % 65.99/66.14 apply (zenon_L672_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H655); [ zenon_intro zenon_H459 | zenon_intro zenon_H656 ]. % 65.99/66.14 apply (zenon_L791_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H656); [ zenon_intro zenon_H46c | zenon_intro zenon_H47a ]. % 65.99/66.14 apply (zenon_L817_); trivial. % 65.99/66.14 apply (zenon_L848_); trivial. % 65.99/66.14 apply (zenon_notand_s _ _ zenon_H65a); [ zenon_intro zenon_H4c1 | zenon_intro zenon_H65b ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H647); [ zenon_intro zenon_H8f | zenon_intro zenon_H655 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H469); [ zenon_intro zenon_H3f | zenon_intro zenon_H46a ]. % 65.99/66.14 apply (zenon_L59_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H46a); [ zenon_intro zenon_H102 | zenon_intro zenon_H46b ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H455); [ zenon_intro zenon_H191 | zenon_intro zenon_H456 ]. % 65.99/66.14 apply (zenon_L164_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H456); [ zenon_intro zenon_H1bc | zenon_intro zenon_H457 ]. % 65.99/66.14 apply (zenon_L187_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H457); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1e2 ]. % 65.99/66.14 apply (zenon_L203_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.99/66.14 apply (zenon_L94_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.99/66.14 apply (zenon_L211_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.99/66.14 apply (zenon_L1_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.99/66.14 apply (zenon_L2_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.99/66.14 apply (zenon_L6_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.99/66.14 apply (zenon_L8_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.99/66.14 apply (zenon_L66_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.99/66.14 apply (zenon_L27_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.99/66.14 apply (zenon_L71_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.99/66.14 apply (zenon_L47_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.99/66.14 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.99/66.14 apply (zenon_L227_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.99/66.14 apply (zenon_L329_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.99/66.14 apply (zenon_L378_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.99/66.14 apply (zenon_L394_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.14 apply (zenon_L228_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.14 apply (zenon_L229_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.14 apply (zenon_L230_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.14 apply (zenon_L232_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.14 apply (zenon_L239_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.14 apply (zenon_L240_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.14 apply (zenon_L245_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.14 apply (zenon_L247_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.14 apply (zenon_L895_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.14 apply (zenon_L263_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.14 apply (zenon_L264_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.14 apply (zenon_L266_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.14 apply (zenon_L895_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.14 apply (zenon_L269_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.14 apply (zenon_L405_); trivial. % 65.99/66.14 apply (zenon_L301_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.99/66.14 apply (zenon_L415_); trivial. % 65.99/66.14 apply (zenon_L485_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.99/66.14 apply (zenon_L529_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.99/66.14 apply (zenon_L559_); trivial. % 65.99/66.14 apply (zenon_L587_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.99/66.14 apply (zenon_L49_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.99/66.14 apply (zenon_L50_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.99/66.14 apply (zenon_L52_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.99/66.14 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.99/66.14 apply (zenon_L227_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.99/66.14 apply (zenon_L329_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.99/66.14 apply (zenon_L378_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.99/66.14 apply (zenon_L394_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.14 apply (zenon_L228_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.14 apply (zenon_L229_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.14 apply (zenon_L230_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.14 apply (zenon_L232_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.14 apply (zenon_L239_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.14 apply (zenon_L240_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.14 apply (zenon_L245_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.14 apply (zenon_L247_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.14 apply (zenon_L896_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.14 apply (zenon_L263_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.14 apply (zenon_L264_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.14 apply (zenon_L266_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.14 apply (zenon_L896_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.14 apply (zenon_L269_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.14 apply (zenon_L405_); trivial. % 65.99/66.14 apply (zenon_L301_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.99/66.14 apply (zenon_L415_); trivial. % 65.99/66.14 apply (zenon_L485_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.99/66.14 apply (zenon_L529_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.99/66.14 apply (zenon_L559_); trivial. % 65.99/66.14 apply (zenon_L587_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.99/66.14 apply (zenon_L56_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.99/66.14 apply (zenon_L162_); trivial. % 65.99/66.14 apply (zenon_L58_); trivial. % 65.99/66.14 apply (zenon_L163_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H46b); [ zenon_intro zenon_H41d | zenon_intro zenon_H428 ]. % 65.99/66.14 apply (zenon_L604_); trivial. % 65.99/66.14 apply (zenon_L672_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H655); [ zenon_intro zenon_H459 | zenon_intro zenon_H656 ]. % 65.99/66.14 apply (zenon_L791_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H656); [ zenon_intro zenon_H46c | zenon_intro zenon_H47a ]. % 65.99/66.14 apply (zenon_L817_); trivial. % 65.99/66.14 apply (zenon_L848_); trivial. % 65.99/66.14 apply (zenon_notand_s _ _ zenon_H65b); [ zenon_intro zenon_H4d0 | zenon_intro zenon_H65c ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H647); [ zenon_intro zenon_H8f | zenon_intro zenon_H655 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H469); [ zenon_intro zenon_H3f | zenon_intro zenon_H46a ]. % 65.99/66.14 apply (zenon_L59_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H46a); [ zenon_intro zenon_H102 | zenon_intro zenon_H46b ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H455); [ zenon_intro zenon_H191 | zenon_intro zenon_H456 ]. % 65.99/66.14 apply (zenon_L164_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H456); [ zenon_intro zenon_H1bc | zenon_intro zenon_H457 ]. % 65.99/66.14 apply (zenon_L187_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H457); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1e2 ]. % 65.99/66.14 apply (zenon_L203_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.99/66.14 apply (zenon_L94_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.99/66.14 apply (zenon_L211_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.99/66.14 apply (zenon_L1_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.99/66.14 apply (zenon_L2_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.99/66.14 apply (zenon_L6_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.99/66.14 apply (zenon_L8_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.99/66.14 apply (zenon_L66_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.99/66.14 apply (zenon_L27_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.99/66.14 apply (zenon_L71_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.99/66.14 apply (zenon_L47_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.99/66.14 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.99/66.14 apply (zenon_L227_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.99/66.14 apply (zenon_L329_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.99/66.14 apply (zenon_L378_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.99/66.14 apply (zenon_L394_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.99/66.14 apply (zenon_L860_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.99/66.14 apply (zenon_L861_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.14 apply (zenon_L228_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.14 apply (zenon_L229_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.14 apply (zenon_L230_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.14 apply (zenon_L232_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.14 apply (zenon_L239_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.14 apply (zenon_L240_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.14 apply (zenon_L245_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.14 apply (zenon_L247_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.14 exact (zenon_H17 zenon_H14). % 65.99/66.14 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.14 apply (zenon_L905_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.14 apply (zenon_L155_); trivial. % 65.99/66.14 apply (zenon_L7_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.14 apply (zenon_L263_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.14 apply (zenon_L264_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.14 apply (zenon_L266_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.99/66.14 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.14 exact (zenon_H17 zenon_H14). % 65.99/66.14 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.14 apply (zenon_L906_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.14 apply (zenon_L148_); trivial. % 65.99/66.14 apply (zenon_L7_); trivial. % 65.99/66.14 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.15 apply (zenon_L269_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.15 apply (zenon_L405_); trivial. % 65.99/66.15 apply (zenon_L301_); trivial. % 65.99/66.15 apply (zenon_L328_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.99/66.15 apply (zenon_L415_); trivial. % 65.99/66.15 apply (zenon_L485_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.99/66.15 apply (zenon_L529_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.99/66.15 apply (zenon_L559_); trivial. % 65.99/66.15 apply (zenon_L587_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.99/66.15 apply (zenon_L49_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.99/66.15 apply (zenon_L50_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.99/66.15 apply (zenon_L52_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.99/66.15 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.99/66.15 apply (zenon_L227_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.99/66.15 apply (zenon_L329_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.99/66.15 apply (zenon_L378_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.99/66.15 apply (zenon_L394_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.99/66.15 apply (zenon_L860_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.99/66.15 apply (zenon_L861_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.15 apply (zenon_L228_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.15 apply (zenon_L229_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.15 apply (zenon_L230_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.15 apply (zenon_L232_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.15 apply (zenon_L239_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.15 apply (zenon_L240_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.15 apply (zenon_L245_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.15 apply (zenon_L247_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.15 exact (zenon_H17 zenon_H14). % 65.99/66.15 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.15 apply (zenon_L907_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.15 apply (zenon_L155_); trivial. % 65.99/66.15 apply (zenon_L7_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.15 apply (zenon_L263_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.15 apply (zenon_L264_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.15 apply (zenon_L266_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.15 exact (zenon_H17 zenon_H14). % 65.99/66.15 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.15 apply (zenon_L908_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.15 apply (zenon_L155_); trivial. % 65.99/66.15 apply (zenon_L7_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.15 apply (zenon_L269_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.15 apply (zenon_L405_); trivial. % 65.99/66.15 apply (zenon_L301_); trivial. % 65.99/66.15 apply (zenon_L328_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.99/66.15 apply (zenon_L415_); trivial. % 65.99/66.15 apply (zenon_L485_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.99/66.15 apply (zenon_L529_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.99/66.15 apply (zenon_L559_); trivial. % 65.99/66.15 apply (zenon_L587_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.99/66.15 apply (zenon_L56_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.99/66.15 apply (zenon_L210_); trivial. % 65.99/66.15 apply (zenon_L58_); trivial. % 65.99/66.15 apply (zenon_L163_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H46b); [ zenon_intro zenon_H41d | zenon_intro zenon_H428 ]. % 65.99/66.15 apply (zenon_L604_); trivial. % 65.99/66.15 apply (zenon_L672_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H655); [ zenon_intro zenon_H459 | zenon_intro zenon_H656 ]. % 65.99/66.15 apply (zenon_L791_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H656); [ zenon_intro zenon_H46c | zenon_intro zenon_H47a ]. % 65.99/66.15 apply (zenon_L817_); trivial. % 65.99/66.15 apply (zenon_L848_); trivial. % 65.99/66.15 apply (zenon_notand_s _ _ zenon_H65c); [ zenon_intro zenon_H4e2 | zenon_intro zenon_H65d ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H647); [ zenon_intro zenon_H8f | zenon_intro zenon_H655 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H469); [ zenon_intro zenon_H3f | zenon_intro zenon_H46a ]. % 65.99/66.15 apply (zenon_L59_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H46a); [ zenon_intro zenon_H102 | zenon_intro zenon_H46b ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H455); [ zenon_intro zenon_H191 | zenon_intro zenon_H456 ]. % 65.99/66.15 apply (zenon_L164_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H456); [ zenon_intro zenon_H1bc | zenon_intro zenon_H457 ]. % 65.99/66.15 apply (zenon_L187_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H457); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1e2 ]. % 65.99/66.15 apply (zenon_L203_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.99/66.15 apply (zenon_L94_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.99/66.15 apply (zenon_L211_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.99/66.15 apply (zenon_L1_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.99/66.15 apply (zenon_L2_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.99/66.15 apply (zenon_L6_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.99/66.15 apply (zenon_L8_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.99/66.15 apply (zenon_L66_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.99/66.15 apply (zenon_L27_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.99/66.15 apply (zenon_L71_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.99/66.15 apply (zenon_L47_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.99/66.15 apply (zenon_L913_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.99/66.15 apply (zenon_L49_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.99/66.15 apply (zenon_L50_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.99/66.15 apply (zenon_L52_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.99/66.15 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.99/66.15 apply (zenon_L227_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.99/66.15 apply (zenon_L329_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.99/66.15 apply (zenon_L378_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.99/66.15 apply (zenon_L394_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.99/66.15 apply (zenon_L860_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.99/66.15 apply (zenon_L861_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.15 apply (zenon_L228_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.15 apply (zenon_L229_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.15 apply (zenon_L230_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.15 apply (zenon_L232_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.15 apply (zenon_L239_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.15 apply (zenon_L240_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.15 apply (zenon_L245_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.15 apply (zenon_L247_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.15 exact (zenon_H17 zenon_H14). % 65.99/66.15 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.15 apply (zenon_L914_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.15 apply (zenon_L155_); trivial. % 65.99/66.15 apply (zenon_L7_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.15 apply (zenon_L263_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.15 apply (zenon_L264_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.15 apply (zenon_L266_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.15 exact (zenon_H17 zenon_H14). % 65.99/66.15 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.15 apply (zenon_L915_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.15 apply (zenon_L155_); trivial. % 65.99/66.15 apply (zenon_L7_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.15 apply (zenon_L269_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.15 apply (zenon_L405_); trivial. % 65.99/66.15 apply (zenon_L301_); trivial. % 65.99/66.15 apply (zenon_L328_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.99/66.15 apply (zenon_L415_); trivial. % 65.99/66.15 apply (zenon_L485_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.99/66.15 apply (zenon_L529_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.99/66.15 apply (zenon_L559_); trivial. % 65.99/66.15 apply (zenon_L587_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.99/66.15 apply (zenon_L56_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.99/66.15 apply (zenon_L162_); trivial. % 65.99/66.15 apply (zenon_L58_); trivial. % 65.99/66.15 apply (zenon_L163_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H46b); [ zenon_intro zenon_H41d | zenon_intro zenon_H428 ]. % 65.99/66.15 apply (zenon_L604_); trivial. % 65.99/66.15 apply (zenon_L672_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H655); [ zenon_intro zenon_H459 | zenon_intro zenon_H656 ]. % 65.99/66.15 apply (zenon_L791_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H656); [ zenon_intro zenon_H46c | zenon_intro zenon_H47a ]. % 65.99/66.15 apply (zenon_L817_); trivial. % 65.99/66.15 apply (zenon_L848_); trivial. % 65.99/66.15 apply (zenon_notand_s _ _ zenon_H65d); [ zenon_intro zenon_H4f4 | zenon_intro zenon_H65e ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H647); [ zenon_intro zenon_H8f | zenon_intro zenon_H655 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H469); [ zenon_intro zenon_H3f | zenon_intro zenon_H46a ]. % 65.99/66.15 apply (zenon_L59_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H46a); [ zenon_intro zenon_H102 | zenon_intro zenon_H46b ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H455); [ zenon_intro zenon_H191 | zenon_intro zenon_H456 ]. % 65.99/66.15 apply (zenon_L164_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H456); [ zenon_intro zenon_H1bc | zenon_intro zenon_H457 ]. % 65.99/66.15 apply (zenon_L187_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H457); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1e2 ]. % 65.99/66.15 apply (zenon_L203_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.99/66.15 apply (zenon_L94_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.99/66.15 apply (zenon_L211_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.99/66.15 apply (zenon_L919_); trivial. % 65.99/66.15 apply (zenon_L163_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H46b); [ zenon_intro zenon_H41d | zenon_intro zenon_H428 ]. % 65.99/66.15 apply (zenon_L604_); trivial. % 65.99/66.15 apply (zenon_L672_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H655); [ zenon_intro zenon_H459 | zenon_intro zenon_H656 ]. % 65.99/66.15 apply (zenon_L791_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H656); [ zenon_intro zenon_H46c | zenon_intro zenon_H47a ]. % 65.99/66.15 apply (zenon_L817_); trivial. % 65.99/66.15 apply (zenon_L848_); trivial. % 65.99/66.15 apply (zenon_notand_s _ _ zenon_H65e); [ zenon_intro zenon_H505 | zenon_intro zenon_H65f ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H647); [ zenon_intro zenon_H8f | zenon_intro zenon_H655 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H469); [ zenon_intro zenon_H3f | zenon_intro zenon_H46a ]. % 65.99/66.15 apply (zenon_L59_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H46a); [ zenon_intro zenon_H102 | zenon_intro zenon_H46b ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.99/66.15 apply (zenon_L94_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.99/66.15 apply (zenon_L1_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.99/66.15 apply (zenon_L2_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.99/66.15 apply (zenon_L6_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.99/66.15 apply (zenon_L8_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.99/66.15 apply (zenon_L66_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.99/66.15 apply (zenon_L27_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.99/66.15 apply (zenon_L71_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.99/66.15 apply (zenon_L47_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.99/66.15 apply (zenon_L121_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.99/66.15 apply (zenon_L49_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.99/66.15 apply (zenon_L50_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.99/66.15 apply (zenon_L52_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.99/66.15 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.99/66.15 apply (zenon_L227_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.99/66.15 apply (zenon_L329_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.99/66.15 apply (zenon_L378_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.99/66.15 apply (zenon_L394_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.99/66.15 apply (zenon_L860_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.99/66.15 apply (zenon_L861_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.15 apply (zenon_L228_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.15 apply (zenon_L229_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.15 apply (zenon_L230_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.15 apply (zenon_L232_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.15 apply (zenon_L239_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.15 apply (zenon_L240_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.15 apply (zenon_L245_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.15 apply (zenon_L247_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.15 exact (zenon_H17 zenon_H14). % 65.99/66.15 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.99/66.15 apply (zenon_L926_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.99/66.15 apply (zenon_L136_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.99/66.15 apply (zenon_L120_); trivial. % 65.99/66.15 apply (zenon_L72_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.15 apply (zenon_L130_); trivial. % 65.99/66.15 apply (zenon_L7_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.15 apply (zenon_L263_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.15 apply (zenon_L264_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.15 apply (zenon_L266_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.15 apply (zenon_L930_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.15 apply (zenon_L269_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.15 apply (zenon_L405_); trivial. % 65.99/66.15 apply (zenon_L301_); trivial. % 65.99/66.15 apply (zenon_L328_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.99/66.15 apply (zenon_L415_); trivial. % 65.99/66.15 apply (zenon_L485_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.99/66.15 apply (zenon_L529_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.99/66.15 apply (zenon_L559_); trivial. % 65.99/66.15 apply (zenon_L587_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.99/66.15 apply (zenon_L56_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.99/66.15 apply (zenon_L134_); trivial. % 65.99/66.15 apply (zenon_L58_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.99/66.15 apply (zenon_L1_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.99/66.15 apply (zenon_L2_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.99/66.15 apply (zenon_L6_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.99/66.15 apply (zenon_L8_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.99/66.15 apply (zenon_L66_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.99/66.15 apply (zenon_L27_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.99/66.15 apply (zenon_L71_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.99/66.15 apply (zenon_L47_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.99/66.15 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.99/66.15 apply (zenon_L227_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.99/66.15 apply (zenon_L329_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.99/66.15 apply (zenon_L378_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.99/66.15 apply (zenon_L394_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.99/66.15 apply (zenon_L860_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.99/66.15 apply (zenon_L861_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.15 apply (zenon_L228_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.15 apply (zenon_L229_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.15 apply (zenon_L230_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.15 apply (zenon_L232_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.15 apply (zenon_L239_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.15 apply (zenon_L240_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.15 apply (zenon_L245_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.15 apply (zenon_L247_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.15 exact (zenon_H17 zenon_H14). % 65.99/66.15 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.99/66.15 apply (zenon_L926_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.99/66.15 apply (zenon_L136_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.99/66.15 apply (zenon_L147_); trivial. % 65.99/66.15 apply (zenon_L72_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.15 apply (zenon_L155_); trivial. % 65.99/66.15 apply (zenon_L7_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.15 apply (zenon_L263_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.15 apply (zenon_L264_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.15 apply (zenon_L266_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.99/66.15 apply (zenon_L929_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.99/66.15 apply (zenon_L118_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.99/66.15 apply (zenon_L147_); trivial. % 65.99/66.15 apply (zenon_L72_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.15 apply (zenon_L269_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.15 apply (zenon_L405_); trivial. % 65.99/66.15 apply (zenon_L301_); trivial. % 65.99/66.15 apply (zenon_L328_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.99/66.15 apply (zenon_L415_); trivial. % 65.99/66.15 apply (zenon_L485_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.99/66.15 apply (zenon_L529_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.99/66.15 apply (zenon_L559_); trivial. % 65.99/66.15 apply (zenon_L587_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.99/66.15 apply (zenon_L49_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.99/66.15 apply (zenon_L50_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.99/66.15 apply (zenon_L52_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.99/66.15 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.99/66.15 apply (zenon_L227_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.99/66.15 apply (zenon_L329_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.99/66.15 apply (zenon_L378_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.99/66.15 apply (zenon_L394_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.99/66.15 apply (zenon_L860_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.99/66.15 apply (zenon_L861_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.15 apply (zenon_L228_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.15 apply (zenon_L229_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.15 apply (zenon_L230_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.15 apply (zenon_L232_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.15 apply (zenon_L239_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.15 apply (zenon_L240_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.15 apply (zenon_L245_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.15 apply (zenon_L247_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.15 exact (zenon_H17 zenon_H14). % 65.99/66.15 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.99/66.15 apply (zenon_L926_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.99/66.15 apply (zenon_L136_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.99/66.15 apply (zenon_L153_); trivial. % 65.99/66.15 apply (zenon_L72_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.15 apply (zenon_L155_); trivial. % 65.99/66.15 apply (zenon_L7_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.15 apply (zenon_L263_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.15 apply (zenon_L264_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.15 apply (zenon_L266_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.15 exact (zenon_H17 zenon_H14). % 65.99/66.15 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.99/66.15 apply (zenon_L929_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.99/66.15 apply (zenon_L136_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.99/66.15 apply (zenon_L153_); trivial. % 65.99/66.15 apply (zenon_L72_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.15 apply (zenon_L155_); trivial. % 65.99/66.15 apply (zenon_L7_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.15 apply (zenon_L269_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.15 apply (zenon_L405_); trivial. % 65.99/66.15 apply (zenon_L301_); trivial. % 65.99/66.15 apply (zenon_L328_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.99/66.15 apply (zenon_L415_); trivial. % 65.99/66.15 apply (zenon_L485_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.99/66.15 apply (zenon_L529_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.99/66.15 apply (zenon_L559_); trivial. % 65.99/66.15 apply (zenon_L587_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.99/66.15 apply (zenon_L56_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.99/66.15 apply (zenon_L162_); trivial. % 65.99/66.15 apply (zenon_L58_); trivial. % 65.99/66.15 apply (zenon_L163_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H46b); [ zenon_intro zenon_H41d | zenon_intro zenon_H428 ]. % 65.99/66.15 apply (zenon_L604_); trivial. % 65.99/66.15 apply (zenon_L672_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H655); [ zenon_intro zenon_H459 | zenon_intro zenon_H656 ]. % 65.99/66.15 apply (zenon_L791_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H656); [ zenon_intro zenon_H46c | zenon_intro zenon_H47a ]. % 65.99/66.15 apply (zenon_L817_); trivial. % 65.99/66.15 apply (zenon_L848_); trivial. % 65.99/66.15 apply (zenon_notand_s _ _ zenon_H65f); [ zenon_intro zenon_H50b | zenon_intro zenon_H660 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H647); [ zenon_intro zenon_H8f | zenon_intro zenon_H655 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H469); [ zenon_intro zenon_H3f | zenon_intro zenon_H46a ]. % 65.99/66.15 apply (zenon_L59_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H46a); [ zenon_intro zenon_H102 | zenon_intro zenon_H46b ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.99/66.15 apply (zenon_L94_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.99/66.15 apply (zenon_L1_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.99/66.15 apply (zenon_L2_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.99/66.15 apply (zenon_L6_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.99/66.15 apply (zenon_L8_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.99/66.15 apply (zenon_L66_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.99/66.15 apply (zenon_L27_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.99/66.15 apply (zenon_L71_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.99/66.15 apply (zenon_L47_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.99/66.15 apply (zenon_L121_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.99/66.15 apply (zenon_L49_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.99/66.15 apply (zenon_L50_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.99/66.15 apply (zenon_L52_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.99/66.15 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.99/66.15 apply (zenon_L227_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.99/66.15 apply (zenon_L329_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.99/66.15 apply (zenon_L378_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.99/66.15 apply (zenon_L394_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.99/66.15 apply (zenon_L860_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.99/66.15 apply (zenon_L861_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.15 apply (zenon_L228_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.15 apply (zenon_L229_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.15 apply (zenon_L230_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.15 apply (zenon_L232_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.15 apply (zenon_L239_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.15 apply (zenon_L240_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.15 apply (zenon_L245_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.15 apply (zenon_L247_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.15 exact (zenon_H17 zenon_H14). % 65.99/66.15 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.99/66.15 apply (zenon_L934_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.99/66.15 apply (zenon_L136_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.99/66.15 apply (zenon_L120_); trivial. % 65.99/66.15 apply (zenon_L72_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.15 apply (zenon_L130_); trivial. % 65.99/66.15 apply (zenon_L7_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.15 apply (zenon_L263_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.15 apply (zenon_L264_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.15 apply (zenon_L266_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.15 apply (zenon_L937_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.15 apply (zenon_L269_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.15 apply (zenon_L405_); trivial. % 65.99/66.15 apply (zenon_L301_); trivial. % 65.99/66.15 apply (zenon_L328_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.99/66.15 apply (zenon_L415_); trivial. % 65.99/66.15 apply (zenon_L485_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.99/66.15 apply (zenon_L529_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.99/66.15 apply (zenon_L559_); trivial. % 65.99/66.15 apply (zenon_L587_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.99/66.15 apply (zenon_L56_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.99/66.15 apply (zenon_L134_); trivial. % 65.99/66.15 apply (zenon_L58_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.99/66.15 apply (zenon_L1_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.99/66.15 apply (zenon_L2_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.99/66.15 apply (zenon_L6_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.99/66.15 apply (zenon_L8_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.99/66.15 apply (zenon_L66_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.99/66.15 apply (zenon_L27_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.99/66.15 apply (zenon_L71_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.99/66.15 apply (zenon_L47_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 65.99/66.15 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc6. zenon_intro zenon_H15. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.99/66.15 apply (zenon_L227_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.99/66.15 apply (zenon_L329_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.99/66.15 apply (zenon_L378_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.99/66.15 apply (zenon_L394_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.99/66.15 apply (zenon_L860_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.99/66.15 apply (zenon_L861_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.15 apply (zenon_L228_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.15 apply (zenon_L229_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.15 apply (zenon_L230_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.15 apply (zenon_L232_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.15 apply (zenon_L239_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.15 apply (zenon_L240_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.15 apply (zenon_L245_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.15 apply (zenon_L247_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.15 exact (zenon_H17 zenon_H14). % 65.99/66.15 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.99/66.15 apply (zenon_L934_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.99/66.15 apply (zenon_L136_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.99/66.15 apply (zenon_L147_); trivial. % 65.99/66.15 apply (zenon_L72_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.15 apply (zenon_L155_); trivial. % 65.99/66.15 apply (zenon_L7_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.15 apply (zenon_L263_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.15 apply (zenon_L264_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.15 apply (zenon_L266_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.99/66.15 apply (zenon_L936_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.99/66.15 apply (zenon_L118_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.99/66.15 apply (zenon_L147_); trivial. % 65.99/66.15 apply (zenon_L72_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.15 apply (zenon_L269_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.15 apply (zenon_L405_); trivial. % 65.99/66.15 apply (zenon_L301_); trivial. % 65.99/66.15 apply (zenon_L328_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.99/66.15 apply (zenon_L415_); trivial. % 65.99/66.15 apply (zenon_L485_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.99/66.15 apply (zenon_L529_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.99/66.15 apply (zenon_L559_); trivial. % 65.99/66.15 apply (zenon_L587_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.99/66.15 apply (zenon_L49_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.99/66.15 apply (zenon_L50_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.99/66.15 apply (zenon_L52_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.99/66.15 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.99/66.15 apply (zenon_L227_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.99/66.15 apply (zenon_L329_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.99/66.15 apply (zenon_L378_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.99/66.15 apply (zenon_L394_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.99/66.15 apply (zenon_L860_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.99/66.15 apply (zenon_L861_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.15 apply (zenon_L228_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.15 apply (zenon_L229_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.15 apply (zenon_L230_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.15 apply (zenon_L232_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.15 apply (zenon_L239_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.15 apply (zenon_L240_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.15 apply (zenon_L245_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.15 apply (zenon_L247_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H230. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.15 exact (zenon_H17 zenon_H14). % 65.99/66.15 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.99/66.15 apply (zenon_L934_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.99/66.15 apply (zenon_L136_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.99/66.15 apply (zenon_L153_); trivial. % 65.99/66.15 apply (zenon_L72_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.15 apply (zenon_L155_); trivial. % 65.99/66.15 apply (zenon_L7_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.15 apply (zenon_L263_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.15 apply (zenon_L264_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.15 apply (zenon_L266_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H14 | zenon_intro zenon_H198 ]. % 65.99/66.15 exact (zenon_H17 zenon_H14). % 65.99/66.15 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H1b | zenon_intro zenon_H199 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H13a | zenon_intro zenon_H18a ]. % 65.99/66.15 apply (zenon_L936_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5d | zenon_intro zenon_H18b ]. % 65.99/66.15 apply (zenon_L136_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H187 | zenon_intro zenon_H11a ]. % 65.99/66.15 apply (zenon_L153_); trivial. % 65.99/66.15 apply (zenon_L72_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H31 | zenon_intro zenon_H34 ]. % 65.99/66.15 apply (zenon_L155_); trivial. % 65.99/66.15 apply (zenon_L7_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.15 apply (zenon_L269_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.15 apply (zenon_L405_); trivial. % 65.99/66.15 apply (zenon_L301_); trivial. % 65.99/66.15 apply (zenon_L328_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.99/66.15 apply (zenon_L415_); trivial. % 65.99/66.15 apply (zenon_L485_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.99/66.15 apply (zenon_L529_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.99/66.15 apply (zenon_L559_); trivial. % 65.99/66.15 apply (zenon_L587_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.99/66.15 apply (zenon_L56_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.99/66.15 apply (zenon_L162_); trivial. % 65.99/66.15 apply (zenon_L58_); trivial. % 65.99/66.15 apply (zenon_L163_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H46b); [ zenon_intro zenon_H41d | zenon_intro zenon_H428 ]. % 65.99/66.15 apply (zenon_L604_); trivial. % 65.99/66.15 apply (zenon_L672_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H655); [ zenon_intro zenon_H459 | zenon_intro zenon_H656 ]. % 65.99/66.15 apply (zenon_L791_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H656); [ zenon_intro zenon_H46c | zenon_intro zenon_H47a ]. % 65.99/66.15 apply (zenon_L817_); trivial. % 65.99/66.15 apply (zenon_L848_); trivial. % 65.99/66.15 apply (zenon_notand_s _ _ zenon_H660); [ zenon_intro zenon_H516 | zenon_intro zenon_H661 ]. % 65.99/66.15 apply (zenon_L941_); trivial. % 65.99/66.15 apply (zenon_notand_s _ _ zenon_H661); [ zenon_intro zenon_H526 | zenon_intro zenon_H662 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H647); [ zenon_intro zenon_H8f | zenon_intro zenon_H655 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H469); [ zenon_intro zenon_H3f | zenon_intro zenon_H46a ]. % 65.99/66.15 apply (zenon_L59_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H46a); [ zenon_intro zenon_H102 | zenon_intro zenon_H46b ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H455); [ zenon_intro zenon_H191 | zenon_intro zenon_H456 ]. % 65.99/66.15 apply (zenon_L164_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H456); [ zenon_intro zenon_H1bc | zenon_intro zenon_H457 ]. % 65.99/66.15 apply (zenon_L187_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H457); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1e2 ]. % 65.99/66.15 apply (zenon_L203_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H127 | zenon_intro zenon_H1b9 ]. % 65.99/66.15 apply (zenon_L94_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H15d | zenon_intro zenon_H1ba ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.99/66.15 apply (zenon_L1_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.99/66.15 apply (zenon_L2_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.99/66.15 apply (zenon_L6_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.99/66.15 apply (zenon_L8_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.99/66.15 apply (zenon_L66_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.99/66.15 apply (zenon_L27_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.99/66.15 apply (zenon_L71_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.99/66.15 apply (zenon_L47_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.99/66.15 apply (zenon_L121_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.99/66.15 apply (zenon_L49_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.99/66.15 apply (zenon_L50_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.99/66.15 apply (zenon_L52_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Hda. zenon_intro zenon_Hdd. % 65.99/66.15 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hde. zenon_intro zenon_H15. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H72. zenon_intro zenon_H7f. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H4f. zenon_intro zenon_H9b. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H285 | zenon_intro zenon_H48e ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H404); [ zenon_intro zenon_H205 | zenon_intro zenon_H405 ]. % 65.99/66.15 apply (zenon_L227_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H249 | zenon_intro zenon_H406 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H3f1 ]. % 65.99/66.15 apply (zenon_L329_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H35a | zenon_intro zenon_H3f4 ]. % 65.99/66.15 apply (zenon_L378_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H386 | zenon_intro zenon_H3a7 ]. % 65.99/66.15 apply (zenon_L394_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H29a | zenon_intro zenon_H355 ]. % 65.99/66.15 apply (zenon_L860_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H314 | zenon_intro zenon_H358 ]. % 65.99/66.15 apply (zenon_L861_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H343 | zenon_intro zenon_H351 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H22d | zenon_intro zenon_H32d ]. % 65.99/66.15 apply (zenon_L228_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H233 | zenon_intro zenon_H32e ]. % 65.99/66.15 apply (zenon_L229_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H23c | zenon_intro zenon_H32f ]. % 65.99/66.15 apply (zenon_L230_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H243 | zenon_intro zenon_H330 ]. % 65.99/66.15 apply (zenon_L232_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H25e | zenon_intro zenon_H331 ]. % 65.99/66.15 apply (zenon_L239_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H262 | zenon_intro zenon_H332 ]. % 65.99/66.15 apply (zenon_L240_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H26c | zenon_intro zenon_H333 ]. % 65.99/66.15 apply (zenon_L245_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H279 | zenon_intro zenon_H334 ]. % 65.99/66.15 apply (zenon_L247_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H335 ]. % 65.99/66.15 apply (zenon_L952_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H2bc | zenon_intro zenon_H336 ]. % 65.99/66.15 apply (zenon_L263_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H337 ]. % 65.99/66.15 apply (zenon_L264_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H2cc | zenon_intro zenon_H338 ]. % 65.99/66.15 apply (zenon_L266_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H2cf | zenon_intro zenon_H339 ]. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2a4. zenon_intro zenon_H230. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H232. zenon_intro zenon_H231. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H25b. zenon_intro zenon_H261. % 65.99/66.15 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H1ff. zenon_intro zenon_H2b7. % 65.99/66.15 apply (zenon_L951_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H33a ]. % 65.99/66.15 apply (zenon_L269_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33b | zenon_intro zenon_H306 ]. % 65.99/66.15 apply (zenon_L405_); trivial. % 65.99/66.15 apply (zenon_L301_); trivial. % 65.99/66.15 apply (zenon_L328_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3bc ]. % 65.99/66.15 apply (zenon_L415_); trivial. % 65.99/66.15 apply (zenon_L485_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H48f ]. % 65.99/66.15 apply (zenon_L529_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H407 | zenon_intro zenon_H419 ]. % 65.99/66.15 apply (zenon_L559_); trivial. % 65.99/66.15 apply (zenon_L587_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.99/66.15 apply (zenon_L56_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.99/66.15 apply (zenon_L134_); trivial. % 65.99/66.15 apply (zenon_L58_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b6 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.99/66.15 apply (zenon_L1_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.99/66.15 apply (zenon_L2_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.99/66.15 apply (zenon_L6_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.99/66.15 apply (zenon_L8_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.99/66.15 apply (zenon_L66_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.99/66.15 apply (zenon_L27_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.99/66.15 apply (zenon_L71_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.99/66.15 apply (zenon_L47_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.99/66.15 apply (zenon_L958_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.99/66.15 apply (zenon_L49_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.99/66.15 apply (zenon_L50_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.99/66.15 apply (zenon_L52_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.99/66.15 apply (zenon_L960_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.99/66.15 apply (zenon_L56_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.99/66.15 apply (zenon_L162_); trivial. % 65.99/66.15 apply (zenon_L58_); trivial. % 65.99/66.15 apply (zenon_L163_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H46b); [ zenon_intro zenon_H41d | zenon_intro zenon_H428 ]. % 65.99/66.15 apply (zenon_L604_); trivial. % 65.99/66.15 apply (zenon_L672_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H655); [ zenon_intro zenon_H459 | zenon_intro zenon_H656 ]. % 65.99/66.15 apply (zenon_L791_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H656); [ zenon_intro zenon_H46c | zenon_intro zenon_H47a ]. % 65.99/66.15 apply (zenon_L817_); trivial. % 65.99/66.15 apply (zenon_L848_); trivial. % 65.99/66.15 apply (zenon_notand_s _ _ zenon_H662); [ zenon_intro zenon_H52d | zenon_intro zenon_H663 ]. % 65.99/66.15 apply (zenon_L961_); trivial. % 65.99/66.15 apply (zenon_notand_s _ _ zenon_H663); [ zenon_intro zenon_H53b | zenon_intro zenon_H664 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H647); [ zenon_intro zenon_H8f | zenon_intro zenon_H655 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H469); [ zenon_intro zenon_H3f | zenon_intro zenon_H46a ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H12 | zenon_intro zenon_Hf1 ]. % 65.99/66.15 apply (zenon_L1_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf2 ]. % 65.99/66.15 apply (zenon_L2_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H2f | zenon_intro zenon_Hf3 ]. % 65.99/66.15 apply (zenon_L6_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf4 ]. % 65.99/66.15 apply (zenon_L8_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H7c | zenon_intro zenon_Hf5 ]. % 65.99/66.15 apply (zenon_L26_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H80 | zenon_intro zenon_Hf6 ]. % 65.99/66.15 apply (zenon_L27_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf7 ]. % 65.99/66.15 apply (zenon_L969_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hf8 ]. % 65.99/66.15 apply (zenon_L47_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hf9 ]. % 65.99/66.15 apply (zenon_L48_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hfa ]. % 65.99/66.15 apply (zenon_L49_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hfb ]. % 65.99/66.15 apply (zenon_L50_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hfc ]. % 65.99/66.15 apply (zenon_L52_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hfd ]. % 65.99/66.15 apply (zenon_L55_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hfe ]. % 65.99/66.15 apply (zenon_L56_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He3 | zenon_intro zenon_He7 ]. % 65.99/66.15 apply (zenon_L970_); trivial. % 65.99/66.15 apply (zenon_L58_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H46a); [ zenon_intro zenon_H102 | zenon_intro zenon_H46b ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H455); [ zenon_intro zenon_H191 | zenon_intro zenon_H456 ]. % 65.99/66.15 apply (zenon_L164_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H456); [ zenon_intro zenon_H1bc | zenon_intro zenon_H457 ]. % 65.99/66.15 apply (zenon_L187_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H457); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1e2 ]. % 65.99/66.15 apply (zenon_L203_); trivial. % 65.99/66.15 apply (zenon_L1008_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H46b); [ zenon_intro zenon_H41d | zenon_intro zenon_H428 ]. % 65.99/66.15 apply (zenon_L604_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H455); [ zenon_intro zenon_H191 | zenon_intro zenon_H456 ]. % 65.99/66.15 apply (zenon_L644_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H456); [ zenon_intro zenon_H1bc | zenon_intro zenon_H457 ]. % 65.99/66.15 apply (zenon_L648_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H457); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1e2 ]. % 65.99/66.15 apply (zenon_L655_); trivial. % 65.99/66.15 apply (zenon_L1008_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H655); [ zenon_intro zenon_H459 | zenon_intro zenon_H656 ]. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H469); [ zenon_intro zenon_H3f | zenon_intro zenon_H46a ]. % 65.99/66.15 apply (zenon_L751_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H46a); [ zenon_intro zenon_H102 | zenon_intro zenon_H46b ]. % 65.99/66.15 apply (zenon_L774_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H46b); [ zenon_intro zenon_H41d | zenon_intro zenon_H428 ]. % 65.99/66.15 apply (zenon_L1009_); trivial. % 65.99/66.15 apply (zenon_L790_); trivial. % 65.99/66.15 apply (zenon_or_s _ _ zenon_H656); [ zenon_intro zenon_H46c | zenon_intro zenon_H47a ]. % 65.99/66.15 apply (zenon_L817_); trivial. % 65.99/66.15 apply (zenon_L848_); trivial. % 65.99/66.15 apply (zenon_notand_s _ _ zenon_H664); [ zenon_intro zenon_H541 | zenon_intro zenon_H665 ]. % 65.99/66.15 apply (zenon_L1010_); trivial. % 65.99/66.15 apply (zenon_notand_s _ _ zenon_H665); [ zenon_intro zenon_H547 | zenon_intro zenon_H666 ]. % 65.99/66.15 apply (zenon_L1011_); trivial. % 65.99/66.15 apply (zenon_notand_s _ _ zenon_H666); [ zenon_intro zenon_H549 | zenon_intro zenon_H667 ]. % 65.99/66.15 apply (zenon_L1012_); trivial. % 65.99/66.15 apply (zenon_notand_s _ _ zenon_H667); [ zenon_intro zenon_H54d | zenon_intro zenon_H553 ]. % 65.99/66.15 apply (zenon_L1013_); trivial. % 65.99/66.15 apply (zenon_L1014_); trivial. % 65.99/66.15 Qed. % 65.99/66.15 % SZS output end Proof % 65.99/66.15 (* END-PROOF *) % 65.99/66.15 nodes searched: 2019601 % 65.99/66.15 max branch formulas: 2152 % 65.99/66.15 proof nodes created: 34813 % 65.99/66.15 formulas created: 1184822 % 65.99/66.15 %------------------------------------------------------------------------------